(****************************************************************)
(*  This file contains expressions for the nine coproduct       *)
(*  entries of the complete basis of parity even weight 7       *)
(*  hexagon functions D1[u,v,w], ... , D36[u,v,w].              *)
(*                                                              *)
(*  The coproduct entries of the nth basis function Dn[u,v,w]   *)
(*  can be extracted from the provided expressions by isolating *)
(*  the coefficient of d[n] in each expression. For instance,   *)
(*  the w coproduct entry of D1[u,v,w], denoted by              *)
(*  D1[u,v,w]^w, can be extracted in Mathematica using          *)
(*                                                              *)
(*       DuvwCoproductEntries[w]/.d[1]->1/.d[_]->0              *)
(*                                                              *)
(****************************************************************)


DuvwCoproductEntries[1 - u] = -5*B11[u, v, w]*d[5] + B2[u, w, v]*d[5] + 
     B4[v, w, u]*d[9] + B4[u, v, w]*d[16] + B3[u, v, w]*d[19] + 
     B5[v, u, w]*(-d[19] - d[22]) + B5[w, u, v]*(-d[19] - d[22]) + 
     B10[u, v, w]*(4*d[8] - d[9] + 4*d[10] - 8*d[16] - 8*d[24]) + 
     B5[v, w, u]*(-d[16]/2 - (3*d[24])/2) + 
     B5[w, v, u]*(d[5] + d[7] + d[8] - d[16]/2 - (3*d[24])/2) + 
     B6[v, w, u]*(-d[17]/2 + d[18]/2 - d[24]) + 
     B6[w, v, u]*(-d[6] - d[17]/2 + d[18]/2 - d[24]) + 
     B8[v, w, u]*(d[7] + d[8] - d[9] - (3*d[10])/2 + d[24]/2) + 
     B8[w, u, v]*(d[1] + d[10] + d[24]/2) + B6[u, v, w]*(d[16]/2 + d[24]/2) + 
     B6[u, w, v]*(d[11]/2 + d[16]/2 + d[24]/2) + 
     B5[u, v, w]*(d[16] + d[24]) + B5[u, w, v]*(d[16] + d[24]) + 
     B10[v, w, u]*(d[5] - 2*d[9] + d[10] - 2*d[11] - d[16] + 2*d[24]) + 
     B11[v, w, u]*(-d[22] + 3*d[24]) + B7[v, w, u]*(-d[5] + d[7] - d[8] - 
       3*d[10] + 3*d[16] - d[19] - d[22] + 4*d[24]) + 
     B7[w, u, v]*(d[1] - d[5] - d[8] - d[10] + 3*d[16] - d[19] - d[22] + 
       4*d[24]) + B10[w, u, v]*(-2*d[7] - d[8] + d[9] - d[16] + 2*d[24] + 
       d[27]) + B11[w, u, v]*(-d[5] - d[7] - 2*d[8] - d[10] - d[11] - d[22] + 
       3*d[24] + d[27]) + B9[u, v, w]*d[29] + B8[u, v, w]*d[33] + 
     B7[u, v, w]*(d[9] - d[21] + d[22] + d[34]) + 
     (d[3]/8 + d[4]/12 + (3*d[5])/8 + (5*d[6])/48 + d[7]/8 + d[8]/24 + 
       d[9]/6 + (23*d[10])/48 - (7*d[11])/48 + d[12]/6 - (7*d[13])/12 - 
       d[14]/6 + (5*d[15])/48 + (11*d[16])/24 + d[18]/6 - d[19]/48 - 
       (5*d[20])/8 - d[21]/2 + (5*d[22])/16 - d[23]/4 + (17*d[24])/48 - 
       d[26]/48 - d[27]/6 - d[31]/12 - d[32]/24 - d[33]/3 + (5*d[34])/12 + 
       d[36]/4)*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2 + 
     (-d[3]/6 + d[4]/6 - (5*d[5])/8 - (5*d[6])/8 - (61*d[7])/96 - 
       (13*d[8])/96 + (25*d[9])/96 + d[10]/4 - (13*d[11])/48 + (3*d[12])/8 + 
       (4*d[13])/3 - d[14]/3 - (7*d[15])/6 - (17*d[16])/24 + (23*d[17])/24 - 
       (31*d[18])/24 + (13*d[19])/8 - (7*d[20])/32 + d[21]/12 + 
       (41*d[22])/24 - (37*d[23])/48 - (7*d[24])/6 + d[26]/4 - d[31]/6 - 
       d[32]/12 + d[34]/6 + d[36]/2)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3 + 
     (d[7]/4 + d[8] - (5*d[9])/6 - d[10]/3 - (5*d[11])/6 - (9*d[12])/16 + 
       (3*d[13])/16 - d[14]/16 - (3*d[17])/16 + (93*d[20])/16 + 3*d[23] - 
       (17*d[24])/8)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4 + 
     (d[4]/6 + d[5]/12 + d[6]/3 + (2*d[12])/3 + (4*d[15])/3 - (47*d[19])/36 - 
       (5*d[20])/8 - (5*d[21])/3 - d[22] + d[23]/12 + (15*d[24])/8)*
      HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     (-d[2]/12 - (2*d[3])/3 - (3*d[4])/4 + (197*d[5])/72 - (43*d[6])/72 - 
       d[7] - (29*d[8])/36 + (103*d[9])/72 + (35*d[10])/24 + (97*d[11])/24 - 
       (2*d[12])/3 - (13*d[13])/4 + d[14]/2 - (163*d[15])/24 - 
       (29*d[16])/36 + (13*d[17])/36 - (46*d[18])/9 + (487*d[19])/72 - 
       (167*d[20])/12 + (85*d[21])/9 + (503*d[22])/72 - (19*d[23])/3 - 
       (1409*d[24])/144 - d[26]/2 + (7*d[27])/9 + d[31]/2 + d[32]/4 - 
       (5*d[33])/9 + d[34]/18 + d[36]/2)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w] + ((-7*d[2])/18 + (4*d[4])/9 - (2*d[5])/9 + d[6]/9 - 
       d[7]/24 - (5*d[8])/8 + (49*d[9])/72 + (37*d[10])/36 - (20*d[11])/9 - 
       (5*d[12])/9 - (17*d[13])/36 + d[15]/3 - (5*d[16])/12 + d[17]/18 - 
       d[18]/18 - (5*d[19])/18 + (569*d[20])/36 - (5*d[21])/9 - 
       (7*d[22])/18 + (121*d[23])/18 + (217*d[24])/72 - d[26]/9 - 
       (5*d[27])/12 + d[33]/9 - d[34]/9)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w] + (d[5]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w])/12 + (-d[3]/2 + (5*d[4])/8 - (3*d[5])/16 - 
       (3*d[6])/8 - (3*d[7])/8 + (3*d[8])/4 - (7*d[9])/16 + (3*d[10])/16 - 
       (7*d[11])/16 + (3*d[12])/8 + d[13]/2 - d[14]/2 - (5*d[15])/16 - 
       (5*d[16])/4 + d[17]/4 + (3*d[18])/4 + (15*d[19])/16 + (5*d[20])/16 - 
       d[21]/2 + (19*d[22])/16 - (3*d[23])/8 - (35*d[24])/16 + d[26]/8 - 
       d[33]/4 + d[34]/4 + (3*d[36])/2)*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^2 + 
     ((-5*d[2])/12 - d[3]/2 - d[4]/3 + (59*d[5])/36 - (61*d[6])/72 - 
       (43*d[7])/36 - (17*d[8])/18 + (31*d[9])/18 + (217*d[10])/72 + 
       (259*d[11])/72 - (43*d[12])/24 - (13*d[13])/4 + d[14]/2 - 
       (163*d[15])/24 - (29*d[16])/36 + (13*d[17])/36 - (46*d[18])/9 + 
       (487*d[19])/72 - (167*d[20])/12 + (85*d[21])/9 + (503*d[22])/72 - 
       (19*d[23])/3 - (1409*d[24])/144 - (13*d[26])/24 + (11*d[27])/36 + 
       d[31]/2 + d[32]/4 - (5*d[33])/9 + d[34]/18 + d[36]/2)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2 + 
     (d[2]/2 - (2*d[3])/3 - d[4]/6 + (11*d[5])/6 - (3*d[6])/4 + 
       (49*d[7])/24 - (67*d[8])/24 + (73*d[9])/24 + (11*d[10])/12 + 
       (5*d[11])/4 - (25*d[12])/24 - (5*d[13])/6 + (5*d[14])/6 - 
       (23*d[15])/6 + (11*d[16])/12 + (5*d[17])/6 - d[18]/2 + (43*d[19])/12 + 
       (13*d[20])/12 + (16*d[21])/3 + (49*d[22])/12 - (5*d[23])/8 + 
       (11*d[24])/4 - (5*d[26])/12 + d[27]/4 + d[31]/2 + d[32]/4 - d[33]/2 + 
       d[36]/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2 + 
     (-d[2]/3 + d[3]/4 - d[4]/12 + (37*d[5])/72 + d[6]/12 - (19*d[7])/288 - 
       (95*d[8])/288 - (17*d[9])/288 + (11*d[10])/36 - (137*d[11])/144 - 
       (7*d[13])/18 - (7*d[14])/36 + (5*d[15])/24 - (2*d[16])/9 - d[17]/36 - 
       (5*d[18])/36 - (5*d[19])/36 - (15*d[20])/32 - (7*d[21])/18 - 
       d[22]/12 - d[23]/16 + (23*d[24])/36 - d[26]/24 - (11*d[27])/72 - 
       d[31]/6 - d[32]/12 - d[33]/18 + (2*d[34])/9 - d[36]/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2 + 
     (d[7]/8 + d[8]/8 + d[9]/24 - d[10]/12 + d[11]/6 - d[13]/4 - d[24]/8)*
      HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2 + 
     (d[2]/9 + d[3]/2 - d[4]/12 - d[5]/6 - d[6]/8 + (65*d[7])/96 - 
       (11*d[8])/96 + (5*d[9])/32 - (5*d[10])/12 - (41*d[11])/48 - 
       (7*d[12])/24 + d[13]/4 - (3*d[15])/4 + d[16] + (17*d[17])/24 - 
       (15*d[18])/8 + (2*d[19])/3 - (37*d[20])/32 + d[21]/12 + (5*d[22])/6 - 
       (31*d[23])/48 + (11*d[24])/8 - (3*d[27])/8 - d[31]/4 - d[32]/8 - 
       d[33]/12 + d[34]/3 - (3*d[36])/4)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]^3 + (d[2]/3 - (2*d[4])/9 - (7*d[5])/36 - d[6]/9 + 
       (7*d[7])/36 - (7*d[8])/18 + (3*d[9])/4 - (19*d[10])/36 + 
       (11*d[11])/18 - (13*d[12])/18 - (17*d[13])/36 + d[15]/3 - 
       (5*d[16])/12 + d[17]/18 - d[18]/18 - (5*d[19])/18 + (569*d[20])/36 - 
       (5*d[21])/9 - (7*d[22])/18 + (121*d[23])/18 + (217*d[24])/72 + 
       (2*d[26])/9 + (13*d[27])/36 + d[33]/9 - d[34]/9)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3 + 
     (d[2]/3 - d[3]/4 + d[4]/3 - d[5]/4 - (19*d[6])/72 - (59*d[7])/96 + 
       (319*d[8])/288 - (29*d[9])/96 + (25*d[10])/18 - (5*d[11])/48 + 
       d[12]/8 + (25*d[13])/36 - (19*d[14])/36 - (5*d[15])/24 - 
       (139*d[16])/72 + (2*d[17])/9 + (4*d[18])/9 + (59*d[19])/72 + 
       (15*d[20])/32 - (7*d[21])/18 + (19*d[22])/24 - (3*d[23])/16 - 
       (137*d[24])/72 + d[26]/6 + (2*d[27])/9 - d[31]/12 - d[32]/24 + 
       d[33]/36 + d[34]/18 + d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^3 + ((-3*d[7])/8 - (3*d[8])/8 + (7*d[9])/24 + 
       (5*d[10])/12 - d[11]/12 + d[13]/2 + d[24]/4)*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^3 + (-d[5]/16 - (3*d[7])/8 + (5*d[8])/8 - (7*d[9])/8 - 
       d[12] + (3*d[13])/16 - d[14]/16 - (3*d[17])/16 + (93*d[20])/16 + 
       3*d[23] - (17*d[24])/8)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4 + 
     (d[5]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4)/12 + 
     (d[7]/4 + d[8]/4 - d[9]/3 - d[10]/3 - d[11]/12 - d[13]/4 - d[24]/8)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4 + 
     (d[3] - (5*d[4])/3 - d[5]/4 + (2*d[6])/3 + (3*d[7])/8 - (41*d[8])/24 + 
       (13*d[9])/24 - (4*d[10])/3 + (5*d[11])/3 - (13*d[12])/12 + d[13]/6 + 
       (4*d[14])/3 + d[15]/6 + (13*d[16])/12 - d[17]/2 - (11*d[18])/6 - 
       (19*d[19])/12 + (9*d[20])/8 + 3*d[21] - (11*d[22])/4 + (5*d[23])/4 + 
       (47*d[24])/12 - d[26]/3 + (7*d[27])/12 + d[31]/6 + d[32]/12 + 
       (7*d[33])/6 - (4*d[34])/3 - (7*d[36])/2)*HPL[{1}, 1 - u]^4*
      HPL[{0, 1}, 1 - u] + (-2*d[3] + (17*d[4])/12 + (13*d[5])/8 + 
       (7*d[6])/8 - (3*d[7])/4 + (9*d[8])/4 - (25*d[9])/24 + (17*d[10])/6 + 
       (7*d[11])/12 - d[12]/2 - 2*d[13] + (3*d[14])/4 - d[15]/8 - 
       (7*d[16])/2 - d[17]/2 + (3*d[18])/2 + (41*d[19])/24 - (17*d[20])/8 + 
       d[21]/2 + (21*d[22])/8 - d[23] - (59*d[24])/8 - (3*d[26])/8 + 
       d[27]/4 + d[31] + d[32]/2 - d[33] + 3*d[36])*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u] + 
     (-d[2] + 2*d[3] - (8*d[4])/9 - (21*d[5])/8 - (23*d[6])/72 + 
       (7*d[7])/24 - (59*d[8])/72 - (11*d[9])/72 - (161*d[10])/72 - 
       (173*d[11])/72 - d[12]/36 + (85*d[13])/18 - (89*d[14])/36 - 
       (37*d[15])/36 + (65*d[16])/72 + (13*d[17])/4 - (109*d[18])/36 + 
       (73*d[19])/72 + (93*d[20])/16 - d[21]/2 + (17*d[22])/24 - d[23]/12 + 
       (713*d[24])/144 + (11*d[26])/36 - (2*d[27])/9 - (29*d[31])/18 - 
       (29*d[32])/36 + (11*d[33])/36 + (47*d[34])/36 - (7*d[36])/6)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     (d[2] + d[4]/3 - d[5] - (13*d[6])/12 - (97*d[7])/48 - (53*d[8])/48 + 
       (259*d[9])/144 + (145*d[10])/36 - (85*d[11])/72 - (13*d[12])/12 + 
       (43*d[13])/12 - d[14] - (11*d[15])/6 - (35*d[16])/12 + (5*d[17])/4 - 
       (7*d[18])/12 + (17*d[19])/6 + (149*d[20])/16 + d[21] + (11*d[22])/4 + 
       (77*d[23])/24 + d[24]/6 + d[26]/6 + d[27]/12 - d[31]/3 - d[32]/6 + 
       d[33]/6 + d[34]/6 + d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - u] + ((-3*d[7])/4 - (3*d[8])/4 + (13*d[9])/12 + 
       d[10]/3 + d[11]/3 + d[13]/2 + (3*d[14])/8 - d[24]/4)*HPL[{1}, 1 - v]^4*
      HPL[{0, 1}, 1 - u] + (-2*d[3] + (4*d[4])/3 + (11*d[5])/6 - d[6]/4 - 
       (17*d[7])/8 + (5*d[8])/4 + (19*d[9])/24 + (31*d[10])/24 + 
       (37*d[11])/24 + (5*d[12])/4 - 2*d[13] + (3*d[14])/4 - d[15]/8 - 
       (7*d[16])/2 - d[17]/2 + (3*d[18])/2 + (41*d[19])/24 - (17*d[20])/8 + 
       d[21]/2 + (21*d[22])/8 - d[23] - (59*d[24])/8 - d[26]/4 + 
       (3*d[27])/8 + d[31] + d[32]/2 - d[33] + 3*d[36])*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (d[2]/2 - (4*d[4])/3 + (41*d[5])/6 - (13*d[6])/6 + (13*d[7])/4 - 
       (13*d[8])/4 + (25*d[9])/12 - (7*d[10])/3 + (41*d[11])/6 + 
       (3*d[12])/2 - (19*d[13])/3 + (10*d[14])/3 + (35*d[15])/3 + 
       (17*d[16])/2 - (11*d[17])/3 - (11*d[18])/3 - (33*d[19])/2 - 
       (33*d[20])/2 - (19*d[21])/3 - (109*d[22])/6 + 10*d[23] + 
       (337*d[24])/12 - (2*d[26])/3 + d[27]/6 + d[29]/6 + (5*d[31])/3 + 
       (5*d[32])/6 + (4*d[33])/3 - 3*d[34] - 5*d[36])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (-d[2]/3 - d[4]/3 - d[5] + (11*d[6])/6 + (35*d[7])/12 - (41*d[8])/12 - 
       (139*d[9])/36 - (361*d[10])/36 + (31*d[11])/18 + (7*d[12])/6 - 
       (8*d[13])/3 + (4*d[14])/3 + (4*d[15])/3 + 7*d[16] - (2*d[18])/3 - 
       2*d[19] - (15*d[20])/2 + d[21]/3 - (8*d[22])/3 - (5*d[23])/3 + 
       (113*d[24])/12 - d[26]/6 + d[27]/2 - d[29]/6 + d[31]/3 + d[32]/6 + 
       (2*d[33])/3 - d[34] - d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((7*d[7])/4 + (7*d[8])/4 - (29*d[9])/12 - (2*d[10])/3 - (2*d[11])/3 - 
       d[13]/2 - (13*d[14])/18 - (3*d[24])/4)*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((7*d[3])/3 - (11*d[4])/6 - (7*d[5])/3 + (4*d[6])/3 + (7*d[7])/12 - 
       (41*d[8])/24 - d[9]/8 - (73*d[10])/24 - (5*d[11])/2 - (43*d[12])/24 + 
       4*d[13] - (9*d[14])/4 - (3*d[15])/4 + (49*d[16])/24 + (37*d[17])/12 - 
       (41*d[18])/12 + (3*d[19])/8 + (83*d[20])/16 - d[21]/2 + d[22]/8 + 
       (319*d[24])/48 + d[26]/2 - d[27]/8 - (5*d[31])/3 - (5*d[32])/6 + 
       d[33]/4 + (17*d[34])/12 - 2*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + (d[2]/18 - d[4]/3 + d[5]/3 + (11*d[6])/6 + 
       (9*d[7])/4 - (17*d[8])/4 + (77*d[9])/12 + (11*d[10])/3 + 
       (11*d[11])/2 + 2*d[12] - (8*d[13])/3 + (4*d[14])/3 + (4*d[15])/3 + 
       7*d[16] - (2*d[18])/3 - 2*d[19] - (15*d[20])/2 + d[21]/3 - 
       (8*d[22])/3 - (5*d[23])/3 + (113*d[24])/12 - d[26]/6 - (3*d[27])/2 - 
       d[29]/6 + d[31]/3 + d[32]/6 + (2*d[33])/3 - d[34] - d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (d[5]/3 - d[7] - d[8] + d[9] - d[13]/3 + (5*d[14])/6 + (7*d[24])/3)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (-d[2]/3 + d[3] - d[4] - d[5]/4 - d[6]/4 + (19*d[7])/16 - (31*d[8])/48 - 
       (13*d[9])/48 - d[10]/2 - (15*d[11])/8 - (3*d[12])/2 + (17*d[13])/12 - 
       d[14]/3 - d[15] + d[16]/2 + (3*d[17])/4 - (7*d[18])/4 + 
       (11*d[19])/12 + (119*d[20])/16 + d[21] + d[22] + (83*d[23])/24 + 
       (21*d[24])/4 - d[31]/2 - d[32]/4 + d[34]/2 - (3*d[36])/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     (-d[5]/9 + (5*d[9])/6 + d[10]/3 + (5*d[11])/6 - d[13]/2 - 
       (13*d[14])/18 - (3*d[24])/4)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - u] + (-d[9]/2 - d[11]/2 + d[13]/2 + (3*d[14])/8 - 
       d[24]/4)*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u] + 
     ((5*d[4])/3 - (5*d[5])/4 - (7*d[6])/6 + (7*d[8])/3 - (17*d[9])/12 + 
       (17*d[10])/6 - (11*d[11])/3 + (11*d[12])/6 + (4*d[13])/3 - 
       (4*d[14])/3 - (7*d[15])/6 - (4*d[16])/3 + (5*d[17])/2 - d[18]/6 + 
       (17*d[19])/6 - (7*d[20])/4 - 4*d[21] + (7*d[22])/2 - (3*d[23])/2 - 
       (8*d[24])/3 + (5*d[26])/6 - (5*d[27])/6 - (2*d[31])/3 - d[32]/3 - 
       (2*d[33])/3 + (4*d[34])/3 + 2*d[36])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]^2 + ((-3*d[3])/2 + d[4] + d[5]/4 - d[6]/4 - 
       (17*d[7])/8 + (11*d[8])/8 - (29*d[9])/24 + (5*d[10])/3 + 
       (59*d[11])/12 + 3*d[12] + (3*d[15])/4 - (31*d[16])/8 + d[17]/2 + 
       d[18] - d[19]/2 - (15*d[20])/8 + d[21]/2 - (3*d[22])/2 + (5*d[23])/4 + 
       (7*d[24])/8 + d[26]/4 + d[27] + d[31] + d[32]/2 + d[33] - 2*d[34] + 
       (3*d[36])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     (-d[7]/2 - (5*d[8])/8 + d[9]/8 + (9*d[10])/16 - d[11]/2 + d[12]/2 + 
       (7*d[13])/4 - d[23]/2 - (7*d[24])/16 + d[28]/8 + d[30]/2)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2 + 
     (d[2]/2 + d[3]/2 - (2*d[4])/3 + (3*d[5])/2 + (5*d[6])/12 + (17*d[7])/8 - 
       (71*d[8])/24 - d[9]/8 - (5*d[10])/4 - (9*d[11])/4 - (7*d[12])/3 - 
       (13*d[13])/3 + (4*d[14])/3 + (29*d[15])/12 + (71*d[16])/24 - d[17]/2 - 
       (4*d[18])/3 - (13*d[19])/3 - (45*d[20])/8 + d[21]/2 - 5*d[22] + 
       (7*d[23])/4 + (265*d[24])/24 - (7*d[26])/12 - (5*d[27])/12 + 
       (2*d[31])/3 + d[32]/3 + (2*d[33])/3 - (4*d[34])/3 - (7*d[36])/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     (d[2]/3 - d[5]/6 + d[7] + (5*d[8])/3 - (7*d[9])/3 - (3*d[10])/2 - 
       d[11]/3 - (4*d[12])/3 - (11*d[13])/3 - d[16] + (2*d[19])/3 + 
       (2*d[22])/3 + (4*d[23])/3 - d[28]/3 - (4*d[30])/3)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     ((-3*d[2])/8 + (5*d[5])/8 - d[7]/2 - d[8]/2 + (7*d[9])/6 + 
       (37*d[10])/24 + (2*d[11])/3 + d[12]/2 + (7*d[13])/4 - d[23]/2 - 
       (7*d[24])/16 + d[28]/8 + d[30]/2)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]^2 + (-d[2]/4 + (5*d[4])/12 + (3*d[5])/4 + d[6]/12 + 
       d[7]/4 + d[8]/12 + d[9]/3 + (5*d[10])/6 - (5*d[11])/12 + 
       (7*d[12])/12 - (7*d[13])/6 - d[14]/3 + d[15]/3 + (7*d[16])/6 + 
       d[18]/3 - (7*d[19])/48 - (3*d[20])/2 - (7*d[21])/4 + (3*d[22])/4 - 
       d[23]/2 + (7*d[24])/12 + d[26]/12 - d[27]/3 - d[31]/6 - d[32]/12 - 
       (2*d[33])/3 + (5*d[34])/6 + d[36]/2)*HPL[{1}, 1 - u]^4*
      HPL[{0, 1}, 1 - v] + (d[2] + 2*d[3] - (55*d[4])/36 - (17*d[5])/4 + 
       (47*d[6])/72 + (13*d[7])/48 - (23*d[8])/144 - (275*d[9])/144 - 
       (235*d[10])/72 - (241*d[11])/72 - (43*d[12])/18 + (46*d[13])/9 - 
       (49*d[14])/36 + (19*d[15])/9 - (125*d[16])/72 - (13*d[17])/8 - 
       (73*d[18])/72 - (145*d[19])/72 + (101*d[20])/16 - (11*d[21])/4 - 
       (21*d[22])/8 + (5*d[23])/24 + (4*d[24])/9 + (11*d[26])/72 + 
       (19*d[27])/72 - (14*d[31])/9 - (7*d[32])/9 + (37*d[33])/36 + 
       (19*d[34])/36 - (4*d[36])/3)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v] + (-d[2] - 2*d[3] + (7*d[4])/4 + (21*d[5])/8 - 
       (13*d[6])/8 - (7*d[7])/24 + (19*d[8])/12 + (79*d[9])/72 + 
       (155*d[10])/36 + (121*d[11])/72 + (11*d[12])/8 - (41*d[13])/12 - 
       (75*d[15])/8 - d[16]/8 + (9*d[17])/4 - (5*d[18])/2 + (21*d[19])/2 + 
       (85*d[20])/16 + 8*d[21] + (49*d[22])/4 - (3*d[23])/8 - 
       (207*d[24])/16 - d[27]/8 + d[31] + d[32]/2 - (7*d[33])/4 + 
       (3*d[34])/4 + 3*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v] + (-d[3]/2 - d[4]/6 + (25*d[5])/12 + (11*d[6])/12 - 
       (11*d[7])/4 - (43*d[8])/12 + (25*d[9])/6 - (17*d[10])/12 + 
       (8*d[11])/3 + d[12]/6 - (19*d[13])/12 + (5*d[14])/6 + (11*d[15])/12 + 
       (25*d[16])/12 - (5*d[17])/4 + (11*d[18])/12 - (25*d[19])/12 - 
       d[20]/2 + d[21]/2 - (9*d[22])/4 - (3*d[23])/4 + (43*d[24])/24 - 
       d[26]/12 + d[27]/3 + (2*d[31])/3 + d[32]/3 + d[33]/6 - (5*d[34])/6 - 
       d[36]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v] + 
     (d[7]/2 + d[8]/2 - (7*d[9])/6 - d[10]/6 - (2*d[11])/3 + d[14]/2 + 
       (13*d[20])/8 + (3*d[23])/4 + (3*d[24])/4)*HPL[{1}, 1 - v]^4*
      HPL[{0, 1}, 1 - v] + (d[1]/6 + d[2]/6 - (11*d[4])/18 + (7*d[5])/18 - 
       (8*d[6])/3 + d[7]/4 - d[8] + d[9]/4 - (5*d[10])/2 + (7*d[11])/4 - 
       d[12] - (7*d[13])/6 + d[14]/2 - d[15]/6 + 2*d[16] - (5*d[17])/6 - 
       (9*d[18])/2 - (11*d[19])/18 - (11*d[20])/4 + d[21]/3 - (19*d[22])/18 - 
       (4*d[23])/3 - (41*d[24])/24 + (5*d[26])/12 + (5*d[27])/12 + d[31]/3 + 
       d[32]/6 + d[33]/3 - (2*d[34])/3 - d[36])*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (d[2]/6 + (2*d[3])/3 - 2*d[4] + 8*d[5] + 2*d[6] + 5*d[7] - (37*d[8])/3 + 
       (47*d[9])/18 - (116*d[10])/9 + (40*d[11])/9 - (19*d[12])/6 - 
       (16*d[13])/3 + 4*d[14] - (2*d[15])/3 + 16*d[16] - (8*d[17])/3 - 
       2*d[18] - (17*d[19])/2 - (9*d[20])/8 + 11*d[21] - (71*d[22])/6 + 
       (5*d[23])/3 + (511*d[24])/24 - (5*d[26])/3 + (2*d[27])/3 - d[29]/6 + 
       (5*d[31])/3 + (5*d[32])/6 + (10*d[33])/3 - 5*d[34] - 7*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     ((-4*d[3])/3 + d[4]/3 + (25*d[5])/12 + (5*d[6])/6 + 4*d[7] + 
       (19*d[8])/12 - (43*d[9])/12 - (7*d[10])/2 - d[11]/6 - d[12]/2 - 
       (19*d[13])/6 + (7*d[15])/4 + (9*d[16])/4 - (11*d[17])/12 + 
       (7*d[18])/4 - d[19] - (31*d[20])/12 - 2*d[21] + d[22]/2 - d[23]/3 + 
       (11*d[24])/8 + d[27]/12 + (2*d[31])/3 + d[32]/3 - (3*d[33])/2 + 
       (5*d[34])/6 + 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (d[7]/2 + d[8]/2 + d[9]/6 + d[10]/6 + (2*d[11])/3 - d[14]/2 - 
       (13*d[20])/4 - (3*d[23])/2 - 2*d[24])*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     ((5*d[3])/6 - (2*d[4])/3 - (5*d[5])/12 + (7*d[6])/4 + (17*d[7])/12 - 
       (4*d[8])/3 - (4*d[10])/3 - (11*d[11])/6 + d[12]/12 - d[13]/3 + 
       (5*d[14])/3 + (2*d[15])/3 + (49*d[16])/12 + d[17]/6 + (11*d[18])/2 - 
       (29*d[19])/12 - d[20]/48 + (3*d[21])/2 - (41*d[22])/12 + 
       (31*d[23])/12 + (323*d[24])/48 + d[25]/6 - d[26]/6 - (3*d[27])/4 + 
       d[31]/6 + d[32]/4 + (5*d[33])/6 - d[34] - 3*d[36])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     (-d[2]/18 + (7*d[3])/6 + (5*d[4])/9 - (11*d[5])/12 + d[6]/9 + 
       (31*d[7])/48 + (997*d[8])/144 - (425*d[9])/144 + (229*d[10])/36 - 
       (79*d[11])/72 + (11*d[12])/18 + (89*d[13])/18 - (10*d[14])/9 + 
       (29*d[15])/18 - (76*d[16])/9 + (2*d[17])/3 - (2*d[18])/9 - 
       (47*d[19])/36 + (391*d[20])/48 - (19*d[21])/6 - (11*d[22])/4 + 
       (11*d[23])/8 - (1039*d[24])/72 + (7*d[26])/36 - (29*d[27])/18 - 
       (11*d[31])/9 - (11*d[32])/18 + (13*d[33])/9 - (2*d[34])/9 + d[36]/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((-7*d[5])/4 - (17*d[7])/12 - (17*d[8])/12 + (71*d[9])/36 + 
       (13*d[10])/18 + (5*d[11])/9 + d[13]/6 + (13*d[20])/4 + (3*d[23])/2 + 
       (23*d[24])/12)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v] + ((2*d[2])/9 - d[3]/2 + (2*d[4])/3 - d[5]/2 - 
       (5*d[6])/12 - (17*d[7])/16 + (85*d[8])/48 - (13*d[9])/48 + 
       (13*d[10])/6 + (25*d[11])/72 + (2*d[12])/3 + (4*d[13])/3 - 
       (2*d[14])/3 - (11*d[15])/12 - (31*d[16])/12 + d[17]/2 + (5*d[18])/6 + 
       (25*d[19])/12 - (11*d[20])/48 - d[21]/2 + (9*d[22])/4 - 
       (35*d[23])/24 - (101*d[24])/24 + d[26]/3 + d[27]/6 - d[31]/6 - 
       d[32]/12 - d[33]/6 + d[34]/3 + 2*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     (d[5] - d[7]/12 - d[8]/12 - (11*d[9])/36 - d[10]/18 - (7*d[11])/18 + 
       d[13]/3 - d[14]/2 - (13*d[20])/4 - (3*d[23])/2 - (2*d[24])/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     (d[7]/2 + d[8]/2 - (2*d[9])/3 - (2*d[10])/3 - d[11]/6 - d[13]/2 + 
       d[14]/2 + (13*d[20])/8 + (3*d[23])/4)*HPL[{1}, 1 - w]^4*
      HPL[{0, 1}, 1 - v] + (-d[2] + (9*d[3])/4 - (43*d[4])/36 + (11*d[5])/2 - 
       (2*d[6])/9 + (79*d[7])/12 - (259*d[8])/72 + (65*d[9])/18 - 
       (173*d[10])/36 + (83*d[11])/18 - (7*d[12])/18 - (71*d[13])/9 + 
       (17*d[14])/9 + d[15]/9 + (581*d[16])/36 - (3*d[17])/4 - (35*d[18])/9 - 
       (155*d[19])/36 - (45*d[20])/8 + d[21] - (17*d[22])/6 - (8*d[23])/3 + 
       (1085*d[24])/72 - (35*d[26])/36 - (143*d[27])/72 + d[29]/8 - 
       d[31]/18 + (13*d[32])/18 - (53*d[33])/36 + (23*d[34])/18 - 
       (22*d[36])/3)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((23*d[4])/18 - (23*d[5])/4 - (10*d[6])/9 - 
       (5*d[7])/8 + (223*d[8])/72 - (313*d[9])/72 + (55*d[10])/36 - 
       (185*d[11])/36 + d[12]/18 + (26*d[13])/9 - (37*d[14])/18 + 
       (68*d[15])/9 - (173*d[16])/36 + (3*d[17])/2 + (55*d[18])/18 - 
       (61*d[19])/9 - (11*d[20])/8 - 9*d[21] - (26*d[22])/3 + (77*d[23])/12 + 
       (164*d[24])/9 + (23*d[26])/36 + (4*d[27])/9 + (2*d[31])/9 + d[32]/9 + 
       (17*d[33])/9 - (19*d[34])/9 - d[35]/2 - (2*d[36])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((-53*d[7])/24 - (41*d[8])/24 + (71*d[9])/72 - (97*d[10])/72 + 
       (19*d[11])/36 + (5*d[12])/4 + (8*d[13])/3 + d[14]/2 - (39*d[20])/8 - 
       (7*d[23])/4 - (3*d[24])/8)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + (d[2]/3 - (5*d[3])/3 - d[4] + 12*d[5] + 
       (35*d[6])/6 - (23*d[7])/12 - (71*d[8])/12 + (289*d[9])/36 + 
       (4*d[10])/9 + (215*d[11])/18 - d[12]/2 - 3*d[13] + (8*d[14])/3 + 
       6*d[15] + d[16] - (7*d[17])/6 - (13*d[18])/6 - (20*d[19])/3 - 
       (89*d[20])/12 + (7*d[21])/3 - (14*d[22])/3 + (19*d[23])/6 + 
       (169*d[24])/12 + d[25]/6 - (7*d[26])/3 + (7*d[27])/3 - d[29]/6 + 
       (4*d[31])/3 + (2*d[32])/3 - 2*d[33] + (2*d[34])/3 + d[35]/3 + d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((-5*d[2])/3 + 2*d[5] + (5*d[7])/6 + (35*d[8])/6 - (113*d[9])/18 + 
       (20*d[10])/9 - (7*d[11])/9 + (2*d[12])/3 - d[13] - (4*d[14])/3 - 
       (17*d[16])/3 - (2*d[19])/3 - d[20]/3 + (2*d[21])/3 - (4*d[22])/3 - 
       d[23] - (49*d[24])/6 + d[27] + (2*d[33])/3 - (2*d[34])/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (d[2] - (3*d[5])/2 - d[7]/4 - (11*d[8])/4 + (37*d[9])/12 - (2*d[10])/3 + 
       d[11]/2 - d[12]/6 - (4*d[13])/3 + 2*d[14] + 2*d[16] - d[19]/3 + 
       d[20]/2 - d[21]/3 + (7*d[23])/6 + (19*d[24])/3 - d[27]/6 + d[28]/6 + 
       (2*d[30])/3 - d[33]/3 + d[34]/3)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((-7*d[5])/4 + d[6]/4 - d[7]/2 - 2*d[8] + 2*d[9] - 
       (15*d[10])/4 + (3*d[11])/2 + d[12]/4 - d[15] + (25*d[16])/4 + d[17] - 
       (5*d[18])/2 + (3*d[19])/2 + 3*d[21] - d[22]/2 + (11*d[24])/4 + 
       d[25]/8 + d[27] + 2*d[33] - 2*d[34])*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v] + ((23*d[3])/8 - (65*d[4])/24 + d[5]/2 + 
       (17*d[6])/24 + (13*d[7])/4 - (29*d[8])/12 - (5*d[9])/12 - 
       (13*d[10])/6 + (71*d[11])/24 + (95*d[12])/24 - (19*d[13])/6 + 
       (23*d[14])/12 - (49*d[15])/6 + (211*d[16])/24 + d[17]/8 - 
       (11*d[18])/3 + (95*d[19])/24 - d[20]/16 + (87*d[21])/8 + 
       (11*d[22])/4 - (21*d[23])/8 + (49*d[24])/48 - (5*d[26])/12 + d[27]/6 + 
       d[29]/16 - d[31]/6 - d[32]/3 + (53*d[33])/24 - (23*d[34])/12 - 
       (17*d[36])/2)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^2 + 
     ((17*d[4])/12 - (13*d[5])/8 - (11*d[6])/12 + d[7]/4 + (37*d[8])/12 - 
       (33*d[9])/8 + (15*d[10])/8 - (7*d[11])/2 + (13*d[12])/12 + 
       (7*d[13])/3 - (7*d[14])/3 - (25*d[15])/6 - (67*d[16])/12 + 
       (7*d[17])/4 + (13*d[18])/12 + (19*d[19])/3 + (9*d[20])/4 + 
       (7*d[21])/4 + (25*d[22])/4 - 2*d[23] - (89*d[24])/12 + (5*d[26])/24 - 
       (7*d[27])/12 - d[29]/8 - (2*d[31])/3 - d[32]/3 + d[33]/12 + 
       (7*d[34])/12 + 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]^2 + ((-5*d[7])/8 - (13*d[8])/8 + (55*d[9])/24 + 
       (31*d[10])/24 + (17*d[11])/12 + d[12]/4 + 3*d[13] - (11*d[24])/8 + 
       d[28]/4 - d[30])*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]^2 + 
     (d[2]/2 - (5*d[3])/2 + (5*d[4])/2 - (5*d[5])/3 - (5*d[6])/12 - 
       (25*d[7])/24 + (9*d[8])/8 - (13*d[9])/8 + (23*d[10])/12 - d[11] + 
       d[12]/12 - (2*d[13])/3 + 2*d[15] - (19*d[16])/4 - d[17]/3 + 
       (9*d[18])/2 - (17*d[19])/12 - (23*d[20])/8 - 2*d[21] - (29*d[22])/12 - 
       (2*d[23])/3 - (53*d[24])/24 - d[25]/6 + (5*d[26])/12 + d[27]/3 - 
       d[29]/12 + (4*d[31])/3 + d[32]/3 + d[33] - (7*d[34])/3 + (7*d[36])/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     (d[2]/2 - (9*d[5])/4 + (7*d[8])/4 - (17*d[9])/4 - d[10]/4 - 
       (9*d[11])/4 - d[12]/2 - 5*d[13] + (5*d[16])/4 + d[19] - d[20]/4 - 
       d[21]/2 + (3*d[22])/2 + d[23]/4 + (3*d[24])/2 - d[27]/4 - d[28]/2 + 
       2*d[30] - d[33]/2 + d[34]/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2 + (-d[2]/2 + 2*d[5] + (7*d[7])/8 - d[8]/8 + 
       (35*d[9])/24 + d[10]/12 + (13*d[11])/12 + d[12]/4 + 2*d[13] + 
       d[24]/8 + d[28]/4 - d[30])*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2 + 
     ((-5*d[3])/2 + (5*d[4])/2 - (3*d[5])/4 - (3*d[7])/4 - (33*d[8])/8 - 
       (21*d[10])/4 + (11*d[11])/8 - (3*d[12])/2 + d[13] + d[14]/2 - 
       (5*d[15])/2 + (69*d[16])/8 + (3*d[17])/4 - (9*d[18])/4 + d[19]/8 + 
       (3*d[20])/4 + (11*d[21])/2 - (19*d[22])/8 + (27*d[24])/4 - d[25]/8 + 
       (9*d[27])/8 + (3*d[29])/8 + d[31]/2 + d[32]/4 + (5*d[33])/2 - 
       3*d[34] + d[35]/2 + 6*d[36])*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + 
     (-d[5]/3 - d[6]/3 - d[7]/2 - (5*d[8])/12 + d[9]/3 - (3*d[10])/2 - 
       (3*d[11])/4 + d[15] - d[16] - d[17]/6 + d[18]/6 - (11*d[19])/12 - 
       (5*d[20])/8 - d[21] - (11*d[22])/12 + (3*d[23])/4 + (59*d[24])/24 + 
       d[25]/12 + d[27]/12 - d[29]/12)*HPL[{0, 1}, 1 - v]^3 + 
     (-d[3] + (5*d[4])/4 - d[5]/2 - (3*d[6])/4 - (5*d[7])/8 + (13*d[8])/8 - 
       (7*d[9])/8 + d[10]/2 - (5*d[11])/4 + (3*d[12])/4 + d[13] - d[14] - 
       d[15]/2 - (9*d[16])/4 + d[17]/2 + (3*d[18])/2 + (85*d[19])/48 + 
       (3*d[20])/8 - (7*d[21])/4 + (5*d[22])/2 - (3*d[23])/4 - (9*d[24])/2 + 
       d[26]/4 - d[27]/4 - d[33]/2 + d[34]/2 + 3*d[36])*HPL[{1}, 1 - u]^4*
      HPL[{0, 1}, 1 - w] + (-d[2]/6 + d[3]/3 + (13*d[4])/18 + d[6]/3 - 
       (47*d[7])/36 - (29*d[8])/12 + (31*d[9])/12 + (17*d[10])/12 + 
       (5*d[11])/3 + (4*d[12])/3 - (7*d[13])/6 + d[14]/2 - d[15]/6 + 
       2*d[16] - (5*d[17])/6 - (9*d[18])/2 - (11*d[19])/18 - (11*d[20])/4 + 
       d[21]/3 - (19*d[22])/18 - (4*d[23])/3 - (41*d[24])/24 - d[26]/4 - 
       (5*d[27])/6 + d[31]/3 + d[32]/6 + d[33]/3 - (2*d[34])/3 - d[36])*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((5*d[2])/6 + (3*d[3])/2 - 3*d[4] + (2*d[5])/3 + d[6]/4 + (19*d[7])/4 + 
       (5*d[8])/3 - (7*d[9])/4 - 2*d[10] + (37*d[11])/12 - (5*d[12])/2 - 
       d[13]/3 + (5*d[14])/3 + (2*d[15])/3 + (49*d[16])/12 + d[17]/6 + 
       (11*d[18])/2 - (29*d[19])/12 - d[20]/48 + (3*d[21])/2 - 
       (41*d[22])/12 + (31*d[23])/12 + (323*d[24])/48 + d[26]/6 + d[27]/4 + 
       d[31]/6 + d[32]/4 + (5*d[33])/6 - d[34] - 3*d[36])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     (d[3]/2 - d[4]/6 - d[5]/4 + d[6]/6 + (43*d[7])/48 - (3*d[8])/16 - 
       (13*d[9])/16 - (2*d[10])/9 - (13*d[11])/8 - d[12]/6 - (5*d[13])/6 - 
       d[15]/12 + (5*d[16])/6 - d[18]/3 + d[19]/6 - (101*d[20])/48 - 
       d[21]/2 + d[22]/2 - (29*d[23])/24 + (7*d[24])/8 - d[26]/12 - 
       (5*d[27])/12 - d[31]/3 - d[32]/6 - d[33]/3 + (2*d[34])/3 - d[36]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w] + 
     (d[7]/4 + d[8]/4 + d[9]/12 - d[10]/6 + d[11]/3 - d[13]/2 + d[14]/2 + 
       (13*d[20])/8 + (3*d[23])/4)*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w] + 
     (-d[2]/4 + (5*d[3])/3 - (5*d[4])/6 - (85*d[5])/24 + d[6] - 
       (19*d[7])/48 + (17*d[8])/48 - (59*d[9])/48 - (13*d[10])/8 - 
       (7*d[11])/6 - d[12]/4 + (35*d[13])/6 - (19*d[14])/12 + (11*d[15])/6 - 
       (23*d[16])/8 - (35*d[17])/24 - (5*d[18])/8 - (11*d[19])/8 + 
       (111*d[20])/16 - (11*d[21])/4 - (49*d[22])/24 + d[23]/8 - 
       (5*d[24])/4 + d[26]/3 + d[27]/6 - (3*d[31])/2 - (3*d[32])/4 + 
       (13*d[33])/12 + (5*d[34])/12 - d[36]/2)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (d[2]/3 + (2*d[3])/3 - 4*d[4] + (13*d[5])/3 + (11*d[6])/3 + 
       (11*d[7])/4 - (161*d[8])/12 + (25*d[9])/4 - (67*d[10])/6 + 
       (34*d[11])/3 + d[12] - (16*d[13])/3 + 4*d[14] - (2*d[15])/3 + 
       16*d[16] - (8*d[17])/3 - 2*d[18] - (17*d[19])/2 - (9*d[20])/8 + 
       11*d[21] - (71*d[22])/6 + (5*d[23])/3 + (511*d[24])/24 - (2*d[26])/3 + 
       (5*d[27])/2 - d[29]/6 + (5*d[31])/3 + (5*d[32])/6 + (10*d[33])/3 - 
       5*d[34] - 7*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + (d[2]/3 + (3*d[3])/2 - (11*d[4])/9 - 
       (83*d[5])/12 + (5*d[6])/9 + (25*d[7])/48 + (731*d[8])/144 - 
       (1351*d[9])/144 - (43*d[10])/36 - (287*d[11])/72 - (73*d[12])/36 + 
       (38*d[13])/9 - (8*d[14])/9 + (17*d[15])/9 - (263*d[16])/36 + d[17]/2 - 
       (11*d[18])/18 - (35*d[19])/18 + (361*d[20])/48 - (19*d[21])/6 - 
       (10*d[22])/3 + (35*d[23])/24 - (917*d[24])/72 + (29*d[26])/36 + 
       (7*d[27])/9 - (23*d[31])/18 - (23*d[32])/36 + (25*d[33])/18 - 
       d[34]/9 - (2*d[36])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (-d[7]/12 - d[8]/12 + (13*d[9])/36 + (11*d[10])/18 + (5*d[11])/18 + 
       d[13]/3 - d[14]/2 - (13*d[20])/4 - (3*d[23])/2 - (2*d[24])/3)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (-d[2]/4 - 2*d[3] + 2*d[4] + (11*d[5])/4 - 2*d[6] + d[7]/8 + 2*d[8] - 
       (5*d[9])/8 - (19*d[10])/24 - d[11] - (19*d[12])/8 - (41*d[13])/12 - 
       (75*d[15])/8 - d[16]/8 + (9*d[17])/4 - (5*d[18])/2 + (21*d[19])/2 + 
       (85*d[20])/16 + 8*d[21] + (49*d[22])/4 - (3*d[23])/8 - 
       (207*d[24])/16 - d[26]/8 - (3*d[27])/8 + d[31] + d[32]/2 - 
       (7*d[33])/4 + (3*d[34])/4 + 3*d[36])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     ((7*d[2])/18 - (4*d[3])/3 + (4*d[4])/3 + (13*d[5])/4 + (4*d[6])/3 - 
       (5*d[7])/3 - (13*d[8])/4 + (85*d[9])/12 + (17*d[10])/6 + 
       (11*d[11])/3 + (2*d[12])/3 - (19*d[13])/6 + (7*d[15])/4 + 
       (9*d[16])/4 - (11*d[17])/12 + (7*d[18])/4 - d[19] - (31*d[20])/12 - 
       2*d[21] + d[22]/2 - d[23]/3 + (11*d[24])/8 - d[26]/2 - (3*d[27])/4 + 
       (2*d[31])/3 + d[32]/3 - (3*d[33])/2 + (5*d[34])/6 + 2*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (-d[5]/4 - d[7]/6 - d[8]/6 - (4*d[9])/9 - (4*d[10])/9 - (11*d[11])/18 + 
       d[13]/6 + (13*d[20])/4 + (3*d[23])/2 + (23*d[24])/12)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (-d[2]/12 - d[3]/2 + d[4]/3 + (3*d[5])/4 + (2*d[6])/3 + (9*d[7])/8 - 
       (29*d[8])/24 + (7*d[9])/24 - (11*d[10])/6 + (2*d[11])/3 - 
       (5*d[12])/24 - (19*d[13])/12 + (5*d[14])/6 + (11*d[15])/12 + 
       (25*d[16])/12 - (5*d[17])/4 + (11*d[18])/12 - (25*d[19])/12 - 
       d[20]/2 + d[21]/2 - (9*d[22])/4 - (3*d[23])/4 + (43*d[24])/24 - 
       d[26]/3 - d[27]/6 + (2*d[31])/3 + d[32]/3 + d[33]/6 - (5*d[34])/6 - 
       d[36]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w] + 
     (-d[5]/3 + d[7]/2 + d[8]/2 - (7*d[9])/6 - (2*d[10])/3 - (2*d[11])/3 - 
       d[14]/2 - (13*d[20])/4 - (3*d[23])/2 - 2*d[24])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w] + 
     (-d[7]/2 - d[8]/2 + (7*d[9])/6 + (2*d[10])/3 + (2*d[11])/3 + d[14]/2 + 
       (13*d[20])/8 + (3*d[23])/4 + (3*d[24])/4)*HPL[{1}, 1 - w]^4*
      HPL[{0, 1}, 1 - w] + ((-85*d[3])/12 + (55*d[4])/12 - (35*d[5])/12 - 
       (10*d[6])/3 - (67*d[7])/12 + (35*d[8])/24 - (11*d[9])/4 + 
       (35*d[10])/12 + (3*d[11])/2 + (5*d[12])/3 + 8*d[13] - 3*d[14] - 
       6*d[15] - (107*d[16])/12 + (35*d[17])/12 + (14*d[18])/3 + 
       (39*d[19])/4 + (65*d[20])/8 + d[21] + 10*d[22] - (9*d[23])/2 - 
       (533*d[24])/24 + (7*d[26])/4 + (13*d[27])/8 + d[29]/8 + (7*d[31])/6 + 
       (4*d[32])/3 - d[33]/4 - (7*d[34])/6 + 11*d[36])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-2*d[2])/3 - 4*d[4] + (17*d[5])/2 + (4*d[6])/3 - (35*d[7])/12 - 
       (113*d[8])/12 + (113*d[9])/12 + (4*d[10])/3 + (7*d[11])/6 - 2*d[12] - 
       3*d[13] + (8*d[14])/3 + 6*d[15] + d[16] - (7*d[17])/6 - (13*d[18])/6 - 
       (20*d[19])/3 - (89*d[20])/12 + (7*d[21])/3 - (14*d[22])/3 + 
       (19*d[23])/6 + (169*d[24])/12 - (4*d[26])/3 + (11*d[27])/6 - d[29]/6 + 
       (4*d[31])/3 + (2*d[32])/3 - 2*d[33] + (2*d[34])/3 + d[35]/3 + d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (d[5]/2 + (11*d[7])/12 - (13*d[8])/12 + (5*d[9])/12 - (7*d[10])/3 + 
       d[11]/3 - d[12]/6 - (4*d[13])/3 + 2*d[14] + 2*d[16] - d[19]/3 + 
       d[20]/2 - d[21]/3 + (7*d[23])/6 + (19*d[24])/3 - d[27]/6 + d[28]/6 + 
       (2*d[30])/3 - d[33]/3 + d[34]/3)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + (-d[2] + (22*d[3])/3 - (17*d[4])/2 + 
       (53*d[5])/12 + (13*d[6])/4 + (149*d[7])/24 - (235*d[8])/24 + 
       (173*d[9])/24 - (11*d[10])/2 + (43*d[11])/12 - (25*d[12])/4 - 
       13*d[13] + (17*d[14])/6 + (41*d[15])/3 + (81*d[16])/4 - (13*d[17])/6 - 
       (11*d[18])/2 - (125*d[19])/6 - (121*d[20])/8 - 9*d[21] - 
       (43*d[22])/2 + (33*d[23])/4 + (111*d[24])/2 - (7*d[26])/12 - 
       (2*d[27])/3 - d[31] - d[32]/2 + (2*d[33])/3 + d[34]/3 - d[35]/2 - 
       19*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + ((5*d[2])/3 + (14*d[5])/3 + (10*d[7])/3 + 
       (17*d[8])/3 + (2*d[9])/3 - d[10] + (2*d[12])/3 - d[13] - (4*d[14])/3 - 
       (17*d[16])/3 - (2*d[19])/3 - d[20]/3 + (2*d[21])/3 - (4*d[22])/3 - 
       d[23] - (49*d[24])/6 + d[27]/3 + (2*d[33])/3 - (2*d[34])/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-3*d[2])/2 - (7*d[5])/4 - (27*d[7])/8 - (19*d[8])/8 + (11*d[9])/8 + 
       (35*d[10])/12 - (3*d[11])/4 + (5*d[12])/4 + (8*d[13])/3 + d[14]/2 - 
       (39*d[20])/8 - (7*d[23])/4 - (3*d[24])/8)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (d[2]/4 - (3*d[5])/2 + (5*d[6])/4 + (15*d[7])/4 - d[8]/4 - d[9]/4 - 
       (3*d[10])/4 + d[11]/4 + d[12]/4 - d[15] + (25*d[16])/4 + d[17] - 
       (5*d[18])/2 + (3*d[19])/2 + 3*d[21] - d[22]/2 + (11*d[24])/4 - 
       d[25]/8 - d[27] + 2*d[33] - 2*d[34])*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w] + ((-5*d[3])/3 - 3*d[4] + (20*d[5])/3 + (7*d[6])/6 + 
       (13*d[7])/12 - (41*d[8])/12 + (17*d[9])/4 - 5*d[10] + 6*d[11] - 
       5*d[12] - 9*d[13] + (10*d[14])/3 + (53*d[16])/6 - (25*d[17])/3 + 
       10*d[18] - (23*d[19])/6 - (25*d[20])/6 + (29*d[21])/3 - (5*d[22])/2 + 
       (7*d[23])/3 + (33*d[24])/4 - (4*d[26])/3 + d[27]/2 + d[29]/6 + 
       (5*d[31])/3 - d[32]/2 - 2*d[33] + (2*d[34])/3 + d[36])*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((8*d[3])/3 - (53*d[4])/9 + (41*d[5])/6 + (29*d[6])/9 + (41*d[7])/24 - 
       (317*d[8])/72 - (191*d[9])/72 - (53*d[10])/18 + (191*d[11])/36 - 
       (29*d[12])/18 - (73*d[13])/9 + (34*d[14])/9 + (32*d[15])/9 + 
       (167*d[16])/18 - (5*d[17])/2 - (119*d[18])/18 - (155*d[19])/18 - 
       (33*d[20])/8 + 4*d[21] - (53*d[22])/6 + (29*d[23])/12 + 
       (103*d[24])/18 - (23*d[26])/18 - (5*d[27])/9 + d[29]/6 + (2*d[31])/9 + 
       d[32]/9 + (2*d[33])/9 - (4*d[34])/9 - (26*d[36])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((17*d[7])/12 + (41*d[8])/12 - (95*d[9])/36 - (149*d[10])/36 - 
       (31*d[11])/18 - d[12]/2 + (7*d[13])/3 - (89*d[24])/12 + d[28]/2 - 
       2*d[30])*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (d[2] - (14*d[3])/3 + (41*d[4])/9 - (22*d[5])/3 - (14*d[6])/9 - 
       (121*d[7])/24 + (773*d[8])/72 - (181*d[9])/72 + (95*d[10])/18 - 
       (23*d[11])/36 + (7*d[12])/9 + (70*d[13])/9 - (10*d[14])/9 - 
       (23*d[15])/9 - (142*d[16])/9 + (7*d[17])/6 + (35*d[18])/18 + 
       (49*d[19])/9 + (77*d[20])/8 + 4*d[21] + 4*d[22] + (7*d[23])/12 - 
       (284*d[24])/9 + d[25]/6 + (5*d[26])/18 + (17*d[27])/9 + d[29]/6 + 
       (13*d[31])/9 + (13*d[32])/18 + (13*d[33])/9 - (26*d[34])/9 + 
       (29*d[36])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + (-d[2] - d[5]/2 - (5*d[7])/6 - (25*d[8])/3 + 
       (28*d[9])/9 - (7*d[10])/18 + (5*d[11])/18 + d[12] - (14*d[13])/3 + 
       9*d[16] - 3*d[19] + d[20]/2 - d[21] - 2*d[22] - d[23]/2 + 
       (64*d[24])/3 - d[27]/2 - d[28] + 4*d[30] - d[33] + d[34])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (d[2] + (7*d[5])/2 - d[7]/12 + (23*d[8])/12 - (17*d[9])/36 - 
       (31*d[10])/18 + (35*d[11])/18 - d[12]/2 + (7*d[13])/3 - 
       (89*d[24])/12 + d[28]/2 - 2*d[30])*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-4*d[3])/3 + (4*d[4])/3 - (4*d[6])/3 - (2*d[7])/3 - 2*d[8] + 2*d[9] - 
       d[10] - (5*d[11])/3 + (4*d[12])/3 + (4*d[13])/3 + (4*d[14])/3 + 
       (16*d[15])/3 + (26*d[16])/3 - (4*d[17])/3 + (8*d[18])/3 - 
       (20*d[19])/3 - (23*d[20])/6 - 8*d[21] - (16*d[22])/3 + (5*d[23])/3 + 
       (49*d[24])/6 + d[25]/3 - (2*d[27])/3 + (2*d[29])/3 + (4*d[31])/3 + 
       (2*d[32])/3 - (4*d[33])/3)*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((41*d[5])/4 + (9*d[7])/2 + (49*d[8])/4 + 5*d[9] + 
       14*d[10] + (21*d[11])/4 - d[15] - (67*d[16])/4 + d[17] - d[18] + 
       (13*d[19])/4 + (5*d[20])/8 + d[21] + (13*d[22])/4 - (3*d[23])/4 - 
       (247*d[24])/8 - d[25]/4 - (9*d[27])/4 - d[29]/4)*HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w] + ((7*d[3])/8 - (25*d[4])/24 - (9*d[5])/4 - 
       (25*d[6])/12 + (5*d[7])/8 - (11*d[8])/24 - (35*d[9])/24 - 
       (4*d[10])/3 + (43*d[11])/24 - (7*d[12])/12 + (7*d[13])/6 + 
       (7*d[14])/12 - (59*d[15])/6 + (47*d[16])/24 + (9*d[17])/8 - 
       (4*d[18])/3 + (187*d[19])/24 + (59*d[20])/16 + (87*d[21])/8 + 
       (25*d[22])/4 - (25*d[23])/8 - (439*d[24])/48 + d[26]/6 + d[27]/3 + 
       d[29]/16 + d[31]/6 - d[32]/6 + (61*d[33])/24 - (31*d[34])/12 - 
       (7*d[36])/2)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]^2 + 
     (-d[3]/2 + (2*d[4])/3 + (3*d[5])/2 + (5*d[6])/3 + (37*d[7])/24 - 
       (11*d[8])/8 - (17*d[9])/24 - (7*d[10])/12 + (2*d[11])/3 + d[12]/12 - 
       5*d[13] + (4*d[14])/3 + (11*d[15])/3 + (25*d[16])/12 - (4*d[17])/3 + 
       (13*d[18])/6 - (21*d[19])/4 - (53*d[20])/8 - 2*d[21] - (71*d[22])/12 - 
       d[23]/6 + (191*d[24])/24 - d[26]/3 - (5*d[27])/12 - d[29]/12 + d[31] + 
       d[32]/6 + (2*d[33])/3 - (5*d[34])/3 - (3*d[36])/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     ((7*d[7])/8 - d[8]/8 + d[9]/8 + d[10]/8 - d[11]/4 + d[12]/4 + 2*d[13] + 
       d[24]/8 + d[28]/4 - d[30])*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2 + 
     (d[2]/2 + (5*d[4])/12 - (13*d[5])/8 - (31*d[6])/24 - (3*d[7])/8 + 
       (83*d[8])/24 - (9*d[9])/4 + (7*d[10])/2 - (5*d[11])/2 + 
       (23*d[12])/24 + (7*d[13])/3 - (7*d[14])/3 - (25*d[15])/6 - 
       (67*d[16])/12 + (7*d[17])/4 + (13*d[18])/12 + (19*d[19])/3 + 
       (9*d[20])/4 + (7*d[21])/4 + (25*d[22])/4 - 2*d[23] - (89*d[24])/12 + 
       (17*d[26])/24 + d[27]/6 - d[29]/8 - (2*d[31])/3 - d[32]/3 + d[33]/12 + 
       (7*d[34])/12 + 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2 + (d[2]/2 + (3*d[5])/4 - (5*d[7])/2 - d[8]/4 - 
       (25*d[9])/12 + (5*d[10])/3 + (17*d[11])/12 - d[12]/2 - 5*d[13] + 
       (5*d[16])/4 + d[19] - d[20]/4 - d[21]/2 + (3*d[22])/2 + d[23]/4 + 
       (3*d[24])/2 - d[27]/4 - d[28]/2 + 2*d[30] - d[33]/2 + d[34]/2)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2 + 
     (-d[2]/2 + (7*d[5])/4 + (11*d[7])/8 + (3*d[8])/8 - (25*d[9])/24 - 
       (11*d[10])/12 - (11*d[11])/12 + d[12]/4 + 3*d[13] - (11*d[24])/8 + 
       d[28]/4 - d[30])*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2 + 
     ((-5*d[3])/2 + (5*d[4])/2 - (13*d[5])/8 - d[6]/2 + (9*d[7])/8 - 5*d[8] - 
       (3*d[9])/4 - 4*d[10] - (13*d[11])/8 - (3*d[12])/2 + d[13] + d[14]/2 - 
       (5*d[15])/2 + (69*d[16])/8 + (3*d[17])/4 - (9*d[18])/4 + d[19]/8 + 
       (3*d[20])/4 + (11*d[21])/2 - (19*d[22])/8 + (27*d[24])/4 - d[25]/8 + 
       d[27]/8 + (3*d[29])/8 + d[31]/2 + d[32]/4 + (5*d[33])/2 - 3*d[34] + 
       d[35]/2 + 6*d[36])*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2 + 
     ((-19*d[5])/4 + 2*d[6] + (25*d[7])/4 + 12*d[8] + (3*d[9])/2 + 5*d[10] + 
       (7*d[11])/4 - d[15] - (67*d[16])/4 + d[17] - d[18] + (13*d[19])/4 + 
       (5*d[20])/8 + d[21] + (13*d[22])/4 - (3*d[23])/4 - (247*d[24])/8 + 
       d[25]/4 + d[27]/4 - d[29]/4)*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     ((11*d[5])/12 - (7*d[7])/12 - d[8]/2 + (5*d[9])/6 + (5*d[10])/6 - 
       d[11]/12 + d[15] - d[16] - d[17]/6 + d[18]/6 - (11*d[19])/12 - 
       (5*d[20])/8 - d[21] - (11*d[22])/12 + (3*d[23])/4 + (59*d[24])/24 - 
       d[25]/12 - d[27]/12 - d[29]/12)*HPL[{0, 1}, 1 - w]^3 + 
     (4*d[3] - (20*d[4])/3 - d[5] + (8*d[6])/3 + (3*d[7])/2 - (41*d[8])/6 + 
       (13*d[9])/6 - (16*d[10])/3 + (20*d[11])/3 - (13*d[12])/3 + 
       (2*d[13])/3 + (16*d[14])/3 + (2*d[15])/3 + (13*d[16])/3 - 2*d[17] - 
       (22*d[18])/3 - (19*d[19])/3 + (9*d[20])/2 + 12*d[21] - 11*d[22] + 
       5*d[23] + (47*d[24])/3 - (4*d[26])/3 + (7*d[27])/3 + (2*d[31])/3 + 
       d[32]/3 + (14*d[33])/3 - (16*d[34])/3 - 14*d[36])*HPL[{1}, 1 - u]^3*
      HPL[{0, 0, 1}, 1 - u] + (-3*d[3] + (8*d[4])/3 - d[5]/2 + d[6]/3 - 
       d[7] + (19*d[8])/3 - (11*d[9])/6 - (29*d[10])/6 + (35*d[11])/12 + 
       d[12]/3 + (4*d[13])/3 + (2*d[14])/3 + (17*d[15])/6 - (79*d[16])/12 - 
       (5*d[17])/4 + (43*d[18])/12 - (13*d[19])/6 + (7*d[20])/4 - 4*d[21] - 
       d[22]/2 + d[23]/2 - (23*d[24])/3 - d[26]/6 + (2*d[27])/3 + 
       (4*d[31])/3 + (2*d[32])/3 - (5*d[33])/3 + d[34]/3 + 5*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (-d[2] + (5*d[4])/18 - (13*d[6])/36 + (25*d[7])/24 + (325*d[8])/72 - 
       (461*d[9])/72 + (95*d[10])/36 - (91*d[11])/36 - (25*d[12])/36 + 
       (14*d[13])/9 - (5*d[14])/9 - (13*d[15])/9 - (73*d[16])/18 + 
       (5*d[17])/4 - (25*d[18])/36 + (125*d[19])/36 - (3*d[20])/8 + 
       (3*d[21])/2 + (31*d[22])/12 + (11*d[23])/12 - (34*d[24])/9 + 
       (5*d[26])/36 + (7*d[27])/36 - d[28]/4 - d[30] - (5*d[31])/18 - 
       (5*d[32])/36 + (25*d[33])/18 - (11*d[34])/18 + (5*d[36])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((-7*d[7])/12 - (7*d[8])/12 + (31*d[9])/36 + (5*d[10])/18 + 
       (5*d[11])/18 + (2*d[13])/3 - d[24]/2)*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - u] + (-d[2] + d[3] - (8*d[4])/3 + (3*d[5])/2 + 
       (19*d[6])/6 - (3*d[7])/2 - (53*d[8])/6 + (19*d[9])/3 + (4*d[10])/3 + 
       (11*d[11])/6 - (4*d[12])/3 - (22*d[13])/3 + (10*d[14])/3 + 
       (37*d[15])/6 + (85*d[16])/12 - (13*d[17])/4 - (13*d[18])/12 - 
       (59*d[19])/6 - (23*d[20])/4 - 4*d[21] - (15*d[22])/2 + (3*d[23])/2 + 
       (38*d[24])/3 - (5*d[26])/6 + d[27]/3 + (2*d[31])/3 + d[32]/3 - 
       (7*d[33])/3 + (5*d[34])/3 - 5*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + ((4*d[2])/3 - (4*d[4])/3 - (8*d[5])/3 + 
       (10*d[6])/3 + (31*d[7])/6 - (15*d[8])/2 + (19*d[9])/2 - (50*d[10])/3 + 
       (25*d[11])/3 + (5*d[12])/3 - (16*d[13])/3 + (8*d[14])/3 + 
       (16*d[15])/3 + (52*d[16])/3 - 4*d[17] + (4*d[18])/3 - 12*d[19] - 
       d[20]/6 - (34*d[22])/3 - (7*d[23])/3 + (37*d[24])/3 - (2*d[26])/3 - 
       (2*d[27])/3 + (2*d[28])/3 + (8*d[30])/3 + (4*d[31])/3 + (2*d[32])/3 + 
       (4*d[33])/3 - (8*d[34])/3 - 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (-d[5]/3 + (31*d[7])/12 + (31*d[8])/12 - (151*d[9])/36 - (29*d[10])/18 - 
       (29*d[11])/18 - (5*d[13])/6 + (2*d[24])/3)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (d[1] - (5*d[3])/3 + (5*d[4])/2 - (23*d[5])/6 - (9*d[6])/4 - 
       (8*d[7])/3 + (43*d[8])/12 - (41*d[9])/12 + (95*d[10])/12 - 
       (53*d[11])/12 + (31*d[13])/6 - (5*d[14])/3 - (17*d[15])/6 - 
       (39*d[16])/4 + (25*d[17])/12 + (5*d[18])/4 + (20*d[19])/3 + 
       (11*d[20])/4 + (3*d[21])/2 + (11*d[22])/2 + d[23]/2 - (49*d[24])/4 + 
       (5*d[26])/12 + d[27]/12 - d[28]/4 - d[30] + (5*d[33])/3 - 
       (7*d[34])/6 + 5*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u] + ((-11*d[5])/3 - (13*d[7])/4 - (13*d[8])/4 + 
       (55*d[9])/12 + (13*d[10])/6 + (4*d[11])/3 - (5*d[13])/6 + (2*d[24])/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((3*d[5])/2 + (5*d[7])/4 + (5*d[8])/4 - (5*d[9])/4 - (5*d[10])/6 + 
       (2*d[13])/3 - d[24]/2)*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u] + 
     (-4*d[3] + (4*d[4])/3 + 7*d[5] + (14*d[6])/3 + d[7]/2 - (17*d[8])/6 + 
       (19*d[9])/6 - (16*d[10])/3 + (26*d[11])/3 - d[12]/3 - (34*d[13])/3 + 
       (16*d[14])/3 + (14*d[15])/3 + (13*d[16])/3 - 4*d[17] + (8*d[18])/3 - 
       (25*d[19])/3 - (13*d[20])/2 + 4*d[21] - 9*d[22] - d[23] - 
       (7*d[24])/3 - (4*d[26])/3 + (4*d[27])/3 + (14*d[31])/3 + (7*d[32])/3 + 
       (2*d[33])/3 - (16*d[34])/3 - 2*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (-d[2] + d[5] + d[7] + d[8] - (23*d[9])/3 - (11*d[10])/3 - (14*d[11])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (d[2] - d[5] - d[7] - d[8] + (23*d[9])/3 + (11*d[10])/3 + (14*d[11])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (-2*d[2] + 3*d[3] - (34*d[4])/9 + 5*d[5] + (11*d[6])/18 + (11*d[7])/6 - 
       (79*d[8])/18 - (37*d[9])/18 + (41*d[10])/18 - d[11]/18 - 
       (14*d[12])/9 - (41*d[13])/9 + (14*d[14])/9 + (31*d[15])/9 + 
       (50*d[16])/9 - 4*d[17] + (40*d[18])/9 - (38*d[19])/9 - (11*d[20])/2 - 
       2*d[21] - (10*d[22])/3 + (4*d[23])/3 + (61*d[24])/9 - (7*d[26])/18 - 
       (4*d[27])/9 + d[29]/2 - (2*d[31])/9 - d[32]/9 - (8*d[33])/9 + 
       (10*d[34])/9 + d[35]/2 - (25*d[36])/3)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (-d[2] + 5*d[5] - d[7]/6 - d[8]/6 - (29*d[9])/18 + (2*d[10])/9 + 
       (2*d[11])/9 + (4*d[13])/3 + 3*d[24])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((4*d[2])/3 - 6*d[5] + d[7]/2 + d[8]/2 + (41*d[9])/18 - (5*d[10])/9 + 
       (25*d[11])/9 - (5*d[13])/3 + (8*d[16])/3 + (4*d[24])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (-2*d[2] - d[3]/3 - (4*d[4])/3 + (11*d[5])/6 - (13*d[6])/6 - d[7]/12 + 
       (35*d[8])/4 - (13*d[9])/12 + (10*d[10])/3 + (5*d[11])/3 - d[12]/6 + 
       (8*d[13])/3 - (2*d[14])/3 + (2*d[15])/3 - (35*d[16])/6 - (7*d[17])/3 + 
       (25*d[18])/3 + (13*d[19])/6 + (3*d[20])/4 - 2*d[21] + (5*d[22])/2 + 
       d[23]/2 - (61*d[24])/6 + d[26]/6 - d[27]/6 + d[29]/2 + d[31]/3 + 
       d[32]/6 - d[33]/3 + d[35]/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + ((-4*d[2])/3 + (8*d[5])/3 - d[7]/2 - 
       (11*d[8])/6 - (25*d[9])/6 + (5*d[10])/3 - (2*d[11])/3 - (5*d[13])/3 + 
       (8*d[16])/3 + (4*d[24])/3)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + (-d[2] - 2*d[5] + (3*d[7])/2 + (3*d[8])/2 + 
       (17*d[9])/6 - (4*d[10])/3 + d[11]/3 + (4*d[13])/3 + 3*d[24])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((13*d[4])/18 - (5*d[5])/2 - (223*d[6])/72 - (65*d[7])/48 + 
       (265*d[8])/144 - (245*d[9])/144 + (239*d[10])/72 - (95*d[11])/36 - 
       (41*d[12])/36 + (65*d[13])/18 - (10*d[14])/9 - (55*d[15])/72 - 
       (65*d[16])/18 - d[17]/2 + (47*d[18])/18 + (191*d[19])/72 + 
       (3*d[20])/16 - (17*d[21])/4 + (19*d[22])/8 - d[23]/24 - 
       (173*d[24])/36 + (119*d[26])/72 + (5*d[27])/36 - (5*d[31])/9 - 
       (5*d[32])/18 + (5*d[33])/18 + (5*d[34])/18 + (5*d[36])/3)*
      HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - v] + 
     (-d[2] + d[3] - 3*d[4] + (13*d[5])/2 + (7*d[6])/2 + (19*d[7])/12 - 
       (71*d[8])/12 + (197*d[9])/36 - (151*d[10])/36 + (41*d[11])/9 - 
       (9*d[12])/2 - (49*d[13])/6 + 3*d[14] + d[15]/2 + 10*d[16] - 4*d[17] - 
       d[18] - (7*d[19])/2 - (7*d[20])/2 + (9*d[21])/2 - (9*d[22])/2 - 
       3*d[23] - (3*d[24])/4 - d[26]/2 - d[27]/2 + d[31] + d[32]/2 - 
       d[34]/2 - 6*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + (-2*d[3] - (2*d[4])/3 + (13*d[5])/2 + 
       (11*d[6])/3 + (9*d[7])/4 - d[8]/12 + (35*d[9])/12 - (85*d[10])/12 + 
       (125*d[11])/12 + (17*d[12])/12 - (31*d[13])/3 + (31*d[14])/12 + 
       (77*d[15])/12 + (91*d[16])/12 - (9*d[17])/2 + d[18]/6 - 
       (133*d[19])/12 - 3*d[20] - 2*d[21] - (45*d[22])/4 + (13*d[24])/6 - 
       d[26]/12 + (4*d[27])/3 + (8*d[31])/3 + (4*d[32])/3 + d[33]/6 - 
       (17*d[34])/6 - d[35]/4 - 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - v] + ((3*d[7])/2 + (11*d[8])/2 - (49*d[9])/6 - 
       4*d[10] - (11*d[11])/3 + d[12] - (13*d[20])/4 - (3*d[23])/2 - 
       (37*d[24])/6)*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v] + 
     (-d[3]/3 - d[4]/3 + (5*d[5])/3 + (14*d[6])/3 + (35*d[7])/12 - 
       (7*d[8])/4 - (17*d[9])/36 - (115*d[10])/18 + (23*d[11])/18 + 
       (3*d[12])/2 - (7*d[13])/2 + 4*d[14] + (29*d[15])/6 + 3*d[16] - 
       (2*d[17])/3 - (5*d[18])/2 - (47*d[19])/6 + (37*d[20])/12 + 
       (11*d[21])/6 - (17*d[22])/2 + (5*d[23])/2 + (15*d[24])/2 - 2*d[26] + 
       (2*d[27])/3 + (4*d[31])/3 + d[32]/3 + (4*d[33])/3 - 3*d[34] - 4*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((-4*d[2])/3 - (10*d[3])/3 + 2*d[4] + 7*d[5] + d[6]/3 - (4*d[7])/3 + 
       (26*d[8])/3 - (19*d[9])/3 + (10*d[10])/3 + (10*d[11])/3 + 
       (7*d[12])/3 + (16*d[13])/3 + 2*d[14] + d[15] - (41*d[16])/3 - 
       d[17]/3 + (19*d[18])/3 + 3*d[20] + (8*d[21])/3 - (2*d[22])/3 - 
       (2*d[23])/3 - (55*d[24])/6 + d[25]/3 - (2*d[26])/3 + (4*d[27])/3 + 
       (4*d[31])/3 + (2*d[32])/3 + (2*d[33])/3 - 2*d[34] + d[35]/3 + 6*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (-2*d[2] - 5*d[5] - 3*d[7] - 14*d[8] + (29*d[9])/3 + (2*d[10])/3 + 
       (19*d[11])/6 + 2*d[13] + (13*d[16])/2 - 4*d[19] + (15*d[20])/4 - 
       4*d[22] + d[23] + 29*d[24] + d[27])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + ((4*d[2])/3 + (5*d[3])/6 - (5*d[4])/18 - 
       (17*d[5])/12 - (7*d[6])/18 - (77*d[7])/48 - (491*d[8])/144 + 
       (523*d[9])/144 + (25*d[10])/9 - (133*d[11])/72 - (26*d[12])/9 - 
       (31*d[13])/18 - (19*d[14])/9 + (4*d[15])/9 + (55*d[16])/18 + 
       d[17]/12 + (61*d[18])/36 - d[19]/18 - (19*d[20])/16 - (19*d[21])/6 + 
       d[22]/2 + d[23]/24 + (97*d[24])/36 - d[25]/4 + (25*d[26])/36 - 
       (25*d[27])/36 - (5*d[31])/9 - (5*d[32])/18 - (5*d[33])/9 + 
       (10*d[34])/9 - (5*d[36])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - v] + (2*d[1] + 4*d[2] + (5*d[5])/2 + (13*d[7])/12 + 
       (67*d[8])/12 - (55*d[9])/36 + (2*d[10])/9 + d[11]/18 - 3*d[12] - 
       (17*d[13])/6 - (7*d[16])/2 + 2*d[19] + (11*d[20])/4 + 2*d[22] + 
       2*d[23] - (163*d[24])/12 - d[27]/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - v] + (-d[1]/3 - 2*d[2] + (5*d[7])/12 + (5*d[8])/12 - 
       (35*d[9])/36 + (5*d[10])/18 - (5*d[11])/9 + 2*d[12] + (5*d[13])/6 - 
       (13*d[20])/4 - (3*d[23])/2 + d[24]/12)*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - v] + (d[3] - (2*d[4])/9 - 2*d[5] - d[6]/9 - 
       (41*d[7])/24 + (145*d[8])/72 - (473*d[9])/72 + (269*d[10])/36 - 
       (583*d[11])/36 + (55*d[12])/18 + (41*d[13])/9 + (35*d[14])/18 - 
       (13*d[15])/9 - (317*d[16])/36 + 2*d[17] + (5*d[18])/9 + 
       (179*d[19])/36 + (29*d[20])/8 + (37*d[22])/12 - (7*d[23])/12 - 
       (295*d[24])/9 - (19*d[26])/9 + (17*d[27])/18 + d[29]/4 + (2*d[31])/9 - 
       (25*d[32])/18 + (17*d[33])/9 - (19*d[34])/9 - d[35]/2 - (11*d[36])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (-2*d[2] + d[3] - d[4] - (11*d[7])/6 - (11*d[8])/6 + (65*d[9])/18 + 
       (23*d[10])/18 - (29*d[11])/9 + d[12] + (5*d[13])/3 + 2*d[15] - 
       2*d[19] - (5*d[20])/4 - 2*d[21] - 2*d[22] + d[23]/2 + (13*d[24])/4 + 
       d[25]/2 - d[35]/2 - 3*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v] + ((4*d[2])/3 - (2*d[3])/3 + (2*d[4])/3 + 
       (4*d[5])/3 + (2*d[6])/3 + (13*d[7])/6 + (13*d[8])/6 - (83*d[9])/18 - 
       (7*d[10])/9 + (38*d[11])/9 - (4*d[12])/3 - (5*d[13])/3 - (2*d[14])/3 - 
       (8*d[15])/3 - (4*d[16])/3 + (2*d[17])/3 - (4*d[18])/3 + (8*d[19])/3 + 
       (23*d[20])/12 + (8*d[21])/3 + (8*d[22])/3 - d[23]/6 - (55*d[24])/12 - 
       (2*d[25])/3 - d[29]/3 + d[35]/3 + 2*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (-4*d[3] + (13*d[4])/3 + (11*d[5])/2 + (31*d[6])/6 + 2*d[7] - d[8]/3 - 
       (23*d[9])/6 - (31*d[10])/3 + (37*d[11])/6 + (8*d[12])/3 - 
       (34*d[13])/3 + (23*d[14])/6 - d[15]/3 + (41*d[16])/6 - 6*d[17] + 
       (26*d[18])/3 - (19*d[19])/3 - (5*d[20])/2 + 11*d[21] - 3*d[22] - 
       4*d[23] - (46*d[24])/3 - (17*d[26])/6 + (4*d[27])/3 + (14*d[31])/3 + 
       (7*d[32])/3 + (11*d[33])/3 - (25*d[34])/3 - d[35]/2 - 2*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (-2*d[3] + 2*d[4] + (4*d[9])/3 - (23*d[10])/3 - (38*d[11])/3 - 2*d[12] - 
       2*d[15] + 2*d[19] + (5*d[20])/4 + 2*d[21] + 2*d[22] - (7*d[23])/2 - 
       (7*d[24])/4 + d[25] - d[35] + 6*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (2*d[3] - 2*d[4] - (4*d[9])/3 + (23*d[10])/3 + (38*d[11])/3 + 2*d[12] + 
       2*d[15] - 2*d[19] - (5*d[20])/4 - 2*d[21] - 2*d[22] + (7*d[23])/2 + 
       (7*d[24])/4 - d[25] + d[35] - 6*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((2*d[2])/3 - d[3]/3 - (11*d[4])/9 + d[5]/6 + (5*d[6])/9 - (3*d[7])/8 - 
       (335*d[8])/72 + (367*d[9])/72 - (34*d[10])/9 + (23*d[11])/36 - 
       (28*d[12])/9 - (55*d[13])/9 - (14*d[14])/9 + (7*d[15])/18 + 
       (76*d[16])/9 - (14*d[17])/3 + (20*d[18])/9 - (13*d[19])/9 + 
       (25*d[20])/24 + (10*d[21])/3 - d[22]/3 + (11*d[23])/12 + 
       (173*d[24])/36 - d[25]/2 - (23*d[26])/18 - (13*d[27])/18 + d[29]/6 + 
       (2*d[31])/9 + (4*d[32])/9 - (16*d[33])/9 + (20*d[34])/9 + d[36]/3)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (2*d[2] + 2*d[3] - 2*d[4] - (5*d[7])/6 - (5*d[8])/6 - (61*d[9])/18 - 
       (8*d[10])/9 - (20*d[11])/9 + 2*d[12] - (5*d[13])/3 + 2*d[15] - 
       2*d[19] - (5*d[20])/4 - 2*d[21] - 2*d[22] + (7*d[23])/2 - 
       (17*d[24])/12 + d[25] - d[35] - 6*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (-2*d[2] - 2*d[3] + 2*d[4] + (5*d[7])/6 + (5*d[8])/6 + (61*d[9])/18 + 
       (8*d[10])/9 + (20*d[11])/9 - 2*d[12] + (5*d[13])/3 - 2*d[15] + 
       2*d[19] + (5*d[20])/4 + 2*d[21] + 2*d[22] - (7*d[23])/2 + 
       (17*d[24])/12 - d[25] + d[35] + 6*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (5*d[5] - d[7] - (3*d[8])/2 + (7*d[9])/2 - (7*d[10])/2 + 3*d[11] + 
       4*d[16] - d[19] - d[22] + (23*d[24])/2 + (3*d[27])/2)*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (d[1] + 2*d[3] - 2*d[4] + d[5] + 3*d[7] - 2*d[8] + 7*d[9] - 2*d[11] - 
       d[16]/2 + 2*d[19] + d[21] - 5*d[22] + d[24]/2 - d[34])*
      HPL[{0, 0, 1}, 1 - v]^2 + ((23*d[3])/12 + (11*d[4])/12 - (25*d[5])/24 + 
       (13*d[6])/6 + (143*d[7])/48 + (103*d[8])/48 - (31*d[9])/16 + 
       (31*d[10])/24 - (33*d[11])/8 + (13*d[12])/6 + (5*d[15])/8 + 
       (25*d[16])/12 - (4*d[17])/3 + (2*d[18])/3 - (13*d[19])/24 - 
       (47*d[20])/16 - (17*d[21])/4 - (13*d[22])/24 + (3*d[23])/8 + 
       (11*d[24])/3 - (5*d[27])/4 - (5*d[31])/6 - (5*d[32])/12 + 
       (5*d[34])/6 - (5*d[36])/2)*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - w] + 
     ((-5*d[3])/3 - (7*d[4])/3 + (19*d[5])/6 + d[6]/2 - (5*d[7])/6 - 
       (31*d[8])/6 + (9*d[9])/2 - (15*d[10])/2 + 5*d[11] - (10*d[12])/3 - 
       (7*d[13])/2 + 4*d[14] + (29*d[15])/6 + 3*d[16] - (2*d[17])/3 - 
       (5*d[18])/2 - (47*d[19])/6 + (37*d[20])/12 + (11*d[21])/6 - 
       (17*d[22])/2 + (5*d[23])/2 + (15*d[24])/2 - (2*d[26])/3 + 2*d[27] + 
       (4*d[31])/3 + d[32]/3 + (4*d[33])/3 - 3*d[34] - 4*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     ((-5*d[3])/6 + (25*d[4])/9 - (13*d[5])/6 + (17*d[6])/36 + (23*d[7])/16 + 
       (815*d[8])/144 - (751*d[9])/144 - (17*d[10])/18 - (371*d[11])/72 - 
       (37*d[12])/36 + (17*d[13])/9 - (29*d[14])/9 - (17*d[15])/18 - 
       (95*d[16])/36 + (11*d[17])/12 + (131*d[18])/36 + (113*d[19])/36 + 
       (31*d[20])/16 - (19*d[21])/6 + (41*d[22])/12 - (3*d[23])/8 - 
       (52*d[24])/9 + (5*d[26])/9 - (8*d[27])/9 - (5*d[31])/18 - 
       (5*d[32])/36 - (5*d[33])/18 + (5*d[34])/9 + (10*d[36])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w] + 
     (d[7]/6 + d[8]/6 + d[9]/9 + (10*d[10])/9 + (41*d[11])/18 + 2*d[12] + 
       (5*d[13])/6 - (13*d[20])/4 - (3*d[23])/2 + d[24]/12)*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - w] + (d[1]/2 - (5*d[3])/2 + (11*d[4])/6 + 
       (5*d[5])/2 + (13*d[6])/6 - d[7]/2 + (47*d[8])/12 - (13*d[9])/6 + 
       (7*d[10])/6 + (23*d[11])/6 + (11*d[12])/3 + d[13]/2 + d[14]/3 - 
       (17*d[15])/6 - (11*d[16])/3 - 2*d[17] + (11*d[18])/3 + (25*d[19])/6 + 
       4*d[20] + (9*d[21])/2 + (5*d[22])/2 - 4*d[23] - (253*d[24])/12 + 
       d[26]/6 + (7*d[27])/12 + (5*d[31])/3 + (5*d[32])/6 + (2*d[33])/3 - 
       (11*d[34])/6 + 4*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + ((2*d[3])/3 - (10*d[4])/3 + 4*d[5] + 
       (13*d[6])/3 - (11*d[7])/6 - (49*d[8])/6 + (13*d[9])/2 + (2*d[10])/3 + 
       (7*d[11])/3 - (10*d[13])/3 + (14*d[14])/3 + (13*d[15])/3 - 
       (7*d[17])/3 + (5*d[18])/3 - (23*d[19])/3 - (9*d[20])/2 + (8*d[21])/3 - 
       (23*d[22])/3 + d[23]/3 + (67*d[24])/6 - (4*d[26])/3 + (11*d[27])/3 + 
       (2*d[31])/3 + d[32]/3 - (2*d[34])/3 + d[35]/3 - 4*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (d[1] + (3*d[5])/2 + (4*d[7])/3 + (47*d[8])/6 - (89*d[9])/18 + 
       d[10]/18 - (29*d[11])/18 - 3*d[12] - (17*d[13])/6 - (7*d[16])/2 + 
       2*d[19] + (11*d[20])/4 + 2*d[22] + 2*d[23] - (163*d[24])/12 - d[27]/2)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (-2*d[3] + (11*d[4])/6 + (7*d[5])/4 + (5*d[6])/3 + (7*d[7])/4 - 
       (73*d[8])/12 + (10*d[9])/3 - (89*d[10])/12 + (31*d[11])/12 - 
       (5*d[12])/6 - (31*d[13])/3 + (31*d[14])/12 + (77*d[15])/12 + 
       (91*d[16])/12 - (9*d[17])/2 + d[18]/6 - (133*d[19])/12 - 3*d[20] - 
       2*d[21] - (45*d[22])/4 + (13*d[24])/6 - (4*d[26])/3 - (2*d[27])/3 + 
       (8*d[31])/3 + (4*d[32])/3 + d[33]/6 - (17*d[34])/6 - d[35]/4 - 
       2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     (-3*d[5] + 3*d[7] - 10*d[8] + (5*d[9])/3 - (25*d[10])/3 - (16*d[11])/3 + 
       2*d[13] + (13*d[16])/2 - 4*d[19] + (15*d[20])/4 - 4*d[22] + d[23] + 
       29*d[24] + d[27])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w] + ((-23*d[7])/6 + d[8]/6 + (5*d[9])/2 + 
       (8*d[10])/3 + (11*d[11])/3 + d[12] - (13*d[20])/4 - (3*d[23])/2 - 
       (37*d[24])/6)*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w] + 
     ((71*d[3])/6 - (23*d[4])/3 + (173*d[5])/12 + (19*d[6])/6 + 
       (287*d[7])/24 + (129*d[8])/8 + (71*d[9])/24 - (7*d[10])/12 + 
       (5*d[11])/6 - d[12]/3 - (8*d[13])/3 + (25*d[14])/6 + (4*d[15])/3 + 
       (31*d[16])/12 + d[17]/3 - (10*d[18])/3 - (17*d[19])/12 - 
       (21*d[20])/8 - (11*d[22])/4 + d[23]/4 - (95*d[24])/6 - d[26]/6 - 
       (23*d[27])/6 + d[29]/4 - d[31]/3 - (5*d[32])/3 + (4*d[33])/3 - d[34] - 
       d[35]/2 - 12*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + ((-2*d[3])/3 + (2*d[4])/3 - d[5]/3 + 
       (2*d[6])/3 + (11*d[7])/3 + (7*d[8])/3 - d[9]/3 - 5*d[10] + 
       (2*d[11])/3 - (4*d[12])/3 - (5*d[13])/3 - (2*d[14])/3 - (8*d[15])/3 - 
       (4*d[16])/3 + (2*d[17])/3 - (4*d[18])/3 + (8*d[19])/3 + 
       (23*d[20])/12 + (8*d[21])/3 + (8*d[22])/3 - d[23]/6 - (55*d[24])/12 - 
       d[29]/3 + d[35]/3 + 2*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + (d[3] - d[4] + d[5]/2 - (5*d[7])/2 - 
       (3*d[8])/2 + (8*d[9])/3 + (23*d[10])/6 + d[11]/6 + d[12] + 
       (5*d[13])/3 + 2*d[15] - 2*d[19] - (5*d[20])/4 - 2*d[21] - 2*d[22] + 
       d[23]/2 + (13*d[24])/4 - d[35]/2 - 3*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     (-3*d[3] + (8*d[4])/9 - d[5]/3 - d[6]/18 - (71*d[7])/24 + (59*d[8])/72 + 
       (29*d[9])/72 - (14*d[10])/9 + (229*d[11])/36 - (25*d[12])/18 + 
       (10*d[13])/9 - (34*d[14])/9 - (43*d[15])/18 - (53*d[16])/18 - 
       3*d[17] + (55*d[18])/9 + (89*d[19])/18 + (175*d[20])/24 + 
       (10*d[21])/3 + (11*d[22])/2 + d[23]/12 - (437*d[24])/36 + d[26]/9 + 
       (2*d[27])/9 + d[29]/6 + (7*d[31])/9 + (13*d[32])/18 - (11*d[33])/9 + 
       (10*d[34])/9 + (26*d[36])/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + (-2*d[3] + 2*d[4] - d[5] + (4*d[7])/3 - 
       (2*d[8])/3 - (28*d[9])/9 - (73*d[10])/9 + (20*d[11])/9 + 2*d[12] + 
       (5*d[13])/3 - 2*d[15] + 2*d[19] + (5*d[20])/4 + 2*d[21] + 2*d[22] - 
       (7*d[23])/2 + (17*d[24])/12 + d[35] + 6*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (2*d[3] - 2*d[4] + d[5] - (4*d[7])/3 + (2*d[8])/3 + (28*d[9])/9 + 
       (73*d[10])/9 - (20*d[11])/9 - 2*d[12] - (5*d[13])/3 + 2*d[15] - 
       2*d[19] - (5*d[20])/4 - 2*d[21] - 2*d[22] + (7*d[23])/2 - 
       (17*d[24])/12 - d[35] - 6*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + (-5*d[3] + (7*d[4])/3 + (11*d[5])/2 + 
       (20*d[6])/3 + 2*d[7] - (13*d[8])/3 + (7*d[9])/6 - (28*d[10])/3 + 
       (37*d[11])/6 - (28*d[12])/3 - (34*d[13])/3 + (23*d[14])/6 - d[15]/3 + 
       (41*d[16])/6 - 6*d[17] + (26*d[18])/3 - (19*d[19])/3 - (5*d[20])/2 + 
       11*d[21] - 3*d[22] - 4*d[23] - (46*d[24])/3 - (4*d[26])/3 + 
       (4*d[27])/3 + (14*d[31])/3 + (7*d[32])/3 + (11*d[33])/3 - 
       (25*d[34])/3 - d[35]/2 - 2*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + (2*d[3] - 2*d[4] + d[5] + 9*d[7] + 11*d[8] - 
       (32*d[9])/3 - (29*d[10])/3 + d[11]/3 + 4*d[12] + 2*d[15] - 2*d[19] - 
       (5*d[20])/4 - 2*d[21] - 2*d[22] + (7*d[23])/2 + (7*d[24])/4 + d[35] - 
       6*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (-2*d[3] + 2*d[4] - d[5] - 9*d[7] - 11*d[8] + (32*d[9])/3 + 
       (29*d[10])/3 - d[11]/3 - 4*d[12] - 2*d[15] + 2*d[19] + (5*d[20])/4 + 
       2*d[21] + 2*d[22] - (7*d[23])/2 - (7*d[24])/4 - d[35] + 6*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (-d[5]/2 - (7*d[8])/2 - (5*d[9])/2 - d[10]/2 - 3*d[11] + 4*d[16] - 
       d[19] - d[22] + (23*d[24])/2 - (3*d[27])/2)*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + (-4*d[3] + 4*d[4] - 15*d[5] + 4*d[7] + 5*d[8] - 
       d[9] - 3*d[10] - 2*d[11] + d[16] + 3*d[19] + 4*d[21] + 8*d[22] - 
       18*d[24] - 3*d[27] - 4*d[34])*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + (2*d[3] - 2*d[4] - d[9] - 2*d[10] + 7*d[11] - 
       d[16]/2 + 2*d[19] + d[21] - 5*d[22] + d[24]/2 - d[34])*
      HPL[{0, 0, 1}, 1 - w]^2 + (4*d[3] - (25*d[4])/6 + 2*d[5] + (7*d[6])/6 + 
       (17*d[7])/4 - (85*d[8])/12 + (53*d[9])/12 - (71*d[10])/6 + 
       (8*d[11])/3 + d[12]/6 - (10*d[13])/3 + d[14]/3 - (7*d[15])/3 + 
       (46*d[16])/3 - (7*d[17])/2 - (5*d[18])/6 - (23*d[19])/6 + 
       (25*d[20])/4 + 4*d[21] - 4*d[22] - (9*d[23])/2 + (31*d[24])/6 + 
       d[26]/6 - (2*d[27])/3 - (4*d[31])/3 - (2*d[32])/3 + (2*d[33])/3 + 
       (2*d[34])/3 - 8*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (d[2] - (14*d[4])/9 + 3*d[5] + (38*d[6])/9 + 
       (35*d[7])/12 - (23*d[8])/18 + (11*d[9])/9 - (47*d[10])/18 + 
       (65*d[11])/9 + (43*d[12])/18 - (191*d[13])/18 + (28*d[14])/9 + 
       (275*d[15])/36 + (55*d[16])/9 - 7*d[17] + (26*d[18])/9 - 
       (94*d[19])/9 - (37*d[20])/8 - 4*d[21] - (32*d[22])/3 - (19*d[23])/12 + 
       (265*d[24])/72 - (19*d[26])/36 - (5*d[27])/36 + (19*d[31])/18 + 
       (19*d[32])/36 + (2*d[33])/9 - (23*d[34])/18 - (19*d[36])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((13*d[7])/6 + (13*d[8])/6 - (29*d[9])/9 - (11*d[10])/9 + (4*d[11])/9 + 
       (3*d[12])/2 - (5*d[13])/6 - (13*d[20])/2 - 3*d[23] + d[24]/2)*
      HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u] + 
     ((7*d[4])/6 - (7*d[5])/2 + d[6]/3 + (7*d[7])/4 - (5*d[8])/12 - 
       (17*d[9])/12 - (8*d[10])/3 - (13*d[11])/6 - (7*d[12])/6 + 
       (16*d[13])/3 - (7*d[14])/3 - (17*d[15])/3 + (5*d[16])/3 - 
       (3*d[17])/2 + (23*d[18])/6 + (23*d[19])/6 + (55*d[20])/4 + 4*d[21] + 
       3*d[22] - (11*d[23])/2 - (91*d[24])/6 + d[26]/3 - (5*d[27])/6 - 
       (2*d[31])/3 - d[32]/3 + (4*d[33])/3 - (2*d[34])/3 + 2*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((-2*d[2])/3 + (8*d[3])/3 - 2*d[4] - (44*d[5])/3 + (5*d[6])/3 - 
       (29*d[7])/6 - (17*d[8])/6 - (11*d[9])/6 + (4*d[10])/3 - (23*d[11])/3 - 
       7*d[12] + (40*d[13])/3 - (8*d[14])/3 + (4*d[15])/3 - (20*d[16])/3 + 
       (22*d[17])/3 - (14*d[18])/3 + (4*d[19])/3 + (15*d[20])/2 - 2*d[21] + 
       (2*d[22])/3 + (19*d[23])/3 + (67*d[24])/6 + d[26]/3 + (2*d[27])/3 - 
       (2*d[29])/3 - (8*d[31])/3 - (4*d[32])/3 + (4*d[33])/3 + (4*d[34])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((4*d[5])/3 - (49*d[7])/12 - (37*d[8])/12 + (221*d[9])/36 + 
       (35*d[10])/9 + (31*d[11])/18 - (5*d[12])/3 + (5*d[13])/6 - d[16]/3 + 
       (91*d[20])/12 + (41*d[23])/12 + d[24]/3)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((-5*d[3])/3 + (7*d[4])/6 + (5*d[5])/12 + (7*d[6])/12 + (23*d[7])/24 + 
       d[8]/24 + (29*d[9])/24 - (7*d[10])/12 + (29*d[11])/6 + (19*d[12])/12 - 
       7*d[13] + 2*d[14] + (25*d[15])/4 + (5*d[16])/12 - (37*d[17])/6 + 
       (29*d[18])/6 - (29*d[19])/4 - (3*d[20])/2 - 4*d[21] - (31*d[22])/4 - 
       2*d[23] - (115*d[24])/24 - d[26]/2 + d[27]/4 + (4*d[31])/3 + 
       (2*d[32])/3 + d[33]/2 - (11*d[34])/6 + d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((-10*d[2])/9 - d[5]/3 + (29*d[7])/12 + (25*d[8])/12 - (73*d[9])/12 - 
       (17*d[10])/6 - (14*d[11])/3 - (8*d[12])/3 + (5*d[13])/6 - d[16]/3 + 
       (91*d[20])/12 + (41*d[23])/12 + d[24]/3 + d[27]/3)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     (d[2] - (3*d[7])/4 - (3*d[8])/4 + (25*d[9])/12 + d[10]/2 + (4*d[11])/3 + 
       (7*d[12])/4 - (5*d[13])/6 - (13*d[20])/2 - 3*d[23] + d[24]/2)*
      HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u] + 
     (-6*d[3] + (2*d[4])/3 + (19*d[5])/2 + (13*d[6])/3 - (5*d[7])/4 - 
       (47*d[8])/12 + (61*d[9])/12 - (26*d[10])/3 + (37*d[11])/3 - 
       (19*d[12])/6 - (35*d[13])/3 + (8*d[14])/3 + (19*d[15])/3 + 
       (19*d[16])/6 - 10*d[17] + (28*d[18])/3 - (55*d[19])/6 - (3*d[20])/4 + 
       6*d[21] - (15*d[22])/2 + d[23]/2 - (37*d[24])/6 - (8*d[26])/3 + 
       (5*d[27])/3 + (13*d[31])/3 + (13*d[32])/6 - (5*d[33])/3 - 
       (8*d[34])/3 + 5*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (2*d[7] + 2*d[8] - (29*d[9])/6 + (2*d[10])/3 - 
       (25*d[11])/3 - 3*d[12] + 12*d[15] - 12*d[19] - (15*d[20])/2 - 
       12*d[21] - 12*d[22] + 9*d[23] + (45*d[24])/2)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (-2*d[7] - 2*d[8] + (29*d[9])/6 - (2*d[10])/3 + (25*d[11])/3 + 3*d[12] + 
       12*d[15] - 12*d[19] - (15*d[20])/2 - 12*d[21] - 12*d[22] + 9*d[23] + 
       (45*d[24])/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (-2*d[3] + (5*d[4])/9 - 11*d[5] - 
       (67*d[6])/18 - (179*d[7])/12 + (253*d[8])/36 - (167*d[9])/36 + 
       (94*d[10])/9 - (53*d[11])/9 + (10*d[12])/9 + (154*d[13])/9 - 
       (82*d[14])/9 - (44*d[15])/9 - (533*d[16])/18 - (5*d[17])/2 + 
       (73*d[18])/9 + (233*d[19])/18 + 23*d[20] - d[21]/2 + (61*d[22])/6 + 
       d[23]/3 - (1289*d[24])/36 + (23*d[26])/18 + (61*d[27])/18 - d[29]/2 - 
       (32*d[31])/9 - (25*d[32])/9 + (25*d[33])/9 + (7*d[34])/9 + 
       (50*d[36])/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + ((-13*d[7])/6 - (13*d[8])/6 + (49*d[9])/18 + 
       (68*d[10])/9 + (127*d[11])/18 + 5*d[12] + (19*d[13])/3 + 3*d[14] + 
       6*d[15] - 6*d[19] - (15*d[20])/4 - 6*d[21] - 6*d[22] + (13*d[23])/2 + 
       (33*d[24])/4 + d[35])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + ((4*d[3])/3 - 2*d[4] + (2*d[5])/3 - d[6] + 
       (17*d[7])/6 + (7*d[8])/6 - (61*d[9])/18 - (89*d[10])/9 - 
       (62*d[11])/9 - 6*d[12] - (19*d[13])/3 - (8*d[14])/3 - 5*d[15] + 
       6*d[16] - (7*d[17])/3 + 3*d[18] + (10*d[19])/3 + (35*d[20])/12 + 
       (16*d[21])/3 + (10*d[22])/3 - (29*d[23])/6 - (25*d[24])/12 - d[25]/3 + 
       d[26]/3 + d[27]/3 + d[29]/3 - (2*d[35])/3 - 4*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((41*d[3])/3 - (22*d[4])/3 - d[5]/6 + (17*d[6])/6 + (61*d[7])/6 - 
       (11*d[8])/2 + (8*d[9])/3 - (5*d[10])/3 - (22*d[11])/3 - (19*d[12])/6 - 
       (31*d[13])/3 - (2*d[14])/3 + (17*d[15])/3 + (41*d[16])/3 - 
       (53*d[17])/6 - (20*d[18])/3 - (34*d[19])/3 - (3*d[20])/4 - d[21]/2 - 
       12*d[22] + (7*d[23])/2 + (343*d[24])/12 - (17*d[26])/6 - 
       (14*d[27])/3 - d[29]/2 - (17*d[31])/3 - (23*d[32])/6 + (2*d[33])/3 + 
       5*d[34] - 15*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + ((4*d[3])/3 - (2*d[4])/3 - d[6]/3 + 
       (5*d[7])/2 + d[8]/6 + (17*d[9])/6 - (5*d[10])/3 + (17*d[11])/3 + 
       4*d[12] - (19*d[13])/3 - (8*d[14])/3 - 5*d[15] + 6*d[16] - 
       (7*d[17])/3 + 3*d[18] + (10*d[19])/3 + (35*d[20])/12 + (16*d[21])/3 + 
       (10*d[22])/3 - (29*d[23])/6 - (25*d[24])/12 - d[26]/3 - d[27]/3 + 
       d[29]/3 - (2*d[35])/3 - 4*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + ((-3*d[7])/2 - (3*d[8])/2 - (7*d[9])/6 - 
       (4*d[10])/3 - (13*d[11])/6 + 2*d[12] + (19*d[13])/3 + 3*d[14] + 
       6*d[15] - 6*d[19] - (15*d[20])/4 - 6*d[21] - 6*d[22] + (13*d[23])/2 + 
       (33*d[24])/4 + d[35])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + (d[6]/2 + d[7] + d[8] - d[10]/2 + 
       (23*d[11])/2 + 3*d[14] + 2*d[15] + d[16] - d[18] - (5*d[19])/2 - 
       3*d[20] - (7*d[22])/2 + (9*d[24])/2 + (3*d[26])/2 + d[35])*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (d[3] - 4*d[4] - (3*d[5])/2 - d[6] - (3*d[7])/2 - (5*d[8])/2 - 
       (3*d[10])/2 + (7*d[11])/2 + 3*d[14] + 2*d[15] + d[16] - d[18] - 
       (5*d[19])/2 - 3*d[20] - (7*d[22])/2 + (9*d[24])/2 + d[35])*
      HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (2*d[2] - (19*d[4])/9 - d[5]/2 - (43*d[6])/18 + (31*d[7])/48 - 
       (119*d[8])/144 - (53*d[9])/144 - (17*d[10])/36 + (365*d[11])/72 - 
       (37*d[12])/18 + (17*d[13])/18 + (37*d[14])/18 + (121*d[15])/9 - 
       (25*d[16])/36 - (19*d[18])/18 - (545*d[19])/36 - (99*d[20])/16 - 
       (13*d[21])/2 - (75*d[22])/4 + (299*d[23])/24 + (259*d[24])/9 - 
       (23*d[26])/36 + (29*d[27])/36 + (7*d[31])/9 + (7*d[32])/18 + 
       (29*d[33])/18 - (43*d[34])/18 - (7*d[36])/3)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1, 1}, 1 - v] + (d[2] + 4*d[3] - 5*d[4] - (37*d[5])/4 + 
       (9*d[6])/4 - (5*d[7])/12 - (17*d[8])/12 - (139*d[9])/36 - 
       (113*d[10])/18 + (13*d[11])/18 - d[12] + (65*d[13])/6 + d[14] + 
       7*d[15] - (13*d[16])/2 - (9*d[17])/2 - d[18]/2 - (17*d[19])/2 + 
       20*d[20] - d[21] - (27*d[22])/2 + (7*d[23])/2 - (7*d[24])/4 + 
       2*d[27] - 2*d[31] - d[32] + 5*d[33] - 3*d[34] - 6*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (-d[5]/2 + (9*d[7])/4 + (9*d[8])/4 - (9*d[9])/4 + (9*d[10])/4 + d[11] + 
       d[12] + d[13] + d[14]/2 + d[15] - d[19] + (5*d[20])/4 - d[21] - 
       d[22] + (3*d[23])/2 - (3*d[24])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - v] + (-d[14] - (13*d[20])/4 - (3*d[23])/2 - d[24]/2)*
      HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - v] + 
     ((-4*d[2])/3 + 2*d[3] - (8*d[4])/3 - (2*d[5])/3 + (11*d[6])/3 - 
       (25*d[7])/12 + (41*d[8])/4 - (137*d[9])/36 + (173*d[10])/18 - 
       (37*d[11])/18 - (7*d[12])/3 + (9*d[13])/2 - 7*d[14] + d[15]/2 - 
       13*d[16] + (11*d[17])/6 - (11*d[18])/6 + (9*d[19])/2 + (25*d[20])/4 - 
       (17*d[21])/3 + (13*d[22])/2 + d[23]/4 - (77*d[24])/6 + (7*d[26])/6 + 
       (7*d[27])/3 - d[29]/3 - (8*d[31])/3 - (13*d[32])/6 - (4*d[33])/3 + 
       4*d[34] + 2*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + ((14*d[3])/3 - (10*d[4])/3 - 2*d[5] + d[6] + 
       (35*d[7])/6 - (55*d[8])/6 + (29*d[9])/6 - (28*d[10])/3 - (7*d[11])/3 - 
       (10*d[12])/3 + (4*d[13])/3 + (2*d[14])/3 + 2*d[15] + (52*d[16])/3 - 
       (4*d[17])/3 - (14*d[18])/3 - (29*d[19])/3 + (3*d[20])/2 - 
       (2*d[21])/3 - 9*d[22] + (7*d[23])/2 + (62*d[24])/3 - d[26] - 
       (7*d[27])/3 + d[28]/3 + (4*d[30])/3 - (4*d[31])/3 - (2*d[32])/3 + 
       (4*d[34])/3 - 10*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (-2*d[10] - 2*d[13] + (13*d[20])/4 + (3*d[23])/2 + (5*d[24])/2)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((-5*d[2])/9 + (5*d[3])/6 - (29*d[4])/18 + (77*d[5])/12 + (7*d[6])/9 + 
       (163*d[7])/48 - (755*d[8])/144 + (259*d[9])/144 - (103*d[10])/18 + 
       (143*d[11])/72 - (2*d[12])/9 - (127*d[13])/18 + (49*d[14])/18 - 
       (23*d[15])/36 + (109*d[16])/18 - (7*d[17])/6 - (37*d[18])/18 - 
       (23*d[19])/9 - (257*d[20])/48 + (14*d[21])/3 - 3*d[22] - d[23]/8 + 
       (571*d[24])/36 - (29*d[26])/36 + (5*d[27])/36 - d[28]/6 - 
       (2*d[30])/3 + (7*d[31])/9 + (7*d[32])/18 + (4*d[33])/9 - 
       (11*d[34])/9 - (29*d[36])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v] + ((-5*d[5])/2 + (19*d[7])/12 + (19*d[8])/12 - 
       (85*d[9])/36 + (7*d[10])/18 - (7*d[11])/9 + (7*d[13])/6 - 
       (13*d[20])/4 - (3*d[23])/2 - (49*d[24])/12)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     ((-19*d[7])/12 - (19*d[8])/12 + (85*d[9])/36 + (29*d[10])/18 + 
       (7*d[11])/9 + (5*d[13])/6 + d[14] + (13*d[20])/4 + (3*d[23])/2 + 
       (25*d[24])/12)*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v] + 
     (10*d[3] - (122*d[4])/9 + (7*d[5])/2 + (38*d[6])/9 + (61*d[7])/24 - 
       (317*d[8])/72 + (181*d[9])/72 - (53*d[10])/18 + (185*d[11])/36 - 
       (119*d[12])/18 + (17*d[13])/9 - (17*d[14])/9 + (8*d[15])/9 - 
       (25*d[16])/18 - 5*d[17] - (281*d[18])/18 - (53*d[19])/18 + 
       (67*d[20])/8 + 8*d[21] - (19*d[22])/6 + (59*d[23])/12 - 
       (53*d[24])/18 - (23*d[26])/18 + (47*d[27])/18 - d[29]/2 - 
       (31*d[31])/9 - (31*d[32])/18 + (11*d[33])/9 + (20*d[34])/9 + d[35] - 
       (59*d[36])/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + ((25*d[7])/6 + (25*d[8])/6 + (23*d[9])/18 - 
       d[10]/18 + (49*d[11])/9 - (7*d[13])/3 - 7*d[24] + d[28]/2 + 2*d[30])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     ((8*d[2])/3 - 6*d[5] - (25*d[7])/6 - (13*d[8])/6 + (31*d[9])/18 + 
       (11*d[10])/9 - (25*d[11])/9 - (2*d[12])/3 + (5*d[13])/3 - 2*d[14] - 
       7*d[16] + d[19] - (2*d[20])/3 + (4*d[21])/3 - d[22]/3 - (2*d[23])/3 + 
       d[24]/2 + (2*d[27])/3 - (2*d[28])/3 - (8*d[30])/3 + (4*d[33])/3 - 
       (4*d[34])/3)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + (d[3]/2 - (35*d[4])/6 + (15*d[5])/2 + 
       (67*d[6])/12 - (17*d[7])/4 - (191*d[8])/12 + (175*d[9])/12 - 
       (35*d[10])/3 + (85*d[11])/12 - (73*d[12])/6 - (55*d[13])/6 + 
       (26*d[14])/3 + (157*d[15])/12 + (14*d[16])/3 - (29*d[17])/4 - 
       (23*d[18])/12 - (115*d[19])/6 + (11*d[20])/4 - d[21] - (37*d[22])/2 + 
       (13*d[23])/2 + (179*d[24])/6 - (23*d[26])/12 + (8*d[27])/3 - d[29]/2 + 
       (11*d[31])/6 + (11*d[32])/12 - (2*d[33])/3 - (7*d[34])/6 + d[35]/2 - 
       7*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (d[7] + d[8] - (7*d[9])/3 - (22*d[10])/3 + (8*d[11])/3 - 12*d[13] + 
       20*d[24] - d[28] + 4*d[30])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + (-d[7] - d[8] + (7*d[9])/3 + (22*d[10])/3 - 
       (8*d[11])/3 + 12*d[13] - 20*d[24] + d[28] - 4*d[30])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     ((-7*d[3])/3 + (79*d[4])/9 - 12*d[5] - (94*d[6])/9 + (11*d[7])/8 + 
       (823*d[8])/72 - (635*d[9])/72 - (22*d[10])/9 - (589*d[11])/36 + 
       (145*d[12])/18 + (152*d[13])/9 - (83*d[14])/9 - (131*d[15])/18 - 
       (163*d[16])/18 + (16*d[17])/3 + (74*d[18])/9 + (253*d[19])/18 + 
       (253*d[20])/24 - (32*d[21])/3 + (89*d[22])/6 - (3*d[23])/4 - 
       (149*d[24])/18 + (49*d[26])/18 - (73*d[27])/18 - d[28]/3 - d[29]/3 - 
       (4*d[30])/3 - (31*d[31])/9 - (31*d[32])/18 - (7*d[33])/9 + 
       (38*d[34])/9 + (52*d[36])/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + ((-35*d[7])/6 - (35*d[8])/6 + (77*d[9])/18 + 
       (70*d[10])/9 + (58*d[11])/9 - (17*d[13])/3 + (23*d[24])/6 - d[28] + 
       4*d[30])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((35*d[7])/6 + (35*d[8])/6 - (77*d[9])/18 - (70*d[10])/9 - 
       (58*d[11])/9 + (17*d[13])/3 - (23*d[24])/6 + d[28] - 4*d[30])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (4*d[2] - 13*d[5] + 2*d[7] - 6*d[8] + 8*d[9] - 10*d[10] + 8*d[16])*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (4*d[5] - 2*d[7] + 2*d[8] + 2*d[9] + 17*d[10] + 20*d[11] - 4*d[15] - 
       6*d[16] - 2*d[17] + 2*d[18] + 8*d[19] + (5*d[20])/2 - 4*d[21] + 
       16*d[22] - 3*d[23] + (5*d[24])/2 - 2*d[25] - 8*d[33] + 8*d[34] + 
       2*d[35])*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (-2*d[5] - 2*d[7] - 4*d[8] + 14*d[10] - 5*d[11] + 4*d[15] - 10*d[16] + 
       d[17] - d[18] - 6*d[19] - (5*d[20])/2 - 4*d[21] - 6*d[22] + 3*d[23] - 
       (9*d[24])/2 + 2*d[27] - d[29] - 2*d[35])*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (-4*d[3] + 6*d[4] + (7*d[5])/2 - 2*d[6] + 
       d[7]/2 - 12*d[8] - d[9]/2 - (19*d[10])/2 - (13*d[11])/2 - 15*d[12] - 
       4*d[14] - 4*d[15] + (23*d[16])/2 + (21*d[17])/2 - (23*d[18])/2 + 
       9*d[19] - (3*d[20])/2 + 13*d[22] - 11*d[23] + (19*d[24])/2 - d[26] + 
       d[27]/2 - 4*d[33] + 4*d[34] - 2*d[35] + 12*d[36])*
      HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (2*d[5] + d[7] - 6*d[8] + d[9] - (33*d[10])/2 - d[11] + 15*d[16] - 
       3*d[19] - 2*d[21] - d[22] + (41*d[24])/2 - d[27] - 4*d[30] - 2*d[33] + 
       2*d[34])*HPL[{0, 1, 1}, 1 - v]^2 + 
     ((11*d[3])/12 - (59*d[4])/12 + (25*d[5])/12 + (3*d[6])/4 + 
       (53*d[7])/48 - (199*d[8])/48 + (127*d[9])/48 + d[10]/2 + 
       (113*d[11])/24 - (7*d[12])/4 - (8*d[13])/3 + (19*d[14])/6 + 
       (89*d[15])/6 + 5*d[16] - (5*d[17])/6 - 3*d[18] - (55*d[19])/3 - 
       (149*d[20])/16 - (13*d[21])/2 - (65*d[22])/3 + (103*d[23])/8 + 
       (149*d[24])/4 - (2*d[26])/3 + (11*d[27])/12 + d[31]/2 + d[32]/4 + 
       (4*d[33])/3 - (11*d[34])/6 - (13*d[36])/2)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1, 1}, 1 - w] + ((14*d[3])/3 + (5*d[4])/3 - (29*d[5])/6 - 
       d[6]/2 - d[7]/6 + (25*d[8])/6 - (11*d[9])/2 + (41*d[10])/6 - 
       (85*d[11])/6 - (17*d[12])/2 + (9*d[13])/2 - 7*d[14] + d[15]/2 - 
       13*d[16] + (11*d[17])/6 - (11*d[18])/6 + (9*d[19])/2 + (25*d[20])/4 - 
       (17*d[21])/3 + (13*d[22])/2 + d[23]/4 - (77*d[24])/6 - (2*d[26])/3 - 
       d[27] - d[29]/3 - (8*d[31])/3 - (13*d[32])/6 - (4*d[33])/3 + 4*d[34] + 
       2*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((-5*d[3])/6 - (2*d[4])/9 + (7*d[5])/3 - (7*d[6])/36 + (13*d[7])/48 - 
       (265*d[8])/144 + (593*d[9])/144 + (73*d[10])/18 + (421*d[11])/72 + 
       (59*d[12])/36 - (31*d[13])/9 + (29*d[14])/18 - (73*d[15])/36 + 
       (13*d[16])/36 - d[17]/3 - d[18]/9 + (23*d[19])/36 - (107*d[20])/48 + 
       (14*d[21])/3 - d[22]/12 - (13*d[23])/24 + (133*d[24])/18 - d[26]/9 + 
       (7*d[27])/9 - d[28]/6 - (2*d[30])/3 + (19*d[31])/18 + (19*d[32])/36 + 
       (13*d[33])/18 - (16*d[34])/9 - (2*d[36])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w] + 
     ((-5*d[7])/6 - (5*d[8])/6 - (2*d[9])/9 - (2*d[10])/9 - (19*d[11])/18 + 
       (5*d[13])/6 + d[14] + (13*d[20])/4 + (3*d[23])/2 + (25*d[24])/12)*
      HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w] + 
     (8*d[3] - (28*d[4])/3 - 4*d[5] + (79*d[6])/12 + (3*d[7])/2 - 
       (29*d[8])/3 + (13*d[9])/3 - (11*d[10])/6 + (29*d[11])/6 - 
       (25*d[12])/6 + (13*d[13])/6 + (11*d[14])/3 + (31*d[15])/3 + 
       (43*d[16])/6 - (13*d[17])/2 - (31*d[18])/6 - (97*d[19])/6 + 
       (25*d[20])/2 - d[21] - (41*d[22])/2 + (9*d[23])/2 + (223*d[24])/12 - 
       (7*d[26])/6 + (7*d[27])/6 - (8*d[31])/3 - (4*d[32])/3 + (13*d[33])/3 - 
       (5*d[34])/3 - 16*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((-8*d[2])/3 + (2*d[3])/3 - (4*d[4])/3 - 
       (8*d[5])/3 - 2*d[6] + 6*d[7] + 5*d[8] - 7*d[9] - 13*d[10] + 
       (8*d[11])/3 - d[12]/3 + 10*d[13] - 2*d[14] - (4*d[15])/3 + 
       (11*d[16])/3 + (2*d[17])/3 - 2*d[19] + 9*d[20] - (2*d[21])/3 - 
       2*d[22] + (5*d[23])/2 + d[24]/3 + (4*d[26])/3 + (4*d[27])/3 + 
       d[28]/3 + (4*d[30])/3 - (2*d[31])/3 - d[32]/3 + (2*d[33])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (2*d[5] + (5*d[7])/6 + (5*d[8])/6 - (4*d[9])/9 + (14*d[10])/9 + 
       (7*d[11])/18 + (7*d[13])/6 - (13*d[20])/4 - (3*d[23])/2 - 
       (49*d[24])/12)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((5*d[2])/3 - 3*d[7] - 3*d[8] + (7*d[9])/3 + 
       (4*d[10])/3 - (2*d[11])/3 + (3*d[12])/4 + d[13] + d[14]/2 + d[15] - 
       d[19] + (5*d[20])/4 - d[21] - d[22] + (3*d[23])/2 - (3*d[24])/4)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w] + 
     (-d[5] + (2*d[9])/3 - (4*d[10])/3 + (2*d[11])/3 - 2*d[13] + 
       (13*d[20])/4 + (3*d[23])/2 + (5*d[24])/2)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w] + 
     (-d[14] - (13*d[20])/4 - (3*d[23])/2 - d[24]/2)*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - w] + (-d[2] - (7*d[3])/6 + (13*d[4])/3 - 
       (41*d[5])/6 - (7*d[6])/3 - (145*d[7])/24 + (189*d[8])/8 - 
       (307*d[9])/24 + (38*d[10])/3 - (5*d[11])/12 + (23*d[12])/3 + 
       (88*d[13])/3 - (31*d[14])/3 - (29*d[15])/3 - (134*d[16])/3 + 
       (4*d[17])/3 - (5*d[18])/6 + (64*d[19])/3 + (257*d[20])/8 + 8*d[21] + 
       19*d[22] + (7*d[23])/4 - (202*d[24])/3 - d[26]/6 + (5*d[27])/3 - 
       d[29]/2 - (4*d[31])/3 - (2*d[32])/3 + (10*d[33])/3 - 2*d[34] + d[35] + 
       12*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((-10*d[2])/3 - 5*d[5] - (28*d[7])/3 - (22*d[8])/3 + (2*d[9])/3 + 
       (44*d[10])/3 - d[11]/3 - (2*d[12])/3 + (5*d[13])/3 - 2*d[14] - 
       7*d[16] + d[19] - (2*d[20])/3 + (4*d[21])/3 - d[22]/3 - (2*d[23])/3 + 
       d[24]/2 + (2*d[27])/3 - (2*d[28])/3 - (8*d[30])/3 + (4*d[33])/3 - 
       (4*d[34])/3)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w] + (2*d[2] + 4*d[5] + 8*d[7] + (17*d[8])/2 - 
       (59*d[9])/6 - (23*d[10])/3 - (10*d[11])/3 - (7*d[13])/3 - 7*d[24] + 
       d[28]/2 + 2*d[30])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w] + ((-8*d[2])/3 + (31*d[3])/3 - (82*d[4])/9 + 
       (67*d[5])/6 - (49*d[6])/18 + (65*d[7])/8 - (799*d[8])/72 + 
       (707*d[9])/72 - (29*d[10])/9 + (109*d[11])/36 + (22*d[12])/9 - 
       (95*d[13])/9 - (7*d[14])/9 + (59*d[15])/18 + (308*d[16])/9 - d[17] - 
       (59*d[18])/9 - (92*d[19])/9 - (317*d[20])/24 - (32*d[21])/3 - 
       (22*d[22])/3 + (29*d[23])/12 + (505*d[24])/9 - d[25]/3 + 
       (10*d[26])/9 - (37*d[27])/9 - d[28]/3 - d[29]/3 - (4*d[30])/3 - 
       (50*d[31])/9 - (25*d[32])/9 - (26*d[33])/9 + (76*d[34])/9 - 
       (43*d[36])/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + (2*d[2] + 12*d[5] - (8*d[7])/3 - (11*d[8])/3 + 
       (74*d[9])/9 + (20*d[10])/9 + (77*d[11])/9 + (17*d[13])/3 - 
       (23*d[24])/6 + d[28] - 4*d[30])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + (-2*d[2] - 12*d[5] + (8*d[7])/3 + (11*d[8])/3 - 
       (74*d[9])/9 - (20*d[10])/9 - (77*d[11])/9 - (17*d[13])/3 + 
       (23*d[24])/6 - d[28] + 4*d[30])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + (-2*d[2] + d[3]/2 - (13*d[4])/3 + 10*d[5] + 
       (53*d[6])/6 - (5*d[7])/4 - (161*d[8])/12 + (133*d[9])/12 - 
       (29*d[10])/3 + (37*d[11])/3 - (14*d[12])/3 - (55*d[13])/6 + 
       (26*d[14])/3 + (157*d[15])/12 + (14*d[16])/3 - (29*d[17])/4 - 
       (23*d[18])/12 - (115*d[19])/6 + (11*d[20])/4 - d[21] - (37*d[22])/2 + 
       (13*d[23])/2 + (179*d[24])/6 - (8*d[26])/3 + (13*d[27])/6 - d[29]/2 + 
       (11*d[31])/6 + (11*d[32])/12 - (2*d[33])/3 - (7*d[34])/6 + d[35]/2 - 
       7*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (-2*d[2] + 12*d[5] + 3*d[7] + 10*d[8] - (34*d[9])/3 + (8*d[10])/3 + 
       (8*d[11])/3 + 12*d[13] - 20*d[24] + d[28] - 4*d[30])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (2*d[2] - 12*d[5] - 3*d[7] - 10*d[8] + (34*d[9])/3 - (8*d[10])/3 - 
       (8*d[11])/3 - 12*d[13] + 20*d[24] - d[28] + 4*d[30])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (8*d[2] + 5*d[5] - 2*d[7] - 10*d[8] - 4*d[9] - 6*d[10] + 8*d[16])*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (10*d[5] + 2*d[6] - 2*d[7] - 2*d[8] + 4*d[9] + 4*d[15] - 10*d[16] + 
       d[17] - d[18] - 6*d[19] - (5*d[20])/2 - 4*d[21] - 6*d[22] + 3*d[23] - 
       (9*d[24])/2 + 2*d[25] - d[29] - 2*d[35])*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + (2*d[5] - 4*d[6] + 4*d[7] + 9*d[8] - 4*d[9] - 
       12*d[10] - 10*d[11] - 4*d[15] - 6*d[16] - 2*d[17] + 2*d[18] + 
       8*d[19] + (5*d[20])/2 - 4*d[21] + 16*d[22] - 3*d[23] + (5*d[24])/2 + 
       d[27] - 8*d[33] + 8*d[34] + 2*d[35])*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + (-4*d[3] + 2*d[4] + 8*d[5] + 5*d[6] - d[7]/2 - 
       8*d[8] + (9*d[9])/2 - (13*d[10])/2 - 8*d[11] - 9*d[12] - 4*d[14] - 
       4*d[15] + (23*d[16])/2 + (21*d[17])/2 - (23*d[18])/2 + 9*d[19] - 
       (3*d[20])/2 + 13*d[22] - 11*d[23] + (19*d[24])/2 + d[26] - d[27]/2 - 
       4*d[33] + 4*d[34] - 2*d[35] + 12*d[36])*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w] + (-52*d[5] - 10*d[6] - 3*d[7] - 14*d[8] - 
       11*d[9] - 11*d[10] + 8*d[11] + 21*d[16] - 10*d[17] + 10*d[18] - 
       15*d[19] + 4*d[21] - 14*d[22] + 10*d[24] - 3*d[27] + 8*d[30] + 
       4*d[33] - 4*d[34])*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (d[1] - 2*d[5] - d[7] - 16*d[8] + 16*d[9] - 8*d[10] + 3*d[11] + 
       15*d[16] - 3*d[19] - 2*d[21] - d[22] + (41*d[24])/2 - d[27] - 
       4*d[30] - 2*d[33] + 2*d[34])*HPL[{0, 1, 1}, 1 - w]^2 + 
     (4*d[3] - (20*d[4])/3 - d[5] + (8*d[6])/3 + (3*d[7])/2 - (41*d[8])/6 + 
       (13*d[9])/6 - (16*d[10])/3 + (20*d[11])/3 - (13*d[12])/3 + 
       (2*d[13])/3 + (16*d[14])/3 + (2*d[15])/3 + (13*d[16])/3 - 2*d[17] - 
       (22*d[18])/3 - (19*d[19])/3 + (9*d[20])/2 + 12*d[21] - 11*d[22] + 
       5*d[23] + (47*d[24])/3 - (4*d[26])/3 + (7*d[27])/3 + (2*d[31])/3 + 
       d[32]/3 + (14*d[33])/3 - (16*d[34])/3 - 14*d[36])*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1}, 1 - u] + (4*d[2] - (2*d[4])/3 + 5*d[5] + 
       (11*d[6])/3 + (9*d[7])/2 - (5*d[8])/6 + d[9]/2 - 8*d[10] + 2*d[11] - 
       d[12]/3 - (22*d[13])/3 + (4*d[14])/3 + (20*d[15])/3 + (16*d[16])/3 - 
       4*d[17] + (8*d[18])/3 - (34*d[19])/3 - (5*d[20])/2 - 6*d[21] - 
       8*d[22] - d[23] + (14*d[24])/3 - d[26]/3 - (2*d[27])/3 + (2*d[31])/3 + 
       d[32]/3 - (4*d[33])/3 + (2*d[34])/3 - 2*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (2*d[7] + 2*d[8] - (8*d[9])/3 - (2*d[10])/3 - (2*d[11])/3 - 2*d[13] + 
       2*d[24])*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-4*d[2] - 4*d[3] + (14*d[4])/3 + 4*d[5] + d[6]/3 - 3*d[7] + 
       (4*d[8])/3 - 3*d[9] + (4*d[12])/3 + (4*d[13])/3 - (4*d[14])/3 + 
       (10*d[15])/3 - (25*d[16])/3 - 2*d[17] + (22*d[18])/3 - (11*d[19])/3 + 
       5*d[20] - 6*d[21] - d[22] - 2*d[23] - (47*d[24])/3 + d[26]/3 - 
       d[27]/3 + (4*d[31])/3 + (2*d[32])/3 - (2*d[33])/3 - (2*d[34])/3 + 
       8*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((-16*d[5])/3 - 2*d[7] - 2*d[8] + (4*d[9])/3 + (4*d[10])/3 - 
       (2*d[11])/3 + 4*d[13] - 4*d[24])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u] + (2*d[5] + (4*d[9])/3 - (2*d[10])/3 + 
       (4*d[11])/3 - 2*d[13] + 2*d[24])*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - u] + (2*d[1] - 2*d[7] + 4*d[10] - 4*d[16] - 
       8*d[24])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-2*d[1] + 4*d[5] + 2*d[7] - 4*d[10] - 4*d[16] - 8*d[24])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-d[4] - 4*d[5] - d[7] + 2*d[8] - 3*d[9] - 2*d[10] - d[11] - 3*d[12] + 
       8*d[13] + d[14] - 7*d[16] + d[18] + d[19] + 10*d[20] - (3*d[21])/2 - 
       3*d[22] + d[23] - (23*d[24])/2 + d[25]/4 - d[26]/2 + d[27] + 2*d[33] - 
       2*d[34])*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-2*d[3] - (8*d[4])/3 + 7*d[5] + (11*d[6])/3 + d[7]/2 - (17*d[8])/6 + 
       (31*d[9])/6 - (16*d[10])/3 + (35*d[11])/3 + (5*d[12])/3 - 
       (22*d[13])/3 + (10*d[14])/3 + (17*d[15])/3 + (25*d[16])/3 - 5*d[17] + 
       (11*d[18])/3 - (37*d[19])/3 - (9*d[20])/2 - 15*d[22] - d[23] + 
       (11*d[24])/3 - d[26]/3 + (4*d[27])/3 + (8*d[31])/3 + (4*d[32])/3 + 
       (2*d[33])/3 - (10*d[34])/3 - 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v] + (2*d[7] + 2*d[8] - (26*d[9])/3 - 
       (2*d[10])/3 - (8*d[11])/3 + 4*d[23] + 2*d[24])*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - v] + (2*d[3] - (13*d[5])/3 + (11*d[6])/3 + 
       (7*d[7])/2 - (11*d[8])/2 + (3*d[9])/2 - 6*d[10] - 2*d[11] - 
       (7*d[12])/3 - 6*d[13] + (7*d[14])/3 + (17*d[15])/3 + 8*d[16] - 
       (7*d[17])/3 - (7*d[18])/3 - (20*d[19])/3 + d[20]/6 - (8*d[21])/3 - 
       (14*d[22])/3 + d[23]/3 + (32*d[24])/3 + d[25]/3 - d[26] - d[27] - 
       6*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((8*d[9])/3 - (4*d[10])/3 + (8*d[11])/3 - 2*d[13] - 8*d[16] - 8*d[23] - 
       2*d[24])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-2*d[7] - 2*d[8] + 2*d[9] + 2*d[10] + 2*d[13] + 4*d[23])*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v] + 
     (d[1]/2 + d[3] - d[4] + d[5] - 2*d[7] + 6*d[9] + d[10] - d[16]/2 + 
       4*d[19] - d[21] + 4*d[22] + d[24]/2 - d[32]/2 + 3*d[34])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-4*d[1] - 4*d[3] + 4*d[4] - 4*d[7] - 8*d[9] - 4*d[19] + 8*d[22])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (4*d[1] + 4*d[3] - 4*d[4] + 4*d[7] - 4*d[19] - 8*d[22])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((9*d[3])/2 - (13*d[4])/3 + (3*d[5])/2 + (13*d[6])/3 + 4*d[7] - 
       (13*d[8])/6 + (5*d[9])/6 - (7*d[10])/6 + (4*d[11])/3 + (7*d[12])/3 - 
       (2*d[13])/3 + (11*d[14])/3 + (10*d[15])/3 + (20*d[16])/3 - 2*d[17] - 
       (11*d[18])/3 - (20*d[19])/3 + (5*d[20])/2 - (3*d[21])/2 - 10*d[22] + 
       2*d[23] + (53*d[24])/6 - (2*d[26])/3 + d[27]/6 - (2*d[31])/3 - 
       d[32]/3 + (4*d[33])/3 - (2*d[34])/3 - 10*d[36])*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1}, 1 - w] + ((-8*d[3])/3 + 4*d[4] - (2*d[7])/3 + 
       6*d[8] - 2*d[9] - 2*d[10] - d[11]/3 - (26*d[12])/3 + (8*d[13])/3 - 
       d[14]/3 + (7*d[15])/3 - (17*d[16])/3 - d[17]/3 + (7*d[18])/3 + d[19] + 
       (23*d[20])/3 - (8*d[21])/3 + (7*d[22])/3 - (2*d[23])/3 - 
       (29*d[24])/3 + (2*d[26])/3 + (4*d[27])/3 + (2*d[31])/3 + d[32]/3 + 
       (2*d[33])/3 - (4*d[34])/3 + 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w] + ((-2*d[9])/3 + (4*d[10])/3 - (2*d[11])/3 + 
       2*d[13] + 4*d[23])*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - w] + 
     (-2*d[3] - (2*d[4])/3 + 3*d[5] + (8*d[6])/3 + d[7]/2 - (53*d[8])/6 + 
       d[9]/2 - 6*d[10] + 6*d[11] + (23*d[12])/3 - (22*d[13])/3 + 
       (10*d[14])/3 + (17*d[15])/3 + (25*d[16])/3 - 5*d[17] + (11*d[18])/3 - 
       (37*d[19])/3 - (9*d[20])/2 - 15*d[22] - d[23] + (11*d[24])/3 - 
       (4*d[26])/3 - (2*d[27])/3 + (8*d[31])/3 + (4*d[32])/3 + (2*d[33])/3 - 
       (10*d[34])/3 - 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + (2*d[7] + 2*d[8] - 4*d[9] - 4*d[10] - 
       2*d[11] - 2*d[13] - 8*d[16] - 8*d[23] - 2*d[24])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (-2*d[7] - 2*d[8] + (14*d[9])/3 + (8*d[10])/3 + (8*d[11])/3 + 4*d[23] + 
       2*d[24])*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w] + 
     (6*d[3] + 2*d[4] + d[5] - 2*d[7] + d[8] + 4*d[9] + 2*d[10] - d[11]/2 - 
       d[16]/2 + 4*d[19] - d[21] + 4*d[22] + d[24]/2 - d[32]/2 + 3*d[34])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (4*d[3] - 4*d[4] + 8*d[11] - 4*d[19] - 8*d[22])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w] + (-4*d[3] + 4*d[4] - 8*d[11] - 4*d[19] + 
       8*d[22])*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (-4*d[3] + 6*d[5] + 2*d[6] - (3*d[7])/2 - (5*d[8])/2 + (7*d[9])/2 - 
       6*d[10] + 8*d[11] - 3*d[12] - 6*d[13] + 4*d[15] + d[16] - 8*d[17] + 
       8*d[18] - 5*d[19] + (5*d[20])/2 + 4*d[21] - 3*d[22] + d[23] - 
       5*d[24] - 2*d[26] + d[27] + 2*d[31] + d[32] - 2*d[33] + 6*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - u] + 
     (6*d[3] - 6*d[4] + 10*d[5] + 4*d[6] + 12*d[7] - 14*d[8] + 8*d[9] - 
       8*d[10] - 14*d[11] - 11*d[12] - 14*d[13] + 4*d[14] + 9*d[15] + 
       (61*d[16])/2 - 6*d[17] - 4*d[18] - 13*d[19] - 10*d[20] - 6*d[21] - 
       11*d[22] + (43*d[24])/2 - 2*d[26] - 4*d[27] - 2*d[31] - d[32] - 
       2*d[33] + 4*d[34] - 12*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u] + (4*d[7] + (7*d[8])/2 + d[9]/2 - 
       (11*d[10])/4 + 2*d[11] - 8*d[13] + (9*d[24])/4)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + (2*d[2] - 14*d[3] + (50*d[4])/3 - 7*d[5] - 
       (26*d[6])/3 - (21*d[7])/2 + (191*d[8])/6 - (73*d[9])/6 + 
       (22*d[10])/3 + (13*d[11])/3 + (46*d[12])/3 + (88*d[13])/3 - 
       (28*d[14])/3 - (23*d[15])/3 - (227*d[16])/6 + 4*d[17] + (58*d[18])/3 + 
       (76*d[19])/3 + (55*d[20])/2 - 6*d[21] + 24*d[22] - 5*d[23] - 
       (481*d[24])/6 + (10*d[26])/3 + (5*d[27])/3 + (4*d[31])/3 + 
       (2*d[32])/3 + (4*d[33])/3 - (8*d[34])/3 + 38*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((-8*d[2])/3 - 2*d[5] - 10*d[7] - (22*d[8])/3 + (16*d[9])/3 + 14*d[10] - 
       (10*d[11])/3 + 16*d[13] - 4*d[16] + (8*d[19])/3 + (8*d[22])/3 - 
       (28*d[24])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u] + ((5*d[2])/2 + (5*d[5])/2 + 6*d[7] + 6*d[8] - 
       (14*d[9])/3 - (55*d[10])/6 + (4*d[11])/3 - 8*d[13] + (9*d[24])/4)*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-2*d[3] + 2*d[4] - d[5] + d[6] + 6*d[9] - (3*d[10])/2 + 5*d[11] + 
       d[12] - 2*d[13] - d[16]/2 + 4*d[17] - 6*d[18] - d[21] + d[22] - 
       2*d[23] + 4*d[24] - d[25]/2 - d[29]/2 - d[33] + d[34] - d[35] + 
       6*d[36])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (d[2] - 2*d[3] + 2*d[4] - d[5] + d[6] - 2*d[7] - 5*d[8] + d[9] - 
       3*d[10] - 6*d[11] + d[12] - 2*d[13] - d[16]/2 + 4*d[17] - 6*d[18] - 
       d[21] + d[22] - 2*d[23] + 4*d[24] + d[25]/2 - d[29]/2 - d[33] + 
       d[34] - d[35] + 6*d[36])*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((5*d[1])/4 - (21*d[3])/2 + (65*d[4])/6 - 14*d[5] - (71*d[6])/6 - 
       (59*d[7])/4 + (197*d[8])/12 - (205*d[9])/12 + (55*d[10])/6 - 
       (49*d[11])/3 + d[12]/6 + (83*d[13])/3 - (29*d[14])/3 - (53*d[15])/6 - 
       (125*d[16])/3 + (37*d[17])/4 + (71*d[18])/12 + (293*d[19])/12 + 
       (119*d[20])/4 - 10*d[21] + (97*d[22])/4 - (11*d[23])/2 - 
       (709*d[24])/12 + (11*d[26])/3 + (17*d[27])/6 - d[29]/4 + (2*d[31])/3 - 
       d[32]/6 + d[33]/6 - (4*d[34])/3 + 28*d[36])*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 1}, 1 - v] + (4*d[3] - 7*d[4] + (3*d[5])/2 + d[6]/2 - 
       5*d[7] - 17*d[8] + (101*d[9])/6 + (5*d[10])/6 + (37*d[11])/3 + d[12] + 
       6*d[13] + 6*d[14] + 2*d[15] + 16*d[16] - 4*d[17] - 2*d[18] - 7*d[19] - 
       (3*d[20])/2 + 7*d[21] - 8*d[22] + d[23] + (35*d[24])/2 - (3*d[26])/2 + 
       d[27] + d[29]/2 + d[33] - d[34] + d[35] - 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((3*d[7])/2 - (5*d[8])/2 + (5*d[9])/2 + (3*d[10])/2 - d[11] - 3*d[12] - 
       12*d[13] + (13*d[20])/2 + 3*d[23] + (37*d[24])/2 - d[28])*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-2*d[2] + (40*d[3])/3 - (38*d[4])/3 + 13*d[5] + 6*d[6] + 16*d[7] - 
       (38*d[8])/3 + 3*d[9] - (34*d[10])/3 - (40*d[11])/3 - 14*d[12] - 
       (62*d[13])/3 + 8*d[15] + (118*d[16])/3 + 2*d[17] - 19*d[18] - 
       (46*d[19])/3 - (79*d[20])/6 - (26*d[21])/3 - (38*d[22])/3 + 7*d[23] + 
       (317*d[24])/6 - (2*d[26])/3 - (14*d[27])/3 + d[28]/3 + d[29]/3 + 
       (4*d[30])/3 - (16*d[31])/3 - (8*d[32])/3 - (8*d[33])/3 + 8*d[34] - 
       (2*d[35])/3 - 24*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + (2*d[2] + 19*d[5] + 7*d[7] + 14*d[8] + 
       (22*d[9])/3 + (19*d[10])/3 + (25*d[11])/3 + 14*d[13] - 17*d[16] + 
       4*d[19] + 2*d[21] + 2*d[22] - 46*d[24] - d[27] + 2*d[28] + 2*d[33] - 
       2*d[34])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-2*d[2] - 8*d[5] - (11*d[7])/2 - (3*d[8])/2 - (23*d[9])/6 + 
       (11*d[10])/3 - (13*d[11])/3 + 3*d[12] - 2*d[13] - (13*d[20])/2 - 
       3*d[23] - (5*d[24])/2 - d[28])*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - v] + ((3*d[8])/2 + 2*d[9] + 4*d[10] + d[11]/2 - 
       10*d[16] - d[17]/2 + d[18]/2 + d[19]/2 - d[21] + (3*d[22])/2 - 
       11*d[24] - d[27]/2 - d[29] - d[33] + d[34] - d[35])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v] + (-2*d[5] + 4*d[6] + 12*d[7] + 7*d[8] - 
       16*d[9] - 13*d[11] + 4*d[15] + 20*d[16] + 4*d[17] - 4*d[18] - 
       9*d[19] - (5*d[20])/2 + 4*d[21] - 17*d[22] + 3*d[23] - (31*d[24])/2 + 
       d[25] - d[27] + d[29] + 8*d[33] - 8*d[34] - 2*d[35])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-10*d[5] - 2*d[7] - 3*d[8] - 7*d[10] + 5*d[11] - 4*d[15] + 8*d[16] + 
       3*d[19] + (5*d[20])/2 + 4*d[21] + 3*d[22] - 3*d[23] + (23*d[24])/2 - 
       d[25] + d[27] + d[29] + 2*d[35])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + (6*d[3] + (31*d[4])/6 + (19*d[5])/4 + 
       (37*d[6])/3 + (21*d[7])/2 - (155*d[8])/12 + (115*d[9])/12 - 
       (83*d[10])/12 - (35*d[11])/3 - (7*d[12])/6 - (47*d[13])/3 + 
       (11*d[14])/3 + (47*d[15])/6 + (80*d[16])/3 - (3*d[17])/4 - 
       (209*d[18])/12 - (167*d[19])/12 - (31*d[20])/4 - 10*d[21] - 
       (43*d[22])/4 - d[23]/2 + (511*d[24])/12 - (19*d[26])/6 - d[27]/12 - 
       d[29]/4 - (8*d[31])/3 - (11*d[32])/6 - (19*d[33])/6 + (16*d[34])/3 - 
       22*d[36])*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     ((-20*d[3])/3 + 12*d[4] - 11*d[5] - (17*d[6])/3 - (11*d[7])/6 + 
       (179*d[8])/6 - (23*d[9])/2 + 6*d[10] - 9*d[11] - d[12]/3 + 
       (68*d[13])/3 - (40*d[14])/3 - (26*d[15])/3 - 29*d[16] + 12*d[17] + 
       (13*d[18])/3 + 23*d[19] + (73*d[20])/3 - (26*d[21])/3 + (67*d[22])/3 + 
       2*d[23] - (293*d[24])/6 + (11*d[26])/3 + d[28]/3 + d[29]/3 + 
       (4*d[30])/3 - 2*d[31] - d[32] + (2*d[33])/3 + (4*d[34])/3 - 
       (2*d[35])/3 + 26*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w] + ((-11*d[7])/2 - (3*d[8])/2 - d[9]/2 + 
       (5*d[10])/2 + 3*d[11] + 3*d[12] - 2*d[13] - (13*d[20])/2 - 3*d[23] - 
       (5*d[24])/2 - d[28])*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-2*d[2] + 4*d[3] - 7*d[4] + (13*d[5])/2 + (9*d[6])/2 - 2*d[7] - 
       11*d[8] + (47*d[9])/6 - (11*d[10])/3 + (37*d[11])/3 + 3*d[12] + 
       6*d[13] + 6*d[14] + 2*d[15] + 16*d[16] - 4*d[17] - 2*d[18] - 7*d[19] - 
       (3*d[20])/2 + 7*d[21] - 8*d[22] + d[23] + (35*d[24])/2 - (3*d[26])/2 + 
       d[27] + d[29]/2 + d[33] - d[34] + d[35] - 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-2*d[2] + 3*d[5] + 11*d[7] + 20*d[8] + 4*d[9] + 6*d[10] + d[11] + 
       14*d[13] - 17*d[16] + 4*d[19] + 2*d[21] + 2*d[22] - 46*d[24] - d[27] + 
       2*d[28] + 2*d[33] - 2*d[34])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + (2*d[2] - 7*d[5] - d[7]/2 - (9*d[8])/2 + 
       (9*d[9])/2 + d[10] - d[11] - 3*d[12] - 12*d[13] + (13*d[20])/2 + 
       3*d[23] + (37*d[24])/2 - d[28])*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - w] + ((15*d[5])/2 + d[6] - (3*d[7])/2 + 
       (3*d[8])/2 + d[9] + d[10] - (3*d[11])/2 - 10*d[16] - d[17]/2 + 
       d[18]/2 + d[19]/2 - d[21] + (3*d[22])/2 - 11*d[24] + d[25]/2 - d[29] - 
       d[33] + d[34] - d[35])*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (3*d[5] + 3*d[7] + 4*d[8] - 12*d[9] - 11*d[10] - d[11] - 4*d[15] + 
       8*d[16] + 3*d[19] + (5*d[20])/2 + 4*d[21] + 3*d[22] - 3*d[23] + 
       (23*d[24])/2 - d[25] + d[27] + d[29] + 2*d[35])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w] + (-13*d[5] + 4*d[6] + 5*d[7] - 2*d[8] - 
       6*d[9] + 6*d[10] + 15*d[11] + 4*d[15] + 20*d[16] + 4*d[17] - 4*d[18] - 
       9*d[19] - (5*d[20])/2 + 4*d[21] - 17*d[22] + 3*d[23] - (31*d[24])/2 + 
       d[25] - d[27] + d[29] + 8*d[33] - 8*d[34] - 2*d[35])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-6*d[3] + 10*d[4] + (3*d[5])/2 - 4*d[6] - (9*d[7])/4 + (41*d[8])/4 - 
       (13*d[9])/4 + 8*d[10] - 10*d[11] + (13*d[12])/2 - d[13] - 8*d[14] - 
       d[15] - (13*d[16])/2 + 3*d[17] + 11*d[18] + (19*d[19])/2 - 
       (27*d[20])/4 - 18*d[21] + (33*d[22])/2 - (15*d[23])/2 - (47*d[24])/2 + 
       2*d[26] - (7*d[27])/2 - d[31] - d[32]/2 - 7*d[33] + 8*d[34] + 
       21*d[36])*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-15*d[5] - 11*d[6] - (21*d[7])/2 + (11*d[8])/2 - (11*d[9])/2 + 
       20*d[10] - 7*d[11] - d[12]/2 + 22*d[13] - 4*d[14] - 20*d[15] - 
       28*d[16] + 12*d[17] - 8*d[18] + 30*d[19] + (15*d[20])/2 + 18*d[21] + 
       24*d[22] + 3*d[23] - 14*d[24] + d[26] + 2*d[27] - 2*d[31] - d[32] + 
       4*d[33] - 2*d[34] + 6*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + (-3*d[7] - 3*d[8] + 5*d[9] - d[10] - 
       d[11]/4 - (9*d[12])/4 + 6*d[13] + (9*d[23])/4 - 9*d[24])*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (12*d[3] - 12*d[4] - (3*d[5])/2 - d[6] + 6*d[7] - 7*d[8] + d[9] + 
       4*d[10] + d[11] - (5*d[12])/2 - 4*d[13] + 4*d[14] - 10*d[15] + 
       13*d[16] + 6*d[17] - 22*d[18] + 7*d[19] - 15*d[20] + 18*d[21] + 
       3*d[22] + 6*d[23] + 47*d[24] - d[26] + d[27] - 4*d[31] - 2*d[32] + 
       2*d[33] + 2*d[34] - 24*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u] + (2*d[7] + 2*d[8] + d[9] + 5*d[11] + 
       6*d[12] - 12*d[13] - 6*d[23] + 20*d[24])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-4*d[9] + 2*d[10] - 4*d[11] - (9*d[12])/4 + 6*d[13] + (9*d[23])/4 - 
       9*d[24])*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-2*d[3] + 2*d[4] + 6*d[6] + 6*d[7] + 6*d[8] - 6*d[9] - 6*d[10] - 
       (9*d[11])/2 + (9*d[15])/2 + 6*d[17] - (5*d[19])/2 - (9*d[21])/2 - 
       d[22]/2 + (3*d[23])/2 - 6*d[24])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + (2*d[3] - 2*d[4] + 6*d[6] - (3*d[11])/2 - 
       3*d[12] + (9*d[15])/2 + 6*d[17] - (5*d[19])/2 - (9*d[21])/2 - 
       d[22]/2 + (3*d[23])/2 - 6*d[24])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u] + ((-3*d[2])/2 + 12*d[3] - (15*d[4])/2 + 
       (9*d[5])/4 - (3*d[6])/2 + 12*d[7] - 12*d[8] + (21*d[9])/4 - 15*d[10] + 
       (9*d[11])/4 + 21*d[12] - (63*d[13])/2 - (3*d[14])/2 - 9*d[15] + 
       (213*d[16])/4 - (99*d[17])/4 + (159*d[18])/4 - 3*d[19] - 
       (87*d[20])/2 - 3*d[21] + (3*d[22])/2 + 3*d[23] + 87*d[24] + 3*d[26] - 
       (15*d[27])/2 - 6*d[31] - 3*d[32] - (3*d[33])/2 + (15*d[34])/2 - 
       18*d[36])*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     (3*d[3] + d[4] - 12*d[5] - (11*d[6])/2 + (21*d[7])/4 + (41*d[8])/4 - 
       (55*d[9])/4 + 2*d[10] - (47*d[11])/2 - (17*d[12])/2 + 8*d[13] - 
       5*d[14] - (17*d[15])/2 - (25*d[16])/2 + (15*d[17])/2 - (11*d[18])/2 + 
       (31*d[19])/2 + (27*d[20])/4 + (33*d[22])/2 + (15*d[23])/2 - 
       (17*d[24])/2 + d[26]/2 - 2*d[27] - 4*d[31] - 2*d[32] - d[33] + 
       5*d[34] + 3*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v] + (-3*d[7] - 3*d[8] + 7*d[9] + d[10] + 
       4*d[11] - 3*d[24])*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-6*d[3] + 6*d[4] - 3*d[5] - 9*d[6] - 22*d[7] + 12*d[8] - 2*d[9] + 
       (47*d[10])/2 + 10*d[11] + 15*d[12] + 10*d[13] - 5*d[14] - 15*d[15] - 
       22*d[16] + 9*d[17] + 3*d[18] + 24*d[19] + 6*d[20] + 6*d[21] + 
       24*d[22] - 8*d[23] - (47*d[24])/2 + 3*d[26] + 3*d[27] - d[28] - 
       4*d[30] + 18*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + (-3*d[7] - 3*d[8] - d[9] + 5*d[10] - 
       4*d[11] + 6*d[13] + 3*d[24])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + ((3*d[5])/2 + 6*d[7] + 6*d[8] - 6*d[9] - 
       6*d[10] - 6*d[13])*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((27*d[7])/4 - (9*d[8])/2 - (39*d[9])/4 - 3*d[10] - (45*d[11])/4 - 
       (9*d[12])/2 - 9*d[13] + (69*d[16])/4 - (15*d[19])/4 + (51*d[20])/4 - 
       (3*d[21])/2 - (9*d[22])/4 + (9*d[23])/2 + (117*d[24])/4 - 
       (3*d[27])/4 - (3*d[28])/2 - 6*d[30] - (3*d[33])/2 + (3*d[34])/2)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-3*d[5] + 12*d[7] + (45*d[8])/2 - 15*d[9] + (55*d[10])/2 - 
       (21*d[11])/2 - (45*d[16])/2 + (9*d[19])/2 + 3*d[21] + (3*d[22])/2 - 
       47*d[24] + (3*d[27])/2 + 3*d[33] - 3*d[34])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v] + (-6*d[5] + 12*d[7] + (33*d[8])/2 - 18*d[9] - 
       6*d[10] - (33*d[11])/2 - (33*d[16])/2 + (3*d[19])/2 + 3*d[21] - 
       (3*d[22])/2 - (15*d[24])/2 + (3*d[27])/2 + 3*d[33] - 3*d[34])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((-7*d[2])/2 - d[3]/2 + 10*d[4] - (57*d[5])/4 - (109*d[6])/4 + 
       (11*d[8])/4 - (31*d[9])/4 + 8*d[10] + (23*d[11])/4 + 23*d[12] - 
       (11*d[13])/2 - (19*d[14])/2 - 19*d[15] + (49*d[16])/4 - (75*d[17])/4 + 
       (215*d[18])/4 + 20*d[19] - 21*d[20] - 3*d[21] + (45*d[22])/2 + 
       26*d[24] + (11*d[26])/4 - (17*d[27])/4 - 4*d[31] - 2*d[32] + d[33]/2 + 
       (7*d[34])/2 + 12*d[36])*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((13*d[2])/3 + 6*d[3] - 4*d[4] - 3*d[5] - 2*d[6] - 4*d[7] - 20*d[8] + 
       8*d[9] + 11*d[10] - 13*d[11] + (5*d[12])/2 - 16*d[13] + 3*d[14] - 
       5*d[15] + 19*d[16] + 3*d[17] - 11*d[18] + d[19] - (33*d[20])/2 + 
       6*d[21] + 3*d[22] - 5*d[23] + (75*d[24])/2 - 2*d[26] - 4*d[27] - 
       d[28] - 4*d[30] - 2*d[31] - d[32] - 2*d[33] + 4*d[34] - 12*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (2*d[9] - 4*d[10] + 2*d[11] - 6*d[13])*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - w] + (-4*d[2] + 3*d[3] - 2*d[4] - (9*d[5])/2 - 
       4*d[6] + (9*d[7])/4 + (65*d[8])/4 - (35*d[9])/4 + 7*d[10] - 2*d[11] - 
       (11*d[12])/2 + 8*d[13] - 5*d[14] - (17*d[15])/2 - (25*d[16])/2 + 
       (15*d[17])/2 - (11*d[18])/2 + (31*d[19])/2 + (27*d[20])/4 + 
       (33*d[22])/2 + (15*d[23])/2 - (17*d[24])/2 + 2*d[26] + d[27] - 
       4*d[31] - 2*d[32] - d[33] + 5*d[34] + 3*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (-3*d[7] - 3*d[8] + 5*d[9] + 8*d[10] + 2*d[11] + 6*d[13] + 3*d[24])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (3*d[7] + 3*d[8] - 7*d[9] - 4*d[10] - 4*d[11] - 3*d[24])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w] + 
     (d[1] + 6*d[2] - (33*d[5])/4 - (5*d[7])/2 - (63*d[8])/4 + (57*d[9])/4 - 
       (3*d[10])/4 + (39*d[11])/4 - (9*d[12])/2 - 9*d[13] + (69*d[16])/4 - 
       (15*d[19])/4 + (51*d[20])/4 - (3*d[21])/2 - (9*d[22])/4 + 
       (9*d[23])/2 + (117*d[24])/4 - (3*d[27])/4 - (3*d[28])/2 - 6*d[30] - 
       (3*d[33])/2 + (3*d[34])/2)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w] + (4*d[1] - (9*d[5])/2 - (19*d[7])/2 - 
       9*d[8] + 12*d[9] + (39*d[10])/2 + (27*d[11])/2 - (33*d[16])/2 + 
       (3*d[19])/2 + 3*d[21] - (3*d[22])/2 - (15*d[24])/2 + (3*d[27])/2 + 
       3*d[33] - 3*d[34])*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (-d[1] + (21*d[5])/2 - (3*d[7])/2 + 29*d[8] - 29*d[9] + (51*d[10])/2 + 
       (15*d[11])/2 - (45*d[16])/2 + (9*d[19])/2 + 3*d[21] + (3*d[22])/2 - 
       47*d[24] + (3*d[27])/2 + 3*d[33] - 3*d[34])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w] + (-4*d[3] + (4*d[4])/3 + 7*d[5] + 
       (14*d[6])/3 + d[7]/2 - (17*d[8])/6 + (19*d[9])/6 - (16*d[10])/3 + 
       (26*d[11])/3 - d[12]/3 - (34*d[13])/3 + (16*d[14])/3 + (14*d[15])/3 + 
       (13*d[16])/3 - 4*d[17] + (8*d[18])/3 - (25*d[19])/3 - (13*d[20])/2 + 
       4*d[21] - 9*d[22] - d[23] - (7*d[24])/3 - (4*d[26])/3 + (4*d[27])/3 + 
       (14*d[31])/3 + (7*d[32])/3 + (2*d[33])/3 - (16*d[34])/3 - 2*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     (-8*d[5] + 2*d[7] + 2*d[8] - (14*d[9])/3 - (8*d[10])/3 - (8*d[11])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     (8*d[5] - 2*d[7] - 2*d[8] + (14*d[9])/3 + (8*d[10])/3 + (8*d[11])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     (-4*d[3] - (2*d[4])/3 + 7*d[5] + (14*d[6])/3 + d[7]/2 - (17*d[8])/6 + 
       (19*d[9])/6 - (16*d[10])/3 + (26*d[11])/3 - d[12]/3 - (34*d[13])/3 + 
       (16*d[14])/3 + (14*d[15])/3 + (13*d[16])/3 - 4*d[17] + (8*d[18])/3 - 
       (19*d[19])/3 - (13*d[20])/2 + 4*d[21] - 13*d[22] - d[23] - 
       (7*d[24])/3 - (4*d[26])/3 + (4*d[27])/3 + (14*d[31])/3 + (7*d[32])/3 + 
       (2*d[33])/3 - (16*d[34])/3 - 2*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1}, 1 - v] + (8*d[1] + 2*d[7] + 2*d[8] - (14*d[9])/3 - 
       (8*d[10])/3 - (8*d[11])/3 - 8*d[22])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1}, 1 - v] + (-8*d[1] - 2*d[7] - 2*d[8] + 
       (14*d[9])/3 + (8*d[10])/3 + (8*d[11])/3 + 8*d[22])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - v] + (-4*d[3] - (2*d[4])/3 + 7*d[5] + 
       (14*d[6])/3 + d[7]/2 - (17*d[8])/6 + (19*d[9])/6 - (16*d[10])/3 + 
       (38*d[11])/3 - d[12]/3 - (34*d[13])/3 + (16*d[14])/3 + (14*d[15])/3 + 
       (13*d[16])/3 - 4*d[17] + (8*d[18])/3 - (19*d[19])/3 - (13*d[20])/2 + 
       4*d[21] - 13*d[22] - d[23] - (7*d[24])/3 - (4*d[26])/3 + (4*d[27])/3 + 
       (14*d[31])/3 + (7*d[32])/3 + (2*d[33])/3 - (16*d[34])/3 - 2*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     (-8*d[3] + 8*d[4] + 2*d[7] + 2*d[8] - (14*d[9])/3 - (8*d[10])/3 - 
       (8*d[11])/3 + 8*d[22])*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     (8*d[3] - 8*d[4] - 2*d[7] - 2*d[8] + (14*d[9])/3 + (8*d[10])/3 + 
       (8*d[11])/3 - 8*d[22])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     (20*d[3] - (20*d[4])/3 - 35*d[5] - (70*d[6])/3 - (5*d[7])/2 + 
       (85*d[8])/6 - (95*d[9])/6 + (80*d[10])/3 - (130*d[11])/3 + 
       (5*d[12])/3 + (170*d[13])/3 - (80*d[14])/3 - (70*d[15])/3 - 
       (65*d[16])/3 + 20*d[17] - (40*d[18])/3 + (125*d[19])/3 + 
       (65*d[20])/2 - 20*d[21] + 45*d[22] + 5*d[23] + (35*d[24])/3 + 
       (20*d[26])/3 - (20*d[27])/3 - (70*d[31])/3 - (35*d[32])/3 - 
       (10*d[33])/3 + (80*d[34])/3 + 10*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1}, 1 - u] + (2*d[2] - 6*d[5] - 6*d[7] - 6*d[8] + 
       (130*d[9])/3 + (64*d[10])/3 + (76*d[11])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - u] + (-2*d[2] + 6*d[5] + 6*d[7] + 6*d[8] - 
       (130*d[9])/3 - (64*d[10])/3 - (76*d[11])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - u] + (-2*d[2] + 15*d[3] - (47*d[4])/3 - 
       30*d[5] - (137*d[6])/6 - (21*d[7])/2 + d[8]/6 + (91*d[9])/6 + 
       (146*d[10])/3 - (118*d[11])/3 - (49*d[12])/3 + (170*d[13])/3 - 
       (62*d[14])/3 - (58*d[15])/3 - (193*d[16])/6 + (43*d[17])/2 - 
       (167*d[18])/6 + (152*d[19])/3 + (53*d[20])/2 - 43*d[21] + 40*d[22] + 
       5*d[23] + (223*d[24])/6 + (61*d[26])/6 - (20*d[27])/3 - (52*d[31])/3 - 
       (32*d[32])/3 - (52*d[33])/3 + (101*d[34])/3 + 3*d[35] + 4*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     (12*d[3] - 12*d[4] - 2*d[7] - 2*d[8] + (22*d[9])/3 + (130*d[10])/3 + 
       (232*d[11])/3 + 12*d[12] + 4*d[23] - 8*d[24] - 6*d[25] + 6*d[35] - 
       36*d[36])*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     (-12*d[3] + 12*d[4] + 2*d[7] + 2*d[8] - (22*d[9])/3 - (130*d[10])/3 - 
       (232*d[11])/3 - 12*d[12] - 4*d[23] + 8*d[24] + 6*d[25] - 6*d[35] + 
       36*d[36])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     (14*d[3] - (14*d[4])/3 - 20*d[5] - (115*d[6])/3 - (25*d[7])/2 + 
       (169*d[8])/6 + (13*d[9])/6 + (137*d[10])/3 - (173*d[11])/6 + 
       (125*d[12])/3 + (170*d[13])/3 - (62*d[14])/3 - (58*d[15])/3 - 
       (193*d[16])/6 + (43*d[17])/2 - (167*d[18])/6 + (152*d[19])/3 + 
       (53*d[20])/2 - 43*d[21] + 40*d[22] + 5*d[23] + (223*d[24])/6 + 
       (17*d[26])/3 - (32*d[27])/3 - (52*d[31])/3 - (32*d[32])/3 - 
       (52*d[33])/3 + (101*d[34])/3 + 3*d[35] + 4*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1}, 1 - w] + (-12*d[3] + 12*d[4] - 6*d[5] - 52*d[7] - 
       64*d[8] + (178*d[9])/3 + (178*d[10])/3 - (2*d[11])/3 - 24*d[12] - 
       4*d[23] + 8*d[24] - 6*d[35] + 36*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - w] + (12*d[3] - 12*d[4] + 6*d[5] + 52*d[7] + 
       64*d[8] - (178*d[9])/3 - (178*d[10])/3 + (2*d[11])/3 + 24*d[12] + 
       4*d[23] - 8*d[24] + 6*d[35] - 36*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - w] + (10*d[3] - 2*d[4] - 19*d[5] - 12*d[6] - 
       d[7] + 8*d[8] - 9*d[9] + (29*d[10])/2 - 25*d[11] + d[12] + 28*d[13] - 
       16*d[14] - 13*d[15] - 10*d[16] + 13*d[17] - 7*d[18] + 23*d[19] + 
       14*d[20] - 12*d[21] + 25*d[22] + 2*d[23] + 8*d[24] + 4*d[26] - 
       4*d[27] - 12*d[31] - 6*d[32] - 2*d[33] + 14*d[34] + 6*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     ((5*d[2])/2 - 2*d[5] - 4*d[7] - 4*d[8] + 19*d[9] + (19*d[10])/2 + 
       13*d[11])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     ((-5*d[2])/2 + 2*d[5] + 4*d[7] + 4*d[8] - 19*d[9] - (19*d[10])/2 - 
       13*d[11])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     (d[2]/2 + (13*d[3])/2 - 4*d[4] - (41*d[5])/2 - (25*d[6])/2 - 4*d[7] + 
       (9*d[8])/2 + 2*d[9] + (51*d[10])/2 - (109*d[11])/4 - (9*d[12])/2 + 
       (65*d[13])/2 - (25*d[14])/2 - 12*d[15] - (35*d[16])/2 + (45*d[17])/4 - 
       (47*d[18])/4 + 29*d[19] + 16*d[20] - (43*d[21])/2 + (45*d[22])/2 + 
       (5*d[23])/2 + (35*d[24])/4 + 5*d[26] - 4*d[27] + d[29]/4 - 9*d[31] - 
       (11*d[32])/2 - (15*d[33])/2 + 16*d[34] + d[35] + 6*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v] + 
     (4*d[3] - 4*d[4] - 2*d[7] - 2*d[8] + 2*d[9] + 21*d[10] + 28*d[11] + 
       4*d[12] + 4*d[23] - 9*d[24] - 2*d[25] + 2*d[35] - 12*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v] + 
     (-4*d[3] + 4*d[4] + 2*d[7] + 2*d[8] - 2*d[9] - 21*d[10] - 28*d[11] - 
       4*d[12] - 4*d[23] + 9*d[24] + 2*d[25] - 2*d[35] + 12*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v] + 
     (6*d[3] - (3*d[4])/2 - (25*d[5])/2 - (89*d[6])/4 - 8*d[7] + 
       (29*d[8])/2 - (5*d[9])/2 + (95*d[10])/4 - 17*d[11] + 19*d[12] + 
       (65*d[13])/2 - (25*d[14])/2 - 12*d[15] - (35*d[16])/2 + (45*d[17])/4 - 
       (47*d[18])/4 + 29*d[19] + 16*d[20] - (43*d[21])/2 + (45*d[22])/2 + 
       (5*d[23])/2 + (35*d[24])/4 + (17*d[26])/4 - 5*d[27] + d[29]/4 - 
       9*d[31] - (11*d[32])/2 - (15*d[33])/2 + 16*d[34] + d[35] + 6*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w] + 
     (-4*d[3] + 4*d[4] - 2*d[5] - 24*d[7] - 28*d[8] + 30*d[9] + 22*d[10] + 
       2*d[11] - 8*d[12] - 4*d[23] + 9*d[24] - 2*d[35] + 12*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w] + 
     (4*d[3] - 4*d[4] + 2*d[5] + 24*d[7] + 28*d[8] - 30*d[9] - 22*d[10] - 
       2*d[11] + 8*d[12] + 4*d[23] - 9*d[24] + 2*d[35] - 12*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w] + 
     (36*d[3] - 4*d[4] - 57*d[5] - 26*d[6] + (15*d[7])/2 + (47*d[8])/2 - 
       (61*d[9])/2 + 52*d[10] - 74*d[11] + 19*d[12] + 70*d[13] - 16*d[14] - 
       38*d[15] - 19*d[16] + 60*d[17] - 56*d[18] + 55*d[19] + (9*d[20])/2 - 
       36*d[21] + 45*d[22] - 3*d[23] + 37*d[24] + 16*d[26] - 10*d[27] - 
       26*d[31] - 13*d[32] + 10*d[33] + 16*d[34] - 30*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - u] + (-12*d[7] - 12*d[8] + 32*d[9] - 4*d[10] + 
       50*d[11] + 18*d[12])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     (12*d[7] + 12*d[8] - 32*d[9] + 4*d[10] - 50*d[11] - 18*d[12])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     ((-21*d[3])/2 + (79*d[4])/2 - 39*d[5] - (95*d[6])/4 + (45*d[7])/2 + 
       (191*d[8])/2 - 83*d[9] + 61*d[10] - (203*d[11])/4 + 46*d[12] + 
       55*d[13] - (95*d[14])/2 - (179*d[15])/4 - 31*d[16] + (195*d[17])/4 - 
       (23*d[18])/4 + (161*d[19])/2 - 24*d[20] - 21*d[21] + (153*d[22])/2 - 
       18*d[23] - 155*d[24] + (43*d[26])/4 - 13*d[27] + 3*d[29] - 
       (19*d[31])/2 - (19*d[32])/4 + 4*d[33] + (11*d[34])/2 - (9*d[35])/2 + 
       60*d[36])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     (-6*d[7] - 6*d[8] + 14*d[9] + 44*d[10] - 16*d[11] + 72*d[13] - 
       114*d[24] + 6*d[28])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     (6*d[7] + 6*d[8] - 14*d[9] - 44*d[10] + 16*d[11] - 72*d[13] + 
       114*d[24] - 6*d[28])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     (15*d[2] - (21*d[3])/2 + 32*d[4] - 63*d[5] - (97*d[6])/2 + 70*d[8] - 
       71*d[9] + (113*d[10])/2 - 74*d[11] + 16*d[12] + 55*d[13] - 
       (95*d[14])/2 - (179*d[15])/4 - 31*d[16] + (195*d[17])/4 - 
       (23*d[18])/4 + (161*d[19])/2 - 24*d[20] - 21*d[21] + (153*d[22])/2 - 
       18*d[23] - 155*d[24] + (29*d[26])/2 - (23*d[27])/2 + 3*d[29] - 
       (19*d[31])/2 - (19*d[32])/4 + 4*d[33] + (11*d[34])/2 - (9*d[35])/2 + 
       60*d[36])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w] + 
     (12*d[2] - 72*d[5] - 20*d[7] - 60*d[8] + 68*d[9] - 16*d[10] - 16*d[11] - 
       72*d[13] + 114*d[24] - 6*d[28])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - w] + (-12*d[2] + 72*d[5] + 20*d[7] + 60*d[8] - 
       68*d[9] + 16*d[10] + 16*d[11] + 72*d[13] - 114*d[24] + 6*d[28])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w] + 
     (10*d[3] - (2*d[4])/3 - (31*d[5])/2 - (19*d[6])/3 + (11*d[7])/4 + 
       (77*d[8])/12 - (103*d[9])/12 + (44*d[10])/3 - (61*d[11])/3 + 
       (37*d[12])/6 + (53*d[13])/3 - (8*d[14])/3 - (31*d[15])/3 - 
       (25*d[16])/6 + 18*d[17] - (52*d[18])/3 + (85*d[19])/6 - (7*d[20])/4 - 
       10*d[21] + (21*d[22])/2 - (3*d[23])/2 + (67*d[24])/6 + (14*d[26])/3 - 
       (8*d[27])/3 - (19*d[31])/3 - (19*d[32])/6 + (11*d[33])/3 + 
       (8*d[34])/3 - 11*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     (-5*d[7] - 5*d[8] + (59*d[9])/6 - (2*d[10])/3 + (101*d[11])/6 + 6*d[12])*
      HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     (5*d[7] + 5*d[8] - (59*d[9])/6 + (2*d[10])/3 - (101*d[11])/6 - 6*d[12])*
      HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     ((-11*d[3])/2 + (83*d[4])/6 - (19*d[5])/2 - (91*d[6])/12 + (23*d[7])/4 + 
       (341*d[8])/12 - (289*d[9])/12 + (115*d[10])/6 - (127*d[11])/12 + 
       (44*d[12])/3 + (73*d[13])/6 - (38*d[14])/3 - (175*d[15])/12 - 
       (49*d[16])/6 + (49*d[17])/4 - (7*d[18])/12 + (74*d[19])/3 - 
       (47*d[20])/4 - 3*d[21] + 23*d[22] - (13*d[23])/2 - (154*d[24])/3 + 
       (35*d[26])/12 - (11*d[27])/3 + d[29] - (5*d[31])/6 - (5*d[32])/12 + 
       (5*d[33])/3 - (5*d[34])/6 - (3*d[35])/2 + 19*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + (-5*d[7] - 5*d[8] + (19*d[9])/3 + 
       (49*d[10])/3 - (8*d[11])/3 + 24*d[13] - 39*d[24] + 2*d[28])*
      HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v] + 
     (5*d[7] + 5*d[8] - (19*d[9])/3 - (49*d[10])/3 + (8*d[11])/3 - 24*d[13] + 
       39*d[24] - 2*d[28])*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v] + 
     (5*d[2] - (11*d[3])/2 + (34*d[4])/3 - (35*d[5])/2 - (46*d[6])/3 + 
       d[7]/4 + (269*d[8])/12 - (271*d[9])/12 + (97*d[10])/6 - (61*d[11])/3 + 
       (31*d[12])/6 + (73*d[13])/6 - (38*d[14])/3 - (175*d[15])/12 - 
       (49*d[16])/6 + (49*d[17])/4 - (7*d[18])/12 + (74*d[19])/3 - 
       (47*d[20])/4 - 3*d[21] + 23*d[22] - (13*d[23])/2 - (154*d[24])/3 + 
       (25*d[26])/6 - (19*d[27])/6 + d[29] - (5*d[31])/6 - (5*d[32])/12 + 
       (5*d[33])/3 - (5*d[34])/6 - (3*d[35])/2 + 19*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - w] + (4*d[2] - 24*d[5] - 7*d[7] - 23*d[8] + 
       (73*d[9])/3 - (8*d[10])/3 - (8*d[11])/3 - 24*d[13] + 39*d[24] - 
       2*d[28])*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w] + 
     (-4*d[2] + 24*d[5] + 7*d[7] + 23*d[8] - (73*d[9])/3 + (8*d[10])/3 + 
       (8*d[11])/3 + 24*d[13] - 39*d[24] + 2*d[28])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - w] + 4*d[4]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - u] - 4*d[4]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - u] + (18*d[7] + 18*d[8] - 18*d[9] - d[10] + 
       18*d[11] + 18*d[12] - 6*d[14] - 30*d[20] - 30*d[23] - 6*d[24])*
      HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v] + 
     (6*d[2] + 18*d[12] - 6*d[14] - 30*d[20] - 30*d[23] - 6*d[24])*
      HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w] + 
     (4*d[1] + 8*d[3] - 8*d[4] - 12*d[5] - 4*d[7] + 24*d[8] - 20*d[9] + 
       24*d[11] + 6*d[16] + 8*d[19] - 12*d[21] + 12*d[22] - 6*d[24] + 
       12*d[34])*HPL[{0, 0, 0, 0, 1, 1}, 1 - v] + 
     (-8*d[3] + 8*d[4] + 12*d[9] + 24*d[10] - 20*d[11] + 6*d[16] + 8*d[19] - 
       12*d[21] + 12*d[22] - 6*d[24] + 12*d[34])*HPL[{0, 0, 0, 0, 1, 1}, 
       1 - w] + (3*d[1] - 3*d[5] - 3*d[7] + 10*d[8] - 13*d[9] + 10*d[11] + 
       (3*d[16])/2 - 3*d[21] + 3*d[22] - (11*d[24])/2 + 3*d[34])*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - v] + (3*d[9] + 10*d[10] - 13*d[11] + 
       (3*d[16])/2 - 3*d[21] + 3*d[22] - (11*d[24])/2 + 3*d[34])*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - w] + (-6*d[5] - 24*d[6] - 60*d[7] - 
       54*d[8] + 78*d[9] - 99*d[10] - 48*d[11] - 90*d[16] - 12*d[17] + 
       12*d[18] + 6*d[19] + 6*d[22] + 84*d[24] + 6*d[25] + 6*d[27] - 6*d[29])*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - v] + (66*d[5] - 60*d[7] - 45*d[8] + 
       60*d[9] + 36*d[10] - 30*d[11] - 90*d[16] - 12*d[17] + 12*d[18] + 
       6*d[19] + 6*d[22] + 84*d[24] - 6*d[25] + 3*d[27] - 6*d[29])*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - w] + (-4*d[5] - 8*d[6] - 28*d[7] - 
       25*d[8] + 40*d[9] - 41*d[10] - 11*d[11] - 33*d[16] - 4*d[17] + 
       4*d[18] + 2*d[19] + 2*d[22] + 43*d[24] + 2*d[25] + 3*d[27] - 2*d[29])*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - v] + (22*d[5] - 28*d[7] - 23*d[8] + 
       30*d[9] + 7*d[10] - 16*d[11] - 33*d[16] - 4*d[17] + 4*d[18] + 
       2*d[19] + 2*d[22] + 43*d[24] - 2*d[25] + d[27] - 2*d[29])*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - w] + (-d[5] - 8*d[7] - 7*d[8] + 12*d[9] - 
       7*d[10] + 3*d[11] - 4*d[16] + 17*d[24] + d[27])*
      HPL[{0, 0, 1, 1, 0, 1}, 1 - v] + (-10*d[7] - 9*d[8] + 11*d[9] - 
       5*d[10] - 6*d[11] - 4*d[16] + 17*d[24] + d[27])*
      HPL[{0, 0, 1, 1, 0, 1}, 1 - w] + (-108*d[7] - 108*d[8] + 108*d[9] - 
       14*d[10] + 96*d[11] + 122*d[24])*HPL[{0, 0, 1, 1, 1, 1}, 1 - v] + 
     (-4*d[1] - 60*d[5] + 24*d[7] - 32*d[8] + 32*d[9] - 108*d[10] - 
       96*d[11] + 122*d[24])*HPL[{0, 0, 1, 1, 1, 1}, 1 - w] + 
     (-27*d[7] - 27*d[8] + 27*d[9] - (7*d[10])/2 + 24*d[11] + (61*d[24])/2)*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - v] + (-3*d[1] - 15*d[5] + 8*d[7] - 8*d[8] + 
       8*d[9] - 27*d[10] - 24*d[11] + (61*d[24])/2)*HPL[{0, 1, 0, 1, 1, 1}, 
       1 - w] + (-d[2] + 2*d[3] - (8*d[4])/3 + 3*d[5] + (5*d[6])/3 + 
       (5*d[7])/4 - (43*d[8])/12 + (41*d[9])/12 - (5*d[10])/6 + 
       (11*d[11])/3 - (5*d[12])/6 - (13*d[13])/3 + (4*d[14])/3 + 
       (5*d[15])/3 + (41*d[16])/6 - d[17] - (7*d[18])/3 - (23*d[19])/6 - 
       (15*d[20])/4 - (7*d[22])/2 + d[23]/2 + (61*d[24])/6 - d[26]/3 - 
       d[27]/6 - d[31]/3 - d[32]/6 - d[33]/3 + (2*d[34])/3 - 5*d[36])*
      HPL[{1}, 1 - u]*M1[u, v, w] + (d[5] + d[7] + d[8] - (2*d[9])/3 - 
       (2*d[10])/3 + d[11]/3)*HPL[{1}, 1 - v]*M1[u, v, w] + 
     (-d[5] - d[7] - d[8] + (2*d[9])/3 + (2*d[10])/3 - d[11]/3)*
      HPL[{1}, 1 - w]*M1[u, v, w] + (-d[3] + (2*d[4])/3 - d[6]/6 - d[7] + 
       (7*d[8])/3 - (2*d[9])/3 - d[10]/6 + (7*d[11])/3 + d[12]/3 + 
       (7*d[13])/3 + (2*d[14])/3 - d[15]/6 - (23*d[16])/6 - d[17] + 
       (4*d[18])/3 + (5*d[19])/6 + 3*d[20] + d[21] + d[22]/2 - (37*d[24])/6 - 
       d[26]/6 + (2*d[27])/3 + d[31]/3 + d[32]/6 + d[33]/3 - (2*d[34])/3 + 
       2*d[36])*HPL[{1}, 1 - u]*M1[v, u, w] + 
     (-d[2] - d[9]/3 + (2*d[10])/3 - d[11]/3 + d[13])*HPL[{1}, 1 - v]*
      M1[v, u, w] + (d[2] + d[9]/3 - (2*d[10])/3 + d[11]/3 - d[13])*
      HPL[{1}, 1 - w]*M1[v, u, w] + (-d[4]/3 + (5*d[5])/2 + (11*d[6])/6 + 
       (5*d[7])/4 - (17*d[8])/12 + (19*d[9])/12 - (13*d[10])/6 + 
       (11*d[11])/6 - d[12]/6 - (11*d[13])/3 + (2*d[14])/3 + (11*d[15])/6 + 
       (11*d[16])/3 - (5*d[17])/2 + (5*d[18])/6 - (19*d[19])/6 - 
       (5*d[20])/4 + d[21] - (5*d[22])/2 + d[23]/2 + (23*d[24])/6 - 
       (7*d[26])/6 - d[27]/3 + d[31]/3 + d[32]/6 - (2*d[33])/3 + d[34]/3 - 
       d[36])*HPL[{1}, 1 - u]*M1[v, w, u] + 
     (d[7] + d[8] - (4*d[9])/3 - d[10]/3 - d[11]/3 - d[13] + d[24])*
      HPL[{1}, 1 - v]*M1[v, w, u] + (-d[7] - d[8] + (4*d[9])/3 + d[10]/3 + 
       d[11]/3 + d[13] - d[24])*HPL[{1}, 1 - w]*M1[v, w, u] + 
     (d[3] - 2*d[4] + (3*d[5])/2 + d[6]/2 + (3*d[7])/4 - (13*d[8])/4 + 
       (7*d[9])/4 - d[10] + d[11] - d[12]/2 - 2*d[13] + 2*d[14] + 
       (3*d[15])/2 + 3*d[16] - 2*d[17] - d[18] - 3*d[19] - (3*d[20])/4 + 
       d[21] - 3*d[22] + d[23]/2 + 4*d[24] - d[26]/2 - 3*d[36])*
      HPL[{1}, 1 - u]*M1[w, u, v] + (d[7] + d[8] - d[9] - d[10] - d[13])*
      HPL[{1}, 1 - v]*M1[w, u, v] + (-d[7] - d[8] + d[9] + d[10] + d[13])*
      HPL[{1}, 1 - w]*M1[w, u, v] + (-2*d[3] + d[4]/3 + d[5]/2 - (5*d[6])/6 - 
       2*d[7] + d[8]/6 + d[9]/6 - (5*d[10])/6 + (13*d[11])/6 - (4*d[12])/3 + 
       (2*d[13])/3 - (2*d[14])/3 + d[15]/6 - (19*d[16])/6 - (3*d[17])/2 + 
       (19*d[18])/6 + (2*d[19])/3 + (5*d[20])/2 + d[21] + d[22] - 
       (19*d[24])/3 + d[26]/6 + (5*d[27])/6 + (2*d[31])/3 + d[32]/3 - 
       d[33]/3 - d[34]/3 + 4*d[36])*HPL[{1}, 1 - u]*M1[w, v, u] + 
     ((-2*d[9])/3 + d[10]/3 + d[11]/3 + d[12] + d[13] - d[24])*
      HPL[{1}, 1 - v]*M1[w, v, u] + ((2*d[9])/3 - d[10]/3 - d[11]/3 - d[12] - 
       d[13] + d[24])*HPL[{1}, 1 - w]*M1[w, v, u] + 
     (d[4]/3 - d[5]/2 + d[6]/6 + (7*d[8])/6 - (5*d[9])/6 - d[10]/3 - 
       (4*d[11])/3 - d[12]/3 + (5*d[13])/3 - (2*d[14])/3 + (2*d[15])/3 - 
       (7*d[16])/6 + (2*d[18])/3 + d[19]/6 + (5*d[20])/2 - 2*d[21] + 
       d[22]/2 - (10*d[24])/3 + d[26]/6 - d[27]/6 - d[31]/3 - d[32]/6 - 
       d[33]/3 + (2*d[34])/3 + d[36])*HPL[{1}, 1 - u]*Nt[u, v, w] + 
     (d[9]/3 + d[10]/3 + d[11]/3)*HPL[{1}, 1 - v]*Nt[u, v, w] + 
     (-d[9]/3 - d[10]/3 - d[11]/3)*HPL[{1}, 1 - w]*Nt[u, v, w] + 
     ((-2*d[4])/3 - 3*d[5] - d[6]/3 - d[7] - d[8]/3 - (4*d[9])/3 - 
       (4*d[10])/3 + (5*d[11])/3 - (4*d[12])/3 + (14*d[13])/3 + (4*d[14])/3 - 
       (4*d[15])/3 - (14*d[16])/3 - (4*d[18])/3 + (2*d[19])/3 + 6*d[20] + 
       6*d[21] - 2*d[22] + 2*d[23] - (7*d[24])/3 - d[26]/3 + (4*d[27])/3 + 
       (2*d[31])/3 + d[32]/3 + (8*d[33])/3 - (10*d[34])/3 - 2*d[36])*
      HPL[{1}, 1 - u]^2*Omega2[u, v, w] + 
     ((-4*d[4])/3 + 6*d[5] + (10*d[6])/3 + (5*d[7])/2 - (31*d[8])/6 + 
       (25*d[9])/6 - (16*d[10])/3 + (14*d[11])/3 + d[12]/3 - (26*d[13])/3 + 
       (8*d[14])/3 + (16*d[15])/3 + (35*d[16])/3 - 4*d[17] + (4*d[18])/3 - 
       (29*d[19])/3 - (15*d[20])/2 - 2*d[21] - 9*d[22] - d[23] + 
       (28*d[24])/3 - (2*d[26])/3 - d[27]/3 + (4*d[31])/3 + (2*d[32])/3 - 
       (2*d[33])/3 - (2*d[34])/3 - 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      Omega2[u, v, w] + (2*d[7] + 2*d[8] - (10*d[9])/3 - (4*d[10])/3 - 
       (4*d[11])/3 - 2*d[13] + 2*d[24])*HPL[{1}, 1 - v]^2*Omega2[u, v, w] + 
     ((2*d[4])/3 - d[5] + d[6]/3 + (7*d[8])/3 - d[9] - 2*d[11] - 
       (2*d[12])/3 + (4*d[13])/3 - (4*d[14])/3 + (4*d[15])/3 - (7*d[16])/3 + 
       (4*d[18])/3 + d[19]/3 + 5*d[20] - 4*d[21] + d[22] - (14*d[24])/3 + 
       d[26]/3 - d[27]/3 - (2*d[31])/3 - d[32]/3 - (2*d[33])/3 + 
       (4*d[34])/3 + 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Omega2[u, v, w] + (-2*d[7] - 2*d[8] + 4*d[9] + 2*d[10] + 2*d[11] + 
       2*d[13] - 2*d[24])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w] + 
     ((-2*d[9])/3 - (2*d[10])/3 - (2*d[11])/3)*HPL[{1}, 1 - w]^2*
      Omega2[u, v, w] + ((2*d[4])/3 - d[5] + d[6]/3 + (7*d[8])/3 - 
       (5*d[9])/3 - (2*d[10])/3 - (8*d[11])/3 - (2*d[12])/3 + (10*d[13])/3 - 
       (4*d[14])/3 + (4*d[15])/3 - (7*d[16])/3 + (4*d[18])/3 + d[19]/3 + 
       5*d[20] - 4*d[21] + d[22] - (20*d[24])/3 + d[26]/3 - d[27]/3 - 
       (2*d[31])/3 - d[32]/3 - (2*d[33])/3 + (4*d[34])/3 + 2*d[36])*
      HPL[{1}, 1 - u]^2*Omega2[v, w, u] + 
     (-2*d[3] + (2*d[4])/3 + d[5] + d[6]/3 - 2*d[7] + (7*d[8])/3 + d[9] + 
       7*d[11] + (4*d[12])/3 + (4*d[13])/3 + (2*d[14])/3 + d[15]/3 - 
       (10*d[16])/3 - d[17] + (7*d[18])/3 - (2*d[19])/3 + 3*d[20] + 2*d[21] - 
       2*d[22] - (17*d[24])/3 + d[26]/3 + (5*d[27])/3 + (4*d[31])/3 + 
       (2*d[32])/3 + (4*d[33])/3 - (8*d[34])/3 + 2*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*Omega2[v, w, u] + ((-4*d[9])/3 + (2*d[10])/3 - 
       (4*d[11])/3 + 2*d[13])*HPL[{1}, 1 - v]^2*Omega2[v, w, u] + 
     (2*d[3] - (8*d[4])/3 + 2*d[5] + (8*d[6])/3 + (7*d[7])/2 - (47*d[8])/6 + 
       (5*d[9])/2 - 6*d[10] - (7*d[12])/3 - (22*d[13])/3 + (10*d[14])/3 + 
       (11*d[15])/3 + (31*d[16])/3 - 3*d[17] - (7*d[18])/3 - (25*d[19])/3 - 
       (9*d[20])/2 + 2*d[21] - 9*d[22] + d[23] + (44*d[24])/3 - (4*d[26])/3 - 
       (2*d[27])/3 + (2*d[31])/3 + d[32]/3 + (2*d[33])/3 - (4*d[34])/3 - 
       8*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[v, w, u] + 
     (2*d[7] + 2*d[8] - (4*d[9])/3 - (10*d[10])/3 + (2*d[11])/3 - 4*d[13])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[v, w, u] + 
     (-2*d[7] - 2*d[8] + (8*d[9])/3 + (8*d[10])/3 + (2*d[11])/3 + 2*d[13])*
      HPL[{1}, 1 - w]^2*Omega2[v, w, u] + 
     (4*d[3] - 6*d[4] + 2*d[5] + 3*d[6] + (5*d[7])/2 - (13*d[8])/2 + 
       (7*d[9])/2 - 4*d[10] + 5*d[11] - 3*d[12] - 4*d[13] + 4*d[14] + 
       2*d[15] + 9*d[16] - 2*d[17] - 6*d[18] - 7*d[19] - (3*d[20])/2 + 
       6*d[21] - 9*d[22] + 3*d[23] + 18*d[24] - d[26] + d[27] + 2*d[33] - 
       2*d[34] - 12*d[36])*HPL[{1}, 1 - u]^2*Omega2[w, u, v] + 
     ((2*d[4])/3 - d[5] + d[6]/3 + 2*d[7] + (13*d[8])/3 - (11*d[9])/3 - 
       (8*d[10])/3 - (8*d[11])/3 - (2*d[12])/3 + (4*d[13])/3 - (4*d[14])/3 + 
       (4*d[15])/3 - (7*d[16])/3 + (4*d[18])/3 + d[19]/3 + 5*d[20] - 
       4*d[21] + d[22] - (14*d[24])/3 + d[26]/3 - d[27]/3 - (2*d[31])/3 - 
       d[32]/3 - (2*d[33])/3 + (4*d[34])/3 + 2*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*Omega2[w, u, v] + ((2*d[9])/3 + (2*d[10])/3 + 
       (2*d[11])/3)*HPL[{1}, 1 - v]^2*Omega2[w, u, v] + 
     (-4*d[3] + 4*d[4] + d[5] - 3*d[7] - d[8] + 2*d[9] + 2*d[11] + 2*d[12] + 
       2*d[15] - 2*d[16] - 2*d[17] + 6*d[18] - 2*d[19] - 2*d[21] - 2*d[22] - 
       2*d[23] - 11*d[24] + 2*d[31] + d[32] - 2*d[34] + 6*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[w, u, v] + 
     ((-8*d[9])/3 - (2*d[10])/3 - (8*d[11])/3 + 2*d[13] - 2*d[24])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[w, u, v] + 
     (2*d[9] + 2*d[11] - 2*d[13] + 2*d[24])*HPL[{1}, 1 - w]^2*
      Omega2[w, u, v] + (2*d[3] - (2*d[4])/3 - (7*d[5])/2 - (7*d[6])/3 - 
       d[7]/4 + (17*d[8])/12 - (19*d[9])/12 + (8*d[10])/3 - (13*d[11])/3 + 
       d[12]/6 + (17*d[13])/3 - (8*d[14])/3 - (7*d[15])/3 - (13*d[16])/6 + 
       2*d[17] - (4*d[18])/3 + (25*d[19])/6 + (13*d[20])/4 - 2*d[21] + 
       (9*d[22])/2 + d[23]/2 + (7*d[24])/6 + (2*d[26])/3 - (2*d[27])/3 - 
       (7*d[31])/3 - (7*d[32])/6 - d[33]/3 + (8*d[34])/3 + d[36])*
      HPL[{1}, 1 - u]*Ot[u, v, w] + (-d[7] - d[8] + (7*d[9])/3 + 
       (4*d[10])/3 + (4*d[11])/3)*HPL[{1}, 1 - v]*Ot[u, v, w] + 
     (d[7] + d[8] - (7*d[9])/3 - (4*d[10])/3 - (4*d[11])/3)*HPL[{1}, 1 - w]*
      Ot[u, v, w] + d[30]*Phi6[u, v, w]^2 + 
     ((-64*d[3])/3 + (64*d[4])/9 + (32*d[5])/3 + (128*d[6])/9 - (88*d[7])/3 + 
       (152*d[8])/9 + (104*d[9])/9 - (64*d[10])/9 + (656*d[11])/9 + 
       (128*d[12])/9 - (64*d[13])/9 + (64*d[14])/9 + (224*d[15])/9 - 
       (320*d[16])/9 - (64*d[17])/3 + (320*d[18])/9 - (256*d[19])/9 + 
       24*d[20] - (128*d[22])/3 - (16*d[23])/3 - (448*d[24])/9 + 
       (32*d[26])/9 + (160*d[27])/9 + (128*d[31])/9 + (64*d[32])/9 + 
       (128*d[33])/9 - (256*d[34])/9 + (64*d[36])/3)*HPL[{1}, 1 - u]*
      Qep[u, v, w] + ((32*d[7])/3 + (32*d[8])/3 - (224*d[9])/9 + 
       (64*d[10])/9 - (128*d[11])/9 + (64*d[13])/3 - (32*d[24])/3)*
      HPL[{1}, 1 - v]*Qep[u, v, w] + ((-32*d[7])/3 - (32*d[8])/3 + 
       (224*d[9])/9 - (64*d[10])/9 + (128*d[11])/9 - (64*d[13])/3 + 
       (32*d[24])/3)*HPL[{1}, 1 - w]*Qep[u, v, w] + 
     ((64*d[3])/3 - (256*d[4])/9 + (64*d[5])/3 + (352*d[6])/9 + (88*d[7])/3 - 
       (824*d[8])/9 + (376*d[9])/9 - (320*d[10])/9 + (112*d[11])/9 - 
       (224*d[12])/9 - (896*d[13])/9 + (320*d[14])/9 + (544*d[15])/9 + 
       (992*d[16])/9 - (128*d[17])/3 - (128*d[18])/9 - (992*d[19])/9 - 
       56*d[20] - (352*d[22])/3 + (16*d[23])/3 + (1504*d[24])/9 - 
       (128*d[26])/9 - (64*d[27])/9 + (64*d[31])/9 + (32*d[32])/9 + 
       (64*d[33])/9 - (128*d[34])/9 - (256*d[36])/3)*HPL[{1}, 1 - u]*
      Qep[u, w, v] + ((64*d[7])/3 + (64*d[8])/3 - (256*d[9])/9 - 
       (256*d[10])/9 - (64*d[11])/9 - (64*d[13])/3 + (32*d[24])/3)*
      HPL[{1}, 1 - v]*Qep[u, w, v] + ((-64*d[7])/3 - (64*d[8])/3 + 
       (256*d[9])/9 + (256*d[10])/9 + (64*d[11])/9 + (64*d[13])/3 - 
       (32*d[24])/3)*HPL[{1}, 1 - w]*Qep[u, w, v] + 
     ((128*d[3])/3 - 64*d[4] + (64*d[5])/3 + 32*d[6] + (80*d[7])/3 - 
       (208*d[8])/3 + (112*d[9])/3 - 64*d[10] + (160*d[11])/3 - 32*d[12] - 
       (128*d[13])/3 + (128*d[14])/3 + (64*d[15])/3 + 96*d[16] - 
       (64*d[17])/3 - 64*d[18] - (224*d[19])/3 - 16*d[20] + 64*d[21] - 
       96*d[22] + 32*d[23] + 192*d[24] - (32*d[26])/3 + (32*d[27])/3 + 
       (64*d[33])/3 - (64*d[34])/3 - 128*d[36])*HPL[{1}, 1 - u]*
      Qep[v, u, w] + (32*d[7] + 32*d[8] - 32*d[9] - (64*d[10])/3 - 
       (64*d[13])/3)*HPL[{1}, 1 - v]*Qep[v, u, w] + 
     (-32*d[7] - 32*d[8] + 32*d[9] + (64*d[10])/3 + (64*d[13])/3)*
      HPL[{1}, 1 - w]*Qep[v, u, w] + ((-128*d[3])/3 + (128*d[4])/3 + 
       (32*d[5])/3 - (32*d[6])/3 - (8*d[7])/3 + (56*d[8])/3 - 8*d[9] - 
       (128*d[10])/3 + 16*d[11] + (64*d[12])/3 - (64*d[16])/3 - 
       (32*d[17])/3 + (160*d[18])/3 + 8*d[20] - 16*d[23] - (320*d[24])/3 + 
       (64*d[31])/3 + (32*d[32])/3 - (64*d[34])/3 + 64*d[36])*HPL[{1}, 1 - u]*
      Qep[v, w, u] + ((-64*d[9])/3 - (64*d[11])/3 + (64*d[13])/3 - 32*d[24])*
      HPL[{1}, 1 - v]*Qep[v, w, u] + ((64*d[9])/3 + (64*d[11])/3 - 
       (64*d[13])/3 + 32*d[24])*HPL[{1}, 1 - w]*Qep[v, w, u] + 
     ((-64*d[4])/9 - 32*d[5] - (32*d[6])/9 - (32*d[7])/3 - (32*d[8])/9 - 
       (128*d[9])/9 + (64*d[10])/9 + (160*d[11])/9 - (128*d[12])/9 + 
       (448*d[13])/9 + (128*d[14])/9 - (128*d[15])/9 - (448*d[16])/9 - 
       (128*d[18])/9 + (64*d[19])/9 + 64*d[20] + 64*d[21] - (64*d[22])/3 + 
       (64*d[23])/3 - (224*d[24])/9 - (32*d[26])/9 + (128*d[27])/9 + 
       (64*d[31])/9 + (32*d[32])/9 + (256*d[33])/9 - (320*d[34])/9 - 
       (64*d[36])/3)*HPL[{1}, 1 - u]*Qep[w, u, v] + 
     ((-32*d[7])/3 - (32*d[8])/3 + (32*d[9])/9 - (64*d[10])/9 - 
       (64*d[11])/9 + (64*d[13])/3)*HPL[{1}, 1 - v]*Qep[w, u, v] + 
     ((32*d[7])/3 + (32*d[8])/3 - (32*d[9])/9 + (64*d[10])/9 + (64*d[11])/9 - 
       (64*d[13])/3)*HPL[{1}, 1 - w]*Qep[w, u, v] + 
     ((-128*d[4])/9 + 64*d[5] + (224*d[6])/9 + (104*d[7])/3 - (424*d[8])/9 + 
       (392*d[9])/9 - (448*d[10])/9 + (464*d[11])/9 + (32*d[12])/9 - 
       (832*d[13])/9 + (256*d[14])/9 + (320*d[15])/9 + (1120*d[16])/9 - 
       32*d[17] + (32*d[18])/9 - (736*d[19])/9 - 72*d[20] - (224*d[22])/3 - 
       (16*d[23])/3 + (992*d[24])/9 - (64*d[26])/9 - (32*d[27])/9 + 
       (128*d[31])/9 + (64*d[32])/9 - (64*d[33])/9 - (64*d[34])/9 - 
       (128*d[36])/3)*HPL[{1}, 1 - u]*Qep[w, v, u] + 
     ((32*d[7])/3 + (32*d[8])/3 - (224*d[9])/9 - (128*d[10])/9 - 
       (128*d[11])/9 - (64*d[13])/3 + 32*d[24])*HPL[{1}, 1 - v]*
      Qep[w, v, u] + ((-32*d[7])/3 - (32*d[8])/3 + (224*d[9])/9 + 
       (128*d[10])/9 + (128*d[11])/9 + (64*d[13])/3 - 32*d[24])*
      HPL[{1}, 1 - w]*Qep[w, v, u] + (-d[3] + (5*d[4])/3 + d[5]/4 - 
       (2*d[6])/3 - (3*d[7])/8 + (41*d[8])/24 - (13*d[9])/24 + (4*d[10])/3 - 
       (5*d[11])/3 + (13*d[12])/12 - d[13]/6 - (4*d[14])/3 - d[15]/6 - 
       (13*d[16])/12 + d[17]/2 + (11*d[18])/6 + (19*d[19])/12 - (9*d[20])/8 - 
       3*d[21] + (11*d[22])/4 - (5*d[23])/4 - (47*d[24])/12 + d[26]/3 - 
       (7*d[27])/12 - d[31]/6 - d[32]/12 - (7*d[33])/6 + (4*d[34])/3 + 
       (7*d[36])/2)*HPL[{1}, 1 - u]^4*\[Zeta][2] + 
     (-8*d[3] + 8*d[4] + 6*d[5] + 2*d[6] - 4*d[7] + 8*d[8] - (11*d[9])/6 + 
       (17*d[10])/3 + d[11]/6 + 2*d[12] - 8*d[13] - 3*d[15] - 12*d[16] + 
       d[17] + 5*d[18] + 9*d[19] - (19*d[20])/2 + 4*d[21] + 13*d[22] - 
       3*d[23] - 25*d[24] - 2*d[26] + 4*d[31] + 2*d[32] - 4*d[33] + 12*d[36])*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*\[Zeta][2] + 
     (-8*d[3] + 8*d[4] + 10*d[5] + 2*d[6] - (5*d[7])/2 + (13*d[8])/2 + 
       d[9]/2 + 6*d[10] + 4*d[12] - 16*d[13] + 5*d[15] - 3*d[16] + 2*d[17] + 
       6*d[18] - (189*d[20])/8 - 11*d[21] + 6*d[22] - (13*d[23])/4 - 
       (93*d[24])/8 - d[27] + 4*d[31] + 2*d[32] - 6*d[33] + 2*d[34] + 
       12*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*\[Zeta][2] + 
     (d[3]/2 + d[4]/6 - (7*d[5])/4 - (11*d[6])/12 - d[7]/8 + (17*d[8])/24 - 
       (31*d[9])/24 + (4*d[10])/3 - (35*d[11])/12 - (5*d[12])/12 + d[13]/3 - 
       (5*d[14])/6 - (5*d[15])/12 - (25*d[16])/12 + (5*d[17])/4 - 
       (11*d[18])/12 + (19*d[19])/12 + (25*d[20])/8 - d[21] + (7*d[22])/4 + 
       (11*d[23])/4 + (5*d[24])/6 + d[26]/12 - d[27]/3 - (2*d[31])/3 - 
       d[32]/3 - d[33]/6 + (5*d[34])/6 + d[36]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*\[Zeta][2] + (-d[7]/2 - d[8]/2 + (7*d[9])/6 + 
       d[10]/6 + (2*d[11])/3 - d[14] - (13*d[20])/4 - (3*d[23])/2 - d[24])*
      HPL[{1}, 1 - v]^4*\[Zeta][2] + (-8*d[3] + 4*d[4] + 7*d[5] - 6*d[7] + 
       6*d[8] - (7*d[9])/6 + (25*d[10])/3 + (23*d[11])/6 - 2*d[12] - 
       8*d[13] - 3*d[15] - 12*d[16] + d[17] + 5*d[18] + 9*d[19] - 
       (19*d[20])/2 + 4*d[21] + 13*d[22] - 3*d[23] - 25*d[24] + 2*d[27] + 
       4*d[31] + 2*d[32] - 4*d[33] + 12*d[36])*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*\[Zeta][2] + (8*d[3] - (22*d[4])/3 - 7*d[5] + d[6]/3 + 
       (3*d[7])/2 - (49*d[8])/6 + (17*d[9])/6 - (26*d[10])/3 + d[11]/3 - 
       (5*d[12])/3 + (34*d[13])/3 - (4*d[14])/3 + (28*d[15])/3 + 
       (23*d[16])/3 - 4*d[17] - (8*d[18])/3 - (41*d[19])/3 + 16*d[20] - 
       8*d[21] - 17*d[22] + 8*d[23] + (179*d[24])/6 + d[26]/3 - d[27]/3 - 
       (14*d[31])/3 - (7*d[32])/3 + (10*d[33])/3 + (4*d[34])/3 - 10*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (-8*d[3] + 6*d[4] + 8*d[5] - 2*d[6] - 2*d[7] + 11*d[8] - (10*d[9])/3 + 
       (26*d[10])/3 + (8*d[11])/3 + 4*d[12] - 2*d[13] + 2*d[14] - 7*d[15] - 
       12*d[16] + 3*d[17] + 3*d[18] + 13*d[19] - 12*d[20] + 5*d[21] + 
       17*d[22] - 7*d[23] - (121*d[24])/4 + d[27] + 4*d[31] + 2*d[32] - 
       4*d[33] + 12*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      \[Zeta][2] + ((-3*d[7])/2 - (3*d[8])/2 + (5*d[9])/6 - d[10]/6 - 
       (2*d[11])/3 + d[14] + (13*d[20])/2 + 3*d[23] + (7*d[24])/2)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (-2*d[2] - 8*d[3] + 8*d[4] + 11*d[5] + 2*d[6] - (3*d[7])/2 + 
       (15*d[8])/2 + d[9]/2 + 11*d[10] + 2*d[11] + 2*d[12] - 16*d[13] + 
       5*d[15] - 3*d[16] + 2*d[17] + 6*d[18] - (189*d[20])/8 - 11*d[21] + 
       6*d[22] - (13*d[23])/4 - (93*d[24])/8 - d[27] + 4*d[31] + 2*d[32] - 
       6*d[33] + 2*d[34] + 12*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      \[Zeta][2] + (-8*d[3] + 8*d[4] + 8*d[5] - d[6] - 6*d[7] + 6*d[8] - 
       (2*d[9])/3 + (13*d[10])/3 - (5*d[11])/3 + 2*d[12] - 2*d[13] + 
       2*d[14] - 7*d[15] - 12*d[16] + 3*d[17] + 3*d[18] + 13*d[19] - 
       12*d[20] + 5*d[21] + 17*d[22] - 7*d[23] - (121*d[24])/4 - d[26] + 
       4*d[31] + 2*d[32] - 4*d[33] + 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     (d[5] + 2*d[7] + 2*d[8] - 2*d[9] - (13*d[20])/2 - 3*d[23] - 5*d[24])*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     (d[3]/2 - d[4]/3 - (11*d[5])/4 - (2*d[6])/3 + (11*d[7])/8 + 
       (89*d[8])/24 - (67*d[9])/24 + (11*d[10])/6 - (2*d[11])/3 + d[12]/12 + 
       d[13]/3 - (5*d[14])/6 - (5*d[15])/12 - (25*d[16])/12 + (5*d[17])/4 - 
       (11*d[18])/12 + (19*d[19])/12 + (25*d[20])/8 - d[21] + (7*d[22])/4 + 
       (11*d[23])/4 + (5*d[24])/6 + d[26]/3 + d[27]/6 - (2*d[31])/3 - 
       d[32]/3 - d[33]/6 + (5*d[34])/6 + d[36]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^3*\[Zeta][2] + (-d[5] - d[7]/2 - d[8]/2 + (7*d[9])/6 + 
       (2*d[10])/3 + (2*d[11])/3 + d[14] + (13*d[20])/2 + 3*d[23] + 
       (7*d[24])/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*\[Zeta][2] + 
     (d[7]/2 + d[8]/2 - (7*d[9])/6 - (2*d[10])/3 - (2*d[11])/3 - d[14] - 
       (13*d[20])/4 - (3*d[23])/2 - d[24])*HPL[{1}, 1 - w]^4*\[Zeta][2] + 
     (-5*d[3] + (13*d[4])/3 + (9*d[5])/4 - (4*d[6])/3 - (39*d[7])/8 + 
       (133*d[8])/24 - (17*d[9])/24 + (14*d[10])/3 - (7*d[11])/3 - 
       (7*d[12])/12 - (5*d[13])/6 - (20*d[14])/3 + (7*d[15])/6 - 
       (113*d[16])/12 - (7*d[17])/2 + (67*d[18])/6 + (71*d[19])/12 + 
       (19*d[20])/8 - 7*d[21] + (47*d[22])/4 - (9*d[23])/4 - (235*d[24])/12 - 
       d[26]/3 - (11*d[27])/12 - (5*d[31])/6 - (5*d[32])/12 - (35*d[33])/6 + 
       (20*d[34])/3 + (35*d[36])/2)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + (6*d[3] - (22*d[4])/3 + 9*d[5] + (4*d[6])/3 + 4*d[7] - 
       (29*d[8])/3 + (55*d[9])/6 - (4*d[10])/3 + (13*d[11])/6 + (7*d[12])/3 - 
       (44*d[13])/3 + (8*d[14])/3 - (65*d[15])/3 + (59*d[16])/3 - 2*d[17] - 
       (20*d[18])/3 + (55*d[19])/3 - (7*d[20])/2 + 20*d[21] + 23*d[22] - 
       19*d[23] - (50*d[24])/3 - (2*d[26])/3 - (7*d[27])/3 - (8*d[31])/3 - 
       (4*d[32])/3 - (14*d[33])/3 + (22*d[34])/3 - 10*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (6*d[7] + 6*d[8] - (10*d[9])/3 - (4*d[10])/3 + (8*d[11])/3 - 8*d[13] - 
       2*d[24])*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (-10*d[3] + 14*d[4] - 9*d[5] - 10*d[6] - 9*d[7] + 21*d[8] - 
       (77*d[9])/6 + (53*d[10])/3 - (65*d[11])/6 + 5*d[12] + 20*d[13] - 
       8*d[14] - 35*d[15] - 35*d[16] + 6*d[17] + 12*d[18] + 49*d[19] + 
       (53*d[20])/2 + 20*d[21] + 51*d[22] - 23*d[23] - 98*d[24] + 2*d[26] - 
       2*d[33] + 2*d[34] + 30*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + (-2*d[2] - 16*d[7] - 16*d[8] + 
       (40*d[9])/3 + (22*d[10])/3 - (8*d[11])/3 + 16*d[13] + 4*d[24])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (2*d[2] + 10*d[7] + 10*d[8] - 10*d[9] - 6*d[10] - 8*d[13] - 2*d[24])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (-6*d[3] + (16*d[4])/3 - 12*d[5] - (22*d[6])/3 - (31*d[7])/2 + 
       (79*d[8])/6 - (47*d[9])/6 + (41*d[10])/3 - (7*d[11])/3 - d[12]/3 + 
       (56*d[13])/3 - (26*d[14])/3 - (4*d[15])/3 - (113*d[16])/3 + 4*d[17] + 
       (26*d[18])/3 + (44*d[19])/3 + (51*d[20])/4 - 6*d[21] + 14*d[22] + 
       (7*d[23])/2 - (337*d[24])/12 + (8*d[26])/3 + (10*d[27])/3 - 
       (4*d[31])/3 - (2*d[32])/3 + (2*d[33])/3 + (2*d[34])/3 + 22*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((5*d[3])/2 - (7*d[4])/6 - (11*d[5])/4 - (55*d[6])/12 - (17*d[7])/8 + 
       d[8]/24 + (3*d[9])/8 + 10*d[10] - (29*d[11])/4 + (23*d[12])/12 + 
       (47*d[13])/3 - (13*d[14])/6 - (109*d[15])/12 - (65*d[16])/12 + 
       (13*d[17])/4 - (43*d[18])/12 + (167*d[19])/12 + (37*d[20])/8 + 
       2*d[21] + (67*d[22])/4 - (11*d[23])/4 - (283*d[24])/12 + 
       (5*d[26])/12 - (5*d[27])/3 - (10*d[31])/3 - (5*d[32])/3 - 
       (17*d[33])/6 + (37*d[34])/6 + (5*d[36])/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (-d[7] - 5*d[8] + (31*d[9])/3 + (13*d[10])/3 + (7*d[11])/3 - 3*d[12] - 
       4*d[13] + (13*d[20])/2 + 3*d[23] + 8*d[24])*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (-2*d[2] + 8*d[3] - (20*d[4])/3 + 
       8*d[5] - (10*d[6])/3 + (25*d[7])/2 - (53*d[8])/6 + (17*d[9])/6 - 
       (11*d[10])/3 - (29*d[11])/3 - (13*d[12])/3 - (52*d[13])/3 - 
       (8*d[14])/3 - (16*d[15])/3 + (85*d[16])/3 + 4*d[17] - (40*d[18])/3 + 
       (2*d[19])/3 - (31*d[20])/2 + 2*d[21] + 6*d[22] + 3*d[23] + 
       (158*d[24])/3 - (4*d[26])/3 - (14*d[27])/3 - (10*d[31])/3 - 
       (5*d[32])/3 - (16*d[33])/3 + (26*d[34])/3 - 14*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (2*d[2] + 5*d[5] + (19*d[7])/2 + (33*d[8])/2 - (13*d[9])/2 + 
       (11*d[10])/2 + 5*d[11] - 19*d[16] + 6*d[19] + 2*d[21] + 4*d[22] - 
       (59*d[24])/2 - d[27] + 2*d[33] - 2*d[34])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (-d[1] - 2*d[2] - d[5]/2 + 2*d[6] - d[7] + (7*d[8])/2 - (59*d[9])/6 + 
       (7*d[10])/6 - (17*d[11])/6 + 3*d[12] + 4*d[13] + (9*d[16])/2 + d[17] - 
       d[18] - (3*d[19])/2 - (13*d[20])/2 - d[21] - d[22]/2 - 3*d[23] - 
       (15*d[24])/2 - d[27]/2 - d[33] + d[34])*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (-d[5] + 2*d[6] + 4*d[7] + (3*d[8])/2 - 
       4*d[9] - 4*d[10] - d[11]/2 + 4*d[15] + 6*d[16] + 2*d[17] - 2*d[18] - 
       (13*d[19])/2 - (5*d[20])/2 - (21*d[22])/2 + 3*d[23] + 6*d[24] - 
       d[27]/2 + 4*d[33] - 4*d[34])*HPL[{0, 1}, 1 - v]^2*\[Zeta][2] + 
     (10*d[3] - 10*d[4] + 3*d[5] + 7*d[6] + (7*d[7])/2 - (25*d[8])/2 + 
       (15*d[9])/2 + 9*d[10] - 2*d[11] - 5*d[12] - 16*d[13] + 2*d[14] + 
       12*d[15] + 17*d[16] - 4*d[17] - 10*d[18] - 16*d[19] - (69*d[20])/4 - 
       6*d[21] - 14*d[22] + (15*d[23])/2 + (213*d[24])/4 - 3*d[26] - 
       2*d[27] - 4*d[31] - 2*d[32] - 2*d[33] + 6*d[34] - 18*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (-8*d[3] + (32*d[4])/3 - 5*d[5] - (32*d[6])/3 - (9*d[7])/2 + 
       (149*d[8])/6 - (55*d[9])/6 + (22*d[10])/3 - (5*d[11])/3 + 
       (25*d[12])/3 + (52*d[13])/3 - (40*d[14])/3 - (56*d[15])/3 - 
       (79*d[16])/3 + 12*d[17] + (16*d[18])/3 + (94*d[19])/3 + (29*d[20])/2 + 
       2*d[21] + 34*d[22] - d[23] - (86*d[24])/3 + (10*d[26])/3 + 
       (2*d[27])/3 - (2*d[31])/3 - d[32]/3 - (8*d[33])/3 + (10*d[34])/3 + 
       26*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + (d[5] - (15*d[7])/2 - 5*d[8] + (43*d[9])/6 + (2*d[10])/3 + 
       d[11]/6 + 3*d[12] + 4*d[13] + (9*d[16])/2 + d[17] - d[18] - 
       (3*d[19])/2 - (13*d[20])/2 - d[21] - d[22]/2 - 3*d[23] - 
       (15*d[24])/2 + (3*d[27])/2 - d[33] + d[34])*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + (-2*d[2] + (5*d[3])/2 - (5*d[4])/3 + 
       (5*d[5])/4 - (7*d[6])/3 - (29*d[7])/8 + (121*d[8])/24 - (59*d[9])/24 + 
       (67*d[10])/6 - (7*d[11])/3 + (5*d[12])/12 + (47*d[13])/3 - 
       (13*d[14])/6 - (109*d[15])/12 - (65*d[16])/12 + (13*d[17])/4 - 
       (43*d[18])/12 + (167*d[19])/12 + (37*d[20])/8 + 2*d[21] + 
       (67*d[22])/4 - (11*d[23])/4 - (283*d[24])/12 + (2*d[26])/3 - d[27]/6 - 
       (10*d[31])/3 - (5*d[32])/3 - (17*d[33])/6 + (37*d[34])/6 + 
       (5*d[36])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + (-2*d[2] - 5*d[5] + (9*d[7])/2 + (27*d[8])/2 - 
       (17*d[9])/6 + (32*d[10])/3 + (11*d[11])/3 - 19*d[16] + 6*d[19] + 
       2*d[21] + 4*d[22] - (59*d[24])/2 - d[27] + 2*d[33] - 2*d[34])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (2*d[2] - 3*d[5] + 4*d[7] - (10*d[9])/3 - (7*d[10])/3 - (13*d[11])/3 - 
       3*d[12] - 4*d[13] + (13*d[20])/2 + 3*d[23] + 8*d[24])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (-6*d[5] - 2*d[6] + 3*d[7] + 3*d[8] - 3*d[9] + d[10] - d[11] - 8*d[15] + 
       3*d[16] - 2*d[17] + 2*d[18] + 9*d[19] + 5*d[20] + 8*d[21] + 10*d[22] - 
       6*d[23] - 23*d[24])*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     ((-5*d[5])/2 + 2*d[6] + (5*d[7])/2 - d[8] - 3*d[9] - 3*d[10] + 
       (15*d[11])/2 + 4*d[15] + 6*d[16] + 2*d[17] - 2*d[18] - (13*d[19])/2 - 
       (5*d[20])/2 - (21*d[22])/2 + 3*d[23] + 6*d[24] - d[27]/2 + 4*d[33] - 
       4*d[34])*HPL[{0, 1}, 1 - w]^2*\[Zeta][2] + 
     (-4*d[2] + 15*d[3] - 17*d[4] + (13*d[5])/4 + 2*d[6] + (17*d[7])/8 - 
       (97*d[8])/8 + (85*d[9])/8 + 5*d[10] + 9*d[11] - (21*d[12])/4 + 
       d[13]/2 + 4*d[14] + (5*d[15])/2 + (61*d[16])/4 - (7*d[17])/2 - 
       (31*d[18])/2 - (27*d[19])/4 + (3*d[20])/8 + d[21] - (25*d[22])/4 + 
       (23*d[23])/4 + (159*d[24])/4 - d[26] - d[27]/4 - (15*d[31])/2 - 
       (15*d[32])/4 - d[33]/2 + 8*d[34] - (45*d[36])/2)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + (-2*d[2] + 4*d[5] + (7*d[7])/2 + 
       (7*d[8])/2 + 2*d[9] + (11*d[11])/2)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + (2*d[2] - 4*d[5] - (7*d[7])/2 - 
       (7*d[8])/2 - 2*d[9] - (11*d[11])/2)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + (d[1] - 4*d[2] + (5*d[3])/2 - 
       (17*d[4])/2 + (37*d[5])/4 + (11*d[6])/4 - d[7]/8 + (27*d[8])/8 + 
       (51*d[9])/8 - 8*d[10] + (63*d[11])/4 - (27*d[12])/4 - d[13] + 
       (21*d[14])/2 + (37*d[15])/4 + (13*d[16])/4 - (23*d[17])/4 - 
       (5*d[18])/4 - (43*d[19])/4 - (15*d[20])/8 - 8*d[21] - (29*d[22])/4 + 
       d[23]/4 + (29*d[24])/4 - (9*d[26])/4 + d[27] - 2*d[31] - 
       (11*d[33])/2 + (15*d[34])/2 - (3*d[36])/2)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (-4*d[2] + 4*d[3] - 4*d[4] + (15*d[7])/2 + (15*d[8])/2 - (3*d[9])/2 + 
       (15*d[10])/2 + 2*d[11] + 4*d[12] - 4*d[15] + 4*d[19] + (5*d[20])/2 + 
       4*d[21] + 4*d[22] - 7*d[23] - 14*d[24] - 12*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + (4*d[2] - 4*d[3] + 4*d[4] + 2*d[5] + 
       4*d[6] - (15*d[7])/2 - (11*d[8])/2 + (7*d[9])/2 - (7*d[10])/2 - 
       2*d[11] - 4*d[12] + 4*d[15] - 2*d[16] + 2*d[17] - 2*d[18] - 4*d[19] - 
       (5*d[20])/2 - 6*d[21] - 2*d[22] + 7*d[23] + 19*d[24] - 2*d[33] + 
       2*d[34] + 12*d[36])*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     ((5*d[3])/2 - 3*d[4] - (3*d[5])/4 - (45*d[7])/8 - (125*d[8])/8 + 
       (71*d[9])/8 - (11*d[10])/2 - 4*d[11] + (7*d[12])/4 - d[13] + 
       (21*d[14])/2 + (37*d[15])/4 + (13*d[16])/4 - (23*d[17])/4 - 
       (5*d[18])/4 - (43*d[19])/4 - (15*d[20])/8 - 8*d[21] - (29*d[22])/4 + 
       d[23]/4 + (29*d[24])/4 - 3*d[26] + (5*d[27])/2 - 2*d[31] - 
       (11*d[33])/2 + (15*d[34])/2 - (3*d[36])/2)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     (-4*d[3] + 4*d[4] - 2*d[5] - (13*d[7])/2 - (17*d[8])/2 - (3*d[9])/2 - 
       3*d[10] - 4*d[11] - 4*d[12] + 4*d[15] - 2*d[16] + 2*d[17] - 2*d[18] - 
       4*d[19] - (5*d[20])/2 - 6*d[21] - 2*d[22] + 7*d[23] + 19*d[24] + 
       2*d[27] - 2*d[33] + 2*d[34] + 12*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     (4*d[3] - 4*d[4] + 2*d[5] + (9*d[7])/2 + (17*d[8])/2 - d[9]/2 + 
       4*d[10] + 4*d[11] + 4*d[12] - 4*d[15] + 4*d[19] + (5*d[20])/2 + 
       4*d[21] + 4*d[22] - 7*d[23] - 14*d[24] - 12*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + (12*d[3] - (20*d[4])/3 - 11*d[5] - 
       (10*d[6])/3 + (17*d[7])/2 - (29*d[8])/6 - (17*d[9])/6 - (4*d[10])/3 - 
       (22*d[11])/3 + (11*d[12])/3 + (38*d[13])/3 + (16*d[14])/3 - 
       (22*d[15])/3 + (37*d[16])/3 + 12*d[17] - (64*d[18])/3 - d[19]/3 - 
       d[20]/2 + 4*d[21] - 9*d[22] + 3*d[23] + (101*d[24])/3 + (8*d[26])/3 - 
       (2*d[27])/3 - (10*d[31])/3 - (5*d[32])/3 + (26*d[33])/3 - 
       (16*d[34])/3 - 26*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][2] + (-2*d[7] - 2*d[8] + (10*d[9])/3 - (8*d[10])/3 - 
       (8*d[11])/3 - 4*d[12])*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][2] + (2*d[7] + 2*d[8] - (10*d[9])/3 + (8*d[10])/3 + 
       (8*d[11])/3 + 4*d[12])*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][2] + ((4*d[4])/3 - 5*d[5] + (8*d[6])/3 + (23*d[7])/2 + 
       (73*d[8])/6 - (71*d[9])/6 + (32*d[10])/3 + (20*d[11])/3 + 
       (17*d[12])/3 - (4*d[13])/3 + (10*d[14])/3 - (16*d[15])/3 - 
       (11*d[16])/3 + 22*d[17] - (40*d[18])/3 + (5*d[19])/3 - (67*d[20])/2 + 
       8*d[21] - 3*d[22] - 15*d[23] + (17*d[24])/3 + (2*d[26])/3 + 
       (4*d[27])/3 + (2*d[31])/3 + d[32]/3 + (14*d[33])/3 - (16*d[34])/3 - 
       2*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     (2*d[7] + 2*d[8] - (38*d[9])/3 + (16*d[10])/3 - (32*d[11])/3 + 8*d[13] - 
       12*d[24])*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     (-16*d[5] - 14*d[7] - 8*d[8] - (10*d[9])/3 + (20*d[10])/3 - 
       (22*d[11])/3 - 8*d[13] - 14*d[16] - 2*d[19] + 4*d[21] - 6*d[22] + 
       32*d[24] + 6*d[27] + 4*d[33] - 4*d[34])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + (8*d[2] + (4*d[4])/3 - 7*d[5] + 
       (14*d[6])/3 - (5*d[7])/2 - (35*d[8])/6 + d[9]/6 - (28*d[10])/3 - 
       (28*d[11])/3 + (71*d[12])/3 - (4*d[13])/3 + (10*d[14])/3 - 
       (16*d[15])/3 - (11*d[16])/3 + 22*d[17] - (40*d[18])/3 + (5*d[19])/3 - 
       (67*d[20])/2 + 8*d[21] - 3*d[22] - 15*d[23] + (17*d[24])/3 + 
       (2*d[26])/3 - (2*d[27])/3 + (2*d[31])/3 + d[32]/3 + (14*d[33])/3 - 
       (16*d[34])/3 - 2*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      \[Zeta][2] + (4*d[2] + 2*d[5] - 4*d[7] - 2*d[8] - (26*d[9])/3 - 
       (8*d[10])/3 - (56*d[11])/3 - 8*d[13] - 14*d[16] - 2*d[19] + 4*d[21] - 
       6*d[22] + 32*d[24] + 8*d[27] + 4*d[33] - 4*d[34])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (-4*d[2] + 8*d[5] - 6*d[7] + 8*d[8] - (16*d[9])/3 + (32*d[10])/3 + 
       (32*d[11])/3 + 8*d[13] - 12*d[24])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (-2*d[1] + 8*d[3] - 8*d[4] - 6*d[5] + 2*d[7] + 4*d[8] + 6*d[9] + 
       4*d[11] + 3*d[16] + 8*d[19] - 6*d[21] + 6*d[22] + 5*d[24] + 6*d[34])*
      HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (-8*d[3] + 8*d[4] + 6*d[9] + 4*d[10] + 6*d[11] + 3*d[16] + 8*d[19] - 
       6*d[21] + 6*d[22] + 5*d[24] + 6*d[34])*HPL[{0, 0, 0, 1}, 1 - w]*
      \[Zeta][2] + (2*d[5] - 8*d[6] - 4*d[7] - 4*d[8] - 8*d[9] - 2*d[10] - 
       8*d[11] - 8*d[16] - 4*d[17] + 4*d[18] + 2*d[19] + 2*d[22] - 4*d[24])*
      HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2] + 
     (6*d[5] - 2*d[7] + 2*d[8] - 2*d[9] + 6*d[10] - 6*d[11] - 8*d[16] - 
       4*d[17] + 4*d[18] + 2*d[19] + 2*d[22] - 4*d[24])*
      HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (6*d[5] - 24*d[7] - 45*d[8] + 42*d[9] - 39*d[10] + 21*d[11] + 45*d[16] - 
       9*d[19] - 6*d[21] - 3*d[22] + 78*d[24] - 3*d[27] - 6*d[33] + 6*d[34])*
      HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2] + 
     (2*d[1] + 3*d[5] + 19*d[7] - 42*d[8] + 42*d[9] - 51*d[10] - 15*d[11] + 
       45*d[16] - 9*d[19] - 6*d[21] - 3*d[22] + 78*d[24] - 3*d[27] - 
       6*d[33] + 6*d[34])*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2] + 
     ((48*d[3])/5 - (72*d[4])/5 - (24*d[5])/5 + (36*d[6])/5 + (18*d[7])/5 - 
       (54*d[8])/5 + (6*d[9])/5 - (72*d[10])/5 + (48*d[11])/5 - 12*d[12] + 
       (48*d[13])/5 + (48*d[14])/5 + (24*d[15])/5 + (24*d[16])/5 - 
       (24*d[17])/5 - (72*d[18])/5 - (72*d[19])/5 + (114*d[20])/5 + 
       (96*d[21])/5 - 24*d[22] + 12*d[23] + (108*d[24])/5 - (12*d[26])/5 + 
       (24*d[27])/5 + (48*d[33])/5 - (48*d[34])/5 - (144*d[36])/5)*
      HPL[{1}, 1 - u]^2*\[Zeta][2]^2 + ((-24*d[3])/5 + (72*d[5])/5 + 
       (48*d[6])/5 + 6*d[7] + (18*d[8])/5 + (18*d[9])/5 - (96*d[10])/5 + 
       (108*d[11])/5 + (12*d[12])/5 - (72*d[13])/5 + (24*d[14])/5 + 
       (84*d[15])/5 + (72*d[16])/5 - 12*d[17] + 12*d[18] - 24*d[19] + 
       (6*d[20])/5 - (48*d[21])/5 - 24*d[22] - (12*d[23])/5 - (12*d[24])/5 + 
       (12*d[27])/5 + (24*d[31])/5 + (12*d[32])/5 - (24*d[34])/5)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][2]^2 + 
     ((24*d[7])/5 + (24*d[8])/5 - (58*d[9])/5 - (24*d[11])/5 - 4*d[13] - 
       (16*d[23])/5 + (44*d[24])/5 - (4*d[28])/5 + 4*d[30])*HPL[{1}, 1 - v]^2*
      \[Zeta][2]^2 + ((-24*d[3])/5 + (24*d[4])/5 + (24*d[5])/5 + 
       (36*d[6])/5 + (6*d[7])/5 - (78*d[8])/5 + (42*d[9])/5 - (72*d[10])/5 - 
       (12*d[12])/5 - (72*d[13])/5 + (24*d[14])/5 + (84*d[15])/5 + 
       (72*d[16])/5 - 12*d[17] + 12*d[18] - 24*d[19] + (6*d[20])/5 - 
       (48*d[21])/5 - 24*d[22] - (12*d[23])/5 - (12*d[24])/5 - (12*d[26])/5 - 
       (12*d[27])/5 + (24*d[31])/5 + (12*d[32])/5 - (24*d[34])/5)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*\[Zeta][2]^2 + 
     (4*d[5] - (24*d[10])/5 + 8*d[13] + (32*d[23])/5 - (88*d[24])/5 + 
       (8*d[28])/5 - 8*d[30])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2]^2 + 
     (-2*d[5] - (24*d[7])/5 - (24*d[8])/5 + (48*d[9])/5 + (24*d[10])/5 + 
       (24*d[11])/5 - 4*d[13] - (16*d[23])/5 + (44*d[24])/5 - (4*d[28])/5 + 
       4*d[30])*HPL[{1}, 1 - w]^2*\[Zeta][2]^2 + 
     ((-16*d[1])/5 + (16*d[3])/5 - (16*d[4])/5 + (16*d[7])/5 - 4*d[9] + 
       4*d[10] + 4*d[11] + 4*d[16] + (16*d[19])/5 - (4*d[25])/5 + 
       (4*d[29])/5)*HPL[{0, 1}, 1 - v]*\[Zeta][2]^2 + 
     ((16*d[1])/5 - (16*d[3])/5 + (16*d[4])/5 - 4*d[5] - (16*d[7])/5 - 
       4*d[10] - 4*d[11] + 4*d[16] + (16*d[19])/5 + (4*d[25])/5 + 
       (4*d[29])/5)*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2 + 
     (-8*d[3] + (26*d[4])/3 + (13*d[5])/2 - (5*d[6])/3 - (3*d[7])/2 + 
       (35*d[8])/6 + d[9]/3 + d[10]/3 - (5*d[11])/3 + (13*d[12])/3 - 
       (20*d[13])/3 - (16*d[14])/3 + (7*d[15])/3 - (4*d[16])/3 - 3*d[17] + 
       (43*d[18])/3 + (7*d[19])/3 - 6*d[20] - 12*d[21] + 9*d[22] - 6*d[23] - 
       (62*d[24])/3 + d[26]/3 - (7*d[27])/3 + (4*d[31])/3 + (2*d[32])/3 - 
       (20*d[33])/3 + (16*d[34])/3 + 20*d[36])*HPL[{1}, 1 - u]^3*\[Zeta][3] + 
     (-4*d[3] + 10*d[4] + 2*d[6] + (3*d[7])/2 + (13*d[8])/2 - (29*d[9])/6 + 
       (17*d[10])/3 - (28*d[11])/3 + 6*d[12] - 6*d[13] - 2*d[14] - 5*d[15] - 
       d[16] + 6*d[17] + 2*d[18] + 8*d[19] - 9*d[20] - 4*d[21] + 10*d[22] - 
       8*d[23] - (35*d[24])/2 - 3*d[27] + 2*d[31] + d[32] - 2*d[33] + 
       6*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][3] + 
     (4*d[3] - (7*d[4])/3 - 7*d[5] - (8*d[6])/3 - (5*d[7])/4 - (59*d[8])/12 - 
       (17*d[9])/12 + (13*d[10])/3 - (41*d[11])/3 - (17*d[12])/3 + 
       (22*d[13])/3 - d[14]/3 - (11*d[15])/3 - (29*d[16])/6 + (5*d[17])/2 - 
       (37*d[18])/6 + (35*d[19])/6 + (19*d[20])/4 + 3*d[21] + (11*d[22])/2 + 
       (5*d[23])/2 + (11*d[24])/6 - (2*d[26])/3 - (4*d[27])/3 - (8*d[31])/3 - 
       (4*d[32])/3 + d[33]/3 + (7*d[34])/3 - 4*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*\[Zeta][3] + ((-3*d[7])/2 - (11*d[8])/2 + 
       (49*d[9])/6 + 2*d[10] + (5*d[11])/3 - 3*d[12] - 2*d[13] + 
       (13*d[20])/2 + 3*d[23] + (20*d[24])/3)*HPL[{1}, 1 - v]^3*\[Zeta][3] + 
     (-4*d[3] + 4*d[4] + 3*d[5] - d[6] - (3*d[7])/2 + (9*d[8])/2 - d[9]/6 + 
       (10*d[10])/3 - (5*d[11])/3 + 2*d[12] - 6*d[13] - 2*d[14] - 5*d[15] - 
       d[16] + 6*d[17] + 2*d[18] + 8*d[19] - 9*d[20] - 4*d[21] + 10*d[22] - 
       8*d[23] - (35*d[24])/2 + 3*d[26] + 2*d[31] + d[32] - 2*d[33] + 
       6*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (4*d[2] - 4*d[3] + 4*d[4] - 6*d[5] - 2*d[6] - (7*d[7])/2 + (17*d[8])/2 - 
       (17*d[9])/2 + 3*d[10] - 4*d[11] + d[12] + 10*d[13] - 6*d[15] - 
       19*d[16] + 4*d[17] + 11*d[19] + (17*d[20])/2 + 8*d[21] + 9*d[22] + 
       d[23] - 25*d[24] + 2*d[27] + 2*d[31] + d[32] + 2*d[33] - 4*d[34] + 
       6*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (2*d[2] - d[5] + (11*d[7])/2 + 6*d[8] - (26*d[9])/3 - (14*d[10])/3 - 
       (5*d[11])/3 + 3*d[12] + 2*d[13] + (3*d[16])/2 + d[19] - (13*d[20])/2 + 
       d[22] - 3*d[23] - 9*d[24] - (3*d[27])/2)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*\[Zeta][3] + (-3*d[2] + 4*d[3] - (16*d[4])/3 + d[5]/2 - 
       d[6]/6 - (3*d[7])/4 + (85*d[8])/12 - (17*d[9])/12 + (16*d[10])/3 + 
       (41*d[11])/6 - (2*d[12])/3 + (22*d[13])/3 - d[14]/3 - (11*d[15])/3 - 
       (29*d[16])/6 + (5*d[17])/2 - (37*d[18])/6 + (35*d[19])/6 + 
       (19*d[20])/4 + 3*d[21] + (11*d[22])/2 + (5*d[23])/2 + (11*d[24])/6 + 
       (5*d[26])/6 + (13*d[27])/6 - (8*d[31])/3 - (4*d[32])/3 + d[33]/3 + 
       (7*d[34])/3 - 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     (-4*d[2] + d[5]/2 - (5*d[7])/2 + (5*d[8])/2 - (11*d[9])/6 + 
       (19*d[10])/6 + (20*d[11])/3 + 3*d[12] + 2*d[13] + (3*d[16])/2 + 
       d[19] - (13*d[20])/2 + d[22] - 3*d[23] - 9*d[24])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*\[Zeta][3] + (d[1]/3 + 2*d[2] - 2*d[5] + 
       (11*d[7])/6 - (13*d[8])/6 - d[9]/2 - (8*d[10])/3 - (11*d[11])/3 - 
       3*d[12] - 2*d[13] + (13*d[20])/2 + 3*d[23] + (20*d[24])/3)*
      HPL[{1}, 1 - w]^3*\[Zeta][3] + (-2*d[2] - 8*d[3] + (44*d[4])/3 + 
       10*d[5] - (8*d[6])/3 + (3*d[7])/2 + (53*d[8])/6 + (11*d[9])/6 + 
       (22*d[10])/3 - (32*d[11])/3 + (31*d[12])/3 - (50*d[13])/3 - 
       (40*d[14])/3 + (4*d[15])/3 + (35*d[16])/3 + 6*d[17] + (46*d[18])/3 + 
       (19*d[19])/3 - (53*d[20])/2 - 32*d[21] + 19*d[22] - 13*d[23] - 
       (35*d[24])/3 + (10*d[26])/3 - (22*d[27])/3 - (2*d[31])/3 - d[32]/3 - 
       (38*d[33])/3 + (40*d[34])/3 + 26*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*\[Zeta][3] + (2*d[2] + 2*d[5] - 4*d[7] - 4*d[8] + 
       (14*d[9])/3 + (14*d[10])/3 + (2*d[11])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*\[Zeta][3] + (-2*d[2] - 2*d[5] + 4*d[7] + 4*d[8] - 
       (14*d[9])/3 - (14*d[10])/3 - (2*d[11])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*\[Zeta][3] + (2*d[2] + 4*d[3] + (14*d[4])/3 - 
       19*d[5] - (23*d[6])/3 + 2*d[7] + (28*d[8])/3 - (47*d[9])/3 + 
       (28*d[10])/3 - (86*d[11])/3 - (5*d[12])/3 + (70*d[13])/3 - 
       (16*d[14])/3 - (35*d[15])/3 - (64*d[16])/3 + 7*d[17] - (23*d[18])/3 + 
       (58*d[19])/3 + 18*d[20] + 2*d[21] + 18*d[22] + 4*d[23] - 
       (50*d[24])/3 - (8*d[26])/3 - (10*d[27])/3 - (14*d[31])/3 - 
       (7*d[32])/3 - (2*d[33])/3 + (16*d[34])/3 + 2*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*\[Zeta][3] + (-4*d[2] + 4*d[3] - 4*d[4] - 3*d[5] - 
       3*d[7] + 3*d[8] + (14*d[9])/3 + (2*d[10])/3 + (5*d[11])/3 - 4*d[13] + 
       4*d[15] - 4*d[19] - (5*d[20])/2 - 4*d[21] - 4*d[22] - d[23] + 
       (15*d[24])/2 - 12*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      \[Zeta][3] + (4*d[2] - 4*d[3] + 4*d[4] + 7*d[5] + d[7] - 4*d[8] - 
       (2*d[9])/3 + (10*d[10])/3 - (2*d[11])/3 + 4*d[13] - 4*d[15] - 
       6*d[16] - d[17] + d[18] + 6*d[19] + (5*d[20])/2 + 10*d[22] + d[23] - 
       (3*d[24])/2 + d[27] - 4*d[33] + 4*d[34] + 12*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*\[Zeta][3] + (4*d[3] - (28*d[4])/3 - 6*d[5] - 
       (14*d[6])/3 - 11*d[7] + (28*d[8])/3 - (11*d[9])/3 + (34*d[10])/3 + 
       (13*d[11])/3 - (11*d[12])/3 + (70*d[13])/3 - (16*d[14])/3 - 
       (35*d[15])/3 - (64*d[16])/3 + 7*d[17] - (23*d[18])/3 + (58*d[19])/3 + 
       18*d[20] + 2*d[21] + 18*d[22] + 4*d[23] - (50*d[24])/3 + 
       (10*d[26])/3 + (17*d[27])/3 - (14*d[31])/3 - (7*d[32])/3 - 
       (2*d[33])/3 + (16*d[34])/3 + 2*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*\[Zeta][3] + (-4*d[3] + 4*d[4] + d[5] - 2*d[6] - 
       11*d[7] - 7*d[8] + (26*d[9])/3 - d[10]/3 - (25*d[11])/3 - 4*d[12] + 
       4*d[13] - 4*d[15] - 6*d[16] - d[17] + d[18] + 6*d[19] + (5*d[20])/2 + 
       10*d[22] + d[23] - (3*d[24])/2 + 2*d[27] - 4*d[33] + 4*d[34] + 
       12*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][3] + 
     (4*d[3] - 4*d[4] + d[5] + 7*d[7] + 5*d[8] - (8*d[9])/3 + (4*d[10])/3 + 
       (13*d[11])/3 + 4*d[12] - 4*d[13] + 4*d[15] - 4*d[19] - (5*d[20])/2 - 
       4*d[21] - 4*d[22] - d[23] + (15*d[24])/2 - 12*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*\[Zeta][3] + (-2*d[1] + 8*d[3] - 8*d[4] - 2*d[5] + 
       2*d[7] + 4*d[8] - 2*d[9] + 4*d[10] - 4*d[11] - d[16] + 10*d[19] - 
       6*d[21] + 10*d[22] + d[24] + 6*d[34])*HPL[{0, 0, 1}, 1 - v]*
      \[Zeta][3] + (-8*d[3] + 8*d[4] + 4*d[5] - 4*d[7] + 4*d[8] + 10*d[9] + 
       8*d[10] + 10*d[11] - d[16] + 10*d[19] - 6*d[21] + 10*d[22] + d[24] + 
       6*d[34])*HPL[{0, 0, 1}, 1 - w]*\[Zeta][3] + 
     (2*d[5] + 2*d[6] + 14*d[7] + 8*d[8] - 6*d[9] + 3*d[10] + 4*d[11] + 
       5*d[16] + 3*d[17] - 3*d[18] - 2*d[19] + 12*d[21] - 14*d[22] - 
       25*d[24] - 2*d[27] + 12*d[33] - 12*d[34])*HPL[{0, 1, 1}, 1 - v]*
      \[Zeta][3] + (-6*d[5] + 4*d[6] + 4*d[7] + 11*d[8] - 30*d[9] - 4*d[10] - 
       d[11] + 5*d[16] + 3*d[17] - 3*d[18] - 2*d[19] + 12*d[21] - 14*d[22] - 
       25*d[24] - d[27] + 12*d[33] - 12*d[34])*HPL[{0, 1, 1}, 1 - w]*
      \[Zeta][3] + (-14*d[5] + 18*d[7] + 30*d[8] - 4*d[9] - 4*d[10] - 
       2*d[11] - 2*d[25])*HPL[{1}, 1 - v]*\[Zeta][2]*\[Zeta][3] + 
     (14*d[5] - 18*d[7] - 30*d[8] + 4*d[9] + 4*d[10] + 2*d[11] + 2*d[25])*
      HPL[{1}, 1 - w]*\[Zeta][2]*\[Zeta][3] + 
     (-8*d[1] + 8*d[3] - 8*d[4] + 17*d[5] - 45*d[7] - 51*d[8] + 46*d[9] + 
       46*d[10] + 47*d[11] + d[25])*HPL[{1}, 1 - v]*\[Zeta][5] + 
     (8*d[1] - 8*d[3] + 8*d[4] - 17*d[5] + 45*d[7] + 51*d[8] - 46*d[9] - 
       46*d[10] - 47*d[11] - d[25])*HPL[{1}, 1 - w]*\[Zeta][5]
 

DuvwCoproductEntries[u] = (d[4]/12 - (7*d[6])/12 + d[10] - d[11]/4 + 
       d[12]/12 + d[15]/12 - (17*d[17])/12 + (25*d[18])/12 - d[19]/12 - 
       (7*d[20])/8 - (5*d[21])/12 + d[22]/12 + (13*d[23])/12 + (17*d[24])/8)*
      HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2 + 
     (d[4]/12 + d[5]/24 + (179*d[6])/96 - d[7]/48 - d[8]/48 - d[9]/48 - 
       (41*d[10])/24 + (5*d[11])/12 + (17*d[12])/48 + d[14]/4 + d[15]/48 - 
       d[16]/12 - (29*d[17])/24 + (19*d[18])/24 - d[19]/48 + (5*d[20])/6 - 
       (9*d[21])/16 + (5*d[22])/16 - (5*d[23])/3 - (719*d[24])/192 + 
       d[27]/12)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3 + 
     (-d[4]/6 + d[5]/12 + d[6]/16 - (13*d[7])/96 - (13*d[8])/96 + 
       (5*d[9])/96 + d[10]/12 + (13*d[11])/48 + d[12]/16 - d[14]/4 - 
       (11*d[15])/48 - d[16]/6 + d[17]/2 - d[18] + (11*d[19])/48 + 
       (43*d[20])/96 + (23*d[21])/48 + (11*d[22])/48 + (5*d[23])/96 - 
       (91*d[24])/192 + d[27]/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4 + 
     (-d[4]/6 - (3*d[5])/8 - (257*d[6])/96 - d[7]/8 + d[8]/2 - d[9]/2 + 
       (19*d[10])/8 - (5*d[11])/12 - (7*d[12])/24 - d[13]/4 + d[14]/4 + 
       (99*d[15])/16 - (19*d[16])/12 - (13*d[17])/12 + (11*d[18])/6 - 
       (95*d[19])/16 - (149*d[20])/24 - (93*d[21])/16 - (99*d[22])/16 + 
       (31*d[23])/4 + (3155*d[24])/192 - d[26]/24 + d[27]/8 + d[33]/4 - 
       d[34]/4)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w] + 
     (d[4]/6 - (5*d[5])/24 + (5*d[6])/96 - d[7]/6 + (5*d[8])/24 + d[9]/24 - 
       (19*d[10])/12 - d[11]/8 - (103*d[12])/96 + d[13]/12 + d[14]/4 - 
       (23*d[15])/24 + d[17]/2 - (3*d[18])/2 + (25*d[19])/24 - 
       (19*d[20])/32 + (7*d[21])/8 + (5*d[22])/8 + (155*d[23])/96 - 
       (65*d[24])/96 + d[26]/12 - d[27]/8 + d[33]/12 - d[34]/12)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w] + 
     ((11*d[7])/12 + (7*d[8])/6 - (7*d[9])/6 - d[10]/12 - (4*d[11])/3 - 
       d[12] + d[13]/12 - (3*d[14])/4 - (10*d[15])/3 + d[17]/2 + 
       (10*d[19])/3 + (5*d[20])/6 + (10*d[21])/3 + (10*d[22])/3 - 
       (91*d[23])/24 - (49*d[24])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w] + (d[14]*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w])/10 + 
     (d[4]/4 + (9*d[6])/8 - d[10] + d[11]/4 + d[12]/4 - d[15]/4 - 
       (11*d[17])/4 + (11*d[18])/4 + d[19]/4 + (7*d[20])/8 - (3*d[21])/4 + 
       (3*d[22])/4 - (5*d[23])/4 - (29*d[24])/8)*HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - w]^2 + (-d[3]/6 - (5*d[4])/12 + d[5]/8 - (277*d[6])/96 + 
       d[7]/16 + d[8]/16 - (3*d[9])/16 + (19*d[10])/24 + d[11]/12 + 
       (13*d[12])/48 - d[14]/4 + (283*d[15])/48 - d[16]/4 - (5*d[17])/6 + 
       (4*d[18])/3 - (283*d[19])/48 - (251*d[20])/48 - (265*d[21])/48 - 
       (283*d[22])/48 + (397*d[23])/48 + (3313*d[24])/192 + d[27]/4)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2 + 
     (-d[2]/4 - (5*d[3])/6 - (31*d[5])/12 - (17*d[6])/24 - (37*d[7])/48 + 
       (179*d[8])/48 - (53*d[9])/16 + (31*d[10])/6 - (19*d[11])/24 - 
       (3*d[12])/16 - (2*d[13])/3 + d[14] + d[15]/3 - (26*d[16])/3 + 
       d[17]/2 - (13*d[18])/6 + (4*d[19])/3 - (5*d[20])/8 + (5*d[21])/6 - 
       d[22]/3 + (41*d[23])/16 - (63*d[24])/8 + d[26]/12 + (2*d[27])/3 + 
       (5*d[33])/3 - (5*d[34])/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2 + (-d[2]/9 - d[3]/9 + d[4]/3 + d[5]/36 - 
       (121*d[6])/144 - d[7]/24 - (43*d[8])/72 + (49*d[9])/72 + 
       (13*d[10])/12 - (41*d[11])/36 - (5*d[12])/72 - (7*d[13])/18 + 
       d[14]/72 + (13*d[15])/24 + (23*d[16])/18 - (73*d[17])/72 + 
       (95*d[18])/72 - (13*d[19])/24 - (23*d[20])/12 - (181*d[21])/72 - 
       (41*d[22])/72 + (101*d[23])/144 + (59*d[24])/48 + (5*d[26])/9 - 
       d[27]/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2 + 
     (-d[4]/6 + d[5]/12 + d[6]/16 + (21*d[7])/32 + (29*d[8])/32 - 
       (95*d[9])/96 - (7*d[10])/8 - (13*d[11])/48 - (19*d[12])/48 - 
       d[13]/24 + (23*d[14])/48 + d[15]/48 - d[16]/6 + (3*d[17])/8 - 
       d[18]/2 - d[19]/48 + (263*d[20])/96 + (11*d[21])/48 - d[22]/48 + 
       (39*d[23])/32 - (57*d[24])/64 + d[27]/6)*HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w]^2 + ((3*d[5])/8 + (7*d[6])/32 + d[7]/8 - d[8]/2 + 
       d[9]/2 + d[10]/8 - (5*d[12])/8 + d[13]/4 - d[14]/4 + d[15]/16 + 
       (5*d[16])/4 + (3*d[17])/8 - (3*d[18])/8 - (5*d[19])/16 + d[20]/16 + 
       d[21]/16 - d[22]/16 + (19*d[23])/16 + (181*d[24])/64 - d[26]/8 - 
       d[27]/8 - d[33]/4 + d[34]/4)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^3 + 
     ((-2*d[5])/3 - (13*d[6])/96 - (3*d[7])/32 + (71*d[8])/96 - 
       (55*d[9])/96 + (11*d[10])/12 - (9*d[11])/16 - (23*d[12])/12 - 
       d[13]/6 + (3*d[14])/4 - (2*d[15])/3 - (4*d[16])/3 + d[17]/4 - d[18] + 
       d[19] - (151*d[20])/96 + (7*d[21])/12 + d[22]/3 + (35*d[23])/32 - 
       (3*d[24])/2 + d[26]/12 - d[27]/6 + d[33]/3 - d[34]/3)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3 + 
     ((-11*d[2])/54 + (13*d[4])/12 + (53*d[6])/48 + (53*d[7])/72 + 
       (13*d[8])/72 + (3*d[9])/8 - (13*d[10])/12 - (19*d[11])/12 - 
       (17*d[12])/24 - (7*d[13])/18 + d[14]/72 + (5*d[15])/24 + 
       (23*d[16])/18 - (169*d[17])/72 + (143*d[18])/72 - (5*d[19])/24 - 
       d[20]/6 - (205*d[21])/72 + (7*d[22])/72 - (235*d[23])/144 - 
       (217*d[24])/48 + d[26]/12 - (10*d[27])/9)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3 + 
     (-d[2]/9 + d[4]/36 - (7*d[5])/18 - (5*d[6])/144 + (7*d[7])/288 + 
       (41*d[8])/96 - (119*d[9])/288 + (5*d[10])/12 - (85*d[11])/144 + 
       (5*d[12])/288 - (11*d[13])/36 - d[14]/9 + (11*d[15])/24 - 
       (23*d[16])/18 + (3*d[17])/4 - (3*d[18])/2 - (5*d[19])/24 + 
       (67*d[20])/24 - (13*d[21])/24 - (11*d[22])/24 + (11*d[23])/18 - 
       (43*d[24])/32 + (7*d[26])/72 + (7*d[27])/72 + d[33]/4 - d[34]/4)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3 + 
     (d[2]/12 - (3*d[5])/8 - d[7]/8 + d[8]/2 - d[9]/2 + d[10] - d[11]/8 + 
       (9*d[12])/32 - d[13]/4 + d[14]/4 + d[15]/16 - (3*d[16])/2 + d[17]/4 - 
       d[18]/2 + (3*d[19])/16 - (17*d[20])/32 + (3*d[21])/16 - d[22]/16 - 
       (15*d[23])/32 - (83*d[24])/64 + d[27]/8 + d[33]/4 - d[34]/4)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4 + 
     (-d[2]/9 + d[5]/12 - d[7]/8 + (5*d[8])/24 - (5*d[9])/24 + d[11]/12 + 
       (5*d[12])/24 + d[13]/12 - (3*d[14])/4 - (10*d[15])/3 + d[17]/2 + 
       (10*d[19])/3 + (5*d[20])/6 + (10*d[21])/3 + (10*d[22])/3 - 
       (91*d[23])/24 - (49*d[24])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^4 + ((13*d[2])/72 + (3*d[5])/8 + (11*d[6])/48 - 
       (7*d[8])/24 + (7*d[9])/24 - (5*d[10])/6 + (3*d[11])/8 - 
       (89*d[12])/96 + (5*d[13])/24 - d[14]/48 - (13*d[15])/48 + 
       (7*d[16])/6 + (5*d[17])/8 - d[18] + d[19]/48 + (119*d[20])/32 + 
       (25*d[21])/48 + (13*d[22])/48 + (167*d[23])/96 - (13*d[24])/192 - 
       d[26]/6 - d[27]/8 - d[33]/4 + d[34]/4)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^4 + (d[14]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5)/10 + 
     ((-2*d[4])/3 - (13*d[6])/12 - (2*d[12])/3 + d[15]/3 + (25*d[17])/3 - 
       (29*d[18])/3 - d[19]/3 + (7*d[21])/3 - (5*d[22])/3 + d[23]/3 + 
       3*d[24])*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - u] + 
     ((2*d[4])/3 - d[5]/3 - d[6]/2 - d[7]/12 - d[8]/12 + (5*d[9])/12 + 
       (7*d[10])/6 - (5*d[11])/6 + (3*d[12])/4 + (5*d[15])/12 + (2*d[16])/3 - 
       8*d[17] + (21*d[18])/2 - (5*d[19])/12 - (31*d[20])/24 - 
       (41*d[21])/12 + (7*d[22])/12 - (17*d[23])/24 - (5*d[24])/48 - 
       (2*d[27])/3)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u] + 
     (-d[3]/2 + (11*d[4])/18 + (419*d[6])/144 - (5*d[7])/16 - (5*d[8])/16 + 
       (5*d[9])/16 - (197*d[10])/48 + (29*d[11])/48 + (107*d[12])/72 + 
       (151*d[15])/144 + (15*d[16])/8 + (19*d[17])/9 - (103*d[18])/18 - 
       (151*d[19])/144 - (77*d[20])/48 - (155*d[21])/36 - (119*d[22])/144 - 
       (161*d[23])/144 - (191*d[24])/48 + (15*d[26])/16)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     (d[3]/3 - (5*d[4])/18 - (23*d[5])/72 + (69*d[6])/16 + (79*d[7])/72 + 
       (35*d[8])/9 - (71*d[9])/18 - d[10]/9 - (89*d[11])/72 - (47*d[12])/24 - 
       d[13]/4 - d[14]/4 - (71*d[15])/72 - (83*d[16])/18 - (11*d[17])/4 + 
       (35*d[18])/12 + (101*d[19])/72 + (773*d[20])/72 + (263*d[21])/72 + 
       (107*d[22])/72 + (43*d[23])/72 - (3685*d[24])/288 - (5*d[26])/6 + 
       (59*d[27])/72 + (5*d[33])/12 - (5*d[34])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u] + 
     (-d[4]/3 + d[5]/6 + d[6]/8 - (43*d[7])/48 - (79*d[8])/48 + 
       (71*d[9])/48 + (2*d[10])/3 + (37*d[11])/24 + (11*d[12])/16 + 
       d[13]/16 - (7*d[14])/16 - (11*d[15])/24 - d[16]/3 + (19*d[17])/16 - 
       2*d[18] + (11*d[19])/24 - (119*d[20])/48 + (23*d[21])/24 + 
       (11*d[22])/24 - (85*d[23])/48 + (137*d[24])/96 + d[27]/3)*
      HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u] + 
     ((-3*d[3])/4 - (17*d[6])/24 - d[10]/3 - d[11]/3 + (19*d[12])/6 + 
       (5*d[15])/12 + (2*d[16])/3 - 8*d[17] + (21*d[18])/2 - (5*d[19])/12 - 
       (31*d[20])/24 - (41*d[21])/12 + (7*d[22])/12 - (17*d[23])/24 - 
       (5*d[24])/48 + d[26]/3)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u] + (-d[2]/2 - (8*d[4])/3 - (49*d[6])/6 - d[7]/3 - 
       d[8]/3 + d[9]/3 - (8*d[10])/3 + (5*d[11])/3 - (25*d[12])/2 - 7*d[15] + 
       24*d[17] - 38*d[18] + (20*d[19])/3 - (8*d[20])/3 + (49*d[21])/3 + 
       d[22] + (137*d[23])/12 + (7*d[24])/4)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (d[2]/6 + (7*d[4])/2 - (4*d[5])/3 - (259*d[6])/144 + (31*d[7])/6 + 
       (11*d[8])/4 - (7*d[9])/6 + (79*d[10])/18 - (349*d[11])/36 + 
       (25*d[12])/18 - d[13]/3 - d[14]/3 + (769*d[15])/72 + (32*d[16])/9 + 
       (38*d[18])/3 - (781*d[19])/72 + (203*d[20])/18 - (1009*d[21])/72 - 
       (769*d[22])/72 + (61*d[23])/18 + (7601*d[24])/288 - (11*d[26])/36 - 
       (13*d[27])/4 - d[33]/6 + d[34]/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((2*d[2])/9 - d[4]/9 + (31*d[5])/36 - d[6]/144 + (5*d[7])/18 - d[8]/12 + 
       d[9]/36 - (17*d[10])/9 + (23*d[11])/36 - (71*d[12])/48 + (5*d[13])/9 - 
       d[14]/3 - (7*d[15])/12 + (25*d[16])/9 + d[19]/12 - (1607*d[20])/144 + 
       (5*d[21])/12 + (7*d[22])/12 - (641*d[23])/144 - (39*d[24])/16 - 
       d[26]/18 - (5*d[27])/36 - d[33]/2 + d[34]/2)*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (d[3] + (19*d[4])/8 - (15*d[5])/16 + (19*d[6])/12 + (15*d[7])/16 + 
       (15*d[8])/16 + (125*d[10])/48 - (155*d[11])/48 - (37*d[12])/16 + 
       (61*d[15])/48 + (15*d[16])/8 + 3*d[17] - (37*d[18])/6 - 
       (61*d[19])/48 - (133*d[20])/48 - (49*d[21])/12 - (61*d[22])/48 + 
       (7*d[23])/16 - (7*d[24])/48 - (15*d[27])/8)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (d[2]/6 - d[3]/3 - (5*d[4])/6 + d[5]/4 - (101*d[6])/48 + (13*d[7])/24 - 
       (35*d[8])/24 + (29*d[9])/24 - (5*d[10])/2 - (7*d[11])/12 + 
       (217*d[12])/24 - d[13]/2 + (87*d[15])/8 + (8*d[16])/3 - d[17]/6 + 
       13*d[18] - (87*d[19])/8 + (85*d[20])/8 - (341*d[21])/24 - 
       (87*d[22])/8 + (73*d[23])/24 + (827*d[24])/32 + (19*d[26])/12 + 
       d[27]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + (-d[2]/2 + d[4]/3 - (7*d[5])/6 - (5*d[6])/12 - 
       (11*d[7])/6 + (3*d[8])/2 - d[9] + (11*d[10])/6 + (7*d[12])/6 + d[13] + 
       (5*d[14])/6 + 4*d[15] - (10*d[16])/3 - 3*d[17] + 4*d[18] - 
       (10*d[19])/3 - (7*d[20])/8 - (13*d[21])/3 - 4*d[22] + (16*d[23])/3 + 
       (43*d[24])/8 + d[26]/6 + d[28]/6 + (2*d[30])/3 + (2*d[33])/3 - 
       (2*d[34])/3)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     ((2*d[2])/3 - (11*d[4])/6 - d[5]/24 + (7*d[6])/16 - (15*d[7])/8 + 
       (19*d[8])/12 - (29*d[9])/12 + (15*d[10])/4 + (59*d[11])/24 - 
       (17*d[12])/24 - (5*d[13])/12 + d[14]/12 - d[15]/8 - (11*d[16])/2 - 
       d[17]/4 + (23*d[18])/12 + (17*d[19])/24 + (79*d[20])/12 + 
       (33*d[21])/8 - d[22]/24 + (59*d[23])/12 - (59*d[24])/32 - d[26]/4 + 
       (47*d[27])/24 + (7*d[33])/12 - (7*d[34])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     ((-8*d[2])/27 + (2*d[4])/9 - d[5]/9 + (17*d[6])/144 - (43*d[7])/144 + 
       (85*d[8])/144 - (23*d[9])/48 - d[10]/6 - (29*d[11])/72 + (5*d[12])/6 + 
       d[13]/18 + (2*d[14])/3 + d[16]/9 - d[17]/2 + d[18] - 
       (1889*d[20])/144 - d[21]/6 - (791*d[23])/144 - (49*d[24])/12 - 
       d[26]/18 - (2*d[27])/9)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - u] + (-d[1]/48 - (5*d[2])/48 - (11*d[5])/16 + d[7]/8 + 
       (3*d[8])/8 - (3*d[9])/8 + 2*d[10] - d[11]/2 + (25*d[12])/16 - 
       (7*d[13])/16 + (9*d[14])/16 + d[15]/8 - 3*d[16] + (11*d[17])/16 - 
       d[18] + (3*d[19])/8 - (71*d[20])/16 + (3*d[21])/8 - d[22]/8 - 
       (45*d[23])/16 - (7*d[24])/32 + d[27]/4 + d[33]/2 - d[34]/2)*
      HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u] + 
     ((2*d[4])/3 + (17*d[6])/6 + (2*d[12])/3 - d[15]/3 - (25*d[17])/3 + 
       (29*d[18])/3 + d[19]/3 - (7*d[21])/3 + (5*d[22])/3 - (4*d[23])/3 - 
       4*d[24])*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]^2 + 
     (d[3]/2 - (5*d[4])/3 + d[5]/3 + (3*d[6])/4 + d[7]/12 + d[8]/12 - 
       (5*d[9])/12 - (95*d[10])/12 + (47*d[11])/24 - (3*d[12])/4 - 
       (29*d[15])/12 - (2*d[16])/3 + (51*d[17])/8 - (89*d[18])/8 + 
       (8*d[19])/3 + (181*d[20])/24 + (25*d[21])/6 + (29*d[22])/12 - 
       (37*d[23])/6 - (413*d[24])/24 + (2*d[27])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     (d[4] - d[5]/2 - d[6]/2 - d[7]/8 - d[8]/8 + (5*d[9])/8 + (15*d[10])/4 - 
       3*d[11] - (9*d[12])/8 - (11*d[14])/8 + (13*d[15])/16 + d[16] - 
       (25*d[17])/16 + (51*d[18])/16 - (7*d[19])/8 + (37*d[20])/16 - 
       (19*d[21])/8 - (7*d[22])/8 + (17*d[23])/8 + (21*d[24])/8 - d[27])*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2 + 
     (d[4]/12 - (29*d[6])/8 + (13*d[10])/3 - (2*d[11])/3 + (7*d[12])/6 - 
       (13*d[15])/12 - (2*d[16])/3 + (281*d[17])/24 - (331*d[18])/24 + 
       (4*d[19])/3 + (13*d[20])/24 + (11*d[21])/2 - d[22]/4 + (19*d[23])/6 + 
       (139*d[24])/24 - (11*d[26])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2 + (-d[4]/3 + 3*d[5] + (11*d[6])/24 + (5*d[7])/6 - 
       (14*d[8])/3 + (25*d[9])/6 - (20*d[10])/3 + (3*d[11])/2 - (3*d[12])/2 + 
       (7*d[13])/3 - (2*d[14])/3 - 3*d[15] + (67*d[16])/6 - 4*d[17] + 
       10*d[18] + d[19] + (11*d[20])/6 + (8*d[21])/3 + (10*d[22])/3 - 
       4*d[23] + (15*d[24])/2 - d[26]/2 - (2*d[27])/3 + d[28]/3 + d[29]/6 + 
       (4*d[30])/3 - (7*d[33])/3 + (7*d[34])/3)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     (d[2]/2 - (3*d[5])/2 - (23*d[6])/24 - d[7]/2 + 2*d[8] - 2*d[9] + 
       (19*d[10])/6 - (4*d[11])/3 + (17*d[12])/12 - d[13] + (5*d[14])/8 + 
       (95*d[15])/48 - (13*d[16])/3 - (41*d[17])/16 + (83*d[18])/16 - 
       (25*d[19])/24 - (77*d[20])/48 - (85*d[21])/24 - (49*d[22])/24 + 
       d[23]/24 - (2*d[24])/3 - d[25]/16 + (5*d[26])/6 + d[27]/2 + d[33] - 
       d[34])*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2 + 
     (d[4]/6 - (7*d[6])/6 + 2*d[10] - d[11]/2 + d[12]/6 + d[15]/6 - 
       (17*d[17])/6 + (25*d[18])/6 - d[19]/6 - (7*d[20])/4 - (5*d[21])/6 + 
       d[22]/6 + (13*d[23])/6 + (17*d[24])/4)*HPL[{1}, 1 - u]^4*
      HPL[{0, 1}, 1 - v] + (d[3]/2 + (7*d[4])/18 + d[5]/12 + (745*d[6])/144 - 
       d[7]/24 - d[8]/24 - d[9]/24 + d[10]/4 - d[11]/12 - (5*d[12])/72 + 
       d[14]/2 - (845*d[15])/72 - d[16]/6 + (47*d[17])/36 - (103*d[18])/36 + 
       (845*d[19])/72 + (227*d[20])/24 + (847*d[21])/72 + (853*d[22])/72 - 
       (475*d[23])/36 - (2899*d[24])/96 + d[27]/6)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     ((-3*d[3])/8 - (5*d[4])/9 + (145*d[5])/36 - (8*d[6])/3 + 
       (223*d[7])/144 - (821*d[8])/144 + (637*d[9])/144 - (1139*d[10])/144 + 
       (97*d[11])/144 + (7*d[12])/6 + d[13] - (7*d[14])/12 + 
       (1147*d[15])/144 + (977*d[16])/72 - (79*d[17])/12 + (137*d[18])/12 - 
       (1507*d[19])/144 - (811*d[20])/144 - (905*d[21])/72 - 
       (1003*d[22])/144 + (919*d[23])/144 + (8221*d[24])/288 + (5*d[26])/16 - 
       (25*d[27])/36 - (5*d[33])/2 + (5*d[34])/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v] + 
     ((-2*d[4])/3 - (15*d[5])/8 - (23*d[6])/8 - (11*d[7])/8 + 3*d[8] - 
       (9*d[9])/4 + (5*d[10])/12 + (15*d[11])/8 + (7*d[12])/4 - 
       (17*d[13])/12 + (5*d[14])/4 - (4*d[15])/3 - 7*d[16] + (37*d[17])/6 - 
       (28*d[18])/3 + (31*d[19])/12 - (29*d[20])/4 + (17*d[21])/4 + d[22]/2 - 
       (7*d[23])/6 - (25*d[24])/8 + (5*d[27])/8 + (5*d[33])/4 - (5*d[34])/4)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v] + 
     ((2*d[4])/3 - d[5]/3 - d[6]/4 - d[7]/48 - d[8]/48 + (17*d[9])/48 + 
       (37*d[10])/24 - (47*d[11])/24 - (7*d[12])/8 + (3*d[13])/16 - 
       (3*d[14])/16 + (5*d[15])/12 + (2*d[16])/3 - (3*d[17])/2 + 3*d[18] - 
       (5*d[19])/12 + (49*d[20])/48 - (17*d[21])/12 - (5*d[22])/12 + 
       (13*d[23])/24 + (13*d[24])/12 - (2*d[27])/3)*HPL[{1}, 1 - v]^4*
      HPL[{0, 1}, 1 - v] + (-d[4]/3 - (3*d[5])/4 - (73*d[6])/48 - d[7]/4 + 
       d[8] - d[9] + (25*d[10])/12 - (5*d[12])/4 - d[13]/2 + d[14]/2 - 
       (5*d[15])/8 - (19*d[16])/6 + (25*d[17])/6 - (16*d[18])/3 + 
       (9*d[19])/8 - (7*d[20])/12 + (65*d[21])/24 - d[22]/24 + d[23]/2 - 
       (125*d[24])/96 - d[26]/12 + d[27]/4 + d[33]/2 - d[34]/2)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (-d[2]/6 - (19*d[4])/6 - (3*d[5])/4 - (1109*d[6])/144 - d[7] + 
       (13*d[8])/12 - (19*d[9])/12 + (59*d[10])/18 + (43*d[11])/36 - 
       (53*d[12])/144 - d[13]/3 - d[14]/3 + (187*d[15])/36 - (109*d[16])/18 + 
       (79*d[17])/3 - (79*d[18])/3 - (145*d[19])/36 + (1493*d[20])/144 + 
       (251*d[21])/36 - (331*d[22])/36 + (1519*d[23])/144 + 
       (3029*d[24])/144 - (5*d[26])/18 + (17*d[27])/12 + (5*d[33])/6 - 
       (5*d[34])/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + (-d[2]/6 + (19*d[4])/6 - (9*d[5])/4 - (7*d[6])/3 - 
       (2*d[7])/3 + (4*d[8])/3 + d[9]/4 + (29*d[10])/4 - (23*d[11])/4 - 
       (5*d[12])/3 + (7*d[13])/6 - d[14] + (7*d[15])/12 + (19*d[16])/6 - 
       (37*d[17])/3 + (58*d[18])/3 - (7*d[19])/12 - (303*d[20])/8 - 
       (20*d[21])/3 + d[22]/12 - (49*d[23])/3 + (31*d[24])/24 - (19*d[27])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (-d[3]/6 + d[5]/6 - (7*d[6])/72 + (37*d[7])/18 + (7*d[8])/6 - 
       (7*d[9])/6 - (7*d[10])/4 + (17*d[11])/36 + (25*d[12])/18 - d[13]/2 + 
       (5*d[14])/2 + (2*d[15])/9 + d[16]/6 - (13*d[17])/18 + (10*d[18])/9 - 
       (2*d[19])/9 + (331*d[20])/72 - (17*d[21])/36 - (2*d[22])/9 + 5*d[23] + 
       (227*d[24])/144 + d[26]/12)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + (-d[2]/6 - d[3]/12 - (5*d[4])/4 - (13*d[6])/6 - 
       d[9]/6 - (7*d[10])/24 - (11*d[11])/24 + (5*d[12])/4 + d[13]/2 - 
       (3*d[14])/2 + (19*d[15])/12 + (9*d[16])/8 + 3*d[17] - (11*d[18])/3 - 
       (13*d[19])/8 + (7*d[20])/6 - d[21]/6 - (79*d[22])/24 + d[23]/2 + 
       (19*d[24])/4 + d[26]/3 + d[31]/12 + d[32]/12 - d[34]/12)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((-5*d[2])/18 - d[3]/6 + (8*d[4])/9 + (395*d[6])/72 + d[7]/3 - d[8] + 
       (7*d[9])/6 - (3*d[10])/2 - (4*d[11])/3 + (151*d[12])/18 + d[13]/6 + 
       d[14]/2 - d[15]/36 + 3*d[16] - (385*d[17])/36 + (863*d[18])/36 + 
       d[19]/36 - (145*d[20])/12 - (205*d[21])/36 + (23*d[22])/36 - 
       (127*d[23])/9 - (85*d[24])/24 + (4*d[26])/3 - d[27]/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     (d[2]/18 + d[3]/3 - (29*d[4])/36 - (79*d[5])/72 + d[6]/12 - 
       (143*d[7])/144 + (667*d[8])/144 - (659*d[9])/144 + (19*d[10])/9 - 
       (11*d[11])/9 - (43*d[12])/8 + (23*d[13])/12 - (313*d[15])/72 - 
       (215*d[16])/36 + 2*d[17] - (23*d[18])/6 + (379*d[19])/72 + 
       (1051*d[20])/72 + (463*d[21])/72 + (289*d[22])/72 + (679*d[23])/144 - 
       (5363*d[24])/288 + (73*d[27])/72 + d[28]/6 - (2*d[30])/3 + 
       (11*d[33])/12 - (11*d[34])/12)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v] + ((-2*d[2])/9 + (5*d[4])/6 + (185*d[6])/72 - 
       d[9]/9 - (13*d[10])/6 + (19*d[11])/18 + (4*d[12])/3 - d[13]/3 + 
       d[14] - (25*d[15])/36 + d[16]/12 - (46*d[17])/9 + (119*d[18])/18 + 
       (25*d[19])/36 - (7*d[20])/6 - (9*d[21])/4 + (79*d[22])/36 - 
       (47*d[23])/12 - (235*d[24])/36 + d[26]/9 + d[32]/18)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     ((5*d[2])/27 + (5*d[4])/18 + (8*d[5])/9 + (47*d[6])/72 + (7*d[7])/16 - 
       (157*d[8])/144 + (161*d[9])/144 - (43*d[10])/18 + d[11]/24 + 
       (265*d[12])/144 + d[13]/2 + (5*d[14])/6 - (5*d[15])/12 + 
       (26*d[16])/9 + (35*d[17])/18 - (11*d[18])/3 - (7*d[19])/36 + 
       (485*d[20])/36 + (7*d[21])/12 + (23*d[22])/36 + (35*d[23])/9 + 
       (71*d[24])/48 - (13*d[26])/36 - (13*d[27])/36 - (11*d[33])/18 + 
       (11*d[34])/18)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     (d[1]/36 + (7*d[2])/72 + (3*d[5])/4 + (11*d[6])/24 + d[7]/4 - d[8] + 
       d[9] - (5*d[10])/3 + (5*d[11])/8 - (83*d[12])/48 + d[13]/2 - d[14]/2 - 
       (13*d[15])/24 + (7*d[16])/3 + d[17] - 2*d[18] + d[19]/24 + 
       (89*d[20])/48 + (25*d[21])/24 + (13*d[22])/24 + (55*d[23])/48 + 
       (67*d[24])/96 - d[26]/3 - d[27]/4 - d[33]/2 + d[34]/2)*
      HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v] + 
     ((9*d[2])/4 - (22*d[4])/9 - (991*d[6])/72 + (44*d[10])/3 - 
       (11*d[11])/3 - (61*d[12])/36 + (37*d[15])/18 + (281*d[17])/36 - 
       (119*d[18])/18 - (83*d[19])/36 - (95*d[20])/6 + (38*d[21])/9 - 
       (223*d[22])/36 + (301*d[23])/18 + (253*d[24])/6)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (d[3] + (11*d[4])/9 - (13*d[5])/18 + (577*d[6])/72 - (23*d[7])/36 - 
       (23*d[8])/36 + (49*d[9])/36 - (134*d[10])/9 + (91*d[11])/36 + 
       (7*d[12])/36 + (11*d[14])/3 - (853*d[15])/36 + (13*d[16])/9 - 
       (101*d[17])/36 - (5*d[18])/36 + (835*d[19])/36 + (125*d[20])/9 + 
       (251*d[21])/12 + (93*d[22])/4 - (1159*d[23])/36 - (9463*d[24])/144 - 
       (13*d[27])/9)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((2*d[4])/9 - d[5]/9 - d[6]/12 - (41*d[7])/72 - 
       (41*d[8])/72 + (49*d[9])/72 + (44*d[10])/9 - (61*d[11])/36 - 
       (7*d[12])/6 - (35*d[14])/12 + (361*d[15])/72 + (2*d[16])/9 + 
       (11*d[17])/24 - (25*d[18])/24 - (44*d[19])/9 + (109*d[20])/36 - 
       (47*d[21])/9 - (44*d[22])/9 + (493*d[23])/72 + (1531*d[24])/144 - 
       (2*d[27])/9)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (-d[2] + (8*d[3])/3 - (10*d[4])/3 - (15*d[5])/2 - (481*d[6])/72 + d[7] + 
       8*d[8] - (55*d[9])/6 + (130*d[10])/9 - (50*d[11])/9 + (131*d[12])/18 - 
       5*d[13] + (14*d[14])/3 + (127*d[15])/36 - (152*d[16])/9 + 
       (40*d[17])/3 - (4*d[18])/3 - (55*d[19])/36 - (82*d[20])/9 + 
       (125*d[21])/36 - (319*d[22])/36 + (49*d[23])/36 + (1187*d[24])/144 + 
       (7*d[26])/18 + d[27]/3 - (4*d[31])/3 - (2*d[32])/3 + 5*d[33] - 
       (11*d[34])/3 - 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((2*d[3])/3 + (11*d[5])/6 + (133*d[6])/72 + (4*d[7])/3 - (11*d[8])/6 + 
       (13*d[9])/6 - (61*d[10])/9 + (7*d[11])/18 - (221*d[12])/72 + d[13] - 
       2*d[14] - (35*d[15])/18 + (83*d[16])/9 - (4*d[17])/3 + 4*d[18] - 
       d[19]/18 + (167*d[20])/72 - (7*d[21])/18 + (17*d[22])/18 - 
       (29*d[23])/72 + (245*d[24])/72 + d[26]/9 - (3*d[27])/2 - d[29]/3 - 
       d[33] + d[34] - d[35]/3 - 2*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((-4*d[2])/3 - (5*d[3])/6 + d[4]/3 + (3*d[5])/4 - (23*d[6])/12 - 
       (5*d[7])/3 - d[8]/12 + (17*d[9])/12 - d[10]/4 + (35*d[11])/12 + 
       (19*d[12])/6 + (2*d[13])/3 + d[14]/3 + (17*d[15])/12 - (29*d[16])/12 - 
       (25*d[17])/6 + (7*d[18])/2 - (2*d[19])/3 - (35*d[20])/8 - 
       (10*d[21])/3 - d[23] + (9*d[24])/4 + d[26]/4 + (11*d[27])/12 + 
       d[31]/6 - d[32]/6 - d[33]/2 + d[34]/3 + 2*d[36])*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (d[4]/4 - d[7]/8 - (5*d[8])/4 + (7*d[9])/8 - (3*d[10])/8 - (7*d[11])/4 + 
       d[12]/4 + d[13]/2 + (13*d[15])/8 + (9*d[16])/4 - (3*d[17])/8 + 
       (17*d[18])/8 - (15*d[19])/8 - (5*d[20])/8 - (5*d[21])/2 - 
       (11*d[22])/8 - d[23]/4 + (29*d[24])/8 + d[26]/8 - (3*d[27])/8 + 
       d[28]/4 + d[29]/8 + d[30] - d[32]/4 - d[33]/2 + d[34]/2)*
      HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v] + 
     ((3*d[2])/8 - (35*d[4])/24 - (11*d[6])/3 + 4*d[10] - d[11] - 
       (47*d[12])/24 + (3*d[13])/8 + (9*d[14])/8 + (5*d[15])/3 + 
       (3*d[16])/8 + (265*d[17])/24 - (121*d[18])/12 - (37*d[19])/24 - 
       (37*d[20])/8 + (73*d[21])/24 - (23*d[22])/6 + (14*d[23])/3 + 
       (115*d[24])/8)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^2 + 
     (d[3]/2 + 2*d[4] - (2*d[5])/3 + (49*d[6])/12 - d[7]/6 - d[8]/6 + 
       (5*d[9])/6 - (29*d[10])/12 - (37*d[11])/24 + d[12]/6 + d[14] + 
       (3*d[15])/2 + (4*d[16])/3 - (239*d[17])/24 + (325*d[18])/24 - 
       (5*d[19])/4 - (5*d[20])/6 - (77*d[21])/12 + d[22]/3 - (53*d[23])/8 - 
       (385*d[24])/48 - (4*d[27])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]^2 + ((-2*d[4])/3 + d[5]/3 + d[6]/4 - d[7]/24 - 
       d[8]/24 - (7*d[9])/24 - (17*d[10])/12 + (5*d[11])/6 + d[12]/8 - 
       (3*d[14])/8 - (5*d[15])/48 - (2*d[16])/3 + (31*d[17])/16 - 
       (61*d[18])/16 + d[19]/24 + (101*d[20])/48 + (25*d[21])/24 + d[22]/24 + 
       (4*d[23])/3 - (73*d[24])/48 + (2*d[27])/3)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]^2 + (-d[2]/6 + d[3]/2 - d[4]/2 - (3*d[5])/2 + 
       (13*d[6])/24 - d[7]/2 + 2*d[8] - d[9] - d[10]/2 + d[11] + 
       (55*d[12])/12 - (7*d[13])/6 + d[14]/2 - (13*d[15])/6 - 5*d[16] - 
       (7*d[17])/12 + (17*d[18])/12 + (10*d[19])/3 + (45*d[20])/8 + 
       (29*d[21])/12 + (5*d[22])/3 - (161*d[23])/24 - (995*d[24])/48 + 
       (13*d[26])/12 + d[27]/2 - d[31]/2 + d[32]/6 + d[33] - d[34]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     ((-2*d[4])/3 + (5*d[5])/3 + (2*d[6])/3 + d[7]/2 - (5*d[8])/2 + 
       (11*d[9])/6 - (3*d[10])/4 + d[11]/4 - 6*d[12] + 4*d[13] - 
       (4*d[14])/3 - d[15]/6 + 6*d[16] + d[17]/2 - d[18]/3 - (5*d[19])/6 + 
       (115*d[20])/24 + (19*d[21])/12 + d[22]/2 + (41*d[23])/8 + 
       (307*d[24])/48 - (7*d[26])/12 + d[27]/6 + d[28]/3 + d[29]/6 - 
       (4*d[30])/3 - (4*d[33])/3 + (4*d[34])/3)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     (d[2]/6 + d[3]/4 + d[4]/12 + (3*d[5])/2 - (5*d[6])/6 + d[7]/2 - 2*d[8] + 
       (11*d[9])/6 - (17*d[10])/4 - (7*d[11])/12 - (17*d[12])/12 + 
       (5*d[13])/6 - (2*d[14])/3 + d[15]/12 + (79*d[16])/12 - (11*d[17])/6 + 
       (31*d[18])/12 - (5*d[19])/4 + (7*d[20])/3 - (3*d[21])/2 + d[22]/12 + 
       (29*d[23])/24 + (301*d[24])/48 - d[25]/12 + (5*d[26])/24 - d[27]/2 - 
       d[31]/4 - d[32]/4 - d[33] + (5*d[34])/4)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]^2 + ((5*d[3])/4 - d[4]/2 - (3*d[5])/4 + d[6]/4 + 
       d[7]/8 + d[8]/4 + d[9]/8 + (5*d[10])/8 - d[11] + d[12]/4 - d[13]/2 - 
       d[14]/4 + (9*d[15])/8 - (11*d[16])/8 - (5*d[17])/8 + (15*d[18])/8 - 
       (11*d[19])/8 - (11*d[20])/8 - (5*d[21])/4 - (11*d[22])/8 - 
       (3*d[23])/4 - d[24]/2 - d[26]/8 - d[27]/8 - d[29]/8 + d[32]/4 + 
       d[33]/2 - (3*d[34])/4 - d[35]/2 - 3*d[36])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2 + (-d[3]/4 + d[4]/6 - d[5]/6 - d[6]/12 - d[7]/6 - 
       d[8]/3 + d[9]/6 + d[10]/4 - d[12]/4 + (5*d[13])/6 - d[14]/6 + 
       d[15]/6 + (2*d[16])/3 + d[17]/12 - (7*d[18])/12 - d[19]/6 + d[20]/8 - 
       (5*d[21])/12 - d[22]/12 + (5*d[23])/12 + (11*d[24])/24 + d[26]/12 + 
       d[28]/12 + d[29]/24 - d[30]/3 + d[32]/12 - d[33]/12 - d[34]/12)*
      HPL[{0, 1}, 1 - v]^3 + (d[4]/2 + (9*d[6])/4 - 2*d[10] + d[11]/2 + 
       d[12]/2 - d[15]/2 - (11*d[17])/2 + (11*d[18])/2 + d[19]/2 + 
       (7*d[20])/4 - (3*d[21])/2 + (3*d[22])/2 - (5*d[23])/2 - (29*d[24])/4)*
      HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - w] + 
     (-d[3]/6 - d[4] + d[5]/4 - (77*d[6])/48 - d[7]/24 + d[8]/8 - 
       (3*d[9])/8 + (5*d[10])/12 + d[11]/2 - (11*d[12])/24 - d[14]/2 - 
       (29*d[15])/24 - d[16]/2 + (14*d[17])/3 - (19*d[18])/3 + 
       (29*d[19])/24 + (11*d[20])/8 + (79*d[21])/24 + (13*d[22])/24 + 
       (37*d[23])/24 + (11*d[24])/32 + d[27]/2)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-5*d[3])/12 + d[4]/12 - (11*d[5])/24 - (4*d[6])/3 - (7*d[7])/24 - 
       (5*d[8])/8 + d[9]/6 + (9*d[10])/8 - (5*d[11])/12 + d[12]/6 + d[13]/2 - 
       (3*d[14])/2 + (19*d[15])/12 + (9*d[16])/8 + 3*d[17] - (11*d[18])/3 - 
       (13*d[19])/8 + (7*d[20])/6 - d[21]/6 - (79*d[22])/24 + d[23]/2 + 
       (19*d[24])/4 - d[27]/3 + d[31]/12 + d[32]/12 - d[34]/12)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     ((-5*d[3])/36 + d[4]/2 - d[5]/6 - (43*d[6])/72 - (4*d[7])/9 - d[8]/9 + 
       (5*d[9])/6 + (7*d[10])/3 - (17*d[11])/18 - d[13]/3 + d[14] - 
       d[15]/36 + d[16]/12 - (22*d[17])/9 + (95*d[18])/18 + d[19]/36 - 
       (14*d[20])/3 - (19*d[21])/12 + (31*d[22])/36 + (3*d[23])/4 + 
       (179*d[24])/36 - (4*d[27])/9 + d[32]/18)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w] + 
     ((-3*d[4])/8 + d[5]/6 + d[6]/8 + (17*d[7])/48 + (17*d[8])/48 - 
       (25*d[9])/48 - (31*d[10])/24 + (19*d[11])/24 + d[12]/8 + d[14]/2 + 
       d[15]/24 - d[16]/3 + d[17]/2 - d[18] - d[19]/24 - (5*d[20])/48 + 
       (11*d[21])/24 - d[22]/24 + (5*d[23])/48 - (91*d[24])/96 + d[27]/3)*
      HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w] + 
     (-d[3]/4 + (2*d[4])/3 + (3*d[5])/4 + (103*d[6])/16 + d[7]/4 - d[8] + 
       d[9] - (77*d[10])/12 + (5*d[11])/3 - (19*d[12])/12 + d[13]/2 - 
       d[14]/2 - (301*d[15])/24 + (5*d[16])/2 + (11*d[17])/12 - 
       (41*d[18])/12 + (289*d[19])/24 + (151*d[20])/12 + (97*d[21])/8 + 
       (103*d[22])/8 - (329*d[23])/24 - (3109*d[24])/96 - d[26]/4 - d[27]/4 - 
       d[33]/2 + d[34]/2)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + ((-5*d[4])/2 - (2*d[5])/3 - (473*d[6])/48 + 
       (5*d[7])/16 + (103*d[8])/48 - (37*d[9])/16 + (47*d[10])/6 - d[11]/8 - 
       d[12]/2 - d[13]/6 - (2*d[14])/3 + 5*d[15] - (31*d[16])/6 + 
       (53*d[17])/2 - (80*d[18])/3 - 4*d[19] + (529*d[20])/48 + 
       (43*d[21])/6 - 9*d[22] + (523*d[23])/48 + (259*d[24])/12 - d[26]/2 + 
       d[27] + (2*d[33])/3 - (2*d[34])/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((59*d[4])/18 - (4*d[5])/3 + (241*d[6])/72 + d[7]/3 - (2*d[8])/3 + 
       2*d[9] + (17*d[10])/2 - 5*d[11] - (11*d[12])/9 + d[13]/6 + d[14]/2 + 
       (7*d[15])/36 + 3*d[16] - (353*d[17])/36 + (847*d[18])/36 - 
       (7*d[19])/36 - (53*d[20])/4 - (197*d[21])/36 + (7*d[22])/36 - 
       (113*d[23])/9 + (7*d[24])/24 + d[26]/6 - (8*d[27])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (-d[3]/18 - (11*d[4])/18 + (2*d[5])/9 - d[6]/8 + (235*d[7])/144 + 
       (23*d[8])/16 - (299*d[9])/144 - (4*d[10])/3 + (37*d[11])/24 + 
       (221*d[12])/144 - d[13]/6 + (13*d[14])/6 + (13*d[15])/36 - 
       (2*d[16])/3 + (23*d[17])/18 - (7*d[18])/3 - (11*d[19])/36 + 
       (391*d[20])/36 - (7*d[21])/36 - (5*d[22])/36 + (5*d[23])/2 - 
       (103*d[24])/144 + (7*d[26])/36 + (23*d[27])/36 + d[33]/18 - d[34]/18)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((2*d[2])/3 + (5*d[4])/8 + (59*d[5])/16 - (83*d[6])/48 + (79*d[7])/48 - 
       (241*d[8])/48 + (16*d[9])/3 - (337*d[10])/48 - d[11]/48 + 
       (199*d[12])/48 + (7*d[13])/6 - (11*d[14])/12 + (373*d[15])/48 + 
       (347*d[16])/24 - (77*d[17])/12 + (133*d[18])/12 - (167*d[19])/16 - 
       (239*d[20])/48 - (99*d[21])/8 - (325*d[22])/48 + (323*d[23])/48 + 
       (931*d[24])/32 - d[26]/3 - (47*d[27])/24 - (8*d[33])/3 + (8*d[34])/3)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (d[2]/3 + d[5]/3 - (11*d[6])/6 - (4*d[7])/3 + (2*d[8])/3 - (2*d[9])/3 - 
       (61*d[10])/12 - (7*d[11])/12 + (27*d[12])/4 + (7*d[13])/6 - d[14] + 
       (7*d[15])/12 + (19*d[16])/6 - (37*d[17])/3 + (58*d[18])/3 - 
       (7*d[19])/12 - (303*d[20])/8 - (20*d[21])/3 + d[22]/12 - 
       (49*d[23])/3 + (31*d[24])/24 + (19*d[26])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (-d[4]/12 - (13*d[5])/8 + (13*d[6])/18 - (5*d[7])/2 + (29*d[8])/8 - 
       (25*d[9])/8 + (59*d[10])/36 - (101*d[11])/72 - (319*d[12])/144 + 
       (7*d[13])/4 + d[14]/3 - (299*d[15])/72 - (247*d[16])/36 + 
       (11*d[17])/6 - (7*d[18])/2 + (377*d[19])/72 + (251*d[20])/18 + 
       (449*d[21])/72 + (275*d[22])/72 + (629*d[23])/144 - (5521*d[24])/288 - 
       (2*d[26])/9 + (13*d[27])/24 + d[28]/6 - (2*d[30])/3 + (13*d[33])/12 - 
       (13*d[34])/12)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w] + ((-11*d[2])/36 - d[4]/6 - (61*d[5])/24 - 
       (65*d[6])/24 - (7*d[7])/8 + (35*d[8])/12 - (35*d[9])/12 + 5*d[10] - 
       (11*d[11])/24 - (7*d[12])/12 - (17*d[13])/12 + (5*d[14])/4 - 
       (4*d[15])/3 - 7*d[16] + (37*d[17])/6 - (28*d[18])/3 + (31*d[19])/12 - 
       (29*d[20])/4 + (17*d[21])/4 + d[22]/2 - (7*d[23])/6 - (25*d[24])/8 + 
       (5*d[27])/8 + (5*d[33])/4 - (5*d[34])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w] + 
     ((-7*d[2])/18 + d[4]/6 - d[5]/12 - d[6]/4 + (7*d[7])/18 - d[8]/2 + 
       (7*d[9])/12 + (17*d[10])/12 + (5*d[11])/36 - (29*d[12])/12 - d[13]/2 + 
       (5*d[14])/2 + (2*d[15])/9 + d[16]/6 - (13*d[17])/18 + (10*d[18])/9 - 
       (2*d[19])/9 + (331*d[20])/72 - (17*d[21])/36 - (2*d[22])/9 + 5*d[23] + 
       (227*d[24])/144 - d[27]/6)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - w] + (-d[1]/48 - d[2]/12 + (3*d[5])/16 - (11*d[6])/24 - 
       d[10]/3 - d[11]/3 + (29*d[12])/48 + (3*d[13])/16 - (3*d[14])/16 + 
       (5*d[15])/12 + (2*d[16])/3 - (3*d[17])/2 + 3*d[18] - (5*d[19])/12 + 
       (49*d[20])/48 - (17*d[21])/12 - (5*d[22])/12 + (13*d[23])/24 + 
       (13*d[24])/12 + d[26]/3)*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w] + 
     ((3*d[4])/2 + (271*d[6])/24 - (44*d[10])/3 + (31*d[11])/6 + 
       (3*d[12])/2 - (17*d[15])/6 - (47*d[17])/4 + (19*d[18])/6 + 
       (31*d[19])/12 + (59*d[20])/6 - (2*d[21])/3 + (43*d[22])/12 - 
       (35*d[23])/2 - (253*d[24])/6)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + (d[2] + (8*d[3])/3 - (16*d[4])/3 - (2*d[5])/3 - 
       (209*d[6])/24 + (73*d[7])/12 + (15*d[8])/4 - (61*d[9])/12 + 
       (21*d[10])/2 + (11*d[11])/6 - (13*d[12])/12 - (4*d[13])/3 - 
       (8*d[14])/3 - (3*d[15])/4 + (8*d[16])/3 + 17*d[17] - (26*d[18])/3 - 
       (11*d[19])/12 + (21*d[20])/4 + (31*d[21])/4 - (55*d[22])/12 + 
       9*d[23] + (325*d[24])/16 + d[26]/2 + (4*d[27])/3 - (4*d[31])/3 - 
       (2*d[32])/3 + (4*d[33])/3 - 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-5*d[2])/6 - (3*d[3])/2 + (19*d[4])/6 - d[5]/4 - (11*d[6])/12 - 
       (49*d[7])/12 - (25*d[8])/12 + (25*d[9])/12 + (25*d[10])/12 - 
       (49*d[11])/12 + d[12]/6 + (2*d[13])/3 + d[14]/3 + (17*d[15])/12 - 
       (29*d[16])/12 - (25*d[17])/6 + (7*d[18])/2 - (2*d[19])/3 - 
       (35*d[20])/8 - (10*d[21])/3 - d[23] + (9*d[24])/4 - d[26]/3 - 
       (3*d[27])/4 + d[31]/6 - d[32]/6 - d[33]/2 + d[34]/3 + 2*d[36])*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-13*d[4])/6 + (11*d[5])/2 - (121*d[6])/8 + (11*d[7])/6 - (22*d[8])/3 + 
       (22*d[9])/3 + d[10]/2 - (4*d[11])/3 - (37*d[12])/6 + (11*d[13])/3 - 
       (11*d[14])/3 - (277*d[15])/12 + 21*d[16] + (245*d[17])/12 - 
       (69*d[18])/4 + (227*d[19])/12 + (31*d[20])/12 + (361*d[21])/12 + 
       (71*d[22])/4 + (29*d[23])/3 + (491*d[24])/16 - d[26]/4 - 
       (11*d[27])/6 - (11*d[33])/3 + (11*d[34])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((2*d[3])/3 + 2*d[4] - 4*d[5] - (7*d[6])/24 - (3*d[7])/8 + (45*d[8])/8 - 
       (71*d[9])/24 + (11*d[10])/3 - (9*d[11])/4 + (11*d[12])/3 - 
       (8*d[13])/3 + (16*d[14])/3 + (7*d[15])/3 - (31*d[16])/3 - 5*d[17] + 
       (34*d[18])/3 - (2*d[19])/3 - (289*d[20])/24 - (14*d[21])/3 - 
       (10*d[22])/3 - (193*d[23])/24 - (26*d[24])/3 + d[26]/3 - (5*d[27])/3 - 
       d[29]/3 + (8*d[33])/3 - (8*d[34])/3 - d[35]/3 - 2*d[36])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((4*d[2])/3 - (11*d[5])/2 - (25*d[6])/12 - (11*d[7])/6 + (22*d[8])/3 - 
       (22*d[9])/3 + (40*d[10])/3 - (19*d[11])/6 + (199*d[12])/24 - 
       (11*d[13])/3 + (53*d[14])/12 + (223*d[15])/24 - (58*d[16])/3 - 
       (77*d[17])/24 + (151*d[18])/24 - (11*d[19])/2 - (34*d[20])/3 - 
       (19*d[21])/2 - (55*d[22])/6 - (19*d[23])/24 - (23*d[24])/16 - 
       d[25]/8 + (4*d[26])/3 + (11*d[27])/6 + (11*d[33])/3 - (11*d[34])/3)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((3*d[5])/8 + d[6]/8 + (3*d[7])/8 + (3*d[9])/4 - (7*d[10])/8 - 
       (15*d[11])/8 - (15*d[12])/8 + d[13]/2 + (13*d[15])/8 + (9*d[16])/4 - 
       (3*d[17])/8 + (17*d[18])/8 - (15*d[19])/8 - (5*d[20])/8 - 
       (5*d[21])/2 - (11*d[22])/8 - d[23]/4 + (29*d[24])/8 + d[26]/8 - 
       (3*d[27])/8 + d[28]/4 + d[29]/8 + d[30] - d[32]/4 - d[33]/2 + d[34]/2)*
      HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w] + 
     ((-5*d[4])/6 - (31*d[6])/3 + (2*d[12])/3 + (41*d[17])/3 - (44*d[18])/3 + 
       d[19]/3 + 3*d[21] - (2*d[22])/3 + (16*d[23])/3 + 10*d[24])*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((5*d[2])/3 - (23*d[3])/6 + (37*d[4])/9 + (17*d[5])/6 - (247*d[6])/36 + 
       d[7]/6 - (11*d[8])/6 + (5*d[9])/3 + (20*d[10])/3 - (53*d[11])/3 - 
       (43*d[12])/18 + (5*d[13])/3 + (4*d[14])/3 + (137*d[15])/18 + 
       (31*d[16])/6 + (263*d[17])/18 - (121*d[18])/18 - (61*d[19])/9 - 
       (73*d[20])/4 - (77*d[21])/9 - (65*d[22])/9 + (367*d[23])/36 + 
       (911*d[24])/24 + d[26]/6 - d[27] + (4*d[31])/3 - d[32]/6 - 
       (7*d[33])/3 + d[34] + 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-d[2]/2 + (5*d[3])/6 - (7*d[4])/9 - (35*d[5])/18 - (5*d[6])/3 + 
       (91*d[7])/72 + (121*d[8])/72 - (215*d[9])/72 + (31*d[10])/18 + 
       (167*d[11])/36 + d[12]/4 - (2*d[13])/3 + 4*d[14] + (25*d[15])/18 - 
       (73*d[16])/36 - (16*d[17])/3 + (19*d[18])/3 - (53*d[19])/36 - 
       (361*d[20])/72 + d[21]/36 - (95*d[22])/36 + (121*d[23])/72 + 
       (1213*d[24])/144 + (13*d[27])/36 - (2*d[31])/3 - d[32]/6 + 
       (7*d[33])/6 - d[34]/2 - 2*d[36])*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + (d[2]/3 - (8*d[3])/3 + (26*d[4])/9 + (17*d[5])/6 + 
       (133*d[6])/9 - (11*d[7])/6 - (9*d[8])/2 + 6*d[9] - (35*d[10])/2 + 
       6*d[11] - (53*d[12])/18 + (5*d[13])/3 + (4*d[14])/3 + (49*d[15])/18 + 
       (31*d[16])/6 - (89*d[17])/18 + (55*d[18])/18 - (17*d[19])/9 + 
       (89*d[20])/12 - (121*d[21])/9 + (23*d[22])/9 - (865*d[23])/36 - 
       (371*d[24])/8 - d[25]/6 - d[26]/6 - d[27] + (4*d[31])/3 - d[32]/6 - 
       (7*d[33])/3 + d[34] + 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-4*d[3])/3 + (25*d[4])/9 - (26*d[5])/9 - (31*d[6])/9 - (13*d[7])/72 + 
       (215*d[8])/72 - (211*d[9])/72 + (37*d[10])/3 - (107*d[11])/12 - 
       (23*d[12])/72 + (13*d[13])/3 + 2*d[14] + (37*d[15])/6 - (7*d[16])/3 - 
       3*d[17] + (14*d[18])/3 - (23*d[19])/6 + (13*d[20])/6 - (79*d[21])/6 - 
       (29*d[22])/6 + (26*d[23])/3 + (77*d[24])/24 + (35*d[26])/18 - 
       (11*d[27])/18 + (2*d[28])/3 + d[29]/3 - (8*d[30])/3 + d[33] - d[34] + 
       (2*d[35])/3 + 4*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (d[1]/6 - (2*d[2])/3 + (4*d[3])/3 - (4*d[4])/3 + 4*d[5] - (7*d[6])/18 + 
       (8*d[7])/3 - (65*d[8])/12 + (17*d[9])/3 - (443*d[10])/36 + 
       (65*d[11])/18 - (301*d[12])/72 + 3*d[13] - (10*d[14])/3 - 
       (26*d[15])/9 + (631*d[16])/36 - (5*d[17])/3 - d[18] - (31*d[19])/36 + 
       (673*d[20])/72 + (155*d[21])/36 + (59*d[22])/36 + (671*d[23])/72 + 
       (2951*d[24])/144 + d[25]/6 - (43*d[26])/36 - (19*d[27])/12 - 
       (2*d[31])/3 - d[32]/6 - (5*d[33])/2 + (19*d[34])/6 - 2*d[36])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-2*d[3])/3 + (5*d[4])/3 - d[5]/2 + (11*d[6])/6 + d[7]/3 + 3*d[8] - 
       (23*d[9])/6 + 2*d[10] + (17*d[11])/6 - d[12]/2 - (4*d[13])/3 + 
       (2*d[14])/3 - d[15] - (22*d[16])/3 + (7*d[17])/3 - 3*d[18] + 
       (5*d[19])/3 + (2*d[21])/3 + d[22]/3 + (4*d[23])/3 - (61*d[24])/6 - 
       d[26]/3 + d[27] - d[29]/3 + (4*d[32])/3 + (4*d[33])/3 - 2*d[34])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-2*d[3])/3 + d[4]/3 + (5*d[5])/6 - d[6]/3 - (7*d[7])/12 - 
       (11*d[8])/12 + (11*d[9])/12 - (5*d[10])/4 - d[11]/3 - (37*d[12])/12 + 
       (10*d[13])/3 + d[14]/3 - d[15]/12 + (7*d[16])/2 - (11*d[17])/12 + 
       (7*d[18])/4 - d[19]/4 + (13*d[20])/12 - d[21]/2 + (5*d[22])/12 + 
       (3*d[23])/2 + (7*d[24])/4 - d[26]/12 - d[27]/6 + d[28]/3 + d[29]/6 - 
       (4*d[30])/3 + d[32]/6 - (2*d[33])/3 + d[34]/2)*HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w] + ((-5*d[4])/12 + (49*d[6])/24 - d[7]/4 - 
       (3*d[8])/8 - (11*d[10])/2 + d[11] + (5*d[12])/24 + (3*d[13])/8 + 
       (9*d[14])/8 + d[15]/3 + (3*d[16])/8 + (137*d[17])/24 - (89*d[18])/12 - 
       (5*d[19])/24 + (19*d[20])/8 + (41*d[21])/24 - (7*d[22])/6 - 
       (14*d[23])/3 - (69*d[24])/8)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]^2 + 
     ((7*d[3])/6 - (19*d[4])/12 - (3*d[5])/4 - (59*d[6])/12 + d[7]/12 + 
       d[8]/3 - (4*d[9])/3 + (49*d[10])/6 - (17*d[11])/6 - (31*d[12])/12 - 
       d[13]/6 - (3*d[14])/2 - 2*d[15] + d[16]/3 + (23*d[17])/4 - 
       (13*d[18])/4 + (13*d[19])/6 + (61*d[20])/24 + (59*d[21])/12 + 
       d[22]/6 + (113*d[23])/24 + (89*d[24])/16 - (7*d[27])/12 - d[31]/2 + 
       d[32]/6 + d[34]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2 + ((5*d[3])/8 + d[4]/4 - (7*d[5])/12 - 
       (3*d[6])/4 + d[7]/6 + (5*d[8])/12 + (7*d[9])/12 + (13*d[10])/24 - 
       (17*d[11])/12 - d[13]/6 + (4*d[14])/3 + (5*d[15])/4 + (5*d[16])/4 - 
       (17*d[17])/6 + (55*d[18])/12 - (17*d[19])/12 - (19*d[20])/12 - 
       (8*d[21])/3 - (13*d[22])/12 - (7*d[23])/8 + (143*d[24])/48 - 
       (5*d[27])/4 - d[31]/4 - d[32]/4 + d[34]/4)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]^2 + ((11*d[4])/12 + (3*d[5])/2 + 5*d[6] + d[7]/2 - 
       2*d[8] + 2*d[9] - (13*d[10])/3 + d[11]/6 + (10*d[12])/3 + d[13] - 
       d[14] + d[15]/3 + (20*d[16])/3 - (215*d[17])/24 + (277*d[18])/24 - 
       (13*d[19])/12 + (37*d[20])/12 - (21*d[21])/4 + (3*d[22])/2 - 
       (109*d[23])/24 - (227*d[24])/48 + (5*d[26])/24 - d[27]/2 - d[33] + 
       d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2 + 
     ((-7*d[4])/6 + (5*d[5])/12 + (11*d[6])/24 - d[7]/2 - d[8] + d[9]/12 - 
       (5*d[10])/4 + (13*d[11])/12 + (3*d[12])/4 + 3*d[13] + (2*d[14])/3 + 
       d[15] + (2*d[16])/3 - d[17]/2 + (5*d[18])/3 - d[19] + (7*d[20])/8 + 
       (5*d[21])/12 - (2*d[22])/3 + (73*d[23])/24 + (149*d[24])/48 + 
       (7*d[27])/6 + d[28]/3 + d[29]/6 - (4*d[30])/3 - d[33]/3 + d[34]/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2 + 
     ((19*d[2])/24 + (7*d[6])/12 + d[10]/3 + d[11]/3 - (29*d[12])/12 - 
       (3*d[14])/8 - (5*d[15])/48 - (2*d[16])/3 + (31*d[17])/16 - 
       (61*d[18])/16 + d[19]/24 + (101*d[20])/48 + (25*d[21])/24 + d[22]/24 + 
       (4*d[23])/3 - (73*d[24])/48 - d[25]/16 - d[26]/3)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]^2 + (d[3] - d[4]/2 - (3*d[5])/8 + (5*d[6])/8 + 
       d[7]/8 + d[8]/2 - d[9]/2 + (7*d[10])/8 + (3*d[11])/8 + (5*d[12])/8 - 
       d[13]/2 - d[14]/4 + (9*d[15])/8 - (11*d[16])/8 - (5*d[17])/8 + 
       (15*d[18])/8 - (11*d[19])/8 - (11*d[20])/8 - (5*d[21])/4 - 
       (11*d[22])/8 - (3*d[23])/4 - d[24]/2 + d[26]/8 + d[27]/8 - d[29]/8 + 
       d[32]/4 + d[33]/2 - (3*d[34])/4 - d[35]/2 - 3*d[36])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2 + 
     (-d[3]/6 + d[4]/3 + (5*d[5])/12 + d[6]/6 - (4*d[8])/3 + (13*d[9])/12 + 
       d[10]/12 - (7*d[11])/12 - (3*d[12])/4 + (10*d[13])/3 + d[14]/3 - 
       d[15]/12 + (7*d[16])/2 - (11*d[17])/12 + (7*d[18])/4 - d[19]/4 + 
       (13*d[20])/12 - d[21]/2 + (5*d[22])/12 + (3*d[23])/2 + (7*d[24])/4 + 
       d[26]/12 + d[27]/6 + d[28]/3 + d[29]/6 - (4*d[30])/3 + d[32]/6 - 
       (2*d[33])/3 + d[34]/2)*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     (-d[3]/3 + d[4]/3 - d[6]/4 - d[7]/6 - d[8]/12 + d[9]/4 + d[10]/2 - 
       d[11]/6 - d[12]/3 + (5*d[13])/6 - d[14]/6 + d[15]/6 + (2*d[16])/3 + 
       d[17]/12 - (7*d[18])/12 - d[19]/6 + d[20]/8 - (5*d[21])/12 - 
       d[22]/12 + (5*d[23])/12 + (11*d[24])/24 - d[27]/12 + d[28]/12 + 
       d[29]/24 - d[30]/3 + d[32]/12 - d[33]/12 - d[34]/12)*
      HPL[{0, 1}, 1 - w]^3 + ((-8*d[4])/3 - (13*d[6])/3 - (8*d[12])/3 + 
       (4*d[15])/3 + (100*d[17])/3 - (116*d[18])/3 - (4*d[19])/3 + 
       (28*d[21])/3 - (20*d[22])/3 + (4*d[23])/3 + 12*d[24])*
      HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - u] + 
     ((7*d[4])/3 - (4*d[5])/3 + (4*d[6])/3 - d[7]/3 - d[8]/3 + (5*d[9])/3 + 
       (8*d[10])/3 - (7*d[11])/3 - d[12]/3 - (19*d[15])/6 + (8*d[16])/3 - 
       (71*d[17])/6 + (97*d[18])/6 + (8*d[19])/3 - (7*d[20])/6 - 4*d[21] + 
       4*d[22] - (61*d[23])/6 - (143*d[24])/12 - (8*d[27])/3)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((29*d[4])/18 - (2*d[5])/3 + (83*d[6])/36 + d[7]/12 + d[8]/12 + 
       (7*d[9])/12 - d[10]/3 - (7*d[11])/2 + (7*d[12])/9 - d[14] + 
       (19*d[15])/9 + (10*d[16])/3 - (20*d[17])/9 + (22*d[18])/9 - 
       (19*d[19])/9 + (11*d[20])/4 - (74*d[21])/9 - (14*d[22])/9 - d[23]/18 - 
       (9*d[24])/2 + d[26] - (4*d[27])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - u] + ((-5*d[4])/18 + (5*d[5])/36 + (5*d[6])/48 + 
       (103*d[7])/72 + (175*d[8])/72 - (185*d[9])/72 - (55*d[10])/36 - 
       (11*d[11])/18 - (7*d[12])/24 - d[14]/3 - (35*d[15])/72 - 
       (5*d[16])/18 + (5*d[17])/6 - (5*d[18])/3 + (35*d[19])/72 + d[20]/36 + 
       (65*d[21])/72 + (35*d[22])/72 - d[23]/9 - (1537*d[24])/288 + 
       (5*d[27])/18)*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - u] + 
     (-d[3] - (2*d[4])/3 - (73*d[6])/6 + (20*d[10])/3 - (10*d[11])/3 + 
       9*d[12] - d[15]/2 + (8*d[16])/3 - (7*d[17])/6 + (65*d[18])/6 - 
       (91*d[20])/6 - (4*d[21])/3 - (4*d[22])/3 + (17*d[23])/2 + 
       (409*d[24])/12 + (4*d[26])/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + ((-2*d[2])/3 - (2*d[4])/3 + (2*d[5])/3 - 
       (23*d[6])/3 - (5*d[8])/3 + (8*d[9])/3 - (10*d[10])/3 + d[11] - 
       (20*d[12])/3 - (14*d[13])/3 + (8*d[14])/3 - 3*d[15] + (4*d[16])/3 + 
       (52*d[17])/3 - (62*d[18])/3 + (7*d[19])/3 - (71*d[20])/6 + 
       (23*d[21])/3 + d[22]/3 + (55*d[23])/6 + (91*d[24])/4 - d[26]/3 - 
       d[27] - (2*d[28])/3 - (2*d[29])/3 - (8*d[30])/3 - (2*d[33])/3 + 
       (2*d[34])/3 - (2*d[35])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (-d[2]/3 + (4*d[4])/3 - (17*d[5])/12 - (31*d[6])/144 + d[7]/4 + 
       (19*d[8])/6 - d[9]/2 + (119*d[10])/36 - (25*d[11])/9 - (19*d[12])/9 + 
       d[13]/2 + (7*d[14])/6 + (55*d[15])/72 - (29*d[16])/18 - (19*d[17])/6 + 
       (19*d[18])/3 - (19*d[19])/72 - (59*d[20])/36 - (133*d[21])/72 - 
       (55*d[22])/72 - (61*d[23])/36 - (247*d[24])/288 - (5*d[26])/36 - 
       (13*d[27])/12 + d[28]/6 + (2*d[30])/3 + d[33]/2 - d[34]/2)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((17*d[4])/6 - 4*d[5] + (71*d[6])/12 + 5*d[8] - 4*d[9] + (13*d[10])/3 - 
       (9*d[11])/2 + (17*d[12])/4 - 2*d[13] + 3*d[14] + (10*d[15])/3 - 
       (22*d[16])/3 - (26*d[17])/3 + (26*d[18])/3 - (4*d[19])/3 + 
       (3*d[20])/4 - (35*d[21])/3 - (5*d[22])/3 - 12*d[23] - (121*d[24])/4 + 
       (4*d[26])/3 - d[27] + 2*d[33] - 2*d[34])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((-5*d[2])/3 - (5*d[4])/6 + (19*d[5])/12 - (53*d[6])/48 + (3*d[7])/8 - 
       (9*d[8])/8 - (5*d[9])/8 - (19*d[10])/12 + (77*d[12])/24 + 
       (4*d[13])/3 - d[14]/2 - (5*d[15])/24 + (17*d[16])/6 - (7*d[17])/3 + 
       (14*d[18])/3 - d[19]/8 + (13*d[20])/8 - (7*d[21])/8 + (5*d[22])/24 + 
       d[23]/24 + (181*d[24])/96 + (2*d[26])/3 + (2*d[27])/3 + d[28]/6 + 
       (2*d[30])/3 - d[33]/3 + d[34]/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u] + ((5*d[5])/4 + (35*d[6])/48 - d[7]/12 - 
       (5*d[8])/6 + (5*d[9])/6 - (35*d[10])/12 + (7*d[11])/6 - (23*d[12])/6 + 
       (5*d[13])/6 - 2*d[14] - (35*d[15])/24 + (25*d[16])/6 + (5*d[17])/3 - 
       (10*d[18])/3 + (5*d[19])/8 + (79*d[20])/24 + (15*d[21])/8 + 
       (35*d[22])/24 + (13*d[23])/8 - (83*d[24])/32 - (5*d[26])/12 - 
       (5*d[27])/12 - (5*d[33])/6 + (5*d[34])/6)*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - u] + ((-8*d[4])/3 - (37*d[6])/3 - (2*d[12])/3 - 
       (2*d[15])/3 + (58*d[17])/3 - (68*d[18])/3 + (2*d[19])/3 + 
       (22*d[21])/3 - (8*d[22])/3 + (16*d[23])/3 + 12*d[24])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (-d[3] + (11*d[4])/3 - (11*d[5])/6 + d[7]/6 - (5*d[8])/6 + (17*d[9])/3 + 
       (19*d[10])/6 - (5*d[11])/6 - d[13] - d[15]/3 + (5*d[16])/3 - 3*d[17] + 
       5*d[18] + d[19]/3 - (31*d[20])/6 - (11*d[21])/3 + d[22]/3 - 
       (11*d[23])/6 + (91*d[24])/12 - (8*d[27])/3 - d[29]/2 - d[35]/2 + 
       3*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (-d[2] - d[3] + d[4] - (5*d[6])/6 - (11*d[10])/6 - (4*d[11])/3 + 
       (17*d[12])/3 - d[13] - d[15]/3 + (5*d[16])/3 - 3*d[17] + 5*d[18] + 
       d[19]/3 - (31*d[20])/6 - (11*d[21])/3 + d[22]/3 - (11*d[23])/6 + 
       (91*d[24])/12 + (4*d[26])/3 - d[29]/2 - d[35]/2 + 3*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (2*d[2] - (7*d[4])/9 - d[5]/2 - (91*d[6])/18 - (3*d[7])/4 + 
       (15*d[8])/4 - (11*d[9])/4 + (26*d[10])/3 - (8*d[11])/3 - 
       (23*d[12])/18 - 5*d[13] + 2*d[14] + (38*d[15])/9 - 8*d[16] + 
       (74*d[17])/9 - (40*d[18])/9 - (29*d[19])/9 - (151*d[20])/12 - 
       (19*d[21])/9 - (52*d[22])/9 + (313*d[23])/18 + (205*d[24])/6 + 
       d[27]/2 - d[28]/2 - d[29]/2 - 2*d[30] + d[33] - d[34] - d[35]/2)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (d[3] - (2*d[4])/9 - (26*d[5])/9 + (29*d[6])/24 - (11*d[7])/36 + 
       (277*d[8])/36 - (29*d[9])/36 + (28*d[10])/9 + (17*d[11])/18 + 
       (17*d[12])/12 - 3*d[13] + (8*d[14])/3 - (275*d[15])/36 - 
       (128*d[16])/9 + (2*d[17])/3 - (4*d[18])/3 + (347*d[19])/36 - 
       (16*d[20])/9 + (305*d[21])/36 + (275*d[22])/36 - (193*d[23])/18 - 
       (4069*d[24])/144 + (2*d[27])/9 - d[29]/2 + 2*d[33] - 2*d[34] - 
       d[35]/2 - 3*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u] + ((-8*d[2])/3 + (8*d[3])/3 - 2*d[4] - 
       (5*d[5])/6 - (175*d[6])/72 + (5*d[7])/3 + (5*d[8])/2 - (25*d[9])/6 + 
       (35*d[10])/18 - (5*d[11])/9 + (70*d[12])/9 - d[13]/3 + (13*d[14])/3 - 
       (89*d[15])/36 - (14*d[16])/9 - d[17] + (10*d[18])/3 + (17*d[19])/36 - 
       (131*d[20])/18 - d[21]/36 - (67*d[22])/36 - (56*d[23])/9 - 
       (715*d[24])/144 + (25*d[26])/18 - d[27]/2 + d[28]/3 - d[29]/3 + 
       (4*d[30])/3 - (2*d[31])/3 - d[32]/3 + (7*d[33])/3 - (5*d[34])/3 - 
       d[35]/3 - 6*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u] + (3*d[3] + d[4]/3 - d[5]/2 + (17*d[6])/6 - 
       d[7]/4 + (9*d[8])/4 - d[9]/4 + (7*d[10])/3 - (13*d[11])/3 - 
       (5*d[12])/3 - 5*d[13] + 2*d[14] + 2*d[15] - 8*d[16] - (2*d[17])/3 - 
       d[19] - (11*d[20])/12 - (13*d[21])/3 - (4*d[22])/3 + (11*d[23])/6 - 
       (25*d[24])/6 + d[27]/2 - d[28]/2 - d[29]/2 - 2*d[30] + d[33] - d[34] - 
       d[35]/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((2*d[2])/3 + d[3] - (7*d[5])/6 - (5*d[6])/24 + (15*d[7])/4 + 
       (3*d[8])/4 + (41*d[9])/12 - (13*d[10])/2 + (13*d[11])/3 + 
       (13*d[12])/4 + (4*d[13])/3 + d[14] - (53*d[15])/12 + (22*d[16])/3 + 
       (2*d[17])/3 + (3*d[19])/4 - (3*d[20])/4 + (23*d[21])/12 + d[22]/12 - 
       (11*d[23])/4 + (25*d[24])/48 + d[26]/3 - (2*d[27])/3 + d[28]/3 - 
       d[29]/3 + (4*d[30])/3 - (2*d[31])/3 - d[32]/3 + (2*d[33])/3 - 
       d[35]/3 - 6*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + (d[2] + d[3] - d[4] + (3*d[5])/2 + 
       (31*d[6])/24 - d[7]/6 + (2*d[8])/3 - (2*d[9])/3 + 2*d[10] - d[12]/3 - 
       (4*d[13])/3 - (2*d[14])/3 - (115*d[15])/12 - (16*d[16])/3 + 
       (7*d[17])/3 - (14*d[18])/3 + (119*d[19])/12 + (19*d[20])/4 + 
       (125*d[21])/12 + (115*d[22])/12 - (29*d[23])/4 - (1093*d[24])/48 - 
       d[26]/6 + d[27]/6 - d[29]/2 + d[33]/3 - d[34]/3 - d[35]/2 - 3*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((5*d[4])/9 + (395*d[6])/72 - (10*d[10])/3 + (5*d[11])/6 + (5*d[12])/9 - 
       (25*d[15])/36 - (205*d[17])/36 + (185*d[18])/36 + (25*d[19])/36 + 
       (35*d[20])/12 - (55*d[21])/36 + (65*d[22])/36 - (95*d[23])/18 - 
       (145*d[24])/12)*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - v] + 
     ((-14*d[4])/9 + (5*d[5])/18 - (283*d[6])/24 + (25*d[7])/144 + 
       (25*d[8])/144 - (65*d[9])/144 + (149*d[10])/18 - (109*d[11])/72 + 
       (55*d[12])/24 - (5*d[14])/6 + (767*d[15])/72 - (5*d[16])/9 + 
       (67*d[17])/6 - (47*d[18])/6 - (767*d[19])/72 - (1747*d[20])/144 - 
       (455*d[21])/72 - (911*d[22])/72 + (2971*d[23])/144 + 
       (14287*d[24])/288 + (5*d[27])/9)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + ((-2*d[4])/3 - 4*d[5] - (139*d[6])/12 - 
       (3*d[7])/4 + (21*d[8])/4 - (13*d[9])/4 + (5*d[10])/2 - (7*d[11])/2 - 
       (11*d[12])/3 - d[13] + 3*d[14] + (7*d[15])/3 - 9*d[16] + 
       (52*d[17])/3 - (103*d[18])/6 - d[19]/3 - (19*d[20])/2 + (10*d[21])/3 - 
       (14*d[22])/3 - (7*d[23])/6 + (11*d[24])/2 - d[27] + 2*d[33] - 2*d[34])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((8*d[4])/3 - (4*d[5])/3 - d[6] + (4*d[9])/3 + (14*d[10])/3 - 
       (23*d[11])/6 + d[13]/3 - d[14]/3 + (11*d[15])/3 + (8*d[16])/3 - 
       (23*d[17])/3 + 12*d[18] - (11*d[19])/3 - (29*d[20])/12 - 
       (23*d[21])/3 - (11*d[22])/3 + (11*d[23])/3 + (61*d[24])/6 - 
       (8*d[27])/3)*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v] + 
     ((-4*d[4])/3 + (5*d[5])/4 - (725*d[6])/144 + (5*d[7])/12 - (5*d[8])/3 + 
       (5*d[9])/3 - (55*d[10])/18 + (25*d[11])/36 - (569*d[12])/144 + 
       (5*d[13])/6 - (5*d[14])/6 + d[15]/36 + (40*d[16])/9 + (55*d[17])/3 - 
       (68*d[18])/3 - (31*d[19])/36 + (401*d[20])/144 + (191*d[21])/36 - 
       (97*d[22])/36 + (619*d[23])/144 + (1385*d[24])/144 - (5*d[26])/18 - 
       (5*d[27])/12 - (5*d[33])/6 + (5*d[34])/6)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((4*d[4])/3 - (11*d[5])/3 + (16*d[6])/3 - (7*d[7])/6 + (23*d[8])/6 - 
       (19*d[9])/6 + (5*d[10])/3 - (7*d[11])/3 + (4*d[12])/3 - 2*d[13] + 
       (8*d[14])/3 + (11*d[15])/3 - (22*d[16])/3 - (28*d[17])/3 + 
       (28*d[18])/3 - (5*d[19])/3 - (29*d[20])/12 - (34*d[21])/3 - d[22] - 
       (119*d[23])/6 - (129*d[24])/4 + (5*d[26])/3 - d[27]/3 + 2*d[33] - 
       2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + (-d[3]/3 + (4*d[5])/3 - d[6]/2 - (5*d[7])/3 + 
       3*d[8] - 2*d[9] + (7*d[10])/2 + (25*d[11])/6 + (53*d[12])/6 - 
       (2*d[13])/3 - d[14]/2 - (7*d[15])/6 - d[16]/6 - 7*d[17] + 
       (29*d[18])/3 + (7*d[19])/6 - (151*d[20])/24 + (5*d[21])/3 + d[22]/6 + 
       (21*d[23])/4 - (29*d[24])/8 + d[26]/6 + d[33] - d[34] + d[35]/6)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((-14*d[2])/9 + (5*d[4])/9 - (145*d[6])/72 + (8*d[10])/3 - (3*d[11])/2 + 
       (97*d[12])/18 + (47*d[15])/36 + (4*d[16])/3 - (265*d[17])/36 + 
       (479*d[18])/36 - (47*d[19])/36 - (27*d[20])/4 - (139*d[21])/36 - 
       (37*d[22])/36 + (8*d[23])/9 + (49*d[24])/4 + (2*d[26])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((-2*d[2])/3 - (8*d[4])/9 + (59*d[5])/18 + (11*d[6])/8 + 
       (175*d[7])/144 - (545*d[8])/144 + (505*d[9])/144 - (163*d[10])/18 + 
       (245*d[11])/72 - (115*d[12])/24 + 2*d[13] - d[14] - (157*d[15])/72 + 
       (82*d[16])/9 + (4*d[17])/3 - (11*d[18])/6 + (49*d[19])/72 + 
       (371*d[20])/144 + (385*d[21])/72 + (169*d[22])/72 + (1519*d[23])/144 + 
       (4747*d[24])/288 + d[25]/6 - (7*d[26])/6 - (4*d[27])/9 - 2*d[33] + 
       2*d[34])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((2*d[1])/9 + (14*d[2])/9 - (5*d[5])/4 - (5*d[6])/144 - (5*d[7])/12 + 
       (5*d[8])/3 - (5*d[9])/3 + (115*d[10])/36 - (5*d[11])/9 - 
       (83*d[12])/144 - (5*d[13])/6 + (5*d[14])/6 + (13*d[15])/36 - 
       (85*d[16])/18 + (5*d[17])/6 - (5*d[18])/3 + (17*d[19])/36 + 
       (89*d[20])/144 + d[21]/18 - (13*d[22])/36 + (67*d[23])/144 - 
       (175*d[24])/36 + (5*d[26])/36 + (5*d[27])/12 + (5*d[33])/6 - 
       (5*d[34])/6)*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v] + 
     ((-11*d[4])/9 + (109*d[6])/18 - (20*d[10])/3 + (5*d[11])/3 - 
       (13*d[12])/18 - (31*d[15])/18 + (109*d[17])/36 - (209*d[18])/36 + 
       (11*d[19])/9 + (16*d[20])/3 + (19*d[21])/9 + (7*d[22])/9 - 
       (80*d[23])/9 - (50*d[24])/3 + d[26]/4)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (-d[3] + (2*d[4])/9 - d[5]/9 + (5*d[6])/12 - (23*d[7])/72 + 
       (49*d[8])/72 - (41*d[9])/72 + (17*d[10])/9 + (47*d[11])/36 + 
       (7*d[12])/12 - (7*d[14])/6 + (275*d[15])/36 + (31*d[16])/18 + 
       (7*d[17])/3 - (14*d[18])/3 - (257*d[19])/36 - (97*d[20])/72 - 
       (359*d[21])/36 - (293*d[22])/36 + (403*d[23])/72 + (1567*d[24])/144 + 
       d[26] - (2*d[27])/9 - d[32]/2 + d[34] + d[35]/2 + 3*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (-2*d[2] + d[3]/3 - d[4] + (5*d[5])/2 + (127*d[6])/72 + (5*d[7])/6 - 
       (10*d[8])/3 + (11*d[9])/3 - (107*d[10])/18 + (44*d[11])/9 - 
       (5*d[12])/72 + (5*d[13])/3 - d[14] + (32*d[15])/9 + (77*d[16])/9 + 
       (7*d[17])/6 - (13*d[18])/6 - (56*d[19])/9 - (175*d[20])/72 - 
       (67*d[21])/18 - (47*d[22])/9 + (151*d[23])/72 + (971*d[24])/72 + 
       (2*d[25])/3 - (8*d[26])/9 - (5*d[27])/6 + d[32]/3 - (5*d[33])/3 + 
       2*d[34])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((-17*d[4])/3 - (37*d[6])/3 + d[9] - d[10]/2 - (49*d[12])/6 - 2*d[14] + 
       (11*d[15])/6 + (3*d[16])/2 + (70*d[17])/3 - (107*d[18])/3 - 
       (11*d[19])/6 + (3*d[20])/4 + (16*d[21])/3 - (49*d[22])/6 - d[23]/6 + 
       (31*d[24])/4 + 3*d[26])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + (d[3] + (8*d[4])/3 - (4*d[5])/3 + (5*d[7])/3 - 
       (4*d[8])/3 + (8*d[9])/3 + (20*d[10])/3 - d[11]/3 - 2*d[12] + 
       (3*d[14])/2 + (20*d[15])/3 + (19*d[16])/6 - 3*d[17] + 5*d[18] - 
       (43*d[19])/6 - (55*d[20])/6 - (32*d[21])/3 - (43*d[22])/6 + 
       (13*d[23])/6 + (241*d[24])/12 - (8*d[27])/3 + d[32]/2 - d[34] + 
       d[35]/2 - 3*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + ((-2*d[2])/3 - (5*d[6])/6 - (2*d[10])/3 - 
       (2*d[11])/3 + (11*d[12])/3 + (8*d[14])/3 + 2*d[16] - (10*d[17])/3 + 
       (16*d[18])/3 - (4*d[19])/3 - (31*d[20])/6 + d[21] - (8*d[22])/3 - 
       (7*d[23])/2 + (79*d[24])/12 + (2*d[25])/3 + d[26])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((10*d[4])/9 - (211*d[6])/36 + (19*d[10])/3 - 2*d[11] + d[12]/9 + 
       (77*d[15])/18 + (2*d[16])/3 - (2*d[17])/9 + (25*d[18])/9 - 
       (71*d[19])/18 - (17*d[20])/3 - (109*d[21])/18 - (37*d[22])/18 + 
       (76*d[23])/9 + (56*d[24])/3 - d[26]/6)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((-2*d[2])/3 + (8*d[3])/3 - (34*d[4])/9 - (10*d[5])/9 + (13*d[6])/12 + 
       (475*d[7])/72 + (595*d[8])/72 - (395*d[9])/72 + (2*d[10])/9 + 
       (149*d[11])/36 + (37*d[12])/12 - (2*d[13])/3 + (13*d[14])/3 + 
       (119*d[15])/36 - (25*d[16])/9 - d[17]/3 + (16*d[18])/3 - 
       (95*d[19])/36 - (505*d[20])/72 - (59*d[21])/36 - (215*d[22])/36 + 
       (535*d[23])/72 + (1495*d[24])/144 - (17*d[27])/9 - (2*d[31])/3 - 
       (4*d[32])/3 + 2*d[33] + (2*d[35])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((4*d[2])/3 + (2*d[4])/3 - (5*d[5])/2 + (19*d[6])/72 - (5*d[7])/6 + 
       (10*d[8])/3 - 4*d[9] + (59*d[10])/9 - (23*d[11])/18 + d[12]/72 - 
       (5*d[13])/3 + 5*d[14] + (13*d[15])/18 - (167*d[16])/18 - d[17]/6 + 
       d[18]/6 + (16*d[19])/9 - (211*d[20])/72 + d[21]/9 + (7*d[22])/9 + 
       (151*d[23])/72 - (83*d[24])/36 + d[25]/2 + d[26]/9 + (5*d[27])/6 + 
       (5*d[33])/3 - (5*d[34])/3)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + (-d[2] + d[3] - d[4] + 2*d[5] + d[6] + 
       d[10]/2 - d[14] - d[15] - 2*d[16] + d[17] - 2*d[18] + d[19] + d[20] + 
       d[21] + d[22] - 3*d[24] - d[29]/2 - d[35]/2 - 3*d[36])*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((3*d[4])/2 + d[6]/2 - d[12] + (3*d[14])/4 + d[15]/2 + (3*d[17])/2 - 
       (7*d[18])/2 - 2*d[19] - (3*d[20])/4 + d[21]/2 + (3*d[22])/2 - 
       (5*d[23])/2 + d[24] + d[25]/4)*HPL[{0, 0, 1}, 1 - v]^2 + 
     ((-5*d[6])/24 + (10*d[10])/3 - (5*d[11])/6 + (5*d[15])/12 - 
       (5*d[17])/4 + (35*d[18])/12 - (5*d[19])/12 - (35*d[20])/12 - 
       (5*d[21])/12 - (5*d[22])/12 + (5*d[23])/2 + (85*d[24])/12)*
      HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - w] + 
     ((-5*d[3])/6 - (4*d[4])/3 - (269*d[6])/48 - (5*d[7])/48 - (5*d[8])/48 + 
       (5*d[9])/48 - (8*d[10])/3 + (5*d[11])/24 - (17*d[12])/12 + 
       (5*d[14])/6 + d[15] + (35*d[17])/2 - 21*d[18] - d[19] - 
       (23*d[20])/48 + (13*d[21])/3 - (11*d[22])/3 + (41*d[23])/16 + 
       (55*d[24])/8)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + ((3*d[3])/2 + (29*d[4])/18 - (2*d[5])/3 + 
       (253*d[6])/72 - d[7]/6 - d[8]/6 + (5*d[9])/6 - d[10]/6 - (5*d[11])/6 + 
       (5*d[12])/18 + (7*d[15])/36 + (4*d[16])/3 - (425*d[17])/36 + 
       (559*d[18])/36 - (7*d[19])/36 - (11*d[20])/12 - (179*d[21])/36 + 
       (43*d[22])/36 - (62*d[23])/9 - (83*d[24])/12 - (4*d[27])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-5*d[4])/18 + (5*d[5])/36 + (5*d[6])/48 + (11*d[7])/144 + 
       (11*d[8])/144 - (31*d[9])/144 + (5*d[10])/36 - (41*d[11])/72 - 
       d[12]/2 - (5*d[14])/6 - (11*d[15])/18 - (5*d[16])/18 + (5*d[17])/3 - 
       (10*d[18])/3 + (11*d[19])/18 + (559*d[20])/144 + (37*d[21])/36 + 
       (11*d[22])/18 + (317*d[23])/144 - (305*d[24])/144 + (5*d[27])/18)*
      HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - w] + 
     ((-2*d[4])/3 - (5*d[5])/4 + d[6]/6 - (5*d[7])/12 + (5*d[8])/3 - 
       (5*d[9])/3 - (2*d[10])/3 + (7*d[11])/12 + (175*d[12])/48 - 
       (5*d[13])/6 + (5*d[14])/6 + (215*d[15])/24 - 5*d[16] - d[17]/3 - 
       (5*d[18])/6 - (65*d[19])/8 - (67*d[20])/48 - (239*d[21])/24 - 
       (199*d[22])/24 + (11*d[23])/48 + (83*d[24])/96 + (5*d[27])/12 + 
       (5*d[33])/6 - (5*d[34])/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + ((2*d[3])/3 + (8*d[4])/3 - d[5] - (17*d[6])/2 + 
       d[9] + (23*d[10])/3 - (23*d[11])/3 + (11*d[12])/2 - (4*d[14])/3 + 
       4*d[15] + (10*d[16])/3 + (10*d[17])/3 - 4*d[19] - (103*d[20])/12 - 
       (19*d[21])/3 - 4*d[22] + 3*d[23] + (61*d[24])/3 + (2*d[26])/3 - 
       2*d[27])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + (-d[4] + (7*d[5])/4 + (85*d[6])/72 + d[7]/6 - 
       (23*d[8])/12 + (17*d[9])/12 - (59*d[10])/18 + (179*d[11])/36 - 
       (721*d[12])/144 + (5*d[13])/6 + (4*d[14])/3 - (59*d[15])/72 + 
       (26*d[16])/9 + d[17]/6 + d[18]/2 + (35*d[19])/72 - (287*d[20])/144 + 
       (287*d[21])/72 + (71*d[22])/72 + (1169*d[23])/144 + (3641*d[24])/288 - 
       (5*d[26])/9 + (7*d[27])/12 - (5*d[33])/6 + (5*d[34])/6)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (d[4]/3 - (55*d[6])/6 - d[10]/3 - d[11]/3 - d[12]/4 + d[13] - d[14] + 
       (5*d[16])/3 + (58*d[17])/3 - (127*d[18])/6 - (5*d[20])/3 + 
       (17*d[21])/3 - (7*d[22])/3 + 3*d[23] + (145*d[24])/12 + d[26]/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     (d[4]/3 - (19*d[5])/6 - (7*d[6])/2 - 2*d[7] + 7*d[8] - (47*d[9])/6 + 
       (27*d[10])/2 - d[11]/2 - (2*d[12])/3 - (8*d[13])/3 + (7*d[14])/2 + 
       (7*d[15])/6 - (65*d[16])/6 - 9*d[17] + (41*d[18])/3 + (5*d[19])/6 - 
       (113*d[20])/8 - (2*d[21])/3 - (13*d[22])/6 + (13*d[23])/12 - 
       (245*d[24])/24 + (2*d[26])/3 + (2*d[27])/3 + 3*d[33] - 3*d[34] + 
       d[35]/6)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-2*d[2])/3 + d[5]/3 - (13*d[6])/6 - (4*d[10])/3 - (4*d[11])/3 + 
       (13*d[12])/6 + d[13]/3 - d[14]/3 + (11*d[15])/3 + (8*d[16])/3 - 
       (23*d[17])/3 + 12*d[18] - (11*d[19])/3 - (29*d[20])/12 - 
       (23*d[21])/3 - (11*d[22])/3 + (11*d[23])/3 + (61*d[24])/6 + 
       (4*d[26])/3)*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w] + 
     (-2*d[3] + d[4]/6 - (61*d[6])/12 + (55*d[10])/6 - (17*d[11])/12 + 
       d[12]/6 + d[15]/2 + (143*d[17])/12 - (41*d[18])/4 - d[19] - 
       (19*d[20])/3 + (13*d[21])/3 - (11*d[22])/3 + (20*d[23])/3 + 
       (65*d[24])/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + ((-2*d[3])/3 - d[4]/3 + d[5]/6 - (17*d[6])/24 - 
       (7*d[7])/8 - (7*d[8])/8 + (17*d[9])/24 - d[10]/2 + (41*d[11])/12 + 
       (5*d[12])/2 + (7*d[14])/3 + (11*d[15])/2 - d[16]/3 - d[17]/2 + 
       (7*d[18])/6 - (13*d[19])/2 - (215*d[20])/24 - (17*d[21])/3 - 
       (43*d[22])/6 - (11*d[23])/8 + 8*d[24] + d[27]/3 + d[32]/3 + d[34]/3)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     (d[4] - (7*d[5])/2 - (13*d[6])/6 + d[7]/6 + (13*d[8])/3 - (10*d[9])/3 + 
       7*d[10] - (9*d[11])/2 + (95*d[12])/24 - (5*d[13])/3 + (13*d[14])/6 + 
       (115*d[15])/12 - (43*d[16])/6 + (2*d[17])/3 - (4*d[18])/3 - 
       (89*d[19])/12 - (63*d[20])/8 - (143*d[21])/12 - (121*d[22])/12 + 
       (17*d[23])/8 + (259*d[24])/48 + (2*d[26])/3 - (7*d[27])/6 - d[32]/2 + 
       (5*d[33])/3 - (2*d[34])/3 + d[35]/2 + 3*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     ((2*d[3])/3 + (26*d[4])/9 - d[5]/3 + (121*d[6])/36 - (2*d[7])/3 - 
       (2*d[8])/3 + d[9] - (26*d[10])/3 - (13*d[11])/6 - d[12]/9 + 
       (37*d[15])/18 + (2*d[16])/3 - (82*d[17])/9 + (65*d[18])/9 - 
       (31*d[19])/18 + 6*d[20] - (149*d[21])/18 + (43*d[22])/18 - 
       (64*d[23])/9 - (59*d[24])/3 - (2*d[27])/3)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     ((-2*d[3])/3 + (4*d[4])/9 - (2*d[5])/9 - (5*d[6])/8 - (85*d[7])/72 - 
       (133*d[8])/72 + (53*d[9])/72 + (55*d[10])/9 - (167*d[11])/36 - 
       (11*d[12])/3 + (5*d[14])/3 - (11*d[15])/9 - (7*d[16])/18 + 
       (3*d[17])/2 - (19*d[18])/6 + (37*d[19])/18 + (259*d[20])/72 + 
       (37*d[21])/18 + (49*d[22])/18 + (401*d[23])/72 + (229*d[24])/72 + 
       (14*d[27])/9)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + (-d[1] + 2*d[3] - (10*d[4])/3 + d[5]/6 - 
       (41*d[6])/36 + (3*d[7])/2 - d[8]/3 - d[9] - (41*d[10])/9 + 
       (35*d[11])/18 - (481*d[12])/72 + d[13] + d[14] + (49*d[15])/36 + 
       (55*d[16])/9 + (4*d[17])/3 + 2*d[18] - (85*d[19])/36 - (35*d[20])/72 + 
       (11*d[21])/36 - (145*d[22])/36 + (785*d[23])/72 + (2285*d[24])/144 - 
       d[26]/9 + d[27]/6 - (2*d[31])/3 - (4*d[32])/3 + d[33]/3 + 
       (5*d[34])/3 + (2*d[35])/3)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + ((-2*d[4])/3 - (3*d[5])/2 - (37*d[6])/3 - 
       d[8]/2 - d[9] + (11*d[10])/2 - d[11] + (65*d[12])/6 - 2*d[14] + 
       (11*d[15])/6 + (3*d[16])/2 + (70*d[17])/3 - (107*d[18])/3 - 
       (11*d[19])/6 + (3*d[20])/4 + (16*d[21])/3 - (49*d[22])/6 - d[23]/6 + 
       (31*d[24])/4 - d[27])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + ((8*d[3])/3 - (5*d[5])/3 - (5*d[6])/3 - 
       (13*d[7])/3 - 5*d[8] + 5*d[9] + 14*d[10] - (7*d[11])/3 - 
       (10*d[12])/3 + (8*d[14])/3 + 2*d[16] - (10*d[17])/3 + (16*d[18])/3 - 
       (4*d[19])/3 - (31*d[20])/6 + d[21] - (8*d[22])/3 - (7*d[23])/2 + 
       (79*d[24])/12 - (5*d[27])/3)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + ((-23*d[6])/6 - (4*d[10])/3 - (4*d[11])/3 + 
       (8*d[12])/3 + (3*d[14])/2 + (20*d[15])/3 + (19*d[16])/6 - 3*d[17] + 
       5*d[18] - (43*d[19])/6 - (55*d[20])/6 - (32*d[21])/3 - (43*d[22])/6 + 
       (13*d[23])/6 + (241*d[24])/12 + (4*d[26])/3 + d[32]/2 - d[34] + 
       d[35]/2 - 3*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + (d[3] - d[4] + d[5]/2 + d[6] + (3*d[7])/2 + 
       (3*d[8])/2 + 4*d[9] - d[10]/2 + (3*d[11])/2 - d[14] - d[15] - 
       2*d[16] + d[17] - 2*d[18] + d[19] + d[20] + d[21] + d[22] - 3*d[24] - 
       d[29]/2 - d[35]/2 - 3*d[36])*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + ((2*d[3])/3 + (4*d[7])/3 + (2*d[8])/3 - 
       (2*d[9])/3 + (2*d[10])/3 + (4*d[11])/3 - (4*d[12])/3 + (10*d[14])/3 + 
       (4*d[15])/3 - (2*d[16])/3 + (4*d[17])/3 - (8*d[18])/3 - (2*d[19])/3 - 
       (10*d[20])/3 - (4*d[21])/3 - (2*d[22])/3 + 4*d[24] - (2*d[32])/3 + 
       (4*d[34])/3 + (2*d[35])/3 + 4*d[36])*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + (-d[3] + d[4] - d[6] - d[7] - d[8] + d[9] + 
       (5*d[10])/2 - (7*d[11])/2 - 6*d[12] + (3*d[14])/4 + d[15]/2 + 
       (3*d[17])/2 - (7*d[18])/2 - 2*d[19] - (3*d[20])/4 + d[21]/2 + 
       (3*d[22])/2 - (5*d[23])/2 + d[24])*HPL[{0, 0, 1}, 1 - w]^2 + 
     ((-2*d[4])/3 - (59*d[6])/6 + 8*d[10] - 2*d[11] - (8*d[12])/3 + 
       (7*d[15])/3 + (55*d[17])/3 - (53*d[18])/3 - (7*d[19])/3 - 7*d[20] + 
       (13*d[21])/3 - (17*d[22])/3 + (34*d[23])/3 + 29*d[24])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((-7*d[4])/18 - d[5]/3 - (82*d[6])/9 + d[7]/6 + d[8]/6 + d[9]/6 + 
       6*d[10] - (13*d[11])/6 - (55*d[12])/18 + 2*d[14] - (7*d[15])/18 - 
       (4*d[16])/3 + (71*d[17])/18 + (65*d[18])/18 + (7*d[19])/18 - 
       (103*d[20])/12 + (119*d[21])/18 - (31*d[22])/18 + (53*d[23])/18 + 
       (257*d[24])/12 - d[26] - (2*d[27])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((19*d[4])/18 - (19*d[5])/36 - (19*d[6])/48 + (7*d[7])/72 - 
       (65*d[8])/72 + (103*d[9])/72 + (35*d[10])/36 + (2*d[11])/9 + 
       (7*d[12])/8 + (7*d[14])/6 + (133*d[15])/72 + (19*d[16])/18 - 
       (19*d[17])/6 + (19*d[18])/3 - (133*d[19])/72 - (263*d[20])/36 - 
       (247*d[21])/72 - (133*d[22])/72 - (41*d[23])/18 + (1943*d[24])/288 - 
       (19*d[27])/18)*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u] + 
     (d[3] + (2*d[4])/3 + (23*d[6])/6 - 8*d[10] + 2*d[11] - (4*d[12])/3 - 
       d[15]/3 + (23*d[17])/3 - (37*d[18])/3 + d[19]/3 + 7*d[20] + 
       (5*d[21])/3 - d[22]/3 - (22*d[23])/3 - 17*d[24])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((2*d[2])/3 + 2*d[4] - (8*d[5])/3 + (25*d[6])/2 - d[7]/6 + (29*d[8])/6 - 
       (31*d[9])/6 + 16*d[10] - (10*d[11])/3 + (37*d[12])/2 - 2*d[13] + 
       7*d[15] - 12*d[16] - (62*d[17])/3 + (130*d[18])/3 - (11*d[19])/3 + 
       (13*d[20])/3 - (37*d[21])/3 - d[22]/3 - (56*d[23])/3 - 
       (143*d[24])/12 + d[26]/3 + (5*d[27])/3 + 2*d[33] - 2*d[34])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (d[2]/3 - d[4] - (3*d[5])/4 + (5*d[6])/144 - (10*d[7])/3 + (3*d[8])/4 - 
       (5*d[9])/4 - (73*d[10])/36 + (44*d[11])/9 + (67*d[12])/18 - d[13]/3 + 
       (7*d[14])/6 + (67*d[15])/72 - (89*d[16])/18 - (7*d[17])/6 - 
       (5*d[18])/3 - (7*d[19])/72 + (35*d[20])/18 - (13*d[21])/72 - 
       (67*d[22])/72 + (275*d[23])/36 - (1495*d[24])/288 + (19*d[26])/36 + 
       (17*d[27])/12 + (5*d[33])/6 - (5*d[34])/6)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((-5*d[4])/2 + 4*d[5] - (25*d[6])/12 - 5*d[8] + 4*d[9] - 12*d[10] + 
       (31*d[11])/6 - (2*d[12])/3 + 2*d[13] - 2*d[14] - (23*d[15])/6 + 
       (28*d[16])/3 + (3*d[17])/2 + (11*d[18])/6 + (11*d[19])/6 + 
       (61*d[20])/12 + (47*d[21])/6 + (17*d[22])/6 - (2*d[23])/3 + 
       (53*d[24])/6 - d[26]/3 + d[27] - 2*d[33] + 2*d[34])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     (d[2]/3 + d[4]/2 - d[5]/4 - (29*d[6])/48 + d[7]/24 + (49*d[8])/24 - 
       (43*d[9])/24 + (13*d[10])/4 - (7*d[11])/3 - (101*d[12])/24 + d[13]/2 - 
       d[14]/2 - d[15]/24 - d[16]/2 - d[17]/3 - (10*d[18])/3 + d[19]/24 + 
       (125*d[20])/24 + (19*d[21])/24 + d[22]/24 + (75*d[23])/8 - 
       (235*d[24])/96 - d[26]/2 - d[27]/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u] + ((-11*d[2])/9 + (5*d[5])/4 - (7*d[6])/16 + 
       (11*d[7])/12 - (5*d[8])/2 + (5*d[9])/2 - (43*d[10])/12 - d[11]/6 + 
       (5*d[12])/3 + (5*d[13])/6 - d[14]/2 + (7*d[15])/8 + (11*d[16])/2 - 
       (7*d[17])/3 + (14*d[18])/3 - (41*d[19])/24 - (97*d[20])/24 - 
       (59*d[21])/24 - (7*d[22])/8 - (13*d[23])/24 + (911*d[24])/96 + 
       d[26]/4 - (5*d[27])/12 - (5*d[33])/6 + (5*d[34])/6)*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - u] + ((-4*d[4])/3 - (79*d[6])/6 - d[12]/3 - 
       d[15]/3 + (29*d[17])/3 - (34*d[18])/3 + d[19]/3 + (11*d[21])/3 - 
       (4*d[22])/3 + (20*d[23])/3 + 10*d[24])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     ((4*d[4])/3 - (2*d[5])/3 + (3*d[6])/2 + (11*d[7])/6 + (11*d[8])/6 - 
       (7*d[9])/6 + (7*d[10])/3 + (11*d[11])/6 + (10*d[15])/3 + (4*d[16])/3 - 
       (5*d[17])/2 + 4*d[18] - (13*d[19])/3 - (53*d[20])/6 - (17*d[21])/6 - 
       (13*d[22])/3 + (73*d[23])/12 + (379*d[24])/24 - (4*d[27])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     ((-17*d[6])/12 - (2*d[10])/3 - (2*d[11])/3 - (25*d[12])/6 + 
       (10*d[15])/3 + (4*d[16])/3 - (5*d[17])/2 + 4*d[18] - (13*d[19])/3 - 
       (53*d[20])/6 - (17*d[21])/6 - (13*d[22])/3 + (73*d[23])/12 + 
       (379*d[24])/24 + (2*d[26])/3)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (-2*d[2] + (41*d[4])/9 + (271*d[6])/9 - 
       (76*d[10])/3 + (19*d[11])/3 + (55*d[12])/18 - (22*d[15])/9 - 
       (485*d[17])/18 + (251*d[18])/9 + (31*d[19])/9 + (157*d[20])/6 - 
       (203*d[21])/18 + (104*d[22])/9 - (304*d[23])/9 - (479*d[24])/6)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((-23*d[4])/9 + (23*d[5])/18 + (89*d[6])/24 + (157*d[7])/36 + 
       (157*d[8])/36 - (203*d[9])/36 + (113*d[10])/18 - (61*d[11])/18 - 
       (13*d[12])/12 - (19*d[14])/3 + (523*d[15])/36 - (23*d[16])/9 + 
       (55*d[17])/6 - (37*d[18])/3 - (487*d[19])/36 + (253*d[20])/18 - 
       (331*d[21])/36 - (523*d[22])/36 + (763*d[23])/36 + (2333*d[24])/144 + 
       (23*d[27])/9)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (-d[1]/3 + (2*d[2])/3 - (8*d[3])/3 + 
       (4*d[4])/3 + (23*d[5])/2 + (347*d[6])/72 + d[7]/3 - (79*d[8])/6 + 
       (89*d[9])/6 - (391*d[10])/18 + (70*d[11])/9 - (283*d[12])/18 + 
       (23*d[13])/3 - 7*d[14] - (275*d[15])/36 + (244*d[16])/9 + 
       (25*d[17])/3 - (52*d[18])/3 + (119*d[19])/36 + (218*d[20])/9 + 
       (449*d[21])/36 + (371*d[22])/36 + (547*d[23])/36 + (1991*d[24])/144 - 
       (59*d[26])/18 - (13*d[27])/6 + (4*d[31])/3 + (2*d[32])/3 - 
       (23*d[33])/3 + (19*d[34])/3 + 4*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((7*d[4])/3 - (67*d[6])/6 + (76*d[10])/3 - (25*d[11])/3 + (5*d[12])/6 + 
       6*d[15] + (41*d[17])/6 + 11*d[18] - 5*d[19] - (109*d[20])/6 - 
       (17*d[21])/6 - (16*d[22])/3 + (76*d[23])/3 + (395*d[24])/6)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((-2*d[2])/3 - (13*d[3])/3 + (17*d[5])/6 + (25*d[6])/8 - (17*d[7])/12 + 
       (5*d[8])/4 - (25*d[9])/12 - (103*d[10])/6 - (2*d[11])/3 - 
       (37*d[12])/12 + (4*d[13])/3 + (17*d[14])/3 - d[15]/4 - (20*d[16])/3 + 
       2*d[17] - (14*d[18])/3 + (9*d[19])/4 - (7*d[20])/12 + (61*d[21])/12 + 
       (35*d[22])/12 + 2*d[23] - (337*d[24])/48 - d[26]/3 + 3*d[27] + 
       (4*d[31])/3 + (2*d[32])/3 - (4*d[33])/3 + 4*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (-d[4] - (19*d[5])/2 - (11*d[6])/24 - (19*d[7])/6 + (38*d[8])/3 - 
       (38*d[9])/3 + (49*d[10])/2 - 4*d[11] + (8*d[12])/3 - (19*d[13])/3 + 
       (19*d[14])/3 + (263*d[15])/12 - (109*d[16])/3 + (17*d[17])/6 + 
       d[18]/3 - (175*d[19])/12 - (43*d[20])/4 - (199*d[21])/12 - 
       (263*d[22])/12 + 8*d[23] - (223*d[24])/48 + (5*d[26])/6 + 
       (19*d[27])/6 + (19*d[33])/3 - (19*d[34])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (2*d[6] + 4*d[12] - d[15] + (3*d[17])/2 + 2*d[18] + 2*d[19] + 
       (9*d[20])/4 + (3*d[21])/2 + 2*d[22] - d[23]/2 - (19*d[24])/4)*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (-d[3] + d[6] + d[7] + d[8] - d[9] - 3*d[10] - (5*d[11])/2 - d[12] - 
       d[15] + (3*d[17])/2 + 2*d[18] + 2*d[19] + (9*d[20])/4 + (3*d[21])/2 + 
       2*d[22] - d[23]/2 - (19*d[24])/4)*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + ((-7*d[4])/9 - (13*d[6])/72 - (10*d[10])/3 + 
       (5*d[11])/6 - (7*d[12])/9 - d[15]/36 + (395*d[17])/36 - 
       (511*d[18])/36 + d[19]/36 + (35*d[20])/12 + (113*d[21])/36 - 
       (55*d[22])/36 - (47*d[23])/18 - (49*d[24])/12)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1, 1}, 1 - v] + (-d[3] + (7*d[4])/9 - (7*d[5])/18 + 
       (245*d[6])/24 + d[7]/144 + d[8]/144 + (55*d[9])/144 - (79*d[10])/18 + 
       (59*d[11])/72 - (77*d[12])/24 - (5*d[14])/6 - (721*d[15])/72 + 
       (7*d[16])/9 + (41*d[17])/3 - (58*d[18])/3 + (721*d[19])/72 + 
       (1877*d[20])/144 + (925*d[21])/72 + (577*d[22])/72 - 
       (3101*d[23])/144 - (11945*d[24])/288 - (7*d[27])/9)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (3*d[5] - d[6]/2 + (7*d[7])/2 - (5*d[8])/2 + (3*d[9])/2 + 2*d[10] - 
       2*d[11] - 2*d[12] + d[13] - 3*d[14] + 3*d[15] + 11*d[16] - 3*d[17] + 
       9*d[18] - 5*d[19] + (15*d[20])/2 - 5*d[21] - 3*d[22] + (3*d[23])/2 + 
       (47*d[24])/4 - d[27] - 2*d[33] + 2*d[34])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v] + 
     (-d[7]/6 - d[8]/6 + d[9]/6 - d[10] + (5*d[11])/3 + (5*d[12])/3 - 
       d[13]/3 + d[14]/3 - (29*d[20])/6 - (25*d[23])/12 + (5*d[24])/3)*
      HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - v] + 
     (d[2] + d[3]/3 + d[4] + (5*d[5])/4 + (1183*d[6])/144 + (5*d[7])/12 - 
       (5*d[8])/3 + (4*d[9])/3 - (143*d[10])/36 + (67*d[11])/36 + 
       (583*d[12])/144 + (17*d[13])/6 - (23*d[14])/6 + (7*d[15])/36 + 
       (301*d[16])/36 - (187*d[17])/6 + (71*d[18])/2 - (16*d[19])/9 + 
       (281*d[20])/144 - (415*d[21])/36 + (49*d[22])/18 - (461*d[23])/144 - 
       (571*d[24])/144 + (2*d[26])/9 - (5*d[27])/12 - d[31]/3 - d[32]/12 - 
       (5*d[33])/6 + (7*d[34])/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + ((2*d[4])/3 + (8*d[5])/3 - (17*d[6])/6 + 
       (2*d[7])/3 - (13*d[8])/3 + (14*d[9])/3 + d[10]/3 - (14*d[11])/3 + 
       (35*d[12])/6 + 2*d[13] - (8*d[14])/3 + (44*d[15])/3 + (38*d[16])/3 + 
       (64*d[17])/3 - 12*d[18] - (50*d[19])/3 + (27*d[20])/2 - 11*d[21] - 
       18*d[22] + (39*d[23])/2 + (623*d[24])/12 - (5*d[27])/3 - 2*d[33] + 
       2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (d[3]/3 - d[5]/3 - d[6]/4 + 2*d[8] - 2*d[9] - 
       (13*d[10])/6 + (8*d[11])/3 + (29*d[12])/12 + (2*d[13])/3 + d[14]/2 + 
       2*d[15] - (11*d[17])/3 + (25*d[18])/3 - 2*d[19] - (505*d[20])/24 - 
       2*d[21] - 2*d[22] - (87*d[23])/8 + (47*d[24])/24)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((8*d[2])/3 + (8*d[3])/3 - (19*d[4])/9 - (16*d[5])/3 - (673*d[6])/72 - 
       (7*d[7])/6 + (5*d[8])/6 + (11*d[9])/6 + (29*d[10])/3 + (5*d[11])/6 - 
       (35*d[12])/18 - (4*d[13])/3 + (2*d[14])/3 + (11*d[15])/36 - 
       (31*d[16])/3 + (575*d[17])/36 - (829*d[18])/36 - (23*d[19])/36 + 
       (3*d[20])/2 + (293*d[21])/36 - (205*d[22])/36 + (235*d[23])/18 + 
       (107*d[24])/6 - d[26] - (4*d[27])/3 - (4*d[31])/3 - (2*d[32])/3 + 
       (10*d[33])/3 - 2*d[34] - 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v] + (-d[2]/9 + (10*d[4])/9 - (53*d[5])/9 - 
       (43*d[6])/24 - (785*d[7])/144 + (1303*d[8])/144 - (1151*d[9])/144 + 
       (139*d[10])/9 - (163*d[11])/72 + (105*d[12])/8 - (43*d[13])/6 + 
       (19*d[14])/6 - (37*d[15])/72 - (170*d[16])/9 - (43*d[17])/6 + 
       15*d[18] + (301*d[19])/72 - (4231*d[20])/144 - (23*d[21])/72 + 
       (61*d[22])/72 - (3281*d[23])/144 - (6185*d[24])/288 + d[26] + 
       (19*d[27])/18 - d[28]/2 + (2*d[30])/3 + (11*d[33])/3 - (11*d[34])/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     ((-8*d[2])/9 + d[4]/3 - (5*d[5])/4 - (133*d[6])/144 - (5*d[7])/12 + 
       (5*d[8])/3 - (29*d[9])/18 + (89*d[10])/36 - (49*d[11])/36 + 
       (65*d[12])/16 - (5*d[13])/6 + (7*d[14])/6 + (3*d[15])/4 - 
       (13*d[16])/4 - (53*d[17])/18 + (61*d[18])/9 + d[19]/9 - 
       (71*d[20])/144 - (53*d[21])/18 - (7*d[22])/18 - (67*d[23])/48 + 
       (4*d[24])/9 + (11*d[26])/12 + (5*d[27])/12 + d[32]/18 + (5*d[33])/6 - 
       (5*d[34])/6)*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v] + 
     (-4*d[2] + 6*d[3] - (32*d[4])/9 - (13*d[5])/2 - (121*d[6])/36 + 
       (15*d[7])/2 - d[8]/2 - 5*d[9] + (34*d[10])/3 - (31*d[11])/3 + 
       (94*d[12])/9 - 4*d[13] - d[14] - (68*d[15])/9 + 14*d[16] + 
       (22*d[17])/9 + (371*d[18])/18 + (23*d[19])/9 - (95*d[20])/12 + 
       (113*d[21])/18 + (22*d[22])/9 + (311*d[23])/18 + (739*d[24])/12 + 
       (3*d[26])/2 - d[27] - 4*d[31] - 2*d[32] + 4*d[33] - 12*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     ((-4*d[4])/9 + (2*d[5])/9 + (35*d[6])/12 + (181*d[7])/72 + 
       (181*d[8])/72 - (197*d[9])/72 - (221*d[10])/18 + (95*d[11])/36 + 
       (13*d[12])/12 + (16*d[14])/3 - (235*d[15])/36 - (4*d[16])/9 + 
       (11*d[17])/6 + (4*d[18])/3 + (235*d[19])/36 - (499*d[20])/72 + 
       (259*d[21])/36 + (235*d[22])/36 - (1175*d[23])/72 - (3539*d[24])/144 + 
       (4*d[27])/9)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + ((4*d[2])/3 - 2*d[3] + (16*d[4])/3 - 
       (71*d[5])/6 - (455*d[6])/72 - (29*d[7])/6 + (29*d[8])/3 - 7*d[9] + 
       (212*d[10])/9 - (73*d[11])/9 + (823*d[12])/72 + (2*d[13])/3 + 
       7*d[14] + (61*d[15])/18 - (256*d[16])/9 + (2*d[17])/3 + (10*d[18])/3 + 
       (28*d[19])/9 - (517*d[20])/72 - (29*d[21])/9 - (23*d[22])/9 - 
       (731*d[23])/72 - (911*d[24])/36 + (11*d[26])/18 - (5*d[27])/6 + 
       (2*d[28])/3 + (2*d[29])/3 + (8*d[30])/3 + (2*d[31])/3 + (7*d[32])/6 + 
       5*d[33] - (17*d[34])/3 + (2*d[35])/3 + 4*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (-4*d[2] - 10*d[3] + (8*d[4])/3 + 15*d[5] - (59*d[6])/3 - 4*d[7] - 
       (17*d[8])/2 + 9*d[9] + (9*d[10])/2 + 10*d[11] + (13*d[12])/6 - 
       2*d[14] - (37*d[15])/3 + (23*d[16])/2 + (86*d[17])/3 - (239*d[18])/6 + 
       (89*d[19])/6 - (65*d[20])/4 + (53*d[21])/3 + (109*d[22])/6 + 
       (79*d[23])/6 + (157*d[24])/4 + d[26]/2 + (5*d[27])/2 + 4*d[31] + 
       2*d[32] - 9*d[33] + 5*d[34] + 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     ((4*d[4])/3 - (2*d[5])/3 + (3*d[6])/2 + (11*d[7])/6 + (11*d[8])/6 - 
       (7*d[9])/6 + (22*d[10])/3 - (7*d[11])/6 + d[12] + 2*d[14] - 
       (25*d[15])/6 + (4*d[16])/3 - d[17]/2 + 2*d[18] + (25*d[19])/6 - 
       (97*d[20])/12 + (13*d[21])/6 + (25*d[22])/6 - (131*d[23])/12 - 
       (251*d[24])/24 - (4*d[27])/3)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + ((-13*d[3])/3 + 8*d[4] - (25*d[5])/3 - 
       (17*d[6])/4 + (8*d[7])/3 + 14*d[8] - 14*d[9] + 11*d[10] - 
       (95*d[11])/6 + 13*d[12] - 6*d[13] + 2*d[14] + (35*d[15])/3 - 
       (157*d[16])/6 + (25*d[17])/6 - d[18]/6 - (11*d[19])/2 - 
       (265*d[20])/12 - (133*d[21])/6 - (59*d[22])/6 - (113*d[23])/12 - 
       (105*d[24])/8 + (5*d[26])/2 - 2*d[27] - (2*d[28])/3 - (2*d[29])/3 + 
       (8*d[30])/3 + (7*d[31])/3 + (7*d[32])/6 + (10*d[33])/3 - 
       (17*d[34])/3 - d[35]/3 + 8*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + ((2*d[3])/3 + (40*d[4])/9 - d[5]/3 + 
       (1037*d[6])/36 + (4*d[7])/3 + (4*d[8])/3 - d[9]/3 - (43*d[10])/3 + 
       d[11] - (8*d[12])/9 - (49*d[15])/18 + d[16] - (619*d[17])/18 + 
       (695*d[18])/18 + (37*d[19])/18 + (103*d[20])/6 - (205*d[21])/18 + 
       (137*d[22])/18 - (278*d[23])/9 - (409*d[24])/6 - (2*d[27])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((2*d[2])/3 - 2*d[3] - (34*d[4])/9 + (53*d[5])/9 + (17*d[6])/12 - 
       (17*d[7])/72 - (17*d[8])/72 + (25*d[9])/72 - (49*d[10])/9 - 
       (7*d[11])/36 + d[12]/12 + (4*d[13])/3 - 7*d[14] - (331*d[15])/36 - 
       (31*d[16])/9 + (34*d[17])/3 - 17*d[18] + (367*d[19])/36 + 
       (275*d[20])/72 + (523*d[21])/36 + (439*d[22])/36 - (383*d[23])/72 - 
       (3791*d[24])/144 + (40*d[27])/9 + (4*d[31])/3 + d[32]/3 - 2*d[33] + 
       (2*d[34])/3 + 4*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (d[2]/3 - (10*d[3])/3 + 3*d[4] + (9*d[5])/2 + 
       (229*d[6])/72 - (19*d[7])/6 - (11*d[8])/3 + (11*d[9])/3 - 
       (106*d[10])/9 + (38*d[11])/9 - (407*d[12])/72 - (20*d[14])/3 - 
       (65*d[15])/18 + (37*d[16])/18 + 15*d[17] - 16*d[18] + (19*d[19])/9 + 
       (173*d[20])/72 + (215*d[21])/18 + (37*d[22])/9 - (143*d[23])/72 - 
       (865*d[24])/72 - d[25]/6 - (26*d[26])/9 - (7*d[27])/6 - (2*d[28])/3 - 
       (2*d[29])/3 + (8*d[30])/3 + 2*d[31] + d[32]/6 - (7*d[33])/3 + 
       d[34]/3 - (4*d[35])/3 + 4*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (d[4] - 5*d[5] - 6*d[6] - d[7] - 5*d[8] - 
       7*d[9] - 5*d[10] - (17*d[11])/2 + 5*d[12] + d[13] + 3*d[14] + 
       5*d[15] + 13*d[16] - 5*d[17] + 11*d[18] - 6*d[19] - 10*d[20] - 
       9*d[21] - 7*d[22] + 9*d[23] + 36*d[24] + d[26] - 2*d[27] + d[29] - 
       2*d[31] - d[32] + 2*d[34] + d[35] + 6*d[36])*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + (2*d[2] + 4*d[3] - 2*d[4] - 8*d[5] - d[6] - 
       d[7]/2 + (17*d[8])/2 - (31*d[9])/2 - 8*d[10] - 8*d[11] + 9*d[12] - 
       3*d[14] - d[15] - 7*d[16] - (25*d[17])/2 + (37*d[18])/2 + d[20]/2 + 
       2*d[21] - 6*d[22] + 3*d[23] - 30*d[24] - d[26] - d[27] - 2*d[31] - 
       (5*d[32])/2 + 6*d[33] - 2*d[34] - d[35])*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + ((-4*d[4])/3 + (2*d[5])/3 + 4*d[6] + 4*d[7] + 
       4*d[8] - (14*d[9])/3 - 5*d[10] + 3*d[11] + (10*d[12])/3 - 
       (16*d[14])/3 + 2*d[15] - (4*d[16])/3 + d[17]/3 + (14*d[18])/3 - 
       (8*d[19])/3 - d[20]/2 + (2*d[21])/3 - (16*d[22])/3 - (5*d[23])/3 - 
       (5*d[24])/6 + (4*d[27])/3)*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (-8*d[3] + 6*d[4] + 7*d[5] - 4*d[6] - 14*d[7] - 
       6*d[8] + 11*d[9] + 8*d[10] + (9*d[11])/2 - 6*d[12] + 4*d[13] - 
       15*d[15] - 14*d[16] - 3*d[17] - 11*d[18] + 19*d[19] + (9*d[20])/2 + 
       13*d[21] + 23*d[22] - (27*d[23])/2 - (87*d[24])/2 - d[26] + 2*d[27] + 
       4*d[31] + 2*d[32] - 4*d[33] + 12*d[36])*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + (-d[2] - 4*d[3] + 4*d[4] + (9*d[5])/2 - d[6] - 
       d[7] - d[8]/2 + (5*d[9])/2 + 7*d[10] + d[11] - d[12] + d[13] + d[14] + 
       d[15]/4 + d[16]/2 + (29*d[17])/4 - (49*d[18])/4 + 2*d[19] - 10*d[20] - 
       (7*d[21])/2 + 5*d[22] - (13*d[23])/2 - (7*d[24])/2 - d[27]/2 + 
       2*d[31] + d[32] - 3*d[33] + d[34] + 6*d[36])*HPL[{0, 1, 1}, 1 - v]^2 + 
     ((-4*d[4])/3 - (47*d[6])/8 + (10*d[10])/3 - (5*d[11])/6 - (4*d[12])/3 + 
       (13*d[15])/12 + (185*d[17])/12 - (197*d[18])/12 - (13*d[19])/12 - 
       (35*d[20])/12 + (17*d[21])/4 - (15*d[22])/4 + (31*d[23])/6 + 
       (181*d[24])/12)*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - w] + 
     ((-7*d[3])/3 + (7*d[4])/2 - (3*d[5])/4 + (205*d[6])/16 - (3*d[7])/16 - 
       (27*d[8])/16 + (53*d[9])/48 + (7*d[10])/2 - (17*d[11])/24 + 
       (29*d[12])/12 + 2*d[13] - (13*d[14])/6 + (7*d[15])/6 + (47*d[16])/12 - 
       32*d[17] + (223*d[18])/6 - (23*d[19])/12 - (21*d[20])/16 - 
       (25*d[21])/2 + (7*d[22])/4 - (79*d[23])/16 - (161*d[24])/24 - 
       (11*d[27])/6 - d[31]/3 - d[32]/12 + d[34]/3)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (3*d[3] - (109*d[4])/18 - (14*d[5])/3 - (407*d[6])/72 + 2*d[7] + 
       (14*d[8])/3 - 7*d[9] - (14*d[10])/3 + (19*d[11])/6 + (23*d[12])/18 - 
       (4*d[13])/3 + (2*d[14])/3 - (29*d[15])/36 - (31*d[16])/3 + 
       (415*d[17])/36 - (749*d[18])/36 + (17*d[19])/36 + (22*d[20])/3 + 
       (253*d[21])/36 - (125*d[22])/36 + (95*d[23])/18 - (4*d[24])/3 + 
       d[26]/3 + 3*d[27] - (4*d[31])/3 - (2*d[32])/3 + (10*d[33])/3 - 
       2*d[34] - 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - w] + ((2*d[3])/9 + (10*d[4])/9 - (2*d[5])/3 - 
       (65*d[6])/144 - (35*d[7])/48 - (97*d[8])/144 + (149*d[9])/144 + 
       (61*d[10])/36 - (25*d[11])/8 - (10*d[12])/9 - d[14]/2 - (2*d[15])/9 + 
       (43*d[16])/36 - (19*d[17])/9 + (46*d[18])/9 + d[19]/4 + 
       (133*d[20])/48 - (71*d[21])/36 + (7*d[22])/12 + (49*d[23])/144 + 
       (51*d[24])/16 - (13*d[27])/12 + d[32]/18)*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - w] + ((-4*d[4])/3 - (5*d[5])/4 - (10*d[6])/3 - 
       (5*d[7])/12 + (5*d[8])/3 - (5*d[9])/3 + (20*d[10])/3 - (25*d[11])/12 - 
       (19*d[12])/16 - (5*d[13])/6 + (5*d[14])/6 - (51*d[15])/8 - 
       (11*d[16])/3 + (47*d[17])/2 - 23*d[18] + (173*d[19])/24 - 
       (203*d[20])/48 + (349*d[21])/24 + (41*d[22])/24 - (221*d[23])/48 + 
       (57*d[24])/32 + (2*d[26])/3 + (5*d[27])/12 + (5*d[33])/6 - 
       (5*d[34])/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((2*d[4])/3 - (2*d[5])/3 + (37*d[6])/6 + (5*d[7])/6 + (5*d[8])/6 - 
       d[9]/6 - (19*d[10])/3 - 2*d[11] - 7*d[12] + (4*d[14])/3 + 
       (43*d[15])/3 + 2*d[16] + (26*d[17])/3 - (8*d[18])/3 - (43*d[19])/3 + 
       (59*d[20])/3 - 16*d[21] - 15*d[22] - (10*d[23])/3 - (2*d[24])/3 + 
       d[26]/3 - (4*d[27])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((2*d[4])/3 - (19*d[5])/12 - (65*d[6])/72 - 
       d[7]/4 + 6*d[8] - 5*d[9] + (44*d[10])/9 - (103*d[11])/36 + 
       (719*d[12])/144 - (13*d[13])/3 - (5*d[14])/2 - (275*d[15])/72 - 
       (34*d[16])/9 - (13*d[17])/3 + (28*d[18])/3 + (335*d[19])/72 - 
       (2633*d[20])/144 + (215*d[21])/72 + (299*d[22])/72 - 
       (2431*d[23])/144 - (3499*d[24])/288 + d[26]/9 - d[27]/4 - d[28]/2 + 
       (2*d[30])/3 + (5*d[33])/6 - (5*d[34])/6)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((-5*d[2])/3 - (2*d[6])/3 - (2*d[10])/3 - (2*d[11])/3 + (65*d[12])/6 - 
       d[13] + d[14] + (16*d[15])/3 + d[16]/3 - 5*d[17] + 13*d[18] - 
       (16*d[19])/3 - d[20]/3 - (22*d[21])/3 - (16*d[22])/3 - (8*d[23])/3 + 
       (31*d[24])/6 + (2*d[26])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w] + ((7*d[2])/9 + 3*d[5] + (3*d[6])/4 + 
       (5*d[7])/12 - (31*d[8])/12 + (31*d[9])/12 - (22*d[10])/3 + 
       (7*d[11])/6 + (23*d[12])/6 + (8*d[13])/3 - (7*d[14])/2 - d[15]/3 + 
       (32*d[16])/3 - (5*d[17])/3 + (13*d[18])/3 - (5*d[19])/3 - 
       (317*d[20])/24 + d[21]/3 + d[22]/3 - (161*d[23])/24 + (205*d[24])/24 - 
       (2*d[26])/3 - d[27] - 2*d[33] + 2*d[34])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w] + 
     (d[1]/6 + d[2]/18 - d[5]/3 + (3*d[12])/2 - d[13]/3 + d[14]/3 - 
       (29*d[20])/6 - (25*d[23])/12 + (5*d[24])/3)*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - w] + (9*d[3] - (5*d[4])/6 - 9*d[5] + (377*d[6])/12 + 
       (15*d[7])/2 - 2*d[8] - (11*d[9])/2 - (79*d[10])/3 + (77*d[11])/6 - 
       (5*d[12])/6 - 4*d[13] - d[14] - 16*d[15] + 14*d[16] - (94*d[17])/3 + 
       (75*d[18])/2 + 11*d[19] + (437*d[20])/12 - (13*d[21])/6 + 
       (58*d[22])/3 - (251*d[23])/6 - (1009*d[24])/12 - d[26] - (3*d[27])/2 - 
       4*d[31] - 2*d[32] + 4*d[33] - 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((-14*d[3])/3 - 3*d[4] + d[5] - (53*d[6])/24 + (5*d[7])/8 + 
       (7*d[8])/24 - (55*d[9])/24 + d[10] + (5*d[11])/4 + (17*d[12])/3 + 
       7*d[13] - (17*d[14])/3 - 4*d[15] + (16*d[16])/3 + 7*d[17] - 
       (28*d[18])/3 + (25*d[19])/6 + (141*d[20])/8 + (25*d[21])/6 + 
       (29*d[22])/6 + (73*d[23])/24 - (107*d[24])/24 + 2*d[26] + 
       (8*d[27])/3 + (2*d[28])/3 + (2*d[29])/3 + (8*d[30])/3 + (2*d[31])/3 + 
       (7*d[32])/6 - (4*d[33])/3 + (2*d[34])/3 + (2*d[35])/3 + 4*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (-2*d[2] + (19*d[5])/2 + (73*d[6])/12 + (19*d[7])/6 - (38*d[8])/3 + 
       (38*d[9])/3 - 23*d[10] + (11*d[11])/2 - (217*d[12])/24 + 
       (19*d[13])/3 - (22*d[14])/3 - (167*d[15])/12 + (100*d[16])/3 + 
       (49*d[17])/6 - (34*d[18])/3 + (91*d[19])/12 + (143*d[20])/8 + 
       (175*d[21])/12 + (167*d[22])/12 - (25*d[23])/8 - (179*d[24])/48 + 
       d[25]/2 - (7*d[26])/3 - (19*d[27])/6 - (19*d[33])/3 + (19*d[34])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((2*d[4])/9 - (545*d[6])/36 - (2*d[9])/3 + 25*d[10] - 6*d[11] - 
       (52*d[12])/9 + (103*d[15])/18 + d[16] - (11*d[17])/18 + 
       (391*d[18])/18 - (115*d[19])/18 - (163*d[20])/6 - (53*d[21])/18 - 
       (167*d[22])/18 + (254*d[23])/9 + (155*d[24])/2 + d[26])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (-3*d[3] - (55*d[4])/18 - (91*d[5])/18 + (97*d[6])/24 - d[7]/72 + 
       (1103*d[8])/72 - (895*d[9])/72 - (175*d[10])/18 - (35*d[11])/36 + 
       (19*d[12])/2 - (19*d[13])/3 + 6*d[14] + (34*d[15])/9 - 
       (571*d[16])/18 + (26*d[17])/3 - (10*d[18])/3 + (19*d[19])/18 - 
       (1613*d[20])/72 + (41*d[21])/9 - (59*d[22])/18 - (1093*d[23])/72 - 
       (1183*d[24])/36 + (43*d[27])/18 - (2*d[28])/3 - (2*d[29])/3 + 
       (8*d[30])/3 + 2*d[31] + d[32]/6 + 4*d[33] - 6*d[34] - (4*d[35])/3 + 
       4*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (-d[1]/3 + (4*d[2])/3 - (8*d[3])/3 + (8*d[4])/3 - (41*d[5])/6 + 
       (22*d[6])/9 - (31*d[7])/6 + (29*d[8])/3 - (28*d[9])/3 + 
       (226*d[10])/9 - (85*d[11])/18 + (467*d[12])/72 - 5*d[13] + 
       (17*d[14])/3 - (65*d[15])/36 - (335*d[16])/9 + 5*d[17] - 
       (13*d[18])/3 + (329*d[19])/36 - (1511*d[20])/72 + (257*d[21])/36 + 
       (173*d[22])/36 - (1333*d[23])/72 - (6793*d[24])/144 - (2*d[25])/3 - 
       (4*d[26])/9 + (17*d[27])/6 + (4*d[31])/3 + d[32]/3 + (13*d[33])/3 - 
       (17*d[34])/3 + 4*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + (-3*d[2] - 8*d[3] + (14*d[4])/3 + (29*d[5])/2 - 
       (56*d[6])/3 + d[7]/2 - (13*d[8])/2 + 14*d[9] - 7*d[10] - (5*d[11])/2 - 
       (34*d[12])/3 - 2*d[14] - (37*d[15])/3 + (23*d[16])/2 + (86*d[17])/3 - 
       (239*d[18])/6 + (89*d[19])/6 - (65*d[20])/4 + (53*d[21])/3 + 
       (109*d[22])/6 + (79*d[23])/6 + (157*d[24])/4 - 2*d[26] - 3*d[27] + 
       4*d[31] + 2*d[32] - 9*d[33] + 5*d[34] + 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((-20*d[3])/3 + (34*d[4])/3 - (8*d[5])/3 - (7*d[6])/2 - d[7]/2 + 
       (27*d[8])/2 - (5*d[9])/2 + (67*d[10])/6 - (31*d[11])/3 + 
       (61*d[12])/6 - 6*d[13] + 2*d[14] + (35*d[15])/3 - (157*d[16])/6 + 
       (25*d[17])/6 - d[18]/6 - (11*d[19])/2 - (265*d[20])/12 - 
       (133*d[21])/6 - (59*d[22])/6 - (113*d[23])/12 - (105*d[24])/8 + 
       2*d[26] - 3*d[27] - (2*d[28])/3 - (2*d[29])/3 + (8*d[30])/3 + 
       (7*d[31])/3 + (7*d[32])/6 + (10*d[33])/3 - (17*d[34])/3 - d[35]/3 + 
       8*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (-2*d[2] - (23*d[6])/12 - (2*d[10])/3 - (2*d[11])/3 + (25*d[12])/3 + 
       2*d[14] - (25*d[15])/6 + (4*d[16])/3 - d[17]/2 + 2*d[18] + 
       (25*d[19])/6 - (97*d[20])/12 + (13*d[21])/6 + (25*d[22])/6 - 
       (131*d[23])/12 - (251*d[24])/24 + d[25]/2 + (2*d[26])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (-6*d[2] - (3*d[3])/2 + 2*d[4] - 7*d[5] - 9*d[6] + 2*d[7] + d[8] - 
       3*d[9] + (7*d[10])/2 + (3*d[11])/2 - d[12] + d[13] + 3*d[14] + 
       5*d[15] + 13*d[16] - 5*d[17] + 11*d[18] - 6*d[19] - 10*d[20] - 
       9*d[21] - 7*d[22] + 9*d[23] + 36*d[24] + d[26] - d[27] + d[29] - 
       2*d[31] - d[32] + 2*d[34] + d[35] + 6*d[36])*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w] + ((-2*d[2])/3 - (5*d[4])/3 + (4*d[6])/3 + 
       (2*d[10])/3 + (2*d[11])/3 - (4*d[12])/3 - (16*d[14])/3 + 2*d[15] - 
       (4*d[16])/3 + d[17]/3 + (14*d[18])/3 - (8*d[19])/3 - d[20]/2 + 
       (2*d[21])/3 - (16*d[22])/3 - (5*d[23])/3 - (5*d[24])/6 - d[25])*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (6*d[3] - 4*d[4] - 2*d[5] + d[6] + (5*d[7])/2 + (21*d[8])/2 - 
       (11*d[9])/2 + d[10] + (13*d[11])/2 + 2*d[12] - 3*d[14] - d[15] - 
       7*d[16] - (25*d[17])/2 + (37*d[18])/2 + d[20]/2 + 2*d[21] - 6*d[22] + 
       3*d[23] - 30*d[24] + d[26] + d[27] - 2*d[31] - (5*d[32])/2 + 6*d[33] - 
       2*d[34] - d[35])*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((-15*d[3])/2 + 8*d[4] + 8*d[5] - (13*d[7])/2 + (5*d[8])/2 + 
       (9*d[9])/2 - (3*d[10])/2 - 8*d[11] + (17*d[12])/2 + 4*d[13] - 
       15*d[15] - 14*d[16] - 3*d[17] - 11*d[18] + 19*d[19] + (9*d[20])/2 + 
       13*d[21] + 23*d[22] - (27*d[23])/2 - (87*d[24])/2 + d[27] + 4*d[31] + 
       2*d[32] - 4*d[33] + 12*d[36])*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w] + ((4*d[3])/3 + d[4] - 2*d[5] - 6*d[6] + 3*d[7] + 
       (23*d[8])/3 - (23*d[9])/3 - (11*d[10])/3 + (4*d[11])/3 + 
       (11*d[12])/3 + 4*d[13] + 4*d[14] - (20*d[15])/3 + (62*d[16])/3 - 
       8*d[17] + (20*d[18])/3 + 4*d[19] - (17*d[20])/3 + (8*d[21])/3 + 
       (4*d[22])/3 + (11*d[23])/3 + (37*d[24])/3 + (2*d[26])/3 - 
       (4*d[27])/3 + (4*d[29])/3 - (16*d[30])/3 + (4*d[31])/3 + (2*d[32])/3 + 
       (8*d[33])/3 - 4*d[34] + (8*d[35])/3 - 8*d[36])*HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + ((7*d[2])/3 - 4*d[3] + 4*d[4] + 5*d[5] - d[6] - 
       2*d[7] - (3*d[8])/2 + 5*d[9] - (3*d[10])/2 - (7*d[11])/2 + 
       (11*d[12])/2 + d[13] + d[14] + d[15]/4 + d[16]/2 + (29*d[17])/4 - 
       (49*d[18])/4 + 2*d[19] - 10*d[20] - (7*d[21])/2 + 5*d[22] - 
       (13*d[23])/2 - (7*d[24])/2 + d[25]/4 - d[27]/2 + 2*d[31] + d[32] - 
       3*d[33] + d[34] + 6*d[36])*HPL[{0, 1, 1}, 1 - w]^2 + 
     ((-8*d[4])/3 - (13*d[6])/3 - (8*d[12])/3 + (4*d[15])/3 + (100*d[17])/3 - 
       (116*d[18])/3 - (4*d[19])/3 + (28*d[21])/3 - (20*d[22])/3 + 
       (4*d[23])/3 + 12*d[24])*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - u] + 
     (2*d[4] - (4*d[5])/3 - (34*d[6])/3 - d[7]/3 - d[8]/3 + (5*d[9])/3 + 
       (38*d[10])/3 - (16*d[11])/3 - (5*d[12])/3 + 5*d[15] + (8*d[16])/3 - 
       (2*d[17])/3 + (28*d[18])/3 - 5*d[19] - (73*d[20])/6 - (19*d[21])/3 - 
       (19*d[22])/3 + (17*d[23])/2 + (391*d[24])/12 - (8*d[27])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((2*d[4])/3 - d[5]/3 - (4*d[7])/3 - d[8]/3 + (2*d[9])/3 - d[10]/3 - 
       d[11]/3 + d[12] + 2*d[14] + (2*d[15])/3 + (2*d[16])/3 - 2*d[17] + 
       4*d[18] - (2*d[19])/3 - (31*d[20])/6 - (5*d[21])/3 - (2*d[22])/3 - 
       (17*d[23])/6 + (37*d[24])/12 - (2*d[27])/3)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - u] + (4*d[2] + (2*d[4])/3 + (3*d[6])/2 - 
       (28*d[10])/3 + (2*d[11])/3 + (28*d[12])/3 + (7*d[15])/3 + 
       (8*d[16])/3 - (34*d[17])/3 + (44*d[18])/3 - (7*d[19])/3 + 
       (11*d[20])/6 - 9*d[21] - d[22] - (61*d[23])/6 - (161*d[24])/12 + 
       (4*d[26])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u] + ((-8*d[2])/3 - (2*d[4])/3 - (8*d[5])/3 - 
       (5*d[6])/6 - (2*d[7])/3 + (13*d[8])/3 - (14*d[9])/3 + 12*d[10] - 
       d[11] + (5*d[12])/3 - 2*d[13] - d[15] - (20*d[16])/3 - 2*d[17] + 
       4*d[18] + 3*d[19] - (5*d[20])/2 + 3*d[21] + d[22] + (5*d[23])/2 + 
       (41*d[24])/12 + d[26]/3 + (5*d[27])/3 + 2*d[33] - 2*d[34])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-d[1] - 2*d[2] + 3*d[5] + d[6]/3 + d[7] - 4*d[8] + 4*d[9] - 
       (23*d[10])/3 + (4*d[11])/3 - (8*d[12])/3 + 2*d[13] - 2*d[14] - 
       (5*d[15])/3 + (34*d[16])/3 - d[19]/3 + (8*d[20])/3 + (2*d[21])/3 + 
       (5*d[22])/3 + (4*d[23])/3 + (29*d[24])/3 - d[26]/3 - d[27] - 2*d[33] + 
       2*d[34])*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u] + 
     (4*d[16] + 8*d[24])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-4*d[2] + 2*d[4] + 2*d[7] + 4*d[16] + 8*d[24])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u] + (8*d[6] - 8*d[10] + 2*d[11] + 4*d[17] - 
       8*d[18] + 7*d[20] - 10*d[23] - 21*d[24])*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1}, 1 - v] + ((-8*d[4])/3 - (37*d[6])/3 + 4*d[10] - 
       (8*d[12])/3 - 2*d[14] - (2*d[15])/3 + (58*d[17])/3 - (68*d[18])/3 + 
       (2*d[19])/3 + 2*d[20] + (22*d[21])/3 - (8*d[22])/3 + (16*d[23])/3 + 
       12*d[24])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-d[3] + (8*d[4])/3 - (4*d[5])/3 - d[6] - (4*d[7])/3 - d[8]/3 + 
       (5*d[9])/3 + (14*d[10])/3 - (16*d[11])/3 - d[12] + (5*d[15])/3 + 
       (8*d[16])/3 - 6*d[17] + 12*d[18] - (5*d[19])/3 - (19*d[20])/6 - 
       (17*d[21])/3 - (5*d[22])/3 - (5*d[23])/6 + (91*d[24])/12 - 
       (8*d[27])/3)*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((-4*d[2])/3 + 3*d[5] - 7*d[6] + d[7] - 4*d[8] + 4*d[9] - d[11] + 
       2*d[12] + 2*d[13] - 2*d[14] + 2*d[15] + 12*d[16] + 10*d[17] - 
       8*d[18] - 4*d[19] - 5*d[20] - 4*d[22] + 10*d[23] + 35*d[24] - d[27] - 
       2*d[33] + 2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v] + ((-4*d[4])/3 - (5*d[6])/6 - d[10]/3 + 
       (5*d[11])/3 + (17*d[12])/3 + 2*d[14] + (5*d[15])/3 + (2*d[16])/3 - 
       8*d[17] + 16*d[18] + d[19] - (41*d[20])/3 - (8*d[21])/3 + d[22] + 
       d[23] + (25*d[24])/3 + d[26]/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v] + ((4*d[1])/3 + d[2] - 3*d[5] - (3*d[6])/2 - 
       d[7] + 4*d[8] - 4*d[9] + 7*d[10] - 2*d[11] + 5*d[12] - 2*d[13] + 
       2*d[14] + 2*d[15] - 10*d[16] - 2*d[17] + 4*d[18] - (9*d[20])/2 - 
       3*d[21] - 2*d[22] - (7*d[23])/2 - (17*d[24])/4 + d[26] + d[27] + 
       2*d[33] - 2*d[34])*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-d[4] + d[6] + d[12] + d[14]/2 + d[15] + d[17] - 2*d[18] - 2*d[19] - 
       d[20]/2 - d[21] - 3*d[22] - d[23] + d[24] + d[25]/2)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-2*d[4] + 2*d[19] - 4*d[22] + 4*d[23])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v] + ((2*d[2])/3 + (2*d[4])/3 + (2*d[6])/3 + 
       (2*d[12])/3 + (5*d[14])/3 + (2*d[15])/3 + (2*d[17])/3 - (4*d[18])/3 + 
       (4*d[19])/3 - (5*d[20])/3 - (2*d[21])/3 + (10*d[22])/3 + 
       (10*d[23])/3 + (2*d[24])/3 + d[25]/3)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v] + (-d[3] - (4*d[4])/3 - (17*d[6])/3 + 
       8*d[10] - 2*d[11] - (4*d[12])/3 + (8*d[15])/3 + (44*d[17])/3 - 
       (40*d[18])/3 - (8*d[19])/3 - 7*d[20] + (8*d[21])/3 - (16*d[22])/3 + 
       (26*d[23])/3 + 25*d[24])*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - w] + 
     (2*d[3] + (2*d[4])/3 - (2*d[5])/3 + (14*d[6])/3 - (2*d[7])/3 - 
       (2*d[8])/3 + (4*d[9])/3 - 11*d[10] + (4*d[11])/3 + d[12]/3 + 2*d[14] + 
       (5*d[15])/3 + (4*d[16])/3 - (8*d[17])/3 + (4*d[18])/3 - (5*d[19])/3 + 
       (7*d[20])/6 - 5*d[21] - d[22] - (77*d[23])/6 - (211*d[24])/12 - 
       (4*d[27])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w] + (d[3]/2 + (2*d[4])/3 - d[5]/3 - (4*d[7])/3 - 
       (4*d[8])/3 + (5*d[9])/3 + (19*d[10])/6 - (7*d[11])/3 - 2*d[14] - 
       d[15]/3 + (2*d[16])/3 + d[19]/3 + (10*d[20])/3 - (2*d[21])/3 + 
       d[22]/3 + (2*d[23])/3 + (7*d[24])/3 - (2*d[27])/3)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - w] + ((-2*d[4])/3 - 3*d[5] - (23*d[6])/2 - d[7] + 
       4*d[8] - 4*d[9] + (22*d[10])/3 - (5*d[11])/3 - (7*d[12])/3 - 2*d[13] + 
       2*d[14] + (5*d[15])/3 - (32*d[16])/3 + (52*d[17])/3 - (56*d[18])/3 + 
       d[19]/3 - (35*d[20])/6 + 5*d[21] - 5*d[22] + (7*d[23])/6 + 
       (65*d[24])/12 + (2*d[26])/3 + d[27] + 2*d[33] - 2*d[34])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (2*d[4] + (8*d[5])/3 - d[6]/3 + (5*d[7])/3 - (10*d[8])/3 + (11*d[9])/3 - 
       (5*d[10])/3 + 4*d[11] + 3*d[12] + 2*d[13] - 2*d[14] - (2*d[15])/3 + 
       (34*d[16])/3 - 6*d[17] + 12*d[18] + (4*d[19])/3 - (35*d[20])/6 - 
       d[21]/3 + (10*d[22])/3 + (31*d[23])/6 + (179*d[24])/12 - (2*d[26])/3 - 
       (5*d[27])/3 - 2*d[33] + 2*d[34])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + ((-2*d[2])/3 - (11*d[6])/6 - (4*d[10])/3 - 
       (4*d[11])/3 + (26*d[12])/3 + (5*d[15])/3 + (8*d[16])/3 - 6*d[17] + 
       12*d[18] - (5*d[19])/3 - (19*d[20])/6 - (17*d[21])/3 - (5*d[22])/3 - 
       (5*d[23])/6 + (91*d[24])/12 + (4*d[26])/3)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - w] + (-d[3] - d[6] - d[7] - d[8] + d[9] + d[10] + 
       d[11] + 2*d[12] + d[14]/2 + d[15] + d[17] - 2*d[18] - 2*d[19] - 
       d[20]/2 - d[21] - 3*d[22] - d[23] + d[24])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w] + ((4*d[4])/3 - (2*d[6])/3 - (2*d[7])/3 - 
       (2*d[8])/3 + (2*d[9])/3 + 2*d[10] - (14*d[11])/3 - (4*d[12])/3 + 
       (5*d[14])/3 + (2*d[15])/3 + (2*d[17])/3 - (4*d[18])/3 + (4*d[19])/3 - 
       (5*d[20])/3 - (2*d[21])/3 + (10*d[22])/3 + (10*d[23])/3 + (2*d[24])/3)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (2*d[3] - 2*d[4] + 4*d[11] + 8*d[12] + 2*d[19] - 4*d[22] + 4*d[23])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (-7*d[6] + 4*d[23] + 4*d[24])*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + (-2*d[3] + 2*d[4] - 19*d[6] + 35*d[10] - 
       (13*d[11])/2 + 2*d[12] + 4*d[15] + d[17]/2 + (29*d[18])/2 - 3*d[19] - 
       (63*d[20])/2 + 3*d[21] - 6*d[22] + (77*d[23])/2 + (347*d[24])/4)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-2*d[4] + d[5] + d[6] + d[7]/2 + d[8]/2 - (3*d[9])/2 - 16*d[10] + 
       9*d[11] + (9*d[12])/2 + (17*d[14])/2 + (5*d[15])/4 - 2*d[16] - 
       d[17]/4 + (3*d[18])/4 - (3*d[19])/2 - 17*d[20] + (3*d[21])/2 - 
       (3*d[22])/2 - (19*d[23])/2 + d[24]/2 + 2*d[27])*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + ((5*d[4])/3 + (121*d[6])/3 - 40*d[10] + 
       10*d[11] - (34*d[12])/3 - (28*d[15])/3 - (317*d[17])/6 + 
       (247*d[18])/6 + (31*d[19])/3 + (77*d[20])/2 - (31*d[21])/3 + 
       (62*d[22])/3 - (329*d[23])/6 - (573*d[24])/4 + d[26]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((8*d[3])/3 - (10*d[4])/3 - (28*d[5])/3 - (13*d[6])/3 - d[7]/3 + 
       (38*d[8])/3 - (43*d[9])/3 + (104*d[10])/3 - 7*d[11] + (46*d[12])/3 - 
       (14*d[13])/3 - (8*d[14])/3 - (5*d[15])/3 - (82*d[16])/3 + 
       (14*d[17])/3 - 12*d[18] + (19*d[19])/3 + (79*d[20])/6 + d[21] - 
       d[22] + (25*d[23])/6 - (167*d[24])/4 + 3*d[26] + (11*d[27])/3 + 
       (2*d[29])/3 + (22*d[33])/3 - (22*d[34])/3 + (4*d[35])/3 - 8*d[36])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-2*d[2] + 15*d[5] + (35*d[6])/6 + 5*d[7] - 20*d[8] + 20*d[9] - 
       (107*d[10])/3 + (28*d[11])/3 - (53*d[12])/3 + 10*d[13] - 
       (23*d[14])/2 - (125*d[15])/12 + (154*d[16])/3 + (39*d[17])/4 - 
       (77*d[18])/4 + d[19]/6 + (133*d[20])/6 + (79*d[21])/6 + (61*d[22])/6 + 
       (34*d[23])/3 + (401*d[24])/12 + d[25]/4 - (13*d[26])/3 - 5*d[27] - 
       10*d[33] + 10*d[34])*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u] + 
     (2*d[3] - 3*d[4] + d[5] - (3*d[6])/2 + 2*d[7] - (5*d[8])/2 + 2*d[9] - 
       (5*d[10])/2 + 8*d[11] + 2*d[12] + 2*d[13] - d[15]/2 + 7*d[16] - 
       (7*d[17])/2 + (9*d[18])/2 - (3*d[19])/2 + 4*d[21] - (3*d[22])/2 + 
       (15*d[24])/2 + d[26]/2 + d[27]/2 + d[29]/2 + d[32] + d[35] - 6*d[36])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-d[3] - 2*d[4] - d[5]/2 - d[6]/2 - d[7]/2 - 4*d[8] + d[9] - 
       (3*d[10])/2 + (21*d[11])/2 + 10*d[12] + 2*d[13] - d[15]/2 + 7*d[16] - 
       (7*d[17])/2 + (9*d[18])/2 - (3*d[19])/2 + 4*d[21] - (3*d[22])/2 + 
       (15*d[24])/2 - d[26]/2 + d[27]/2 + d[29]/2 + d[32] + d[35] - 6*d[36])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((13*d[4])/3 + (521*d[6])/12 - 40*d[10] + 10*d[11] + (29*d[12])/6 - 
       (23*d[15])/3 - (131*d[17])/3 + (203*d[18])/6 + (43*d[19])/6 + 
       35*d[20] - (38*d[21])/3 + (101*d[22])/6 - (307*d[23])/6 - 125*d[24])*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-2*d[3] - (16*d[4])/3 + (8*d[5])/3 - 5*d[6] + (5*d[7])/3 + (5*d[8])/3 - 
       (13*d[9])/3 + (59*d[10])/3 + (7*d[11])/6 - 10*d[14] - (16*d[15])/3 - 
       (16*d[16])/3 + (39*d[17])/2 - (53*d[18])/2 + (13*d[19])/3 + 
       (101*d[20])/6 + (43*d[21])/3 + (10*d[22])/3 + (103*d[23])/6 + 
       (127*d[24])/12 + (16*d[27])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v] + (d[7]/2 + d[8]/2 - d[9]/2 + d[10] + 
       2*d[11] + d[12]/2 + (3*d[14])/2 + (3*d[15])/4 - (7*d[17])/4 + 
       (13*d[18])/4 - d[19]/2 - (13*d[20])/2 - d[21]/2 - d[22]/2 - 3*d[23] + 
       (9*d[24])/4)*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((2*d[4])/3 + 15*d[5] - (125*d[6])/6 + 5*d[7] - 20*d[8] + (58*d[9])/3 + 
       (8*d[10])/3 - (8*d[11])/3 - (65*d[12])/3 + 10*d[13] - 10*d[14] + 
       d[15]/3 + 55*d[16] + 21*d[17] - 7*d[18] - 11*d[19] - (89*d[20])/6 + 
       5*d[21] - 5*d[22] + (127*d[23])/2 + (645*d[24])/4 - 3*d[26] - 
       5*d[27] - 10*d[33] + 10*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + ((-4*d[3])/3 + 4*d[4] - 8*d[5] - 
       (5*d[6])/6 - (11*d[7])/3 + (25*d[8])/3 - 7*d[9] - (16*d[10])/3 - 
       (16*d[11])/3 + 9*d[12] - 16*d[13] + (34*d[14])/3 + 9*d[15] - 
       (86*d[16])/3 - 2*d[17] + 4*d[18] - (13*d[19])/3 - (55*d[20])/2 - 
       (31*d[21])/3 - 7*d[22] - (103*d[23])/6 - (71*d[24])/12 - (2*d[27])/3 - 
       (4*d[28])/3 - (2*d[29])/3 + (8*d[33])/3 - (8*d[34])/3 - (2*d[35])/3 + 
       4*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (2*d[2] - 15*d[5] - (9*d[6])/2 - 5*d[7] + 20*d[8] - 20*d[9] + 
       (113*d[10])/3 - (41*d[11])/6 + (41*d[12])/3 - 10*d[13] + 10*d[14] + 
       7*d[15] - (166*d[16])/3 - (2*d[17])/3 + (8*d[19])/3 - (50*d[20])/3 - 
       (13*d[21])/3 - (22*d[22])/3 - 11*d[23] - (142*d[24])/3 - d[25]/3 + 
       (7*d[26])/3 + 5*d[27] + d[32]/6 + 10*d[33] - 10*d[34])*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     (2*d[6] + 4*d[13] - d[14] + 3*d[15] + 4*d[16] + (3*d[17])/2 + 2*d[18] - 
       3*d[19] - d[20]/4 - 3*d[21] - 3*d[22] + (3*d[23])/2 + (17*d[24])/4 + 
       d[28]/2 + d[29]/2 + 2*d[30] + d[35])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v] + (d[3] - 2*d[4] - d[6] - 2*d[7] - 4*d[8] + 
       6*d[9] + d[10] + 5*d[11] - d[12] - 10*d[13] + 2*d[14] + 2*d[15] - 
       5*d[16] + 5*d[17] - 9*d[18] - 3*d[19] - 4*d[20] - d[21] - 2*d[22] - 
       2*d[23] + 28*d[24] + d[26] - d[28] - d[29]/2 + d[32] - d[33] + d[34] + 
       d[35] - 6*d[36])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((-8*d[3])/3 + 2*d[4] - (2*d[5])/3 - d[6]/3 - (4*d[7])/3 + d[8] - 
       (8*d[9])/3 + (8*d[10])/3 - (16*d[11])/3 + 2*d[12] - 10*d[13] - 
       (10*d[14])/3 + 2*d[15] - (35*d[16])/3 + 2*d[17] - d[18]/3 - 
       (2*d[19])/3 + (5*d[20])/6 - (8*d[21])/3 - (2*d[22])/3 - 3*d[23] - 
       (55*d[24])/6 + d[26]/3 + d[27] - d[28] - (2*d[29])/3 + (4*d[30])/3 - 
       (2*d[34])/3 - (4*d[35])/3 + 4*d[36])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + ((-4*d[4])/3 - (281*d[6])/12 + 40*d[10] - 
       10*d[11] - d[12]/3 + (17*d[15])/3 + (29*d[17])/3 + (43*d[18])/6 - 
       (37*d[19])/6 - 35*d[20] + (2*d[21])/3 - (59*d[22])/6 + (253*d[23])/6 + 
       105*d[24])*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     (2*d[3] + (10*d[4])/3 - (2*d[5])/3 + 38*d[6] - (4*d[7])/3 - (4*d[8])/3 + 
       (8*d[9])/3 - 57*d[10] + (20*d[11])/3 + (8*d[12])/3 + 10*d[14] - 
       (4*d[15])/3 + (5*d[16])/3 - (127*d[17])/3 + (119*d[18])/3 + 
       (2*d[19])/3 + 16*d[20] - 20*d[21] + 10*d[22] - (152*d[23])/3 - 
       (305*d[24])/3 - (4*d[27])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w] + (-d[3]/6 - 2*d[4] + d[5] + (5*d[6])/6 + 
       d[7] + d[8] - 2*d[9] + (20*d[10])/3 - (5*d[11])/3 - (4*d[12])/3 - 
       10*d[14] - (14*d[15])/3 - 2*d[16] + (28*d[17])/3 - 20*d[18] + 
       (13*d[19])/3 + (45*d[20])/2 + (22*d[21])/3 + (13*d[22])/3 + 
       (59*d[23])/6 - (173*d[24])/12 + 2*d[27] + d[32]/6)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - w] + (-d[4] - 15*d[5] - (55*d[6])/6 - 5*d[7] + 
       20*d[8] - 20*d[9] + (118*d[10])/3 - (17*d[11])/3 + (40*d[12])/3 - 
       10*d[13] + 10*d[14] + (19*d[15])/3 - (176*d[16])/3 + (19*d[17])/2 - 
       (13*d[18])/2 + (8*d[19])/3 - (67*d[20])/3 + (8*d[21])/3 - 
       (25*d[22])/3 - (11*d[23])/3 - (67*d[24])/3 + d[26]/6 + 5*d[27] + 
       10*d[33] - 10*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + ((-4*d[3])/3 + (4*d[4])/3 + (29*d[5])/3 + 
       (29*d[6])/6 - d[7]/3 - (40*d[8])/3 + 16*d[9] - (74*d[10])/3 + 
       (13*d[11])/3 - (49*d[12])/3 - 6*d[13] - (26*d[14])/3 - (8*d[15])/3 + 
       (74*d[16])/3 + 8*d[17] - 16*d[18] - (8*d[19])/3 + (35*d[20])/3 + 
       (4*d[21])/3 + (14*d[22])/3 + (11*d[23])/3 + 27*d[24] - 2*d[26] - 
       3*d[27] - (4*d[28])/3 - (2*d[29])/3 - (22*d[33])/3 + (22*d[34])/3 - 
       (2*d[35])/3 + 4*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + ((-5*d[2])/2 - d[6]/2 + 4*d[12] + 
       (3*d[14])/2 + (3*d[15])/4 - (7*d[17])/4 + (13*d[18])/4 - d[19]/2 - 
       (13*d[20])/2 - d[21]/2 - d[22]/2 - 3*d[23] + (9*d[24])/4 + d[25]/4)*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     (d[6] + 2*d[7] + (3*d[8])/2 - (3*d[9])/2 - 3*d[10] + d[12] + 4*d[13] - 
       d[14] + 3*d[15] + 4*d[16] + (3*d[17])/2 + 2*d[18] - 3*d[19] - 
       d[20]/4 - 3*d[21] - 3*d[22] + (3*d[23])/2 + (17*d[24])/4 + d[28]/2 + 
       d[29]/2 + 2*d[30] + d[35])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w] + (-2*d[3] + (8*d[4])/3 - (2*d[5])/3 + 
       (8*d[6])/3 - (4*d[7])/3 + 2*d[8] - (5*d[9])/3 + (4*d[10])/3 - 
       (11*d[11])/3 - (4*d[12])/3 - 10*d[13] - (10*d[14])/3 + 2*d[15] - 
       (35*d[16])/3 + 2*d[17] - d[18]/3 - (2*d[19])/3 + (5*d[20])/6 - 
       (8*d[21])/3 - (2*d[22])/3 - 3*d[23] - (55*d[24])/6 - d[27]/3 - d[28] - 
       (2*d[29])/3 + (4*d[30])/3 - (2*d[34])/3 - (4*d[35])/3 + 4*d[36])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-2*d[4] - 2*d[5] + d[6] - 3*d[7] - 5*d[8] + d[9] - 2*d[10] - d[11] + 
       4*d[12] - 10*d[13] + 2*d[14] + 2*d[15] - 5*d[16] + 5*d[17] - 9*d[18] - 
       3*d[19] - 4*d[20] - d[21] - 2*d[22] - 2*d[23] + 28*d[24] + d[27] - 
       d[28] - d[29]/2 + d[32] - d[33] + d[34] + d[35] - 6*d[36])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (4*d[4] + (13*d[6])/2 + 4*d[12] - 2*d[15] - 50*d[17] + 58*d[18] + 
       2*d[19] - 14*d[21] + 10*d[22] - 2*d[23] - 18*d[24])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1, 1}, 1 - u] + (-2*d[4] + 2*d[5] + (65*d[6])/2 + d[7]/2 + 
       d[8]/2 - (5*d[9])/2 - 31*d[10] + 11*d[11] + (7*d[12])/2 - 
       (19*d[15])/2 - 4*d[16] - 7*d[17] - 10*d[18] + (19*d[19])/2 + 
       (115*d[20])/4 + (15*d[21])/2 + (27*d[22])/2 - (119*d[23])/4 - 
       (691*d[24])/8 + 4*d[27])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + (-d[3] - 2*d[4] + d[5] + d[7] + d[8] - 
       2*d[9] + 7*d[10] + d[11] - 3*d[12] - 6*d[14] - 2*d[15] - 2*d[16] + 
       6*d[17] - 12*d[18] + 2*d[19] + (31*d[20])/2 + 5*d[21] + 2*d[22] + 
       (17*d[23])/2 - (37*d[24])/4 + 2*d[27])*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - u] + (-2*d[4] - (29*d[6])/4 + 26*d[10] - 
       4*d[11] - 15*d[12] - (3*d[15])/2 - 4*d[16] + 25*d[17] - 26*d[18] + 
       (3*d[19])/2 - (53*d[20])/4 + (31*d[21])/2 - (5*d[22])/2 + 
       (105*d[23])/4 + (413*d[24])/8 - 2*d[26])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     ((2*d[4])/3 + 8*d[5] - (11*d[6])/2 + 2*d[7] - 13*d[8] + 14*d[9] - 
       36*d[10] + 3*d[11] - 13*d[12] + 6*d[13] - 3*d[15] + 36*d[16] - 
       2*d[17] - 12*d[18] - (17*d[19])/3 + (15*d[20])/2 - 3*d[21] - 
       (7*d[22])/3 + (5*d[23])/2 + (87*d[24])/4 - d[26] - 5*d[27] - 6*d[33] + 
       6*d[34])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-9*d[5] - d[6] - 3*d[7] + 12*d[8] - 12*d[9] + 23*d[10] - 4*d[11] + 
       8*d[12] - 6*d[13] + 6*d[14] + 5*d[15] - 34*d[16] + d[19] - 8*d[20] - 
       2*d[21] - 5*d[22] - 4*d[23] - 29*d[24] + d[26] + 3*d[27] + 6*d[33] - 
       6*d[34])*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-2*d[4] - 6*d[6] - 6*d[12] - 6*d[15] - 6*d[17] + 4*d[19] + 6*d[21] + 
       2*d[22] + 6*d[23])*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-6*d[6] - 6*d[12] - 6*d[15] - 6*d[17] + 4*d[19] + 6*d[21] + 2*d[22] + 
       6*d[23])*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     ((15*d[3])/4 - (27*d[5])/2 - (87*d[6])/4 - (27*d[7])/4 + (63*d[8])/4 - 
       (63*d[9])/4 + (363*d[10])/8 - (39*d[11])/8 + (9*d[12])/4 - 
       (81*d[15])/8 - (189*d[16])/4 - (15*d[17])/2 + (3*d[18])/2 + 
       (153*d[19])/8 - (111*d[20])/4 + (45*d[21])/2 + (81*d[22])/8 + 
       (51*d[23])/2 + (81*d[24])/8 - (9*d[26])/8 + (9*d[27])/2 + 9*d[33] - 
       9*d[34])*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     (4*d[4] + (37*d[6])/2 - 12*d[10] + 4*d[12] + 6*d[14] + d[15] - 
       29*d[17] + 34*d[18] - d[19] - 6*d[20] - 11*d[21] + 4*d[22] - 8*d[23] - 
       18*d[24])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-4*d[4] + 2*d[5] + (3*d[6])/2 + d[7]/2 + d[8]/2 - (5*d[9])/2 - 
       7*d[10] + 8*d[11] + (3*d[12])/2 - (5*d[15])/2 - 4*d[16] + 9*d[17] - 
       18*d[18] + (5*d[19])/2 + (19*d[20])/4 + (17*d[21])/2 + (5*d[22])/2 + 
       (5*d[23])/4 - (91*d[24])/8 + 4*d[27])*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - v] + (3*d[2] + (23*d[3])/3 - (53*d[4])/3 - 
       13*d[5] + (29*d[6])/3 - (15*d[7])/2 + (25*d[8])/2 - (67*d[9])/6 - 
       (7*d[10])/2 + 31*d[11] + (41*d[12])/2 - 7*d[13] + 3*d[14] - 
       (170*d[15])/3 - 70*d[16] - (79*d[17])/3 + (7*d[18])/3 + 
       (191*d[19])/3 + (51*d[20])/2 + (208*d[21])/3 + (161*d[22])/3 - 
       (67*d[23])/2 - (305*d[24])/2 + (4*d[26])/3 + 16*d[27] - (11*d[31])/3 - 
       (5*d[32])/3 + 16*d[33] - (37*d[34])/3 - 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((5*d[6])/4 - 4*d[7] - 4*d[8] + 4*d[9] + (13*d[10])/2 - (3*d[11])/2 - 
       6*d[12] - 6*d[14] - 4*d[15] - d[16] + 15*d[17] - 30*d[18] + 4*d[19] + 
       (129*d[20])/4 + (11*d[21])/2 + 4*d[22] + (31*d[23])/4 - 
       (101*d[24])/8 - d[26]/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + ((7*d[3])/3 - (4*d[4])/3 + 13*d[5] - 
       (17*d[6])/12 + 17*d[7] - (61*d[8])/2 + (92*d[9])/3 - (515*d[10])/12 + 
       10*d[11] + 3*d[12] + (15*d[13])/2 - (9*d[14])/2 - d[15]/3 + 
       (421*d[16])/6 - (5*d[17])/12 + (5*d[18])/12 - (163*d[19])/12 + 
       (53*d[20])/4 - (28*d[21])/3 - (37*d[22])/12 + 32*d[23] + 
       (1321*d[24])/12 - (11*d[26])/6 - (19*d[27])/2 + d[28]/2 + 2*d[30] - 
       (7*d[31])/3 - (13*d[32])/12 - 9*d[33] + (34*d[34])/3 - 6*d[36])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((3*d[2])/2 - 12*d[3] + 6*d[4] + (39*d[5])/4 - 3*d[6] - 21*d[7] - 
       (27*d[8])/4 + (57*d[9])/4 + (27*d[10])/2 + (21*d[11])/2 - 15*d[12] + 
       (15*d[13])/2 + 3*d[15] - (135*d[16])/4 + (33*d[17])/2 - 39*d[18] + 
       6*d[19] + 6*d[21] + (15*d[22])/2 - 9*d[23] - (195*d[24])/4 - 3*d[26] + 
       (27*d[27])/4 + 6*d[31] + 3*d[32] - (9*d[33])/2 - (3*d[34])/2 + 
       18*d[36])*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((9*d[2])/2 + 12*d[3] - (21*d[4])/2 - (63*d[5])/4 - (9*d[6])/2 - 
       (29*d[7])/4 - (23*d[8])/4 + (7*d[9])/2 - (45*d[10])/4 - (25*d[11])/4 - 
       (7*d[13])/2 - (5*d[14])/2 - (27*d[15])/4 - (33*d[16])/4 - 
       (37*d[17])/2 + 36*d[18] + (3*d[19])/4 + 36*d[20] + 15*d[21] - 
       (39*d[22])/4 + (21*d[23])/2 + (85*d[24])/4 - 6*d[31] - 3*d[32] + 
       (21*d[33])/2 - (9*d[34])/2 - 18*d[36])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v] + ((13*d[4])/3 - (3*d[5])/2 - d[6] - 3*d[7] - 
       3*d[8] + (9*d[9])/2 + (7*d[10])/2 + (43*d[11])/6 + 8*d[12] + d[14] + 
       2*d[15] + 3*d[16] + d[17]/2 - (21*d[18])/2 - (5*d[19])/2 + 11*d[20] - 
       7*d[21] - (5*d[22])/2 + (13*d[23])/2 + 13*d[24] - 3*d[27])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((7*d[4])/4 - (99*d[5])/8 + (109*d[6])/8 - (45*d[7])/8 + (135*d[8])/8 - 
       18*d[9] + (87*d[10])/8 + (39*d[11])/8 - (19*d[12])/2 - (145*d[15])/8 - 
       (189*d[16])/4 - (79*d[17])/2 + (35*d[18])/2 + (217*d[19])/8 + 
       (57*d[20])/4 + (29*d[21])/2 + (209*d[22])/8 - (61*d[23])/2 - 
       (1023*d[24])/8 + (27*d[27])/4 + 9*d[33] - 9*d[34])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1, 1}, 1 - w] + (-4*d[2] + (34*d[3])/3 - (13*d[4])/2 - 
       (55*d[5])/3 - 31*d[6] + (80*d[7])/3 + (57*d[8])/2 - (109*d[9])/3 + 
       (319*d[10])/6 + (8*d[11])/3 - 21*d[12] - d[13] - 9*d[14] - 
       (167*d[15])/3 - 38*d[16] + (35*d[17])/3 - (77*d[18])/3 + 
       (170*d[19])/3 + 7*d[20] + (253*d[21])/3 + (134*d[22])/3 + 35*d[23] + 
       (21*d[24])/4 - 5*d[26] + (7*d[27])/6 - (11*d[31])/3 - (5*d[32])/3 + 
       10*d[33] - (19*d[34])/3 - 12*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w] + (2*d[2] + (29*d[3])/6 - (5*d[4])/2 + 
       (35*d[5])/12 - (45*d[6])/4 + (223*d[7])/12 - (173*d[8])/12 + 
       (19*d[9])/3 - (125*d[10])/6 + (193*d[11])/12 - (3*d[12])/2 + 
       (3*d[13])/2 + (15*d[14])/2 + (20*d[15])/3 + (229*d[16])/6 - 
       (77*d[17])/12 + (149*d[18])/12 - (175*d[19])/12 - (41*d[20])/4 - 
       (49*d[21])/3 - (121*d[22])/12 + (39*d[23])/2 + (271*d[24])/3 + d[26] - 
       (8*d[27])/3 + d[28]/2 + 2*d[30] - (7*d[31])/3 - (13*d[32])/12 - 
       3*d[33] + (16*d[34])/3 - 6*d[36])*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - w] + (4*d[2] + d[4] + 9*d[5] + 19*d[6] + 3*d[7] - 
       12*d[8] + 12*d[9] - 22*d[10] + 5*d[11] - 18*d[12] + 6*d[13] - 
       6*d[14] - 6*d[15] + 32*d[16] - 23*d[17] + 22*d[18] + (35*d[20])/2 - 
       4*d[21] + 11*d[22] + (9*d[23])/2 + (7*d[24])/4 - 2*d[26] - 3*d[27] - 
       6*d[33] + 6*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w] + ((-8*d[2])/3 - d[4] - (17*d[5])/2 - d[6]/2 - 
       4*d[7] + 11*d[8] - (23*d[9])/2 + (27*d[10])/2 - (9*d[11])/2 + 
       (19*d[12])/2 - 6*d[13] + 6*d[14] + 3*d[15] - 33*d[16] + 9*d[17] - 
       18*d[18] + 3*d[19] + (35*d[20])/4 - (3*d[21])/2 - 3*d[22] - 
       (19*d[23])/4 - (259*d[24])/8 + 2*d[26] + 4*d[27] + 6*d[33] - 6*d[34])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (-d[1] - d[2]/4 + (11*d[6])/4 + 2*d[10] + 2*d[11] - 7*d[12] - 
       (5*d[15])/2 - 4*d[16] + 9*d[17] - 18*d[18] + (5*d[19])/2 + 
       (19*d[20])/4 + (17*d[21])/2 + (5*d[22])/2 + (5*d[23])/4 - 
       (91*d[24])/8 - 2*d[26])*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w] + 
     (-4*d[2] - (23*d[3])/2 + 6*d[4] + (45*d[5])/4 + 12*d[6] - (15*d[7])/2 + 
       (39*d[8])/4 + (9*d[9])/4 + (27*d[10])/4 - 12*d[11] - (39*d[12])/2 + 
       (15*d[13])/2 + 3*d[15] - (135*d[16])/4 + (33*d[17])/2 - 39*d[18] + 
       6*d[19] + 6*d[21] + (15*d[22])/2 - 9*d[23] - (195*d[24])/4 - 
       (3*d[25])/4 - (3*d[26])/2 + (9*d[27])/4 + 6*d[31] + 3*d[32] - 
       (9*d[33])/2 - (3*d[34])/2 + 18*d[36])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w] + ((-2*d[2])/3 - (11*d[6])/2 - (3*d[10])/2 - 
       (3*d[11])/2 + (9*d[12])/2 + d[14] + 2*d[15] + 3*d[16] + d[17]/2 - 
       (21*d[18])/2 - (5*d[19])/2 + 11*d[20] - 7*d[21] - (5*d[22])/2 + 
       (13*d[23])/2 + 13*d[24] + d[25]/2 + (3*d[26])/2)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w] + (-3*d[2] + 12*d[3] - 12*d[4] - 20*d[5] - 
       (7*d[6])/4 + 6*d[7] + (27*d[8])/4 - 18*d[9] + (23*d[10])/4 + 
       (15*d[11])/2 + (3*d[12])/2 - (7*d[13])/2 - (5*d[14])/2 - 
       (27*d[15])/4 - (33*d[16])/4 - (37*d[17])/2 + 36*d[18] + (3*d[19])/4 + 
       36*d[20] + 15*d[21] - (39*d[22])/4 + (21*d[23])/2 + (85*d[24])/4 - 
       (3*d[25])/4 + (3*d[26])/4 + (9*d[27])/4 - 6*d[31] - 3*d[32] + 
       (21*d[33])/2 - (9*d[34])/2 - 18*d[36])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w] + ((-8*d[4])/3 - (37*d[6])/3 - (2*d[12])/3 - 
       (2*d[15])/3 + (58*d[17])/3 - (68*d[18])/3 + (2*d[19])/3 + 
       (22*d[21])/3 - (8*d[22])/3 + (16*d[23])/3 + 12*d[24])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1}, 1 - u] + ((8*d[4])/3 - (4*d[5])/3 - d[6] - 
       d[7]/3 - d[8]/3 + (5*d[9])/3 + (14*d[10])/3 - (10*d[11])/3 - d[12] + 
       (5*d[15])/3 + (32*d[16])/3 - 6*d[17] + 12*d[18] - (5*d[19])/3 - 
       (31*d[20])/6 - (17*d[21])/3 - (5*d[22])/3 - (5*d[23])/6 + 
       (187*d[24])/12 - (8*d[27])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1}, 1 - u] + (-8*d[5] - (11*d[6])/6 - (4*d[10])/3 - 
       (4*d[11])/3 + (14*d[12])/3 + (5*d[15])/3 + (32*d[16])/3 - 6*d[17] + 
       12*d[18] - (5*d[19])/3 - (31*d[20])/6 - (17*d[21])/3 - (5*d[22])/3 - 
       (5*d[23])/6 + (187*d[24])/12 + (4*d[26])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - u] + ((-8*d[4])/3 - (37*d[6])/3 - 
       (2*d[12])/3 - (2*d[15])/3 + (58*d[17])/3 - (68*d[18])/3 + 
       (2*d[19])/3 + (22*d[21])/3 - (8*d[22])/3 + (16*d[23])/3 + 12*d[24])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     ((8*d[4])/3 - (4*d[5])/3 - d[6] - d[7]/3 - d[8]/3 + (5*d[9])/3 + 
       (14*d[10])/3 - (10*d[11])/3 - d[12] + (5*d[15])/3 + (8*d[16])/3 - 
       6*d[17] + 12*d[18] - (5*d[19])/3 - (31*d[20])/6 - (17*d[21])/3 + 
       (7*d[22])/3 - (5*d[23])/6 + (91*d[24])/12 - (8*d[27])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     ((16*d[1])/3 - (11*d[6])/6 - (4*d[10])/3 - (4*d[11])/3 + (14*d[12])/3 + 
       (5*d[15])/3 + (8*d[16])/3 - 6*d[17] + 12*d[18] - (5*d[19])/3 - 
       (31*d[20])/6 - (17*d[21])/3 - (5*d[22])/3 - (5*d[23])/6 + 
       (91*d[24])/12 + (4*d[26])/3)*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 
       1 - v] + ((-8*d[4])/3 - (37*d[6])/3 - (2*d[12])/3 - (2*d[15])/3 + 
       (58*d[17])/3 - (68*d[18])/3 + (2*d[19])/3 + (22*d[21])/3 - 
       (8*d[22])/3 + (16*d[23])/3 + 12*d[24])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1}, 1 - w] + (4*d[3] + (8*d[4])/3 - (4*d[5])/3 - 
       d[6] - d[7]/3 - d[8]/3 + (5*d[9])/3 + 2*d[10] - (10*d[11])/3 - d[12] + 
       (5*d[15])/3 + (8*d[16])/3 - 6*d[17] + 12*d[18] - (5*d[19])/3 - 
       (31*d[20])/6 - (17*d[21])/3 - (5*d[22])/3 - (5*d[23])/6 + 
       (91*d[24])/12 - (8*d[27])/3)*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 
       1 - w] + (4*d[4] - (11*d[6])/6 - (4*d[10])/3 - (4*d[11])/3 + 
       (14*d[12])/3 + (5*d[15])/3 + (8*d[16])/3 - 6*d[17] + 12*d[18] - 
       (5*d[19])/3 - (31*d[20])/6 - (17*d[21])/3 + (7*d[22])/3 - 
       (5*d[23])/6 + (91*d[24])/12 + (4*d[26])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - w] + ((40*d[4])/3 + (185*d[6])/3 + 
       (10*d[12])/3 + (10*d[15])/3 - (290*d[17])/3 + (340*d[18])/3 - 
       (10*d[19])/3 - (110*d[21])/3 + (40*d[22])/3 - (80*d[23])/3 - 60*d[24])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u] + 
     (6*d[3] - (58*d[4])/3 + (29*d[5])/3 + d[6] + (2*d[7])/3 + (20*d[8])/3 - 
       (103*d[9])/3 - (49*d[10])/3 + (5*d[11])/3 - d[12] + 6*d[13] + 
       (11*d[15])/3 - (22*d[16])/3 + 14*d[17] - 20*d[18] - (11*d[19])/3 + 
       (155*d[20])/6 + (49*d[21])/3 - (11*d[22])/3 + (61*d[23])/6 - 
       (479*d[24])/12 + (40*d[27])/3 + 3*d[29] + 3*d[35] - 18*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u] + 
     (2*d[2] + 6*d[3] - 6*d[4] + (31*d[6])/6 + (29*d[10])/3 + (20*d[11])/3 - 
       (88*d[12])/3 + 6*d[13] + (11*d[15])/3 - (22*d[16])/3 + 14*d[17] - 
       20*d[18] - (11*d[19])/3 + (155*d[20])/6 + (49*d[21])/3 - 
       (11*d[22])/3 + (61*d[23])/6 - (479*d[24])/12 - (20*d[26])/3 + 
       3*d[29] + 3*d[35] - 18*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - u] + ((82*d[4])/3 + (188*d[6])/3 - 4*d[9] + 
       2*d[10] + (136*d[12])/3 + 8*d[14] - (8*d[15])/3 - 6*d[16] - 
       (353*d[17])/3 + (541*d[18])/3 + (8*d[19])/3 - (11*d[20])/2 - 
       (110*d[21])/3 + (100*d[22])/3 - (5*d[23])/3 - (71*d[24])/2 - 13*d[26])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     (-2*d[3] - (40*d[4])/3 + (20*d[5])/3 + d[6] - (13*d[7])/3 + 
       (29*d[8])/3 - (49*d[9])/3 - (106*d[10])/3 - (10*d[11])/3 + 11*d[12] - 
       6*d[14] - (37*d[15])/3 - (49*d[16])/3 + 14*d[17] - 20*d[18] + 
       (46*d[19])/3 + (191*d[20])/6 + (97*d[21])/3 + (46*d[22])/3 + 
       (25*d[23])/6 - (839*d[24])/12 + (40*d[27])/3 - 3*d[32] + 6*d[34] - 
       3*d[35] + 18*d[36])*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     ((8*d[2])/3 + (4*d[4])/3 + (9*d[6])/2 + 4*d[10] + 4*d[11] - 22*d[12] - 
       (32*d[14])/3 - 9*d[15] - (32*d[16])/3 + (50*d[17])/3 - (76*d[18])/3 + 
       (37*d[19])/3 + (185*d[20])/6 + (17*d[21])/3 + 19*d[22] + 
       (37*d[23])/6 - (233*d[24])/4 - 4*d[25] - (14*d[26])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - v] + ((16*d[4])/3 + 6*d[5] + (197*d[6])/3 + 
       2*d[8] + 4*d[9] - 24*d[10] + d[11] - (128*d[12])/3 + 8*d[14] - 
       (8*d[15])/3 - 6*d[16] - (353*d[17])/3 + (541*d[18])/3 + (8*d[19])/3 - 
       (11*d[20])/2 - (110*d[21])/3 + (100*d[22])/3 - (5*d[23])/3 - 
       (71*d[24])/2 + 4*d[27])*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w] + 
     ((-32*d[3])/3 - (8*d[4])/3 + (28*d[5])/3 + (31*d[6])/3 + (73*d[7])/3 + 
       (85*d[8])/3 - 27*d[9] - 74*d[10] + (28*d[11])/3 + (43*d[12])/3 - 
       (32*d[14])/3 - 9*d[15] - (32*d[16])/3 + (50*d[17])/3 - (76*d[18])/3 + 
       (37*d[19])/3 + (185*d[20])/6 + (17*d[21])/3 + 19*d[22] + 
       (37*d[23])/6 - (233*d[24])/4 + 8*d[27])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - w] + ((127*d[6])/6 + (20*d[10])/3 + 
       (20*d[11])/3 - (58*d[12])/3 - 6*d[14] - (37*d[15])/3 - (49*d[16])/3 + 
       14*d[17] - 20*d[18] + (46*d[19])/3 + (191*d[20])/6 + (97*d[21])/3 + 
       (46*d[22])/3 + (25*d[23])/6 - (839*d[24])/12 - (20*d[26])/3 - 
       3*d[32] + 6*d[34] - 3*d[35] + 18*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - w] + (d[3] + 7*d[4] + 32*d[6] + 2*d[12] + 
       d[15] - 53*d[17] + 62*d[18] - d[19] - 19*d[21] + 8*d[22] - 14*d[23] - 
       32*d[24])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     (2*d[3] - 9*d[4] + (9*d[5])/2 + (3*d[6])/2 + d[7]/2 + (5*d[8])/2 - 
       13*d[9] - (19*d[10])/2 + (3*d[11])/2 - d[12]/2 + 2*d[13] + d[15] - 
       6*d[16] + 10*d[17] - 15*d[18] - d[19] + (31*d[20])/2 + 11*d[21] - 
       d[22] + (11*d[23])/2 - (41*d[24])/2 - d[26]/2 + 7*d[27] + d[29] + 
       d[35] - 6*d[36])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     ((5*d[2])/2 + 2*d[3] - 3*d[4] + d[5]/2 + (7*d[6])/2 - d[7]/2 - d[8]/2 + 
       4*d[10] + 5*d[11] - 16*d[12] + 2*d[13] + d[15] - 6*d[16] + 10*d[17] - 
       15*d[18] - d[19] + (31*d[20])/2 + 11*d[21] - d[22] + (11*d[23])/2 - 
       (41*d[24])/2 - (7*d[26])/2 + d[27] + d[29] + d[35] - 6*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     ((27*d[4])/2 + (147*d[6])/4 - 2*d[9] + d[10] + 22*d[12] + 4*d[14] - 
       (3*d[15])/2 - 3*d[16] - (237*d[17])/4 + (351*d[18])/4 + 2*d[19] - 
       (3*d[20])/4 - 18*d[21] + (35*d[22])/2 - (13*d[23])/2 - (121*d[24])/4 - 
       (25*d[26])/4)*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v] + 
     ((-3*d[3])/2 - 7*d[4] + 5*d[5] + d[6] - 2*d[7] + d[8] - 5*d[9] - 
       (43*d[10])/2 + 3*d[11] + (9*d[12])/2 + d[13]/2 - (5*d[14])/2 - 
       6*d[15] - (5*d[16])/2 + 10*d[17] - 15*d[18] + 6*d[19] + 17*d[20] + 
       (31*d[21])/2 + 7*d[22] + 3*d[23] - (53*d[24])/2 + (13*d[27])/2 - 
       d[32] - d[33] + 3*d[34] - d[35] + 6*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - v] + ((4*d[2])/3 + d[4]/3 + (19*d[6])/6 + 
       (13*d[10])/6 + (13*d[11])/6 - (23*d[12])/2 - (13*d[14])/3 - 
       (11*d[15])/3 - (17*d[16])/3 + (32*d[17])/3 - (50*d[18])/3 + 
       (37*d[19])/6 + 17*d[20] + (11*d[21])/3 + (55*d[22])/6 + (19*d[23])/6 - 
       (89*d[24])/3 - (3*d[25])/2 - (8*d[26])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - v] + (3*d[4] + 3*d[5] + 38*d[6] + d[8] + 
       2*d[9] - (31*d[10])/2 + (9*d[11])/4 - (43*d[12])/2 + 4*d[14] - 
       (3*d[15])/2 - 3*d[16] - (237*d[17])/4 + (351*d[18])/4 + 2*d[19] - 
       (3*d[20])/4 - 18*d[21] + (35*d[22])/2 - (13*d[23])/2 - (121*d[24])/4 + 
       2*d[27])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w] + 
     ((-16*d[3])/3 - (5*d[4])/3 + (9*d[5])/2 + (31*d[6])/6 + 12*d[7] + 
       (41*d[8])/3 - (83*d[9])/6 - (185*d[10])/6 + (19*d[11])/3 + 8*d[12] - 
       (13*d[14])/3 - (11*d[15])/3 - (17*d[16])/3 + (32*d[17])/3 - 
       (50*d[18])/3 + (37*d[19])/6 + 17*d[20] + (11*d[21])/3 + (55*d[22])/6 + 
       (19*d[23])/6 - (89*d[24])/3 + (14*d[27])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - w] + ((3*d[5])/2 + 11*d[6] + d[7]/2 - 2*d[8] + 
       2*d[9] - d[10]/2 + 4*d[11] - (19*d[12])/2 + d[13]/2 - (5*d[14])/2 - 
       6*d[15] - (5*d[16])/2 + 10*d[17] - 15*d[18] + 6*d[19] + 17*d[20] + 
       (31*d[21])/2 + 7*d[22] + 3*d[23] - (53*d[24])/2 - (7*d[26])/2 - 
       d[27]/2 - d[32] - d[33] + 3*d[34] - d[35] + 6*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - w] + (8*d[4] + 79*d[6] + 2*d[12] + 2*d[15] - 
       58*d[17] + 68*d[18] - 2*d[19] - 22*d[21] + 8*d[22] - 40*d[23] - 
       60*d[24])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     (-8*d[4] + 4*d[5] - 9*d[6] - 11*d[7] - 11*d[8] + 7*d[9] - 14*d[10] - 
       11*d[11] + 13*d[15] - 8*d[16] + 12*d[17] - 21*d[18] - 11*d[19] + 
       (73*d[20])/2 - 19*d[21] - 11*d[22] - (19*d[23])/2 - (109*d[24])/4 + 
       8*d[27])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     ((17*d[6])/2 + 4*d[10] + 4*d[11] + 25*d[12] + 13*d[15] - 8*d[16] + 
       12*d[17] - 21*d[18] - 11*d[19] + (73*d[20])/2 - 19*d[21] - 11*d[22] - 
       (19*d[23])/2 - (109*d[24])/4 - 4*d[26])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - u] + (12*d[2] + 36*d[3] - d[4] - (93*d[5])/2 + 
       (215*d[6])/2 + 9*d[7] + (45*d[8])/2 - (45*d[9])/2 - 39*d[10] - 
       (63*d[11])/2 - (17*d[12])/2 + 12*d[14] + (85*d[15])/2 - (63*d[16])/2 - 
       142*d[17] + 188*d[18] - 47*d[19] + (309*d[20])/4 - 76*d[21] - 
       49*d[22] - (149*d[23])/2 - (855*d[24])/4 - (3*d[26])/2 - 
       (21*d[27])/2 - 12*d[31] - 6*d[32] + 27*d[33] - 15*d[34] - 36*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     (-8*d[4] + 4*d[5] - 9*d[6] - 11*d[7] - 11*d[8] + 7*d[9] - 44*d[10] + 
       4*d[11] - 9*d[12] - 12*d[14] - 23*d[15] - 8*d[16] + 3*d[17] - 
       12*d[18] + 23*d[19] + (157*d[20])/2 + 35*d[21] + 23*d[22] + 
       (59*d[23])/2 - (109*d[24])/4 + 8*d[27])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - v] + (-d[1] + 15*d[3] - 30*d[4] + 37*d[5] + 
       16*d[6] - (21*d[7])/2 - (115*d[8])/2 + (117*d[9])/2 - 55*d[10] + 
       (139*d[11])/2 - 66*d[12] + 45*d[13] - 10*d[14] - (97*d[15])/2 + 
       (241*d[16])/2 - (13*d[17])/2 - (23*d[18])/2 + 23*d[19] + 104*d[20] + 
       100*d[21] + 44*d[22] + 51*d[23] + (239*d[24])/4 - (25*d[26])/2 + 
       9*d[27] + 4*d[28] + 4*d[29] - 7*d[31] - (7*d[32])/2 - 16*d[33] + 
       23*d[34] + 3*d[35] - 30*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - v] + (9*d[2] + 24*d[3] - 4*d[4] - 
       (87*d[5])/2 + 97*d[6] + (39*d[8])/2 - 42*d[9] + 9*d[10] + 6*d[11] + 
       38*d[12] + 12*d[14] + (85*d[15])/2 - (63*d[16])/2 - 142*d[17] + 
       188*d[18] - 47*d[19] + (309*d[20])/4 - 76*d[21] - 49*d[22] - 
       (149*d[23])/2 - (855*d[24])/4 + 9*d[26] + 9*d[27] - 12*d[31] - 
       6*d[32] + 27*d[33] - 15*d[34] - 36*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - w] + ((82*d[3])/3 - 50*d[4] + 20*d[5] + 
       12*d[6] + (47*d[7])/6 - (91*d[8])/2 + (3*d[9])/2 - (121*d[10])/2 + 
       50*d[11] - 34*d[12] + 45*d[13] - 10*d[14] - (97*d[15])/2 + 
       (241*d[16])/2 - (13*d[17])/2 - (23*d[18])/2 + 23*d[19] + 104*d[20] + 
       100*d[21] + 44*d[22] + 51*d[23] + (239*d[24])/4 - 9*d[26] + 16*d[27] + 
       4*d[28] + 4*d[29] - 7*d[31] - (7*d[32])/2 - 16*d[33] + 23*d[34] + 
       3*d[35] - 30*d[36])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w] + 
     (12*d[2] + (23*d[6])/2 + 4*d[10] + 4*d[11] - 50*d[12] - 12*d[14] - 
       23*d[15] - 8*d[16] + 3*d[17] - 12*d[18] + 23*d[19] + (157*d[20])/2 + 
       35*d[21] + 23*d[22] + (59*d[23])/2 - (109*d[24])/4 - 3*d[25] - 
       4*d[26])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w] + 
     ((4*d[4])/3 + (121*d[6])/6 + d[12]/3 + d[15]/3 - (29*d[17])/3 + 
       (34*d[18])/3 - d[19]/3 - (11*d[21])/3 + (4*d[22])/3 - (32*d[23])/3 - 
       14*d[24])*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     ((-4*d[4])/3 + (2*d[5])/3 - (3*d[6])/2 - (11*d[7])/6 - (11*d[8])/6 + 
       (7*d[9])/6 - (13*d[10])/3 - (22*d[11])/3 - d[12] + (20*d[15])/3 - 
       (4*d[16])/3 + 3*d[17] - d[18] - (14*d[19])/3 + (115*d[20])/12 - 
       (32*d[21])/3 - (14*d[22])/3 - (37*d[23])/12 - (175*d[24])/24 + 
       (4*d[27])/3)*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     ((47*d[6])/12 + (2*d[10])/3 + (2*d[11])/3 + (61*d[12])/6 + 
       (20*d[15])/3 - (4*d[16])/3 + 3*d[17] - d[18] - (14*d[19])/3 + 
       (115*d[20])/12 - (32*d[21])/3 - (14*d[22])/3 - (37*d[23])/12 - 
       (175*d[24])/24 - (2*d[26])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - u] + (4*d[2] + 12*d[3] - (5*d[4])/3 - 
       (31*d[5])/2 + (95*d[6])/3 + 3*d[7] + (15*d[8])/2 - (15*d[9])/2 - 
       13*d[10] - (21*d[11])/2 - (2*d[12])/3 + 4*d[14] + (95*d[15])/6 - 
       (21*d[16])/2 - (107*d[17])/3 + (154*d[18])/3 - (52*d[19])/3 + 
       (103*d[20])/4 - (71*d[21])/3 - (59*d[22])/3 - (145*d[23])/6 - 
       (261*d[24])/4 - d[26]/2 - (7*d[27])/2 - 4*d[31] - 2*d[32] + 9*d[33] - 
       5*d[34] - 12*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v] + 
     ((-4*d[4])/3 + (2*d[5])/3 - (3*d[6])/2 - (11*d[7])/6 - (11*d[8])/6 + 
       (7*d[9])/6 - (83*d[10])/6 - (11*d[11])/6 - 3*d[12] - 4*d[14] - 
       (29*d[15])/6 - (4*d[16])/3 + 2*d[18] + (29*d[19])/6 + (283*d[20])/12 + 
       (41*d[21])/6 + (29*d[22])/6 + (113*d[23])/12 - (175*d[24])/24 + 
       (4*d[27])/3)*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v] + 
     (-d[1]/3 + 5*d[3] - 10*d[4] + (37*d[5])/3 + (23*d[6])/4 - (7*d[7])/2 - 
       (115*d[8])/6 + (39*d[9])/2 - 19*d[10] + (45*d[11])/2 - (62*d[12])/3 + 
       15*d[13] - (10*d[14])/3 - 14*d[15] + (83*d[16])/2 - (23*d[17])/6 + 
       (13*d[18])/6 + (11*d[19])/2 + (385*d[20])/12 + (175*d[21])/6 + 
       (25*d[22])/2 + (215*d[23])/12 + (521*d[24])/24 - (7*d[26])/2 + 
       3*d[27] + (4*d[28])/3 + (4*d[29])/3 - (7*d[31])/3 - (7*d[32])/6 - 
       (16*d[33])/3 + (23*d[34])/3 + d[35] - 10*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + (3*d[2] + 8*d[3] - (8*d[4])/3 - 
       (29*d[5])/2 + (83*d[6])/3 + (13*d[8])/2 - 14*d[9] + 3*d[10] + 
       2*d[11] + (43*d[12])/3 + 4*d[14] + (95*d[15])/6 - (21*d[16])/2 - 
       (107*d[17])/3 + (154*d[18])/3 - (52*d[19])/3 + (103*d[20])/4 - 
       (71*d[21])/3 - (59*d[22])/3 - (145*d[23])/6 - (261*d[24])/4 + 
       3*d[26] + 3*d[27] - 4*d[31] - 2*d[32] + 9*d[33] - 5*d[34] - 12*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w] + 
     ((26*d[3])/3 - (46*d[4])/3 + 6*d[5] + (9*d[6])/2 + (8*d[7])/3 - 
       (40*d[8])/3 - (2*d[9])/3 - (41*d[10])/2 + (37*d[11])/3 - 
       (79*d[12])/6 + 15*d[13] - (10*d[14])/3 - 14*d[15] + (83*d[16])/2 - 
       (23*d[17])/6 + (13*d[18])/6 + (11*d[19])/2 + (385*d[20])/12 + 
       (175*d[21])/6 + (25*d[22])/2 + (215*d[23])/12 + (521*d[24])/24 - 
       3*d[26] + 4*d[27] + (4*d[28])/3 + (4*d[29])/3 - (7*d[31])/3 - 
       (7*d[32])/6 - (16*d[33])/3 + (23*d[34])/3 + d[35] - 10*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w] + 
     (4*d[2] + (53*d[6])/12 + (2*d[10])/3 + (2*d[11])/3 - (43*d[12])/3 - 
       4*d[14] - (29*d[15])/6 - (4*d[16])/3 + 2*d[18] + (29*d[19])/6 + 
       (283*d[20])/12 + (41*d[21])/6 + (29*d[22])/6 + (113*d[23])/12 - 
       (175*d[24])/24 - d[25] - (2*d[26])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - w] + (d[6] - 12*d[7] - 24*d[8] + 24*d[9] + 
       32*d[10] - 24*d[11] - 34*d[12] + 16*d[13] - 12*d[14] - 8*d[15] + 
       4*d[17] - 20*d[18] + 8*d[19] + 102*d[20] + 8*d[21] + 8*d[22] + 
       48*d[23])*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v] + 
     (d[6]/3 - (76*d[7])/3 - 28*d[8] + 28*d[9] + 30*d[10] - (109*d[11])/3 - 
       (115*d[12])/3 - 4*d[14] - (4*d[15])/3 + (4*d[17])/3 - (20*d[18])/3 + 
       (4*d[19])/3 + (134*d[20])/3 + (4*d[21])/3 + (4*d[22])/3 + 
       (45*d[23])/2 - (31*d[24])/3)*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 
       1 - v] + ((10*d[2])/3 + 16*d[5] - 3*d[6] + 6*d[7] - 10*d[8] + 
       10*d[9] - 4*d[11] - 44*d[12] + 16*d[13] - 12*d[14] - 8*d[15] + 
       4*d[17] - 20*d[18] + 8*d[19] + 102*d[20] + 8*d[21] + 8*d[22] + 
       48*d[23])*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w] + 
     ((16*d[2])/3 - d[3] - d[6] + (2*d[7])/3 - d[8] + d[9] + d[10] + 
       (2*d[11])/3 - 34*d[12] - 4*d[14] - (4*d[15])/3 + (4*d[17])/3 - 
       (20*d[18])/3 + (4*d[19])/3 + (134*d[20])/3 + (4*d[21])/3 + 
       (4*d[22])/3 + (45*d[23])/2 - (31*d[24])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - w] + (4*d[1] + 4*d[2])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - w] + 4*d[1]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v] + 
     4*d[3]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w] + 
     (-2*d[4] - 4*d[6] + 12*d[12] - 6*d[14] - 4*d[15] - 16*d[17] + 40*d[18] + 
       6*d[19] + 6*d[20] - 8*d[21] + 4*d[22] + 2*d[23] - 12*d[24] - 3*d[25])*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - v] + (12*d[6] + 12*d[7] + 12*d[8] - 
       12*d[9] - 32*d[10] + 8*d[11] + 16*d[12] - 6*d[14] - 4*d[15] - 
       16*d[17] + 40*d[18] + 6*d[19] + 6*d[20] - 8*d[21] + 4*d[22] + 
       2*d[23] - 12*d[24])*HPL[{0, 0, 0, 0, 1, 1}, 1 - w] + 
     ((-3*d[4])/2 - (3*d[6])/2 + 5*d[12] - (3*d[14])/2 - (3*d[15])/2 - 
       6*d[17] + 17*d[18] + (7*d[19])/2 + (3*d[20])/2 - 3*d[21] + 2*d[22] + 
       (3*d[23])/2 - 6*d[24] - d[25])*HPL[{0, 0, 0, 1, 0, 1}, 1 - v] + 
     (6*d[6] + 6*d[7] + 6*d[8] - 6*d[9] - 11*d[10] + (11*d[11])/2 + 8*d[12] - 
       (3*d[14])/2 - (3*d[15])/2 - 6*d[17] + 17*d[18] + (7*d[19])/2 + 
       (3*d[20])/2 - 3*d[21] + 2*d[22] + (3*d[23])/2 - 6*d[24])*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - w] + (-12*d[2] - 30*d[3] + 24*d[4] + 
       48*d[5] + 12*d[6] + 15*d[7] - 27*d[8] + 57*d[9] + 42*d[10] + 
       18*d[11] - 51*d[12] + 60*d[13] + 6*d[14] + 30*d[15] + 72*d[16] + 
       42*d[17] - 54*d[18] - 18*d[19] - (3*d[20])/2 - 42*d[21] + 12*d[22] + 
       21*d[23] + (159*d[24])/2 + 6*d[27] + 6*d[28] + 3*d[29] + 12*d[30] + 
       12*d[31] + 9*d[32] - 30*d[33] + 6*d[34] + 36*d[36])*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - v] + (-36*d[3] + 36*d[4] + 24*d[5] - 
       15*d[6] + 4*d[7] - 33*d[8] + 27*d[9] + 6*d[10] - 33*d[11] - 36*d[12] + 
       60*d[13] + 6*d[14] + 30*d[15] + 72*d[16] + 42*d[17] - 54*d[18] - 
       18*d[19] - (3*d[20])/2 - 42*d[21] + 12*d[22] + 21*d[23] + 
       (159*d[24])/2 - 6*d[26] - 12*d[27] + 6*d[28] + 3*d[29] + 12*d[30] + 
       12*d[31] + 9*d[32] - 30*d[33] + 6*d[34] + 36*d[36])*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - w] + (-6*d[2] - 15*d[3] + 12*d[4] + 
       24*d[5] + 8*d[6] + (15*d[7])/2 - (27*d[8])/2 + (57*d[9])/2 + 
       21*d[10] + 9*d[11] - 24*d[12] + 25*d[13] + 3*d[14] + 19*d[15] + 
       31*d[16] + 26*d[17] - (67*d[18])/2 - 13*d[19] - (19*d[20])/4 - 
       25*d[21] + 2*d[22] + (19*d[23])/2 + (181*d[24])/4 + 3*d[27] + 
       (5*d[28])/2 + d[29] + 6*d[30] + 6*d[31] + (9*d[32])/2 - 15*d[33] + 
       3*d[34] + 18*d[36])*HPL[{0, 0, 1, 0, 1, 1}, 1 - v] + 
     (-18*d[3] + 18*d[4] + 12*d[5] - 6*d[6] + (5*d[7])/2 - 18*d[8] + 
       14*d[9] - d[10] - (39*d[11])/2 - 17*d[12] + 25*d[13] + 3*d[14] + 
       19*d[15] + 31*d[16] + 26*d[17] - (67*d[18])/2 - 13*d[19] - 
       (19*d[20])/4 - 25*d[21] + 2*d[22] + (19*d[23])/2 + (181*d[24])/4 - 
       3*d[26] - 6*d[27] + (5*d[28])/2 + d[29] + 6*d[30] + 6*d[31] + 
       (9*d[32])/2 - 15*d[33] + 3*d[34] + 18*d[36])*HPL[{0, 0, 1, 0, 1, 1}, 
       1 - w] + (-2*d[2] - 5*d[3] + 4*d[4] + 8*d[5] + 2*d[6] + (5*d[7])/2 - 
       (9*d[8])/2 + (19*d[9])/2 + 7*d[10] + 3*d[11] - (15*d[12])/2 + 
       5*d[13] + d[14] + 7*d[15] + 7*d[16] + 10*d[17] - (31*d[18])/2 - 
       5*d[19] - (17*d[20])/4 - 9*d[21] + (5*d[23])/2 + (81*d[24])/4 + 
       d[27] + d[28]/2 + 2*d[30] + 2*d[31] + (3*d[32])/2 - 5*d[33] + d[34] + 
       6*d[36])*HPL[{0, 0, 1, 1, 0, 1}, 1 - v] + 
     (-6*d[3] + 6*d[4] + 4*d[5] - (5*d[6])/2 + d[7] - (17*d[8])/2 + 
       (13*d[9])/2 - d[10] - (13*d[11])/2 - 5*d[12] + 5*d[13] + d[14] + 
       7*d[15] + 7*d[16] + 10*d[17] - (31*d[18])/2 - 5*d[19] - (17*d[20])/4 - 
       9*d[21] + (5*d[23])/2 + (81*d[24])/4 - d[26] - 2*d[27] + d[28]/2 + 
       2*d[30] + 2*d[31] + (3*d[32])/2 - 5*d[33] + d[34] + 6*d[36])*
      HPL[{0, 0, 1, 1, 0, 1}, 1 - w] + (-18*d[2] - 48*d[3] + 42*d[4] + 
       63*d[5] + 42*d[6] + 53*d[7] + 47*d[8] - 38*d[9] + 27*d[10] + d[11] + 
       6*d[12] + 14*d[13] + 10*d[14] + 51*d[15] + 33*d[16] + 98*d[17] - 
       144*d[18] - 27*d[19] - 138*d[20] - 84*d[21] + 15*d[22] - 42*d[23] - 
       109*d[24] + 24*d[31] + 12*d[32] - 42*d[33] + 18*d[34] + 72*d[36])*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - v] + (-48*d[3] + 48*d[4] + 80*d[5] + 
       25*d[6] - 24*d[7] - 27*d[8] + 72*d[9] - 29*d[10] - 30*d[11] - 
       6*d[12] + 14*d[13] + 10*d[14] + 51*d[15] + 33*d[16] + 98*d[17] - 
       144*d[18] - 27*d[19] - 138*d[20] - 84*d[21] + 15*d[22] - 42*d[23] - 
       109*d[24] + 3*d[25] - 3*d[26] - 9*d[27] + 24*d[31] + 12*d[32] - 
       42*d[33] + 18*d[34] + 72*d[36])*HPL[{0, 0, 1, 1, 1, 1}, 1 - w] + 
     ((-9*d[2])/2 - 12*d[3] + (21*d[4])/2 + (63*d[5])/4 + (21*d[6])/2 + 
       (53*d[7])/4 + (47*d[8])/4 - (19*d[9])/2 + (27*d[10])/4 + d[11]/4 + 
       (3*d[12])/2 + (7*d[13])/2 + (5*d[14])/2 + (51*d[15])/4 + 
       (33*d[16])/4 + (49*d[17])/2 - 36*d[18] - (27*d[19])/4 - (69*d[20])/2 - 
       21*d[21] + (15*d[22])/4 - (21*d[23])/2 - (109*d[24])/4 + 6*d[31] + 
       3*d[32] - (21*d[33])/2 + (9*d[34])/2 + 18*d[36])*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - v] + (-d[2] - 12*d[3] + 12*d[4] + 20*d[5] + 
       (25*d[6])/4 - 6*d[7] - (27*d[8])/4 + 18*d[9] - (29*d[10])/4 - 
       (15*d[11])/2 - (3*d[12])/2 + (7*d[13])/2 + (5*d[14])/2 + 
       (51*d[15])/4 + (33*d[16])/4 + (49*d[17])/2 - 36*d[18] - (27*d[19])/4 - 
       (69*d[20])/2 - 21*d[21] + (15*d[22])/4 - (21*d[23])/2 - 
       (109*d[24])/4 + (3*d[25])/4 - (3*d[26])/4 - (9*d[27])/4 + 6*d[31] + 
       3*d[32] - (21*d[33])/2 + (9*d[34])/2 + 18*d[36])*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - w] + ((5*d[7])/2 + (5*d[8])/2 - 
       (5*d[9])/2 + 15*d[10] - 25*d[11] - 25*d[12] - (5*d[13])/2 + 
       (5*d[14])/2 + (145*d[20])/2 + 35*d[23] - (5*d[24])/2)*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - v] + ((-15*d[1])/2 - (25*d[2])/3 - 
       (5*d[5])/2 - (45*d[12])/2 - (5*d[13])/2 + (5*d[14])/2 + 
       (145*d[20])/2 + 35*d[23] - (5*d[24])/2)*HPL[{0, 1, 1, 1, 1, 1}, 
       1 - w] + ((-2*d[4])/3 - (41*d[6])/6 + 4*d[10] - d[11] - (2*d[12])/3 + 
       (4*d[15])/3 + (16*d[17])/3 - (8*d[18])/3 - (4*d[19])/3 - 7*d[20] + 
       (4*d[21])/3 - (8*d[22])/3 + (28*d[23])/3 + 23*d[24])*HPL[{1}, 1 - u]*
      M1[u, v, w] + ((2*d[4])/3 - (11*d[5])/6 - (5*d[7])/6 + (8*d[8])/3 - 
       (4*d[9])/3 + (5*d[10])/3 - (5*d[11])/6 + d[12]/2 - d[13] + 2*d[14] + 
       (7*d[15])/6 - (16*d[16])/3 - d[17] + 2*d[18] - d[19]/6 - 
       (47*d[20])/12 - (7*d[21])/6 - (7*d[22])/6 - (25*d[23])/12 - 
       (79*d[24])/24 - d[27]/6 + d[33] - d[34])*HPL[{1}, 1 - v]*M1[u, v, w] + 
     ((-3*d[5])/2 - (7*d[6])/12 - d[7]/2 + 2*d[8] - 2*d[9] + (11*d[10])/3 - 
       (5*d[11])/6 + (19*d[12])/6 - d[13] + 2*d[14] + (7*d[15])/6 - 
       (16*d[16])/3 - d[17] + 2*d[18] - d[19]/6 - (47*d[20])/12 - 
       (7*d[21])/6 - (7*d[22])/6 - (25*d[23])/12 - (79*d[24])/24 + d[26]/3 + 
       d[27]/2 + d[33] - d[34])*HPL[{1}, 1 - w]*M1[u, v, w] + 
     (-d[4]/3 + (7*d[6])/3 - 4*d[10] + d[11] - d[12]/3 - d[15]/3 - d[17]/3 - 
       (4*d[18])/3 + d[19]/3 + (7*d[20])/2 - d[21]/3 + (2*d[22])/3 - 
       (13*d[23])/3 - (21*d[24])/2)*HPL[{1}, 1 - u]*M1[v, u, w] + 
     (d[4]/3 - d[5]/6 - d[6]/2 - d[7]/6 - d[8]/6 + d[9]/3 + (4*d[10])/3 - 
       (5*d[11])/3 - d[14] + d[15]/3 + (4*d[16])/3 - d[19]/3 + (2*d[20])/3 - 
       (7*d[21])/3 - d[22]/3 + d[23]/3 - d[24]/3 + d[26]/2 - d[27]/3)*
      HPL[{1}, 1 - v]*M1[v, u, w] + (-d[2] + (3*d[5])/2 + d[6]/3 + d[7]/2 - 
       2*d[8] + 2*d[9] - (11*d[10])/3 + (5*d[11])/6 - (2*d[12])/3 + d[13] - 
       d[14] - (2*d[15])/3 + (16*d[16])/3 - d[19]/3 + (2*d[20])/3 + 
       (2*d[21])/3 + (2*d[22])/3 + d[23]/3 + (14*d[24])/3 - d[26]/3 - 
       d[27]/2 - d[33] + d[34])*HPL[{1}, 1 - w]*M1[v, u, w] + 
     (-d[4]/3 - (31*d[6])/6 + 4*d[10] - d[11] - d[12]/3 + (2*d[15])/3 + 
       (8*d[17])/3 - (4*d[18])/3 - (2*d[19])/3 - (7*d[20])/2 + (2*d[21])/3 - 
       (4*d[22])/3 + (17*d[23])/3 + (25*d[24])/2)*HPL[{1}, 1 - u]*
      M1[v, w, u] + (d[4]/3 - d[5]/6 - d[7]/6 - d[8]/6 + d[9]/3 - 
       (7*d[10])/6 - d[11]/6 - d[12]/2 + d[14] - (2*d[15])/3 + d[16]/3 - 
       d[17] + 2*d[18] + (2*d[19])/3 - (31*d[20])/12 + d[21]/6 + 
       (2*d[22])/3 + (7*d[23])/12 + (37*d[24])/24 - d[27]/3)*HPL[{1}, 1 - v]*
      M1[v, w, u] + ((-3*d[5])/2 - (5*d[6])/12 - d[7]/2 + 2*d[8] - 2*d[9] + 
       (23*d[10])/6 - (2*d[11])/3 + (11*d[12])/6 - d[13] + d[14] + d[15]/3 - 
       (17*d[16])/3 - d[17] + 2*d[18] + (2*d[19])/3 - (31*d[20])/12 + 
       d[21]/6 - d[22]/3 - (17*d[23])/12 - (83*d[24])/24 + d[26]/6 + 
       d[27]/2 + d[33] - d[34])*HPL[{1}, 1 - w]*M1[v, w, u] + 
     (-d[3] - (7*d[6])/2 + 4*d[10] - d[11] + d[15] + 5*d[17] - 4*d[18] - 
       d[19] - (7*d[20])/2 + d[21] - 2*d[22] + 5*d[23] + (25*d[24])/2)*
      HPL[{1}, 1 - u]*M1[w, u, v] + (-d[10] + d[11] + d[12]/2 + d[14] + 
       d[15]/2 - d[17] + 2*d[18] - d[19]/2 - (13*d[20])/4 - d[21]/2 - 
       d[22]/2 - (7*d[23])/4 + (11*d[24])/8)*HPL[{1}, 1 - v]*M1[w, u, v] + 
     (d[4] - 2*d[5] - (3*d[6])/4 + (5*d[8])/2 - 2*d[9] + 4*d[10] - 
       (5*d[11])/2 + (5*d[12])/2 - d[13] + d[14] + (3*d[15])/2 - 4*d[16] - 
       d[17] + 2*d[18] - d[19]/2 - (13*d[20])/4 - (7*d[21])/2 - (3*d[22])/2 - 
       (7*d[23])/4 - (29*d[24])/8 + d[26]/2 - d[27]/2 + d[33] - d[34])*
      HPL[{1}, 1 - w]*M1[w, u, v] + (d[4]/3 + (5*d[6])/3 - 4*d[10] + d[11] + 
       d[12]/3 - (2*d[15])/3 - (8*d[17])/3 + (4*d[18])/3 + (2*d[19])/3 + 
       (7*d[20])/2 - (2*d[21])/3 + (4*d[22])/3 - (11*d[23])/3 - (21*d[24])/2)*
      HPL[{1}, 1 - u]*M1[w, v, u] + (-d[4]/3 + d[5]/6 + d[7]/6 + d[8]/6 - 
       d[9]/3 + (13*d[10])/6 + d[11]/6 - d[14] - (5*d[15])/6 - d[16]/3 + 
       (5*d[19])/6 + (4*d[20])/3 + (4*d[21])/3 + (5*d[22])/6 + (2*d[23])/3 - 
       d[24]/6 + d[27]/3)*HPL[{1}, 1 - v]*M1[w, v, u] + 
     ((3*d[5])/2 + d[6]/6 + d[7]/2 - 2*d[8] + 2*d[9] - (23*d[10])/6 + 
       (2*d[11])/3 - (10*d[12])/3 + d[13] - d[14] - (11*d[15])/6 + 
       (17*d[16])/3 + (5*d[19])/6 + (4*d[20])/3 + (4*d[21])/3 + 
       (11*d[22])/6 + (8*d[23])/3 + (29*d[24])/6 - d[26]/6 - d[27]/2 - 
       d[33] + d[34])*HPL[{1}, 1 - w]*M1[w, v, u] + 
     (d[4]/3 + (5*d[6])/3 + d[12]/3 + d[15]/3 - (11*d[17])/3 + (13*d[18])/3 - 
       d[19]/3 - (5*d[21])/3 + d[22]/3 - (2*d[23])/3 - 2*d[24])*
      HPL[{1}, 1 - u]*Nt[u, v, w] + (-d[4]/3 + d[5]/6 + d[6]/4 - d[7]/12 - 
       d[8]/12 - d[9]/12 - (5*d[10])/6 + (2*d[11])/3 + d[12]/2 - d[15]/3 - 
       d[16]/3 + d[17] - 2*d[18] + d[19]/3 + d[20]/3 + (5*d[21])/6 + 
       d[22]/3 - d[23]/3 - (25*d[24])/24 + d[27]/3)*HPL[{1}, 1 - v]*
      Nt[u, v, w] + (d[6]/6 + d[10]/6 + d[11]/6 - (7*d[12])/12 - d[15]/3 - 
       d[16]/3 + d[17] - 2*d[18] + d[19]/3 + d[20]/3 + (5*d[21])/6 + 
       d[22]/3 - d[23]/3 - (25*d[24])/24 - d[26]/6)*HPL[{1}, 1 - w]*
      Nt[u, v, w] + ((-2*d[4])/3 + (14*d[6])/3 - 8*d[10] + 2*d[11] - 
       (2*d[12])/3 - (2*d[15])/3 + (34*d[17])/3 - (50*d[18])/3 + 
       (2*d[19])/3 + 7*d[20] + (10*d[21])/3 - (2*d[22])/3 - (26*d[23])/3 - 
       17*d[24])*HPL[{1}, 1 - u]^2*Omega2[u, v, w] + 
     ((-2*d[4])/3 - d[5]/3 - (85*d[6])/6 + d[7]/6 + d[8]/6 + d[9]/6 + 
       (41*d[10])/3 - (10*d[11])/3 - (7*d[12])/3 - 2*d[14] + (4*d[15])/3 + 
       (2*d[16])/3 + (32*d[17])/3 - (22*d[18])/3 - (4*d[19])/3 - 
       (17*d[20])/3 + 3*d[21] - 4*d[22] + (40*d[23])/3 + (373*d[24])/12 - 
       (2*d[27])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[u, v, w] + 
     ((4*d[4])/3 - (2*d[5])/3 - d[6]/2 + d[7]/3 + d[8]/3 + d[9]/3 - 
       (2*d[10])/3 - (5*d[11])/3 + 2*d[14] + (4*d[15])/3 + (4*d[16])/3 - 
       4*d[17] + 8*d[18] - (4*d[19])/3 - (35*d[20])/6 - (10*d[21])/3 - 
       (4*d[22])/3 - (13*d[23])/6 + (25*d[24])/6 - (4*d[27])/3)*
      HPL[{1}, 1 - v]^2*Omega2[u, v, w] + 
     ((2*d[4])/3 + 3*d[5] + 3*d[6] + d[7] - 4*d[8] + 4*d[9] - (25*d[10])/3 + 
       (2*d[11])/3 + (17*d[12])/6 + 2*d[13] - 2*d[14] + (4*d[15])/3 + 
       (38*d[16])/3 - (28*d[17])/3 + (38*d[18])/3 - (10*d[19])/3 + 
       (4*d[20])/3 - 7*d[21] - (2*d[23])/3 + (97*d[24])/12 + d[26]/3 - 
       d[27] - 2*d[33] + 2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Omega2[u, v, w] + ((-2*d[4])/3 - (8*d[5])/3 - (2*d[6])/3 - (7*d[7])/6 + 
       (23*d[8])/6 - (25*d[9])/6 + (20*d[10])/3 - d[11]/3 + (29*d[12])/6 - 
       2*d[13] + 2*d[14] + (2*d[15])/3 - (34*d[16])/3 - 2*d[17] + 4*d[18] + 
       (4*d[19])/3 - (31*d[20])/6 + d[21]/3 - (2*d[22])/3 - (5*d[23])/6 - 
       (83*d[24])/12 + (2*d[26])/3 + (5*d[27])/3 + 2*d[33] - 2*d[34])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w] + 
     (d[2]/3 + d[6]/3 + d[10]/3 + d[11]/3 - (7*d[12])/6 - (2*d[15])/3 - 
       (2*d[16])/3 + 2*d[17] - 4*d[18] + (2*d[19])/3 + (2*d[20])/3 + 
       (5*d[21])/3 + (2*d[22])/3 - (2*d[23])/3 - (13*d[24])/12 - d[26]/3)*
      HPL[{1}, 1 - w]^2*Omega2[u, v, w] + 
     ((2*d[4])/3 + (10*d[6])/3 + (2*d[12])/3 + (2*d[15])/3 - (22*d[17])/3 + 
       (26*d[18])/3 - (2*d[19])/3 - (10*d[21])/3 + (2*d[22])/3 - 
       (4*d[23])/3 - 4*d[24])*HPL[{1}, 1 - u]^2*Omega2[v, w, u] + 
     (-2*d[4] + d[5]/3 + (11*d[6])/6 - d[7]/6 - d[8]/6 - d[9]/6 - 
       (29*d[10])/3 + (10*d[11])/3 - d[12]/3 - 2*d[15] - (2*d[16])/3 + 
       (26*d[17])/3 - (46*d[18])/3 + 2*d[19] + (23*d[20])/3 + (13*d[21])/3 + 
       (4*d[22])/3 - 8*d[23] - (229*d[24])/12 + (2*d[27])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*Omega2[v, w, u] + ((4*d[4])/3 - (2*d[5])/3 - d[6]/2 - 
       (2*d[7])/3 - (2*d[8])/3 + (4*d[9])/3 + (16*d[10])/3 - (11*d[11])/3 - 
       d[12] - 2*d[14] + d[15]/3 + (4*d[16])/3 - 2*d[17] + 4*d[18] - 
       d[19]/3 + (8*d[20])/3 - (7*d[21])/3 - d[22]/3 + (4*d[23])/3 + 
       (41*d[24])/12 - (4*d[27])/3)*HPL[{1}, 1 - v]^2*Omega2[v, w, u] + 
     ((-2*d[4])/3 - 10*d[6] + (25*d[10])/3 - (5*d[11])/3 - (5*d[12])/6 + 
       (2*d[15])/3 - (2*d[16])/3 + (58*d[17])/3 - (62*d[18])/3 - 
       (2*d[19])/3 - (19*d[20])/3 + 7*d[21] - 4*d[22] + (32*d[23])/3 + 
       (323*d[24])/12 - d[26]/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Omega2[v, w, u] + ((2*d[4])/3 + (8*d[5])/3 - d[6]/6 + (7*d[7])/6 - 
       (23*d[8])/6 + (25*d[9])/6 - 7*d[10] + 2*d[11] + (5*d[12])/6 + 
       2*d[13] + d[15] + 12*d[16] - 6*d[17] + 12*d[18] - 3*d[19] - 
       (17*d[20])/2 - 3*d[21] - d[22] - (7*d[23])/2 + (61*d[24])/4 - 
       d[26]/3 - (5*d[27])/3 - 2*d[33] + 2*d[34])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Omega2[v, w, u] + (-d[2]/3 - 3*d[5] - (11*d[6])/6 - 
       d[7] + 4*d[8] - 4*d[9] + (20*d[10])/3 - (7*d[11])/3 + (37*d[12])/6 - 
       2*d[13] + 2*d[14] + (8*d[15])/3 - (28*d[16])/3 - 4*d[17] + 8*d[18] - 
       (2*d[19])/3 - (31*d[20])/6 - (14*d[21])/3 - (8*d[22])/3 - 
       (17*d[23])/6 - (19*d[24])/6 + (4*d[26])/3 + d[27] + 2*d[33] - 2*d[34])*
      HPL[{1}, 1 - w]^2*Omega2[v, w, u] + 
     (-2*d[4] - 9*d[6] + 8*d[10] - 2*d[11] - 2*d[12] + 2*d[15] + 22*d[17] - 
       22*d[18] - 2*d[19] - 7*d[20] + 6*d[21] - 6*d[22] + 10*d[23] + 
       29*d[24])*HPL[{1}, 1 - u]^2*Omega2[w, u, v] + 
     ((8*d[4])/3 - d[5] + (17*d[6])/6 - d[7]/2 - d[8]/2 + (3*d[9])/2 - 
       d[10] - 2*d[11] + (2*d[12])/3 + 2*d[14] + (11*d[15])/3 + 2*d[16] - 
       (34*d[17])/3 + (50*d[18])/3 - (11*d[19])/3 - (13*d[20])/2 - 
       (28*d[21])/3 - (7*d[22])/3 - (29*d[23])/6 + (3*d[24])/2 - 2*d[27])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[w, u, v] + 
     ((-2*d[4])/3 + d[5]/3 + d[6]/2 - (2*d[7])/3 - (2*d[8])/3 + d[9]/3 - 
       (5*d[10])/3 + (4*d[11])/3 + d[12] - (2*d[15])/3 - (2*d[16])/3 + 
       2*d[17] - 4*d[18] + (2*d[19])/3 + (2*d[20])/3 + (5*d[21])/3 + 
       (2*d[22])/3 - (2*d[23])/3 - (13*d[24])/12 + (2*d[27])/3)*
      HPL[{1}, 1 - v]^2*Omega2[w, u, v] + 
     (-3*d[5] - (3*d[6])/2 - d[7] + 4*d[8] - 4*d[9] - d[10] + (13*d[12])/2 - 
       2*d[13] + 2*d[14] + d[15] - 10*d[16] - 2*d[17] + 2*d[18] + d[19] + 
       d[20]/2 - 2*d[21] - d[22] - (19*d[23])/2 - (43*d[24])/2 + d[26] + 
       d[27] + 2*d[33] - 2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Omega2[w, u, v] + (-d[6]/6 + d[7]/2 + d[8]/2 - d[9]/2 + (16*d[10])/3 - 
       (2*d[11])/3 - (19*d[12])/6 - 2*d[14] - (5*d[15])/3 - (2*d[16])/3 + 
       (5*d[19])/3 + (8*d[20])/3 + (8*d[21])/3 + (5*d[22])/3 + (10*d[23])/3 - 
       d[24]/3 - d[26]/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[w, u, v] + 
     (-d[2]/3 + 3*d[5] + d[7] - 4*d[8] + 4*d[9] - 8*d[10] + d[11] - 
       (3*d[12])/2 + 2*d[13] - 2*d[14] - d[15] + 12*d[16] - 2*d[17] + 
       4*d[18] - d[19] + 2*d[20] - d[21] + d[22] + 2*d[23] + (43*d[24])/4 - 
       d[27] - 2*d[33] + 2*d[34])*HPL[{1}, 1 - w]^2*Omega2[w, u, v] + 
     ((4*d[4])/3 + (37*d[6])/6 + d[12]/3 + d[15]/3 - (29*d[17])/3 + 
       (34*d[18])/3 - d[19]/3 - (11*d[21])/3 + (4*d[22])/3 - (8*d[23])/3 - 
       6*d[24])*HPL[{1}, 1 - u]*Ot[u, v, w] + 
     ((-4*d[4])/3 + (2*d[5])/3 + d[6]/2 + d[7]/6 + d[8]/6 - (5*d[9])/6 - 
       (7*d[10])/3 + (5*d[11])/3 + d[12]/2 - (5*d[15])/6 - (4*d[16])/3 + 
       3*d[17] - 6*d[18] + (5*d[19])/6 + (31*d[20])/12 + (17*d[21])/6 + 
       (5*d[22])/6 + (5*d[23])/12 - (91*d[24])/24 + (4*d[27])/3)*
      HPL[{1}, 1 - v]*Ot[u, v, w] + ((11*d[6])/12 + (2*d[10])/3 + 
       (2*d[11])/3 - (7*d[12])/3 - (5*d[15])/6 - (4*d[16])/3 + 3*d[17] - 
       6*d[18] + (5*d[19])/6 + (31*d[20])/12 + (17*d[21])/6 + (5*d[22])/6 + 
       (5*d[23])/12 - (91*d[24])/24 - (2*d[26])/3)*HPL[{1}, 1 - w]*
      Ot[u, v, w] + ((-128*d[4])/9 + (80*d[6])/9 - (256*d[10])/3 + 
       (64*d[11])/3 - (128*d[12])/9 - (224*d[15])/9 + (544*d[17])/9 - 
       (992*d[18])/9 + (224*d[19])/9 + (224*d[20])/3 + (352*d[21])/9 + 
       (160*d[22])/9 - (704*d[23])/9 - (544*d[24])/3)*HPL[{1}, 1 - u]*
      Qep[u, v, w] + ((128*d[4])/9 - (64*d[5])/9 - (16*d[6])/3 + (8*d[7])/9 + 
       (8*d[8])/9 + (56*d[9])/9 + (512*d[10])/9 - (400*d[11])/9 - 16*d[12] - 
       (64*d[14])/3 + (80*d[15])/9 + (128*d[16])/9 - (64*d[17])/3 + 
       (128*d[18])/3 - (80*d[19])/9 + (472*d[20])/9 - (272*d[21])/9 - 
       (80*d[22])/9 + (296*d[23])/9 + (292*d[24])/9 - (128*d[27])/9)*
      HPL[{1}, 1 - v]*Qep[u, v, w] + (32*d[5] + (8*d[6])/9 + (32*d[7])/3 - 
       (128*d[8])/3 + (128*d[9])/3 - (736*d[10])/9 + (128*d[11])/9 - 
       (40*d[12])/9 + (64*d[13])/3 - (64*d[14])/3 + (32*d[15])/9 + 
       (1088*d[16])/9 - (64*d[17])/3 + (128*d[18])/3 - (224*d[19])/9 + 
       (376*d[20])/9 - (128*d[21])/9 - (32*d[22])/9 + (296*d[23])/9 + 
       (1264*d[24])/9 - (32*d[26])/9 - (32*d[27])/3 - (64*d[33])/3 + 
       (64*d[34])/3)*HPL[{1}, 1 - w]*Qep[u, v, w] + 
     ((-64*d[4])/9 - (1040*d[6])/9 + (256*d[10])/3 - (64*d[11])/3 - 
       (64*d[12])/9 + (32*d[15])/9 + (1568*d[17])/9 - (1504*d[18])/9 - 
       (32*d[19])/9 - (224*d[20])/3 + (608*d[21])/9 - (352*d[22])/9 + 
       (1088*d[23])/9 + (928*d[24])/3)*HPL[{1}, 1 - u]*Qep[u, w, v] + 
     ((64*d[4])/9 - (32*d[5])/9 - (8*d[6])/3 + (40*d[7])/9 + (40*d[8])/9 - 
       (8*d[9])/9 - (32*d[10])/9 + (16*d[11])/9 + (64*d[14])/3 + 
       (256*d[15])/9 + (64*d[16])/9 - (128*d[17])/3 + (256*d[18])/3 - 
       (256*d[19])/9 - (376*d[20])/9 - (352*d[21])/9 - (256*d[22])/9 - 
       (104*d[23])/9 + (632*d[24])/9 - (64*d[27])/9)*HPL[{1}, 1 - v]*
      Qep[u, w, v] + (-32*d[5] - (176*d[6])/9 - (32*d[7])/3 + (128*d[8])/3 - 
       (128*d[9])/3 + (640*d[10])/9 - (224*d[11])/9 + (520*d[12])/9 - 
       (64*d[13])/3 + (64*d[14])/3 + (304*d[15])/9 - (896*d[16])/9 - 
       (128*d[17])/3 + (256*d[18])/3 - (112*d[19])/9 - (280*d[20])/9 - 
       (496*d[21])/9 - (304*d[22])/9 - (104*d[23])/9 - (340*d[24])/9 + 
       (128*d[26])/9 + (32*d[27])/3 + (64*d[33])/3 - (64*d[34])/3)*
      HPL[{1}, 1 - w]*Qep[u, w, v] + ((-64*d[4])/3 - 96*d[6] + 
       (256*d[10])/3 - (64*d[11])/3 - (64*d[12])/3 + (64*d[15])/3 + 
       (704*d[17])/3 - (704*d[18])/3 - (64*d[19])/3 - (224*d[20])/3 + 
       64*d[21] - 64*d[22] + (320*d[23])/3 + (928*d[24])/3)*HPL[{1}, 1 - u]*
      Qep[v, u, w] + ((64*d[4])/3 - (32*d[5])/3 - 8*d[6] - (16*d[7])/3 - 
       (16*d[8])/3 + 16*d[9] - (32*d[10])/3 - (64*d[11])/3 - (16*d[12])/3 + 
       (64*d[14])/3 + (80*d[15])/3 + (64*d[16])/3 - (128*d[17])/3 + 
       (256*d[18])/3 - (80*d[19])/3 - 80*d[20] - (176*d[21])/3 - 
       (80*d[22])/3 - (112*d[23])/3 + (140*d[24])/3 - (64*d[27])/3)*
      HPL[{1}, 1 - v]*Qep[v, u, w] + (-32*d[5] - (56*d[6])/3 - (32*d[7])/3 + 
       (128*d[8])/3 - (128*d[9])/3 + (224*d[10])/3 - (64*d[11])/3 + 
       (256*d[12])/3 - (64*d[13])/3 + (64*d[14])/3 + (112*d[15])/3 - 
       (320*d[16])/3 - (128*d[17])/3 + (256*d[18])/3 - 16*d[19] - 
       (176*d[20])/3 - 48*d[21] - (112*d[22])/3 - (112*d[23])/3 - 36*d[24] + 
       (32*d[26])/3 + (32*d[27])/3 + (64*d[33])/3 - (64*d[34])/3)*
      HPL[{1}, 1 - w]*Qep[v, u, w] + ((16*d[6])/3 - (256*d[10])/3 + 
       (64*d[11])/3 - (32*d[15])/3 + 32*d[17] - (224*d[18])/3 + 
       (32*d[19])/3 + (224*d[20])/3 + (32*d[21])/3 + (32*d[22])/3 - 
       64*d[23] - (544*d[24])/3)*HPL[{1}, 1 - u]*Qep[v, w, u] + 
     (-8*d[6] + (8*d[7])/3 + (8*d[8])/3 - (8*d[9])/3 + 64*d[10] - 
       (16*d[11])/3 - (32*d[12])/3 - (64*d[14])/3 - (64*d[15])/3 - 
       (64*d[17])/3 + (128*d[18])/3 + (64*d[19])/3 - (40*d[20])/3 + 
       (64*d[21])/3 + (64*d[22])/3 + (8*d[23])/3)*HPL[{1}, 1 - v]*
      Qep[v, w, u] + (32*d[5] + (32*d[7])/3 - (128*d[8])/3 + (128*d[9])/3 - 
       (256*d[10])/3 + (32*d[11])/3 - 8*d[12] + (64*d[13])/3 - (64*d[14])/3 - 
       16*d[15] + 128*d[16] - (64*d[17])/3 + (128*d[18])/3 - (16*d[19])/3 - 
       (8*d[20])/3 - (16*d[21])/3 + 16*d[22] + (8*d[23])/3 + (356*d[24])/3 - 
       (32*d[27])/3 - (64*d[33])/3 + (64*d[34])/3)*HPL[{1}, 1 - w]*
      Qep[v, w, u] + ((-64*d[4])/9 + (448*d[6])/9 - (256*d[10])/3 + 
       (64*d[11])/3 - (64*d[12])/9 - (64*d[15])/9 + (1088*d[17])/9 - 
       (1600*d[18])/9 + (64*d[19])/9 + (224*d[20])/3 + (320*d[21])/9 - 
       (64*d[22])/9 - (832*d[23])/9 - (544*d[24])/3)*HPL[{1}, 1 - u]*
      Qep[w, u, v] + ((64*d[4])/9 - (32*d[5])/9 - (8*d[6])/3 + (16*d[7])/9 + 
       (16*d[8])/9 + (16*d[9])/9 + (544*d[10])/9 - (128*d[11])/9 - 
       (16*d[12])/3 - (64*d[14])/3 + (112*d[15])/9 + (64*d[16])/9 - 
       (64*d[17])/3 + (128*d[18])/3 - (112*d[19])/9 + (224*d[20])/9 - 
       (208*d[21])/9 - (112*d[22])/9 + (64*d[23])/9 + (308*d[24])/9 - 
       (64*d[27])/9)*HPL[{1}, 1 - v]*Qep[w, u, v] + 
     (32*d[5] - (8*d[6])/9 + (32*d[7])/3 - (128*d[8])/3 + (128*d[9])/3 - 
       (800*d[10])/9 + (64*d[11])/9 + (64*d[12])/9 + (64*d[13])/3 - 
       (64*d[14])/3 + (16*d[15])/9 + (1216*d[16])/9 - (64*d[17])/3 + 
       (128*d[18])/3 - (208*d[19])/9 + (32*d[20])/9 - (304*d[21])/9 - 
       (16*d[22])/9 + (64*d[23])/9 + (1052*d[24])/9 + (32*d[26])/9 - 
       (32*d[27])/3 - (64*d[33])/3 + (64*d[34])/3)*HPL[{1}, 1 - w]*
      Qep[w, u, v] + ((-128*d[4])/9 - (1264*d[6])/9 + (256*d[10])/3 - 
       (64*d[11])/3 - (128*d[12])/9 + (160*d[15])/9 + (1312*d[17])/9 - 
       (1184*d[18])/9 - (160*d[19])/9 - (224*d[20])/3 + (352*d[21])/9 - 
       (416*d[22])/9 + (1216*d[23])/9 + (928*d[24])/3)*HPL[{1}, 1 - u]*
      Qep[w, v, u] + ((128*d[4])/9 - (64*d[5])/9 - (16*d[6])/3 - 
       (40*d[7])/9 - (40*d[8])/9 + (104*d[9])/9 - (64*d[10])/9 - 
       (112*d[11])/9 + (16*d[12])/3 + (64*d[14])/3 + (80*d[15])/9 + 
       (128*d[16])/9 - (128*d[17])/3 + (256*d[18])/3 - (80*d[19])/9 - 
       (776*d[20])/9 - (272*d[21])/9 - (80*d[22])/9 - (376*d[23])/9 + 
       (436*d[24])/9 - (128*d[27])/9)*HPL[{1}, 1 - v]*Qep[w, v, u] + 
     (-32*d[5] - (88*d[6])/9 - (32*d[7])/3 + (128*d[8])/3 - (128*d[9])/3 + 
       (704*d[10])/9 - (160*d[11])/9 + (488*d[12])/9 - (64*d[13])/3 + 
       (64*d[14])/3 + (32*d[15])/9 - (1024*d[16])/9 - (128*d[17])/3 + 
       (256*d[18])/3 + (160*d[19])/9 - (872*d[20])/9 - (32*d[21])/9 - 
       (32*d[22])/9 - (376*d[23])/9 - (632*d[24])/9 + (64*d[26])/9 + 
       (32*d[27])/3 + (64*d[33])/3 - (64*d[34])/3)*HPL[{1}, 1 - w]*
      Qep[w, v, u] + ((2*d[4])/3 + (13*d[6])/12 + (2*d[12])/3 - d[15]/3 - 
       (25*d[17])/3 + (29*d[18])/3 + d[19]/3 - (7*d[21])/3 + (5*d[22])/3 - 
       d[23]/3 - 3*d[24])*HPL[{1}, 1 - u]^4*\[Zeta][2] + 
     ((-2*d[4])/3 + d[5]/3 + d[6]/4 + d[7]/12 + d[8]/12 - (5*d[9])/12 - 
       (7*d[10])/6 + (5*d[11])/6 + (17*d[12])/4 - (11*d[15])/12 - 
       (2*d[16])/3 - (49*d[17])/2 + 27*d[18] + (11*d[19])/12 + 
       (31*d[20])/24 + (23*d[21])/12 + (11*d[22])/12 + (17*d[23])/24 - 
       (43*d[24])/48 + (2*d[27])/3)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      \[Zeta][2] + (-d[7]/2 - d[8]/2 + d[9]/2 + 4*d[10] - d[11] + 2*d[12] - 
       3*d[15] - 26*d[17] + 30*d[18] + 3*d[19] + (31*d[20])/4 + 6*d[21] + 
       18*d[23] + 19*d[24])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*\[Zeta][2] + 
     ((2*d[4])/3 + (41*d[6])/12 + d[7]/2 + d[8]/2 - d[9]/2 - 8*d[10] + 
       d[11] + (2*d[12])/3 - (4*d[14])/3 - (29*d[15])/6 - (5*d[17])/6 - 
       (7*d[18])/3 + (29*d[19])/6 + (15*d[20])/2 + (19*d[21])/6 + 
       (17*d[22])/3 + (13*d[23])/6 - (85*d[24])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*\[Zeta][2] + ((-2*d[4])/3 + d[5]/3 + d[6]/4 + 
       d[7]/12 + d[8]/12 - (5*d[9])/12 - (7*d[10])/6 + (4*d[11])/3 + 
       d[12]/4 - d[14]/2 - (5*d[15])/12 - (2*d[16])/3 + (3*d[17])/2 - 
       3*d[18] + (5*d[19])/12 + (175*d[20])/24 + (17*d[21])/12 + 
       (5*d[22])/12 + (83*d[23])/24 - (115*d[24])/48 + (2*d[27])/3)*
      HPL[{1}, 1 - v]^4*\[Zeta][2] + ((11*d[6])/24 + d[10]/3 + d[11]/3 + 
       (11*d[12])/6 - (11*d[15])/12 - (2*d[16])/3 - (49*d[17])/2 + 27*d[18] + 
       (11*d[19])/12 + (31*d[20])/24 + (23*d[21])/12 + (11*d[22])/12 + 
       (17*d[23])/24 - (43*d[24])/48 - d[26]/3)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*\[Zeta][2] + ((2*d[4])/3 + (55*d[6])/3 - d[7]/2 - 
       d[8]/2 + d[9]/2 + d[11] - (35*d[12])/6 + (11*d[15])/3 + (80*d[17])/3 - 
       (112*d[18])/3 - (14*d[19])/3 - (25*d[20])/2 - (46*d[21])/3 + 
       (5*d[22])/3 - (113*d[23])/6 - (75*d[24])/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (-2*d[3] - (2*d[4])/3 - (8*d[5])/3 - 2*d[6] - (5*d[7])/3 + (10*d[8])/3 - 
       (11*d[9])/3 + (37*d[10])/3 - (2*d[11])/3 - (9*d[12])/2 - (3*d[13])/2 - 
       2*d[14] + (16*d[15])/3 - (26*d[16])/3 - 22*d[17] + 24*d[18] - 
       (7*d[19])/3 + (299*d[20])/12 - (22*d[21])/3 - (13*d[22])/3 + 
       (37*d[23])/3 - (55*d[24])/12 + 2*d[26] + (5*d[27])/3 + 2*d[33] - 
       2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      \[Zeta][2] + ((3*d[6])/8 - 2*d[7] - 2*d[8] + 2*d[9] - (11*d[10])/12 + 
       (25*d[11])/12 - d[12]/6 - d[13]/3 + (2*d[14])/3 - (7*d[15])/6 - 
       d[16]/6 + (11*d[17])/2 - 11*d[18] + (7*d[19])/6 - (385*d[20])/24 + 
       (17*d[21])/12 + (7*d[22])/6 - (85*d[23])/8 - (105*d[24])/16 - 
       d[26]/12)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (-d[6]/2 - (19*d[12])/2 - 3*d[15] - 26*d[17] + 30*d[18] + 3*d[19] + 
       (31*d[20])/4 + 6*d[21] + 18*d[23] + 19*d[24])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*\[Zeta][2] + ((2*d[2])/3 - 3*d[5] - (7*d[6])/6 - 
       (3*d[7])/2 + (11*d[8])/2 - (7*d[9])/2 - (17*d[10])/3 + d[11]/3 + 
       (34*d[12])/3 - (3*d[13])/2 - 2*d[14] + (16*d[15])/3 - (26*d[16])/3 - 
       22*d[17] + 24*d[18] - (7*d[19])/3 + (299*d[20])/12 - (22*d[21])/3 - 
       (13*d[22])/3 + (37*d[23])/3 - (55*d[24])/12 - d[26]/3 + d[27] + 
       2*d[33] - 2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      \[Zeta][2] + (2*d[4] - d[5] + d[7]/2 + d[8]/2 + d[9]/2 + 4*d[10] - 
       2*d[11] - 3*d[12] + d[13]/2 - (5*d[14])/2 - (3*d[15])/2 - 
       (11*d[16])/2 + 8*d[17] - 16*d[18] + 2*d[19] + (11*d[20])/2 + 5*d[21] + 
       d[22] - d[23] - 11*d[24] - 2*d[27] + d[33] - d[34])*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*\[Zeta][2] + ((-2*d[2])/3 + d[4]/6 + (19*d[6])/12 - 
       (22*d[12])/3 - (4*d[14])/3 - (29*d[15])/6 - (5*d[17])/6 - 
       (7*d[18])/3 + (29*d[19])/6 + (15*d[20])/2 + (19*d[21])/6 + 
       (17*d[22])/3 + (13*d[23])/6 - (85*d[24])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^3*\[Zeta][2] + ((-8*d[2])/3 - d[4]/6 + d[5]/12 + 
       d[6]/4 - d[7]/6 - d[8]/6 + d[9]/12 - (17*d[10])/12 + d[11]/12 - 
       (23*d[12])/4 - d[13]/3 + (2*d[14])/3 - (7*d[15])/6 - d[16]/6 + 
       (11*d[17])/2 - 11*d[18] + (7*d[19])/6 - (385*d[20])/24 + 
       (17*d[21])/12 + (7*d[22])/6 - (85*d[23])/8 - (105*d[24])/16 + d[27]/6)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*\[Zeta][2] + 
     (d[2]/3 + (11*d[6])/24 + d[10]/3 + d[11]/3 - (7*d[12])/6 - d[14]/2 - 
       (5*d[15])/12 - (2*d[16])/3 + (3*d[17])/2 - 3*d[18] + (5*d[19])/12 + 
       (175*d[20])/24 + (17*d[21])/12 + (5*d[22])/12 + (83*d[23])/24 - 
       (115*d[24])/48 - d[26]/3)*HPL[{1}, 1 - w]^4*\[Zeta][2] + 
     ((10*d[4])/3 + (65*d[6])/12 + (10*d[12])/3 - (5*d[15])/3 - 
       (125*d[17])/3 + (145*d[18])/3 + (5*d[19])/3 - (35*d[21])/3 + 
       (25*d[22])/3 - (5*d[23])/3 - 15*d[24])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + (-2*d[3] - (8*d[4])/3 + (5*d[5])/3 - 
       (71*d[6])/12 + (5*d[7])/12 + (5*d[8])/12 - (25*d[9])/12 + 
       (157*d[10])/6 - (23*d[11])/6 + (11*d[12])/12 + (157*d[15])/12 - 
       (10*d[16])/3 + d[17]/6 + (23*d[18])/3 - (133*d[19])/12 - 
       (529*d[20])/24 - (3*d[21])/4 - (55*d[22])/4 + (989*d[23])/24 + 
       (4669*d[24])/48 + (10*d[27])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + ((-2*d[4])/3 + d[5]/3 + (3*d[6])/2 - 
       (2*d[7])/3 - (2*d[8])/3 + d[9]/3 - (53*d[10])/3 + (13*d[11])/3 + 
       d[12] + 7*d[14] - (8*d[15])/3 - (5*d[16])/3 + 2*d[17] - 4*d[18] + 
       (13*d[19])/6 - (163*d[20])/12 + (17*d[21])/3 + (13*d[22])/6 - 
       (32*d[23])/3 - (34*d[24])/3 + (2*d[27])/3)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + (4*d[4] + (907*d[6])/24 - 
       (91*d[10])/3 + (29*d[11])/3 - (59*d[12])/6 + (29*d[15])/12 - 
       (10*d[16])/3 - (85*d[17])/2 + 29*d[18] - (5*d[19])/12 + 
       (815*d[20])/24 - (137*d[21])/12 + (91*d[22])/12 - (803*d[23])/24 - 
       (4163*d[24])/48 - (2*d[26])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + (-2*d[4] - 11*d[5] - (55*d[6])/6 - 
       2*d[7] + 18*d[8] - 19*d[9] + (82*d[10])/3 - (20*d[11])/3 + 
       (31*d[12])/3 - 2*d[13] - 2*d[14] - (17*d[15])/3 - (83*d[16])/3 + 
       12*d[17] - 24*d[18] + (26*d[19])/3 + (80*d[20])/3 + (20*d[21])/3 + 
       (2*d[22])/3 + d[23]/3 - (347*d[24])/6 + (5*d[26])/3 + 6*d[27] + 
       8*d[33] - 8*d[34] - 4*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + (-2*d[2] + 12*d[5] + (5*d[6])/2 + 
       4*d[7] - 16*d[8] + 16*d[9] - (57*d[10])/2 + 7*d[11] - 22*d[12] + 
       8*d[13] - 9*d[14] - 12*d[15] + 41*d[16] + 10*d[17] - 20*d[18] + 
       (7*d[19])/2 + (71*d[20])/4 + 15*d[21] + (23*d[22])/2 + 6*d[23] + 
       15*d[24] - (7*d[26])/2 - 4*d[27] - 8*d[33] + 8*d[34])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     ((19*d[4])/3 + (181*d[6])/6 - 32*d[10] + 8*d[11] + (40*d[12])/3 - 
       (26*d[15])/3 - (149*d[17])/3 + (94*d[18])/3 + (23*d[19])/3 + 
       16*d[20] - (41*d[21])/3 + (58*d[22])/3 - (152*d[23])/3 - 104*d[24])*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (-2*d[3] + (5*d[5])/3 + (185*d[6])/12 + (5*d[7])/3 + (5*d[8])/3 - 
       (10*d[9])/3 + (47*d[10])/3 - (7*d[11])/3 + d[12]/3 - 8*d[14] - 
       (15*d[15])/2 - (10*d[16])/3 - (97*d[17])/6 + (43*d[18])/3 + 
       (11*d[19])/2 + (88*d[20])/3 - (17*d[21])/6 + (23*d[22])/3 + 
       (41*d[23])/2 - (143*d[24])/12 + (10*d[27])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((-10*d[4])/3 + (5*d[5])/3 + (5*d[6])/4 - d[7]/12 - d[8]/12 - 
       (19*d[9])/12 - (59*d[10])/6 + (23*d[11])/3 + (9*d[12])/4 - d[14] - 
       (91*d[15])/12 - (10*d[16])/3 + (15*d[17])/2 - 15*d[18] + 
       (97*d[19])/12 - (313*d[20])/24 + (157*d[21])/12 + (97*d[22])/12 - 
       (275*d[23])/24 - (1115*d[24])/48 + (10*d[27])/3)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (12*d[3] - (26*d[4])/3 - 2*d[5] - 
       (13*d[6])/6 + 19*d[7] - 17*d[8] + 3*d[9] - (13*d[10])/3 - 
       (37*d[11])/3 - 39*d[12] - 8*d[14] + 8*d[15] + (194*d[16])/3 + 
       (49*d[17])/3 + (67*d[18])/3 - 26*d[19] + (115*d[20])/3 - d[21]/3 - 
       (76*d[22])/3 + (155*d[23])/2 + (1945*d[24])/12 + (10*d[26])/3 - 
       8*d[27] - 4*d[31] - 6*d[32] + 4*d[34] - 24*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((2*d[4])/3 - (19*d[5])/3 - (83*d[6])/24 - (7*d[7])/3 + (29*d[8])/3 - 
       (22*d[9])/3 - (167*d[10])/12 + (49*d[11])/12 + (5*d[12])/3 - 8*d[13] + 
       5*d[14] + (65*d[15])/6 - (73*d[16])/6 + (19*d[17])/2 - 19*d[18] - 
       (53*d[19])/6 - (485*d[20])/24 - (223*d[21])/12 - (53*d[22])/6 - 
       (475*d[23])/24 - (751*d[24])/48 - (5*d[26])/12 + (4*d[27])/3 + 
       8*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + (d[1] + 6*d[2] + 8*d[3] - 8*d[4] - 21*d[5] - (29*d[6])/6 + 
       d[7] + 20*d[8] - 22*d[9] + (157*d[10])/6 - (35*d[11])/6 + 
       (44*d[12])/3 - 10*d[13] + 2*d[14] - (5*d[15])/6 - (142*d[16])/3 - 
       9*d[17] - 5*d[18] + (17*d[19])/6 - (169*d[20])/6 + (37*d[21])/3 - 
       (67*d[22])/6 - (70*d[23])/3 - (809*d[24])/12 + (17*d[26])/6 + 
       5*d[27] - 4*d[31] - d[32] + 14*d[33] - 10*d[34] - 12*d[36])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (6*d[3] - 8*d[4] + 4*d[5] - d[6] + 4*d[7] - 5*d[8] + 2*d[9] - 3*d[10] + 
       10*d[11] + 6*d[12] + 6*d[13] - 2*d[14] - 9*d[15] + 10*d[16] - 
       7*d[17] + 9*d[18] + 5*d[19] + 7*d[20] + 18*d[21] + 5*d[22] - 6*d[23] - 
       10*d[24] + d[26] + d[27] - 2*d[32] + 2*d[34] - 12*d[36])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (8*d[15] - 8*d[19] - 5*d[20] - 8*d[21] - 8*d[22] + 6*d[23] + 15*d[24])*
      HPL[{0, 1}, 1 - v]^2*\[Zeta][2] + (-6*d[3] + 2*d[4] - (25*d[6])/2 + 
       32*d[10] - 2*d[11] + 8*d[12] + 2*d[15] - 7*d[17] + 10*d[18] - 
       3*d[19] - 40*d[20] - 3*d[21] - 2*d[22] + 24*d[23] + 80*d[24])*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (22*d[3] - (52*d[4])/3 - 5*d[5] + (124*d[6])/3 + 24*d[7] + 10*d[8] - 
       9*d[9] - 43*d[10] + 10*d[11] - d[12]/3 - 8*d[13] + 8*d[14] + 
       (20*d[15])/3 + 22*d[16] - (103*d[17])/3 + (179*d[18])/3 - 
       (50*d[19])/3 + 63*d[20] - (61*d[21])/3 - (40*d[22])/3 - (83*d[23])/6 - 
       (193*d[24])/4 - 2*d[27] - 4*d[31] - 6*d[32] + 8*d[33] - 4*d[34] - 
       24*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + (12*d[3] - (38*d[4])/3 - (31*d[5])/6 - (3*d[6])/2 + 
       (29*d[7])/6 + (53*d[8])/6 - (35*d[9])/3 + (83*d[10])/6 + 
       (119*d[11])/6 + 7*d[12] - 2*d[13] - 14*d[14] - (61*d[15])/6 - 
       (14*d[16])/3 - d[17] - 21*d[18] + (25*d[19])/6 + (19*d[20])/6 + 
       (65*d[21])/3 - (11*d[22])/6 - (20*d[23])/3 - (493*d[24])/12 - 
       d[27]/3 - 4*d[31] - d[32] + 6*d[33] - 2*d[34] - 12*d[36])*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     ((5*d[4])/6 - 12*d[5] + (77*d[6])/12 - 4*d[7] + 16*d[8] - 16*d[9] + 
       30*d[10] - 5*d[11] + (35*d[12])/6 - 8*d[13] + 8*d[14] + (11*d[15])/6 - 
       46*d[16] - (145*d[17])/6 + (91*d[18])/3 + (25*d[19])/6 - 2*d[20] - 
       (73*d[21])/6 - (5*d[22])/3 + (23*d[23])/6 - (153*d[24])/4 + d[26] + 
       4*d[27] + 8*d[33] - 8*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + ((-5*d[4])/6 + (77*d[5])/12 + 
       (79*d[6])/12 + (2*d[7])/3 - (22*d[8])/3 + (107*d[9])/12 - 
       (123*d[10])/4 + (23*d[11])/4 - (149*d[12])/12 - 11*d[14] + 
       (3*d[15])/2 + (61*d[16])/2 + (35*d[17])/2 - 35*d[18] - (15*d[19])/2 + 
       (89*d[20])/8 - (37*d[21])/4 + d[22]/2 - (25*d[23])/8 + 
       (171*d[24])/16 - (7*d[26])/3 - (7*d[27])/6 - 8*d[33] + 8*d[34] + 
       8*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + ((-4*d[2])/3 + (55*d[6])/24 + (5*d[10])/3 + (5*d[11])/3 - 
       (13*d[12])/3 - d[14] - (91*d[15])/12 - (10*d[16])/3 + (15*d[17])/2 - 
       15*d[18] + (97*d[19])/12 - (313*d[20])/24 + (157*d[21])/12 + 
       (97*d[22])/12 - (275*d[23])/24 - (1115*d[24])/48 - (5*d[26])/3)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (4*d[3] - 4*d[4] + d[5] - 7*d[6] + 3*d[7] - 4*d[8] - 3*d[10] + 3*d[11] + 
       2*d[12] + 6*d[13] - 2*d[14] - 9*d[15] + 10*d[16] - 7*d[17] + 9*d[18] + 
       5*d[19] + 7*d[20] + 18*d[21] + 5*d[22] - 6*d[23] - 10*d[24] - d[26] + 
       d[27] - 2*d[32] + 2*d[34] - 12*d[36])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + (4*d[4] - 5*d[5] - d[6] - 4*d[7] - 
       10*d[8] + 9*d[9] - 2*d[10] - 7*d[11] + 2*d[12] - 6*d[13] - 10*d[14] + 
       10*d[15] + 10*d[16] - 12*d[19] + 3*d[20] - 20*d[21] - 10*d[22] - 
       8*d[23] + 16*d[24] + d[26] - 4*d[27])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + (8*d[15] - 8*d[19] - 5*d[20] - 
       8*d[21] - 8*d[22] + 6*d[23] + 15*d[24])*HPL[{0, 1}, 1 - w]^2*
      \[Zeta][2] + (-2*d[3] - (37*d[6])/4 + 16*d[10] - 4*d[11] - 2*d[12] + 
       7*d[15] + 3*d[17] + 11*d[18] - 7*d[19] - 28*d[20] - 3*d[21] - 
       9*d[22] + 29*d[23] + 77*d[24])*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      \[Zeta][2] + (4*d[3] - 2*d[4] - 6*d[5] - (25*d[6])/4 - (17*d[7])/4 + 
       (11*d[8])/4 - (47*d[9])/4 + (15*d[10])/2 - (29*d[11])/2 - 
       (15*d[12])/4 + 8*d[13] + 8*d[14] + (55*d[15])/4 - 19*d[16] - 
       (17*d[17])/2 + 9*d[18] - (35*d[19])/4 - (31*d[20])/8 - (27*d[21])/4 - 
       (75*d[22])/4 + (31*d[23])/8 - (273*d[24])/16 + d[27] + 10*d[33] - 
       10*d[34] - 12*d[36])*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      \[Zeta][2] + (-2*d[2] + 4*d[3] - 4*d[4] - 2*d[5] - (47*d[6])/8 + d[7] + 
       18*d[8] - 11*d[9] + 6*d[10] + 9*d[11] + (19*d[12])/2 + 8*d[13] + 
       8*d[14] + (55*d[15])/4 - 19*d[16] - (17*d[17])/2 + 9*d[18] - 
       (35*d[19])/4 - (31*d[20])/8 - (27*d[21])/4 - (75*d[22])/4 + 
       (31*d[23])/8 - (273*d[24])/16 + d[26] + d[27] + 10*d[33] - 10*d[34] - 
       12*d[36])*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (4*d[4] + (7*d[6])/4 + d[10] + d[11] + 2*d[12] - (15*d[15])/2 - 
       2*d[16] - (49*d[17])/2 + 38*d[18] + (11*d[19])/2 - 11*d[20] - 
       (9*d[21])/2 + 13*d[22] + 10*d[23] + 25*d[24] - 8*d[26])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (2*d[3] - 5*d[5] - (35*d[6])/4 - (15*d[7])/4 - (47*d[8])/4 + 
       (43*d[9])/4 + (3*d[10])/2 - 24*d[11] - (7*d[12])/4 - 6*d[13] + 
       2*d[14] - (3*d[15])/4 + 7*d[16] + (19*d[17])/2 + d[18] + (7*d[19])/4 - 
       (71*d[20])/8 - (45*d[21])/4 + (23*d[22])/4 + (31*d[23])/8 + 
       (919*d[24])/16 + 4*d[26] - 2*d[27] - 2*d[31] + d[32] - 4*d[33] + 
       6*d[34])*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (-2*d[2] - (105*d[6])/8 + (3*d[10])/4 + (3*d[11])/4 - 4*d[12] - 
       10*d[14] - (7*d[15])/2 - (3*d[16])/2 - (9*d[17])/2 + d[18] + 
       (3*d[19])/2 + (97*d[20])/8 + (19*d[21])/4 + (3*d[22])/2 - 
       (57*d[23])/8 - (265*d[24])/16 + (9*d[26])/4)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + (-10*d[3] + (27*d[4])/2 - 3*d[5] + 
       (5*d[6])/4 - 3*d[7] - 7*d[8] - 2*d[9] - 7*d[10] - 9*d[11] + 
       (3*d[12])/2 - (15*d[15])/2 - 2*d[16] - (49*d[17])/2 + 38*d[18] + 
       (11*d[19])/2 - 11*d[20] - (9*d[21])/2 + 13*d[22] + 10*d[23] + 
       25*d[24] + 6*d[27])*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     (6*d[3] - (7*d[4])/2 + (7*d[5])/4 + (7*d[6])/4 + 4*d[7] + 5*d[8] - 
       (15*d[9])/4 + (17*d[10])/4 + (11*d[11])/4 + (21*d[12])/4 - 10*d[14] - 
       (7*d[15])/2 - (3*d[16])/2 - (9*d[17])/2 + d[18] + (3*d[19])/2 + 
       (97*d[20])/8 + (19*d[21])/4 + (3*d[22])/2 - (57*d[23])/8 - 
       (265*d[24])/16 + d[27]/2)*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      \[Zeta][2] + (-2*d[3] + 2*d[4] - 8*d[5] + (5*d[6])/8 + 3*d[7] - 
       11*d[8] + 7*d[9] + 3*d[10] - 11*d[11] - 17*d[12] - 6*d[13] + 2*d[14] - 
       (3*d[15])/4 + 7*d[16] + (19*d[17])/2 + d[18] + (7*d[19])/4 - 
       (71*d[20])/8 - (45*d[21])/4 + (23*d[22])/4 + (31*d[23])/8 + 
       (919*d[24])/16 + d[26] - 4*d[27] - 2*d[31] + d[32] - 4*d[33] + 
       6*d[34])*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     ((-8*d[4])/3 + (11*d[6])/3 - (14*d[12])/3 + (10*d[15])/3 + 
       (142*d[17])/3 - (164*d[18])/3 - (10*d[19])/3 + (34*d[21])/3 - 
       (32*d[22])/3 - (8*d[23])/3 + 12*d[24])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + ((8*d[4])/3 - (4*d[5])/3 - 10*d[6] - 
       d[7]/3 - d[8]/3 + (5*d[9])/3 + (14*d[10])/3 - (10*d[11])/3 + d[12] - 
       (19*d[15])/3 + (8*d[16])/3 - 6*d[17] + 12*d[18] + (7*d[19])/3 + 
       (4*d[20])/3 - (47*d[21])/3 + (7*d[22])/3 - (83*d[23])/6 - 
       (101*d[24])/12 - (8*d[27])/3)*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][2] + ((-5*d[6])/6 - (4*d[10])/3 - (4*d[11])/3 + (56*d[12])/3 - 
       (19*d[15])/3 + (8*d[16])/3 - 6*d[17] + 12*d[18] + (7*d[19])/3 + 
       (4*d[20])/3 - (47*d[21])/3 + (7*d[22])/3 - (83*d[23])/6 - 
       (101*d[24])/12 + (4*d[26])/3)*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][2] + (36*d[3] - (116*d[4])/3 - 22*d[5] + (5*d[6])/3 + 20*d[7] - 
       12*d[8] - 14*d[9] - 38*d[10] + 2*d[11] + (100*d[12])/3 - 8*d[13] - 
       8*d[14] + (130*d[15])/3 + 52*d[16] - (62*d[17])/3 + (94*d[18])/3 - 
       (190*d[19])/3 + 32*d[20] - (14*d[21])/3 - (248*d[22])/3 + 
       (64*d[23])/3 + 116*d[24] + 4*d[27] - 16*d[31] - 8*d[32] + 16*d[33] - 
       48*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     ((8*d[4])/3 - (4*d[5])/3 - 9*d[6] + (2*d[7])/3 + (2*d[8])/3 + 
       (2*d[9])/3 + (38*d[10])/3 - (28*d[11])/3 - 3*d[12] - 4*d[14] - 
       d[15]/3 + (8*d[16])/3 - 6*d[17] + 12*d[18] + d[19]/3 + (28*d[20])/3 - 
       (11*d[21])/3 + d[22]/3 + (55*d[23])/6 + (307*d[24])/12 - (8*d[27])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     (-24*d[3] + 24*d[4] + 12*d[5] + (7*d[6])/6 - 20*d[7] - 10*d[8] + 
       12*d[9] - (4*d[10])/3 - (58*d[11])/3 - d[12]/3 + 18*d[13] + 8*d[14] - 
       (25*d[15])/3 - (64*d[16])/3 + 12*d[17] + 2*d[18] + (55*d[19])/3 - 
       (68*d[20])/3 + (25*d[21])/3 + (67*d[22])/3 + (49*d[23])/6 - 
       (263*d[24])/12 + (4*d[26])/3 - 2*d[27] + 16*d[31] + 4*d[32] - 
       4*d[33] - 12*d[34] + 8*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
      \[Zeta][2] + (40*d[3] - (104*d[4])/3 - 28*d[5] - (13*d[6])/3 + 
       46*d[7] + 6*d[8] - 34*d[9] + 42*d[11] - (62*d[12])/3 - 8*d[13] - 
       8*d[14] + (130*d[15])/3 + 52*d[16] - (62*d[17])/3 + (94*d[18])/3 - 
       (190*d[19])/3 + 32*d[20] - (14*d[21])/3 - (248*d[22])/3 + 
       (64*d[23])/3 + 116*d[24] - 8*d[27] - 16*d[31] - 8*d[32] + 16*d[33] - 
       48*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (-26*d[3] + (80*d[4])/3 + (62*d[5])/3 - 4*d[6] - (16*d[7])/3 + 
       (50*d[8])/3 + (20*d[9])/3 + (26*d[10])/3 - (58*d[11])/3 + 9*d[12] + 
       18*d[13] + 8*d[14] - (25*d[15])/3 - (64*d[16])/3 + 12*d[17] + 
       2*d[18] + (55*d[19])/3 - (68*d[20])/3 + (25*d[21])/3 + (67*d[22])/3 + 
       (49*d[23])/6 - (263*d[24])/12 - (20*d[27])/3 + 16*d[31] + 4*d[32] - 
       4*d[33] - 12*d[34] + 8*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      \[Zeta][2] + (4*d[2] - (47*d[6])/6 - (4*d[10])/3 - (4*d[11])/3 + 
       (5*d[12])/3 - 4*d[14] - d[15]/3 + (8*d[16])/3 - 6*d[17] + 12*d[18] + 
       d[19]/3 + (28*d[20])/3 - (11*d[21])/3 + d[22]/3 + (55*d[23])/6 + 
       (307*d[24])/12 + (4*d[26])/3)*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      \[Zeta][2] + (2*d[4] - 7*d[6] + 4*d[12] - 12*d[14] - 7*d[15] - 
       10*d[17] + 10*d[18] + 2*d[19] + 12*d[20] + 4*d[22] - 2*d[23] + 
       6*d[24] + 5*d[26])*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (2*d[3] + 4*d[4] - 2*d[5] - 2*d[7] - 4*d[8] + 2*d[10] - 5*d[11] - 
       12*d[14] - 7*d[15] - 10*d[17] + 10*d[18] + 2*d[19] + 12*d[20] + 
       4*d[22] - 2*d[23] + 6*d[24] + 2*d[27])*HPL[{0, 0, 0, 1}, 1 - w]*
      \[Zeta][2] + (-4*d[3] + 4*d[4] + 4*d[5] - 12*d[9] + 6*d[11] - 6*d[12] + 
       4*d[13] - 6*d[15] + 6*d[16] - 26*d[17] + 40*d[18] + 4*d[19] + 
       16*d[20] - 16*d[21] + 4*d[22] + 4*d[23] - 34*d[24] - 4*d[26] + 
       4*d[31] - 2*d[32] - 4*d[34])*HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2] + 
     (4*d[3] + 20*d[4] + 8*d[5] - 14*d[6] + 28*d[8] - 4*d[9] + 4*d[10] - 
       12*d[11] + 4*d[12] + 4*d[13] - 6*d[15] + 6*d[16] - 26*d[17] + 
       40*d[18] + 4*d[19] + 16*d[20] - 16*d[21] + 4*d[22] + 4*d[23] - 
       34*d[24] - 4*d[27] + 4*d[31] - 2*d[32] - 4*d[34])*
      HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (48*d[3] - 48*d[4] - 48*d[5] + 36*d[6] + 60*d[7] + 78*d[8] - 84*d[9] + 
       12*d[10] - 18*d[11] + 18*d[12] - 24*d[13] + 51*d[15] - 30*d[16] - 
       12*d[17] + 60*d[18] - 72*d[19] - 9*d[20] - 18*d[21] - 108*d[22] + 
       6*d[23] + 51*d[24] + 6*d[27] - 24*d[31] - 12*d[32] + 36*d[33] - 
       12*d[34] - 72*d[36])*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2] + 
     (48*d[3] - 48*d[4] - 54*d[5] + 30*d[6] + 30*d[7] + 36*d[8] - 72*d[9] + 
       42*d[10] + 42*d[11] + 42*d[12] - 24*d[13] + 51*d[15] - 30*d[16] - 
       12*d[17] + 60*d[18] - 72*d[19] - 9*d[20] - 18*d[21] - 108*d[22] + 
       6*d[23] + 51*d[24] + 6*d[27] - 24*d[31] - 12*d[32] + 36*d[33] - 
       12*d[34] - 72*d[36])*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2] + 
     ((-24*d[4])/5 - (12*d[6])/5 - (24*d[12])/5 + (24*d[15])/5 + 
       (312*d[17])/5 - 72*d[18] - (24*d[19])/5 + (72*d[21])/5 - 
       (72*d[22])/5 + (96*d[24])/5)*HPL[{1}, 1 - u]^2*\[Zeta][2]^2 + 
     ((-12*d[5])/5 - (114*d[6])/5 - (6*d[7])/5 - (6*d[8])/5 + (18*d[9])/5 + 
       (36*d[10])/5 - (24*d[11])/5 - (24*d[12])/5 + (36*d[15])/5 + 
       (24*d[16])/5 + (96*d[17])/5 - (72*d[18])/5 - (36*d[19])/5 - 
       (54*d[20])/5 - (24*d[21])/5 - 12*d[22] + (6*d[23])/5 + (122*d[24])/5 - 
       (24*d[27])/5)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][2]^2 + 
     ((24*d[4])/5 - (12*d[5])/5 - (6*d[6])/5 - (12*d[7])/5 - (12*d[8])/5 + 
       (24*d[9])/5 + (36*d[10])/5 - (48*d[11])/5 + (32*d[15])/5 + 
       (24*d[16])/5 - (48*d[17])/5 + (96*d[18])/5 - (32*d[19])/5 - 
       (17*d[20])/2 - (68*d[21])/5 - (32*d[22])/5 - (3*d[23])/5 + 
       (231*d[24])/10 - (24*d[27])/5)*HPL[{1}, 1 - v]^2*\[Zeta][2]^2 + 
     ((-102*d[6])/5 - (12*d[10])/5 - (12*d[11])/5 + (102*d[12])/5 + 
       (36*d[15])/5 + (24*d[16])/5 + (96*d[17])/5 - (72*d[18])/5 - 
       (36*d[19])/5 - (54*d[20])/5 - (24*d[21])/5 - 12*d[22] + (6*d[23])/5 + 
       (122*d[24])/5 + (12*d[26])/5)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      \[Zeta][2]^2 + ((-12*d[6])/5 + (6*d[7])/5 + (6*d[8])/5 - (6*d[9])/5 + 
       12*d[10] + (12*d[11])/5 + 6*d[12] - 8*d[13] - 4*d[16] - (96*d[17])/5 + 
       (192*d[18])/5 - (16*d[19])/5 - (132*d[20])/5 - (44*d[23])/5 + 
       (96*d[24])/5 - (8*d[28])/5 - (4*d[29])/5 + 8*d[30])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*\[Zeta][2]^2 + ((-4*d[2])/5 - (18*d[6])/5 - 
       (12*d[10])/5 - (12*d[11])/5 + (42*d[12])/5 + (32*d[15])/5 + 
       (24*d[16])/5 - (48*d[17])/5 + (96*d[18])/5 - (32*d[19])/5 - 
       (17*d[20])/2 - (68*d[21])/5 - (32*d[22])/5 - (3*d[23])/5 + 
       (231*d[24])/10 + (12*d[26])/5)*HPL[{1}, 1 - w]^2*\[Zeta][2]^2 + 
     ((16*d[4])/5 - 8*d[13] - 4*d[16] - (16*d[19])/5 - (32*d[23])/5 + 
       8*d[24] - (8*d[28])/5 - (4*d[29])/5 + 8*d[30])*HPL[{0, 1}, 1 - v]*
      \[Zeta][2]^2 + ((32*d[2])/5 + 4*d[11] + 8*d[12] - 8*d[13] - 4*d[16] - 
       (16*d[19])/5 - (32*d[23])/5 + 8*d[24] - (8*d[28])/5 - (4*d[29])/5 + 
       8*d[30])*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2 + 
     ((8*d[4])/3 - (8*d[6])/3 + (8*d[12])/3 - (4*d[15])/3 - (100*d[17])/3 + 
       (116*d[18])/3 + (4*d[19])/3 - (28*d[21])/3 + (20*d[22])/3 + 
       (8*d[23])/3 - 8*d[24])*HPL[{1}, 1 - u]^3*\[Zeta][3] + 
     (2*d[3] - (8*d[4])/3 + (4*d[5])/3 + (31*d[6])/4 + d[7]/3 + d[8]/3 - 
       (5*d[9])/3 - (8*d[10])/3 + (10*d[11])/3 + (5*d[12])/2 - (43*d[15])/6 - 
       (8*d[16])/3 - 10*d[17] + 8*d[18] + (49*d[19])/6 + (91*d[20])/6 + 
       (55*d[21])/6 + (61*d[22])/6 - (29*d[23])/3 - (479*d[24])/24 + 
       (8*d[27])/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][3] + 
     (-d[3] + (8*d[4])/3 + (53*d[6])/6 + 2*d[10] - d[11] + (5*d[12])/3 - 
       2*d[14] - (7*d[15])/3 - (19*d[17])/3 + (23*d[18])/3 + (7*d[19])/3 - 
       d[20]/2 - d[21]/3 + (5*d[22])/3 + (31*d[23])/6 + (9*d[24])/4)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][3] + 
     ((-8*d[4])/3 + (4*d[5])/3 + d[6] + (7*d[7])/12 + (7*d[8])/12 - 
       (23*d[9])/12 - (14*d[10])/3 + (41*d[11])/6 + (3*d[12])/2 + 
       (4*d[14])/3 - d[15]/6 - (8*d[16])/3 + 4*d[17] - 8*d[18] + d[19]/6 - 
       d[20]/12 + (25*d[21])/6 + d[22]/6 - (11*d[23])/12 - (31*d[24])/8 + 
       (8*d[27])/3)*HPL[{1}, 1 - v]^3*\[Zeta][3] + 
     ((139*d[6])/12 + (4*d[10])/3 + (4*d[11])/3 - (49*d[12])/6 - 
       (43*d[15])/6 - (8*d[16])/3 - 10*d[17] + 8*d[18] + (49*d[19])/6 + 
       (91*d[20])/6 + (55*d[21])/6 + (61*d[22])/6 - (29*d[23])/3 - 
       (479*d[24])/24 - (4*d[26])/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      \[Zeta][3] + (-2*d[4] + d[5] + (19*d[6])/2 - d[7] - d[8] - 3*d[10] + 
       6*d[11] + 2*d[12] + 6*d[13] - 4*d[14] - 12*d[15] + 3*d[16] - 2*d[17] - 
       8*d[18] + 12*d[19] + (45*d[20])/2 + 20*d[21] + 16*d[22] - 14*d[23] - 
       (97*d[24])/2 - 2*d[26] + 2*d[27] + 4*d[30] - 2*d[33] + 2*d[34])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (d[4] + d[5] + d[6]/12 + d[7] - (7*d[8])/2 + 2*d[9] + (65*d[10])/6 - 
       (5*d[11])/3 - (23*d[12])/12 - d[13]/2 - d[14]/2 + (41*d[15])/6 - 
       (25*d[16])/6 + 6*d[17] - 12*d[18] - (19*d[19])/3 + (205*d[20])/24 - 
       (25*d[21])/3 - (35*d[22])/6 - (25*d[23])/6 + (11*d[24])/3 + 
       (2*d[26])/3 - (3*d[27])/2 - d[30] - d[33]/2 + d[34]/2)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (2*d[2] - (4*d[4])/3 + (13*d[6])/3 - (19*d[12])/3 - 2*d[14] - 
       (7*d[15])/3 - (19*d[17])/3 + (23*d[18])/3 + (7*d[19])/3 - d[20]/2 - 
       d[21]/3 + (5*d[22])/3 + (31*d[23])/6 + (9*d[24])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*\[Zeta][3] + ((4*d[4])/3 + (5*d[5])/6 + (19*d[6])/4 - 
       (11*d[7])/12 - (29*d[8])/12 + (49*d[9])/12 - (14*d[10])/3 - 
       (19*d[11])/6 - 4*d[12] - d[13]/2 - d[14]/2 + (41*d[15])/6 - 
       (25*d[16])/6 + 6*d[17] - 12*d[18] - (19*d[19])/3 + (205*d[20])/24 - 
       (25*d[21])/3 - (35*d[22])/6 - (25*d[23])/6 + (11*d[24])/3 + d[26]/2 - 
       (11*d[27])/6 - d[30] - d[33]/2 + d[34]/2)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*\[Zeta][3] + (-d[2] + 2*d[6] + (4*d[10])/3 + 
       (4*d[11])/3 - (5*d[12])/12 + (4*d[14])/3 - d[15]/6 - (8*d[16])/3 + 
       4*d[17] - 8*d[18] + d[19]/6 - d[20]/12 + (25*d[21])/6 + d[22]/6 - 
       (11*d[23])/12 - (31*d[24])/8 - (4*d[26])/3)*HPL[{1}, 1 - w]^3*
      \[Zeta][3] + (2*d[3] + (14*d[4])/3 - (29*d[6])/3 + 8*d[10] - 2*d[11] + 
       (14*d[12])/3 - (4*d[15])/3 - (196*d[17])/3 + (248*d[18])/3 + 
       (4*d[19])/3 - 14*d[20] - (52*d[21])/3 + (32*d[22])/3 + (56*d[23])/3 + 
       22*d[24])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     ((-14*d[4])/3 - (2*d[5])/3 + (5*d[6])/2 - (2*d[7])/3 + (19*d[8])/3 - 
       (20*d[9])/3 - (14*d[10])/3 + (19*d[11])/3 + 2*d[12] + 10*d[14] - 
       (20*d[15])/3 - (59*d[16])/3 + 10*d[17] - 20*d[18] + (17*d[19])/3 - 
       (17*d[20])/6 + (65*d[21])/3 + (11*d[22])/3 + (17*d[23])/6 - 
       (52*d[24])/3 - d[26] + (17*d[27])/3 + d[32] + 2*d[33] - 4*d[34] - 
       8*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     (2*d[2] - 2*d[4] - 2*d[5] + (10*d[6])/3 - 2*d[7] + 3*d[8] - 4*d[9] + 
       (25*d[10])/3 + (13*d[11])/3 - (44*d[12])/3 + 10*d[14] - (20*d[15])/3 - 
       (59*d[16])/3 + 10*d[17] - 20*d[18] + (17*d[19])/3 - (17*d[20])/6 + 
       (65*d[21])/3 + (11*d[22])/3 + (17*d[23])/6 - (52*d[24])/3 - 
       (7*d[26])/3 + 3*d[27] + d[32] + 2*d[33] - 4*d[34] - 8*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     ((14*d[4])/3 + 2*d[5] + (88*d[6])/3 + (7*d[7])/2 - (11*d[8])/2 - 
       (3*d[9])/2 - 2*d[10] + 5*d[11] + (29*d[12])/3 + 6*d[13] - 4*d[14] - 
       (16*d[15])/3 + 8*d[16] - (64*d[17])/3 + (80*d[18])/3 + (10*d[19])/3 + 
       6*d[20] + (32*d[21])/3 + (32*d[22])/3 - (40*d[23])/3 - (49*d[24])/2 - 
       2*d[26] + d[27] + 4*d[30] - d[32] - 2*d[33] + 2*d[34])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*\[Zeta][3] + ((-14*d[4])/3 + (16*d[5])/3 + d[6] + 
       (11*d[7])/6 - (31*d[8])/6 + (5*d[9])/6 - (44*d[10])/3 + (28*d[11])/3 + 
       4*d[13] - (8*d[15])/3 + (28*d[16])/3 + 10*d[17] - 20*d[18] + 
       (11*d[19])/3 + (23*d[20])/3 + (23*d[21])/3 + (23*d[22])/3 + 
       (19*d[23])/3 + d[24]/6 + d[26] + (11*d[27])/3 - d[32] - 2*d[33] + 
       4*d[34] + 4*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][3] + 
     (4*d[4] - 7*d[5] + (22*d[6])/3 - d[7]/2 + (11*d[8])/2 - d[9]/2 + 
       (22*d[10])/3 - (23*d[11])/3 - (55*d[12])/6 - 4*d[13] + 2*d[14] + 
       (46*d[15])/3 - (71*d[16])/3 + 12*d[17] - 38*d[18] - (49*d[19])/3 + 
       (20*d[20])/3 - (37*d[21])/3 - (55*d[22])/3 - (53*d[23])/3 - 
       (295*d[24])/12 - d[26]/3 - 2*d[27] - 4*d[30] + d[32] + 4*d[33] - 
       4*d[34])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][3] + 
     (-6*d[3] - (40*d[4])/3 + 6*d[5] + (82*d[6])/3 + (7*d[7])/2 + 
       (5*d[8])/2 + d[9]/2 - 25*d[10] + 18*d[11] - (19*d[12])/3 + 6*d[13] - 
       4*d[14] - (16*d[15])/3 + 8*d[16] - (64*d[17])/3 + (80*d[18])/3 + 
       (10*d[19])/3 + 6*d[20] + (32*d[21])/3 + (32*d[22])/3 - (40*d[23])/3 - 
       (49*d[24])/2 + d[27] + 4*d[30] - d[32] - 2*d[33] + 2*d[34])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][3] + 
     (2*d[3] - (14*d[4])/3 - (23*d[5])/3 + (13*d[6])/2 - (32*d[7])/3 - 
       (20*d[8])/3 + (7*d[9])/3 + (22*d[10])/3 - (5*d[11])/3 + 14*d[12] - 
       4*d[13] + 2*d[14] + (46*d[15])/3 - (71*d[16])/3 + 12*d[17] - 
       38*d[18] - (49*d[19])/3 + (20*d[20])/3 - (37*d[21])/3 - (55*d[22])/3 - 
       (53*d[23])/3 - (295*d[24])/12 + d[26] + (20*d[27])/3 - 4*d[30] + 
       d[32] + 4*d[33] - 4*d[34])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      \[Zeta][3] + (2*d[4] + 2*d[5] + (29*d[6])/6 + 2*d[7] - 3*d[8] + 
       4*d[9] - (11*d[10])/3 + d[11]/3 - (67*d[12])/6 + 4*d[13] - 
       (8*d[15])/3 + (28*d[16])/3 + 10*d[17] - 20*d[18] + (11*d[19])/3 + 
       (23*d[20])/3 + (23*d[21])/3 + (23*d[22])/3 + (19*d[23])/3 + d[24]/6 - 
       (7*d[26])/3 - 3*d[27] - d[32] - 2*d[33] + 4*d[34] + 4*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][3] + 
     (-2*d[2] - 2*d[3] + 4*d[4] - 2*d[6] - 2*d[9] - 2*d[10] - 3*d[11] + 
       2*d[14] - 2*d[15] + 2*d[16] + 7*d[17] - 21*d[18] - 3*d[19] - 2*d[20] - 
       d[22] - 2*d[23] + 19*d[24] + 2*d[26] - 2*d[31] - d[32] - 2*d[34])*
      HPL[{0, 0, 1}, 1 - v]*\[Zeta][3] + 
     (2*d[3] + 10*d[4] - 5*d[5] - 2*d[6] + d[7] - 12*d[8] + 4*d[9] + 
       3*d[10] - 9*d[11] + 2*d[14] - 2*d[15] + 2*d[16] + 7*d[17] - 21*d[18] - 
       3*d[19] - 2*d[20] - d[22] - 2*d[23] + 19*d[24] + 3*d[27] - 2*d[31] - 
       d[32] - 2*d[34])*HPL[{0, 0, 1}, 1 - w]*\[Zeta][3] + 
     (-4*d[4] - 12*d[5] - 3*d[7] - 11*d[8] + 9*d[9] + 8*d[10] - 26*d[11] - 
       4*d[12] - 6*d[13] - 6*d[14] + 12*d[15] - 22*d[16] + 10*d[17] + 
       22*d[18] - 20*d[19] + 9*d[20] - 14*d[21] - 28*d[22] + 8*d[23] + 
       56*d[24] + 2*d[26] + 8*d[27] + 2*d[32] + 4*d[33] - 8*d[34] - 8*d[36])*
      HPL[{0, 1, 1}, 1 - v]*\[Zeta][3] + (-4*d[2] + 6*d[4] - 12*d[5] + 
       6*d[6] + 15*d[7] + 9*d[8] - 15*d[9] + 6*d[10] - 2*d[11] + 2*d[12] - 
       6*d[13] - 6*d[14] + 12*d[15] - 22*d[16] + 10*d[17] + 22*d[18] - 
       20*d[19] + 9*d[20] - 14*d[21] - 28*d[22] + 8*d[23] + 56*d[24] - 
       2*d[26] - 2*d[27] + 2*d[32] + 4*d[33] - 8*d[34] - 8*d[36])*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][3] + (-20*d[6] - 4*d[14] - 20*d[15] + 
       9*d[16] + 14*d[19] + 2*d[20] + 26*d[21] + 14*d[22] + 2*d[24] + 
       2*d[29] + 2*d[32] - 4*d[34])*HPL[{1}, 1 - v]*\[Zeta][2]*\[Zeta][3] + 
     (-20*d[6] - 2*d[10] - 4*d[14] - 20*d[15] + 9*d[16] + 14*d[19] + 
       2*d[20] + 26*d[21] + 14*d[22] + 2*d[24] + 2*d[29] + 2*d[32] - 4*d[34])*
      HPL[{1}, 1 - w]*\[Zeta][2]*\[Zeta][3] + 
     (60*d[6] + 60*d[15] - (15*d[16])/2 - 47*d[19] - 53*d[21] - 55*d[22] - 
       23*d[24] - d[29] + d[32] - 2*d[34])*HPL[{1}, 1 - v]*\[Zeta][5] + 
     (60*d[6] - d[10] + 60*d[15] - (15*d[16])/2 - 47*d[19] - 53*d[21] - 
       55*d[22] - 23*d[24] - d[29] + d[32] - 2*d[34])*HPL[{1}, 1 - w]*
      \[Zeta][5]
 

DuvwCoproductEntries[1 - v] = B11[v, w, u]*d[1] + B3[w, u, v]*d[1] + 
     B2[w, v, u]*d[11] + B5[v, u, w]*(d[5] - 2*d[9] + d[10] - d[16]) + 
     B6[w, u, v]*(d[17]/2 - d[18]/2) + B6[v, u, w]*(d[5] - d[9] + d[10]/2 - 
       d[16] - d[17] + d[18]) - 4*B10[v, w, u]*d[21] + 
     B8[w, u, v]*(d[15]/2 - d[17]/2 + (3*d[18])/2 - d[19] - d[21] - d[22]) + 
     B7[u, v, w]*(-d[4] + d[21] - d[22]) + B7[v, w, u]*
      (-d[16]/2 - (3*d[24])/2) + B5[w, u, v]*(d[16]/2 + d[24]/2) + 
     B10[u, v, w]*(-2*d[9] - d[11] + d[16] + d[24]) + 
     B11[u, v, w]*(d[1] - d[10] + d[16] - d[19] - d[22] + 2*d[24]) + 
     B5[u, v, w]*(-d[21] + 3*d[24]) + B7[w, u, v]*(-d[19] - d[22] + 
       3*d[24]) + B9[w, u, v]*d[25] + B8[u, v, w]*(-d[4] - d[6]/2 + d[17]/2 - 
       (3*d[18])/2 - d[22] + d[26]/2) + B6[w, v, u]*d[26] + 
     B6[u, w, v]*(d[9] + d[31]) + B6[v, w, u]*(d[17] - d[18] + d[32]/2) + 
     B5[v, w, u]*d[32] + B10[w, u, v]*(3*d[11] - 2*d[24] + d[32]) + 
     B5[u, w, v]*(d[3] - d[4] + d[9] + d[11] + d[34]) + 
     (-d[3]/8 - (13*d[6])/24 - d[10]/4 + d[11]/16 + d[12]/4 - d[13]/4 + 
       d[14]/4 + (37*d[15])/12 - d[16]/4 - (7*d[17])/4 + (21*d[18])/8 - 
       (37*d[19])/12 - (89*d[20])/32 - (43*d[21])/12 - (17*d[22])/6 + 
       (149*d[23])/48 + (649*d[24])/96)*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2 + 
     (-d[3]/12 + d[4]/4 - (11*d[5])/24 + (5*d[6])/8 - d[7]/12 + d[8]/3 - 
       (17*d[9])/24 - d[10]/8 - (7*d[11])/12 + d[12]/12 + d[14]/3 - d[15]/3 - 
       (5*d[16])/12 + (11*d[17])/12 - d[18]/6 + (5*d[19])/12 + 
       (263*d[20])/192 + (3*d[21])/8 + d[22]/4 + (43*d[23])/96 - 
       (277*d[24])/192 + d[31]/12 + d[32]/24 + d[33]/6 - d[34]/4 + d[36]/4)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3 + 
     (-d[3]/3 + d[4]/2 - (23*d[5])/48 - d[6]/6 - (13*d[7])/96 + 
       (77*d[8])/96 - (15*d[9])/32 + (9*d[10])/8 - (9*d[11])/8 - d[12]/8 + 
       (7*d[13])/24 - (5*d[14])/24 + (5*d[15])/6 - (49*d[16])/24 + 
       (5*d[17])/6 - d[18]/12 - d[19]/3 + d[20]/96 - (25*d[21])/24 - 
       (5*d[22])/8 - (5*d[23])/48 - (13*d[24])/16 + d[26]/12 - d[27]/48 + 
       d[31]/6 + d[32]/12 + (7*d[33])/24 - (11*d[34])/24 + d[36]/2)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4 + 
     (d[11]*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/12 + 
     (-d[2]/9 + d[3]/9 + (5*d[4])/6 + d[5]/9 + (29*d[6])/72 + d[7]/3 - 
       (2*d[8])/9 + d[9]/3 - (3*d[10])/4 + d[11]/18 - (13*d[12])/18 - 
       d[13]/36 + (5*d[14])/12 - (13*d[15])/6 + (31*d[16])/18 - 
       (33*d[17])/8 + (203*d[18])/72 + (23*d[19])/12 - (149*d[20])/36 - 
       d[21]/3 + (107*d[22])/36 - (13*d[23])/4 - (97*d[24])/16 - d[26]/18 - 
       (5*d[27])/9 - d[31]/9 - d[32]/36 - (2*d[33])/9 + d[34]/3)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w] + 
     (-d[2]/6 - (7*d[3])/18 - (25*d[4])/36 + (47*d[5])/24 + (31*d[6])/36 + 
       (17*d[7])/24 - (23*d[8])/24 + (2*d[9])/9 - (97*d[10])/24 + 
       (71*d[11])/24 - (47*d[12])/24 - (11*d[13])/12 + d[14] - 
       (29*d[15])/72 + 2*d[16] + (107*d[17])/72 - (527*d[18])/72 + 
       (5*d[19])/72 + (625*d[20])/48 + (11*d[21])/9 + (77*d[22])/72 + 
       (65*d[23])/12 - (53*d[24])/16 - d[26]/9 + (3*d[27])/4 + (2*d[31])/9 + 
       (5*d[32])/36 - d[33] + (7*d[34])/9 + d[36]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w] + 
     (-d[7]/3 - d[8]/3 + d[9]/3 + d[10]/2 + d[11]/12 + d[13]/6 - 
       (13*d[14])/12 - d[15]/2 + d[19]/2 + (5*d[20])/16 + d[21]/2 + d[22]/2 - 
       (25*d[23])/24 + (11*d[24])/48)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w] + d[14]*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w] + 
     ((3*d[6])/8 - d[12]/2 + d[13]/4 - d[14]/4 + d[16]/4 + d[17]/8 + 
       (3*d[18])/8 + (3*d[20])/4 + d[23]/4)*HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - w]^2 + (-d[3]/18 + (23*d[4])/36 - (3*d[5])/4 - 
       (11*d[6])/36 - (3*d[7])/16 + (15*d[8])/16 - (169*d[9])/144 + 
       (5*d[10])/12 - (95*d[11])/72 + (2*d[12])/3 - d[13]/6 + d[14]/2 + 
       (19*d[15])/72 - (97*d[16])/72 + (13*d[17])/72 + (11*d[18])/72 + 
       d[19]/12 - (233*d[20])/192 - (11*d[21])/8 + d[22]/6 - d[23]/96 - 
       (595*d[24])/576 + (17*d[26])/72 - d[27]/8 + d[31]/18 + d[32]/18 + 
       d[33]/4 - (11*d[34])/36)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2 + ((-19*d[2])/36 - d[3]/4 - d[4]/6 + (5*d[5])/3 - 
       (13*d[6])/24 + (11*d[7])/24 + (3*d[8])/8 - (7*d[9])/8 - d[10] + 
       d[11]/2 - (31*d[12])/8 + d[13]/12 - (7*d[14])/12 - (7*d[15])/12 + 
       (8*d[16])/3 + (5*d[17])/12 - 4*d[18] + (5*d[19])/12 + (37*d[20])/12 + 
       (7*d[21])/12 + (19*d[22])/12 + (187*d[23])/48 - (11*d[24])/12 - 
       d[26]/4 + (5*d[27])/12 + d[31]/6 + d[32]/12 - d[33] + (5*d[34])/6 + 
       d[36]/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2 + 
     ((-2*d[3])/9 - (13*d[4])/36 + (19*d[5])/8 + (107*d[6])/72 + (5*d[7])/3 - 
       (85*d[8])/24 + (205*d[9])/72 - (137*d[10])/36 + (41*d[11])/24 - 
       (17*d[12])/8 + (47*d[15])/9 + (155*d[16])/36 + (161*d[17])/72 - 
       (347*d[18])/72 - (211*d[19])/36 - (67*d[20])/48 - (95*d[21])/18 - 
       (163*d[22])/36 + (29*d[23])/24 + (94*d[24])/9 - (7*d[26])/36 + 
       (7*d[27])/24 + d[31]/18 + d[32]/18 - (17*d[33])/12 + (49*d[34])/36 + 
       d[36]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2 + 
     ((-7*d[3])/12 + (5*d[4])/8 + (13*d[5])/48 - d[6]/24 - (37*d[7])/96 - 
       (49*d[8])/96 + (9*d[9])/32 - (7*d[10])/16 + (3*d[11])/8 - d[12]/8 - 
       d[13]/12 + (7*d[14])/24 - (23*d[15])/48 + (5*d[16])/24 - d[17]/24 - 
       (23*d[18])/24 + (29*d[19])/48 - (29*d[20])/24 + (5*d[21])/24 + 
       (15*d[22])/16 - d[23]/24 - (27*d[24])/32 - d[26]/24 - d[27]/12 + 
       d[31]/6 + d[32]/12 - d[33]/3 + d[34]/6 + (5*d[36])/4)*
      HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2 + 
     ((-3*d[6])/8 + (7*d[12])/8 - d[13]/2 + d[14]/2 + d[15]/4 - d[16]/2 - 
       d[17]/8 - d[18]/8 - d[19]/4 - (5*d[20])/4 - d[21]/4 - d[22]/4 - 
       (5*d[23])/8 - d[24]/4)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^3 + 
     (-d[2]/18 - d[3]/2 + d[4]/6 + d[5]/8 + (5*d[6])/72 - (7*d[7])/32 - 
       (23*d[8])/32 + (139*d[9])/288 + (113*d[11])/144 - (7*d[12])/24 + 
       (5*d[13])/12 - d[14]/4 + (25*d[15])/72 + d[16]/4 + (25*d[17])/72 - 
       (49*d[18])/72 - (25*d[19])/72 - (19*d[20])/192 - d[21]/8 - 
       (49*d[22])/72 - (59*d[23])/96 - (415*d[24])/576 - d[26]/18 + d[31]/4 + 
       (13*d[32])/72 - d[34]/4 + (3*d[36])/4)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3 + 
     ((7*d[2])/27 - (11*d[4])/18 - (5*d[5])/9 + (5*d[6])/18 - d[7]/3 + 
       (7*d[8])/9 - (5*d[9])/6 + (29*d[10])/18 - d[11]/36 - (365*d[12])/72 - 
       d[13]/12 - (17*d[14])/12 + (2*d[15])/3 - (43*d[16])/18 + 
       (31*d[17])/36 - (47*d[18])/36 - (7*d[19])/36 - (211*d[20])/36 + 
       (2*d[21])/9 - (37*d[22])/36 + (23*d[23])/72 - (359*d[24])/144 + 
       d[26]/9 + (4*d[27])/9 + d[32]/18 + (4*d[33])/9 - (4*d[34])/9)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3 + 
     (d[3]/12 + d[4]/3 - (13*d[5])/12 - (11*d[6])/24 + (43*d[7])/96 + 
       (155*d[8])/96 - (49*d[9])/32 + (5*d[10])/24 - (31*d[11])/16 + 
       (2*d[12])/3 + d[13]/6 - (11*d[14])/8 + (31*d[15])/24 - (29*d[16])/24 + 
       d[17]/24 + (29*d[18])/24 - (25*d[19])/24 - (287*d[20])/192 - 
       (41*d[21])/24 - (13*d[22])/8 + (15*d[23])/32 + (271*d[24])/192 + 
       d[26]/8 - d[27]/4 + d[31]/12 + d[32]/24 + (7*d[33])/12 - (2*d[34])/3 - 
       d[36]/2)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3 + 
     ((-3*d[12])/8 + d[13]/4 - d[14]/4 - d[15]/4 + d[16]/4 - d[18]/4 + 
       d[19]/4 + d[20]/2 + d[21]/4 + d[22]/4 + (3*d[23])/8 + d[24]/4)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4 + 
     (d[1]/72 + (5*d[2])/72 + d[11]/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^4 + (d[2]/24 + d[5]/8 - d[6]/3 + (3*d[7])/32 - 
       (5*d[8])/32 + (5*d[9])/32 - d[11]/16 + (19*d[12])/16 - d[13]/8 - 
       (7*d[14])/8 - (37*d[15])/12 - d[16]/4 + d[17]/2 - d[18]/4 + 
       (37*d[19])/12 - (73*d[20])/32 + (37*d[21])/12 + (37*d[22])/12 - 
       (239*d[23])/48 - (77*d[24])/12)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4 + 
     ((-7*d[6])/6 + d[12] - d[15]/6 - d[17]/2 - d[18] + d[19]/6 - d[20] + 
       d[21]/6 + d[22]/6 - d[23]/3 + (2*d[24])/3)*HPL[{1}, 1 - u]^4*
      HPL[{0, 1}, 1 - u] + ((-3*d[2])/4 + d[3]/3 - (5*d[4])/6 + 
       (17*d[5])/12 + (97*d[6])/24 + d[7]/24 - (17*d[8])/24 + (19*d[9])/8 + 
       d[10] + (7*d[11])/2 - (11*d[12])/6 - d[13]/6 - (2*d[14])/3 - d[15]/2 - 
       d[16]/12 + d[17]/12 - (5*d[18])/3 + d[19]/6 + (229*d[20])/48 + 
       2*d[21] + d[22]/2 + (17*d[23])/24 - (9*d[24])/16 - d[26]/3 + 
       (7*d[27])/12 - d[31]/6 - d[32]/12 - d[33]/6 + d[34]/3 - d[36]/2)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u] + 
     (d[2] - 2*d[3] + (3*d[4])/2 + (13*d[5])/8 + (23*d[6])/72 - d[7]/8 + 
       (15*d[8])/8 - d[9]/2 - d[10]/4 - (13*d[11])/8 - 3*d[12] + 
       (7*d[13])/6 + d[14]/12 + (1187*d[15])/72 - (10*d[16])/3 + 
       (13*d[17])/12 + (13*d[18])/8 - (1079*d[19])/72 - (409*d[20])/48 - 
       (625*d[21])/36 - (989*d[22])/72 + (311*d[23])/36 + (3059*d[24])/144 - 
       (3*d[26])/8 + d[27]/4 + d[31] + d[32]/2 - d[33] + 3*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     (-d[2]/4 + (7*d[3])/9 - d[4]/6 - (203*d[5])/72 - (19*d[6])/36 + 
       (5*d[7])/36 - (53*d[8])/72 - (29*d[9])/24 + (2*d[10])/3 - 
       (8*d[11])/3 + (13*d[12])/4 - (5*d[13])/36 - (11*d[14])/36 - 
       (149*d[15])/72 + (37*d[16])/72 + (7*d[17])/72 + (239*d[18])/72 + 
       (29*d[19])/18 + (1469*d[20])/288 + (8*d[21])/9 + (7*d[22])/12 + 
       (701*d[23])/144 + (213*d[24])/32 + (29*d[26])/36 - (25*d[27])/72 - 
       (7*d[31])/18 - (7*d[32])/36 + (55*d[33])/36 - (41*d[34])/36 - 
       (7*d[36])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u] + 
     ((-2*d[3])/3 + d[4] - (2*d[5])/3 - d[6]/3 - (19*d[7])/48 + 
       (113*d[8])/48 - (23*d[9])/16 + 3*d[10] - (19*d[11])/8 - d[12]/4 + 
       (7*d[13])/12 - d[14]/6 + (5*d[15])/3 - (67*d[16])/12 + (5*d[17])/3 - 
       d[18]/6 - (5*d[19])/12 - (11*d[20])/48 - (11*d[21])/6 - (5*d[22])/4 + 
       d[23]/24 - (17*d[24])/8 + d[26]/6 + d[27]/12 + d[31]/3 + d[32]/6 + 
       (5*d[33])/6 - (7*d[34])/6 + d[36])*HPL[{1}, 1 - v]^4*
      HPL[{0, 1}, 1 - u] + (d[6]/6 - (5*d[11])/6 - d[12] + d[15]/6 - 
       d[17]/2 + 2*d[18] - d[19]/6 + d[20] - d[21]/6 - d[22]/6 + d[23]/3 - 
       (2*d[24])/3)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (d[2]/2 - (4*d[3])/3 + (5*d[4])/6 + d[5] - (21*d[6])/4 - (29*d[7])/12 - 
       (4*d[8])/3 + (11*d[9])/12 + (5*d[10])/4 + (13*d[11])/4 + (5*d[12])/2 + 
       (2*d[13])/3 - d[14]/2 - (19*d[15])/4 - (10*d[16])/3 - (11*d[17])/12 - 
       (139*d[18])/12 + (79*d[19])/12 - (22*d[20])/3 + (41*d[21])/6 + 
       (29*d[22])/4 - (23*d[23])/6 - (119*d[24])/12 - (7*d[26])/12 + 
       (3*d[27])/4 + (2*d[31])/3 + d[32]/3 - (2*d[33])/3 + 2*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((-2*d[2])/3 + 6*d[3] - 7*d[4] + (35*d[5])/6 - (7*d[6])/36 + 
       (55*d[7])/12 - (31*d[8])/4 + (41*d[9])/4 - (22*d[10])/3 + 
       (101*d[11])/6 - (53*d[12])/6 - (11*d[13])/6 - (5*d[14])/3 - 
       (17*d[15])/18 + (125*d[16])/6 - (27*d[17])/4 - (9*d[18])/4 - 
       (91*d[19])/18 + (37*d[20])/24 + (64*d[21])/9 - (25*d[22])/18 + 
       (83*d[23])/18 + (1219*d[24])/36 - (11*d[26])/6 - d[27]/3 + d[28]/6 + 
       (2*d[30])/3 - (11*d[31])/3 - d[32] - (10*d[33])/3 + 7*d[34] - 7*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((2*d[3])/3 - (4*d[4])/3 + d[5]/6 - (5*d[6])/12 + (19*d[7])/12 + 
       (31*d[8])/12 - 2*d[9] + 2*d[10] + (31*d[11])/12 + (13*d[12])/12 - 
       (5*d[13])/3 - d[14]/3 - (9*d[15])/4 - (14*d[16])/3 - (5*d[17])/2 - 
       (5*d[18])/3 + (35*d[19])/12 - (5*d[20])/3 + (13*d[21])/3 + 
       (25*d[22])/12 - (5*d[23])/4 - 6*d[24] - d[26]/6 + (5*d[27])/6 - 
       d[31]/3 - d[32]/6 + (2*d[33])/3 - d[34]/3 - d[36])*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (d[2]/2 + (7*d[6])/4 + d[11]/4 + d[12]/3 - d[13]/6 + d[14]/6 + 
       (2*d[15])/3 - d[16]/6 + (5*d[17])/4 + (5*d[18])/12 - (2*d[19])/3 - 
       (17*d[20])/8 - (2*d[21])/3 - (2*d[22])/3 - (19*d[23])/12 - 
       (11*d[24])/12)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + (d[3] - (23*d[5])/12 + d[6] + (11*d[7])/24 - 
       (7*d[8])/8 + (35*d[9])/24 - (11*d[10])/12 - (11*d[11])/12 + 
       (11*d[12])/6 + (4*d[14])/3 + (59*d[15])/12 + (7*d[16])/3 - 
       (3*d[17])/4 + (137*d[18])/12 - (37*d[19])/6 + (119*d[20])/96 - 
       (39*d[21])/4 - (22*d[22])/3 + (155*d[23])/48 + (1019*d[24])/96 - 
       d[25]/4 + d[26]/12 - (7*d[27])/6 - d[31] - d[32] + d[33])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (-d[2]/3 + 2*d[3] - (7*d[4])/6 - (11*d[5])/4 + (4*d[6])/3 - d[7]/24 - 
       (55*d[8])/24 + (43*d[9])/24 - (9*d[10])/2 + d[11]/12 + d[12]/6 + 
       2*d[13] + d[15]/4 + (27*d[16])/4 - d[17]/12 + (13*d[18])/12 - 
       (4*d[19])/3 + (95*d[20])/12 - d[21]/3 - (4*d[22])/3 + (11*d[23])/4 + 
       (233*d[24])/24 - d[26]/3 + d[27]/12 - d[28]/12 - d[30]/3 - d[31] - 
       d[32]/2 + d[34] - 3*d[36])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + (-d[1]/3 - (2*d[2])/3 - (3*d[6])/4 + 
       (5*d[12])/12 - d[13]/3 + d[14]/3 - d[15]/6 - d[16]/3 - d[17]/4 - 
       (11*d[18])/12 + d[19]/6 + (11*d[20])/4 + d[21]/6 + d[22]/6 + 
       (19*d[23])/12 + (2*d[24])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - u] + (-d[2]/9 - d[3] + d[4] + d[5]/4 + (7*d[6])/12 - 
       (7*d[7])/16 - (23*d[8])/16 + (19*d[9])/16 + d[11]/72 - d[12]/6 + 
       d[13]/2 + (2*d[14])/3 + (7*d[15])/12 + (3*d[17])/4 - (3*d[18])/4 - 
       (7*d[19])/12 - (19*d[20])/96 - (7*d[21])/12 - (7*d[22])/12 - 
       (59*d[23])/48 - (23*d[24])/32 + d[31]/2 + d[32]/4 - d[34]/2 + 
       (3*d[36])/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     (d[1]/24 + d[2]/6 - (3*d[12])/4 + d[13]/2 - d[14]/2 - d[15]/2 + 
       d[16]/2 - d[18]/2 + d[19]/2 - (5*d[20])/8 + d[21]/2 + d[22]/2 + 
       d[24]/4)*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u] + 
     (-d[4]/2 + (43*d[6])/24 + (3*d[12])/4 - d[15]/3 + (21*d[17])/8 - 
       (5*d[18])/8 + (7*d[19])/12 + (13*d[20])/4 + (13*d[21])/12 + d[22]/12 - 
       (7*d[23])/6 - (25*d[24])/6 - d[26]/8)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]^2 + ((-4*d[3])/3 + (11*d[4])/4 - (23*d[5])/12 - 
       (13*d[6])/6 - (7*d[7])/24 + (19*d[8])/12 - (19*d[9])/8 - (7*d[10])/8 - 
       (25*d[11])/4 + d[12]/4 + (8*d[13])/3 - (5*d[14])/6 + (95*d[15])/24 + 
       (13*d[16])/12 + (47*d[17])/24 + (55*d[18])/24 - (77*d[19])/24 - 
       (31*d[20])/12 - (43*d[21])/6 - (23*d[22])/8 + (10*d[23])/3 + 
       (43*d[24])/8 + (11*d[26])/24 - (29*d[27])/24 + d[28]/4 + d[29]/8 + 
       d[30] + (2*d[31])/3 + d[32]/12 + d[33]/6 - (5*d[34])/6 + 2*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     (4*d[3] - (9*d[4])/2 - (11*d[5])/8 + d[6]/8 + (25*d[7])/8 + 
       (39*d[8])/8 - (7*d[9])/2 + d[10]/2 - (5*d[12])/8 - (3*d[14])/4 + 
       6*d[15] - d[16]/4 + (17*d[17])/8 + d[18]/4 - (57*d[19])/8 - 
       (27*d[20])/16 - (13*d[21])/4 - (75*d[22])/8 + (17*d[23])/8 + 
       (243*d[24])/16 + d[27]/2 + d[29]/8 - (3*d[31])/2 - (3*d[32])/4 + 
       (9*d[33])/4 - (3*d[34])/4 - (15*d[36])/2)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]^2 + (d[2]/2 - d[3]/2 + d[4] - (7*d[6])/3 - d[9]/2 + 
       d[10]/4 + (7*d[11])/4 + d[12]/4 - d[13] + d[14]/2 + (17*d[15])/12 - 
       (3*d[16])/2 - (11*d[17])/4 - d[18]/4 - (17*d[19])/12 - (19*d[20])/4 - 
       (13*d[21])/6 - (11*d[22])/12 + d[23]/3 + (113*d[24])/24 - d[25]/2 + 
       d[32]/2 - d[34]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2 + ((5*d[2])/6 - d[3]/6 - d[4]/6 + (3*d[5])/4 + 
       (5*d[6])/6 - (9*d[7])/8 - (19*d[8])/8 + (31*d[9])/8 - d[10]/2 + 
       (9*d[11])/2 - (11*d[12])/6 - (5*d[13])/3 + (4*d[14])/3 - 
       (11*d[15])/4 + (11*d[16])/6 - d[17] - (11*d[18])/2 + (8*d[19])/3 - 
       (19*d[20])/48 + (8*d[21])/3 + (13*d[22])/3 - (21*d[23])/8 - 
       (293*d[24])/48 - d[25]/6 - d[26]/3 - d[27]/12 - d[28]/3 - 
       (4*d[30])/3 - (2*d[31])/3 - d[32]/3 - (5*d[33])/3 + (7*d[34])/3 + 
       (5*d[36])/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     (-d[2]/2 + (2*d[6])/3 - (3*d[12])/4 + d[13] - d[14]/2 - (11*d[15])/24 + 
       d[16] - d[17]/8 + (13*d[18])/8 + (7*d[19])/12 + (3*d[20])/2 + 
       (7*d[21])/12 + (7*d[22])/12 + d[23]/3 - (61*d[24])/24 + d[25]/8)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2 + 
     (d[6]/6 + d[10]/12 - (7*d[11])/12 - (2*d[15])/3 - d[16]/6 + d[17]/6 - 
       (7*d[18])/6 + (3*d[19])/4 + (2*d[21])/3 + (3*d[22])/4 - (5*d[24])/12 - 
       d[29]/12)*HPL[{0, 1}, 1 - u]^3 + ((5*d[6])/12 - d[13]/2 + d[14]/2 + 
       d[15]/6 - d[16]/2 + d[17]/4 + d[18]/4 - d[19]/6 - d[20]/2 - d[21]/6 - 
       d[22]/6 - d[23]/6 - (2*d[24])/3)*HPL[{1}, 1 - u]^4*
      HPL[{0, 1}, 1 - v] + (-d[2]/4 - d[3]/3 + (3*d[4])/4 + d[5]/12 + 
       (53*d[6])/36 + d[7]/3 - (7*d[8])/6 - d[9]/4 - 2*d[10] - (5*d[11])/4 + 
       d[12]/12 - d[13]/4 + d[14]/12 - (49*d[15])/36 + (29*d[16])/12 - 
       (7*d[17])/4 + (11*d[18])/3 + (17*d[19])/18 + (311*d[20])/96 - 
       d[21]/18 + (55*d[22])/36 - (407*d[23])/144 - (1903*d[24])/288 + 
       d[26]/12 - d[27]/3 + d[31]/6 + d[32]/12 - d[33]/3 + d[34]/6 + d[36]/2)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     (d[2] + (8*d[3])/9 - d[4]/3 - (107*d[5])/36 - (11*d[6])/36 + 
       (73*d[7])/144 - (89*d[8])/144 - (71*d[9])/48 - (31*d[10])/24 - 
       (11*d[11])/6 + (25*d[12])/8 + (19*d[13])/18 + (13*d[14])/18 + 
       (49*d[15])/36 - (13*d[16])/72 + (107*d[17])/72 + (53*d[18])/36 - 
       (191*d[19])/72 - (113*d[20])/18 - (25*d[21])/18 - (97*d[22])/24 + 
       (97*d[23])/36 + (389*d[24])/48 + (11*d[26])/72 - (35*d[27])/72 - 
       (4*d[31])/9 - (2*d[32])/9 + (59*d[33])/36 - (43*d[34])/36 - 
       (4*d[36])/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v] + 
     ((-3*d[2])/4 - 2*d[3] + (7*d[4])/4 + (21*d[5])/8 - (17*d[6])/12 - 
       (13*d[7])/8 - (31*d[8])/8 + (17*d[9])/4 + (15*d[10])/8 - 
       (25*d[11])/24 - 3*d[12] + d[13]/4 + (3*d[14])/2 + d[15]/3 + 
       (11*d[16])/8 + (17*d[17])/8 - (27*d[18])/8 + (19*d[19])/24 + 
       (21*d[20])/8 - (19*d[21])/12 + (61*d[22])/24 + (17*d[23])/12 + 
       (83*d[24])/12 + d[31] + d[32]/2 - (7*d[33])/4 + (3*d[34])/4 + 3*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v] + 
     ((11*d[3])/6 - (5*d[4])/2 + (11*d[5])/12 + (5*d[6])/12 + (25*d[7])/24 - 
       (35*d[8])/24 + (7*d[9])/8 - 2*d[10] + (9*d[11])/4 + d[12]/4 - 
       (2*d[13])/3 - (2*d[14])/3 - (13*d[15])/12 + (59*d[16])/12 - 
       (19*d[17])/12 + (25*d[18])/12 - (5*d[19])/12 + (127*d[20])/48 + 
       (13*d[21])/6 - d[22]/4 + (19*d[23])/24 + (83*d[24])/16 - d[26]/12 + 
       d[27]/3 - (2*d[31])/3 - d[32]/3 - d[33]/6 + (5*d[34])/6 - (7*d[36])/2)*
      HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v] + 
     ((-7*d[6])/4 + d[13]/2 - d[14]/2 - d[15]/2 + d[16]/2 - (5*d[17])/4 - 
       d[18]/4 + d[19]/2 + d[20]/2 + d[21]/2 + d[22]/2 + d[23]/2 + d[24])*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (d[2]/6 + (5*d[3])/3 - (11*d[4])/6 + (5*d[5])/6 - (26*d[6])/9 - d[7]/6 - 
       (2*d[8])/3 + 3*d[9] - d[10]/3 + (17*d[11])/3 - d[12] - d[14]/3 - 
       (50*d[15])/9 + (7*d[16])/6 - (7*d[17])/6 - 13*d[18] + (44*d[19])/9 - 
       (185*d[20])/24 + (80*d[21])/9 + (97*d[22])/18 - (10*d[23])/9 - 
       (119*d[24])/72 + d[26]/12 + d[27]/6 - (4*d[31])/3 + d[32]/6 - 
       d[33]/3 + (5*d[34])/3 - d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     ((11*d[3])/3 - (9*d[4])/2 + (7*d[5])/2 + 2*d[6] + (73*d[7])/12 + 
       (3*d[8])/4 + (7*d[9])/4 - (10*d[10])/3 + (43*d[11])/6 - (35*d[12])/6 - 
       d[13]/6 - (5*d[14])/3 - (35*d[15])/6 + 7*d[16] - 3*d[17] - 
       (3*d[18])/2 + (7*d[19])/2 + (37*d[20])/2 + (49*d[21])/6 + 
       (16*d[22])/3 - (47*d[23])/12 - (97*d[24])/12 - (7*d[26])/6 + 
       (2*d[27])/3 + d[28]/6 - (2*d[30])/3 - 2*d[31] - d[32] - (4*d[33])/3 + 
       (10*d[34])/3 - 5*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (-2*d[3] + (5*d[4])/4 + (17*d[5])/8 + (17*d[6])/12 - (13*d[7])/8 + 
       d[8]/2 - (7*d[10])/8 + 3*d[11] + (9*d[12])/4 + d[13] - d[14]/2 - 
       (23*d[15])/24 - (11*d[16])/8 - (5*d[17])/8 - (9*d[18])/8 + 
       (25*d[19])/12 - (19*d[20])/4 + (5*d[21])/6 + (31*d[22])/12 - 
       (35*d[23])/12 - (149*d[24])/12 + (5*d[27])/8 + d[31] + d[32]/2 - 
       (5*d[33])/4 + d[34]/4 + 3*d[36])*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + ((-5*d[2])/9 + d[6] + d[12] + d[17] - d[18] - 
       2*d[20] - d[23])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v] + ((-2*d[2])/3 + (5*d[3])/3 - (7*d[4])/3 + 
       (5*d[5])/6 + (191*d[6])/36 + d[7]/12 - (29*d[8])/12 + (25*d[9])/12 + 
       d[10] - (11*d[11])/6 + (2*d[12])/3 + d[13]/6 + (2*d[14])/3 + 
       (173*d[15])/36 + (10*d[16])/3 + (13*d[17])/6 + (23*d[18])/6 - 
       (47*d[19])/9 + (307*d[20])/24 - (7*d[21])/18 - (47*d[22])/9 - 
       (137*d[23])/36 + (281*d[24])/72 - d[25]/4 - d[26]/3 + d[27]/6 - 
       (4*d[31])/3 - (7*d[32])/6 - d[33]/3 + (5*d[34])/3 - d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     (d[2]/4 + (19*d[3])/18 - d[4] - (119*d[5])/36 - (23*d[6])/36 - 
       (107*d[7])/144 + (79*d[8])/144 - (95*d[9])/48 - d[10]/4 - 
       (5*d[11])/3 + (5*d[12])/6 - (17*d[13])/18 - (29*d[14])/18 - 
       (175*d[15])/72 - (127*d[16])/72 + (5*d[17])/18 + (37*d[18])/18 + 
       (71*d[19])/36 - (4*d[20])/9 + (109*d[21])/36 + d[22]/3 + 
       (53*d[23])/72 + (59*d[24])/16 + (13*d[26])/36 - (23*d[27])/72 - 
       d[28]/8 + d[30]/2 - (4*d[31])/9 - (2*d[32])/9 + (17*d[33])/9 - 
       (13*d[34])/9 - (11*d[36])/6)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v] + (d[1]/9 + (7*d[2])/9 + d[6] - (9*d[12])/4 + 
       d[13]/2 - d[14]/2 + d[15]/2 + d[16]/2 + d[17]/2 + (3*d[18])/2 - 
       d[19]/2 + 4*d[20] - d[21]/2 - d[22]/2 + (5*d[23])/4 - d[24]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     (-d[1]/6 + d[2]/3 + d[3]/6 + d[4] - (5*d[5])/3 - (17*d[6])/9 + 
       (19*d[7])/48 + (163*d[8])/48 - (57*d[9])/16 + d[10]/2 - (21*d[11])/8 + 
       (13*d[12])/12 - d[13]/2 - (5*d[14])/12 + (53*d[15])/18 - 
       (49*d[16])/12 - (13*d[17])/12 + (11*d[18])/4 - (22*d[19])/9 - 
       (325*d[20])/32 - (145*d[21])/36 - (47*d[22])/18 + (155*d[23])/144 + 
       (517*d[24])/288 + d[26]/3 + d[27]/6 + d[31]/6 + d[32]/12 + 
       (7*d[33])/6 - (4*d[34])/3 - d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v] + (-d[1]/48 - d[2]/8 - (2*d[6])/3 + (5*d[12])/4 - 
       d[13]/2 + d[14]/2 - d[15]/6 - d[16]/2 - d[17]/2 - d[18]/2 + d[19]/6 - 
       2*d[20] + d[21]/6 + d[22]/6 - (7*d[23])/12 + d[24]/6)*
      HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v] + 
     ((-3*d[4])/2 - (209*d[6])/72 + (11*d[12])/4 - (11*d[13])/3 + 
       (11*d[14])/3 + (37*d[15])/18 - (11*d[16])/3 + (73*d[17])/24 - 
       (55*d[18])/8 - (83*d[19])/36 - (283*d[20])/24 + (25*d[21])/36 - 
       (155*d[22])/36 - (29*d[23])/36 + (371*d[24])/72 + d[26]/8)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((43*d[3])/18 - (7*d[4])/3 + (43*d[5])/9 + (41*d[6])/9 + (13*d[7])/9 - 
       (569*d[8])/36 + (34*d[9])/3 - (125*d[10])/12 + (67*d[11])/6 - 
       7*d[12] + (11*d[13])/9 - (4*d[14])/9 - (445*d[15])/36 + 
       (985*d[16])/36 - (65*d[17])/36 - (253*d[18])/36 + (223*d[19])/36 + 
       (2783*d[20])/144 + (37*d[21])/3 + (371*d[22])/36 - (119*d[23])/24 + 
       (359*d[24])/144 - (35*d[26])/36 - (67*d[27])/36 - d[29]/4 - 
       (4*d[31])/9 - (2*d[32])/9 - (28*d[33])/9 + (73*d[34])/18 - d[35]/2 - 
       (13*d[36])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((43*d[3])/36 + d[4]/12 - (121*d[5])/36 - 
       (209*d[6])/72 + (295*d[7])/72 + (1123*d[8])/72 - (197*d[9])/24 + 
       (55*d[10])/6 - (121*d[11])/24 + (13*d[12])/4 + (19*d[13])/36 - 
       (41*d[14])/36 + (391*d[15])/72 - (79*d[16])/9 + (265*d[17])/72 + 
       (305*d[18])/72 - (95*d[19])/36 - (293*d[20])/36 - (49*d[21])/9 - 
       (79*d[22])/12 + (11*d[23])/9 - (49*d[24])/24 + (37*d[26])/72 - 
       (5*d[27])/9 + d[29]/2 + d[31]/36 + d[32]/72 + (71*d[33])/18 - 
       (143*d[34])/36 - (11*d[36])/3)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + (-d[2] + (2*d[3])/3 + d[4] - d[6]/18 + 
       (2*d[9])/3 - d[10]/3 + (19*d[11])/3 + (5*d[12])/3 + (11*d[13])/3 - 
       (7*d[14])/3 - (2*d[15])/9 + (13*d[16])/3 - (3*d[17])/2 + (9*d[18])/2 + 
       (2*d[19])/9 + (91*d[20])/12 - (28*d[21])/9 + (17*d[22])/9 + 
       (13*d[23])/18 + d[24]/18 + d[25]/3 + (2*d[32])/3 + (2*d[34])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (-d[2]/3 - d[3] - (7*d[4])/3 + (13*d[5])/3 - d[6]/9 - d[7]/4 - 
       (79*d[8])/12 + (71*d[9])/12 - (19*d[10])/3 + (59*d[11])/6 - 
       (11*d[12])/3 - 9*d[13] + (5*d[14])/3 - (23*d[15])/18 + (29*d[16])/2 - 
       (25*d[17])/6 - (3*d[18])/2 - (8*d[19])/9 - (101*d[20])/24 + 
       (55*d[21])/9 + (25*d[22])/9 - (29*d[23])/36 - (325*d[24])/72 - 
       (4*d[26])/3 + d[27] + d[29]/3 + (2*d[31])/3 + (5*d[32])/3 - 
       (11*d[33])/3 + 3*d[34] + d[35]/3 + d[36])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (d[2]/3 + d[5]/2 + (17*d[6])/6 + d[10]/6 + d[11]/6 - d[12]/3 - 
       (5*d[14])/6 - d[15]/6 - d[16]/3 + d[17] + d[18]/3 + d[19]/6 + 
       (13*d[20])/8 + (2*d[21])/3 + d[22]/6 - d[23]/12 - (31*d[24])/24 - 
       d[26]/6)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (d[2]/2 - 2*d[3] + (3*d[4])/2 - (3*d[6])/4 - d[7]/4 + (7*d[8])/4 + 
       (5*d[9])/2 - (23*d[10])/8 + (39*d[11])/4 - d[12] - d[14]/4 + 2*d[15] + 
       (11*d[16])/8 - (9*d[17])/4 + (9*d[18])/4 - (21*d[19])/8 - 
       (3*d[20])/8 - (3*d[21])/2 - (13*d[22])/8 + (3*d[23])/4 + 
       (105*d[24])/8 + d[26] + d[29]/8 + (3*d[32])/4 - d[33] + d[34] + 
       d[35]/2 + 6*d[36])*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v] + 
     ((-3*d[4])/8 - (79*d[6])/48 + (11*d[12])/4 - d[13] + d[14] - 
       (29*d[15])/24 - d[16] - (9*d[17])/16 - (17*d[18])/16 + (4*d[19])/3 - 
       (23*d[20])/16 + (19*d[21])/12 + (23*d[22])/24 - (43*d[23])/24 - 
       (119*d[24])/48 - d[26]/16)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^2 + 
     ((-5*d[3])/6 + (17*d[5])/6 + (7*d[6])/2 + (17*d[7])/24 - (55*d[8])/24 + 
       (33*d[9])/8 - (11*d[10])/4 + (11*d[11])/2 - (13*d[12])/4 + 
       (35*d[13])/12 - (7*d[14])/12 - (25*d[15])/4 + (41*d[16])/6 + 
       (25*d[17])/12 - (43*d[18])/12 + 5*d[19] + (431*d[20])/48 + 
       (23*d[21])/3 + (79*d[22])/12 - (119*d[23])/24 - (587*d[24])/48 - 
       (5*d[26])/12 + (5*d[27])/12 + d[28]/4 + d[29]/8 - d[30] + d[31]/6 + 
       d[32]/3 - (13*d[33])/12 + (5*d[34])/12 + d[36]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2 + 
     ((-4*d[3])/3 + (5*d[4])/2 - (13*d[5])/6 - (7*d[6])/6 - (5*d[7])/12 + 
       (55*d[8])/12 - (13*d[9])/4 + 3*d[10] - (19*d[11])/4 + d[12] + 
       (2*d[13])/3 + (2*d[14])/3 + (7*d[15])/3 - (83*d[16])/12 + 
       (25*d[17])/12 - (7*d[18])/12 - (7*d[19])/12 - (113*d[20])/24 - 
       (25*d[21])/6 - (7*d[22])/4 - (17*d[23])/12 - (55*d[24])/8 + d[26]/3 - 
       (5*d[27])/6 + (2*d[31])/3 + d[32]/3 + (7*d[33])/6 - (11*d[34])/6 + 
       2*d[36])*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]^2 + 
     (d[2]/2 + d[4]/3 + (13*d[6])/6 - 6*d[12] + 2*d[13] - 2*d[14] - 
       (3*d[15])/2 + 2*d[16] + d[17] - d[18] + (4*d[19])/3 + 5*d[20] + 
       d[21] + (5*d[22])/3 + (7*d[23])/3 - (2*d[24])/3 - d[25]/6 + d[26]/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     (d[2]/2 + (29*d[3])/12 - (9*d[4])/4 - d[5]/6 - (11*d[6])/6 + 
       (23*d[7])/24 + (83*d[8])/24 - (19*d[9])/8 + (3*d[10])/4 + d[11]/2 + 
       (5*d[12])/4 - (43*d[13])/12 - (13*d[14])/12 + (59*d[15])/12 - 
       (73*d[16])/24 - (17*d[17])/12 + (5*d[18])/12 - (53*d[19])/12 - 
       (283*d[20])/48 - (11*d[21])/2 - (13*d[22])/3 + (13*d[23])/8 + 
       (533*d[24])/48 - d[25]/4 + d[26]/12 - d[27]/12 - d[28]/4 - d[29]/8 + 
       d[30] - (4*d[31])/3 - (11*d[32])/12 - d[33]/12 + (5*d[34])/3 - 
       (5*d[36])/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     (-d[2]/2 - (2*d[6])/3 + (5*d[12])/2 - d[13] + (9*d[14])/8 + 
       (133*d[15])/48 - d[16] - (7*d[17])/16 + (29*d[18])/16 - 
       (65*d[19])/24 - (55*d[20])/16 - (65*d[21])/24 - (65*d[22])/24 - 
       (7*d[23])/12 + (95*d[24])/48 + d[25]/16)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]^2 + (d[2]/4 + (7*d[3])/4 - (3*d[4])/2 + (5*d[5])/4 - 
       d[6]/2 + d[7]/4 + d[8]/2 + d[9]/4 - d[10]/4 + (19*d[11])/8 + 
       (3*d[12])/4 - d[13]/4 + (3*d[14])/4 - (23*d[15])/4 - d[16] + 
       (21*d[17])/8 - (31*d[18])/8 + (11*d[19])/2 + 3*d[20] + (33*d[21])/4 + 
       (21*d[22])/4 - (19*d[23])/4 - (73*d[24])/8 + (3*d[26])/4 - d[29]/8 - 
       (3*d[31])/2 - d[32]/4 + d[33]/4 + (3*d[34])/2)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2 + ((3*d[6])/4 - d[12] + d[13]/2 - d[14]/2 + 
       d[16]/2 + d[17]/4 + (3*d[18])/4 + (3*d[20])/2 + d[23]/2)*
      HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - w] + 
     ((13*d[4])/18 - (3*d[5])/2 - (17*d[6])/12 - (3*d[7])/8 + (15*d[8])/8 - 
       (17*d[9])/8 + d[10] - (9*d[11])/4 + (11*d[12])/9 + (37*d[15])/36 - 
       (11*d[16])/4 + (47*d[17])/36 - (5*d[18])/4 - (2*d[19])/9 - 
       (35*d[20])/32 - (71*d[21])/36 - (2*d[22])/3 + (47*d[23])/48 - 
       (23*d[24])/32 + d[26]/4 - d[27]/4 + d[33]/2 - d[34]/2)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-5*d[2])/6 + (29*d[3])/12 - (10*d[4])/3 - (2*d[5])/3 - (7*d[6])/3 + 
       (3*d[7])/4 + (5*d[8])/4 - (11*d[9])/12 + (37*d[10])/12 + 
       (77*d[11])/12 + (5*d[12])/12 - (7*d[13])/6 - d[14] - (14*d[15])/3 - 
       (2*d[16])/3 - 5*d[17] + (23*d[18])/4 + (47*d[19])/12 - (31*d[20])/48 + 
       (47*d[21])/6 + (37*d[22])/12 + d[23] + (55*d[24])/16 - d[26]/4 + 
       d[27]/2 - d[31] - d[32]/12 + (5*d[33])/6 + d[34]/6 - 3*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     (d[2]/6 + (5*d[3])/6 - d[4]/18 + (7*d[5])/12 + (29*d[6])/12 + 
       (5*d[7])/4 - (5*d[8])/3 + (5*d[9])/2 - (13*d[10])/12 - (55*d[11])/36 - 
       (7*d[12])/4 - (5*d[13])/6 + d[14] + (41*d[15])/12 + (43*d[16])/12 + 
       (5*d[17])/3 - (2*d[18])/3 - (17*d[19])/4 + (29*d[20])/4 - 
       (9*d[21])/2 - (15*d[22])/4 + (4*d[23])/3 + (131*d[24])/24 - d[26]/6 - 
       (11*d[27])/12 - d[31]/3 - d[32]/6 - d[33]/2 + (5*d[34])/6 - d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w] + 
     ((-17*d[3])/12 + (3*d[4])/2 + (5*d[5])/12 - d[6]/12 - (31*d[7])/48 - 
       (43*d[8])/48 + (9*d[9])/16 - d[10]/3 + d[11]/8 + d[13]/3 + 
       (7*d[14])/12 - (7*d[15])/12 + (2*d[16])/3 - d[17]/12 - (23*d[18])/12 + 
       (5*d[19])/6 - (13*d[20])/6 - d[21]/3 + (3*d[22])/2 - (5*d[23])/6 - 
       (53*d[24])/16 - d[26]/12 - (5*d[27])/12 + d[31]/3 + d[32]/6 - 
       (2*d[33])/3 + d[34]/3 + (5*d[36])/2)*HPL[{1}, 1 - v]^4*
      HPL[{0, 1}, 1 - w] + (-d[1]/6 - d[6]/12 + d[11]/2 + (5*d[12])/12 - 
       d[13]/3 + d[14]/3 + d[15]/2 - d[16]/3 - d[17]/4 + (13*d[18])/12 - 
       d[19]/2 - d[20]/2 - d[21]/2 - d[22]/2 - (7*d[23])/12 - d[24]/2)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (-d[2]/6 + d[3]/3 - (19*d[5])/6 - 4*d[6] - (17*d[7])/48 + 
       (143*d[8])/48 - (21*d[9])/16 + (31*d[10])/12 + (5*d[11])/24 + 
       (23*d[12])/4 - d[13]/3 - d[14]/6 - (11*d[15])/4 - (71*d[16])/12 - 
       (67*d[17])/12 + (17*d[18])/4 + (23*d[19])/6 - (803*d[20])/96 - 
       (3*d[21])/4 + (11*d[22])/6 - (143*d[23])/48 - (325*d[24])/96 - 
       d[25]/6 + (7*d[26])/12 + d[27]/6 - d[31]/6 - (11*d[32])/12 + 
       (11*d[33])/6 - (5*d[34])/3 - d[36]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (-d[2]/6 + (14*d[3])/3 - (47*d[4])/6 + (9*d[5])/2 + (83*d[6])/18 + 
       (5*d[7])/4 - (17*d[8])/12 + (35*d[9])/12 - (13*d[10])/6 + 
       (41*d[11])/3 - (53*d[12])/12 - (5*d[13])/6 - (3*d[14])/2 - 
       (73*d[15])/18 + (23*d[16])/3 - d[17] - (35*d[18])/6 + (13*d[19])/18 + 
       (233*d[20])/12 + (295*d[21])/18 + (14*d[22])/9 + (71*d[23])/36 - 
       (23*d[24])/72 - d[25]/6 - (13*d[26])/6 + (8*d[27])/3 + d[28]/6 - 
       (2*d[30])/3 - (7*d[31])/3 - 2*d[32] - (2*d[33])/3 + 3*d[34] - 7*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (-d[1]/12 + d[2]/2 + (11*d[3])/18 - d[4]/4 - (179*d[5])/72 - 
       (35*d[6])/72 - (115*d[7])/144 - (355*d[8])/144 + (11*d[9])/48 - 
       d[10]/2 - (53*d[11])/24 + (11*d[12])/3 - (5*d[13])/36 - 
       (35*d[14])/36 - (41*d[15])/72 + (11*d[16])/9 - (43*d[17])/36 + 
       (193*d[18])/36 - (25*d[19])/72 - (445*d[20])/288 + (7*d[21])/18 - 
       (15*d[22])/8 + (287*d[23])/144 + (455*d[24])/96 + (7*d[26])/72 - 
       (5*d[27])/36 - (7*d[31])/18 - (7*d[32])/36 + (23*d[33])/18 - 
       (8*d[34])/9 - (2*d[36])/3)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + (d[2]/2 - (2*d[6])/3 - (3*d[11])/4 + 
       (19*d[12])/12 - d[13]/6 + d[14]/6 - d[15]/2 - d[16]/6 - (11*d[18])/6 + 
       d[19]/2 - (37*d[20])/8 + d[21]/2 + d[22]/2 - (5*d[23])/3 + d[24]/4)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (d[1]/3 - (4*d[3])/3 + (4*d[4])/3 + (3*d[5])/2 + (19*d[6])/4 - 
       (19*d[7])/12 - (14*d[8])/3 + (53*d[9])/12 + (5*d[10])/4 + 
       (7*d[11])/3 - (35*d[12])/6 + (2*d[13])/3 + (5*d[14])/3 + 
       (25*d[15])/12 + (5*d[16])/4 + (9*d[17])/2 - (7*d[18])/6 - 
       (7*d[19])/4 + (139*d[20])/12 - (11*d[21])/6 - (7*d[22])/12 + 
       (7*d[23])/2 + (7*d[24])/8 + d[25]/12 - (5*d[26])/12 - d[27]/4 + 
       (2*d[31])/3 + (2*d[32])/3 - (7*d[33])/6 + d[34]/2 + 2*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (d[2]/4 - 2*d[3] + (7*d[4])/4 + (15*d[5])/8 - (43*d[6])/36 + 
       (7*d[7])/8 + (5*d[8])/2 - (5*d[9])/4 - (17*d[10])/8 - d[11]/8 - 
       (7*d[12])/2 + d[13]/6 - (23*d[14])/12 - (701*d[15])/72 - 
       (19*d[16])/12 + (25*d[17])/24 - (83*d[18])/24 + (791*d[19])/72 + 
       (23*d[20])/24 + (82*d[21])/9 + (863*d[22])/72 - (245*d[23])/36 - 
       (707*d[24])/36 - d[27]/8 - d[28]/8 + d[30]/2 + d[31] + d[32]/2 - 
       (5*d[33])/4 + d[34]/4 + 3*d[36])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w] + ((-2*d[2])/3 - (2*d[6])/3 - d[12]/2 - 
       (2*d[15])/3 - d[17]/2 - d[18] + (2*d[19])/3 + (17*d[20])/4 + 
       (2*d[21])/3 + (2*d[22])/3 + (8*d[23])/3 + (7*d[24])/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w] + 
     ((5*d[3])/6 - d[4] + (17*d[5])/12 + d[6]/6 + d[7]/24 - (47*d[8])/24 + 
       (19*d[9])/8 - d[10]/2 + (25*d[11])/12 + (5*d[12])/8 - (2*d[13])/3 - 
       (2*d[14])/3 - (13*d[15])/12 + (41*d[16])/12 - (19*d[17])/12 - 
       (23*d[18])/12 + (7*d[19])/12 - (137*d[20])/48 + (7*d[21])/6 + 
       (7*d[22])/4 - (37*d[23])/12 + (57*d[24])/16 - d[26]/3 - d[27]/6 - 
       (2*d[31])/3 - d[32]/3 - (7*d[33])/6 + (11*d[34])/6 - d[36]/2)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w] + 
     (d[1]/24 + d[2]/6 + (2*d[6])/3 - d[12]/2 + (2*d[15])/3 + d[17]/2 + 
       d[18] - (2*d[19])/3 - (5*d[20])/8 - (2*d[21])/3 - (2*d[22])/3 - 
       (11*d[23])/12 - (11*d[24])/12)*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w] + 
     (d[4] + (9*d[6])/4 - (5*d[12])/6 + (11*d[13])/3 - (11*d[14])/3 - 
       (5*d[15])/3 + (11*d[16])/3 - (7*d[17])/4 + (25*d[18])/12 + 
       (7*d[19])/6 + (15*d[20])/4 + d[21]/6 + (13*d[22])/6 + (23*d[23])/6 + 
       (71*d[24])/12 + d[26]/4)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + (3*d[3] - 5*d[4] - (23*d[5])/6 - (13*d[6])/6 + 
       d[7]/2 + (34*d[8])/3 - (23*d[9])/3 + (53*d[10])/6 - (14*d[11])/3 + 
       (20*d[12])/3 - (10*d[13])/3 - (4*d[14])/3 + (14*d[15])/3 - 
       (53*d[16])/3 + (4*d[17])/3 + (19*d[18])/3 - (4*d[19])/3 - 
       (117*d[20])/16 - (29*d[21])/6 - 5*d[22] + (17*d[23])/24 + 
       (49*d[24])/48 + d[26]/3 + (3*d[27])/2 - d[29]/6 - (5*d[31])/3 - 
       d[32]/6 + (8*d[33])/3 - (4*d[34])/3 - 5*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (d[3]/3 - 4*d[4] + (9*d[5])/2 + (8*d[6])/3 + d[7] - (35*d[8])/6 + 
       (31*d[9])/6 - 8*d[10] + (29*d[11])/3 - (41*d[12])/6 - (4*d[13])/3 - 
       d[14] - (19*d[15])/6 + (55*d[16])/6 - (7*d[17])/6 - (11*d[18])/3 + 
       2*d[19] + (23*d[20])/3 + (28*d[21])/3 + (16*d[22])/3 + (11*d[23])/6 + 
       (49*d[24])/12 - (3*d[26])/2 + d[27]/2 - d[28]/6 - (2*d[30])/3 - 
       (2*d[31])/3 - d[32]/3 - (10*d[33])/3 + 4*d[34] + d[36])*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (d[2] - d[4] - (37*d[6])/6 + d[10]/2 + d[11]/2 + (5*d[12])/3 - 
       (22*d[13])/3 + (25*d[14])/3 + (2*d[15])/3 - (25*d[16])/3 - 
       (5*d[17])/2 - (19*d[18])/6 - d[19]/6 - 14*d[20] + (7*d[21])/3 - 
       (7*d[22])/6 - (7*d[23])/2 - (23*d[24])/12 - d[25]/2 - d[26])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (-d[2] - 3*d[3] + (5*d[4])/3 + (37*d[5])/3 + (7*d[6])/2 + (17*d[7])/24 - 
       (419*d[8])/24 + (311*d[9])/24 - 12*d[10] + (61*d[11])/4 - 
       (11*d[12])/6 + d[13] + (8*d[14])/3 - (19*d[15])/3 + (53*d[16])/2 - 
       (25*d[17])/6 - (25*d[18])/6 + (17*d[19])/6 + (463*d[20])/48 + 
       (17*d[21])/6 + (17*d[22])/2 - (11*d[23])/8 + (829*d[24])/48 - 
       d[25]/3 - (2*d[26])/3 - (5*d[27])/6 + d[29]/6 + d[31] + d[32]/2 - 
       (17*d[33])/3 + (14*d[34])/3 + 6*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (-d[2] + (14*d[6])/3 - (4*d[12])/3 + (11*d[13])/3 - (14*d[14])/3 - 
       (3*d[15])/4 + (11*d[16])/3 + (17*d[17])/4 + (13*d[18])/12 + d[19]/2 + 
       (41*d[20])/4 + d[21]/2 + d[22]/2 + (2*d[23])/3 + d[24] + d[25]/4)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (3*d[3] - 3*d[4] - d[5]/2 - 2*d[6] + 5*d[9] - (9*d[10])/4 - 
       (11*d[11])/4 + d[14]/2 + (5*d[15])/2 + (3*d[16])/4 - d[17] + 4*d[18] - 
       (11*d[19])/4 + d[20]/8 - 6*d[21] - (11*d[22])/4 - (3*d[23])/4 - 
       (67*d[24])/8 + d[25]/2 - (3*d[26])/2 + d[29]/4 - 2*d[31] - 
       (3*d[32])/2 + 3*d[34])*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w] + 
     ((4*d[4])/3 - (7*d[6])/6 + d[10]/6 + d[11]/6 + (10*d[12])/3 - 
       (3*d[15])/2 - d[16]/3 + (7*d[17])/3 - 6*d[18] + (11*d[19])/6 - 
       (95*d[20])/24 + 2*d[21] + (11*d[22])/6 - (11*d[23])/12 - 
       (23*d[24])/24 - d[26]/6)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((2*d[2])/3 + 2*d[3] - (8*d[4])/3 + 6*d[5] - 
       (2*d[6])/9 - (13*d[7])/4 - (49*d[8])/4 + (21*d[9])/4 - (7*d[10])/3 + 
       (31*d[11])/3 - (11*d[12])/3 - d[13]/3 + (11*d[14])/3 - (95*d[15])/9 + 
       9*d[16] - (14*d[17])/3 - 10*d[18] + (145*d[19])/18 + (127*d[20])/24 + 
       (131*d[21])/9 + (229*d[22])/18 - (319*d[23])/36 - (83*d[24])/72 - 
       (7*d[26])/6 + (10*d[27])/3 + d[28]/3 + d[29]/6 - (4*d[30])/3 - d[31] + 
       d[32]/6 - (13*d[33])/3 + (19*d[34])/3 + d[35]/3 + d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-143*d[3])/36 - d[4]/4 + (233*d[5])/36 + (139*d[6])/72 - 
       (155*d[7])/72 - (725*d[8])/72 + (217*d[9])/24 - (15*d[10])/2 + 
       (217*d[11])/24 - (13*d[12])/3 - (53*d[13])/36 + (25*d[14])/36 - 
       (173*d[15])/72 + (181*d[16])/18 - (179*d[17])/72 - (385*d[18])/72 + 
       (10*d[19])/9 + (149*d[20])/18 + (79*d[21])/18 + (17*d[22])/3 + 
       (41*d[23])/9 + (59*d[24])/8 - (95*d[26])/72 + (19*d[27])/36 - 
       d[28]/4 + d[30] + d[31]/36 - (35*d[32])/72 - (41*d[33])/9 + 
       (163*d[34])/36 + (22*d[36])/3)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + (-d[2]/3 - (5*d[4])/3 + (8*d[6])/9 - (4*d[9])/3 - 
       d[10]/3 - d[11] - (65*d[12])/6 + (11*d[13])/3 - 3*d[14] + 
       (5*d[15])/9 + (16*d[16])/3 + (14*d[18])/3 - (8*d[19])/9 + 
       (137*d[20])/12 - (14*d[21])/9 - (23*d[22])/9 + (61*d[23])/9 + 
       (185*d[24])/18 + d[26]/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (d[2] + (59*d[3])/9 - (13*d[4])/2 - (163*d[5])/18 + 3*d[6] + 
       (113*d[7])/72 + (1079*d[8])/72 - (307*d[9])/24 + (33*d[10])/4 - 
       (35*d[11])/12 + (11*d[12])/6 - (16*d[13])/9 - (203*d[14])/18 + 
       (25*d[15])/6 - (337*d[16])/18 + (79*d[17])/36 + (359*d[18])/36 - 
       (13*d[19])/4 + (677*d[20])/144 + (5*d[21])/9 - (365*d[22])/36 - 
       (353*d[23])/72 - (2453*d[24])/144 - d[25]/4 + (11*d[26])/18 + 
       (65*d[27])/36 - d[28]/2 - d[29]/4 + 2*d[30] - (13*d[31])/9 - 
       (13*d[32])/18 + (62*d[33])/9 - (49*d[34])/9 - d[35]/2 - (46*d[36])/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (d[2]/2 - (2*d[6])/9 + (37*d[12])/4 - (11*d[13])/3 + (41*d[14])/12 - 
       (31*d[15])/72 - (11*d[16])/3 - d[17]/24 + (17*d[18])/24 + 
       (11*d[19])/36 - (97*d[20])/12 + (11*d[21])/36 + (11*d[22])/36 - 
       (61*d[23])/9 - (71*d[24])/18 - d[25]/8)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-4*d[2])/3 + (2*d[4])/3 + 4*d[5] + (7*d[6])/3 + (4*d[7])/3 + 
       (10*d[8])/3 - (4*d[9])/3 + (13*d[10])/3 + 2*d[11] + (2*d[12])/3 + 
       d[14]/3 - 3*d[15] - 5*d[16] + (2*d[17])/3 - (4*d[18])/3 + 4*d[19] + 
       (11*d[20])/12 + (10*d[21])/3 + (10*d[22])/3 - (3*d[23])/2 - 
       (89*d[24])/12 - d[26]/3 - d[29]/3 + d[32]/3 + (2*d[34])/3)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-d[2]/4 + d[3] - d[4] - (3*d[5])/2 + (3*d[9])/4 - (9*d[10])/4 - 
       (33*d[11])/8 - (3*d[12])/4 - d[13]/4 + (27*d[15])/4 + 4*d[16] - 
       (29*d[17])/8 + (51*d[18])/8 - (27*d[19])/4 - (15*d[20])/4 - 
       (7*d[21])/2 - (13*d[22])/2 + (9*d[23])/2 + (127*d[24])/8 + d[25]/4 + 
       d[29]/8 - d[31]/2 - d[32]/4 - d[33]/4 + d[34])*HPL[{0, 1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w] + (-d[4]/2 - d[6]/24 - d[12]/4 + d[13] - d[14] + 
       (5*d[15])/6 + d[16] + (17*d[17])/8 - (29*d[18])/8 - (7*d[19])/12 + 
       2*d[20] - d[21]/12 - (13*d[22])/12 + (2*d[23])/3 + (23*d[24])/12 - 
       d[26]/8)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]^2 + 
     (d[4]/6 - d[5]/4 - (3*d[6])/4 + (7*d[7])/24 + (33*d[8])/8 - 
       (17*d[9])/24 + (29*d[10])/12 - (2*d[11])/3 - 2*d[12] + d[13] - 
       d[14]/2 + (7*d[15])/4 - (23*d[16])/6 + (11*d[17])/6 - (25*d[18])/6 - 
       (2*d[19])/3 - (39*d[20])/16 - (7*d[21])/3 - (2*d[22])/3 - 
       (41*d[23])/24 - (75*d[24])/16 + d[26]/12 - d[27]/3 + d[28]/6 + 
       d[29]/12 - (2*d[30])/3 - d[31]/6 - d[32]/4 + d[33]/2 - (2*d[34])/3 - 
       d[36]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     (3*d[3] - (7*d[4])/2 + (15*d[5])/8 + (7*d[6])/4 + (65*d[7])/16 - 
       (21*d[8])/16 + (17*d[9])/16 - 6*d[10] + (47*d[11])/8 + d[12]/8 - 
       (9*d[13])/4 - d[14]/2 + (3*d[15])/4 + (23*d[16])/2 - (7*d[17])/4 + 
       (5*d[18])/4 - (29*d[19])/8 + (7*d[20])/4 + d[21]/2 - (21*d[22])/8 + 
       (17*d[23])/8 + (261*d[24])/16 - d[26]/2 - (5*d[27])/8 - d[28]/8 + 
       d[30]/2 - (3*d[31])/2 - (3*d[32])/4 - d[33] + (5*d[34])/2 - 
       (9*d[36])/2)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2 + 
     (d[2]/2 + d[4]/2 + d[5]/2 + (19*d[6])/12 - d[9] + (3*d[10])/4 - 
       (3*d[11])/4 + (3*d[12])/4 - d[13] + d[14]/2 - (2*d[15])/3 - 
       (9*d[16])/4 - d[17]/4 + (17*d[18])/4 + (5*d[19])/12 + (7*d[20])/4 + 
       (2*d[21])/3 + (11*d[22])/12 - (17*d[23])/6 - (197*d[24])/24 - 
       d[25]/4 + d[26]/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2 + (d[2]/2 - (4*d[3])/3 + (7*d[4])/4 - (8*d[5])/3 - 
       d[6]/6 - (25*d[7])/24 + (13*d[8])/3 - (29*d[9])/8 + (13*d[10])/8 - 
       (5*d[11])/2 + (9*d[12])/4 - d[13]/3 - (4*d[14])/3 + (17*d[15])/6 - 
       (49*d[16])/6 + (47*d[17])/24 + (91*d[18])/24 - (29*d[19])/24 - 
       (71*d[20])/24 - (11*d[21])/3 - (23*d[22])/8 - d[23]/24 - 
       (27*d[24])/8 - d[25]/8 + (7*d[26])/12 + (7*d[27])/24 - d[28]/4 - 
       d[29]/8 + d[30] + (2*d[31])/3 + d[32]/3 + (5*d[33])/3 - (7*d[34])/3 + 
       2*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2 + 
     (-d[2]/2 - (5*d[6])/3 - d[12]/4 + d[14]/2 + (5*d[15])/24 - 
       (13*d[17])/8 - (11*d[18])/8 - d[19]/12 - (15*d[20])/4 - d[21]/12 - 
       d[22]/12 + (5*d[23])/3 + (61*d[24])/24 + d[25]/8)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]^2 + (2*d[5] - (7*d[6])/2 + 3*d[9] + (3*d[10])/4 + 
       (11*d[11])/4 - d[14] + 4*d[15] - (11*d[16])/4 - 3*d[18] - 2*d[19] - 
       d[20]/4 - 12*d[21] - 2*d[22] + (3*d[23])/2 + 7*d[24] + d[25]/4 + 
       (5*d[26])/2 - d[29]/4 - 2*d[32])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2 + (-d[3]/2 + d[4]/2 + d[5]/4 - d[6]/2 + d[7]/4 + 
       (3*d[8])/4 - d[9]/2 - (9*d[10])/8 - (19*d[11])/8 - (5*d[12])/2 + 
       (3*d[14])/2 + (9*d[15])/4 + (13*d[16])/8 + (3*d[17])/2 - (7*d[19])/4 - 
       (17*d[20])/8 + d[21] - (3*d[22])/4 + (3*d[23])/4 + 9*d[24] - d[25]/8 - 
       (3*d[26])/2 + d[29]/8 - d[31]/2 - 2*d[32] - d[33] + 2*d[34] + 
       d[35]/2 + 6*d[36])*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     (-d[3]/6 + d[4]/6 - (5*d[5])/6 + (2*d[6])/3 + d[9]/6 - d[10]/12 - 
       d[11]/4 + d[14]/2 - (7*d[15])/6 + (11*d[16])/12 + d[18] + 
       (7*d[19])/6 + d[20]/8 + (7*d[21])/6 + (7*d[22])/6 - (3*d[23])/4 - 
       (43*d[24])/24 + d[25]/12 + d[29]/12 + d[31]/3 - d[34]/6)*
      HPL[{0, 1}, 1 - w]^3 + ((-14*d[6])/3 + 4*d[12] - d[15]/3 - 
       (7*d[17])/3 - 3*d[18] - (17*d[20])/2 + (5*d[23])/3 + (67*d[24])/6)*
      HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - u] + 
     (-d[2] + (4*d[3])/3 - 4*d[4] + (65*d[5])/12 + (67*d[6])/12 - 
       (5*d[7])/24 - (23*d[8])/24 + (65*d[9])/8 + 5*d[10] + (27*d[11])/2 - 
       (29*d[12])/4 - (7*d[13])/6 - (11*d[14])/3 - (31*d[15])/6 - 
       (7*d[16])/3 + d[17]/6 - (67*d[18])/6 + (14*d[19])/3 + (269*d[20])/24 + 
       12*d[21] + (29*d[22])/6 - (7*d[23])/4 - (37*d[24])/6 - (4*d[26])/3 + 
       (31*d[27])/12 - d[28]/4 - d[29]/4 - d[30] - (2*d[31])/3 - d[32]/3 - 
       d[33]/6 + (5*d[34])/6 - d[35]/4 - 2*d[36])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((5*d[3])/3 - (5*d[4])/2 - (2*d[5])/3 + (7*d[6])/36 - (5*d[7])/3 + 
       (7*d[8])/3 + d[9]/2 + 5*d[10] + (9*d[11])/4 - (3*d[12])/2 + d[13]/3 - 
       3*d[14] + (55*d[15])/9 - 6*d[16] + (5*d[17])/12 + (5*d[18])/12 - 
       (83*d[19])/18 + (7*d[20])/12 - (40*d[21])/9 - (52*d[22])/9 + 
       (73*d[23])/18 + (53*d[24])/9 - d[26]/6 + (2*d[27])/3 - d[31]/3 - 
       d[32]/6 + (2*d[33])/3 - d[34]/3 - 4*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((-5*d[3])/9 + (5*d[4])/6 - (31*d[5])/36 - (5*d[6])/18 - d[7]/36 + 
       (169*d[8])/72 + d[9]/6 + (85*d[10])/24 - (31*d[11])/24 - (3*d[12])/4 - 
       (2*d[13])/9 - (7*d[14])/18 + (47*d[15])/36 - (407*d[16])/72 + 
       (47*d[17])/36 - (5*d[18])/36 - d[19]/72 - (571*d[20])/288 - 
       (13*d[21])/9 - (17*d[22])/24 - (139*d[23])/144 - (301*d[24])/96 + 
       (5*d[26])/36 + (5*d[27])/72 + (5*d[31])/18 + (5*d[32])/36 + 
       (25*d[33])/36 - (35*d[34])/36 + (5*d[36])/6)*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - u] + (3*d[6] - 2*d[9] - d[11] - d[12]/2 - 2*d[13] + 
       4*d[14] - d[16] + 3*d[17] - d[18] - d[19] + (5*d[20])/2 + 3*d[21] - 
       d[22] - 5*d[23] - (37*d[24])/4 - d[26] - d[32]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((-4*d[2])/3 - (4*d[3])/3 + 9*d[5] - 5*d[6] - (5*d[7])/6 - (33*d[8])/2 + 
       (83*d[9])/6 - (35*d[10])/3 + (49*d[11])/3 + 3*d[12] + 2*d[13] + 
       (14*d[14])/3 - (8*d[15])/3 + 24*d[16] - (20*d[17])/3 - (10*d[18])/3 - 
       (11*d[19])/3 - d[20]/4 - d[21] + (5*d[22])/3 + (31*d[23])/6 + 
       (63*d[24])/2 + (2*d[26])/3 - d[27]/3 + (2*d[28])/3 + d[29]/3 + 
       (8*d[30])/3 - (16*d[33])/3 + (16*d[34])/3 + d[35]/3 + 4*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((-4*d[2])/3 + (8*d[3])/3 - 4*d[4] + (35*d[5])/6 + (17*d[6])/36 + 
       (11*d[7])/6 - (26*d[8])/3 + 8*d[9] - 4*d[10] + (15*d[11])/2 - 
       (2*d[12])/3 - (13*d[13])/6 + (3*d[14])/2 - (89*d[15])/18 + 17*d[16] - 
       (21*d[17])/4 + (5*d[18])/12 + (41*d[19])/18 + (41*d[20])/6 + 
       (107*d[21])/18 + (95*d[22])/18 + (25*d[23])/9 + (565*d[24])/36 - 
       (2*d[26])/3 - d[27]/2 + d[28]/6 + (2*d[30])/3 - (4*d[31])/3 - 
       (2*d[32])/3 - 3*d[33] + (13*d[34])/3 - 4*d[36])*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (-d[4] + (15*d[6])/4 + d[9] + d[11]/2 - (37*d[12])/6 + (17*d[13])/6 - 
       (41*d[14])/6 + (2*d[15])/3 + (7*d[16])/3 + d[17]/4 + (65*d[18])/12 - 
       (2*d[19])/3 + (47*d[20])/4 - (8*d[21])/3 - (5*d[22])/3 + 
       (14*d[23])/3 - (11*d[24])/12 + d[26])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u] + 
     (2*d[2] + (5*d[4])/6 - (11*d[5])/2 + (8*d[6])/3 - (49*d[7])/24 + 
       (149*d[8])/24 - (119*d[9])/24 + (19*d[10])/3 - (61*d[11])/12 - 
       (11*d[12])/6 + (2*d[13])/3 - 4*d[14] + (53*d[15])/12 - 
       (169*d[16])/12 + (17*d[17])/4 + (11*d[18])/4 - 2*d[19] + 
       (239*d[20])/96 - (53*d[21])/12 - (9*d[22])/2 - (19*d[23])/16 - 
       (395*d[24])/32 + (5*d[26])/12 + (5*d[27])/12 - d[28]/3 - (4*d[30])/3 + 
       (5*d[33])/2 - (5*d[34])/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u] + ((-25*d[6])/12 + (8*d[12])/3 - (5*d[13])/6 + 
       (17*d[14])/6 - (5*d[16])/6 - (5*d[17])/4 - (5*d[18])/12 - 
       (23*d[20])/4 - (4*d[23])/3 + (3*d[24])/2)*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - u] + (-2*d[2] - 2*d[3] + 2*d[4] - (8*d[6])/3 - 
       d[10] + 4*d[12] - 2*d[13] - (20*d[15])/3 - 2*d[16] + 4*d[17] - 
       18*d[18] + (20*d[19])/3 - 4*d[20] + (20*d[21])/3 + (20*d[22])/3 - 
       (4*d[23])/3 + (8*d[24])/3 - d[29] - d[35] + 6*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     ((7*d[3])/3 - 5*d[4] + (55*d[5])/6 + (11*d[6])/3 - (4*d[7])/3 - 
       (25*d[8])/3 + (41*d[9])/2 - (5*d[10])/2 + 21*d[11] - 5*d[12] - 
       (2*d[13])/3 - (8*d[14])/3 - (25*d[15])/3 + (32*d[16])/3 + 
       (2*d[17])/3 - (50*d[18])/3 + (16*d[19])/3 + (133*d[20])/12 + 
       (35*d[21])/3 + 10*d[22] + d[23]/6 + (27*d[24])/4 - (4*d[26])/3 + 
       (4*d[27])/3 - d[29]/2 - (5*d[31])/3 - (5*d[32])/6 - (14*d[33])/3 + 
       (19*d[34])/3 - d[35]/2 - 2*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u] + (2*d[2] + 2*d[3] - 2*d[4] + (8*d[6])/3 + 
       d[10] - 4*d[12] + 2*d[13] + (20*d[15])/3 + 2*d[16] - 4*d[17] + 
       18*d[18] - (20*d[19])/3 + 4*d[20] - (20*d[21])/3 - (20*d[22])/3 + 
       (4*d[23])/3 - (8*d[24])/3 + d[29] + d[35] - 6*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (-d[2] + d[3] - d[4] + 2*d[5] - (11*d[6])/18 + d[10]/2 + 4*d[12] - 
       (5*d[13])/3 + (8*d[14])/3 + (2*d[15])/9 - (11*d[16])/3 + d[17]/6 - 
       (3*d[18])/2 - (2*d[19])/9 - (20*d[20])/3 - (2*d[21])/9 - (2*d[22])/9 - 
       (29*d[23])/9 - (35*d[24])/9 - d[29]/2 - d[35]/2 - 3*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (-2*d[2] + (14*d[3])/9 - (7*d[4])/3 + (64*d[5])/9 + (7*d[6])/9 + 
       (34*d[7])/9 + (55*d[8])/36 + (10*d[9])/3 + (22*d[10])/3 + 
       (53*d[11])/12 + d[12]/2 - (25*d[13])/9 + (17*d[14])/9 - 
       (19*d[15])/18 - (161*d[16])/36 - (14*d[17])/9 + (8*d[18])/9 + 
       (149*d[19])/36 + (497*d[20])/144 - (91*d[21])/18 + (139*d[22])/12 - 
       (7*d[23])/72 - (505*d[24])/48 - d[25]/4 - (7*d[26])/18 - 
       (97*d[27])/36 - (3*d[29])/4 + (2*d[31])/9 + d[32]/9 - (67*d[33])/9 + 
       (65*d[34])/9 - d[35]/2 - (16*d[36])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((4*d[2])/3 - (2*d[3])/3 + (2*d[4])/3 - (8*d[5])/3 + (5*d[6])/18 - 
       (2*d[7])/3 - (2*d[8])/3 + 2*d[9] - d[10] - 2*d[11] - (10*d[12])/3 + 
       (5*d[13])/3 - (7*d[14])/3 + d[15]/9 + (13*d[16])/3 - d[17]/2 + 
       (13*d[18])/6 - d[19]/9 + (19*d[20])/3 - d[21]/9 - d[22]/9 + 
       (23*d[23])/9 + (32*d[24])/9 + d[25]/3 + (2*d[29])/3 + d[35]/3 + 
       2*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (2*d[2] + 2*d[3] - 2*d[4] + 4*d[5] + (17*d[6])/6 + d[10] + (2*d[12])/3 - 
       (7*d[13])/3 - (5*d[14])/3 - (4*d[15])/3 - (19*d[16])/3 + (5*d[17])/2 - 
       (19*d[18])/6 + (4*d[19])/3 + d[20] + (4*d[21])/3 + (4*d[22])/3 - 
       d[23] - (26*d[24])/3 - d[29] - d[35] - 6*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (2*d[2] - (2*d[3])/3 + d[4] - (14*d[5])/3 + (2*d[6])/3 + (7*d[7])/12 - 
       d[8]/4 + (11*d[9])/4 - (2*d[10])/3 - (3*d[11])/2 - d[12] + 
       (5*d[15])/6 - (37*d[16])/6 + (5*d[17])/2 - (19*d[18])/6 + d[19]/3 - 
       (23*d[20])/16 - d[21]/6 - (2*d[22])/3 - (13*d[23])/24 - 
       (13*d[24])/48 - d[25]/6 + d[26]/6 + d[27]/6 - d[29]/3 + d[33] - 
       d[34] + 2*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + (-2*d[2] - 2*d[3] + 2*d[4] - 4*d[5] - 
       (17*d[6])/6 - d[10] - (2*d[12])/3 + (7*d[13])/3 + (5*d[14])/3 + 
       (4*d[15])/3 + (19*d[16])/3 - (5*d[17])/2 + (19*d[18])/6 - 
       (4*d[19])/3 - d[20] - (4*d[21])/3 - (4*d[22])/3 + d[23] + 
       (26*d[24])/3 + d[29] + d[35] + 6*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (-3*d[5] + d[11] + 4*d[16] + 12*d[24])*HPL[{0, 0, 1}, 1 - u]^2 + 
     ((71*d[6])/36 - (5*d[12])/4 + (5*d[13])/6 - (5*d[14])/6 + (5*d[15])/9 + 
       (5*d[16])/6 + (17*d[17])/12 + d[18]/4 - (5*d[19])/9 + (10*d[20])/3 - 
       (5*d[21])/9 - (5*d[22])/9 + (25*d[23])/36 + (5*d[24])/18)*
      HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - v] + 
     ((-10*d[3])/9 + d[4]/6 - (20*d[5])/9 - (50*d[6])/9 + (19*d[7])/144 + 
       (919*d[8])/144 - (209*d[9])/48 + (31*d[10])/12 - (125*d[11])/24 + 
       3*d[12] - (13*d[13])/9 + (49*d[14])/18 + (283*d[15])/36 - 
       (86*d[16])/9 + (47*d[17])/18 - (23*d[18])/18 - (52*d[19])/9 - 
       (2119*d[20])/144 - (151*d[21])/18 - (26*d[22])/3 - (67*d[23])/72 + 
       (49*d[24])/24 + (16*d[26])/9 + (5*d[27])/36 + (5*d[31])/9 + 
       (5*d[32])/18 + (25*d[33])/18 - (35*d[34])/18 + (5*d[36])/3)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (-d[2] - 2*d[3] + d[4] + 8*d[5] - (19*d[6])/6 - (3*d[7])/4 - 
       (33*d[8])/4 + (27*d[9])/4 - 7*d[10] + 12*d[11] + d[12]/2 + 2*d[14] - 
       (97*d[15])/6 + 14*d[16] - (29*d[17])/4 - (39*d[18])/4 + (85*d[19])/6 + 
       6*d[20] + (50*d[21])/3 + (103*d[22])/6 - (4*d[23])/3 - 
       (247*d[24])/12 - (3*d[26])/2 - d[27]/2 + d[31] + d[32]/4 - 3*d[33] + 
       2*d[34] + 3*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - v] + ((22*d[3])/3 - 10*d[4] + (11*d[5])/3 + 
       (5*d[6])/3 + (25*d[7])/6 - (35*d[8])/6 + (7*d[9])/2 - 8*d[10] + 
       9*d[11] + d[12] - (8*d[13])/3 - (8*d[14])/3 - (13*d[15])/3 + 
       (59*d[16])/3 - (19*d[17])/3 + (25*d[18])/3 - (5*d[19])/3 + 
       (127*d[20])/12 + (26*d[21])/3 - d[22] + (19*d[23])/6 + (83*d[24])/4 - 
       d[26]/3 + (4*d[27])/3 - (8*d[31])/3 - (4*d[32])/3 - (2*d[33])/3 + 
       (10*d[34])/3 - 14*d[36])*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v] + 
     ((-4*d[2])/3 - (191*d[6])/36 + (13*d[12])/4 - (5*d[13])/6 + 
       (5*d[14])/6 - (17*d[15])/9 - (5*d[16])/6 - (41*d[17])/12 - 
       (9*d[18])/4 + (17*d[19])/9 - (22*d[20])/3 + (17*d[21])/9 + 
       (17*d[22])/9 - (49*d[23])/36 + (19*d[24])/18)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((-4*d[2])/3 + (8*d[3])/3 - (8*d[4])/3 + (10*d[5])/3 + (16*d[6])/3 - 
       d[7]/6 - (37*d[8])/6 + (15*d[9])/2 + (4*d[10])/3 + (31*d[11])/3 - 
       3*d[12] + (8*d[13])/3 - 5*d[14] - 8*d[15] + 10*d[16] - (10*d[17])/3 + 
       (4*d[18])/3 + (20*d[19])/3 + (239*d[20])/12 + (44*d[21])/3 + 
       (28*d[22])/3 + (55*d[23])/6 + (47*d[24])/4 + d[25]/3 - (4*d[26])/3 + 
       (2*d[27])/3 - (4*d[31])/3 - (2*d[32])/3 - (4*d[33])/3 + (8*d[34])/3 - 
       4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + (-d[4] - (5*d[5])/2 + (14*d[6])/3 - 
       (11*d[7])/4 - (5*d[8])/4 + (7*d[9])/4 + (35*d[10])/4 - 3*d[11] - 
       (7*d[12])/2 - 2*d[14] + (23*d[15])/3 - 9*d[16] + (7*d[17])/2 + 
       (13*d[18])/2 - (37*d[19])/6 + (7*d[20])/2 - (23*d[21])/3 - 
       (43*d[22])/6 + (4*d[23])/3 + (187*d[24])/12 + (3*d[27])/2 + d[31]/2 + 
       d[32]/2 - d[34] - 3*d[36])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + ((2*d[1])/3 + 3*d[2] + (155*d[6])/36 - 
       (7*d[12])/4 - (5*d[13])/6 + (5*d[14])/6 + (17*d[15])/9 - (5*d[16])/6 + 
       (29*d[17])/12 + (29*d[18])/12 - (17*d[19])/9 + (13*d[20])/3 - 
       (17*d[21])/9 - (17*d[22])/9 + (25*d[23])/36 - (17*d[24])/9)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     (d[2] - (13*d[3])/9 + d[4] + (25*d[5])/36 - (17*d[6])/9 - 
       (17*d[7])/144 - (29*d[8])/144 - (17*d[9])/48 - (11*d[10])/4 - 
       (61*d[11])/24 + (13*d[12])/12 - (13*d[13])/9 + (95*d[14])/36 - 
       (11*d[15])/36 + (31*d[16])/36 - (13*d[17])/18 + (23*d[18])/9 + 
       (2*d[19])/9 - (203*d[20])/72 - (20*d[21])/9 + d[22]/3 - 
       (149*d[23])/36 - (113*d[24])/16 - d[25]/4 + (11*d[26])/18 - 
       (25*d[27])/36 + d[31]/18 + d[32]/36 - (10*d[33])/9 + (19*d[34])/18 + 
       (25*d[36])/6)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - v] + (-d[1]/6 - (3*d[2])/2 - (35*d[6])/36 - 
       d[12]/4 + (5*d[13])/6 - (5*d[14])/6 - (5*d[15])/9 + (5*d[16])/6 - 
       (5*d[17])/12 - (5*d[18])/12 + (5*d[19])/9 - d[20]/3 + (5*d[21])/9 + 
       (5*d[22])/9 - d[23]/36 + (5*d[24])/9)*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - v] + (-2*d[2] - d[4] + (29*d[6])/18 - (3*d[12])/2 + 
       (5*d[13])/3 - (7*d[14])/6 + (43*d[15])/9 + (5*d[16])/3 + 
       (11*d[17])/6 - (3*d[18])/2 - (52*d[19])/9 - d[20]/3 - (43*d[21])/9 - 
       (61*d[22])/9 + (49*d[23])/18 + (151*d[24])/18 + d[25]/2)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((22*d[3])/9 - (11*d[4])/3 - (47*d[5])/18 - (5*d[6])/18 - (29*d[7])/72 + 
       (223*d[8])/72 + (19*d[9])/24 + (26*d[10])/3 - (11*d[11])/12 - 
       (9*d[12])/2 - (2*d[13])/9 - (7*d[14])/18 + (50*d[15])/9 - 
       (97*d[16])/9 + (32*d[17])/9 - (17*d[18])/9 - (7*d[19])/18 - 
       (145*d[20])/72 - (40*d[21])/9 - (35*d[22])/6 - (37*d[23])/36 + 
       d[24]/3 + (25*d[26])/18 + (17*d[27])/18 - (2*d[31])/9 - d[32]/9 + 
       (4*d[33])/9 - (2*d[34])/9 + d[35]/2 - (20*d[36])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (2*d[2] + (8*d[5])/3 - (35*d[6])/18 + (7*d[12])/6 - (5*d[13])/3 + 
       d[14] - (46*d[15])/9 - (5*d[16])/3 - (13*d[17])/6 + (13*d[18])/6 + 
       (46*d[19])/9 + d[20]/2 + (46*d[21])/9 + (46*d[22])/9 - (43*d[23])/18 - 
       (157*d[24])/18 - (2*d[25])/3)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v] + (d[4] - (11*d[6])/3 + (3*d[14])/2 - 
       (17*d[15])/3 + d[17] - 11*d[18] + (14*d[19])/3 - 3*d[20] + 
       (23*d[21])/3 + (17*d[22])/3 - (10*d[23])/3 - (17*d[24])/6 + d[25]/2)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((4*d[3])/3 - 4*d[4] + (29*d[5])/3 + (8*d[6])/3 - (11*d[7])/6 - 
       (47*d[8])/6 + (27*d[9])/2 + 16*d[11] - 5*d[12] - (2*d[13])/3 - 
       (8*d[14])/3 - (16*d[15])/3 + (29*d[16])/3 - (10*d[17])/3 - 
       (20*d[18])/3 + (13*d[19])/3 + (133*d[20])/12 + (26*d[21])/3 + 
       9*d[22] + d[23]/6 + (21*d[24])/4 - (4*d[26])/3 + (4*d[27])/3 - 
       (2*d[31])/3 - d[32]/3 - (14*d[33])/3 + (16*d[34])/3 - 2*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (-d[4] + (11*d[6])/3 - (3*d[14])/2 + (17*d[15])/3 - d[17] + 11*d[18] - 
       (14*d[19])/3 + 3*d[20] - (23*d[21])/3 - (17*d[22])/3 + (10*d[23])/3 + 
       (17*d[24])/6 - d[25]/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + ((4*d[2])/3 + (4*d[4])/3 - d[6]/18 + 
       (11*d[12])/6 - (5*d[13])/3 + 5*d[14] + (46*d[15])/9 - (5*d[16])/3 + 
       d[17]/6 - (11*d[18])/6 - (46*d[19])/9 - (55*d[20])/6 - (46*d[21])/9 - 
       (46*d[22])/9 + (19*d[23])/18 + (127*d[24])/18 + (2*d[25])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((-29*d[3])/9 + 3*d[4] + (47*d[5])/9 + d[6]/18 + (7*d[7])/72 - 
       (293*d[8])/72 + (91*d[9])/24 - (7*d[10])/2 + (137*d[11])/12 - 
       d[12]/3 - (2*d[13])/9 + (13*d[14])/9 - (34*d[15])/9 + (95*d[16])/9 - 
       (29*d[17])/18 - (139*d[18])/18 + (10*d[19])/9 + (199*d[20])/36 + 
       (26*d[21])/9 + (8*d[22])/3 - (35*d[23])/18 - (33*d[24])/8 - d[25]/2 + 
       d[26]/18 - (13*d[27])/18 - (2*d[31])/9 + (25*d[32])/18 - (5*d[33])/9 - 
       (2*d[34])/9 + d[35]/2 - (5*d[36])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (-d[2] - d[4] + (7*d[6])/18 - (3*d[12])/2 + (5*d[13])/3 - (25*d[14])/6 - 
       (43*d[15])/9 + (5*d[16])/3 + d[17]/6 + (7*d[18])/6 + (34*d[19])/9 + 
       (25*d[20])/3 + (43*d[21])/9 + (25*d[22])/9 - (61*d[23])/18 - 
       (121*d[24])/18 - d[25]/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + (-d[1]/2 - d[3] + d[4] - d[5] + 2*d[7] - 
       6*d[9] - d[10] + d[16]/2 - 4*d[19] + d[21] - 4*d[22] - d[24]/2 + 
       d[32]/2 - 3*d[34])*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((-5*d[4])/3 - d[6] - (7*d[12])/12 - (5*d[13])/6 + (5*d[14])/6 + 
       (5*d[15])/6 - (5*d[16])/6 + 5*d[17] - (25*d[18])/6 - (5*d[19])/6 + 
       (7*d[21])/6 - (5*d[22])/2 - (5*d[23])/12 + (7*d[24])/6)*
      HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - w] + 
     (-2*d[3] + (29*d[4])/6 - (5*d[5])/12 - (15*d[6])/4 - (61*d[7])/48 - 
       (61*d[8])/48 + (27*d[9])/16 - (5*d[10])/3 - (79*d[11])/24 + d[12]/12 + 
       (5*d[13])/6 + (5*d[14])/6 + (5*d[15])/12 + (5*d[16])/3 - (7*d[17])/2 - 
       (19*d[18])/6 - (7*d[19])/12 - (647*d[20])/96 - (53*d[21])/12 + 
       (29*d[22])/12 - (21*d[23])/16 - (193*d[24])/96 - (5*d[27])/3 + 
       (5*d[31])/6 + (5*d[32])/12 - (5*d[34])/6 + (5*d[36])/2)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     ((10*d[3])/3 - 7*d[4] + (29*d[5])/6 + (77*d[6])/18 + (5*d[7])/2 - 
       (17*d[8])/6 + 4*d[9] + 2*d[10] + (83*d[11])/6 - (5*d[12])/4 - 
       d[13]/2 - (17*d[14])/6 - (109*d[15])/18 + 6*d[16] - (19*d[17])/6 + 
       (2*d[18])/3 + (41*d[19])/9 + (125*d[20])/12 + (223*d[21])/18 + 
       (41*d[22])/9 + (71*d[23])/36 + (17*d[24])/9 - (2*d[26])/3 + 
       (5*d[27])/3 - (4*d[31])/3 - (2*d[32])/3 - (4*d[33])/3 + (8*d[34])/3 - 
       4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((5*d[3])/18 + (5*d[4])/4 - (91*d[5])/36 - (53*d[6])/18 - 
       (67*d[7])/144 + (827*d[8])/144 - (175*d[9])/48 + 3*d[10] - 
       (185*d[11])/24 + (5*d[12])/3 + (5*d[13])/18 + (17*d[14])/18 + 
       (97*d[15])/72 - (40*d[16])/9 + (23*d[17])/36 + (91*d[18])/36 - 
       (7*d[19])/18 + (35*d[20])/288 - (37*d[21])/9 - (7*d[22])/3 - 
       (37*d[23])/144 - (291*d[24])/32 + (5*d[26])/9 - (133*d[27])/72 + 
       (5*d[31])/18 + (5*d[32])/36 + (35*d[33])/18 - (20*d[34])/9 - 
       (5*d[36])/3)*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - w] + 
     (2*d[4] + (4*d[6])/3 + d[10]/2 + (61*d[12])/12 + (17*d[13])/6 - 
       (17*d[14])/6 + (5*d[15])/2 + (7*d[16])/3 - 4*d[17] + (31*d[18])/6 - 
       (5*d[19])/2 - (13*d[21])/2 - d[22]/2 - (35*d[23])/12 - (5*d[24])/4 + 
       d[26] - d[32]/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + (-2*d[1] + (4*d[3])/3 - (14*d[4])/3 - 
       (4*d[6])/3 - 2*d[7] + (11*d[8])/3 - (8*d[9])/3 + (16*d[10])/3 + 
       (19*d[11])/3 + 4*d[12] - 2*d[13] + (5*d[14])/3 - 5*d[15] - 
       (25*d[16])/3 - (4*d[17])/3 + (32*d[18])/3 + (22*d[19])/3 + 
       (13*d[20])/6 + (25*d[21])/3 + (10*d[22])/3 + 2*d[23] - (65*d[24])/4 + 
       d[26]/3 + (7*d[27])/3 - d[32] + (4*d[33])/3 - (2*d[34])/3 + d[35]/3 - 
       2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + ((-4*d[3])/3 + (19*d[5])/3 - (5*d[6])/18 - 
       (19*d[7])/6 - (38*d[8])/3 + (25*d[9])/2 - (9*d[10])/2 + (19*d[11])/2 - 
       (7*d[12])/4 - d[13]/6 + (3*d[14])/2 - (58*d[15])/9 + (43*d[16])/4 - 
       (9*d[17])/2 - (43*d[18])/6 + (71*d[19])/18 + (21*d[20])/4 + 
       (64*d[21])/9 + (131*d[22])/18 - (119*d[23])/36 + (16*d[24])/9 - 
       (2*d[26])/3 + d[27]/6 + (2*d[31])/3 + d[32]/12 - (10*d[33])/3 + 
       (8*d[34])/3 + 2*d[36])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + (-2*d[4] - d[5] - 4*d[6] + d[9] - (3*d[10])/2 - 
       (15*d[12])/2 - 2*d[13] + 2*d[14] - 6*d[15] - 6*d[17] - 6*d[18] + 
       5*d[19] - (13*d[20])/4 + 9*d[21] + 3*d[22] + (17*d[23])/2 + 
       (15*d[24])/4 - d[26] + d[32])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w] + ((10*d[3])/3 - (7*d[4])/2 + (65*d[5])/12 + 
       (13*d[6])/2 + (7*d[7])/6 - (53*d[8])/6 + (45*d[9])/4 - (11*d[10])/4 + 
       (35*d[11])/4 - (29*d[12])/4 - (2*d[13])/3 - (41*d[14])/12 - 
       (15*d[15])/4 + (191*d[16])/12 - (7*d[17])/3 - (43*d[18])/6 + 
       (5*d[19])/4 + (371*d[20])/24 + (7*d[21])/3 + (77*d[22])/12 - 
       (7*d[23])/6 + (271*d[24])/24 - (4*d[26])/3 - (7*d[27])/6 - 
       (8*d[31])/3 - (5*d[32])/6 - (31*d[33])/6 + (47*d[34])/6 - d[35]/4 - 
       2*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((10*d[6])/3 + 3*d[12] + (8*d[15])/3 + (16*d[17])/3 + 4*d[18] - 
       (8*d[19])/3 + (13*d[20])/4 - (8*d[21])/3 - (8*d[22])/3 - 
       (31*d[23])/6 - (7*d[24])/6)*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w] + 
     (-2*d[4] - (10*d[6])/3 + (29*d[12])/6 - (5*d[13])/3 + (8*d[14])/3 + 
       (13*d[15])/3 - (8*d[16])/3 - (7*d[18])/3 - (10*d[19])/3 - 
       (25*d[20])/4 - (7*d[21])/3 - (16*d[22])/3 + (65*d[24])/12 - d[32] + 
       2*d[34] + d[35] + 6*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + (-4*d[3] + (10*d[4])/3 + (5*d[5])/2 + 
       (13*d[6])/6 - (97*d[7])/24 - (265*d[8])/24 + (125*d[9])/24 - 2*d[10] + 
       (43*d[11])/12 - (23*d[12])/6 + d[13]/3 + (5*d[14])/3 - d[15]/2 + 
       (16*d[16])/3 - (13*d[17])/6 - (9*d[18])/2 - d[19]/2 + (121*d[20])/48 + 
       (3*d[21])/2 + (25*d[22])/6 + (17*d[23])/24 + (127*d[24])/48 - d[26] + 
       (5*d[27])/3 + d[29]/6 + d[31]/3 - d[32]/2 - (10*d[33])/3 + 
       (5*d[34])/3 + 7*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + (2*d[4] + (10*d[6])/3 - (29*d[12])/6 + 
       (5*d[13])/3 - (8*d[14])/3 - (13*d[15])/3 + (8*d[16])/3 + (7*d[18])/3 + 
       (10*d[19])/3 + (25*d[20])/4 + (7*d[21])/3 + (16*d[22])/3 - 
       (65*d[24])/12 + d[32] - 2*d[34] - d[35] - 6*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     ((-2*d[3])/3 + 2*d[4] - (10*d[6])/9 - (4*d[7])/3 - (2*d[8])/3 + 
       (2*d[9])/3 - (2*d[10])/3 - (4*d[11])/3 - (19*d[12])/6 + (5*d[13])/3 + 
       (17*d[15])/9 + (4*d[16])/3 + d[17]/3 + d[18]/3 - (14*d[19])/9 + 
       (5*d[20])/12 - (35*d[21])/9 + (4*d[22])/9 + (28*d[23])/9 + 
       (235*d[24])/36 - d[32]/3 + (2*d[34])/3 + d[35]/3 + 2*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     ((11*d[3])/9 + (17*d[4])/2 + (25*d[5])/9 - (55*d[6])/18 - 
       (439*d[7])/72 + (527*d[8])/72 - (103*d[9])/24 + 15*d[10] - 
       (25*d[11])/6 + (13*d[12])/3 - (7*d[13])/9 - (17*d[14])/18 - 
       (31*d[15])/18 - (389*d[16])/36 - (35*d[17])/9 + (38*d[18])/9 + 
       (26*d[19])/9 - (85*d[20])/144 - (79*d[21])/18 - (5*d[22])/3 - 
       (13*d[23])/72 - (263*d[24])/16 + (17*d[26])/18 + (71*d[27])/36 - 
       d[29]/4 + (2*d[31])/9 + (28*d[32])/9 + (23*d[33])/9 - (25*d[34])/9 - 
       d[35]/2 - (31*d[36])/3)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + (-2*d[4] + d[6]/9 + (5*d[12])/2 - (5*d[13])/3 - 
       (5*d[14])/6 - (20*d[15])/9 - (7*d[16])/6 - (2*d[17])/3 + d[18]/3 + 
       (31*d[19])/18 + (5*d[20])/12 + (38*d[21])/9 - (5*d[22])/18 - 
       (28*d[23])/9 - (271*d[24])/36 + d[32]/2 - d[34] - d[35]/2 - 3*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     ((-26*d[6])/3 - 2*d[12] + 3*d[14] - (8*d[15])/3 + d[16] + 4*d[17] - 
       18*d[18] + (5*d[19])/3 - (23*d[20])/4 + (8*d[21])/3 + (5*d[22])/3 - 
       (5*d[23])/6 + (107*d[24])/12 + d[32] - 2*d[34] + d[35] - 6*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((7*d[3])/3 - 5*d[4] + (55*d[5])/6 + (14*d[6])/3 - (13*d[7])/3 - 
       (65*d[8])/6 + (37*d[9])/2 + 4*d[10] + (41*d[11])/2 - 8*d[12] - 
       (2*d[13])/3 - (8*d[14])/3 - (17*d[15])/6 + (35*d[16])/3 - 
       (16*d[17])/3 - (8*d[18])/3 + (10*d[19])/3 + (103*d[20])/12 + 
       (20*d[21])/3 + 10*d[22] + (55*d[23])/6 + (79*d[24])/4 - (4*d[26])/3 + 
       (11*d[27])/6 - (2*d[31])/3 - (11*d[32])/6 - (17*d[33])/3 + 
       (22*d[34])/3 - d[35]/2 - 2*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + ((26*d[6])/3 + 2*d[12] - 3*d[14] + 
       (8*d[15])/3 - d[16] - 4*d[17] + 18*d[18] - (5*d[19])/3 + 
       (23*d[20])/4 - (8*d[21])/3 - (5*d[22])/3 + (5*d[23])/6 - 
       (107*d[24])/12 - d[32] + 2*d[34] - d[35] + 6*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (2*d[3] - 2*d[4] + 8*d[9] + d[11] + 4*d[19] + 2*d[21] + 4*d[22] - 
       4*d[24] - 3*d[32] + 2*d[34])*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + (6*d[3] - 6*d[4] - d[5] + 4*d[7] - 3*d[9] - 
       d[10] - 5*d[11] + d[16] - 2*d[19] + 2*d[21] - 4*d[22] + 3*d[24] - 
       (5*d[32])/2 + 2*d[34])*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (d[3] - 2*d[4] + d[9] - 3*d[11] + d[16]/2 - 2*d[19] + 3*d[21] - 
       3*d[22] - d[24]/2 + d[34])*HPL[{0, 0, 1}, 1 - w]^2 + 
     (d[2] + d[4] - (59*d[6])/12 + (23*d[12])/4 - 2*d[13] + 2*d[14] + 
       d[15]/3 - 2*d[16] - (17*d[17])/4 + 2*d[18] + d[19]/6 - 10*d[20] - 
       (13*d[21])/12 + (7*d[22])/6 - (35*d[23])/6 - (43*d[24])/12)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((16*d[3])/3 - 7*d[4] + (7*d[5])/6 - (29*d[6])/36 + (2*d[7])/3 - 
       (46*d[8])/3 + (15*d[9])/2 - 10*d[10] + (39*d[11])/4 + 9*d[12] - 
       (7*d[13])/2 + (13*d[14])/6 - (152*d[15])/9 + (137*d[16])/6 - 
       (67*d[17])/4 + (73*d[18])/12 + (89*d[19])/9 + (23*d[20])/2 + 
       (337*d[21])/18 + (86*d[22])/9 - (41*d[23])/18 - (7*d[24])/9 + 
       d[26]/6 + d[27]/3 - (8*d[31])/3 - (4*d[32])/3 - (2*d[33])/3 + 
       (10*d[34])/3 - 8*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u] + (-d[2] + (19*d[3])/9 - (19*d[4])/6 + 
       (107*d[5])/36 + (5*d[6])/9 + (155*d[7])/36 - (43*d[8])/36 + d[9]/6 - 
       (41*d[10])/6 + (109*d[11])/12 + (3*d[12])/2 - (50*d[13])/9 + 
       (7*d[14])/9 - (337*d[15])/36 + (497*d[16])/36 - (229*d[17])/36 + 
       (163*d[18])/36 + (217*d[19])/36 + (1169*d[20])/288 + (365*d[21])/36 + 
       (101*d[22])/12 - (775*d[23])/144 - (385*d[24])/96 - (19*d[26])/36 + 
       d[27]/9 - (19*d[31])/18 - (19*d[32])/36 - (43*d[33])/18 + 
       (31*d[34])/9 - (19*d[36])/6)*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u] + 
     ((8*d[6])/3 + d[11] - 2*d[12] + 2*d[13] - 2*d[14] - (4*d[15])/3 + 
       2*d[16] + 2*d[17] - 2*d[18] + (4*d[19])/3 + 2*d[20] + (4*d[21])/3 + 
       (4*d[22])/3 + (4*d[23])/3 + (4*d[24])/3)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((-2*d[1])/3 - (2*d[2])/3 + (16*d[3])/3 - (16*d[4])/3 - (14*d[5])/3 + 
       (8*d[6])/3 + (25*d[7])/6 + (29*d[8])/6 - (25*d[9])/6 + (8*d[10])/3 - 
       (31*d[11])/3 - (25*d[12])/3 - (2*d[13])/3 - (8*d[14])/3 - d[15]/3 + 
       (5*d[16])/3 + (8*d[17])/3 + (41*d[18])/3 - (8*d[19])/3 + 
       (109*d[20])/6 + (2*d[21])/3 - 6*d[22] + 11*d[23] + (223*d[24])/12 + 
       d[26]/3 - (4*d[27])/3 - (8*d[31])/3 - (4*d[32])/3 + 2*d[33] + 
       (2*d[34])/3 - 8*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + (d[2]/3 - (14*d[3])/3 + (10*d[4])/3 - 
       (13*d[5])/3 + (35*d[6])/36 - (7*d[7])/2 + (41*d[8])/6 - (7*d[9])/3 + 
       (7*d[10])/2 + (7*d[11])/6 + 9*d[12] - (3*d[13])/2 + (23*d[14])/6 + 
       (13*d[15])/18 - (85*d[16])/6 + (9*d[17])/4 + (23*d[18])/12 + 
       (13*d[19])/9 - (7*d[20])/12 + (17*d[21])/18 - (23*d[22])/9 - 
       (109*d[23])/18 - (1355*d[24])/36 + d[26] + (4*d[27])/3 - d[28]/3 + 
       d[29]/3 - (4*d[30])/3 + 4*d[31] + 2*d[32] + 4*d[33] - 8*d[34] + 
       2*d[36])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (-d[2] - (47*d[6])/12 - (3*d[11])/2 + d[12]/3 - (7*d[13])/6 + 
       (7*d[14])/6 - (7*d[16])/6 - (11*d[17])/4 + (5*d[18])/12 + 
       (15*d[20])/4 + (7*d[23])/3 + d[24]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((8*d[3])/3 - (19*d[4])/6 + d[5] - (4*d[6])/3 + (37*d[7])/24 + 
       (79*d[8])/24 - (19*d[9])/8 - (13*d[10])/6 + (25*d[11])/12 - 
       (5*d[12])/3 - (4*d[13])/3 - (2*d[14])/3 - (31*d[15])/12 + 
       (29*d[16])/12 - (23*d[17])/12 - (27*d[18])/4 + 2*d[19] - 
       (305*d[20])/96 + (47*d[21])/12 + (5*d[22])/2 - (35*d[23])/16 - 
       (449*d[24])/96 - d[25]/6 - (5*d[26])/12 + d[27]/4 - (4*d[31])/3 - 
       d[32]/3 - d[33]/2 + (11*d[34])/6 - 4*d[36])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     (d[2] + (5*d[6])/4 + (5*d[12])/3 - (5*d[13])/6 + (5*d[14])/6 + 
       (4*d[15])/3 - (5*d[16])/6 + (3*d[17])/4 + (19*d[18])/12 - 
       (4*d[19])/3 - (23*d[20])/4 - (4*d[21])/3 - (4*d[22])/3 - 
       (11*d[23])/3 - (11*d[24])/6)*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u] + 
     (2*d[4] - (13*d[6])/3 - 4*d[12] - (13*d[15])/3 + 2*d[17] - 14*d[18] + 
       (7*d[19])/3 - 6*d[20] + (22*d[21])/3 + (13*d[22])/3 - (2*d[23])/3 - 
       (8*d[24])/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + ((25*d[3])/6 - (19*d[4])/2 + (28*d[5])/3 + 
       (47*d[6])/6 - (7*d[7])/6 - (155*d[8])/12 + 11*d[9] - 2*d[10] + 
       16*d[11] - 2*d[12] - (16*d[13])/3 - (4*d[14])/3 - (133*d[15])/6 + 
       (40*d[16])/3 - (41*d[17])/3 - (17*d[18])/6 + (103*d[19])/6 + 
       (451*d[20])/24 + (103*d[21])/3 + 18*d[22] - (83*d[23])/12 - 
       (163*d[24])/8 - (8*d[26])/3 + (41*d[27])/12 - d[28]/2 - d[29]/4 - 
       2*d[30] - (4*d[31])/3 - (7*d[32])/6 - (17*d[33])/6 + (14*d[34])/3 + 
       d[35]/2 - 7*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (-2*d[4] + (13*d[6])/3 + 4*d[12] + 
       (13*d[15])/3 - 2*d[17] + 14*d[18] - (7*d[19])/3 + 6*d[20] - 
       (22*d[21])/3 - (13*d[22])/3 + (2*d[23])/3 + (8*d[24])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (2*d[4] + (85*d[6])/18 - 7*d[12] + (19*d[13])/3 - (19*d[14])/3 - 
       (22*d[15])/9 + (19*d[16])/3 + (5*d[17])/3 + (17*d[18])/2 + 
       (31*d[19])/9 + (143*d[20])/6 + (17*d[21])/18 + (49*d[22])/9 + 
       (40*d[23])/9 - (157*d[24])/18)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (-2*d[2] + (79*d[3])/18 - (41*d[4])/6 - 
       (119*d[5])/9 - (55*d[6])/18 - (137*d[7])/36 + (925*d[8])/36 - 
       (293*d[9])/12 + (46*d[10])/3 - (64*d[11])/3 + (19*d[12])/2 - 
       (58*d[13])/9 + (11*d[14])/9 - (17*d[15])/9 - (649*d[16])/18 + 
       (47*d[17])/18 + (173*d[18])/9 + (74*d[19])/9 - (2353*d[20])/144 + 
       (37*d[21])/9 - (13*d[22])/6 - (337*d[23])/72 - (1507*d[24])/48 + 
       (34*d[26])/9 + (97*d[27])/18 + d[29]/4 - (4*d[31])/9 + (7*d[32])/9 + 
       (115*d[33])/18 - (76*d[34])/9 + d[35] - (40*d[36])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (-2*d[4] + d[5]/3 - (121*d[6])/18 - (2*d[10])/3 - (2*d[11])/3 + d[12] - 
       (19*d[13])/3 + (13*d[14])/3 + (49*d[15])/9 - 5*d[16] - (29*d[17])/6 - 
       (31*d[18])/6 - (52*d[19])/9 - (97*d[20])/4 - (37*d[21])/9 - 
       (70*d[22])/9 - (17*d[23])/18 + (395*d[24])/36 - (2*d[25])/3 + 
       (4*d[26])/3)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (-2*d[4] + (11*d[6])/6 - (7*d[12])/3 - 
       (19*d[13])/3 + (19*d[14])/3 + (14*d[15])/3 - (19*d[16])/3 + 
       (5*d[17])/2 + (29*d[18])/6 - (8*d[19])/3 - (13*d[20])/2 - 
       (5*d[21])/3 - (14*d[22])/3 - 7*d[23] - (109*d[24])/6)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (-3*d[3] + (22*d[4])/3 - (5*d[5])/6 - (4*d[6])/3 + (17*d[7])/6 - 
       (41*d[8])/3 + 2*d[9] - 20*d[10] - (11*d[11])/2 - (37*d[12])/6 + 
       (11*d[13])/3 + 6*d[14] - (71*d[15])/6 + 29*d[16] - (25*d[17])/6 - 
       (67*d[18])/6 + (41*d[19])/6 + (115*d[20])/16 + (9*d[21])/2 + 
       (71*d[22])/6 + (3*d[23])/8 + (13*d[24])/48 - d[26]/2 - (35*d[27])/6 + 
       d[29]/6 - d[31]/3 - d[32]/6 - (13*d[33])/3 + 5*d[34] + 11*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (2*d[4] - (11*d[6])/6 + (7*d[12])/3 + (19*d[13])/3 - (19*d[14])/3 - 
       (14*d[15])/3 + (19*d[16])/3 - (5*d[17])/2 - (29*d[18])/6 + 
       (8*d[19])/3 + (13*d[20])/2 + (5*d[21])/3 + (14*d[22])/3 + 7*d[23] + 
       (109*d[24])/6)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + (-4*d[3] + 4*d[4] - 4*d[6] - 6*d[9] + 2*d[10] - 
       8*d[11] + 12*d[15] - 5*d[16] - 16*d[17] + 40*d[18] - 10*d[19] - 
       12*d[21] - 10*d[22] - 27*d[24] + 2*d[29] + 4*d[31] + 2*d[32] - 
       4*d[34] + 2*d[35])*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (4*d[4] - 2*d[6] - 3*d[14] - 10*d[15] - 2*d[17] + 2*d[18] + 12*d[19] + 
       8*d[20] + 17*d[21] + 18*d[22] - 2*d[23] - 12*d[24] - (3*d[25])/2 + 
       d[26])*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (2*d[3] - 2*d[4] - 2*d[11] - 6*d[14] - 8*d[15] - 2*d[17] + 2*d[18] + 
       8*d[19] + (17*d[20])/2 + 8*d[21] + 8*d[22] - 3*d[23] - (15*d[24])/2 - 
       2*d[31] - d[32] + 2*d[34] - 2*d[35])*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + (-d[4] + d[6]/2 + d[10] + d[11] - d[15] - 
       2*d[16] + (9*d[17])/2 - (31*d[18])/2 - d[19] - (5*d[20])/2 + 
       12*d[21] - 2*d[22] + 3*d[23] + (21*d[24])/2 - (5*d[26])/2)*
      HPL[{0, 1, 1}, 1 - u]^2 + ((2*d[4])/3 - (19*d[6])/9 + (19*d[12])/12 + 
       (5*d[13])/6 - (5*d[14])/6 - (10*d[15])/9 + (5*d[16])/6 - d[17]/4 - 
       (9*d[18])/4 + (17*d[19])/18 - (2*d[20])/3 + (4*d[21])/9 + 
       (29*d[22])/18 - (29*d[23])/36 + (29*d[24])/18)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1, 1}, 1 - v] + ((14*d[3])/9 - (17*d[4])/6 + (49*d[5])/36 + 
       (25*d[6])/9 - (293*d[7])/144 - (257*d[8])/144 + (211*d[9])/48 + 
       (37*d[10])/12 + (139*d[11])/24 - d[12] + (11*d[13])/9 - 
       (83*d[14])/18 - (65*d[15])/36 - (17*d[16])/36 - (209*d[17])/36 - 
       (47*d[18])/18 + (17*d[19])/9 + (2567*d[20])/144 + (89*d[21])/18 + 
       (5*d[22])/6 - (133*d[23])/72 - (145*d[24])/12 - (7*d[26])/18 + 
       (47*d[27])/36 - (7*d[31])/9 - (7*d[32])/18 + d[33]/18 + 
       (13*d[34])/18 - (7*d[36])/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + (d[2] + 4*d[3] - 4*d[4] - (13*d[5])/2 + d[6] + 
       2*d[7] + (25*d[8])/2 - (19*d[9])/2 + (9*d[10])/2 + 3*d[11] + 
       (11*d[12])/2 - d[13] - (7*d[14])/2 + 8*d[15] - (31*d[16])/2 - 
       5*d[17] + 5*d[18] - (15*d[19])/2 - 12*d[20] - 3*d[21] - (25*d[22])/2 + 
       5*d[23] - 2*d[24] + (3*d[27])/2 - 2*d[31] - d[32] + 5*d[33] - 
       3*d[34] - 6*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - v] + ((-2*d[4])/3 + (175*d[6])/36 - (2*d[9])/3 - 
       d[11]/3 - (17*d[12])/12 - (5*d[13])/6 + (5*d[14])/6 + (52*d[15])/9 - 
       d[16]/2 + (3*d[17])/4 + (95*d[18])/12 - (49*d[19])/9 + 6*d[20] - 
       (46*d[21])/9 - (55*d[22])/9 + (83*d[23])/36 - d[24]/9 + d[26]/6)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((-2*d[1])/3 - (2*d[3])/3 + (2*d[4])/3 - 4*d[5] - (10*d[6])/3 - 3*d[7] - 
       (2*d[8])/3 - (13*d[9])/3 - 2*d[10] - (32*d[11])/3 + (35*d[12])/3 - 
       (16*d[13])/3 + (14*d[14])/3 - (8*d[15])/3 - (11*d[16])/3 + 2*d[17] + 
       (5*d[18])/3 + (7*d[19])/3 - (109*d[20])/4 + 3*d[21] - d[22]/3 - 
       (13*d[23])/3 + (7*d[24])/6 + (4*d[26])/3 - d[27]/3 - d[28]/3 + 
       (4*d[30])/3 + (2*d[31])/3 + d[32]/3 + 2*d[33] - (8*d[34])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (2*d[3] - d[4] + (3*d[5])/2 + d[6] + (3*d[7])/2 - (27*d[8])/2 + 
       11*d[9] - (5*d[10])/2 + (3*d[11])/2 - (15*d[12])/2 - 2*d[13] + 
       3*d[14] - (7*d[15])/2 + 16*d[16] - d[17]/2 - (5*d[18])/2 - d[19]/2 + 
       19*d[20] + 3*d[21] + (5*d[22])/2 + 6*d[23] + (55*d[24])/2 - d[26] - 
       2*d[27] - 2*d[31] - d[32] - 2*d[33] + 4*d[34])*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((-193*d[6])/36 + d[11] + (9*d[12])/4 - (5*d[13])/6 - d[14]/6 - 
       (95*d[15])/18 - (5*d[16])/6 - (29*d[17])/12 - (85*d[18])/12 + 
       (46*d[19])/9 - (167*d[20])/12 + (46*d[21])/9 + (46*d[22])/9 - 
       (73*d[23])/18 - (35*d[24])/9 - d[25]/6 + d[32]/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     (-d[2] + (13*d[3])/18 - d[4]/2 + (43*d[5])/9 + (115*d[6])/36 + 
       (193*d[7])/144 - (1511*d[8])/144 + (517*d[9])/48 + (7*d[10])/4 + 
       (191*d[11])/24 - (101*d[12])/12 + (20*d[13])/9 + d[14]/18 - 
       (71*d[15])/36 + (457*d[16])/36 - (41*d[17])/36 - (163*d[18])/36 + 
       (23*d[19])/36 + (557*d[20])/36 + (29*d[21])/18 + (55*d[22])/12 + 
       (43*d[23])/36 + (147*d[24])/16 - (29*d[26])/36 - (5*d[27])/18 + 
       d[28]/4 - d[30] - (7*d[31])/9 - (7*d[32])/18 - (53*d[33])/18 + 
       (67*d[34])/18 + d[36]/6)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v] + ((85*d[6])/36 - 3*d[12] + (5*d[13])/6 - 
       d[14]/3 + (7*d[15])/9 + (5*d[16])/6 + (19*d[17])/12 + (19*d[18])/12 - 
       (7*d[19])/9 + (55*d[20])/6 - (7*d[21])/9 - (7*d[22])/9 + 
       (26*d[23])/9 + (11*d[24])/9)*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v] + 
     ((-67*d[6])/18 + (17*d[12])/2 - (7*d[13])/3 + (16*d[14])/3 - 
       (5*d[15])/9 - (7*d[16])/3 - (14*d[17])/3 + (17*d[18])/2 + 
       (5*d[19])/9 - (79*d[20])/12 + (5*d[21])/9 + (5*d[22])/9 - 
       (103*d[23])/9 - (559*d[24])/36 + d[28]/2 + d[29]/2 + 2*d[30] + d[35])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     ((-35*d[3])/9 + (7*d[4])/3 + (20*d[5])/9 + (163*d[6])/18 - 
       (347*d[7])/72 - (1607*d[8])/72 + (193*d[9])/24 - (49*d[10])/3 + 
       (61*d[11])/12 - d[12]/2 + (22*d[13])/9 + (25*d[14])/9 - 
       (83*d[15])/18 + (55*d[16])/18 - (46*d[17])/9 - (229*d[18])/18 + 
       (5*d[19])/18 + (487*d[20])/36 + (53*d[21])/9 + (19*d[22])/6 - 
       (35*d[23])/18 - (337*d[24])/24 - (5*d[26])/18 + (29*d[27])/18 - 
       d[29] + (4*d[31])/9 + (2*d[32])/9 - (26*d[33])/9 + (22*d[34])/9 + 
       (31*d[36])/3)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + ((4*d[3])/3 - 2*d[4] - 4*d[5] + (73*d[6])/18 - 
       d[8]/3 + (2*d[9])/3 + (4*d[10])/3 + (13*d[11])/3 - (43*d[12])/6 + 
       d[13] - (11*d[14])/3 - (10*d[15])/9 - (2*d[16])/3 + (25*d[17])/6 - 
       (55*d[18])/6 + (4*d[19])/9 + (20*d[20])/3 + (34*d[21])/9 - 
       (2*d[22])/9 + (197*d[23])/18 + (211*d[24])/9 - d[26]/3 + d[27] - 
       (2*d[28])/3 - (2*d[29])/3 - (8*d[30])/3 + (2*d[33])/3 - (2*d[34])/3 - 
       (2*d[35])/3 - 4*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + ((-13*d[6])/3 + (11*d[12])/2 - 7*d[13] + 
       2*d[14] - (16*d[15])/3 - 7*d[16] - d[17]/2 - 8*d[18] + (16*d[19])/3 - 
       (33*d[20])/4 + (16*d[21])/3 + (16*d[22])/3 - (43*d[23])/6 - 
       (35*d[24])/12 - d[28]/2 - d[29]/2 + 2*d[30])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     ((-4*d[3])/3 - 2*d[4] + (59*d[5])/6 + (13*d[6])/3 - (41*d[7])/12 - 
       (197*d[8])/12 + (65*d[9])/4 - 4*d[10] + 18*d[11] - (15*d[12])/2 - 
       d[13]/3 - (4*d[14])/3 - (23*d[15])/3 + (77*d[16])/6 - (11*d[17])/3 - 
       (28*d[18])/3 + (37*d[19])/6 + (331*d[20])/24 + (37*d[21])/3 + 
       (25*d[22])/2 + (31*d[23])/12 + (75*d[24])/8 - (5*d[26])/3 + 
       (8*d[27])/3 - d[31]/3 - d[32]/6 - (19*d[33])/3 + (20*d[34])/3 + 
       5*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     ((13*d[6])/3 - (11*d[12])/2 + 7*d[13] - 2*d[14] - (20*d[15])/3 + 
       7*d[16] + d[17]/2 + 8*d[18] + (20*d[19])/3 + (63*d[20])/4 + 
       (20*d[21])/3 + (20*d[22])/3 - (11*d[23])/6 - (235*d[24])/12 + 
       d[28]/2 + d[29]/2 - 2*d[30])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + ((8*d[3])/3 - 2*d[4] + (2*d[5])/3 + 
       (191*d[6])/18 + (4*d[7])/3 - d[8] + (8*d[9])/3 - (8*d[10])/3 + 
       (16*d[11])/3 - (9*d[12])/2 + (13*d[13])/3 - 7*d[14] + (22*d[15])/9 + 
       6*d[16] + (41*d[17])/6 + (31*d[18])/6 - (34*d[19])/9 + 
       (109*d[20])/12 - (16*d[21])/9 - (34*d[22])/9 - (7*d[23])/9 - 
       (145*d[24])/36 - d[26]/3 - d[27] - d[29]/3 + (8*d[30])/3 + 
       (2*d[34])/3 - (2*d[35])/3 - 4*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((49*d[3])/9 + 3*d[4] - (305*d[5])/18 - (28*d[6])/9 + (355*d[7])/72 + 
       (883*d[8])/72 - (389*d[9])/24 + 13*d[10] - (331*d[11])/12 + 
       (17*d[12])/3 + (13*d[13])/9 + (19*d[14])/9 + (104*d[15])/9 - 
       (299*d[16])/18 + (38*d[17])/9 + (85*d[18])/9 - (83*d[19])/9 - 
       (1489*d[20])/72 - (178*d[21])/9 - (52*d[22])/3 - (301*d[23])/36 + 
       (11*d[24])/2 + (26*d[26])/9 - (23*d[27])/9 + d[28]/2 - 2*d[30] - 
       (14*d[31])/9 + (2*d[32])/9 + (73*d[33])/9 - (59*d[34])/9 - 
       (26*d[36])/3)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + ((-167*d[6])/18 + (7*d[12])/2 + (2*d[13])/3 + 
       (22*d[14])/3 - (31*d[15])/9 + (2*d[16])/3 - (19*d[17])/3 - 
       (23*d[18])/6 + (31*d[19])/9 - (20*d[20])/3 + (31*d[21])/9 + 
       (31*d[22])/9 + (23*d[23])/18 + (89*d[24])/18 + d[28]/2 + d[29]/2 - 
       2*d[30] + d[35])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + ((-3*d[8])/2 - 2*d[9] - 4*d[10] - d[11]/2 + 
       10*d[16] + d[17]/2 - d[18]/2 - d[19]/2 + d[21] - (3*d[22])/2 + 
       11*d[24] + d[27]/2 + d[29] + d[33] - d[34] + d[35])*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (d[3] - 2*d[4] - d[5] + d[6] + d[7] + d[8]/2 - 2*d[9] - 7*d[10] + 
       (3*d[11])/2 + d[15]/2 + 6*d[16] - d[17]/2 + (3*d[18])/2 - d[19] + 
       d[21] - d[22] + 10*d[24] - d[27]/2 + d[29]/2 - d[31] - d[32]/2 + 
       d[34] + d[35])*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((-5*d[1])/2 - 3*d[3] + 5*d[4] + 4*d[5] - 3*d[6] + (9*d[7])/2 + 
       (7*d[8])/2 + (17*d[9])/2 - d[10] + 12*d[11] + 3*d[12] - 14*d[13] + 
       5*d[15] - 2*d[16] - (19*d[17])/2 + (35*d[18])/2 - (11*d[19])/2 - 
       21*d[20] - 2*d[21] - (5*d[22])/2 + 4*d[23] - 6*d[24] + 2*d[26] - 
       3*d[27] - d[28] - d[29]/2 - 4*d[30] + d[32] - 3*d[33] + 4*d[34] - 
       2*d[35] + 12*d[36])*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     ((-4*d[6])/3 + (29*d[12])/12 - (5*d[13])/6 + (5*d[14])/6 - d[15]/2 - 
       (5*d[16])/6 - (19*d[18])/6 + d[19]/2 - 4*d[20] + d[21]/2 + d[22]/2 - 
       (13*d[23])/12 + d[24]/2)*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - w] + 
     (d[3] - (13*d[4])/6 + (15*d[5])/4 + (65*d[6])/12 + (83*d[7])/48 - 
       (205*d[8])/48 + (217*d[9])/48 - (3*d[10])/2 + (45*d[11])/8 - 
       (83*d[12])/12 - d[13]/2 - d[14]/2 + (13*d[15])/12 + (22*d[16])/3 + 
       (23*d[17])/4 - (55*d[18])/12 - (11*d[19])/4 + (1273*d[20])/96 + 
       (17*d[21])/12 - (13*d[22])/12 + (121*d[23])/48 + (293*d[24])/32 - 
       (2*d[26])/3 + (2*d[27])/3 - d[31]/2 - d[32]/4 - (4*d[33])/3 + 
       (11*d[34])/6 - (3*d[36])/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + (7*d[4] - (7*d[5])/3 - (47*d[6])/9 - 
       (7*d[7])/2 - (67*d[8])/6 + (10*d[9])/3 + (5*d[10])/6 - (83*d[11])/6 - 
       (25*d[12])/12 - (25*d[13])/6 + d[14]/6 + (19*d[15])/9 + (19*d[16])/2 - 
       (13*d[17])/6 + (29*d[18])/6 - (47*d[19])/18 - (31*d[20])/6 - 
       (269*d[21])/18 + (7*d[22])/18 + (23*d[23])/9 + (421*d[24])/18 + 
       d[26] - (5*d[27])/2 - d[28]/3 - d[31] + d[32]/3 - (8*d[33])/3 + 
       (11*d[34])/3 + 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - w] + ((40*d[3])/9 - (21*d[4])/4 + (5*d[5])/9 + 
       (41*d[6])/36 + (107*d[7])/144 + (83*d[8])/144 - (25*d[9])/48 - 
       (3*d[10])/4 - (23*d[11])/24 - (31*d[12])/12 + (4*d[13])/9 - 
       (7*d[14])/18 - (187*d[15])/36 + (43*d[16])/18 + (71*d[17])/36 + 
       (61*d[18])/36 + (34*d[19])/9 + (2099*d[20])/288 + (305*d[21])/36 + 
       (8*d[22])/3 - (817*d[23])/144 - (287*d[24])/32 - d[26]/9 + 
       (13*d[27])/9 - (19*d[31])/18 - (19*d[32])/36 + (11*d[33])/18 + 
       (4*d[34])/9 - (17*d[36])/3)*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w] + 
     (-2*d[2] - 2*d[6] - (5*d[11])/2 - (5*d[12])/12 - (7*d[13])/6 + 
       (7*d[14])/6 + (7*d[15])/6 - (7*d[16])/6 - 2*d[17] + (19*d[18])/6 - 
       (7*d[19])/6 + 2*d[20] - (7*d[21])/6 - (7*d[22])/6 + (5*d[23])/12 - 
       (7*d[24])/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((-2*d[1])/3 + (2*d[2])/3 + (4*d[3])/3 - (8*d[4])/3 + (5*d[5])/3 - 
       (17*d[6])/3 + (7*d[7])/3 - (2*d[8])/3 + (2*d[9])/3 - (14*d[10])/3 + 
       (11*d[11])/3 + 2*d[12] + (4*d[13])/3 - (8*d[14])/3 - (19*d[15])/3 + 
       (19*d[16])/3 - (25*d[17])/3 - (8*d[18])/3 + (10*d[19])/3 - 
       (23*d[20])/12 + (37*d[21])/3 + (8*d[22])/3 + (16*d[23])/3 + 
       (11*d[24])/6 - d[25]/3 - (4*d[26])/3 + d[27] - (2*d[31])/3 - d[32] + 
       (2*d[33])/3 - 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + (-d[2] + (22*d[3])/3 - 8*d[4] - (29*d[5])/6 + 
       (17*d[6])/9 + (29*d[7])/12 - (61*d[8])/12 + (7*d[9])/4 + 5*d[10] - 
       (5*d[11])/4 + (19*d[12])/4 - d[13]/2 + d[14]/6 + (74*d[15])/9 + 
       (29*d[16])/6 - (11*d[17])/3 + 15*d[18] - (211*d[19])/18 + 
       (41*d[20])/12 - (97*d[21])/18 - (289*d[22])/18 + (107*d[23])/18 + 
       (557*d[24])/18 + (2*d[26])/3 + (5*d[27])/6 + d[28]/2 - (8*d[31])/3 - 
       (4*d[32])/3 + (13*d[33])/3 - (5*d[34])/3 - 14*d[36])*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (3*d[2] + (10*d[6])/3 - 2*d[12] + 2*d[13] - 2*d[14] - (2*d[15])/3 + 
       2*d[16] + 2*d[17] + (2*d[19])/3 - (5*d[20])/4 + (2*d[21])/3 + 
       (2*d[22])/3 - (5*d[23])/6 + d[24]/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w] + (-d[2]/2 + (5*d[6])/3 + d[11]/2 - d[12]/4 - 
       2*d[13] + 2*d[14] + (2*d[15])/3 - 2*d[16] + d[17] + d[18] - 
       (2*d[19])/3 + (19*d[20])/4 - (2*d[21])/3 - (2*d[22])/3 + 
       (25*d[23])/12 - (5*d[24])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w] + (-d[1]/3 - d[2] + (13*d[20])/4 + (3*d[23])/2 + 
       d[24]/2)*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w] + 
     (-2*d[2] + (41*d[6])/3 - (25*d[12])/6 + (19*d[13])/3 - (25*d[14])/3 + 
       d[15]/3 + (19*d[16])/3 + 10*d[17] + (11*d[18])/3 - d[19]/3 + 
       (37*d[20])/2 - d[21]/3 - d[22]/3 - (3*d[23])/2 - (71*d[24])/6 + d[25])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((4*d[2])/3 + (10*d[3])/3 - 25*d[5] - d[6]/6 + (121*d[7])/24 + 
       (299*d[8])/8 - (817*d[9])/24 + (80*d[10])/3 - (329*d[11])/12 + 
       (7*d[12])/3 + 6*d[13] - (11*d[14])/3 + (39*d[15])/2 - (383*d[16])/6 + 
       (83*d[17])/6 + (85*d[18])/6 - (37*d[19])/3 - (773*d[20])/48 - 
       (27*d[21])/2 - (86*d[22])/3 - (5*d[23])/24 - (1219*d[24])/48 + 
       (2*d[25])/3 + (4*d[26])/3 + 2*d[27] + (2*d[28])/3 - d[29]/3 + 
       (8*d[30])/3 - (2*d[31])/3 - d[32]/3 + (49*d[33])/3 - (47*d[34])/3 - 
       8*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (2*d[2] - (41*d[6])/3 + (25*d[12])/6 - (19*d[13])/3 + (25*d[14])/3 - 
       d[15]/3 - (19*d[16])/3 - 10*d[17] - (11*d[18])/3 + d[19]/3 - 
       (37*d[20])/2 + d[21]/3 + d[22]/3 + (3*d[23])/2 + (71*d[24])/6 - d[25])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((8*d[2])/3 + (5*d[4])/3 + (35*d[6])/9 - (2*d[10])/3 - (2*d[11])/3 + 
       (59*d[12])/6 - (19*d[13])/3 + (23*d[14])/3 + (5*d[15])/9 - 5*d[16] + 
       (10*d[17])/3 - d[18] + d[19]/9 - (149*d[20])/12 - (29*d[21])/9 + 
       (25*d[22])/9 - (122*d[23])/9 - (683*d[24])/36)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((-40*d[3])/9 + (11*d[4])/2 + (287*d[5])/18 - (25*d[6])/18 + 
       (77*d[7])/72 - (2431*d[8])/72 + (605*d[9])/24 - 23*d[10] + 
       (7*d[11])/12 + d[12]/3 + (95*d[13])/9 + (161*d[14])/9 + (22*d[15])/9 + 
       (1091*d[16])/18 + (23*d[17])/18 - (161*d[18])/18 - (203*d[19])/18 - 
       (2143*d[20])/144 - (247*d[21])/18 - (13*d[22])/6 + (521*d[23])/72 + 
       (843*d[24])/16 + d[25]/2 + d[26]/9 - (71*d[27])/18 + (3*d[28])/2 + 
       d[29]/2 - 6*d[30] + (14*d[31])/9 + (23*d[32])/18 - (82*d[33])/9 + 
       (68*d[34])/9 + d[35] + (17*d[36])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (-d[2] - (29*d[6])/9 - (17*d[12])/2 + (19*d[13])/3 - (16*d[14])/3 - 
       (14*d[15])/9 + (19*d[16])/3 - (13*d[17])/6 - (5*d[18])/3 + 
       (14*d[19])/9 + (97*d[20])/6 + (14*d[21])/9 + (14*d[22])/9 + 
       (229*d[23])/18 + (271*d[24])/18 + d[25]/2)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (-2*d[2] - (22*d[6])/3 + 5*d[12] + 2*d[14] + (8*d[15])/3 + 6*d[17] - 
       18*d[18] - (8*d[19])/3 - 16*d[20] - (8*d[21])/3 - (8*d[22])/3 - 
       (11*d[23])/3 - (8*d[24])/3 + d[25])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + (-2*d[2] + (19*d[3])/6 - 7*d[4] + (28*d[5])/3 + 
       (13*d[6])/3 - (23*d[7])/12 - (251*d[8])/12 + (77*d[9])/4 - 5*d[10] + 
       13*d[11] - 9*d[12] + (49*d[13])/6 + (17*d[14])/3 - (35*d[15])/12 + 
       (97*d[16])/3 - (41*d[17])/12 - (103*d[18])/12 - (11*d[19])/6 + 
       (55*d[20])/24 + (28*d[21])/3 + (7*d[22])/2 + (19*d[23])/12 + 
       (155*d[24])/8 + d[25]/2 - (5*d[26])/3 + (7*d[27])/6 + (3*d[28])/2 + 
       d[29]/2 - 6*d[30] - (5*d[31])/6 - (5*d[32])/12 - (16*d[33])/3 + 
       (37*d[34])/6 + d[35]/2 - 7*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + (2*d[2] + (22*d[6])/3 - 5*d[12] - 2*d[14] - 
       (8*d[15])/3 - 6*d[17] + 18*d[18] + (8*d[19])/3 + 16*d[20] + 
       (8*d[21])/3 + (8*d[22])/3 + (11*d[23])/3 + (8*d[24])/3 - d[25])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (2*d[1] + 12*d[5] + 4*d[6] + 2*d[9] - 3*d[10] - 9*d[16] + d[17] - 
       d[18] - 2*d[19] - 2*d[22] - 11*d[24] + d[25] - 2*d[29] - 2*d[35])*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (d[1] + 2*d[4] + 2*d[6] + 3*d[14] + 10*d[15] + 2*d[17] - 2*d[18] - 
       6*d[19] - 8*d[20] - d[21] - 2*d[22] + 14*d[23] + 12*d[24] + 
       (3*d[25])/2 - d[26])*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (-4*d[3] + 4*d[4] - 12*d[6] - 8*d[9] + 2*d[10] - 5*d[11] + 6*d[14] + 
       8*d[15] - 6*d[16] + 18*d[17] - 42*d[18] - 6*d[19] - (17*d[20])/2 - 
       8*d[21] - 6*d[22] + 3*d[23] + (19*d[24])/2 + 3*d[32] - 4*d[34] + 
       2*d[35])*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (-10*d[3] + 10*d[4] - 4*d[6] + 10*d[9] - 2*d[10] - 7*d[11] + 4*d[15] - 
       6*d[16] + 5*d[17] - 5*d[18] - d[19] + 2*d[21] - d[22] + 19*d[24] - 
       2*d[25] - 4*d[26] + 10*d[31] - 5*d[32] - 10*d[34])*
      HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (-5*d[3] + 3*d[4] - 2*d[5] + 2*d[6] - 10*d[7] + 3*d[8] - 8*d[9] + 
       (3*d[10])/2 - 5*d[11] - d[12] - 16*d[13] - 8*d[14] - (49*d[16])/2 + 
       15*d[17] - 22*d[18] - d[19]/2 + (11*d[20])/2 + 11*d[21] - d[22]/2 - 
       5*d[23] - (43*d[24])/2 - d[25] + 5*d[26] + 3*d[27] - 2*d[28] - d[29] + 
       4*d[30] + d[31] - (9*d[32])/2 - d[34] - 2*d[35] + 12*d[36])*
      HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (-d[1] + 5*d[6] + d[10] + d[11] - (9*d[15])/2 - 2*d[16] - (9*d[17])/2 + 
       (31*d[18])/2 + 5*d[19] + (5*d[20])/2 + 9*d[21] + 5*d[22] - 3*d[23] - 
       (11*d[24])/2 - d[25]/2 - d[26])*HPL[{0, 1, 1}, 1 - w]^2 + 
     (4*d[2] - (14*d[6])/3 + 4*d[12] - (2*d[15])/3 - 2*d[17] - 4*d[18] + 
       (2*d[19])/3 - 4*d[20] + (2*d[21])/3 + (2*d[22])/3 - (4*d[23])/3 + 
       (8*d[24])/3)*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((4*d[3])/3 - 4*d[4] + (17*d[5])/3 + 2*d[6] + d[7]/6 - (17*d[8])/6 + 
       (19*d[9])/2 + 4*d[10] + 14*d[11] - 3*d[12] - (8*d[13])/3 - 
       (2*d[14])/3 - 4*d[15] + (5*d[16])/3 - (10*d[17])/3 - (26*d[18])/3 + 
       3*d[19] + (61*d[20])/12 + (34*d[21])/3 + (11*d[22])/3 - (19*d[23])/6 + 
       (47*d[24])/12 - (4*d[26])/3 + (7*d[27])/3 - (2*d[31])/3 - d[32]/3 - 
       (2*d[33])/3 + (4*d[34])/3 - 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u] + (-d[2] + (4*d[3])/3 - 2*d[4] + (43*d[5])/6 - 
       d[6]/3 + d[7]/6 - (47*d[8])/6 + (11*d[9])/2 - 4*d[10] + 7*d[11] + 
       d[12] - (5*d[13])/3 + (4*d[14])/3 - (16*d[15])/3 + (44*d[16])/3 - 
       (16*d[17])/3 + (10*d[18])/3 + (4*d[19])/3 + (79*d[20])/12 + 
       (14*d[21])/3 + 4*d[22] + (31*d[23])/6 + (51*d[24])/4 - d[26]/3 - 
       (2*d[27])/3 - (2*d[31])/3 - d[32]/3 - (8*d[33])/3 + (10*d[34])/3 - 
       2*d[36])*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-8*d[1] - 8*d[2] + (16*d[6])/3 - 6*d[12] + 2*d[13] - 2*d[14] - 
       (2*d[15])/3 + 2*d[16] + 2*d[17] + 4*d[18] + (2*d[19])/3 + 6*d[20] + 
       (2*d[21])/3 + (2*d[22])/3 + (8*d[23])/3 - (4*d[24])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((-2*d[2])/3 + (8*d[3])/3 - 2*d[4] - (2*d[5])/3 + d[6] - (4*d[7])/3 + 
       (5*d[8])/3 - (10*d[9])/3 + (14*d[10])/3 - 8*d[11] + (4*d[13])/3 - 
       (10*d[14])/3 - 7*d[16] - (2*d[17])/3 + (20*d[18])/3 + d[19] + 
       (43*d[20])/6 - (4*d[21])/3 + d[22]/3 + (11*d[23])/3 - (23*d[24])/6 + 
       d[26]/3 - d[27]/3 - (4*d[31])/3 - (2*d[32])/3 + (2*d[33])/3 + 
       (2*d[34])/3 - 4*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u] + (2*d[1] + 4*d[2] - (2*d[6])/3 + 2*d[12] - 
       2*d[13] + 2*d[14] + (4*d[15])/3 - 2*d[16] - (4*d[19])/3 - 2*d[20] - 
       (4*d[21])/3 - (4*d[22])/3 - (4*d[23])/3 - (4*d[24])/3)*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u] + 
     (8*d[5] - 8*d[16] - 16*d[24])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u] + (-5*d[5] + d[7] + (3*d[8])/2 - (7*d[9])/2 + 
       (7*d[10])/2 - 3*d[11] - 4*d[16] + d[19] + d[22] - (23*d[24])/2 - 
       (3*d[27])/2)*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (4*d[1] - 8*d[5] + 8*d[16] + 16*d[24])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u] + (2*d[13] - 2*d[14] + 2*d[16] + 2*d[20] + 
       2*d[24])*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-2*d[4] - 2*d[5] - (14*d[6])/3 - 2*d[7] + 5*d[8] + 10*d[10] + d[11] - 
       2*d[14] - (8*d[15])/3 - 15*d[16] - 2*d[17] - 4*d[18] + (23*d[19])/3 - 
       2*d[20] + (14*d[21])/3 + (11*d[22])/3 + (14*d[23])/3 - (25*d[24])/3 + 
       d[27] + 2*d[33] - 2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v] + ((22*d[3])/3 - 10*d[4] + (11*d[5])/3 + 
       (5*d[6])/3 + (25*d[7])/6 - (35*d[8])/6 + (7*d[9])/2 - 8*d[10] + 
       9*d[11] + d[12] - (8*d[13])/3 - (8*d[14])/3 - (13*d[15])/3 + 
       (59*d[16])/3 - (19*d[17])/3 + (25*d[18])/3 - (5*d[19])/3 + 
       (127*d[20])/12 + (26*d[21])/3 - d[22] + (19*d[23])/6 + (83*d[24])/4 - 
       d[26]/3 + (4*d[27])/3 - (8*d[31])/3 - (4*d[32])/3 - (2*d[33])/3 + 
       (10*d[34])/3 - 14*d[36])*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((8*d[1])/3 - 2*d[6] + 4*d[12] - 4*d[13] + 4*d[14] - 4*d[16] - 2*d[17] - 
       8*d[20] - 2*d[23] - 2*d[24])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v] + (-4*d[1] - 2*d[3] + 4*d[4] + 5*d[5] + 
       (17*d[6])/3 - (5*d[7])/2 - (23*d[8])/2 + (23*d[9])/2 - 2*d[10] + 
       8*d[11] - 3*d[12] + 2*d[14] - (7*d[15])/3 + 10*d[16] - d[17] - 
       3*d[18] - (2*d[19])/3 + (41*d[20])/4 + (4*d[21])/3 + (16*d[22])/3 - 
       (13*d[23])/6 + (49*d[24])/12 - d[26] - d[27] - 4*d[33] + 4*d[34] + 
       6*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-d[1] + 2*d[6] - 4*d[12] + 2*d[13] - 2*d[14] + 2*d[16] + 2*d[17] + 
       6*d[20] + 2*d[23])*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v] + 
     (2*d[4] - 2*d[19] + 4*d[22])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v] + (-2*d[1] - 2*d[4] + 2*d[19] + 4*d[22])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((-10*d[6])/3 - 4*d[12] - 2*d[13] + 2*d[14] + (2*d[15])/3 - 2*d[16] - 
       2*d[17] - (2*d[19])/3 - 6*d[20] - (2*d[21])/3 - (2*d[22])/3 - 
       (8*d[23])/3 - (2*d[24])/3)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1}, 1 - w] + ((-4*d[3])/3 + (8*d[4])/3 + (13*d[5])/3 + 
       (4*d[6])/3 - d[7]/2 - (17*d[8])/2 + (53*d[9])/6 - 4*d[10] + 
       (17*d[11])/3 - (5*d[12])/3 + (8*d[13])/3 - 3*d[14] - 6*d[15] + 
       (28*d[16])/3 - (10*d[17])/3 - 2*d[18] + 6*d[19] + (133*d[20])/12 + 
       (26*d[21])/3 + (28*d[22])/3 + (49*d[23])/6 + (13*d[24])/4 - 
       (2*d[26])/3 + (2*d[27])/3 + (2*d[31])/3 + d[32]/3 - (4*d[33])/3 + 
       (2*d[34])/3 + 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w] + (d[3]/3 - d[4] - (23*d[5])/6 - (7*d[6])/3 - 
       (5*d[7])/6 + (8*d[8])/3 - 3*d[9] + (9*d[10])/2 - 6*d[11] + 6*d[12] - 
       (2*d[13])/3 - (5*d[14])/3 - d[15]/3 - (19*d[16])/3 - (7*d[17])/3 + 
       (28*d[18])/3 - (2*d[19])/3 + (4*d[20])/3 - (11*d[21])/6 - 5*d[22] - 
       d[23]/3 + (9*d[24])/2 + (2*d[26])/3 + (11*d[27])/6 - (2*d[31])/3 - 
       d[32]/3 + (10*d[33])/3 - (8*d[34])/3 - 8*d[36])*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - w] + (-4*d[1] + (2*d[6])/3 + 14*d[12] + 2*d[13] - 
       2*d[14] - (10*d[15])/3 + 2*d[16] - 4*d[18] + (10*d[19])/3 + 2*d[20] + 
       (10*d[21])/3 + (10*d[22])/3 + (10*d[23])/3 + (10*d[24])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (-2*d[1] + (10*d[3])/3 - 6*d[4] + (17*d[5])/3 + (10*d[6])/3 + d[7]/6 - 
       (47*d[8])/6 + (19*d[9])/2 - 2*d[10] + 10*d[11] - 3*d[12] - 
       (14*d[13])/3 + (4*d[14])/3 - (11*d[15])/3 + (35*d[16])/3 - 
       (13*d[17])/3 - (17*d[18])/3 - d[19]/3 + (85*d[20])/12 + 4*d[21] + 
       (7*d[22])/3 - (9*d[23])/2 + (127*d[24])/12 - (4*d[26])/3 - 
       (2*d[27])/3 - (8*d[31])/3 - (4*d[32])/3 - (14*d[33])/3 + 
       (22*d[34])/3 - 2*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + ((8*d[6])/3 - 10*d[12] + (8*d[15])/3 + 
       2*d[17] + 4*d[18] - (8*d[19])/3 + 4*d[20] - (8*d[21])/3 - 
       (8*d[22])/3 - (2*d[23])/3 - (8*d[24])/3)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - w] + (-4*d[4] + 8*d[11] - 4*d[19] - 8*d[22])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w] + 
     ((3*d[3])/2 + (11*d[4])/2 + d[7] - d[8] - 2*d[9] - d[10]/2 - 
       (17*d[11])/2 - d[16] + 2*d[19] - 2*d[21] + 4*d[22] - 3*d[24] + d[27] + 
       (5*d[32])/2 - 2*d[34])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (4*d[4] + 8*d[11] + 4*d[19] + 8*d[22])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + (2*d[4] - (5*d[6])/2 - 7*d[12] - 2*d[15] - 
       (13*d[17])/2 + (5*d[18])/2 + 3*d[19] - (3*d[20])/2 + d[21] + 5*d[22] - 
       3*d[23] - (21*d[24])/2 + d[26]/2)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + (6*d[3] - 9*d[4] + 3*d[5] - (3*d[6])/2 + 
       (5*d[7])/2 - 11*d[8] + (11*d[9])/2 - (9*d[10])/2 + 12*d[11] + 
       9*d[12] - 8*d[13] + 8*d[14] - (13*d[15])/2 + 10*d[16] - (27*d[17])/2 + 
       (17*d[18])/2 + (3*d[19])/2 - (21*d[20])/4 + 12*d[21] + (3*d[22])/2 - 
       (17*d[23])/2 + (31*d[24])/4 + d[26]/2 + (3*d[27])/2 + d[29]/2 - 
       2*d[31] - 2*d[33] + 4*d[34] + d[35] - 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-8*d[3] + 7*d[4] + (41*d[5])/4 + 3*d[6] - (21*d[7])/4 - 27*d[8] + 
       (93*d[9])/4 - (49*d[10])/4 + (51*d[11])/4 - (7*d[12])/2 + 2*d[13] + 
       7*d[14] - 9*d[15] + (105*d[16])/4 - (37*d[17])/4 - (49*d[18])/4 + 
       (7*d[19])/2 + (37*d[20])/4 + 6*d[21] + (27*d[22])/2 + (21*d[23])/2 + 
       (31*d[24])/4 - (3*d[26])/2 - (9*d[27])/4 + 2*d[31] + d[32] - 
       10*d[33] + 8*d[34] + 18*d[36])*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + (-2*d[2] + 2*d[3] - 4*d[4] + (26*d[6])/3 + 
       6*d[9] - d[10] - 5*d[11] - 6*d[12] + 10*d[13] - 12*d[14] - d[15]/3 + 
       10*d[16] + 7*d[17] + 7*d[18] + d[19]/3 + 32*d[20] - (14*d[21])/3 - 
       (5*d[22])/3 + (34*d[23])/3 - (11*d[24])/3 + 2*d[25] + 2*d[26] + 
       2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (2*d[2] + 6*d[3] - 2*d[4] - 28*d[5] - (8*d[6])/3 - (3*d[7])/2 + 
       (239*d[8])/6 - (211*d[9])/6 + (86*d[10])/3 - (91*d[11])/3 + 3*d[12] + 
       (26*d[13])/3 - 18*d[14] + (43*d[15])/3 - (185*d[16])/3 + 14*d[17] + 
       (62*d[18])/3 - 3*d[19] - (5*d[20])/12 - (40*d[21])/3 - (59*d[22])/3 + 
       d[23]/2 - (355*d[24])/12 + (2*d[25])/3 + (8*d[26])/3 + 2*d[27] - 
       (2*d[29])/3 - (4*d[31])/3 - (2*d[32])/3 + (50*d[33])/3 - 
       (46*d[34])/3 - (2*d[35])/3 - 14*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u] + (2*d[2] - (26*d[6])/3 + 13*d[12] - 
       10*d[13] + 12*d[14] + (5*d[15])/6 - 10*d[16] - (5*d[17])/2 - 
       (11*d[18])/2 - d[19]/3 - 28*d[20] - d[21]/3 - d[22]/3 - (34*d[23])/3 + 
       (5*d[24])/3 - d[25]/2)*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u] + 
     (4*d[3] - 4*d[4] - 2*d[6] + 8*d[9] - 3*d[10] + 15*d[11] - 4*d[15] + 
       6*d[16] + 10*d[17] - 22*d[18] + d[19] + 4*d[21] + d[22] + 35*d[24] - 
       d[29] - 4*d[31] - 2*d[32] + 4*d[34] - 2*d[35])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u] + (-d[6]/2 - d[7] - d[8] + d[10]/2 - 
       (23*d[11])/2 - 3*d[14] - 6*d[15] - d[16] + d[18] + (13*d[19])/2 + 
       (11*d[20])/2 + 4*d[21] + (15*d[22])/2 - 3*d[23] - 12*d[24] - 
       (3*d[26])/2 - d[35])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (2*d[3] - 2*d[4] - 2*d[5] + d[6] + 2*d[9] - d[10] + 11*d[11] + 6*d[14] + 
       7*d[15] + 3*d[16] - 2*d[17] + 2*d[18] - 7*d[19] - (17*d[20])/2 - 
       8*d[21] - 7*d[22] + 3*d[23] + (23*d[24])/2 - d[25] + d[26] + d[29] + 
       2*d[34] + 2*d[35])*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((5*d[4])/2 + (133*d[6])/12 - 9*d[12] + 10*d[13] - 10*d[14] - 
       (7*d[15])/6 + 10*d[16] + (15*d[17])/4 + (31*d[18])/4 + (2*d[19])/3 + 
       (47*d[20])/2 - (7*d[21])/3 + (19*d[22])/6 + (20*d[23])/3 + 
       (14*d[24])/3 - d[26]/4)*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((10*d[3])/3 - (58*d[5])/3 - (34*d[6])/3 - (23*d[7])/6 + (211*d[8])/6 - 
       (55*d[9])/2 + 31*d[10] - 34*d[11] + 17*d[12] - (35*d[13])/3 - 
       (11*d[14])/3 + (53*d[15])/3 - (199*d[16])/3 + (17*d[17])/3 + 
       (73*d[18])/3 - (11*d[19])/3 - (359*d[20])/12 - (64*d[21])/3 - 
       14*d[22] - (5*d[23])/6 + d[24]/4 + (11*d[26])/3 + (4*d[27])/3 - 
       d[28] - d[29]/2 - (2*d[31])/3 - d[32]/3 + (25*d[33])/3 - 
       (17*d[34])/3 - 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v] + (-2*d[3] + 5*d[5] + 3*d[6] - (5*d[7])/2 - 
       (25*d[8])/2 + (19*d[9])/2 - 4*d[10] + 10*d[11] - 5*d[12] - 5*d[15] + 
       8*d[16] - 2*d[17] - 6*d[18] + 4*d[19] + (33*d[20])/4 + 8*d[21] + 
       8*d[22] + (5*d[23])/2 + (27*d[24])/4 - d[26] + 2*d[27] - 4*d[33] + 
       4*d[34] + 6*d[36])*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     (2*d[2] - (8*d[4])/3 - 16*d[6] + (68*d[12])/3 - 20*d[13] + 20*d[14] + 
       (22*d[15])/3 - 20*d[16] - (22*d[17])/3 - 4*d[18] - (20*d[19])/3 - 
       44*d[20] - 4*d[21] - (28*d[22])/3 - (50*d[23])/3 - 14*d[24] + 
       (2*d[26])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + (-2*d[2] - (41*d[3])/3 + 13*d[4] + 
       (59*d[5])/3 + (11*d[6])/3 - (7*d[7])/3 - (88*d[8])/3 + 27*d[9] - 
       18*d[10] + 13*d[11] - 6*d[12] + (43*d[13])/3 + (31*d[14])/3 - 
       (46*d[15])/3 + (265*d[16])/6 - (4*d[17])/3 - (50*d[18])/3 + 
       (34*d[19])/3 + (43*d[20])/3 + (44*d[21])/3 + 21*d[22] + (29*d[23])/3 - 
       (11*d[24])/2 + d[25] - (4*d[26])/3 - (8*d[27])/3 + d[28] + d[29]/2 + 
       (16*d[31])/3 + (8*d[32])/3 - (29*d[33])/3 + (16*d[34])/3 + 28*d[36])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-2*d[2] + (14*d[6])/3 - 14*d[12] + 10*d[13] - (21*d[14])/2 - 
       (67*d[15])/12 + 10*d[16] + (17*d[17])/4 - (19*d[18])/4 + 
       (35*d[19])/6 + 20*d[20] + (35*d[21])/6 + (35*d[22])/6 + (59*d[23])/6 + 
       (16*d[24])/3 + d[25]/4)*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     (d[2] - 2*d[3] + 3*d[4] - 4*d[5] - d[6]/2 + d[7] + 2*d[8] - 4*d[9] - 
       d[10] - (7*d[11])/2 + 3*d[12] + d[13] - 3*d[14] - d[15] + 
       (9*d[16])/2 - 4*d[17] + 6*d[18] + d[19] + 3*d[20] + 2*d[21] + d[23] - 
       12*d[24] - d[26]/2 + d[29]/2 + d[33] - d[34] - d[35] + 6*d[36])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-d[2] + 4*d[5] - 3*d[9] - (17*d[11])/2 - 3*d[12] + d[13] - d[15]/2 - 
       5*d[16] + 2*d[19] + d[21] + 3*d[22] + 2*d[23] - (15*d[24])/2 + 
       d[25]/2 - d[29]/2 - d[32] - d[33] + 2*d[34] - d[35] + 6*d[36])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-2*d[4] - (29*d[6])/6 + 7*d[12] - 10*d[13] + 10*d[14] + (8*d[15])/3 - 
       10*d[16] + d[17]/2 + (3*d[18])/2 - (11*d[19])/3 - (41*d[20])/2 - 
       (5*d[21])/3 - (17*d[22])/3 - (11*d[23])/3 + (11*d[24])/6 - d[26]/2)*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     ((-28*d[3])/3 + (34*d[4])/3 + 9*d[5] + (20*d[6])/3 - (10*d[7])/3 - 
       (98*d[8])/3 + (62*d[9])/3 - (76*d[10])/3 + (35*d[11])/3 - 
       (50*d[12])/3 + (2*d[13])/3 - (32*d[15])/3 + 47*d[16] - (5*d[17])/3 - 
       12*d[18] + (7*d[19])/3 + (76*d[20])/3 + 4*d[21] + (35*d[22])/3 + 
       (22*d[23])/3 + (53*d[24])/3 - (2*d[26])/3 - 5*d[27] - d[28] - 
       d[29]/3 - (4*d[30])/3 + (8*d[31])/3 + (4*d[32])/3 - (22*d[33])/3 + 
       (10*d[34])/3 - (2*d[35])/3 + 16*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w] + ((15*d[3])/4 + (31*d[4])/4 - (73*d[5])/4 - 
       10*d[6] - (5*d[7])/4 + (133*d[8])/4 - (49*d[9])/2 + (55*d[10])/2 - 
       (113*d[11])/4 + (25*d[12])/2 + 5*d[13] - 3*d[14] + 15*d[15] - 
       (207*d[16])/4 + 4*d[17] + 27*d[18] - (15*d[19])/4 - (81*d[20])/4 - 
       (45*d[21])/2 - (71*d[22])/4 - (11*d[23])/2 - (147*d[24])/4 + 
       (7*d[26])/2 - d[27] + d[28]/2 + (3*d[31])/2 + (13*d[32])/4 + 
       14*d[33] - (31*d[34])/2 - 12*d[36])*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - w] + (-2*d[2] + 2*d[4] + 2*d[5] - (5*d[6])/3 + 
       d[10] + 3*d[11] + 10*d[13] - 8*d[14] + (10*d[15])/3 + 9*d[16] + 
       3*d[17] - 7*d[18] - d[19]/3 + 8*d[20] - (28*d[21])/3 + (5*d[22])/3 + 
       (2*d[23])/3 + (32*d[24])/3 + d[25] + 3*d[26] - 2*d[32])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-2*d[2] + 4*d[3] - 7*d[4] + 6*d[5] - 6*d[6] + (5*d[7])/2 - 7*d[8] + 
       (3*d[9])/2 - (7*d[10])/2 + 6*d[11] + 7*d[12] - 2*d[13] + 12*d[14] - 
       3*d[15] + 13*d[16] - (17*d[17])/2 - (9*d[18])/2 - (3*d[19])/2 - 
       (49*d[20])/4 + 12*d[21] - (3*d[22])/2 + (3*d[23])/2 + (47*d[24])/4 + 
       d[25]/2 - d[26] + (3*d[27])/2 + d[28] + d[29]/2 - d[32] + d[35] - 
       12*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (2*d[2] + 4*d[6] - 7*d[12] - 2*d[14] + d[15]/2 - (3*d[17])/2 + 
       (3*d[18])/2 - d[19] + 10*d[20] - d[21] - d[22] + 6*d[23] - 3*d[24] - 
       d[25]/2)*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-8*d[5] - 3*d[6] - d[10] + 5*d[11] - d[15] + 10*d[16] + 2*d[17] - 
       2*d[18] + 2*d[21] + 14*d[24] - d[26] + d[29] + 2*d[35])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-d[3] + d[4] + 5*d[5] + d[6] - d[7] - d[8] + d[9] + d[10]/2 - 2*d[11] + 
       (7*d[15])/2 - 6*d[16] + d[17]/2 - (3*d[18])/2 - 3*d[19] - 
       (5*d[20])/2 - 5*d[21] - 3*d[22] + 3*d[23] - (5*d[24])/2 + d[25] - 
       d[29]/2 + d[31] + d[32]/2 - d[34] - d[35])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w] + (6*d[3] - 6*d[4] + 10*d[5] + 4*d[6] + 
       6*d[9] - d[10] + 5*d[11] - 6*d[14] - 2*d[15] - 5*d[16] - 14*d[17] + 
       26*d[18] + (17*d[20])/2 + 2*d[21] - 3*d[23] - (25*d[24])/2 - d[25] - 
       d[29] - 4*d[31] - 4*d[32] + 6*d[34] - 2*d[35])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + (7*d[6] - 6*d[12] + d[15] + 3*d[17] + 
       6*d[18] - d[19] + 6*d[20] - d[21] - d[22] + 2*d[23] - 4*d[24])*
      HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-2*d[3] + 4*d[4] - (17*d[5])/2 - 5*d[6] - d[7]/4 + (17*d[8])/4 - 
       (57*d[9])/4 - 6*d[10] - 21*d[11] - (9*d[12])/2 + 7*d[13] - 2*d[14] + 
       d[15] + (13*d[16])/2 + 2*d[17] + 13*d[18] - (3*d[19])/2 + 
       (11*d[20])/8 - 12*d[21] - (9*d[22])/2 + (51*d[23])/4 + (65*d[24])/8 + 
       2*d[26] - (7*d[27])/2 + d[31] + d[32]/2 + d[33] - 2*d[34] + 3*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (6*d[2] + 8*d[3] - (9*d[4])/2 - (143*d[5])/4 + (19*d[6])/4 + 4*d[7] + 
       (109*d[8])/4 - (117*d[9])/4 + 6*d[10] - (177*d[11])/4 - 
       (117*d[12])/4 + 26*d[13] - (11*d[14])/2 + (55*d[15])/4 - 
       (215*d[16])/4 + 31*d[17] - (139*d[18])/4 - (15*d[19])/2 + 
       (217*d[20])/8 + (11*d[21])/2 - 30*d[22] - (35*d[23])/4 - 
       (267*d[24])/8 + d[26]/4 + (5*d[27])/4 - 4*d[31] - 2*d[32] + 
       (37*d[33])/2 - (29*d[34])/2 - 12*d[36])*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - u] + (-9*d[6] - 3*d[11] + 12*d[12] - 6*d[13] + 
       6*d[14] + 3*d[15] - 6*d[16] - 3*d[17] - 6*d[18] - 3*d[19] - 12*d[20] - 
       3*d[21] - 3*d[22] - 6*d[23])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u] + (-8*d[3] + (28*d[4])/3 + (25*d[5])/3 + 
       7*d[6] + 2*d[7] - 7*d[8] + 6*d[9] - 12*d[10] + 6*d[11] + 5*d[12] - 
       2*d[13] + 10*d[14] + 13*d[15] + 5*d[16] - (3*d[17])/2 - (13*d[18])/2 - 
       (44*d[19])/3 - 24*d[20] - 11*d[21] - (28*d[22])/3 - 18*d[23] - d[24] - 
       (3*d[26])/2 + d[27] + 4*d[31] + 2*d[32] - 2*d[33] - 2*d[34] + 
       12*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (2*d[6] - 6*d[12] + 6*d[13] - 6*d[14] - 4*d[15] + 6*d[16] + 4*d[19] + 
       6*d[20] + 4*d[21] + 4*d[22] + 4*d[23] + 4*d[24])*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - u] + (d[4] - (27*d[6])/2 - (3*d[10])/2 - 
       (3*d[11])/2 + (11*d[15])/2 + 3*d[16] - 25*d[17] + 45*d[18] - 
       (3*d[19])/2 - 29*d[21] - d[22]/2 + (15*d[24])/2 + (9*d[26])/2)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (2*d[4] - (3*d[6])/2 + (3*d[10])/4 + (3*d[11])/4 - (3*d[12])/2 - 
       (3*d[15])/4 - (3*d[16])/2 - (57*d[17])/4 + (27*d[18])/4 - 
       (5*d[19])/4 - (3*d[20])/2 - (9*d[21])/2 + (19*d[22])/4 + 
       (27*d[24])/4 - 3*d[26])*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-4*d[4] - 15*d[6] - (3*d[10])/2 - (3*d[11])/2 - (21*d[15])/2 + 
       3*d[16] - (27*d[17])/2 - (3*d[18])/2 + (13*d[19])/2 + 9*d[21] + 
       (5*d[22])/2 + (27*d[24])/2)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u] + (-3*d[6] - (15*d[12])/4 - 6*d[13] + 
       6*d[14] - 3*d[15] - 6*d[16] - 3*d[17] + 3*d[19] - 6*d[20] + 3*d[21] + 
       3*d[22] + 3*d[23] - 6*d[24])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1, 1}, 1 - v] + (6*d[5] + 7*d[6] + 6*d[7] - 15*d[8] - 
       30*d[10] - (9*d[11])/2 + 6*d[14] + 4*d[15] + 45*d[16] + 3*d[17] + 
       6*d[18] - 13*d[19] + (3*d[20])/2 - 10*d[21] - 7*d[22] - d[23] + 
       26*d[24] - 3*d[27] - 6*d[33] + 6*d[34])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-11*d[3] + 15*d[4] - (11*d[5])/2 - (5*d[6])/2 - (25*d[7])/4 + 
       (35*d[8])/4 - (21*d[9])/4 + 12*d[10] - (27*d[11])/2 - (3*d[12])/2 + 
       4*d[13] + 4*d[14] + (13*d[15])/2 - (59*d[16])/2 + (19*d[17])/2 - 
       (25*d[18])/2 + (5*d[19])/2 - (127*d[20])/8 - 13*d[21] + (3*d[22])/2 - 
       (19*d[23])/4 - (249*d[24])/8 + d[26]/2 - 2*d[27] + 4*d[31] + 2*d[32] + 
       d[33] - 5*d[34] + 21*d[36])*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - v] + (10*d[6] - 3*d[12] + 12*d[13] - 12*d[14] + 
       4*d[15] + 12*d[16] + 10*d[17] - 4*d[19] + 24*d[20] - 4*d[21] - 
       4*d[22] - 2*d[23] + 9*d[24])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + (6*d[3] - 6*d[4] - 15*d[5] - 10*d[6] + 
       (15*d[7])/2 + (69*d[8])/2 - (69*d[9])/2 + 6*d[10] - 24*d[11] + 
       9*d[12] - 6*d[14] + 11*d[15] - 30*d[16] + 6*d[17] + 15*d[18] - 
       8*d[19] - (105*d[20])/4 - 8*d[21] - 20*d[22] - (13*d[23])/2 - 
       (53*d[24])/4 + 3*d[26] + 3*d[27] + 12*d[33] - 12*d[34] - 18*d[36])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-6*d[6] + 9*d[12] - 6*d[13] + 6*d[14] - 6*d[16] - 6*d[17] - 18*d[20] - 
       3*d[23] - (9*d[24])/4)*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-6*d[6] - 6*d[7] - 6*d[8] + 6*d[9] + (9*d[10])/2 + 6*d[11] - 
       (3*d[12])/2 - (3*d[13])/2 + (3*d[14])/2 - 6*d[15] - 6*d[17] + 
       6*d[19] - (3*d[20])/2 + 6*d[21] + 6*d[22] + (9*d[24])/2)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-6*d[7] - 6*d[8] + 6*d[9] + (9*d[10])/2 + 6*d[11] + (3*d[13])/2 - 
       (3*d[14])/2 + (3*d[20])/2)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + (4*d[2] + 10*d[6] - 12*d[12] + 6*d[13] - 
       6*d[14] - 2*d[15] + 6*d[16] + 6*d[17] + 2*d[19] + 18*d[20] + 2*d[21] + 
       2*d[22] + 8*d[23] + 2*d[24])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1, 1}, 1 - w] + ((2*d[2])/3 + 4*d[3] - 13*d[5] + 2*d[6] + 
       (7*d[7])/2 + (55*d[8])/2 - (57*d[9])/2 + 6*d[10] - 27*d[11] + 
       (33*d[12])/2 - 8*d[13] + 3*d[14] + (31*d[15])/2 - 28*d[16] + 
       (15*d[17])/2 + (41*d[18])/2 - 9*d[19] - (157*d[20])/4 - 23*d[21] - 
       13*d[22] - 29*d[23] - (57*d[24])/4 - d[25]/2 + 2*d[26] - 2*d[27] - 
       2*d[31] - d[32] + 4*d[33] - 2*d[34] - 6*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (3*d[2] + 8*d[3] - d[4]/2 - (35*d[5])/4 + 7*d[6] + (175*d[7])/8 + 
       (95*d[8])/8 - (141*d[9])/8 - 6*d[10] + (63*d[11])/4 - (51*d[12])/4 - 
       4*d[13] + (19*d[14])/2 + (61*d[15])/4 + (55*d[16])/4 + d[17] + 
       2*d[18] - 22*d[19] - (137*d[20])/8 - 11*d[21] - 24*d[22] + 
       (19*d[23])/4 + 30*d[24] - 2*d[26] - 7*d[27] - (3*d[28])/4 - 3*d[30] - 
       4*d[31] - 2*d[32] + d[33]/2 + (7*d[34])/2 + 6*d[36])*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - w] + (-8*d[2] - 6*d[6] + 9*d[12] - 6*d[13] + 
       6*d[14] + 6*d[15] - 6*d[16] - 3*d[17] + 6*d[18] - 6*d[19] - 12*d[20] - 
       6*d[21] - 6*d[22] - 9*d[23] - 6*d[24])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w] + (-5*d[3] + 6*d[4] - (17*d[5])/2 - 6*d[6] - 
       d[7]/4 + (47*d[8])/4 - (57*d[9])/4 + 3*d[10] - (33*d[11])/2 - 
       (9*d[12])/2 + 10*d[13] - 5*d[14] + (9*d[15])/2 - (29*d[16])/2 + 
       (13*d[17])/2 + (17*d[18])/2 - (3*d[19])/2 - (61*d[20])/8 - 5*d[21] - 
       (17*d[22])/2 + (31*d[23])/4 - (167*d[24])/8 + 2*d[26] + d[27] + 
       4*d[31] + 2*d[32] + 7*d[33] - 11*d[34] + 3*d[36])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (2*d[1] + 4*d[2] - 4*d[6] + 3*d[12] - 4*d[15] - 3*d[17] - 6*d[18] + 
       4*d[19] - 6*d[20] + 4*d[21] + 4*d[22] + d[23] + 4*d[24])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((21*d[6])/2 - (3*d[10])/2 - (3*d[11])/2 + 15*d[15] + 3*d[16] + 
       (27*d[17])/2 + (3*d[18])/2 - 15*d[19] - 18*d[21] - 15*d[22] - 
       12*d[24] + (3*d[26])/2)*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (-d[1] + (27*d[6])/4 + (3*d[10])/4 + (3*d[11])/4 - (33*d[12])/2 - 
       (9*d[14])/2 + (3*d[15])/2 - (3*d[16])/2 + (9*d[17])/4 + (9*d[18])/4 - 
       (3*d[19])/2 + (27*d[20])/4 + 3*d[21] - (3*d[22])/2 + (3*d[23])/2 - 
       (75*d[24])/4 - (3*d[25])/2 - (3*d[26])/4)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w] + (d[1] - (11*d[6])/2 - (3*d[10])/2 - 
       (3*d[11])/2 + (27*d[15])/2 + 3*d[16] + 25*d[17] - 45*d[18] - 
       15*d[19] - 21*d[21] - 15*d[22] - 15*d[24] + (3*d[25])/2 + (3*d[26])/2)*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (-16*d[5] - (14*d[6])/3 + 2*d[12] - (8*d[15])/3 + 16*d[16] - 2*d[17] - 
       4*d[18] + (8*d[19])/3 - 4*d[20] + (8*d[21])/3 + (8*d[22])/3 + 
       (2*d[23])/3 + (56*d[24])/3)*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 
       1 - u] + (-2*d[1] + (4*d[3])/3 - 4*d[4] + (29*d[5])/3 + (8*d[6])/3 + 
       d[7]/6 - (47*d[8])/6 + (27*d[9])/2 - 4*d[10] + 16*d[11] - 5*d[12] - 
       (2*d[13])/3 - (8*d[14])/3 - (16*d[15])/3 + (41*d[16])/3 - 
       (10*d[17])/3 - (20*d[18])/3 + (13*d[19])/3 + (133*d[20])/12 + 
       (26*d[21])/3 + 9*d[22] + d[23]/6 + (53*d[24])/4 - (4*d[26])/3 + 
       (4*d[27])/3 - (2*d[31])/3 - d[32]/3 - (14*d[33])/3 + (16*d[34])/3 - 
       2*d[36])*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     (16*d[5] + (14*d[6])/3 - 2*d[12] + (8*d[15])/3 - 16*d[16] + 2*d[17] + 
       4*d[18] - (8*d[19])/3 + 4*d[20] - (8*d[21])/3 - (8*d[22])/3 - 
       (2*d[23])/3 - (56*d[24])/3)*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 
       1 - u] + (4*d[1] - (14*d[6])/3 + 2*d[12] - (8*d[15])/3 - 2*d[17] - 
       4*d[18] + (8*d[19])/3 - 4*d[20] + (8*d[21])/3 + (8*d[22])/3 + 
       (2*d[23])/3 + (8*d[24])/3)*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 
       1 - v] + ((4*d[3])/3 - 4*d[4] + (29*d[5])/3 + (8*d[6])/3 - 
       (11*d[7])/6 - (47*d[8])/6 + (27*d[9])/2 + 16*d[11] - 5*d[12] - 
       (2*d[13])/3 - (8*d[14])/3 - (16*d[15])/3 + (29*d[16])/3 - 
       (10*d[17])/3 - (20*d[18])/3 + (13*d[19])/3 + (133*d[20])/12 + 
       (26*d[21])/3 + 9*d[22] + d[23]/6 + (21*d[24])/4 - (4*d[26])/3 + 
       (4*d[27])/3 - (2*d[31])/3 - d[32]/3 - (14*d[33])/3 + (16*d[34])/3 - 
       2*d[36])*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     (-4*d[1] + (14*d[6])/3 - 2*d[12] + (8*d[15])/3 + 2*d[17] + 4*d[18] - 
       (8*d[19])/3 + 4*d[20] - (8*d[21])/3 - (8*d[22])/3 - (2*d[23])/3 - 
       (8*d[24])/3)*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     (8*d[4] - (14*d[6])/3 + 2*d[12] - (8*d[15])/3 - 2*d[17] - 4*d[18] + 
       (8*d[19])/3 - 4*d[20] + (8*d[21])/3 + (32*d[22])/3 + (2*d[23])/3 + 
       (8*d[24])/3)*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     ((10*d[3])/3 - 6*d[4] + (29*d[5])/3 + (8*d[6])/3 - (11*d[7])/6 - 
       (47*d[8])/6 + (27*d[9])/2 + 12*d[11] - 5*d[12] - (2*d[13])/3 - 
       (8*d[14])/3 - (16*d[15])/3 + (29*d[16])/3 - (10*d[17])/3 - 
       (20*d[18])/3 + (7*d[19])/3 + (133*d[20])/12 + (26*d[21])/3 + 5*d[22] + 
       d[23]/6 + (21*d[24])/4 - (4*d[26])/3 + (4*d[27])/3 - (2*d[31])/3 - 
       d[32]/3 - (14*d[33])/3 + (16*d[34])/3 - 2*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1}, 1 - w] + (-8*d[4] + (14*d[6])/3 - 2*d[12] + 
       (8*d[15])/3 + 2*d[17] + 4*d[18] - (8*d[19])/3 + 4*d[20] - 
       (8*d[21])/3 - (32*d[22])/3 - (2*d[23])/3 - (8*d[24])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     (4*d[2] + 12*d[3] - 12*d[4] + (46*d[6])/3 + 6*d[10] - 22*d[12] + 
       12*d[13] + (112*d[15])/3 + 12*d[16] - 22*d[17] + 100*d[18] - 
       (112*d[19])/3 + 20*d[20] - (112*d[21])/3 - (112*d[22])/3 + 
       (26*d[23])/3 - (52*d[24])/3 + 6*d[29] + 6*d[35] - 36*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u] + 
     ((-26*d[3])/3 + 22*d[4] - (115*d[5])/3 - (58*d[6])/3 + (55*d[7])/6 + 
       (295*d[8])/6 - (219*d[9])/2 + (53*d[10])/2 - 111*d[11] + 23*d[12] + 
       (16*d[13])/3 + (40*d[14])/3 + (128*d[15])/3 - (461*d[16])/6 - 
       (22*d[17])/3 + (268*d[18])/3 - (95*d[19])/3 - (665*d[20])/12 - 
       (199*d[21])/3 - 48*d[22] + (7*d[23])/6 - (189*d[24])/4 + 
       (20*d[26])/3 - (32*d[27])/3 + (5*d[29])/2 + (22*d[31])/3 + 
       (11*d[32])/3 + (49*d[33])/3 - (71*d[34])/3 + 3*d[35] + 4*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u] + 
     (-4*d[2] - 12*d[3] + 12*d[4] - (46*d[6])/3 - 6*d[10] + 22*d[12] - 
       12*d[13] - (112*d[15])/3 - 12*d[16] + 22*d[17] - 100*d[18] + 
       (112*d[19])/3 - 20*d[20] + (112*d[21])/3 + (112*d[22])/3 - 
       (26*d[23])/3 + (52*d[24])/3 - 6*d[29] - 6*d[35] + 36*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u] + 
     (-2*d[4] + (58*d[6])/3 + 2*d[12] - 6*d[14] + (28*d[15])/3 - 6*d[17] + 
       60*d[18] - (22*d[19])/3 + 26*d[20] - (64*d[21])/3 - (28*d[22])/3 - 
       (4*d[23])/3 - (76*d[24])/3 - 3*d[25])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1}, 1 - v] + ((-20*d[3])/3 + 20*d[4] - (145*d[5])/3 - 
       (40*d[6])/3 + (55*d[7])/6 + (235*d[8])/6 - (135*d[9])/2 - 80*d[11] + 
       25*d[12] + (10*d[13])/3 + (40*d[14])/3 + (80*d[15])/3 - 
       (145*d[16])/3 + (50*d[17])/3 + (100*d[18])/3 - (65*d[19])/3 - 
       (665*d[20])/12 - (130*d[21])/3 - 45*d[22] - (5*d[23])/6 - 
       (105*d[24])/4 + (20*d[26])/3 - (20*d[27])/3 + (10*d[31])/3 + 
       (5*d[32])/3 + (70*d[33])/3 - (80*d[34])/3 + 10*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - v] + (2*d[4] - (58*d[6])/3 - 2*d[12] + 
       6*d[14] - (28*d[15])/3 + 6*d[17] - 60*d[18] + (22*d[19])/3 - 
       26*d[20] + (64*d[21])/3 + (28*d[22])/3 + (4*d[23])/3 + (76*d[24])/3 + 
       3*d[25])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     ((142*d[6])/3 - 2*d[12] - 12*d[14] + (16*d[15])/3 - 6*d[16] - 22*d[17] + 
       100*d[18] + (2*d[19])/3 + 32*d[20] - (16*d[21])/3 + (2*d[22])/3 - 
       (10*d[23])/3 - (232*d[24])/3 - 6*d[32] + 12*d[34] - 6*d[35] + 
       36*d[36])*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w] + 
     ((-74*d[3])/3 + 40*d[4] - (127*d[5])/3 - (55*d[6])/3 + (151*d[7])/6 + 
       (361*d[8])/6 - (201*d[9])/2 - (67*d[10])/2 - 119*d[11] + 41*d[12] + 
       (10*d[13])/3 + (40*d[14])/3 + (181*d[15])/6 - (202*d[16])/3 + 
       (235*d[17])/6 - (49*d[18])/6 - (98*d[19])/3 - (665*d[20])/12 - 
       (187*d[21])/3 - 66*d[22] - (161*d[23])/6 - (261*d[24])/4 + 
       (23*d[26])/3 - (2*d[27])/3 + (16*d[31])/3 + (29*d[32])/3 + 
       (88*d[33])/3 - (122*d[34])/3 + 3*d[35] + 4*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - w] + ((-142*d[6])/3 + 2*d[12] + 12*d[14] - 
       (16*d[15])/3 + 6*d[16] + 22*d[17] - 100*d[18] - (2*d[19])/3 - 
       32*d[20] + (16*d[21])/3 - (2*d[22])/3 + (10*d[23])/3 + (232*d[24])/3 + 
       6*d[32] - 12*d[34] + 6*d[35] - 36*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - w] + (4*d[2] + 4*d[3] - 4*d[4] + 10*d[6] + 
       2*d[10] - 11*d[12] + 4*d[13] + 19*d[15] + 4*d[16] - 6*d[17] + 
       44*d[18] - 19*d[19] + 12*d[20] - 19*d[21] - 19*d[22] + 3*d[23] - 
       8*d[24] + 2*d[29] + 2*d[35] - 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 0, 1}, 1 - u] + (-6*d[3] + 14*d[4] - (41*d[5])/2 - 
       (23*d[6])/2 + (11*d[7])/2 + (57*d[8])/2 - (109*d[9])/2 + 12*d[10] - 
       58*d[11] + (31*d[12])/2 + 2*d[13] + 8*d[14] + 21*d[15] - 
       (77*d[16])/2 - d[17] + 44*d[18] - 15*d[19] - 32*d[20] - 37*d[21] - 
       23*d[22] - d[23] - 23*d[24] - d[25]/4 + 4*d[26] - 7*d[27] + d[29] + 
       4*d[31] + 2*d[32] + 8*d[33] - 12*d[34] + d[35] + 6*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     (-4*d[2] - 4*d[3] + 4*d[4] - 10*d[6] - 2*d[10] + 11*d[12] - 4*d[13] - 
       19*d[15] - 4*d[16] + 6*d[17] - 44*d[18] + 19*d[19] - 12*d[20] + 
       19*d[21] + 19*d[22] - 3*d[23] + 8*d[24] - 2*d[29] - 2*d[35] + 
       12*d[36])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     ((-5*d[4])/2 + (23*d[6])/2 - 2*d[12] - (5*d[14])/2 + (11*d[15])/2 + 
       27*d[18] - (7*d[19])/2 + (29*d[20])/2 - 9*d[21] - 6*d[22] + d[23]/2 - 
       13*d[24] - d[25])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v] + 
     (d[2] - 4*d[3] + 12*d[4] - 27*d[5] - (15*d[6])/2 + (7*d[7])/2 + 
       (45*d[8])/2 - (71*d[9])/2 + d[10] - (85*d[11])/2 + 12*d[12] + 
       3*d[13] + 6*d[14] + (31*d[15])/2 - (61*d[16])/2 + (21*d[17])/2 + 
       (29*d[18])/2 - 12*d[19] - 31*d[20] - 25*d[21] - 24*d[22] - 2*d[23] - 
       (37*d[24])/2 + (7*d[26])/2 - 4*d[27] + 2*d[31] + d[32] + 13*d[33] - 
       15*d[34] + 6*d[36])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v] + 
     ((5*d[4])/2 - (23*d[6])/2 + 2*d[12] + (5*d[14])/2 - (11*d[15])/2 - 
       27*d[18] + (7*d[19])/2 - (29*d[20])/2 + 9*d[21] + 6*d[22] - d[23]/2 + 
       13*d[24] + d[25])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v] + 
     (25*d[6] + 2*d[12] - 4*d[14] + 4*d[15] - 2*d[16] - 6*d[17] + 44*d[18] - 
       2*d[19] + 16*d[20] - 4*d[21] - 2*d[22] - 2*d[23] - 28*d[24] - 
       2*d[32] + 4*d[34] - 2*d[35] + 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 0, 1}, 1 - w] + (-13*d[3] + (43*d[4])/2 - (45*d[5])/2 - 
       (35*d[6])/4 + (25*d[7])/2 + (71*d[8])/2 - 51*d[9] - 11*d[10] - 
       62*d[11] + 21*d[12] + (5*d[13])/2 + 6*d[14] + 19*d[15] - 
       (89*d[16])/2 + (87*d[17])/4 - d[18]/4 - (35*d[19])/2 - (65*d[20])/2 - 
       35*d[21] - 35*d[22] - 11*d[23] - (149*d[24])/4 + (15*d[26])/4 - 
       d[29]/4 + 3*d[31] + (9*d[32])/2 + (31*d[33])/2 - 21*d[34] + d[35] + 
       6*d[36])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w] + 
     (-25*d[6] - 2*d[12] + 4*d[14] - 4*d[15] + 2*d[16] + 6*d[17] - 44*d[18] + 
       2*d[19] - 16*d[20] + 4*d[21] + 2*d[22] + 2*d[23] + 28*d[24] + 
       2*d[32] - 4*d[34] + 2*d[35] - 12*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - w] + (-12*d[4] + 26*d[6] + 24*d[12] + 
       20*d[15] - 18*d[17] + 90*d[18] - 16*d[19] + 48*d[20] - 44*d[21] - 
       28*d[22] + 4*d[23] + 16*d[24])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - u] + ((-61*d[3])/2 + (119*d[4])/2 - 
       (91*d[5])/2 - 41*d[6] + (7*d[7])/4 + 82*d[8] - (231*d[9])/4 + 
       (27*d[10])/2 - 75*d[11] + 15*d[12] + 17*d[13] + 8*d[14] + 
       (191*d[15])/2 - (175*d[16])/2 + 73*d[17] + 11*d[18] - 66*d[19] - 
       (215*d[20])/2 - 161*d[21] - (143*d[22])/2 + 16*d[23] + (189*d[24])/4 + 
       (29*d[26])/2 - (73*d[27])/4 + (3*d[28])/2 + (3*d[29])/4 + 6*d[30] + 
       11*d[31] + 7*d[32] + (31*d[33])/2 - 28*d[34] - (9*d[35])/2 + 60*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     (12*d[4] - 26*d[6] - 24*d[12] - 20*d[15] + 18*d[17] - 90*d[18] + 
       16*d[19] - 48*d[20] + 44*d[21] + 28*d[22] - 4*d[23] - 16*d[24])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     (26*d[6] - 36*d[12] + 42*d[13] - 12*d[14] - 4*d[15] + 42*d[16] + 
       51*d[18] + 4*d[19] + 72*d[20] + 4*d[21] + 4*d[22] + 16*d[23] - 
       50*d[24] + 3*d[28] + 3*d[29])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - v] + (8*d[3] + 12*d[4] - 59*d[5] - 26*d[6] + 
       (41*d[7])/2 + (197*d[8])/2 - (195*d[9])/2 + 24*d[10] - 108*d[11] + 
       45*d[12] + 2*d[13] + 8*d[14] + 46*d[15] - 77*d[16] + 22*d[17] + 
       56*d[18] - 37*d[19] - (331*d[20])/4 - 74*d[21] - 75*d[22] - 
       (31*d[23])/2 - (225*d[24])/4 + 10*d[26] - 16*d[27] + 2*d[31] + d[32] + 
       38*d[33] - 40*d[34] - 30*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - v] + (-26*d[6] + 36*d[12] - 42*d[13] + 
       12*d[14] + 4*d[15] - 42*d[16] - 51*d[18] - 4*d[19] - 72*d[20] - 
       4*d[21] - 4*d[22] - 16*d[23] + 50*d[24] - 3*d[28] - 3*d[29])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     (12*d[2] + 44*d[6] - 30*d[12] - 12*d[14] - 16*d[15] - 36*d[17] + 
       108*d[18] + 16*d[19] + 96*d[20] + 16*d[21] + 16*d[22] + 22*d[23] + 
       16*d[24] - 6*d[25])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w] + 
     (9*d[2] - (41*d[3])/2 + 42*d[4] - (103*d[5])/2 - 23*d[6] + (3*d[7])/4 + 
       (415*d[8])/4 - (375*d[9])/4 + (57*d[10])/2 - (171*d[11])/2 + 
       45*d[12] - 55*d[13] - (59*d[14])/2 + (97*d[15])/4 - (361*d[16])/2 + 
       (109*d[17])/4 + (155*d[18])/4 + 5*d[19] - 34*d[20] - 68*d[21] - 
       18*d[22] - 20*d[23] - (399*d[24])/4 - 3*d[25] + 10*d[26] - 7*d[27] - 
       9*d[28] - 3*d[29] + 24*d[30] + d[31]/2 + d[32]/4 + 23*d[33] - 
       (47*d[34])/2 - (9*d[35])/2 + 60*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - w] + (-12*d[2] - 44*d[6] + 30*d[12] + 
       12*d[14] + 16*d[15] + 36*d[17] - 108*d[18] - 16*d[19] - 96*d[20] - 
       16*d[21] - 16*d[22] - 22*d[23] - 16*d[24] + 6*d[25])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - w] + (-4*d[4] + (31*d[6])/3 + 8*d[12] + 
       (25*d[15])/3 - 3*d[17] + 28*d[18] - (13*d[19])/3 + 14*d[20] - 
       (49*d[21])/3 - (25*d[22])/3 + (8*d[23])/3 + (8*d[24])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     ((-61*d[3])/6 + (37*d[4])/2 - (31*d[5])/3 - (31*d[6])/3 + (5*d[7])/3 + 
       (305*d[8])/12 - (29*d[9])/2 + (5*d[10])/2 - (37*d[11])/2 + 
       (5*d[12])/2 + (16*d[13])/3 + (4*d[14])/3 + (92*d[15])/3 - 
       (73*d[16])/3 + (74*d[17])/3 + d[18]/3 - (62*d[19])/3 - 
       (727*d[20])/24 - (305*d[21])/6 - (39*d[22])/2 + (71*d[23])/12 + 
       (131*d[24])/8 + (25*d[26])/6 - (65*d[27])/12 + d[28]/2 + d[29]/4 + 
       2*d[30] + (10*d[31])/3 + (13*d[32])/6 + (17*d[33])/6 - (20*d[34])/3 - 
       (3*d[35])/2 + 19*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     (4*d[4] - (31*d[6])/3 - 8*d[12] - (25*d[15])/3 + 3*d[17] - 28*d[18] + 
       (13*d[19])/3 - 14*d[20] + (49*d[21])/3 + (25*d[22])/3 - (8*d[23])/3 - 
       (8*d[24])/3)*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     ((25*d[6])/3 - (21*d[12])/2 + 14*d[13] - 4*d[14] - (2*d[15])/3 + 
       14*d[16] + d[17] + 15*d[18] + (2*d[19])/3 + 22*d[20] + (2*d[21])/3 + 
       (2*d[22])/3 + (17*d[23])/3 - (101*d[24])/6 + d[28] + d[29])*
      HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v] + 
     ((10*d[3])/3 + 2*d[4] - (89*d[5])/6 - (22*d[6])/3 + (71*d[7])/12 + 
       (347*d[8])/12 - (103*d[9])/4 + 8*d[10] - 28*d[11] + (25*d[12])/2 + 
       d[13]/3 + (4*d[14])/3 + (38*d[15])/3 - (125*d[16])/6 + (17*d[17])/3 + 
       (46*d[18])/3 - (61*d[19])/6 - (529*d[20])/24 - (61*d[21])/3 - 
       (41*d[22])/2 - (61*d[23])/12 - (129*d[24])/8 + (8*d[26])/3 - 
       (14*d[27])/3 + d[31]/3 + d[32]/6 + (31*d[33])/3 - (32*d[34])/3 - 
       11*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v] + 
     ((-25*d[6])/3 + (21*d[12])/2 - 14*d[13] + 4*d[14] + (2*d[15])/3 - 
       14*d[16] - d[17] - 15*d[18] - (2*d[19])/3 - 22*d[20] - (2*d[21])/3 - 
       (2*d[22])/3 - (17*d[23])/3 + (101*d[24])/6 - d[28] - d[29])*
      HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v] + 
     (4*d[2] + (46*d[6])/3 - 9*d[12] - 4*d[14] - (8*d[15])/3 - 9*d[17] + 
       34*d[18] + (8*d[19])/3 + 30*d[20] + (8*d[21])/3 + (8*d[22])/3 + 
       (23*d[23])/3 + (8*d[24])/3 - 2*d[25])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - w] + (3*d[2] - (37*d[3])/6 + 12*d[4] - 
       (37*d[5])/3 - (19*d[6])/3 + d[7]/6 + (193*d[8])/6 - 26*d[9] + 
       (15*d[10])/2 - (45*d[11])/2 + (25*d[12])/2 - (109*d[13])/6 - 
       (35*d[14])/3 + (65*d[15])/12 - (166*d[16])/3 + (89*d[17])/12 + 
       (115*d[18])/12 + (23*d[19])/6 - (127*d[20])/24 - (55*d[21])/3 - 
       (3*d[22])/2 - (79*d[23])/12 - (245*d[24])/8 - d[25] + (8*d[26])/3 - 
       (5*d[27])/3 - 3*d[28] - d[29] + 8*d[30] - d[31]/6 - d[32]/12 + 
       (16*d[33])/3 - (31*d[34])/6 - (3*d[35])/2 + 19*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - w] + (-4*d[2] - (46*d[6])/3 + 9*d[12] + 
       4*d[14] + (8*d[15])/3 + 9*d[17] - 34*d[18] - (8*d[19])/3 - 30*d[20] - 
       (8*d[21])/3 - (8*d[22])/3 - (23*d[23])/3 - (8*d[24])/3 + 2*d[25])*
      HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w] + 
     (-2*d[4] - 18*d[6] - d[12] + 4*d[15] + 41*d[17] - 36*d[18] - d[19]/2 + 
       7*d[21] - 2*d[22] + 2*d[23] + 24*d[24])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - u] + (8*d[1] + 8*d[2])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1}, 1 - w] + (4*d[1] + 6*d[2] + 6*d[12] + 18*d[14] + 
       48*d[20] + 18*d[23] + 18*d[24])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - w] + (-8*d[1] - 8*d[2])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - w] + (4*d[5] - 12*d[11] - 16*d[16] - 48*d[24])*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - u] + (-12*d[3] + 8*d[4] - 12*d[9] - 
       28*d[11] - 6*d[16] - 8*d[19] - 36*d[21] - 12*d[22] + 6*d[24] - 
       12*d[34])*HPL[{0, 0, 0, 0, 1, 1}, 1 - w] + 
     (-3*d[5] - 3*d[11] - 16*d[24])*HPL[{0, 0, 0, 1, 0, 1}, 1 - u] + 
     (-3*d[3] - 3*d[9] - 3*d[11] - (3*d[16])/2 - 13*d[21] - 3*d[22] + 
       (11*d[24])/2 - 3*d[34])*HPL[{0, 0, 0, 1, 0, 1}, 1 - w] + 
     (36*d[6] - 18*d[9] + 6*d[10] - 42*d[11] - 48*d[15] - 3*d[16] + 
       36*d[17] - 108*d[18] + 54*d[19] + 48*d[21] + 54*d[22] - 45*d[24] - 
       6*d[29])*HPL[{0, 0, 0, 1, 1, 1}, 1 - u] + 
     (-12*d[3] + 12*d[4] - 60*d[5] + 48*d[6] + 12*d[9] - 6*d[10] + 9*d[11] - 
       36*d[15] + 66*d[16] - 24*d[17] + 96*d[18] + 36*d[19] + 36*d[21] + 
       36*d[22] + 12*d[24] + 6*d[25] + 6*d[29] + 24*d[31] + 9*d[32] - 
       12*d[34])*HPL[{0, 0, 0, 1, 1, 1}, 1 - w] + 
     (18*d[6] - 6*d[9] + 2*d[10] - 11*d[11] - 24*d[15] - d[16] + 20*d[17] - 
       56*d[18] + 26*d[19] + 24*d[21] + 26*d[22] - 21*d[24] - 2*d[29])*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - u] + (-4*d[3] + 4*d[4] - 20*d[5] + 
       24*d[6] + 4*d[9] - 3*d[10] + 3*d[11] - 18*d[15] + 23*d[16] - 
       16*d[17] + 52*d[18] + 18*d[19] + 18*d[21] + 18*d[22] + 9*d[24] + 
       2*d[25] + 2*d[29] + 8*d[31] + 3*d[32] - 4*d[34])*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - w] + (6*d[6] - 2*d[9] + 2*d[11] - 8*d[15] + 
       d[16] + 8*d[17] - 20*d[18] + 8*d[19] + 8*d[21] + 8*d[22] - 5*d[24])*
      HPL[{0, 0, 1, 1, 0, 1}, 1 - u] + (8*d[6] - d[10] + 3*d[11] - 6*d[15] + 
       d[16] - 8*d[17] + 20*d[18] + 6*d[19] + 6*d[21] + 6*d[22] + 3*d[24] + 
       d[32])*HPL[{0, 0, 1, 1, 0, 1}, 1 - w] + 
     (4*d[4] + 102*d[6] + 32*d[15] + 154*d[17] - 174*d[18] - 24*d[19] + 
       32*d[21] - 20*d[22] - 96*d[24] - 6*d[26])*HPL[{0, 0, 1, 1, 1, 1}, 
       1 - u] + (4*d[1] - 32*d[6] - 102*d[15] - 154*d[17] + 174*d[18] + 
       108*d[19] + 108*d[21] + 108*d[22] + 96*d[24] - 6*d[25])*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - w] + (3*d[4] + (51*d[6])/2 + 8*d[15] + 
       (77*d[17])/2 - (87*d[18])/2 - 8*d[19] + 8*d[21] - 5*d[22] - 24*d[24] - 
       (3*d[26])/2)*HPL[{0, 1, 0, 1, 1, 1}, 1 - u] + 
     (3*d[1] - 8*d[6] - (51*d[15])/2 - (77*d[17])/2 + (87*d[18])/2 + 
       27*d[19] + 27*d[21] + 27*d[22] + 24*d[24] - (3*d[25])/2)*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - w] + 15*d[1]*HPL[{0, 1, 1, 1, 1, 1}, 
       1 - w] + ((-5*d[6])/3 + 2*d[12] - d[13] + 2*d[14] + d[15]/3 - d[16] - 
       d[17] - d[19]/3 - 4*d[20] - d[21]/3 - d[22]/3 - (4*d[23])/3 - d[24]/3)*
      HPL[{1}, 1 - u]*M1[u, v, w] + (-d[2] - (2*d[3])/3 + (11*d[5])/3 + 
       (2*d[6])/3 + (11*d[7])/12 - (55*d[8])/12 + (15*d[9])/4 - (7*d[10])/2 + 
       4*d[11] - d[12]/2 - (2*d[13])/3 + (4*d[14])/3 - (7*d[15])/3 + 
       (55*d[16])/6 - (4*d[17])/3 - (5*d[18])/3 + (5*d[19])/6 + 
       (65*d[20])/24 + (8*d[21])/3 + (5*d[22])/2 + (17*d[23])/12 + 
       (33*d[24])/8 - d[26]/3 - d[27]/6 + d[31]/3 + d[32]/6 - (5*d[33])/3 + 
       (4*d[34])/3 + d[36])*HPL[{1}, 1 - v]*M1[u, v, w] + 
     ((5*d[6])/3 - 2*d[12] + d[13] - 2*d[14] - d[15]/3 + d[16] + d[17] + 
       d[19]/3 + 4*d[20] + d[21]/3 + d[22]/3 + (4*d[23])/3 + d[24]/3)*
      HPL[{1}, 1 - w]*M1[u, v, w] + (-d[2] - d[6]/3 - d[12] + d[13] - d[14] - 
       d[15]/3 + d[16] + d[19]/3 + d[20] + d[21]/3 + d[22]/3 + d[23]/3 + 
       d[24]/3)*HPL[{1}, 1 - u]*M1[v, u, w] + 
     ((5*d[3])/3 - 2*d[4] - (5*d[5])/3 + (5*d[6])/6 + d[7]/3 + (7*d[8])/3 - 
       2*d[9] + (5*d[10])/2 - d[12] - d[13]/3 - (4*d[14])/3 + (17*d[15])/6 - 
       (25*d[16])/6 + d[17]/3 + (2*d[18])/3 - (17*d[19])/6 + d[20]/6 - 
       (2*d[21])/3 - (9*d[22])/2 - (2*d[23])/3 - 2*d[24] - d[26]/6 + 
       (2*d[27])/3 - d[31]/3 - d[32]/6 + (5*d[33])/3 - (4*d[34])/3 - 4*d[36])*
      HPL[{1}, 1 - v]*M1[v, u, w] + (d[2] + d[6]/3 + d[12] - d[13] + d[14] + 
       d[15]/3 - d[16] - d[19]/3 - d[20] - d[21]/3 - d[22]/3 - d[23]/3 - 
       d[24]/3)*HPL[{1}, 1 - w]*M1[v, u, w] + 
     ((-4*d[6])/3 + d[12] - d[13] + d[14] - d[15]/3 - d[16] - d[17] + 
       d[19]/3 - 3*d[20] + d[21]/3 + d[22]/3 - (2*d[23])/3 - (2*d[24])/3)*
      HPL[{1}, 1 - u]*M1[v, w, u] + ((2*d[3])/3 - d[4] + (11*d[5])/6 + 
       (5*d[6])/6 + d[7]/12 - (71*d[8])/12 + (15*d[9])/4 - (7*d[10])/2 + 
       (7*d[11])/2 - (5*d[12])/2 - d[13]/3 + (2*d[14])/3 - (25*d[15])/6 + 
       (25*d[16])/3 - (13*d[17])/6 - (23*d[18])/6 + (13*d[19])/6 + 
       (115*d[20])/24 + (13*d[21])/3 + (7*d[22])/2 - (17*d[23])/12 + 
       (7*d[24])/8 - d[26]/6 - d[27]/3 - d[31]/3 - d[32]/6 - (4*d[33])/3 + 
       (5*d[34])/3 - d[36])*HPL[{1}, 1 - v]*M1[v, w, u] + 
     ((4*d[6])/3 - d[12] + d[13] - d[14] + d[15]/3 + d[16] + d[17] - 
       d[19]/3 + 3*d[20] - d[21]/3 - d[22]/3 + (2*d[23])/3 + (2*d[24])/3)*
      HPL[{1}, 1 - w]*M1[v, w, u] + (-d[6] + 2*d[12] - d[13] + d[14] - 
       d[16] - d[17] - 3*d[20] - d[23])*HPL[{1}, 1 - u]*M1[w, u, v] + 
     (-d[3] + (5*d[5])/2 + (3*d[6])/2 - (5*d[7])/4 - (25*d[8])/4 + 
       (19*d[9])/4 - 2*d[10] + 5*d[11] - (5*d[12])/2 - (5*d[15])/2 + 
       4*d[16] - d[17] - 3*d[18] + 2*d[19] + (33*d[20])/8 + 4*d[21] + 
       4*d[22] + (5*d[23])/4 + (27*d[24])/8 - d[26]/2 + d[27] - 2*d[33] + 
       2*d[34] + 3*d[36])*HPL[{1}, 1 - v]*M1[w, u, v] + 
     (d[6] - 2*d[12] + d[13] - d[14] + d[16] + d[17] + 3*d[20] + d[23])*
      HPL[{1}, 1 - w]*M1[w, u, v] + (d[4] + d[6]/3 + d[13] - d[14] - 
       (2*d[15])/3 + d[16] + (2*d[19])/3 + d[20] - d[21]/3 + (5*d[22])/3 + 
       (2*d[23])/3 + (2*d[24])/3)*HPL[{1}, 1 - u]*M1[w, v, u] + 
     ((4*d[3])/3 - 2*d[4] - (5*d[5])/6 + d[6]/6 + d[7]/6 + (5*d[8])/3 - 
       2*d[9] + (5*d[10])/2 - (3*d[11])/2 + d[12] - (2*d[13])/3 - 
       (2*d[14])/3 + d[15]/6 - (17*d[16])/6 - (5*d[17])/6 + (23*d[18])/6 + 
       d[19]/3 + (7*d[20])/12 + (2*d[21])/3 - d[22] + d[23]/6 + (5*d[24])/4 + 
       d[26]/6 + (5*d[27])/6 - (2*d[31])/3 - d[32]/3 + d[33]/3 + d[34]/3 - 
       2*d[36])*HPL[{1}, 1 - v]*M1[w, v, u] + 
     (-d[4] - d[6]/3 - d[13] + d[14] + (2*d[15])/3 - d[16] - (2*d[19])/3 - 
       d[20] + d[21]/3 - (5*d[22])/3 - (2*d[23])/3 - (2*d[24])/3)*
      HPL[{1}, 1 - w]*M1[w, v, u] + (d[6]/3 + d[15]/3 + d[18] - d[19]/3 - 
       d[21]/3 - d[22]/3 - d[23]/3 - d[24]/3)*HPL[{1}, 1 - u]*Nt[u, v, w] + 
     ((-2*d[3])/3 + d[4] - (5*d[5])/6 - (5*d[6])/6 - (5*d[7])/6 - d[8]/3 + 
       d[10] - d[11] + d[12] + d[13]/3 + d[14]/3 - d[15]/3 - (11*d[16])/6 - 
       d[17]/3 + (4*d[18])/3 + (5*d[19])/6 - (5*d[20])/12 - d[21]/3 + 
       d[22]/2 + (7*d[23])/6 - (3*d[24])/4 + d[26]/6 - d[27]/6 + d[31]/3 + 
       d[32]/6 + d[33]/3 - (2*d[34])/3 + d[36])*HPL[{1}, 1 - v]*Nt[u, v, w] + 
     (-d[6]/3 - d[15]/3 - d[18] + d[19]/3 + d[21]/3 + d[22]/3 + d[23]/3 + 
       d[24]/3)*HPL[{1}, 1 - w]*Nt[u, v, w] + 
     ((-2*d[6])/3 + 2*d[13] - 2*d[14] - (2*d[15])/3 + 2*d[16] - 2*d[18] + 
       (2*d[19])/3 + 2*d[20] + (2*d[21])/3 + (2*d[22])/3 + (2*d[23])/3 + 
       (8*d[24])/3)*HPL[{1}, 1 - u]^2*Omega2[u, v, w] + 
     ((4*d[3])/3 - 2*d[4] - d[5]/3 - (5*d[6])/3 - d[7]/3 + (17*d[8])/3 + 
       8*d[10] + 3*d[11] - (8*d[13])/3 - (2*d[14])/3 - (2*d[15])/3 - 
       (40*d[16])/3 - (4*d[17])/3 - (14*d[18])/3 + (8*d[19])/3 - 
       (19*d[20])/6 + 4*d[21] + (4*d[22])/3 - 3*d[23] - (49*d[24])/6 - 
       d[26]/3 + (4*d[27])/3 - (2*d[31])/3 - d[32]/3 + (4*d[33])/3 - 
       (2*d[34])/3 - 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      Omega2[u, v, w] + ((8*d[3])/3 - 4*d[4] + (16*d[5])/3 + (4*d[6])/3 + 
       (11*d[7])/6 - (67*d[8])/6 + (15*d[9])/2 - 10*d[10] + 8*d[11] - d[12] - 
       (4*d[13])/3 + (2*d[14])/3 - (14*d[15])/3 + (67*d[16])/3 - 
       (14*d[17])/3 + (2*d[18])/3 - d[19]/3 + (89*d[20])/12 + (16*d[21])/3 + 
       3*d[22] + (17*d[23])/6 + (69*d[24])/4 - (2*d[26])/3 - d[27]/3 - 
       (4*d[31])/3 - (2*d[32])/3 - (10*d[33])/3 + (14*d[34])/3 - 4*d[36])*
      HPL[{1}, 1 - v]^2*Omega2[u, v, w] + 
     ((4*d[6])/3 - 2*d[13] + 2*d[14] + (4*d[15])/3 - 2*d[16] + 4*d[18] - 
       (4*d[19])/3 - 2*d[20] - (4*d[21])/3 - (4*d[22])/3 - (4*d[23])/3 - 
       (10*d[24])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[u, v, w] + 
     ((-4*d[3])/3 + 2*d[4] - (5*d[5])/3 + (5*d[6])/3 - (5*d[7])/3 - 
       (2*d[8])/3 + 2*d[10] - 2*d[11] + (8*d[13])/3 - (4*d[14])/3 + 
       (2*d[15])/3 - (5*d[16])/3 + (4*d[17])/3 + (14*d[18])/3 + d[19]/3 + 
       (31*d[20])/6 - 2*d[21] - d[22]/3 + 3*d[23] - (5*d[24])/6 + d[26]/3 - 
       d[27]/3 + (2*d[31])/3 + d[32]/3 + (2*d[33])/3 - (4*d[34])/3 + 2*d[36])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w] + 
     ((-2*d[6])/3 - (2*d[15])/3 - 2*d[18] + (2*d[19])/3 + (2*d[21])/3 + 
       (2*d[22])/3 + (2*d[23])/3 + (2*d[24])/3)*HPL[{1}, 1 - w]^2*
      Omega2[u, v, w] + ((2*d[6])/3 + (2*d[15])/3 + 2*d[18] - (2*d[19])/3 - 
       (2*d[21])/3 - (2*d[22])/3 - (2*d[23])/3 - (2*d[24])/3)*
      HPL[{1}, 1 - u]^2*Omega2[v, w, u] + 
     ((-4*d[3])/3 + 2*d[4] - (5*d[5])/3 - 3*d[6] - (5*d[7])/3 - (2*d[8])/3 + 
       2*d[10] - 2*d[11] + (8*d[13])/3 - (4*d[14])/3 - 2*d[15] - 
       (5*d[16])/3 - (2*d[17])/3 + (2*d[18])/3 + 3*d[19] + (7*d[20])/6 + 
       (2*d[21])/3 + (7*d[22])/3 + (11*d[23])/3 - d[24]/6 + d[26]/3 - 
       d[27]/3 + (2*d[31])/3 + d[32]/3 + (2*d[33])/3 - (4*d[34])/3 + 2*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[v, w, u] + 
     ((14*d[3])/3 - 6*d[4] - (5*d[5])/3 + d[6]/3 + (7*d[7])/3 + (16*d[8])/3 - 
       4*d[9] + 2*d[10] + d[11] + 2*d[12] - (4*d[13])/3 - (10*d[14])/3 + 
       d[15]/3 - (8*d[16])/3 - (5*d[17])/3 + (23*d[18])/3 - (4*d[19])/3 + 
       (19*d[20])/6 + (10*d[21])/3 - 4*d[22] + d[23]/3 + (7*d[24])/2 + 
       d[26]/3 + (5*d[27])/3 - (4*d[31])/3 - (2*d[32])/3 + (8*d[33])/3 - 
       (4*d[34])/3 - 10*d[36])*HPL[{1}, 1 - v]^2*Omega2[v, w, u] + 
     ((-10*d[6])/3 + 4*d[12] - 2*d[13] + 2*d[14] - (4*d[15])/3 - 2*d[16] - 
       2*d[17] - 4*d[18] + (4*d[19])/3 - 6*d[20] + (4*d[21])/3 + 
       (4*d[22])/3 - (2*d[23])/3 + (4*d[24])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*Omega2[v, w, u] + ((-2*d[3])/3 + (20*d[5])/3 + 4*d[6] - 
       (5*d[7])/6 - (65*d[8])/6 + (23*d[9])/2 - 4*d[10] + 10*d[11] - 
       3*d[12] - (8*d[13])/3 + (10*d[14])/3 - 3*d[15] + (35*d[16])/3 - 
       (7*d[17])/3 - (23*d[18])/3 + d[19] + (61*d[20])/12 + (10*d[21])/3 + 
       (17*d[22])/3 - (7*d[23])/6 + (59*d[24])/12 - (4*d[26])/3 - 
       (2*d[27])/3 - (2*d[31])/3 - d[32]/3 - (14*d[33])/3 + (16*d[34])/3 + 
       4*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[v, w, u] + 
     ((8*d[6])/3 - 4*d[12] + 2*d[13] - 2*d[14] + (2*d[15])/3 + 2*d[16] + 
       2*d[17] + 2*d[18] - (2*d[19])/3 + 6*d[20] - (2*d[21])/3 - 
       (2*d[22])/3 + (4*d[23])/3 - (2*d[24])/3)*HPL[{1}, 1 - w]^2*
      Omega2[v, w, u] + (-4*d[6] + 4*d[12] - 2*d[13] + 2*d[14] - 2*d[16] - 
       2*d[17] - 2*d[18] - 6*d[20] - 2*d[23])*HPL[{1}, 1 - u]^2*
      Omega2[w, u, v] + (-2*d[4] + 6*d[5] + (11*d[6])/3 + d[7]/2 - 
       (17*d[8])/2 + (19*d[9])/2 - 4*d[10] + 11*d[11] - 3*d[12] - 
       (10*d[15])/3 + 11*d[16] - 2*d[17] - 4*d[18] + d[19]/3 + (33*d[20])/4 + 
       (22*d[21])/3 + (7*d[22])/3 - d[23]/6 + (49*d[24])/12 - d[26] + d[27] - 
       2*d[33] + 2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[w, u, v] + 
     ((-4*d[3])/3 + 2*d[4] - (5*d[5])/3 - (5*d[6])/3 - (5*d[7])/3 - 
       (2*d[8])/3 + 2*d[10] - 2*d[11] + 2*d[12] + (2*d[13])/3 + (2*d[14])/3 - 
       (2*d[15])/3 - (11*d[16])/3 - (2*d[17])/3 + (8*d[18])/3 + (5*d[19])/3 - 
       (5*d[20])/6 - (2*d[21])/3 + d[22] + (7*d[23])/3 - (3*d[24])/2 + 
       d[26]/3 - d[27]/3 + (2*d[31])/3 + d[32]/3 + (2*d[33])/3 - 
       (4*d[34])/3 + 2*d[36])*HPL[{1}, 1 - v]^2*Omega2[w, u, v] + 
     (4*d[6] - 6*d[12] + 4*d[13] - 4*d[14] - 2*d[15] + 4*d[16] + 2*d[17] + 
       2*d[19] + 8*d[20] + 2*d[21] + 2*d[22] + 4*d[23] + 2*d[24])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[w, u, v] + 
     (4*d[3] - 4*d[4] - d[5] - (2*d[6])/3 + d[7] + 3*d[8] - 2*d[9] + 
       2*d[10] - 2*d[13] - 2*d[14] - (2*d[15])/3 - 2*d[17] + 2*d[18] + 
       (2*d[19])/3 + 2*d[20] + (2*d[21])/3 + (2*d[22])/3 + (2*d[23])/3 + 
       (17*d[24])/3 - 2*d[31] - d[32] + 2*d[34] - 6*d[36])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Omega2[w, u, v] + (2*d[12] - 2*d[13] + 2*d[14] + 
       2*d[15] - 2*d[16] + 2*d[18] - 2*d[19] - 2*d[20] - 2*d[21] - 2*d[22] - 
       2*d[23] - 2*d[24])*HPL[{1}, 1 - w]^2*Omega2[w, u, v] + 
     ((7*d[6])/3 - d[12] + (4*d[15])/3 + d[17] + 2*d[18] - (4*d[19])/3 + 
       2*d[20] - (4*d[21])/3 - (4*d[22])/3 - d[23]/3 - (4*d[24])/3)*
      HPL[{1}, 1 - u]*Ot[u, v, w] + ((-2*d[3])/3 + 2*d[4] - (29*d[5])/6 - 
       (4*d[6])/3 + (11*d[7])/12 + (47*d[8])/12 - (27*d[9])/4 - 8*d[11] + 
       (5*d[12])/2 + d[13]/3 + (4*d[14])/3 + (8*d[15])/3 - (29*d[16])/6 + 
       (5*d[17])/3 + (10*d[18])/3 - (13*d[19])/6 - (133*d[20])/24 - 
       (13*d[21])/3 - (9*d[22])/2 - d[23]/12 - (21*d[24])/8 + (2*d[26])/3 - 
       (2*d[27])/3 + d[31]/3 + d[32]/6 + (7*d[33])/3 - (8*d[34])/3 + d[36])*
      HPL[{1}, 1 - v]*Ot[u, v, w] + ((-7*d[6])/3 + d[12] - (4*d[15])/3 - 
       d[17] - 2*d[18] + (4*d[19])/3 - 2*d[20] + (4*d[21])/3 + (4*d[22])/3 + 
       d[23]/3 + (4*d[24])/3)*HPL[{1}, 1 - w]*Ot[u, v, w] + 
     ((-224*d[6])/9 - 32*d[12] + (64*d[13])/3 - (64*d[14])/3 - 
       (128*d[15])/9 + (64*d[16])/3 - (32*d[17])/3 - (32*d[18])/3 + 
       (128*d[19])/9 + (128*d[20])/3 + (128*d[21])/9 + (128*d[22])/9 + 
       (224*d[23])/9 + (128*d[24])/9)*HPL[{1}, 1 - u]*Qep[u, v, w] + 
     ((448*d[3])/9 - 64*d[4] - (160*d[5])/9 + (32*d[6])/9 + (200*d[7])/9 + 
       (680*d[8])/9 - (184*d[9])/3 + (80*d[11])/3 + (128*d[12])/3 - 
       (128*d[13])/9 - (320*d[14])/9 - (160*d[15])/9 - (256*d[16])/9 - 
       (352*d[17])/9 + (736*d[18])/9 + (64*d[19])/9 + (304*d[20])/9 + 
       (512*d[21])/9 - (64*d[22])/3 + (32*d[23])/9 - 56*d[24] + 
       (32*d[26])/9 + (160*d[27])/9 - (128*d[31])/9 - (64*d[32])/9 + 
       (256*d[33])/9 - (128*d[34])/9 - (320*d[36])/3)*HPL[{1}, 1 - v]*
      Qep[u, v, w] + ((224*d[6])/9 + 32*d[12] - (64*d[13])/3 + (64*d[14])/3 + 
       (128*d[15])/9 - (64*d[16])/3 + (32*d[17])/3 + (32*d[18])/3 - 
       (128*d[19])/9 - (128*d[20])/3 - (128*d[21])/9 - (128*d[22])/9 - 
       (224*d[23])/9 - (128*d[24])/9)*HPL[{1}, 1 - w]*Qep[u, v, w] + 
     ((-256*d[6])/9 + 32*d[12] - (64*d[13])/3 + (64*d[14])/3 - (64*d[15])/9 - 
       (64*d[16])/3 - (64*d[17])/3 - (64*d[18])/3 + (64*d[19])/9 - 
       (128*d[20])/3 + (64*d[21])/9 + (64*d[22])/9 - (32*d[23])/9 + 
       (64*d[24])/9)*HPL[{1}, 1 - u]*Qep[u, w, v] + 
     ((-64*d[3])/9 + (640*d[5])/9 + (160*d[6])/9 - (8*d[7])/9 - 
       (776*d[8])/9 + (280*d[9])/3 - 64*d[10] + (304*d[11])/3 - 
       (128*d[12])/3 - (64*d[13])/9 + (128*d[14])/9 - (512*d[15])/9 + 
       (1312*d[16])/9 - (320*d[17])/9 - (640*d[18])/9 + (320*d[19])/9 + 
       (692*d[20])/9 + (544*d[21])/9 + (256*d[22])/3 + (232*d[23])/9 + 
       44*d[24] - (128*d[26])/9 - (64*d[27])/9 - (64*d[31])/9 - 
       (32*d[32])/9 - (448*d[33])/9 + (512*d[34])/9 + (128*d[36])/3)*
      HPL[{1}, 1 - v]*Qep[u, w, v] + ((256*d[6])/9 - 32*d[12] + 
       (64*d[13])/3 - (64*d[14])/3 + (64*d[15])/9 + (64*d[16])/3 + 
       (64*d[17])/3 + (64*d[18])/3 - (64*d[19])/9 + (128*d[20])/3 - 
       (64*d[21])/9 - (64*d[22])/9 + (32*d[23])/9 - (64*d[24])/9)*
      HPL[{1}, 1 - w]*Qep[u, w, v] + ((-160*d[6])/3 + (128*d[12])/3 - 
       (64*d[13])/3 + (64*d[14])/3 - (64*d[16])/3 - 32*d[17] - (32*d[18])/3 - 
       64*d[20] - (64*d[23])/3)*HPL[{1}, 1 - u]*Qep[v, u, w] + 
     ((-64*d[4])/3 + 64*d[5] + (128*d[6])/3 - (16*d[7])/3 - (304*d[8])/3 + 
       112*d[9] - (128*d[10])/3 + (416*d[11])/3 - (64*d[12])/3 - 
       (160*d[15])/3 + (352*d[16])/3 - 32*d[17] - 96*d[18] + (64*d[19])/3 + 
       (260*d[20])/3 + 96*d[21] + (128*d[22])/3 - (56*d[23])/3 - 20*d[24] - 
       (32*d[26])/3 + (32*d[27])/3 - (64*d[33])/3 + (64*d[34])/3)*
      HPL[{1}, 1 - v]*Qep[v, u, w] + ((160*d[6])/3 - (128*d[12])/3 + 
       (64*d[13])/3 - (64*d[14])/3 + (64*d[16])/3 + 32*d[17] + (32*d[18])/3 + 
       64*d[20] + (64*d[23])/3)*HPL[{1}, 1 - w]*Qep[v, u, w] + 
     ((-32*d[12])/3 + (64*d[13])/3 - (64*d[14])/3 - (64*d[15])/3 + 
       (64*d[16])/3 - (64*d[18])/3 + (64*d[19])/3 + (64*d[21])/3 + 
       (64*d[22])/3 + (32*d[23])/3 + (64*d[24])/3)*HPL[{1}, 1 - u]*
      Qep[v, w, u] + ((128*d[3])/3 - (128*d[4])/3 - (32*d[5])/3 + 
       (32*d[6])/3 + (8*d[7])/3 + (8*d[8])/3 + 8*d[9] + (128*d[10])/3 + 
       (16*d[11])/3 - (32*d[12])/3 - (64*d[13])/3 - (64*d[14])/3 + 
       (32*d[15])/3 - (32*d[17])/3 + (32*d[18])/3 - (32*d[19])/3 + 20*d[20] - 
       (32*d[21])/3 - (32*d[22])/3 - 24*d[23] + 76*d[24] - (64*d[31])/3 - 
       (32*d[32])/3 + (64*d[34])/3 - 64*d[36])*HPL[{1}, 1 - v]*Qep[v, w, u] + 
     ((32*d[12])/3 - (64*d[13])/3 + (64*d[14])/3 + (64*d[15])/3 - 
       (64*d[16])/3 + (64*d[18])/3 - (64*d[19])/3 - (64*d[21])/3 - 
       (64*d[22])/3 - (32*d[23])/3 - (64*d[24])/3)*HPL[{1}, 1 - w]*
      Qep[v, w, u] + ((32*d[6])/9 + (64*d[13])/3 - (64*d[14])/3 - 
       (64*d[15])/9 + (64*d[16])/3 + (32*d[17])/3 - 32*d[18] + (64*d[19])/9 + 
       (64*d[20])/3 + (64*d[21])/9 + (64*d[22])/9 + (64*d[23])/9 + 
       (256*d[24])/9)*HPL[{1}, 1 - u]*Qep[w, u, v] + 
     ((128*d[3])/9 - (64*d[4])/3 - (32*d[5])/9 + (64*d[6])/9 + (64*d[7])/9 + 
       (640*d[8])/9 - (32*d[9])/3 + (256*d[10])/3 + (32*d[11])/3 - 32*d[12] - 
       (64*d[13])/9 - (256*d[14])/9 + (160*d[15])/9 - (1088*d[16])/9 + 
       (160*d[17])/9 + (32*d[18])/9 + (32*d[19])/9 + (284*d[20])/9 + 
       (160*d[21])/9 - (32*d[22])/3 - (8*d[23])/9 - (28*d[24])/3 - 
       (32*d[26])/9 + (128*d[27])/9 - (64*d[31])/9 - (32*d[32])/9 + 
       (128*d[33])/9 - (64*d[34])/9 - (64*d[36])/3)*HPL[{1}, 1 - v]*
      Qep[w, u, v] + ((-32*d[6])/9 - (64*d[13])/3 + (64*d[14])/3 + 
       (64*d[15])/9 - (64*d[16])/3 - (32*d[17])/3 + 32*d[18] - (64*d[19])/9 - 
       (64*d[20])/3 - (64*d[21])/9 - (64*d[22])/9 - (64*d[23])/9 - 
       (256*d[24])/9)*HPL[{1}, 1 - w]*Qep[w, u, v] + 
     ((-224*d[6])/9 + 32*d[12] - (64*d[13])/3 + (64*d[14])/3 - 
       (128*d[15])/9 - (64*d[16])/3 - (32*d[17])/3 - 32*d[18] + 
       (128*d[19])/9 - (256*d[20])/3 + (128*d[21])/9 + (128*d[22])/9 - 
       (160*d[23])/9 - (64*d[24])/9)*HPL[{1}, 1 - u]*Qep[w, v, u] + 
     ((256*d[3])/9 - (128*d[4])/3 + (512*d[5])/9 + (128*d[6])/9 + 
       (200*d[7])/9 - (1240*d[8])/9 + (296*d[9])/3 - (256*d[10])/3 + 
       (208*d[11])/3 - 32*d[12] - (128*d[13])/9 + (64*d[14])/9 - 
       (256*d[15])/9 + (2144*d[16])/9 - (256*d[17])/9 + (64*d[18])/9 - 
       (224*d[19])/9 + (712*d[20])/9 + (320*d[21])/9 + (32*d[22])/3 + 
       (272*d[23])/9 + (832*d[24])/3 - (64*d[26])/9 - (32*d[27])/9 - 
       (128*d[31])/9 - (64*d[32])/9 - (320*d[33])/9 + (448*d[34])/9 - 
       (128*d[36])/3)*HPL[{1}, 1 - v]*Qep[w, v, u] + 
     ((224*d[6])/9 - 32*d[12] + (64*d[13])/3 - (64*d[14])/3 + (128*d[15])/9 + 
       (64*d[16])/3 + (32*d[17])/3 + 32*d[18] - (128*d[19])/9 + 
       (256*d[20])/3 - (128*d[21])/9 - (128*d[22])/9 + (160*d[23])/9 + 
       (64*d[24])/9)*HPL[{1}, 1 - w]*Qep[w, v, u] + 
     ((7*d[6])/6 - d[12] + d[15]/6 + d[17]/2 + d[18] - d[19]/6 + d[20] - 
       d[21]/6 - d[22]/6 + d[23]/3 - (2*d[24])/3)*HPL[{1}, 1 - u]^4*
      \[Zeta][2] + (-d[3]/3 + d[4] - (17*d[5])/12 - (7*d[6])/6 - d[7]/24 + 
       (17*d[8])/24 - (19*d[9])/8 - d[10] - (7*d[11])/2 - (3*d[12])/4 + 
       d[13]/6 + (2*d[14])/3 - d[15]/6 + d[16]/12 + d[17]/3 + (37*d[18])/6 + 
       (5*d[19])/12 - (37*d[20])/48 - (5*d[21])/3 + d[22]/4 + (11*d[23])/24 - 
       (25*d[24])/16 + d[26]/3 - (7*d[27])/12 + d[31]/6 + d[32]/12 + 
       d[33]/6 - d[34]/3 + d[36]/2)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      \[Zeta][2] + (-8*d[3] + 8*d[4] + 6*d[5] - (17*d[7])/2 - d[8]/2 + 
       (13*d[9])/2 + 5*d[10] + 6*d[11] - 8*d[12] + 2*d[13] + 2*d[14] - 
       8*d[15] - 14*d[16] + 3*d[17] - 17*d[18] + 14*d[19] + (13*d[20])/8 + 
       5*d[21] + 18*d[22] - (21*d[23])/2 - (387*d[24])/8 + 4*d[31] + 
       2*d[32] - 4*d[33] + 12*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      \[Zeta][2] + (-8*d[3] + 8*d[4] + 8*d[5] - (5*d[6])/6 - (13*d[7])/2 - 
       (11*d[8])/2 + (13*d[9])/2 - 6*d[10] + 4*d[11] + 4*d[13] + d[14] - 
       (4*d[15])/3 + 5*d[16] + (5*d[17])/2 - 9*d[18] + (13*d[19])/3 - 
       (25*d[20])/4 - (14*d[21])/3 + (31*d[22])/3 - (8*d[23])/3 - 
       (203*d[24])/12 - d[27] + 4*d[31] + 2*d[32] - 6*d[33] + 2*d[34] + 
       12*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*\[Zeta][2] + 
     ((-11*d[3])/6 + (5*d[4])/2 - (11*d[5])/12 - (5*d[6])/12 - (25*d[7])/24 + 
       (35*d[8])/24 - (7*d[9])/8 + 2*d[10] - (9*d[11])/4 - d[12]/4 + 
       (2*d[13])/3 + (2*d[14])/3 + (13*d[15])/12 - (59*d[16])/12 + 
       (19*d[17])/12 - (25*d[18])/12 + (5*d[19])/12 - (127*d[20])/48 - 
       (13*d[21])/6 + d[22]/4 - (19*d[23])/24 - (83*d[24])/16 + d[26]/12 - 
       d[27]/3 + (2*d[31])/3 + d[32]/3 + d[33]/6 - (5*d[34])/6 + (7*d[36])/2)*
      HPL[{1}, 1 - v]^4*\[Zeta][2] + ((5*d[6])/6 + d[12] - d[15]/6 + 
       (3*d[17])/2 - 3*d[18] + d[19]/6 - d[20] + d[21]/6 + d[22]/6 - 
       d[23]/3 + (2*d[24])/3)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (-8*d[3] + 6*d[4] + 7*d[5] - (10*d[6])/3 - (11*d[7])/2 + (5*d[8])/2 + 
       (5*d[9])/2 + 5*d[10] + 2*d[12] + 4*d[13] + (11*d[15])/3 - 12*d[16] + 
       3*d[17] - 7*d[18] + (7*d[19])/3 - 9*d[20] - (14*d[21])/3 + 
       (13*d[22])/3 - (2*d[23])/3 - (32*d[24])/3 + 2*d[27] + 4*d[31] + 
       2*d[32] - 4*d[33] + 12*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*\[Zeta][2] + ((20*d[3])/3 - 6*d[4] - (23*d[5])/3 + 
       (7*d[6])/3 + (29*d[7])/6 - (13*d[8])/6 - (9*d[9])/2 - 2*d[10] - 
       3*d[11] + 7*d[12] - (4*d[13])/3 - (4*d[14])/3 - (14*d[15])/3 + 
       (25*d[16])/3 - (14*d[17])/3 + (32*d[18])/3 - d[19]/3 + (37*d[20])/6 + 
       (22*d[21])/3 - 5*d[22] + (11*d[23])/6 + 15*d[24] + d[26]/3 - d[27]/3 - 
       (10*d[31])/3 - (5*d[32])/3 + (14*d[33])/3 - (4*d[34])/3 - 10*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (-8*d[3] + 6*d[4] + 6*d[5] - (7*d[6])/6 - 8*d[7] - 5*d[8] + 8*d[9] + 
       6*d[10] + 4*d[11] - 6*d[12] + 4*d[13] - 2*d[14] + (4*d[15])/3 - 
       12*d[16] + (13*d[17])/2 - 10*d[18] + (14*d[19])/3 - (17*d[20])/4 - 
       (4*d[21])/3 + (26*d[22])/3 - (7*d[23])/3 - (73*d[24])/12 + 3*d[27] + 
       4*d[31] + 2*d[32] - 4*d[33] + 12*d[36])*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*\[Zeta][2] + (-d[2] - 2*d[6] - 2*d[12] - 2*d[17] + 
       2*d[18] + (29*d[20])/4 + (7*d[23])/2 + d[24]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*\[Zeta][2] + (-4*d[2] - 8*d[3] + 8*d[4] + 9*d[5] - 
       (2*d[6])/3 - (7*d[7])/2 + (3*d[8])/2 + (5*d[9])/2 - d[10] - 4*d[12] + 
       2*d[13] + 2*d[14] - (5*d[15])/3 + d[16] + 8*d[17] - 2*d[18] + 
       (20*d[19])/3 - 5*d[20] - (13*d[21])/3 + (38*d[22])/3 + (5*d[23])/3 - 
       (73*d[24])/12 - d[27] + 4*d[31] + 2*d[32] - 6*d[33] + 2*d[34] + 
       12*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      \[Zeta][2] + (-8*d[3] + 8*d[4] + 6*d[5] - d[6] - 8*d[7] - 4*d[8] + 
       10*d[9] + 9*d[10] + 3*d[11] - 10*d[12] + 4*d[13] + 6*d[15] - 
       12*d[16] + 7*d[17] - 21*d[18] - 6*d[20] - 8*d[21] + 4*d[22] - 
       (29*d[23])/4 - 19*d[24] - d[26] + 4*d[31] + 2*d[32] - 4*d[33] + 
       12*d[36])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     ((4*d[2])/3 + (2*d[6])/3 + (3*d[12])/2 + (2*d[15])/3 + d[17]/2 + d[18] - 
       (2*d[19])/3 - (19*d[20])/2 - (2*d[21])/3 - (2*d[22])/3 - 
       (31*d[23])/6 - (5*d[24])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      \[Zeta][2] + (2*d[2] - (5*d[3])/6 + d[4] - (17*d[5])/12 - (8*d[6])/3 - 
       d[7]/24 + (47*d[8])/24 - (19*d[9])/8 + d[10]/2 - (5*d[11])/2 + 
       (5*d[12])/4 + (2*d[13])/3 + d[14]/6 + (13*d[15])/12 - (41*d[16])/12 - 
       (11*d[17])/12 - (7*d[18])/12 - (7*d[19])/12 - (109*d[20])/48 - 
       (7*d[21])/6 - (7*d[22])/4 + (11*d[23])/24 - (77*d[24])/16 + d[26]/3 + 
       d[27]/6 + (2*d[31])/3 + d[32]/3 + (7*d[33])/6 - (11*d[34])/6 + 
       d[36]/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*\[Zeta][2] + 
     (-d[1]/12 - d[2]/3 - (2*d[6])/3 + d[12]/2 - (2*d[15])/3 - d[17]/2 - 
       d[18] + (2*d[19])/3 + (9*d[20])/4 + (2*d[21])/3 + (2*d[22])/3 + 
       (5*d[23])/3 + (7*d[24])/6)*HPL[{1}, 1 - w]^4*\[Zeta][2] + 
     (2*d[4] + (10*d[6])/3 - 4*d[12] + (17*d[15])/6 - 4*d[17] + 
       (19*d[18])/2 - (11*d[19])/6 + (25*d[20])/4 - (23*d[21])/6 + d[22]/6 + 
       d[23]/6 - (121*d[24])/12 + d[26]/2)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + ((-5*d[3])/3 + 3*d[4] - (73*d[5])/12 - 
       (55*d[6])/6 - (29*d[7])/24 + (61*d[8])/24 - (95*d[9])/8 - 3*d[10] - 
       (27*d[11])/2 + (41*d[12])/4 - (43*d[13])/6 + (34*d[14])/3 + 
       (17*d[15])/6 - (139*d[16])/12 - (25*d[17])/3 + (89*d[18])/6 - 
       (19*d[19])/12 - (965*d[20])/48 - 8*d[21] - (53*d[22])/12 - 
       (23*d[23])/8 - (695*d[24])/48 + (5*d[26])/3 - (11*d[27])/12 + 
       (5*d[31])/6 + (5*d[32])/12 + (5*d[33])/6 - (5*d[34])/3 + (5*d[36])/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     ((-22*d[3])/3 + 6*d[4] + (25*d[5])/3 + (16*d[6])/3 - (31*d[7])/6 - 
       (181*d[8])/6 + (31*d[9])/2 - 24*d[10] + 14*d[11] + d[12] + 
       (8*d[13])/3 + (20*d[14])/3 - (47*d[15])/3 + (103*d[16])/3 - 
       (14*d[17])/3 - (58*d[18])/3 + (29*d[19])/3 + (14*d[20])/3 + 
       (40*d[21])/3 + 17*d[22] - (26*d[23])/3 - (39*d[24])/2 - (2*d[26])/3 - 
       d[27]/3 + (8*d[31])/3 + (4*d[32])/3 - (22*d[33])/3 + (14*d[34])/3 + 
       14*d[36])*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (-2*d[2] - 2*d[4] + (13*d[6])/6 + 4*d[9] - d[10] - 5*d[11] - 15*d[12] + 
       8*d[13] - 10*d[14] - (35*d[15])/6 + 9*d[16] + (9*d[17])/2 + 
       (35*d[19])/6 + (47*d[20])/2 - (7*d[21])/6 + (23*d[22])/6 + 
       (16*d[23])/3 - (13*d[24])/6 + 2*d[26] - 2*d[32])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (2*d[2] + 2*d[3] + 2*d[4] - 19*d[5] - (8*d[6])/3 + (11*d[7])/2 + 
       (79*d[8])/2 - (77*d[9])/2 + 21*d[10] - 32*d[11] + 5*d[12] + 8*d[13] - 
       12*d[14] + (61*d[15])/3 - 42*d[16] + 20*d[17] + 14*d[18] - 
       (31*d[19])/3 - (65*d[20])/4 - (70*d[21])/3 - (61*d[22])/3 + 
       (25*d[23])/6 + (47*d[24])/12 + 2*d[26] + 10*d[33] - 10*d[34] - 
       6*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + (2*d[1] + 2*d[2] - (15*d[6])/2 - 2*d[9] - d[10]/2 - 
       (3*d[11])/2 + 19*d[12] - 8*d[13] + 10*d[14] + d[15] - 6*d[16] - 
       d[17]/2 - (15*d[18])/2 - 2*d[19] - (109*d[20])/4 - 2*d[22] - 
       (17*d[23])/2 + (27*d[24])/4 - d[26]/2)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + (2*d[3] - 2*d[4] - 2*d[5] + d[6] + 
       4*d[9] - (3*d[10])/2 + (7*d[11])/2 - 2*d[15] + 5*d[16] + 7*d[17] - 
       13*d[18] + d[19]/2 + 2*d[21] + d[22]/2 + (39*d[24])/2 - 2*d[31] - 
       d[32] + 2*d[34])*HPL[{0, 1}, 1 - u]^2*\[Zeta][2] + 
     (2*d[4] + (16*d[6])/3 - 12*d[12] + 8*d[13] - 8*d[14] - (2*d[15])/3 + 
       8*d[16] + 2*d[17] + 8*d[18] + (2*d[19])/3 + (117*d[20])/4 - 
       (4*d[21])/3 + (8*d[22])/3 + (43*d[23])/6 - (13*d[24])/12)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((-2*d[3])/3 + 2*d[4] - (52*d[5])/3 + d[6]/2 - (11*d[7])/6 + 
       (265*d[8])/6 - (75*d[9])/2 + 19*d[10] - 21*d[11] + 17*d[12] - 
       (2*d[13])/3 - (8*d[14])/3 + 6*d[15] - (187*d[16])/3 + (19*d[17])/6 + 
       (61*d[18])/3 + 6*d[19] - (221*d[20])/12 - (14*d[21])/3 - 
       (22*d[22])/3 - (41*d[23])/3 - (985*d[24])/12 + (8*d[26])/3 + 
       (10*d[27])/3 + (4*d[31])/3 + (2*d[32])/3 + (34*d[33])/3 - 
       (38*d[34])/3 - 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + ((-55*d[3])/6 + (21*d[4])/2 - 
       (31*d[5])/12 - d[6]/12 - (161*d[7])/24 - (149*d[8])/24 + (9*d[9])/8 + 
       2*d[10] - (21*d[11])/4 - (5*d[12])/4 + (10*d[13])/3 + (10*d[14])/3 + 
       (17*d[15])/12 - (139*d[16])/12 + (59*d[17])/12 - (113*d[18])/12 + 
       (37*d[19])/12 - (395*d[20])/48 - (29*d[21])/6 + (17*d[22])/4 - 
       (47*d[23])/24 - (231*d[24])/16 + (5*d[26])/12 + d[27]/3 + 
       (10*d[31])/3 + (5*d[32])/3 - (7*d[33])/6 - (13*d[34])/6 + 
       (35*d[36])/2)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (-2*d[4] - 2*d[6] + 24*d[12] - 16*d[13] + 18*d[14] + 2*d[15] - 
       16*d[16] - 8*d[18] - 2*d[19] - 50*d[20] - 4*d[22] - 18*d[23] - 
       8*d[24])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + (-2*d[2] - (32*d[3])/3 + 12*d[4] + (38*d[5])/3 - 
       (19*d[6])/6 + d[7]/6 - (191*d[8])/6 + (45*d[9])/2 - 13*d[10] - d[11] - 
       15*d[12] + (10*d[13])/3 + (28*d[14])/3 + (82*d[15])/3 + 
       (122*d[16])/3 + (49*d[17])/6 - (77*d[18])/3 - (94*d[19])/3 - 
       (233*d[20])/12 - 36*d[21] - (62*d[22])/3 + 26*d[23] + 
       (1207*d[24])/12 - (4*d[26])/3 - (14*d[27])/3 + (10*d[31])/3 + 
       (5*d[32])/3 - (32*d[33])/3 + (22*d[34])/3 + 22*d[36])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((-10*d[6])/3 - 12*d[12] + 8*d[13] - 10*d[14] - (4*d[15])/3 + 8*d[16] - 
       2*d[17] + (4*d[19])/3 + (83*d[20])/4 + (4*d[21])/3 + (4*d[22])/3 + 
       (65*d[23])/6 + (109*d[24])/12)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + (-4*d[15] + 4*d[19] + (5*d[20])/2 + 4*d[21] + 4*d[22] - 
       3*d[23] - (15*d[24])/2)*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + (2*d[3] - 3*d[4] - d[6] + d[10]/2 + (17*d[11])/2 + 
       7*d[12] - 8*d[13] + 8*d[14] - d[15]/2 - 9*d[16] - d[17]/2 + 
       (9*d[18])/2 - d[19]/2 - (53*d[20])/4 - (3*d[22])/2 - (5*d[23])/2 + 
       d[24]/4 - 2*d[31] + d[32] + 2*d[34])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + (-10*d[3] + 10*d[4] + 9*d[5] + 
       (23*d[6])/3 + d[7]/2 - (23*d[8])/2 + (9*d[9])/2 - 23*d[10] + 6*d[11] - 
       13*d[12] + 10*d[13] + 2*d[14] - (34*d[15])/3 + 29*d[16] + 4*d[17] - 
       10*d[18] + (22*d[19])/3 + (55*d[20])/4 + (28*d[21])/3 + (40*d[22])/3 + 
       (29*d[23])/6 - (89*d[24])/12 - d[26] - 2*d[27] + 4*d[31] + 2*d[32] - 
       6*d[33] + 2*d[34] + 18*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + ((8*d[3])/3 - (53*d[5])/3 - 
       (8*d[6])/3 - d[7]/6 + (119*d[8])/6 - (43*d[9])/2 + 18*d[10] - 
       27*d[11] + 7*d[12] + (2*d[13])/3 - (10*d[14])/3 + (52*d[15])/3 - 
       (104*d[16])/3 + (34*d[17])/3 + (32*d[18])/3 - (34*d[19])/3 - 
       (265*d[20])/12 - (62*d[21])/3 - 22*d[22] - (73*d[23])/6 - 
       (29*d[24])/4 + (10*d[26])/3 + (2*d[27])/3 + (2*d[31])/3 + d[32]/3 + 
       (32*d[33])/3 - (34*d[34])/3 - 10*d[36])*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + (-2*d[2] + 2*d[3] + (7*d[6])/3 + 
       6*d[9] - d[10] + 5*d[11] - (13*d[12])/2 + 8*d[13] - 6*d[14] + 
       (34*d[15])/3 + 8*d[16] + (11*d[17])/2 - 2*d[18] - (25*d[19])/3 + 
       (9*d[20])/2 - (40*d[21])/3 - (19*d[22])/3 + d[23]/6 + (7*d[24])/6 + 
       3*d[26] - 2*d[32] + 2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + (-2*d[2] - (25*d[3])/6 + 5*d[4] - 
       (49*d[5])/12 - 11*d[6] + (31*d[7])/24 + (103*d[8])/24 - (67*d[9])/8 + 
       (5*d[10])/2 - (23*d[11])/2 + (33*d[12])/4 - (14*d[13])/3 + 
       (53*d[14])/6 + (35*d[15])/4 - (169*d[16])/12 + (5*d[17])/12 + 
       d[18]/12 - (29*d[19])/4 - (965*d[20])/48 - (55*d[21])/6 - 
       (133*d[22])/12 + (23*d[23])/24 - (31*d[24])/48 + (2*d[26])/3 - 
       d[27]/6 + (10*d[31])/3 + (5*d[32])/3 + (23*d[33])/6 - (43*d[34])/6 + 
       (5*d[36])/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + (2*d[2] - (10*d[6])/3 - d[12]/2 - 2*d[14] - (29*d[15])/6 - 
       6*d[17] - (7*d[18])/2 + (13*d[19])/3 + (25*d[20])/4 + (13*d[21])/3 + 
       (13*d[22])/3 + (16*d[23])/3 - (41*d[24])/12)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + (2*d[5] - 3*d[6] + 4*d[9] - d[10] + 
       6*d[14] + 7*d[15] - 2*d[16] + d[17] - d[18] - 7*d[19] - (17*d[20])/2 - 
       6*d[21] - 7*d[22] + 3*d[23] + d[24]/2 + d[26] + 2*d[31] - d[32])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (4*d[15] - 4*d[19] - (5*d[20])/2 - 4*d[21] - 4*d[22] + 3*d[23] + 
       (15*d[24])/2)*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (3*d[3] - 3*d[4] + d[5] + 2*d[6] + 3*d[9] - d[10]/2 + d[11]/2 - 
       6*d[14] - 5*d[15] + (3*d[16])/2 - 9*d[17] + 15*d[18] + 4*d[19] + 
       (17*d[20])/2 + 5*d[21] + 4*d[22] - 3*d[23] - 2*d[31] - 2*d[32] + 
       3*d[34])*HPL[{0, 1}, 1 - w]^2*\[Zeta][2] + 
     (-4*d[2] + 4*d[3] - 4*d[4] + 8*d[5] - (19*d[6])/2 + 2*d[10] + 5*d[12] + 
       8*d[14] + (11*d[15])/2 - 8*d[16] - (31*d[17])/2 + 23*d[18] - 
       (11*d[19])/2 - 11*d[20] - (11*d[21])/2 - (11*d[22])/2 - 3*d[23] - 
       10*d[24] - 12*d[36])*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      \[Zeta][2] + (-4*d[2] - 3*d[3] + d[4] + (21*d[5])/4 + (7*d[6])/2 + 
       (25*d[7])/8 - (33*d[8])/8 + (17*d[9])/8 + 2*d[10] + (9*d[11])/2 - 
       (15*d[12])/4 + (7*d[13])/2 + 6*d[14] - (7*d[15])/2 + (35*d[16])/4 - 
       3*d[17] - (5*d[18])/2 - (9*d[19])/4 + (49*d[20])/16 + 12*d[21] - 
       (15*d[22])/4 + (81*d[23])/8 - (213*d[24])/16 - d[26] + (3*d[27])/4 + 
       (7*d[31])/2 + (7*d[32])/4 + (3*d[33])/2 - 5*d[34] - (3*d[36])/2)*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (2*d[1] + 4*d[2] - 4*d[3] + 4*d[4] - 4*d[5] + (19*d[6])/2 - 4*d[9] - 
       2*d[10] - 5*d[12] - 8*d[14] - (9*d[15])/2 + 5*d[16] + (17*d[17])/2 - 
       14*d[18] + (7*d[19])/2 + 11*d[20] + (7*d[21])/2 + (7*d[22])/2 + 
       3*d[23] + 5*d[24] + 12*d[36])*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
      \[Zeta][2] + (-4*d[2] + 2*d[4] - (7*d[6])/2 + 2*d[14] - 8*d[15] - 
       (7*d[17])/2 + 7*d[18] + 8*d[19] - 4*d[20] + 6*d[21] + 10*d[22] - 
       (19*d[23])/2 - (41*d[24])/2)*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      \[Zeta][2] + (-2*d[2] + (19*d[3])/2 - (23*d[4])/2 - (29*d[5])/4 + 
       (17*d[6])/4 + (45*d[7])/8 - (95*d[8])/8 - (63*d[9])/8 - 8*d[10] - 
       (13*d[11])/4 - (13*d[12])/4 - 4*d[13] + 2*d[14] - (9*d[15])/4 + 
       (79*d[16])/4 - (31*d[17])/4 + (13*d[18])/4 - (29*d[19])/4 + 
       (151*d[20])/16 + (17*d[21])/2 - (59*d[22])/4 - (53*d[23])/8 + 
       (9*d[24])/16 + (3*d[26])/4 + d[27] - 2*d[31] - d[32] + (11*d[33])/2 - 
       (7*d[34])/2 - (45*d[36])/2)*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      \[Zeta][2] + (4*d[2] - 2*d[4] + (7*d[6])/2 - 2*d[14] + 8*d[15] + 
       (7*d[17])/2 - 7*d[18] - 8*d[19] + 4*d[20] - 6*d[21] - 10*d[22] + 
       (19*d[23])/2 + (41*d[24])/2)*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      \[Zeta][2] + (4*d[4] + 3*d[6] - 4*d[9] + 4*d[11] - d[12]/2 - 10*d[14] - 
       10*d[15] - 3*d[16] - (17*d[17])/2 + 14*d[18] + 12*d[19] + 
       (11*d[20])/2 + 4*d[21] + 16*d[22] - (9*d[23])/2 - (25*d[24])/2 + 
       d[26] - 4*d[31] + 4*d[34] + 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + ((3*d[3])/2 - 2*d[4] - (11*d[5])/4 - 
       d[6] - (35*d[7])/8 - (155*d[8])/8 + (37*d[9])/8 + (5*d[10])/2 - 
       (3*d[11])/2 + d[12]/4 - 4*d[13] + (7*d[14])/2 - (29*d[15])/4 + 
       (37*d[16])/4 - (37*d[17])/4 + (39*d[18])/4 + (19*d[19])/4 + 
       (169*d[20])/16 + (11*d[21])/2 + (17*d[22])/4 - (3*d[23])/8 + 
       (267*d[24])/16 + (9*d[27])/2 - 4*d[31] - (7*d[33])/2 + (15*d[34])/2 - 
       (3*d[36])/2)*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     (-4*d[4] - 4*d[6] + d[12]/2 + 10*d[14] + 10*d[15] + 2*d[16] + 
       (27*d[17])/2 - 21*d[18] - 12*d[19] - (11*d[20])/2 - 6*d[21] - 
       16*d[22] + (9*d[23])/2 + (19*d[24])/2 + 2*d[32] - 4*d[34] - 12*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     (-4*d[4] - (2*d[6])/3 - (14*d[15])/3 - 16*d[17] + 20*d[18] + 
       (2*d[19])/3 + (3*d[20])/2 - (28*d[21])/3 - (10*d[22])/3 + 
       (5*d[23])/3 + (109*d[24])/6)*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][2] + ((-2*d[3])/3 + 2*d[4] - d[5]/3 - (28*d[6])/3 + 
       (25*d[7])/6 + (25*d[8])/6 + (11*d[9])/2 + 12*d[10] - 4*d[11] - d[12] - 
       (2*d[13])/3 - (8*d[14])/3 + (50*d[15])/3 - (7*d[16])/3 + 
       (44*d[17])/3 + (4*d[18])/3 - (59*d[19])/3 - (377*d[20])/12 - 
       (70*d[21])/3 - 13*d[22] + (31*d[23])/6 + (291*d[24])/4 - (4*d[26])/3 - 
       (2*d[27])/3 - (2*d[31])/3 - d[32]/3 + (10*d[33])/3 - (8*d[34])/3 - 
       2*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + 
     (4*d[3] + (8*d[6])/3 - 12*d[9] + 2*d[11] + (14*d[15])/3 + 8*d[16] + 
       14*d[17] - 14*d[18] - (8*d[19])/3 - (3*d[20])/2 + (4*d[21])/3 + 
       (4*d[22])/3 - (5*d[23])/3 - (121*d[24])/6 + 2*d[26] + 4*d[32] + 
       4*d[34])*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + 
     ((-2*d[6])/3 - 6*d[12] + 4*d[13] - 4*d[14] + (4*d[15])/3 + 4*d[16] + 
       2*d[17] - 8*d[18] - (4*d[19])/3 + (11*d[20])/2 - (4*d[21])/3 - 
       (4*d[22])/3 + (23*d[23])/3 + (61*d[24])/6)*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     ((40*d[3])/3 - 12*d[4] - (19*d[5])/3 - (10*d[6])/3 + (79*d[7])/6 + 
       (139*d[8])/6 - (35*d[9])/2 - 10*d[11] + 7*d[12] - (14*d[13])/3 - 
       (8*d[14])/3 + (14*d[15])/3 + (11*d[16])/3 - (10*d[17])/3 + 
       (64*d[18])/3 - (29*d[19])/3 + d[20]/12 - (10*d[21])/3 - 17*d[22] + 
       (13*d[23])/6 + (53*d[24])/4 + (2*d[26])/3 - (8*d[27])/3 - 
       (14*d[31])/3 - (7*d[32])/3 + (22*d[33])/3 - (8*d[34])/3 - 26*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     ((2*d[6])/3 + 6*d[12] - 4*d[13] + 4*d[14] - (4*d[15])/3 - 4*d[16] - 
       2*d[17] + 8*d[18] + (4*d[19])/3 - (11*d[20])/2 + (4*d[21])/3 + 
       (4*d[22])/3 - (23*d[23])/3 - (61*d[24])/6)*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     (4*d[2] - 4*d[3] + 4*d[4] - (20*d[6])/3 - 12*d[9] - 2*d[10] - 4*d[11] + 
       2*d[12] - 4*d[14] - (26*d[15])/3 + 10*d[16] - 22*d[17] + 22*d[18] + 
       (8*d[19])/3 + (43*d[20])/2 - (4*d[21])/3 + (8*d[22])/3 + 
       (35*d[23])/3 + (145*d[24])/6 - 4*d[26] + 8*d[32] - 4*d[34])*
      HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     ((16*d[3])/3 - 4*d[4] - (13*d[5])/3 + (14*d[6])/3 - (41*d[7])/6 + 
       (103*d[8])/6 - (31*d[9])/2 - 12*d[10] + 6*d[11] + 7*d[12] + 
       (4*d[13])/3 - (38*d[14])/3 - (34*d[15])/3 - d[16]/3 + (2*d[17])/3 - 
       (20*d[18])/3 + (31*d[19])/3 + (151*d[20])/12 + (26*d[21])/3 + 
       11*d[22] - (29*d[23])/6 - (153*d[24])/4 + (2*d[26])/3 - (2*d[27])/3 - 
       (14*d[31])/3 - (7*d[32])/3 - (2*d[33])/3 + (16*d[34])/3 - 2*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (-4*d[2] + (20*d[6])/3 - 2*d[12] + 4*d[14] + (20*d[15])/3 + 24*d[17] - 
       28*d[18] - (20*d[19])/3 - (43*d[20])/2 - (20*d[21])/3 - (20*d[22])/3 - 
       (35*d[23])/3 - (109*d[24])/6)*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      \[Zeta][2] + (10*d[5] - 6*d[11] - 16*d[16] - 16*d[24])*
      HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (-6*d[3] + 8*d[4] - 6*d[9] - 22*d[11] - 3*d[16] - 8*d[19] - 10*d[21] - 
       6*d[22] - 5*d[24] - 6*d[34])*HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][2] + 
     (-8*d[5] - 4*d[9] + 2*d[10] - 2*d[11] + 6*d[16] - 4*d[17] + 4*d[18] + 
       2*d[19] + 2*d[22] - 4*d[24])*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2] + 
     (-4*d[3] + 4*d[4] - 4*d[5] + 4*d[9] + 8*d[11] + 4*d[16] + 8*d[17] - 
       8*d[18] - 4*d[24] + 8*d[31] + 2*d[32] - 4*d[34])*
      HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (-2*d[4] + 27*d[6] + 3*d[10] + 3*d[11] + 21*d[15] - 6*d[16] + 66*d[17] - 
       90*d[18] - 13*d[19] + 42*d[21] - 15*d[22] - 15*d[24] - 9*d[26])*
      HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2] + 
     (-2*d[1] - 21*d[6] + 3*d[10] + 3*d[11] - 27*d[15] - 6*d[16] - 66*d[17] + 
       90*d[18] + 30*d[19] + 42*d[21] + 30*d[22] + 30*d[24] - 3*d[26])*
      HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2] + 
     ((-16*d[2])/5 - (48*d[6])/5 + (28*d[12])/5 - (24*d[17])/5 - 
       (24*d[18])/5 - (48*d[20])/5 - (24*d[23])/5 + (24*d[24])/5)*
      HPL[{1}, 1 - u]^2*\[Zeta][2]^2 + ((-24*d[4])/5 + (48*d[5])/5 - 
       (12*d[6])/5 - (18*d[7])/5 - (42*d[8])/5 + (114*d[9])/5 + 
       (72*d[10])/5 + (144*d[11])/5 - (36*d[12])/5 - (24*d[14])/5 - 
       (72*d[15])/5 - (48*d[16])/5 - (48*d[17])/5 - (96*d[18])/5 + 
       (72*d[19])/5 + 15*d[20] + (144*d[21])/5 + (72*d[22])/5 + (6*d[23])/5 - 
       (51*d[24])/5 - (12*d[26])/5 + (24*d[27])/5)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*\[Zeta][2]^2 + ((72*d[3])/5 - (96*d[4])/5 + 
       (24*d[5])/5 + 6*d[7] - (78*d[8])/5 + (42*d[9])/5 - (72*d[10])/5 + 
       (84*d[11])/5 + (36*d[12])/5 - (24*d[13])/5 - (24*d[14])/5 - 12*d[15] + 
       (192*d[16])/5 - (84*d[17])/5 + (132*d[18])/5 + (117*d[20])/5 + 
       (96*d[21])/5 + (66*d[23])/5 + (231*d[24])/5 + (12*d[27])/5 - 
       (24*d[31])/5 - (12*d[32])/5 + (24*d[34])/5 - (144*d[36])/5)*
      HPL[{1}, 1 - v]^2*\[Zeta][2]^2 + ((32*d[2])/5 + (24*d[6])/5 + 
       (16*d[12])/5 - (24*d[15])/5 + (24*d[19])/5 + (24*d[21])/5 + 
       (24*d[22])/5 + (24*d[23])/5)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      \[Zeta][2]^2 + ((24*d[3])/5 - (24*d[4])/5 + (48*d[5])/5 + 12*d[6] - 
       (18*d[7])/5 - (102*d[8])/5 + (114*d[9])/5 + (96*d[11])/5 - 
       (36*d[12])/5 - (24*d[13])/5 - (36*d[15])/5 + 24*d[16] - (36*d[17])/5 - 
       (12*d[18])/5 + (24*d[19])/5 + (147*d[20])/5 + (24*d[21])/5 + 
       (72*d[22])/5 + 6*d[23] + (117*d[24])/5 - (12*d[26])/5 - (12*d[27])/5 - 
       (24*d[31])/5 - (12*d[32])/5 - (48*d[33])/5 + (72*d[34])/5)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2]^2 + 
     ((-8*d[1])/5 - (16*d[2])/5 + (24*d[6])/5 - (44*d[12])/5 + (24*d[15])/5 + 
       (24*d[17])/5 + (24*d[18])/5 - (24*d[19])/5 + (48*d[20])/5 - 
       (24*d[21])/5 - (24*d[22])/5 - (24*d[24])/5 - (2*d[25])/5)*
      HPL[{1}, 1 - w]^2*\[Zeta][2]^2 + ((-16*d[4])/5 - 4*d[5] + 4*d[11] + 
       4*d[16] + (16*d[19])/5 + (4*d[29])/5)*HPL[{0, 1}, 1 - u]*
      \[Zeta][2]^2 + ((-16*d[1])/5 + (16*d[4])/5 + 4*d[5] + 4*d[11] - 
       4*d[16] - (16*d[19])/5 - (4*d[25])/5 - (4*d[29])/5)*HPL[{0, 1}, 1 - w]*
      \[Zeta][2]^2 + ((5*d[4])/3 + (14*d[6])/3 - 3*d[12] - (5*d[15])/3 - 
       (11*d[17])/3 + 7*d[18] + 2*d[19] + (9*d[20])/2 + (11*d[22])/3 - 
       (5*d[23])/3 - (79*d[24])/6)*HPL[{1}, 1 - u]^3*\[Zeta][3] + 
     ((8*d[3])/3 - 3*d[4] - (25*d[5])/6 - (5*d[6])/3 + (5*d[7])/6 - 
       (31*d[8])/6 - 6*d[9] - 7*d[10] - 12*d[11] - d[12] - (4*d[13])/3 + 
       (8*d[14])/3 - (2*d[15])/3 + (40*d[16])/3 - (2*d[17])/3 + 
       (32*d[18])/3 - (4*d[19])/3 - (11*d[20])/24 - (14*d[21])/3 - 3*d[22] + 
       (37*d[23])/12 + (131*d[24])/8 + (4*d[26])/3 - (7*d[27])/3 - 
       (4*d[31])/3 - (2*d[32])/3 - (4*d[33])/3 + (8*d[34])/3 - 4*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][3] + 
     (-4*d[3] + 8*d[4] + 2*d[5] - d[6]/3 - (5*d[7])/2 + (9*d[8])/2 + 
       (5*d[9])/2 + d[10] - 3*d[11] + 2*d[12] + d[13] + 3*d[14] + 
       (17*d[15])/3 - 2*d[16] + 5*d[17] - 7*d[18] - (8*d[19])/3 - 
       (35*d[20])/4 - (44*d[21])/3 + (4*d[22])/3 - (31*d[23])/6 - 
       (143*d[24])/12 - 5*d[27] + 2*d[31] + d[32] - 2*d[33] + 6*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][3] + 
     ((-28*d[3])/3 + 11*d[4] + d[5]/3 + d[6]/3 - (71*d[7])/12 + d[8]/12 + 
       (13*d[9])/4 + 8*d[10] - 2*d[11] - 6*d[12] + (8*d[13])/3 + 
       (8*d[14])/3 + (4*d[15])/3 - (109*d[16])/6 + (35*d[17])/6 - 
       (89*d[18])/6 + (31*d[19])/6 - (29*d[20])/6 - (11*d[21])/3 + 
       (15*d[22])/2 - (5*d[23])/3 - (79*d[24])/4 - (2*d[26])/3 - d[27]/3 + 
       (8*d[31])/3 + (4*d[32])/3 - (7*d[33])/3 - d[34]/3 + 20*d[36])*
      HPL[{1}, 1 - v]^3*\[Zeta][3] + (2*d[2] - 4*d[4] - (11*d[6])/3 - 
       (9*d[11])/2 - 5*d[12] - 2*d[14] - (2*d[15])/3 + 5*d[17] - 7*d[18] + 
       (2*d[19])/3 + (3*d[20])/2 + (11*d[21])/3 - (10*d[22])/3 + 
       (23*d[23])/3 + (97*d[24])/6 + d[26] - (3*d[32])/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*\[Zeta][3] + (-4*d[3] + 6*d[4] + 3*d[5] - 5*d[6] - 
       (3*d[7])/2 + (9*d[8])/2 - (3*d[9])/2 - 2*d[10] - 4*d[11] + 11*d[12] + 
       4*d[13] - 4*d[14] + d[15] + d[16] + 2*d[17] + 12*d[18] + 2*d[19] - 
       (19*d[20])/4 - 8*d[21] + 6*d[22] + (13*d[23])/2 + (43*d[24])/4 + 
       d[26] + 2*d[31] + d[32] - 2*d[33] + 6*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (2*d[2] - 4*d[3] + 4*d[4] - 2*d[5] - (11*d[6])/3 - (13*d[7])/2 + 
       (19*d[8])/2 + d[9]/2 + 15*d[10] - 6*d[12] + 5*d[13] - 5*d[14] + 
       (16*d[15])/3 - 30*d[16] + 5*d[17] - 11*d[18] + (5*d[19])/3 - 
       (29*d[20])/4 - (10*d[21])/3 - d[22]/3 - (5*d[23])/6 - (217*d[24])/12 + 
       2*d[27] + 2*d[31] + d[32] + 2*d[33] - 4*d[34] + 6*d[36])*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (-4*d[2] + 2*d[4] - (7*d[6])/3 + 3*d[9] + (3*d[11])/2 + 13*d[12] + 
       4*d[14] + (17*d[15])/3 - (3*d[16])/2 + 2*d[17] + 4*d[18] - 
       (17*d[19])/3 - 8*d[20] - (14*d[21])/3 - (11*d[22])/3 - (38*d[23])/3 - 
       (25*d[24])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     (-d[2] - (4*d[3])/3 - (19*d[5])/6 - (13*d[6])/6 + (19*d[7])/12 + 
       (73*d[8])/12 - (31*d[9])/4 - (5*d[11])/2 + 7*d[12] - d[13]/3 + 
       (11*d[14])/3 + (10*d[15])/3 - (61*d[16])/6 - d[17]/6 + (31*d[18])/6 - 
       (23*d[19])/6 - (287*d[20])/24 + (4*d[21])/3 - (19*d[22])/2 - 
       (23*d[23])/12 - (123*d[24])/8 + (5*d[26])/6 + (13*d[27])/6 + 
       (8*d[31])/3 + (4*d[32])/3 + (17*d[33])/3 - (25*d[34])/3 - 4*d[36])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     (d[1]/3 + 2*d[2] + (2*d[6])/3 - 5*d[12] - 2*d[14] - (8*d[15])/3 - 
       (10*d[17])/3 - 4*d[18] + (8*d[19])/3 + 2*d[20] + (8*d[21])/3 + 
       (8*d[22])/3 + (20*d[23])/3 - d[24]/3)*HPL[{1}, 1 - w]^3*\[Zeta][3] + 
     (2*d[3] - 2*d[4] + 4*d[5] + (26*d[6])/3 + d[10] - 4*d[12] + 10*d[14] + 
       (8*d[15])/3 - 3*d[16] + 10*d[17] - 6*d[18] - (17*d[19])/3 - 6*d[20] - 
       (2*d[21])/3 - (17*d[22])/3 + (4*d[23])/3 - (8*d[24])/3 + d[32] - 
       2*d[34] - 12*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     (-2*d[2] - (4*d[3])/3 + 10*d[4] - (8*d[5])/3 - (38*d[6])/3 + 
       (41*d[7])/6 - (7*d[8])/6 - (27*d[9])/2 - 13*d[10] - 27*d[11] + 
       15*d[12] - (4*d[13])/3 + (32*d[14])/3 + (4*d[15])/3 + (100*d[16])/3 + 
       (7*d[17])/3 + (47*d[18])/3 - (13*d[19])/3 - (143*d[20])/6 - 
       (74*d[21])/3 - d[22] + (19*d[23])/3 + 28*d[24] + (7*d[26])/3 - 
       (28*d[27])/3 + (2*d[31])/3 + d[32]/3 - (10*d[33])/3 + (8*d[34])/3 + 
       2*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     (2*d[1] - 4*d[3] + 4*d[4] - 2*d[5] - (26*d[6])/3 - 4*d[9] - d[10] - 
       d[11] + 4*d[12] - 10*d[14] - (2*d[15])/3 + d[16] - 10*d[17] + 
       10*d[18] + (11*d[19])/3 + 6*d[20] + (2*d[21])/3 + (11*d[22])/3 - 
       (4*d[23])/3 - (40*d[24])/3 - 2*d[26] + 2*d[31] + d[32] + 12*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     (-2*d[2] - 2*d[4] + (26*d[6])/3 - 2*d[12] - 2*d[14] + (38*d[15])/3 + 
       4*d[17] + 6*d[18] - (38*d[19])/3 + 5*d[20] - (32*d[21])/3 - 
       (44*d[22])/3 + (16*d[23])/3 + (43*d[24])/3)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*\[Zeta][3] + (2*d[2] - (40*d[3])/3 + 20*d[4] - 
       (29*d[5])/3 - (2*d[6])/3 - (32*d[7])/3 + (34*d[8])/3 - 3*d[9] + 
       20*d[10] - 12*d[11] - 15*d[12] + (20*d[13])/3 + (8*d[14])/3 + 
       (28*d[15])/3 - (146*d[16])/3 + (43*d[17])/3 - (103*d[18])/3 + 
       (8*d[19])/3 - (175*d[20])/12 - (44*d[21])/3 + 2*d[22] - (79*d[23])/6 - 
       (237*d[24])/4 - (2*d[26])/3 - (10*d[27])/3 + (14*d[31])/3 + 
       (7*d[32])/3 + (8*d[33])/3 - (22*d[34])/3 + 26*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*\[Zeta][3] + (2*d[2] + 2*d[4] - (26*d[6])/3 + 
       2*d[12] + 2*d[14] - (38*d[15])/3 - 4*d[17] - 6*d[18] + (38*d[19])/3 - 
       5*d[20] + (32*d[21])/3 + (44*d[22])/3 - (16*d[23])/3 - (43*d[24])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][3] + 
     (-2*d[3] + 6*d[4] + 2*d[5] + (8*d[6])/3 - 4*d[9] + 2*d[11] - 8*d[12] + 
       4*d[13] + (26*d[15])/3 - d[16] + 9*d[17] - 9*d[18] - (17*d[19])/3 + 
       (11*d[20])/2 - (20*d[21])/3 - (5*d[22])/3 + (13*d[23])/3 + 
       (17*d[24])/6 + d[32] + 2*d[34] + 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*\[Zeta][3] + ((-16*d[3])/3 + 2*d[4] - (32*d[5])/3 - 
       (5*d[6])/3 - (5*d[7])/3 + (58*d[8])/3 - 21*d[9] + 13*d[10] - 
       13*d[11] + 15*d[12] + (14*d[13])/3 - (10*d[14])/3 + (28*d[15])/3 - 
       (119*d[16])/3 + (19*d[17])/3 + (65*d[18])/3 - (10*d[19])/3 - 
       (83*d[20])/6 - (2*d[21])/3 - 16*d[22] + (13*d[23])/3 - (49*d[24])/2 + 
       (7*d[26])/3 + (23*d[27])/3 + (14*d[31])/3 + (7*d[32])/3 + 
       (32*d[33])/3 - (46*d[34])/3 + 2*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*\[Zeta][3] + (2*d[3] - 6*d[4] - (14*d[6])/3 + 
       d[10] + 8*d[12] - 4*d[13] - (26*d[15])/3 - 3*d[16] - 8*d[17] + 
       4*d[18] + (17*d[19])/3 - (11*d[20])/2 + (20*d[21])/3 + (5*d[22])/3 - 
       (13*d[23])/3 - (53*d[24])/6 + d[32] - 2*d[34] - 12*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][3] + 
     (-2*d[1] + 10*d[5] - 8*d[9] + 4*d[10] - 10*d[11] - 16*d[16] + 4*d[19] + 
       4*d[22] - 20*d[24])*HPL[{0, 0, 1}, 1 - u]*\[Zeta][3] + 
     (-6*d[3] + 8*d[4] - 6*d[9] - 14*d[11] - 3*d[16] - 8*d[19] - 10*d[21] - 
       6*d[22] - 13*d[24] + 4*d[32] - 6*d[34])*HPL[{0, 0, 1}, 1 - w]*
      \[Zeta][3] + (6*d[3] - 6*d[4] - 8*d[5] - 4*d[6] + 10*d[9] - 3*d[10] + 
       6*d[11] - 4*d[14] - 6*d[15] + 16*d[16] - 5*d[17] + 5*d[18] + 4*d[19] + 
       4*d[20] - 6*d[21] + 4*d[22] + 30*d[24] + 4*d[26] - 4*d[31] - 4*d[32] + 
       6*d[34])*HPL[{0, 1, 1}, 1 - u]*\[Zeta][3] + 
     (6*d[3] - 6*d[4] + 6*d[6] + 12*d[9] - 2*d[10] + 9*d[11] + 4*d[14] + 
       4*d[15] + 7*d[16] + 2*d[17] - 2*d[18] - 4*d[19] - 4*d[20] - 4*d[22] + 
       21*d[24] + 2*d[26] - 2*d[31] - 4*d[32] + 6*d[34])*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][3] + (-4*d[3] + 4*d[4] - 16*d[5] - 
       20*d[6] - 2*d[10] - 4*d[14] - 20*d[15] + 18*d[16] + 4*d[17] - 
       56*d[18] + 14*d[19] + 4*d[20] + 24*d[21] + 14*d[22] + 24*d[24] - 
       2*d[25] + 2*d[29] + 2*d[32] - 4*d[34])*HPL[{1}, 1 - u]*\[Zeta][2]*
      \[Zeta][3] + (4*d[3] - 4*d[4] + 16*d[5] + 20*d[6] + 2*d[10] + 4*d[14] + 
       20*d[15] - 18*d[16] - 4*d[17] + 56*d[18] - 14*d[19] - 4*d[20] - 
       24*d[21] - 14*d[22] - 24*d[24] + 2*d[25] - 2*d[29] - 2*d[32] + 
       4*d[34])*HPL[{1}, 1 - w]*\[Zeta][2]*\[Zeta][3] + 
     (-8*d[1] - 2*d[3] - 6*d[4] + 16*d[5] + 60*d[6] - d[10] + 60*d[15] - 
       15*d[16] + 60*d[17] + 40*d[18] - 47*d[19] - 54*d[21] - 55*d[22] - 
       60*d[24] + d[25] - d[29] + d[32] - 2*d[34])*HPL[{1}, 1 - u]*
      \[Zeta][5] + (8*d[1] + 2*d[3] + 6*d[4] - 16*d[5] - 60*d[6] + d[10] - 
       60*d[15] + 15*d[16] - 60*d[17] - 40*d[18] + 47*d[19] + 54*d[21] + 
       55*d[22] + 60*d[24] - d[25] + d[29] - d[32] + 2*d[34])*HPL[{1}, 1 - w]*
      \[Zeta][5]
 

DuvwCoproductEntries[v] = (-d[4]/12 + d[5]/24 + (13*d[6])/96 - (5*d[7])/48 - 
       (5*d[8])/48 + d[9]/16 - (3*d[10])/8 + d[11]/4 + (3*d[12])/16 - 
       (5*d[15])/48 - d[16]/12 + (3*d[17])/8 - (7*d[18])/8 + (5*d[19])/48 + 
       (5*d[20])/24 + (11*d[21])/48 + (5*d[22])/48 - (7*d[24])/192 + 
       d[27]/12)*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2 + 
     (-d[4]/6 + d[5]/12 - (5*d[6])/48 - (21*d[7])/32 - (21*d[8])/32 + 
       (55*d[9])/96 + (11*d[10])/24 + (29*d[11])/48 + (11*d[12])/48 - 
       d[14]/4 - (19*d[15])/48 - d[16]/6 + d[17]/4 - (5*d[18])/4 + 
       (19*d[19])/48 + (5*d[20])/16 + (31*d[21])/48 + (19*d[22])/48 + 
       (7*d[23])/48 - (13*d[24])/64 + d[27]/6)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]^3 + ((-17*d[7])/24 - (17*d[8])/24 + (17*d[9])/24 + 
       (5*d[10])/12 - (5*d[11])/12 - (5*d[12])/12 + d[14]/8 + (71*d[20])/48 + 
       (23*d[23])/48 + (5*d[24])/24)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4 + 
     ((-23*d[6])/24 + (2*d[10])/3 - d[11]/6 + d[12]/6 + (13*d[15])/4 - 
       (19*d[17])/12 + (9*d[18])/4 - (13*d[19])/4 - (71*d[20])/24 - 
       (43*d[21])/12 - (37*d[22])/12 + (15*d[23])/4 + (205*d[24])/24)*
      HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     (d[4]/6 - (11*d[5])/24 + d[6]/24 + d[7]/32 + (47*d[8])/96 - 
       (23*d[9])/96 - (3*d[10])/4 - (19*d[11])/48 - (95*d[12])/96 - 
       (5*d[13])/12 + (3*d[14])/4 - (3*d[15])/4 - (5*d[16])/6 + d[19] - 
       (49*d[20])/48 + (7*d[21])/12 + (5*d[22])/12 + (23*d[23])/12 + 
       (5*d[24])/16 + d[26]/6 - d[27]/24 + d[33]/4 - d[34]/4)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w] + 
     (d[5]/4 + (283*d[7])/96 + (227*d[8])/96 - (227*d[9])/96 - (7*d[10])/6 - 
       (101*d[11])/48 - (7*d[12])/4 + (17*d[13])/48 - (3*d[14])/2 - 
       (20*d[15])/3 + d[16] + d[17] + (13*d[19])/2 + d[20]/96 + 
       (13*d[21])/2 + (20*d[22])/3 - (379*d[23])/48 - (181*d[24])/12 - 
       d[27]/12 - d[33]/6 + d[34]/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w] + (d[14]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w])/2 + (-d[3]/24 - d[4]/4 + d[5]/8 - (83*d[6])/96 - 
       (3*d[7])/16 - (3*d[8])/16 + d[9]/16 + (7*d[10])/24 + (17*d[11])/24 + 
       (9*d[12])/16 + (19*d[15])/16 - d[16]/4 - (2*d[17])/3 - (19*d[19])/16 - 
       (37*d[20])/24 - (47*d[21])/48 - (53*d[22])/48 + (33*d[23])/16 + 
       (709*d[24])/192 + d[27]/4)*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^2 + 
     (-d[2]/9 - (5*d[3])/9 + d[4]/6 - (7*d[5])/4 + (19*d[6])/72 - 
       (71*d[7])/48 + (73*d[8])/48 - (175*d[9])/144 + (259*d[10])/72 - 
       (9*d[11])/8 - (2*d[12])/3 - (4*d[13])/9 + (2*d[14])/3 + 
       (11*d[15])/18 - (35*d[16])/6 - (13*d[17])/18 + d[18]/6 + d[19]/2 - 
       (71*d[20])/288 - (7*d[21])/36 - (7*d[22])/18 + (367*d[23])/288 - 
       (193*d[24])/36 + (7*d[27])/18 + (10*d[33])/9 - (10*d[34])/9)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2 + 
     (-d[2]/6 - d[3]/6 + d[4]/6 - d[5]/6 - (13*d[6])/16 + (13*d[7])/24 + 
       (19*d[8])/24 - (17*d[9])/24 - (7*d[10])/12 - (3*d[11])/2 - 
       (13*d[12])/48 - (11*d[13])/24 - (5*d[14])/48 + (4*d[15])/3 + 
       (5*d[16])/6 + d[17]/6 - d[18]/3 - (7*d[19])/6 + (3*d[20])/16 - 
       (15*d[21])/4 - (3*d[22])/2 + (9*d[23])/32 - (47*d[24])/16 + 
       (5*d[26])/6 - d[27]/12 + d[33]/6 - d[34]/6)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2 + 
     (-d[4]/6 + d[5]/12 - (5*d[6])/48 + (253*d[7])/96 + (349*d[8])/96 - 
       (119*d[9])/32 - 2*d[10] - (33*d[11])/16 - (83*d[12])/48 - d[13]/6 + 
       (5*d[14])/12 - (7*d[15])/48 - d[16]/6 + (3*d[17])/4 - (3*d[18])/4 + 
       (7*d[19])/48 + (883*d[20])/96 + (19*d[21])/48 + (7*d[22])/48 + 
       (131*d[23])/32 - (443*d[24])/192 + d[27]/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2 + 
     (d[7]/6 + d[8]/6 - d[9]/6 + (5*d[10])/12 - (2*d[11])/3 - (2*d[12])/3 - 
       (3*d[14])/8 + (2*d[20])/3 + d[23]/6 - (2*d[24])/3)*HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w]^2 + ((-2*d[5])/9 + d[6]/288 + d[7]/4 - (2*d[8])/9 + 
       (5*d[9])/18 + d[10]/4 + d[11]/36 - (365*d[12])/288 + (5*d[13])/72 - 
       d[14]/12 - (7*d[15])/9 - d[16]/2 + (7*d[17])/24 - (9*d[18])/8 + 
       (8*d[19])/9 - (13*d[20])/32 + (5*d[21])/6 + (2*d[22])/3 + 
       (191*d[23])/288 + (5*d[24])/144 - d[27]/18 + d[33]/9 - d[34]/9)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^3 + 
     ((-11*d[2])/54 + d[4] - d[5]/4 - d[6]/24 + (61*d[7])/144 + 
       (137*d[8])/144 - (19*d[9])/48 + (17*d[10])/24 - (53*d[11])/24 - 
       (25*d[12])/24 - (7*d[13])/18 - (13*d[14])/36 + (5*d[15])/6 + d[16]/9 + 
       (4*d[17])/9 - (11*d[18])/9 - (2*d[19])/3 + (215*d[20])/96 - 
       (20*d[21])/9 - (17*d[22])/18 + (211*d[23])/288 - (47*d[24])/16 - 
       (37*d[27])/36 + d[33]/6 - d[34]/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3 + (-d[2]/3 + d[4]/4 - (3*d[5])/8 - (5*d[6])/32 - 
       d[7]/32 + (37*d[8])/96 - (25*d[9])/96 - (13*d[10])/24 - 
       (29*d[11])/48 + (13*d[12])/8 - d[13]/6 - (5*d[14])/6 + (13*d[15])/12 - 
       (5*d[16])/12 + (3*d[17])/8 - (11*d[18])/8 - (11*d[19])/12 + 
       (241*d[20])/96 - (43*d[21])/24 - (13*d[22])/12 - (125*d[23])/96 - 
       (229*d[24])/96 + d[26]/6 - d[27]/6 + d[33]/6 - d[34]/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3 + 
     (d[5]/4 - (97*d[7])/96 - (59*d[8])/32 + (59*d[9])/32 - d[10]/8 + 
       (5*d[11])/16 + d[12]/16 - (5*d[13])/16 + (3*d[14])/8 + d[16] - 
       d[19]/6 - (11*d[20])/8 - d[21]/6 - (23*d[23])/32 + (37*d[24])/16 - 
       d[27]/12 - d[33]/6 + d[34]/6)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3 + 
     (d[2]/36 + (5*d[5])/12 + d[7]/8 - (7*d[8])/12 + (7*d[9])/12 - 
       (3*d[10])/4 + (7*d[11])/24 - (17*d[12])/96 - (13*d[13])/48 - 
       (5*d[15])/3 + (3*d[16])/2 + d[17]/4 + (17*d[19])/12 - (23*d[20])/96 + 
       (17*d[21])/12 + (5*d[22])/3 - (91*d[23])/48 - (7*d[24])/3 - d[27]/8 - 
       d[33]/4 + d[34]/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4 + 
     ((7*d[2])/36 - d[7]/4 + (5*d[8])/12 - (5*d[9])/12 + d[11]/6 - d[12]/8 - 
       d[13]/12 - d[14]/24 + d[17]/4 + (95*d[20])/24 + (19*d[23])/12 - 
       (13*d[24])/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4 + 
     (d[5]/8 + (3*d[7])/16 - (29*d[8])/48 + (29*d[9])/48 + d[10]/12 + 
       d[11]/6 + (13*d[12])/96 + (3*d[13])/16 - (3*d[14])/8 + d[16]/2 - 
       d[19]/12 - d[20]/96 - d[21]/12 + d[23]/48 + (5*d[24])/3 - d[27]/24 - 
       d[33]/12 + d[34]/12)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4 + 
     (d[14]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^5)/10 + 
     ((2*d[4])/3 - d[5]/3 + (17*d[6])/48 + (7*d[7])/12 + (7*d[8])/12 - 
       d[9]/4 + d[10]/2 - 2*d[11] - d[12] + (23*d[15])/24 + (2*d[16])/3 - 
       (21*d[17])/8 + (47*d[18])/8 - (23*d[19])/24 - (7*d[20])/24 - 
       (59*d[21])/24 - (17*d[22])/24 - (3*d[23])/8 + (35*d[24])/48 - 
       (2*d[27])/3)*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - u] + 
     (-d[3]/6 + d[6]/24 + (23*d[7])/8 + (23*d[8])/8 - (23*d[9])/8 - 
       (83*d[10])/24 + (23*d[11])/24 + (17*d[12])/12 + d[14]/2 + 
       (11*d[15])/24 + (5*d[16])/4 + (20*d[17])/3 - (29*d[18])/3 - 
       (11*d[19])/24 - (17*d[20])/12 - d[21] - (9*d[22])/8 + (5*d[23])/6 + 
       d[24]/4 + (5*d[26])/8)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u] + (d[3]/2 - (11*d[4])/18 - (91*d[5])/144 + 
       (89*d[6])/144 + (49*d[7])/36 + (799*d[8])/144 - (263*d[9])/48 + 
       (39*d[10])/8 - (77*d[11])/48 - (67*d[12])/24 - (3*d[13])/8 - d[14]/8 - 
       (65*d[15])/36 - (119*d[16])/18 - (13*d[17])/12 + (11*d[18])/12 + 
       (175*d[19])/72 + (2377*d[20])/144 + (529*d[21])/72 + (14*d[22])/9 + 
       (129*d[23])/16 - (1805*d[24])/288 - (5*d[26])/4 + (133*d[27])/144 + 
       (5*d[33])/8 - (5*d[34])/8)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u] + (-d[4]/3 + d[5]/6 - (5*d[6])/24 - (821*d[7])/144 - 
       (1253*d[8])/144 + (1229*d[9])/144 + (145*d[10])/36 + (295*d[11])/72 + 
       (115*d[12])/72 + d[13]/4 + (5*d[14])/12 - (19*d[15])/24 - d[16]/3 + 
       (5*d[17])/4 - (5*d[18])/2 + (19*d[19])/24 - (955*d[20])/72 + 
       (31*d[21])/24 + (19*d[22])/24 - (571*d[23])/72 + (2587*d[24])/288 + 
       d[27]/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u] + 
     ((-17*d[7])/12 - (17*d[8])/12 + (17*d[9])/12 + (5*d[10])/6 - 
       (5*d[11])/6 - (5*d[12])/6 + d[14]/4 + (71*d[20])/24 + (23*d[23])/24 + 
       (5*d[24])/12)*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u] + 
     (-d[2]/6 - (4*d[4])/9 - d[5]/4 - (11*d[6])/6 - (10*d[7])/9 + 
       (53*d[8])/36 - (53*d[9])/36 - (19*d[10])/18 - d[11]/36 - 
       (175*d[12])/72 + d[13]/4 - (14*d[15])/9 - d[16] + (77*d[17])/18 - 
       (71*d[18])/9 + (16*d[19])/9 - (145*d[20])/72 + (29*d[21])/9 + 
       (7*d[22])/9 + (23*d[23])/24 - (22*d[24])/3 + d[27]/12 + d[33]/6 - 
       d[34]/6)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (d[2]/6 + (23*d[4])/6 - (19*d[5])/12 + (7*d[6])/4 + (53*d[7])/12 + 
       (29*d[8])/12 - (5*d[9])/6 + (41*d[10])/12 - (155*d[11])/12 - 
       (5*d[12])/3 - d[13]/2 - d[14]/6 + (57*d[15])/4 + (19*d[16])/6 - 
       7*d[17] + (77*d[18])/3 - (57*d[19])/4 + (40*d[20])/3 - (59*d[21])/3 - 
       (163*d[22])/12 + (23*d[23])/4 + (643*d[24])/24 - (19*d[27])/6)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((2*d[2])/3 - d[4] + (19*d[5])/12 - d[6]/4 + (391*d[7])/48 + 
       (985*d[8])/144 - (1057*d[9])/144 - (121*d[10])/18 + (499*d[11])/72 + 
       (323*d[12])/144 + d[13]/3 + (4*d[14])/3 - (5*d[15])/6 + (10*d[16])/3 - 
       d[17] + 3*d[18] + (2*d[19])/9 - (2671*d[20])/72 + (13*d[21])/18 + 
       (5*d[22])/6 - (889*d[23])/72 - (53*d[24])/72 + d[26]/3 + 
       (25*d[27])/36 - (11*d[33])/18 + (11*d[34])/18)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((2*d[5])/3 + (107*d[7])/48 + d[8]/16 - d[9]/16 - 2*d[10] + 
       (9*d[11])/8 + d[12]/2 + (3*d[13])/8 + 2*d[16] - d[19]/3 - 
       (53*d[20])/16 - d[21]/3 - (5*d[23])/8 + (5*d[24])/2 - d[27]/6 - 
       d[33]/3 + d[34]/3)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u] + (d[2]/4 - d[3]/6 - d[4]/2 + d[5]/4 - 
       (65*d[6])/48 - d[7]/12 - (13*d[8])/12 + (5*d[9])/6 - (13*d[10])/8 + 
       (35*d[11])/24 + (73*d[12])/24 - d[13]/4 - d[14]/12 + (8*d[15])/3 + 
       (5*d[16])/12 - (13*d[17])/4 + (21*d[18])/4 - (8*d[19])/3 + 
       (27*d[20])/4 - (29*d[21])/8 - (7*d[22])/3 + (29*d[23])/8 + 
       (757*d[24])/96 + (11*d[26])/24 + d[27]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     ((-2*d[2])/3 + d[4]/3 - (25*d[5])/6 + d[6]/3 - (269*d[7])/24 + 
       (65*d[8])/8 - (175*d[9])/24 + (89*d[10])/12 - (25*d[11])/12 + 
       (19*d[12])/6 + (3*d[13])/2 - (4*d[14])/3 + (41*d[15])/6 - 
       (47*d[16])/3 - 2*d[17] + 2*d[18] - (25*d[19])/6 - (15*d[20])/16 - 
       (14*d[21])/3 - (41*d[22])/6 + (109*d[23])/48 - (517*d[24])/24 + 
       d[27] - d[28]/6 - (2*d[30])/3 + (8*d[33])/3 - (8*d[34])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (d[2] + (11*d[5])/24 + (13*d[7])/12 + (11*d[8])/3 - (7*d[9])/2 + 
       (11*d[10])/12 - (2*d[11])/3 - d[12]/12 + d[13]/6 + d[14]/12 - 
       (71*d[16])/24 - d[17]/24 + d[18]/24 + (3*d[19])/8 - (29*d[20])/12 + 
       d[21]/2 - d[22]/8 - (11*d[23])/12 - (19*d[24])/4 + d[27]/4 + d[33]/2 - 
       d[34]/2)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     ((10*d[2])/27 + (2*d[4])/9 + (8*d[5])/9 + (41*d[6])/144 + (8*d[7])/9 - 
       (37*d[8])/18 + (13*d[9])/6 - (3*d[10])/2 + (5*d[11])/9 - 
       (9*d[12])/16 - (19*d[13])/36 + (5*d[14])/6 - (4*d[15])/3 + 
       (34*d[16])/9 + d[17]/4 - (5*d[18])/4 + (2*d[19])/3 - 
       (2357*d[20])/144 + d[21] + (4*d[22])/3 - (791*d[23])/144 + 
       (23*d[24])/8 - (2*d[26])/9 - (5*d[27])/9 - (2*d[33])/3 + (2*d[34])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     ((-2*d[2])/3 - d[5]/2 - d[6]/18 - (29*d[7])/24 + (91*d[8])/72 - 
       (29*d[9])/24 + (31*d[10])/18 - (2*d[11])/3 + (2*d[12])/3 - d[13]/18 - 
       (19*d[14])/36 - (95*d[16])/36 - d[17]/36 + d[18]/36 + (13*d[19])/36 + 
       (119*d[20])/48 + (4*d[21])/9 - d[22]/12 - (13*d[23])/48 - 
       (281*d[24])/72 + (11*d[27])/36 + (4*d[33])/9 - (4*d[34])/9)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     ((19*d[5])/24 + (3*d[7])/8 - (11*d[8])/8 + (11*d[9])/8 - (3*d[10])/2 + 
       d[11]/2 - (9*d[12])/16 - (5*d[13])/8 + (3*d[14])/4 + 3*d[16] - 
       d[19]/2 + (5*d[20])/16 - d[21]/2 + (3*d[23])/4 + (15*d[24])/4 - 
       d[27]/4 - d[33]/2 + d[34]/2)*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u] + 
     (d[3]/2 - (2*d[4])/3 + d[5]/3 - (7*d[6])/24 - (7*d[7])/12 - 
       (7*d[8])/12 + d[9]/4 - (7*d[10])/8 + (43*d[11])/16 + (13*d[12])/8 - 
       (11*d[15])/24 - (2*d[16])/3 + (17*d[17])/16 - (87*d[18])/16 + 
       d[19]/3 - (13*d[20])/48 + (13*d[21])/12 + (17*d[22])/24 + d[23]/8 - 
       (47*d[24])/48 + (2*d[27])/3)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]^2 + 
     (d[4] - d[5]/2 + d[6]/2 - (43*d[7])/12 - (43*d[8])/12 + (49*d[9])/12 + 
       (31*d[10])/6 - (5*d[11])/3 + d[12]/3 - (5*d[14])/4 + d[15]/8 + d[16] - 
       (27*d[17])/8 + (37*d[18])/8 + (17*d[20])/12 - (3*d[21])/2 + 
       (31*d[23])/24 - (35*d[24])/48 - d[27])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]^2 + ((-3*d[2])/2 - (3*d[7])/2 - (3*d[8])/2 + 
       (3*d[9])/2 - (11*d[10])/8 + (11*d[11])/4 + (11*d[12])/4 - 
       (3*d[13])/8 + d[14]/4 - d[19]/8 - 7*d[20] - (5*d[23])/2 + 
       (23*d[24])/8)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2 + 
     (-d[4]/3 + (7*d[5])/4 + 2*d[7] - (49*d[8])/12 + (37*d[9])/12 - 
       (8*d[10])/3 + (23*d[11])/12 - (13*d[12])/6 - (2*d[13])/3 - d[14]/6 - 
       (91*d[15])/12 + (59*d[16])/12 - 2*d[17] + 6*d[18] + (77*d[19])/12 + 
       (29*d[20])/8 + (103*d[21])/12 + (89*d[22])/12 - (7*d[23])/8 + 
       (53*d[24])/48 - d[26]/2 - d[27]/4 - d[28]/6 - d[29]/12 - (2*d[30])/3 - 
       d[33] + d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     ((2*d[2])/3 - (5*d[5])/2 + d[6]/2 + (19*d[7])/6 + (11*d[8])/2 - 5*d[9] + 
       (3*d[10])/2 + (2*d[11])/3 - (11*d[12])/24 + (5*d[13])/4 - d[14]/2 - 
       (59*d[16])/12 + d[17]/2 - d[18]/2 + (17*d[19])/12 + (7*d[20])/4 + 
       (3*d[21])/2 - d[22]/12 + (3*d[23])/4 - (47*d[24])/6 + (5*d[27])/6 + 
       d[28]/3 - d[29]/12 + (4*d[30])/3 + (3*d[33])/2 - (3*d[34])/2)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     (-d[2]/36 - (7*d[5])/4 + d[6]/4 + (7*d[7])/24 + (91*d[8])/24 - 
       (17*d[9])/4 + (3*d[10])/4 - (19*d[11])/12 - (7*d[12])/8 - d[13] + 
       d[14] - (83*d[16])/24 + d[17]/4 - d[18]/4 + (7*d[19])/8 - 
       (29*d[20])/24 + (11*d[21])/12 - d[22]/24 - (5*d[23])/24 - 
       (221*d[24])/24 - d[28]/12 - d[29]/24 - d[30]/3 + (11*d[33])/12 - 
       (11*d[34])/12)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2 + 
     (d[6]/12 + d[7]/6 + d[8]/3 - (13*d[9])/12 + d[10]/12 - d[11]/6 + 
       (2*d[12])/3 - d[15]/3 - (5*d[16])/8 + d[18]/2 + d[19]/2 + 
       (5*d[20])/12 + d[21]/3 + d[22]/2 - d[23]/2 - (43*d[24])/24)*
      HPL[{0, 1}, 1 - u]^3 + (d[3]/8 - d[4]/6 + d[5]/12 + (49*d[6])/48 - 
       (5*d[7])/24 - (5*d[8])/24 + d[9]/8 - d[10]/2 + (7*d[11])/16 + 
       d[12]/8 - (77*d[15])/24 - d[16]/6 + (21*d[17])/8 - (17*d[18])/4 + 
       (77*d[19])/24 + (283*d[20])/96 + (95*d[21])/24 + (71*d[22])/24 - 
       (51*d[23])/16 - (43*d[24])/6 + d[27]/6)*HPL[{1}, 1 - u]^4*
      HPL[{0, 1}, 1 - v] + (-d[3]/12 - (5*d[4])/9 + (25*d[5])/9 - 
       (145*d[6])/72 - (49*d[7])/144 - (745*d[8])/144 + (203*d[9])/48 - 
       (101*d[10])/24 + (5*d[11])/3 + (11*d[12])/8 + (2*d[13])/3 - d[14] + 
       (143*d[15])/36 + (319*d[16])/36 - (13*d[17])/3 + (16*d[18])/3 - 
       (203*d[19])/36 - (215*d[20])/72 - (487*d[21])/72 - (119*d[22])/36 + 
       (37*d[23])/8 + (5615*d[24])/288 + (5*d[26])/24 - (5*d[27])/18 - 
       (5*d[33])/3 + (5*d[34])/3)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v] + ((-45*d[5])/16 + (5*d[6])/16 - (583*d[7])/144 + 
       (181*d[8])/72 - (25*d[9])/18 + (217*d[10])/72 + (169*d[11])/144 + 
       (143*d[12])/72 - (17*d[13])/8 + (35*d[14])/24 - (3*d[15])/2 - 
       (21*d[16])/2 + 2*d[17] - (11*d[18])/2 + (27*d[19])/8 - (29*d[20])/18 + 
       (27*d[21])/8 + (3*d[22])/2 + (2*d[23])/9 - (595*d[24])/72 + 
       (15*d[27])/16 + (15*d[33])/8 - (15*d[34])/8)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v] + 
     ((2*d[4])/3 - d[5]/3 + (5*d[6])/12 + (5*d[7])/6 + (5*d[8])/6 - d[9]/2 + 
       (5*d[10])/2 - (9*d[11])/2 - (11*d[12])/4 + (3*d[13])/4 + d[14]/4 + 
       (13*d[15])/12 + (2*d[16])/3 - d[17] + 4*d[18] - (13*d[19])/12 + 
       (179*d[20])/24 - (25*d[21])/12 - (13*d[22])/12 + (21*d[23])/8 - 
       (97*d[24])/48 - (2*d[27])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - v] + ((13*d[7])/12 + (13*d[8])/12 - (13*d[9])/12 - 
       (5*d[10])/3 + (13*d[11])/6 + (13*d[12])/6 + d[14]/2 - (103*d[20])/24 - 
       (31*d[23])/24 + (11*d[24])/12)*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v] + 
     (-d[2]/18 - (7*d[4])/18 - d[5]/36 - (11*d[6])/36 + (19*d[7])/48 - 
       (19*d[8])/144 + (11*d[9])/144 + (5*d[10])/6 - (17*d[11])/72 - 
       (53*d[12])/144 - (5*d[13])/9 + d[14]/3 + (16*d[15])/9 - (5*d[16])/18 - 
       d[17]/2 + (31*d[18])/9 - (16*d[19])/9 + (157*d[20])/72 - d[21]/2 - 
       (23*d[22])/9 + (163*d[23])/72 + (20*d[24])/3 + (5*d[27])/36 + 
       d[33]/18 - d[34]/18)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + (-d[2]/6 + (19*d[4])/6 - (17*d[5])/12 - 3*d[6] + 
       (215*d[7])/48 + (413*d[8])/144 - (185*d[9])/144 + (197*d[10])/36 - 
       (565*d[11])/72 - (215*d[12])/36 + (7*d[13])/8 - d[14]/3 + 
       (41*d[15])/12 + (13*d[16])/2 - (53*d[17])/6 + (61*d[18])/3 - 
       (143*d[19])/36 - (4495*d[20])/144 - (181*d[21])/18 - (11*d[22])/4 - 
       (611*d[23])/72 + (505*d[24])/36 - (31*d[27])/9 - (5*d[33])/9 + 
       (5*d[34])/9)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + (-d[3]/2 + d[5]/2 + d[6]/3 + (53*d[7])/6 + 
       (37*d[8])/6 - (37*d[9])/6 - (77*d[10])/6 + 6*d[11] + 5*d[12] - d[13] + 
       (11*d[14])/2 - (5*d[15])/6 + (7*d[17])/3 - (17*d[18])/3 + 
       (5*d[19])/6 - (5*d[20])/12 + (5*d[21])/6 + (5*d[22])/6 + 
       (121*d[23])/24 - (13*d[24])/8)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (-d[5] - d[7] + (17*d[8])/6 - (17*d[9])/6 + (10*d[10])/3 - 
       (10*d[11])/3 - (53*d[12])/24 + d[13]/4 - (13*d[14])/4 - 4*d[16] + 
       (2*d[19])/3 + (11*d[20])/24 + (2*d[21])/3 - d[23]/24 - (85*d[24])/12 + 
       d[27]/3 + (2*d[33])/3 - (2*d[34])/3)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + (d[2]/36 - d[3]/12 + d[4]/3 - (7*d[5])/12 + 
       (7*d[6])/12 - d[7]/12 + (17*d[8])/12 - (5*d[9])/4 + d[10]/6 - 
       2*d[11] + (25*d[12])/12 + d[13]/3 - d[15]/6 - d[16] + d[17]/12 + 
       (10*d[18])/3 + d[19]/2 - (167*d[20])/48 - d[21]/3 - d[22]/6 - 
       (11*d[23])/2 - (91*d[24])/16 + d[26]/3 - d[27]/6 + d[33]/3 - d[34]/3)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     (d[2]/9 + (2*d[3])/3 - (19*d[4])/18 - (161*d[5])/36 - (25*d[6])/72 - 
       (769*d[7])/144 + (2099*d[8])/144 - (227*d[9])/16 + (28*d[10])/3 - 
       (29*d[11])/24 - (149*d[12])/24 - (2*d[13])/3 - (5*d[14])/3 - 
       (713*d[15])/72 - (349*d[16])/18 + (13*d[17])/6 - (35*d[18])/6 + 
       (941*d[19])/72 + (2843*d[20])/144 + (1049*d[21])/72 + (665*d[22])/72 + 
       (85*d[23])/48 - (14689*d[24])/288 + (77*d[27])/36 - d[28]/6 + 
       (2*d[30])/3 + (19*d[33])/6 - (19*d[34])/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((15*d[4])/8 - (15*d[5])/16 - (127*d[7])/144 - (487*d[8])/144 + 
       (311*d[9])/72 - (7*d[10])/144 - (275*d[11])/144 + (661*d[12])/144 - 
       (11*d[13])/8 + (4*d[14])/3 + (45*d[15])/16 + (15*d[16])/8 + 
       (3*d[17])/4 - (45*d[19])/16 - (601*d[20])/144 - (45*d[21])/8 - 
       (45*d[22])/16 - (617*d[23])/72 + (1141*d[24])/144 - (15*d[27])/8)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((-4*d[2])/27 + (5*d[4])/18 + (5*d[5])/36 + d[6]/48 - (9*d[7])/16 + 
       (71*d[8])/144 - (67*d[9])/144 - (3*d[10])/4 + (25*d[11])/72 + 
       (19*d[12])/4 + d[13]/3 + d[14] + (5*d[15])/9 + (11*d[16])/18 - 
       (5*d[17])/36 - (3*d[18])/4 - (2*d[19])/3 + (349*d[20])/48 - 
       (35*d[21])/36 - d[22]/3 + (109*d[23])/144 - (401*d[24])/144 - 
       d[27]/9 - d[33]/9 + d[34]/9)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v] + (d[2]/9 - (5*d[4])/3 + (11*d[5])/6 - (5*d[6])/24 - 
       (133*d[7])/48 - (703*d[8])/144 + (583*d[9])/144 + (13*d[10])/72 + 
       (115*d[11])/36 - (53*d[12])/36 + (35*d[13])/24 - (3*d[14])/2 - 
       (47*d[15])/8 + (25*d[16])/12 + (3*d[17])/2 + (383*d[19])/72 - 
       (95*d[20])/72 + (259*d[21])/36 + (47*d[22])/8 - (607*d[23])/144 - 
       (185*d[24])/36 + (5*d[26])/24 + (25*d[27])/18 - (5*d[33])/9 + 
       (5*d[34])/9)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     (-d[2]/24 + d[5]/8 + (9*d[7])/32 - (101*d[8])/96 + (101*d[9])/96 + 
       d[10]/6 + (19*d[11])/48 - (7*d[12])/24 + d[13]/4 - (3*d[14])/16 + 
       3*d[15] + d[16] - (3*d[17])/4 - (19*d[19])/6 - (113*d[20])/96 - 
       (19*d[21])/6 - 3*d[22] + (173*d[23])/48 + (227*d[24])/24 - d[27]/12 - 
       d[33]/6 + d[34]/6)*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v] + 
     (d[3] + (13*d[4])/9 - (13*d[5])/18 + (137*d[6])/72 + (29*d[7])/36 + 
       (29*d[8])/36 - d[9]/12 - (11*d[10])/4 - (137*d[11])/24 - 
       (13*d[12])/3 - (88*d[15])/9 + (13*d[16])/9 - (31*d[17])/24 + 
       (209*d[18])/24 + (361*d[19])/36 + (475*d[20])/72 + (301*d[21])/36 + 
       (167*d[22])/18 - (17*d[23])/2 - (2573*d[24])/144 - (13*d[27])/9)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((2*d[4])/9 - d[5]/9 + (5*d[6])/36 + (265*d[7])/24 + (265*d[8])/24 - 
       (787*d[9])/72 + (25*d[10])/18 - (29*d[11])/36 + (61*d[12])/36 - 
       d[14]/6 + (191*d[15])/18 + (2*d[16])/9 + (29*d[17])/12 + 
       (5*d[18])/12 - (391*d[19])/36 - d[20]/2 - (403*d[21])/36 - 
       (391*d[22])/36 + (269*d[23])/36 + (787*d[24])/48 - (2*d[27])/9)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((-7*d[5])/2 - (373*d[7])/72 - (373*d[8])/72 + (373*d[9])/72 - 
       (29*d[10])/36 + (29*d[11])/36 + (29*d[12])/36 - (9*d[13])/4 + 
       (7*d[14])/6 + (131*d[20])/72 + (31*d[23])/36 + (77*d[24])/9)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((2*d[3])/3 - (17*d[5])/6 - (5*d[6])/6 - (27*d[7])/8 + (289*d[8])/72 - 
       (193*d[9])/72 + (29*d[10])/9 - (269*d[11])/36 - (139*d[12])/72 - 
       (11*d[13])/6 + (10*d[14])/3 + d[15]/6 - (19*d[16])/6 - (8*d[17])/3 + 
       (26*d[18])/3 + (17*d[19])/18 - (11*d[20])/18 - (55*d[21])/18 - 
       d[22]/6 - (199*d[23])/36 - (625*d[24])/72 + d[26] + d[27]/18 + 
       d[29]/6 + (10*d[33])/9 - (10*d[34])/9 - d[35]/3 - 2*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((8*d[3])/3 - (2*d[4])/3 - (3*d[5])/2 + d[6]/3 + (73*d[7])/8 + 
       (317*d[8])/72 - (473*d[9])/72 - (71*d[10])/9 - (19*d[11])/36 + 
       (125*d[12])/36 + (37*d[13])/4 - (5*d[14])/3 + (3*d[15])/2 + 
       (17*d[16])/3 - d[17]/6 - (3*d[18])/2 - (59*d[19])/18 + (47*d[20])/72 - 
       (25*d[21])/9 - (9*d[22])/2 + (43*d[23])/36 - (16*d[24])/9 - 
       (19*d[27])/18 - (4*d[31])/3 - (2*d[32])/3 + (11*d[33])/9 + d[34]/9 - 
       4*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((-23*d[2])/18 - (4*d[3])/3 + d[4]/6 + 
       (7*d[5])/2 - d[6]/6 - (9*d[7])/4 + 8*d[8] - (41*d[9])/6 + 4*d[10] - 
       (7*d[11])/12 - (5*d[12])/4 - (5*d[13])/3 + d[14]/3 - (7*d[15])/12 - 
       (49*d[16])/6 + (5*d[17])/12 + (7*d[18])/12 + (11*d[19])/6 - 
       (13*d[20])/4 + (11*d[21])/6 + (5*d[22])/3 - (25*d[23])/12 - 
       (247*d[24])/12 + d[26]/6 + d[27]/4 + (2*d[31])/3 + d[32]/3 + d[33]/6 - 
       (5*d[34])/6 + 2*d[36])*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + (d[3] - (3*d[4])/4 - (3*d[5])/8 + d[6]/2 + 
       d[7]/2 + (13*d[9])/8 + (5*d[10])/8 - (3*d[11])/4 + (3*d[12])/4 - 
       d[13]/2 - (3*d[14])/4 - (3*d[15])/4 + d[16]/8 + d[18]/2 + d[19]/4 + 
       (13*d[20])/8 + d[22]/4 - (3*d[23])/4 - (11*d[24])/8 + d[26]/8 - 
       d[27]/4 - d[29]/4 - d[35]/2 - 3*d[36])*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v] + (d[3]/2 + (4*d[4])/3 - (2*d[5])/3 + (23*d[6])/24 + 
       (7*d[7])/6 + (7*d[8])/6 - d[9]/2 - (3*d[10])/8 - (53*d[11])/16 - 
       (17*d[12])/8 + (19*d[15])/24 + (4*d[16])/3 - (31*d[17])/16 + 
       (105*d[18])/16 - (11*d[19])/12 + (5*d[20])/48 - (19*d[21])/6 - 
       (13*d[22])/24 - (5*d[23])/2 - (25*d[24])/24 - (4*d[27])/3)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^2 + 
     ((-2*d[4])/3 + d[5]/3 - (5*d[6])/12 + (49*d[7])/12 + (49*d[8])/12 - 
       (53*d[9])/12 - (5*d[10])/6 + (29*d[11])/6 + (31*d[12])/12 - 
       (3*d[14])/4 + (37*d[15])/24 - (2*d[16])/3 - (3*d[17])/8 - 
       (43*d[18])/8 - (17*d[19])/12 - (13*d[20])/6 - (5*d[21])/12 - 
       (17*d[22])/12 + (127*d[23])/24 + (25*d[24])/24 + (2*d[27])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2 + 
     ((-17*d[7])/6 - (17*d[8])/6 + (17*d[9])/6 + (5*d[10])/3 - (5*d[11])/3 - 
       (5*d[12])/3 - d[14]/2 + (8*d[20])/3 + (5*d[23])/12 + d[24]/3)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]^2 + 
     ((-2*d[4])/3 + (7*d[5])/6 - d[6]/3 - (7*d[7])/6 + d[8]/2 - (5*d[9])/3 + 
       d[10] + (5*d[11])/3 + (11*d[12])/8 - (9*d[13])/4 + d[14]/6 + 
       (13*d[15])/12 + (11*d[16])/12 - 2*d[17] + (14*d[18])/3 - (7*d[19])/4 - 
       d[20]/3 + (11*d[21])/12 - (5*d[22])/4 + 4*d[23] + (107*d[24])/48 - 
       d[26]/2 + d[27]/3 - d[28]/6 - d[29]/12 + (2*d[30])/3 - d[33]/2 + 
       d[34]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     (d[5] + (11*d[7])/12 - (31*d[8])/6 + (31*d[9])/6 - (49*d[10])/24 + 
       (23*d[11])/12 - d[12]/3 + 2*d[13] + (5*d[14])/4 - 2*d[15] + 4*d[16] + 
       (4*d[19])/3 - (19*d[20])/24 + (4*d[21])/3 + 2*d[22] + (5*d[23])/24 + 
       (175*d[24])/24 - d[27]/3 + d[28]/4 - d[30] - (2*d[33])/3 + 
       (2*d[34])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     ((3*d[2])/8 - (25*d[5])/8 - d[7] + (11*d[8])/3 - (11*d[9])/3 + 
       (91*d[10])/24 - (5*d[11])/3 + d[12]/3 - d[13]/8 - (15*d[14])/8 + 
       d[15] - 8*d[16] + d[19]/3 - (7*d[20])/12 + d[21]/3 - d[22] + d[23]/6 - 
       (431*d[24])/48 + (2*d[27])/3 - d[28]/8 + d[30]/2 + (4*d[33])/3 - 
       (4*d[34])/3)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2 + 
     (d[4]/4 + (7*d[5])/8 + d[6]/4 + d[7]/4 + d[8]/4 - (13*d[9])/8 + 
       (11*d[10])/8 + d[11]/4 + (7*d[12])/4 - d[14]/2 + d[15]/2 - 2*d[16] - 
       d[17]/2 + (3*d[18])/2 - d[19]/4 + d[20]/2 - d[21]/4 - d[22]/2 + 
       d[23]/2 - d[24]/8 - d[26]/8 - d[27]/4 - d[29]/8 + d[33]/4 - d[34]/4)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + 
     (-d[3]/24 - (13*d[4])/24 + d[5]/4 - (11*d[6])/16 - (5*d[7])/12 - 
       (3*d[8])/8 + d[9]/8 + (7*d[10])/24 + (3*d[11])/2 + (7*d[12])/8 - 
       (7*d[15])/8 - d[16]/2 + d[17]/4 - (9*d[18])/4 + (7*d[19])/8 - 
       d[20]/8 + (13*d[21])/8 + (7*d[22])/8 + (3*d[23])/8 - (37*d[24])/32 + 
       d[27]/2)*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - w] + 
     ((-4*d[3])/9 + (7*d[4])/18 - (13*d[5])/36 + (13*d[6])/18 - (17*d[7])/8 - 
       (169*d[8])/72 + (151*d[9])/72 + (17*d[10])/18 - (19*d[11])/12 - 
       (5*d[12])/12 + d[13]/3 - d[14] + (11*d[15])/9 + (31*d[16])/36 - 
       (4*d[17])/9 + (16*d[18])/9 - (5*d[19])/4 + (9*d[20])/16 - 
       (4*d[21])/3 - (23*d[22])/12 - (31*d[23])/48 + (211*d[24])/72 - 
       d[27]/3 + d[31]/18 + d[32]/18 - d[34]/18)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-5*d[3])/24 + d[4]/12 - d[5]/6 + (5*d[7])/3 + (13*d[8])/6 - 
       (7*d[9])/6 - (7*d[10])/12 - (7*d[11])/12 - d[12]/6 - d[13]/2 + 
       (3*d[14])/2 + d[15]/4 - d[16]/24 - (7*d[17])/24 + (79*d[18])/24 - 
       d[19]/4 - (19*d[20])/6 - (23*d[21])/12 + (3*d[22])/4 - (5*d[23])/6 - 
       d[24]/8 - d[27]/2 + d[32]/12)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w] + (-d[4]/2 + d[5]/6 - (5*d[6])/24 + (23*d[7])/16 + 
       (23*d[8])/16 - (77*d[9])/48 - (13*d[10])/6 + (29*d[11])/24 + 
       (5*d[12])/24 + d[14] - (7*d[15])/24 - d[16]/3 + d[17]/2 - 
       (3*d[18])/2 + (7*d[19])/24 + (41*d[20])/16 + (19*d[21])/24 + 
       (7*d[22])/24 + (89*d[23])/48 - (9*d[24])/32 + d[27]/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w] + 
     (d[7]/3 + d[8]/3 - d[9]/3 + (5*d[10])/6 - (4*d[11])/3 - (4*d[12])/3 - 
       (3*d[14])/4 + (4*d[20])/3 + d[23]/3 - (4*d[24])/3)*HPL[{1}, 1 - v]^4*
      HPL[{0, 1}, 1 - w] + ((-5*d[4])/6 - (259*d[6])/144 + d[7]/9 - 
       (7*d[8])/9 + d[9]/2 + (49*d[10])/18 + (13*d[11])/6 + (91*d[12])/144 + 
       (7*d[13])/36 - (2*d[14])/3 - (2*d[15])/9 - (41*d[16])/18 + 
       (23*d[17])/4 - (305*d[18])/36 + (7*d[19])/18 + (419*d[20])/144 + 
       (19*d[21])/6 - (2*d[22])/9 + (401*d[23])/144 + (125*d[24])/24 - 
       (2*d[26])/9 + (7*d[27])/9 + (2*d[33])/9 - (2*d[34])/9)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((8*d[4])/3 - (11*d[5])/6 + (7*d[6])/6 - (29*d[7])/8 - (59*d[8])/24 + 
       (91*d[9])/24 + (109*d[10])/12 - (27*d[11])/4 - (11*d[12])/3 + 
       d[13]/6 - d[14]/4 + (11*d[15])/2 + (2*d[16])/3 - (23*d[17])/6 + 
       (56*d[18])/3 - (31*d[19])/6 - (265*d[20])/48 - (47*d[21])/6 - 
       (37*d[22])/6 - (337*d[23])/48 + (85*d[24])/12 - (5*d[27])/2 + 
       d[33]/3 - d[34]/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + (-d[3]/6 - (11*d[4])/18 + (65*d[5])/36 - 
       (181*d[6])/144 + (1435*d[7])/144 + (1123*d[8])/144 - (437*d[9])/48 - 
       (101*d[10])/12 + (143*d[11])/24 + (97*d[12])/12 + (3*d[13])/2 + 
       (5*d[14])/2 - (7*d[15])/18 + (103*d[16])/18 - (5*d[17])/4 + 
       (5*d[18])/4 - (11*d[19])/18 + (1459*d[20])/144 - (49*d[21])/36 + 
       (19*d[22])/18 - (181*d[23])/48 - (187*d[24])/144 + d[26]/3 + d[27]/9 - 
       d[33] + d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + (d[5]/2 - (677*d[7])/144 - (809*d[8])/144 + 
       (809*d[9])/144 - (77*d[10])/36 + (295*d[11])/72 + (223*d[12])/72 - 
       (9*d[13])/8 + (11*d[14])/3 + 12*d[15] + 2*d[16] - 3*d[17] - 
       (37*d[19])/3 - (91*d[20])/72 - (37*d[21])/3 - 12*d[22] + 
       (2197*d[23])/144 + (2017*d[24])/72 - d[27]/6 - d[33]/3 + d[34]/3)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (d[2]/3 + (11*d[5])/12 + (13*d[6])/24 + (7*d[7])/12 - (13*d[8])/6 + 
       (13*d[9])/6 - (85*d[10])/24 + (11*d[11])/24 + (59*d[12])/48 + 
       (7*d[13])/24 - (5*d[14])/12 + d[15]/8 + (47*d[16])/12 - 
       (65*d[17])/12 + (55*d[18])/6 - (5*d[19])/8 - (305*d[20])/24 - 
       (8*d[21])/3 + (5*d[22])/24 - (19*d[23])/4 + (247*d[24])/48 + 
       (11*d[26])/24 - d[27]/4 - d[33]/2 + d[34]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (-d[2]/3 - d[4]/6 - (19*d[5])/4 + (5*d[6])/6 - (35*d[7])/6 + 
       (57*d[8])/4 - (53*d[9])/4 + (25*d[10])/6 - (19*d[11])/4 + 
       (7*d[12])/3 - (2*d[13])/3 - (5*d[14])/3 - (17*d[15])/2 - 
       (113*d[16])/6 + (4*d[17])/3 - (4*d[18])/3 + (35*d[19])/3 + 
       (491*d[20])/24 + (37*d[21])/3 + (47*d[22])/6 + (5*d[23])/12 - 
       (181*d[24])/4 + (19*d[27])/12 - d[28]/6 + (2*d[30])/3 + (19*d[33])/6 - 
       (19*d[34])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w] + (-d[2]/4 + (5*d[4])/8 + (5*d[5])/48 + (5*d[6])/4 + 
       (25*d[7])/8 + (131*d[8])/72 - (217*d[9])/144 + (367*d[10])/144 - 
       (643*d[11])/144 - (865*d[12])/144 + (5*d[13])/4 - (47*d[14])/24 - 
       (141*d[15])/16 + (43*d[16])/24 + (9*d[17])/4 + (1181*d[19])/144 - 
       (79*d[20])/18 + (793*d[21])/72 + (141*d[22])/16 - (487*d[23])/72 - 
       (2029*d[24])/144 - (5*d[26])/4 - (67*d[27])/72 - (11*d[33])/18 + 
       (11*d[34])/18)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w] + ((5*d[2])/18 + d[4]/6 - d[5]/12 - d[6]/12 + 
       (5*d[7])/9 - d[8]/3 + (5*d[9])/12 + (3*d[10])/4 - (37*d[11])/36 - 
       (23*d[12])/12 - d[13]/2 + 2*d[14] + (8*d[15])/9 + d[16]/6 - 
       (2*d[17])/9 + (19*d[18])/9 - (8*d[19])/9 - (209*d[20])/72 - 
       (41*d[21])/36 - (8*d[22])/9 + (5*d[23])/6 - (85*d[24])/144 - d[27]/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w] + 
     (d[2]/6 + d[5]/4 - (5*d[6])/8 + (25*d[7])/8 + (35*d[8])/24 - 
       (35*d[9])/24 - (55*d[10])/24 - d[11]/24 + (19*d[12])/4 - d[13]/4 + 
       (4*d[14])/3 + (15*d[15])/8 + (5*d[16])/4 + d[17]/2 - (15*d[19])/8 + 
       d[20]/6 - (15*d[21])/4 - (15*d[22])/8 - (85*d[23])/24 + 
       (127*d[24])/24 + (5*d[26])/8)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - w] + (-d[5] - (3*d[7])/4 + (31*d[8])/12 - 
       (31*d[9])/12 + (4*d[10])/3 - (5*d[11])/6 - (13*d[12])/48 + d[13]/4 - 
       (17*d[14])/16 - 4*d[16] + (2*d[19])/3 - (5*d[20])/48 + (2*d[21])/3 - 
       (29*d[23])/48 - (173*d[24])/24 + d[27]/3 + (2*d[33])/3 - (2*d[34])/3)*
      HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w] + 
     (d[2]/2 + (5*d[3])/6 - (17*d[4])/6 - d[5]/12 - (17*d[6])/8 + 
       (7*d[7])/3 + (7*d[8])/6 - (25*d[9])/12 + (23*d[10])/6 + (5*d[11])/2 + 
       (31*d[12])/12 - (2*d[13])/3 + d[14]/2 - (4*d[15])/3 + (5*d[16])/6 - 
       (7*d[17])/12 + (59*d[18])/12 + d[19] + (13*d[20])/6 + (7*d[21])/4 + 
       (11*d[22])/6 - d[23]/3 - (3*d[24])/16 + d[26]/4 + (7*d[27])/6 - 
       (2*d[31])/3 - d[32]/3 + (2*d[33])/3 - 2*d[36])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-5*d[2])/3 - 3*d[3] + (17*d[4])/3 - d[5]/6 - (2*d[6])/3 - 
       (63*d[7])/4 - (47*d[8])/4 + (137*d[9])/12 + (5*d[10])/3 - 
       (20*d[11])/3 + (2*d[12])/3 + (4*d[13])/3 + (5*d[14])/3 - d[15]/6 - 
       (11*d[16])/2 - (41*d[17])/6 + (3*d[18])/2 + (13*d[19])/6 - 
       (145*d[20])/24 - (13*d[21])/6 + (7*d[22])/2 - (7*d[23])/24 + 
       (61*d[24])/24 - (2*d[26])/3 - (5*d[27])/6 + d[31]/3 - d[32]/3 - 
       d[33] + (2*d[34])/3 + 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((31*d[7])/3 + (31*d[8])/3 - (31*d[9])/3 - 2*d[10] + (2*d[11])/3 + 
       (2*d[12])/3 - d[14]/2 + (31*d[20])/12 + (7*d[23])/3 - (23*d[24])/6)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-4*d[3])/3 + 4*d[4] - 5*d[5] + (47*d[6])/24 + (2*d[7])/3 + 7*d[8] - 
       (16*d[9])/3 + 5*d[10] - (23*d[11])/3 - (53*d[12])/24 + (11*d[13])/3 - 
       3*d[14] - (5*d[15])/6 - (29*d[16])/2 - (13*d[17])/6 + (53*d[18])/6 + 
       (25*d[19])/6 + (35*d[20])/24 + (13*d[21])/6 + (11*d[22])/6 - 
       (23*d[23])/8 - (403*d[24])/24 - d[26] - (4*d[27])/3 + d[29]/6 + 
       (7*d[33])/3 - (7*d[34])/3 + (2*d[35])/3 + 4*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-2*d[2])/3 - (8*d[3])/3 + (10*d[4])/3 - (11*d[5])/6 + (13*d[6])/6 + 
       (25*d[7])/12 + (151*d[8])/12 - (143*d[9])/12 + (77*d[10])/6 + 
       (23*d[11])/6 + (19*d[12])/12 - (29*d[13])/6 - (17*d[14])/6 - 
       (7*d[15])/6 - (37*d[16])/3 + (5*d[17])/6 + (7*d[18])/6 + 3*d[19] - 
       (97*d[20])/24 + 3*d[21] + (10*d[22])/3 - (53*d[23])/24 - 
       (355*d[24])/12 - (7*d[26])/6 + d[27]/2 + (4*d[31])/3 + (2*d[32])/3 - 
       d[33]/3 - d[34] + 4*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((35*d[2])/18 + (4*d[3])/3 - (4*d[4])/3 + (11*d[5])/4 - d[6]/3 + 
       (7*d[7])/6 + d[8]/4 - (7*d[9])/4 - (119*d[10])/12 - d[11]/2 - 
       (11*d[12])/8 + d[13]/12 + (31*d[14])/6 + (3*d[15])/4 + (19*d[16])/2 - 
       d[17]/12 - (3*d[18])/4 - (11*d[19])/4 + (29*d[20])/24 - (5*d[21])/2 - 
       (9*d[22])/4 + (23*d[24])/12 + d[26]/2 - (3*d[27])/4 - (2*d[31])/3 - 
       d[32]/3 - d[33]/2 + (7*d[34])/6 - 2*d[36])*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((11*d[5])/12 + d[6]/12 + (13*d[7])/12 + (7*d[8])/6 + d[9] - d[10]/2 + 
       (5*d[11])/4 + (5*d[12])/3 - d[14]/2 - (25*d[15])/12 - (7*d[16])/6 - 
       d[17]/12 - (5*d[18])/12 + (13*d[19])/6 + (17*d[20])/12 + (5*d[21])/2 + 
       (13*d[22])/6 + (5*d[23])/12 - (16*d[24])/3 - d[26]/6 - d[27]/4 - 
       d[28]/6 - d[29]/4 - (2*d[30])/3)*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w] + ((5*d[2])/6 - (29*d[3])/12 + (5*d[4])/2 + 
       (5*d[5])/4 + (29*d[6])/12 + (5*d[7])/6 - d[8]/6 + d[9]/4 - 
       (5*d[10])/6 - (109*d[11])/12 - (10*d[12])/3 + (5*d[13])/6 + 
       (2*d[14])/3 + (7*d[15])/4 + (35*d[16])/12 - (17*d[17])/12 + 
       (33*d[18])/4 - (11*d[19])/6 + (5*d[20])/24 - (13*d[21])/3 - 2*d[22] - 
       (5*d[23])/4 + (5*d[24])/6 + d[26]/12 - (5*d[27])/6 + (2*d[31])/3 - 
       d[32]/12 - (7*d[33])/6 + d[34]/2 + 2*d[36])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-d[2] + (5*d[3])/3 - (16*d[4])/9 - (34*d[5])/9 - (109*d[6])/36 + 
       (671*d[7])/72 + (731*d[8])/72 - (103*d[9])/8 - (7*d[10])/3 + 
       (65*d[11])/12 - d[12]/12 - (4*d[13])/3 - (7*d[14])/3 - (23*d[15])/36 - 
       (77*d[16])/18 - (11*d[17])/6 + (47*d[18])/6 - d[19]/36 + 
       (167*d[20])/72 + (119*d[21])/36 - (85*d[22])/36 + (13*d[23])/24 + 
       (1121*d[24])/144 + (17*d[27])/18 - (4*d[31])/3 - d[32]/3 + 
       (7*d[33])/3 - d[34] - 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((9*d[3])/4 + (551*d[7])/72 + (551*d[8])/72 - (551*d[9])/72 - 
       (37*d[10])/18 - (103*d[11])/36 - (103*d[12])/36 - (7*d[14])/3 + 
       (3*d[17])/2 + (3*d[18])/2 + (131*d[20])/72 + (101*d[23])/72 - 
       (277*d[24])/36)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((2*d[3])/3 + (7*d[4])/9 - (25*d[5])/18 - 
       (37*d[6])/72 - (101*d[7])/72 + (355*d[8])/72 - (31*d[9])/8 + 
       (9*d[10])/2 - (17*d[11])/12 + (131*d[12])/12 - (5*d[13])/2 - 2*d[14] + 
       (163*d[15])/18 - (49*d[16])/18 - (7*d[17])/6 + (7*d[18])/6 - 
       (157*d[19])/18 - (233*d[20])/72 - (119*d[21])/9 - (175*d[22])/18 - 
       (61*d[23])/24 - (79*d[24])/18 + d[26] - (10*d[27])/9 - d[28]/3 - 
       d[29]/6 + (4*d[30])/3 + d[33] - d[34] - d[35]/3 - 2*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-d[5]/3 - (347*d[7])/72 + (67*d[8])/24 - (43*d[9])/24 - 
       (121*d[10])/12 + d[11]/12 + (19*d[12])/6 + (9*d[13])/4 + 
       (13*d[14])/2 + 12*d[15] - (4*d[16])/3 - (106*d[19])/9 - 
       (149*d[20])/6 - (106*d[21])/9 - 12*d[22] + (23*d[23])/24 + 
       (61*d[24])/6 + d[27]/9 + d[28]/2 - 2*d[30] + (2*d[33])/9 - 
       (2*d[34])/9)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((-3*d[2])/4 - (53*d[5])/12 - (5*d[7])/4 + 
       (89*d[8])/36 - (89*d[9])/36 + (227*d[10])/36 - (8*d[11])/9 + 
       (119*d[12])/72 + (3*d[13])/4 - (31*d[14])/6 + 6*d[15] - (26*d[16])/3 - 
       (41*d[19])/9 - (203*d[20])/72 - (41*d[21])/9 - 6*d[22] + 
       (119*d[23])/36 + (359*d[24])/72 + (13*d[27])/18 - d[28]/4 + d[30] + 
       (13*d[33])/9 - (13*d[34])/9)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + (d[4] + (10*d[5])/3 - (3*d[6])/2 - (5*d[7])/3 - 
       (11*d[8])/6 + (11*d[9])/3 + (2*d[10])/3 + (2*d[11])/3 + (4*d[12])/3 + 
       d[14]/3 + d[15]/3 + (11*d[16])/3 + d[17]/6 - (11*d[18])/6 - 
       (5*d[19])/6 - d[20]/2 - 3*d[21] + d[22]/6 - (3*d[23])/2 + 
       (19*d[24])/4 + d[26]/3 + (5*d[27])/6 + d[29]/3 - d[33] + d[34])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-d[3]/4 + d[4]/2 - (5*d[5])/8 - d[6]/8 + d[7]/4 + (5*d[8])/8 - 
       (11*d[9])/8 + (9*d[10])/8 + d[11]/2 + (11*d[12])/4 - 2*d[13] - d[14] - 
       d[15] - (11*d[16])/4 - d[17]/8 - d[18]/8 + (11*d[19])/8 + d[20]/2 + 
       (3*d[21])/2 + (7*d[22])/8 - (5*d[23])/8 - (13*d[24])/4 - d[26]/8 - 
       d[27]/8 - d[28]/4 - d[29]/8 + d[30] + d[33]/2 - d[34]/2)*
      HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     ((5*d[3])/6 + d[4]/24 - (13*d[5])/24 + d[6]/12 + (19*d[7])/24 + 
       (11*d[8])/12 - (5*d[9])/4 + (13*d[10])/4 - (13*d[11])/8 - 
       (11*d[12])/12 - d[13]/12 - d[14]/4 + (7*d[15])/8 + d[16]/2 - 2*d[17] + 
       4*d[18] - (25*d[19])/24 + (3*d[20])/4 - (5*d[21])/3 - (25*d[22])/24 + 
       (5*d[23])/24 - (7*d[24])/16 - (5*d[27])/8 - d[31]/4 + d[32]/12 + 
       d[34]/4)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]^2 + 
     ((5*d[3])/4 - d[4]/2 - (2*d[5])/3 + (5*d[7])/12 + (11*d[8])/12 + 
       (7*d[9])/12 + (11*d[10])/12 - d[11]/6 + (17*d[12])/12 - d[13]/3 + 
       (2*d[14])/3 + (9*d[15])/2 + (3*d[16])/2 - (47*d[17])/12 + 
       (65*d[18])/12 - (55*d[19])/12 - (25*d[20])/12 - (67*d[21])/12 - 
       (47*d[22])/12 + (19*d[23])/12 + (123*d[24])/16 - (3*d[27])/2 - 
       d[31]/2 - d[32]/2 + d[34]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2 + (d[3]/8 + (25*d[7])/8 + (19*d[8])/8 - 
       (25*d[9])/8 - (11*d[10])/8 + (7*d[11])/4 + (7*d[12])/4 + (3*d[13])/4 - 
       (9*d[14])/8 + (3*d[16])/4 - (3*d[18])/2 - (9*d[20])/8 + (3*d[21])/2 - 
       (3*d[22])/2 + (3*d[23])/8 - (3*d[24])/4)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]^2 + ((-7*d[4])/6 + (11*d[5])/12 - d[6]/12 - 
       (5*d[7])/3 - (5*d[8])/6 - (7*d[9])/12 - (9*d[10])/4 + (35*d[11])/12 - 
       (11*d[12])/24 - (3*d[13])/4 - (5*d[14])/6 + (13*d[15])/12 - 
       (19*d[16])/12 + d[17] - (16*d[18])/3 - (17*d[19])/12 - (13*d[20])/24 + 
       2*d[21] - (5*d[22])/4 + (151*d[23])/24 + (7*d[24])/4 - d[26]/2 + 
       d[27] - d[28]/6 - d[29]/12 + (2*d[30])/3 - d[33]/6 + d[34]/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2 + 
     ((-3*d[5])/2 - (79*d[7])/12 - (7*d[8])/3 + (10*d[9])/3 + 
       (163*d[10])/24 - (23*d[11])/12 - (31*d[12])/24 + (3*d[13])/2 + 
       d[14]/4 + 2*d[15] - 6*d[16] - d[19] + (7*d[20])/24 - d[21] - 2*d[22] + 
       (19*d[23])/24 - (91*d[24])/24 + d[27]/2 + d[28]/4 - d[30] + d[33] - 
       d[34])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2 + 
     ((3*d[2])/8 - d[5]/8 + (5*d[7])/4 - (37*d[8])/12 + (37*d[9])/12 - 
       (29*d[10])/24 + (5*d[11])/6 - (7*d[12])/24 - (7*d[13])/4 - 
       (5*d[14])/8 - d[15] + 4*d[16] + d[19]/3 + (19*d[20])/24 + d[21]/3 + 
       d[22] + (7*d[23])/24 + (355*d[24])/48 - d[27]/3 - d[28]/8 + d[30]/2 - 
       (2*d[33])/3 + (2*d[34])/3)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2 + 
     (-d[4]/6 + d[5]/4 + d[6]/12 - (11*d[7])/12 + d[8]/4 - (5*d[9])/6 + 
       (2*d[10])/3 + (5*d[11])/12 - d[12]/3 + (2*d[14])/3 + d[15]/12 - 
       d[16]/3 - (2*d[17])/3 + (4*d[18])/3 + d[19]/4 - d[20]/2 + d[21]/2 + 
       (5*d[22])/12 + (11*d[23])/12 - d[24]/3 - d[26]/6 + d[27]/6 + 
       d[29]/12 + d[32]/3 - d[33]/6 + d[34]/6)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2 + (d[3] - d[4] - (3*d[5])/8 + d[6]/8 - 
       (5*d[7])/4 + (5*d[8])/8 - (3*d[9])/8 + (25*d[10])/8 - d[11]/4 + 
       (7*d[12])/4 - 2*d[13] - (7*d[14])/4 + d[15]/2 - 2*d[16] + d[17]/8 + 
       d[18]/8 - (5*d[19])/8 - (5*d[20])/8 - d[21]/4 - (9*d[22])/8 - 
       (7*d[23])/8 - (27*d[24])/8 + d[26]/8 + (3*d[27])/8 - d[28]/4 - 
       d[29]/8 + d[30] + d[33]/2 - d[34]/2 - d[35]/2 - 3*d[36])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     (d[3]/12 + d[5]/6 - d[6]/12 + (3*d[7])/4 + (3*d[8])/4 - (2*d[9])/3 - 
       (7*d[10])/12 - d[11]/12 + d[12]/3 - (2*d[13])/3 - d[14]/12 + d[15]/2 - 
       (5*d[16])/8 - d[17]/12 + d[18]/12 - (5*d[19])/12 - (7*d[20])/24 - 
       d[21]/2 - d[22]/2 + d[23]/6 - d[24]/12 - d[27]/12 - d[28]/12 - 
       d[29]/24 + d[30]/3 - d[32]/12 + d[33]/12)*HPL[{0, 1}, 1 - w]^3 + 
     ((7*d[4])/3 - (4*d[5])/3 + (4*d[6])/3 + (7*d[7])/3 + (7*d[8])/3 - d[9] - 
       (23*d[11])/3 - 5*d[12] + (13*d[15])/6 + (8*d[16])/3 - (23*d[17])/6 + 
       (31*d[18])/2 - 2*d[19] + (7*d[20])/3 - 6*d[21] - 2*d[22] - 
       (9*d[23])/2 - (37*d[24])/12 - (8*d[27])/3)*HPL[{1}, 1 - u]^3*
      HPL[{0, 0, 1}, 1 - u] + ((4*d[4])/3 - (2*d[5])/3 - (11*d[6])/12 + 
       (49*d[7])/4 + (49*d[8])/4 - (139*d[9])/12 - (5*d[10])/3 - d[11]/3 + 
       (25*d[12])/6 + d[14] + (7*d[15])/6 + (10*d[16])/3 - d[17]/2 + 
       d[18]/2 - (7*d[19])/6 - 2*d[20] - (37*d[21])/6 - (7*d[22])/6 + 
       (17*d[23])/6 - 3*d[24] + d[26] - (4*d[27])/3)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((-5*d[4])/18 + (5*d[5])/36 - (25*d[6])/144 + (59*d[7])/72 + 
       (275*d[8])/72 - (95*d[9])/24 - (49*d[10])/12 - d[11]/3 + 
       (25*d[12])/24 + (5*d[14])/2 - (55*d[15])/72 - (5*d[16])/18 + 
       (5*d[17])/12 - (25*d[18])/12 + (55*d[19])/72 - (103*d[20])/18 + 
       (85*d[21])/72 + (55*d[22])/72 - (4*d[23])/3 - (2369*d[24])/288 + 
       (5*d[27])/18)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - u] + ((-85*d[7])/72 - (85*d[8])/72 + (85*d[9])/72 + 
       (25*d[10])/36 - (25*d[11])/36 - (25*d[12])/36 - d[14]/3 + 
       (433*d[20])/144 + (151*d[23])/144 + (31*d[24])/72)*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - u] + (-d[2]/3 + (2*d[4])/3 + d[5]/6 + (5*d[6])/2 - 
       (15*d[7])/4 + (31*d[8])/4 - (61*d[9])/12 - (25*d[10])/3 - 
       (7*d[11])/3 - (2*d[12])/3 + (8*d[13])/3 - (2*d[14])/3 + 2*d[15] - 
       (2*d[16])/3 - (2*d[17])/3 + (16*d[18])/3 - (5*d[19])/3 + (9*d[20])/4 - 
       (8*d[21])/3 - 2*d[22] - (31*d[23])/6 - (133*d[24])/6 - d[27]/2 + 
       d[28]/6 + d[29]/6 + (2*d[30])/3 + d[33]/3 - d[34]/3 + d[35]/6)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((-2*d[2])/3 + (4*d[4])/3 - (14*d[5])/3 + (5*d[6])/6 + (13*d[7])/6 + 
       (23*d[8])/2 - (89*d[9])/6 + 16*d[10] - (29*d[11])/3 - (14*d[12])/3 - 
       (4*d[13])/3 - (16*d[14])/3 + (8*d[15])/3 - 14*d[16] - 2*d[17] + 
       10*d[18] + (10*d[20])/3 - 2*d[21] - (8*d[22])/3 - d[23] - 
       (83*d[24])/6 - (2*d[28])/3 - (8*d[30])/3 + (8*d[33])/3 - (8*d[34])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((5*d[5])/12 + (295*d[7])/48 + (625*d[8])/144 - (625*d[9])/144 - 
       (35*d[10])/9 + (259*d[11])/72 + (443*d[12])/144 + (5*d[13])/3 + 
       d[14]/2 + (5*d[16])/3 - (5*d[19])/18 - (355*d[20])/72 - (5*d[21])/18 - 
       (19*d[23])/72 + (23*d[24])/36 - (5*d[27])/36 - (5*d[33])/18 + 
       (5*d[34])/18)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + ((7*d[2])/3 - (5*d[4])/6 + (43*d[5])/12 - 
       (37*d[6])/48 - (11*d[7])/24 - (21*d[8])/8 + (23*d[9])/8 - 
       (115*d[10])/12 + 4*d[11] + (77*d[12])/24 + d[13]/3 + (7*d[14])/3 - 
       (37*d[15])/24 + (15*d[16])/2 + d[17]/4 - (43*d[18])/12 - d[19]/8 + 
       (37*d[20])/24 + (9*d[21])/8 + (37*d[22])/24 - (55*d[23])/24 + 
       (55*d[24])/32 + d[28]/6 + (2*d[30])/3 - (5*d[33])/3 + (5*d[34])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((-7*d[5])/6 - (143*d[7])/24 + (65*d[8])/24 - (65*d[9])/24 + 
       (35*d[10])/12 - (37*d[11])/12 - (7*d[12])/12 - d[13]/3 + (7*d[14])/3 - 
       8*d[16] + (4*d[19])/3 + (43*d[20])/48 + (4*d[21])/3 - (71*d[23])/48 - 
       (299*d[24])/24 + (2*d[27])/3 + (4*d[33])/3 - (4*d[34])/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((-14*d[5])/9 + (15*d[7])/16 - (25*d[8])/16 + (25*d[9])/16 + 
       (5*d[10])/6 + (5*d[11])/24 - (7*d[12])/48 - d[13]/12 - (29*d[14])/18 + 
       (3*d[20])/4 + (11*d[23])/12 + (19*d[24])/6)*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - u] + (d[3] + (5*d[4])/3 - (5*d[5])/6 + (2*d[6])/3 + 
       (11*d[7])/6 + (17*d[8])/6 - 5*d[9] + (7*d[10])/2 - (21*d[11])/2 - 
       4*d[12] + d[13] + (19*d[15])/3 + (11*d[16])/3 - 7*d[17] + 23*d[18] - 
       (19*d[19])/3 - (7*d[20])/6 - (31*d[21])/3 - (19*d[22])/3 - d[23]/2 + 
       (59*d[24])/12 - (8*d[27])/3 + d[29]/2 + d[35]/2 - 3*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (2*d[2] + (3*d[5])/2 + d[6] + (151*d[7])/12 + (229*d[8])/12 - 
       (247*d[9])/12 + (11*d[10])/6 + (2*d[11])/3 - (5*d[12])/6 - 5*d[13] + 
       2*d[14] - 5*d[16] + d[17]/2 - d[18]/2 + (5*d[19])/2 - (47*d[20])/12 + 
       2*d[21] + d[22]/2 + (13*d[23])/3 - (47*d[24])/6 + d[27]/2 - d[28]/2 - 
       2*d[30] + 3*d[33] - 2*d[34])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u] + ((-8*d[2])/3 - (16*d[5])/3 - (31*d[7])/6 + 
       (37*d[8])/6 - (53*d[9])/6 + d[10] - (11*d[11])/3 + (17*d[12])/6 + 
       (5*d[13])/3 - 7*d[16] + d[19] - d[20] + (8*d[21])/3 - (2*d[22])/3 - 
       (29*d[23])/6 - 18*d[24] + (2*d[27])/3 + d[28]/3 + (4*d[30])/3 + 
       (8*d[33])/3 - (8*d[34])/3)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u] + (-d[3] + (16*d[4])/9 - (35*d[5])/9 - d[6]/72 - 
       (91*d[7])/36 + (53*d[8])/36 - (67*d[9])/12 + 3*d[10] - (29*d[11])/6 - 
       (31*d[12])/12 + d[13] + d[14] - (247*d[15])/36 - (56*d[16])/9 - 
       d[17]/6 + (11*d[18])/6 + (319*d[19])/36 + (35*d[20])/9 + 
       (277*d[21])/36 + (247*d[22])/36 - (15*d[23])/2 - (2741*d[24])/144 + 
       (2*d[27])/9 + d[29]/2 + 2*d[33] - 2*d[34] + d[35]/2 + 3*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((23*d[7])/9 + (32*d[8])/9 - (41*d[9])/9 - (79*d[10])/36 + 
       (13*d[11])/9 + (22*d[12])/9 + 2*d[13] - (2*d[14])/3 + (283*d[20])/72 + 
       (127*d[23])/72 - (32*d[24])/9)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u] + ((-4*d[2])/3 + (22*d[5])/3 - (49*d[7])/24 - 
       (107*d[8])/72 - (109*d[9])/72 - (29*d[10])/18 - (11*d[11])/36 - 
       (25*d[12])/72 + (2*d[13])/3 + 3*d[14] + (9*d[16])/2 - (14*d[19])/9 - 
       (7*d[20])/36 - (8*d[21])/9 - (2*d[22])/3 - (7*d[23])/36 + 
       (83*d[24])/18 - d[27]/9 - (8*d[33])/9 + (8*d[34])/9)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((2*d[2])/3 - d[3] + 2*d[4] - (13*d[5])/6 - (61*d[6])/24 + (5*d[7])/12 - 
       (31*d[8])/12 - (17*d[9])/4 - (29*d[10])/6 + (4*d[11])/3 + 
       (31*d[12])/12 + (4*d[13])/3 + (8*d[14])/3 - (37*d[15])/12 + 
       (34*d[16])/3 - (13*d[17])/6 + (7*d[18])/2 - (7*d[19])/12 - 
       (7*d[20])/4 + (7*d[21])/12 - (5*d[22])/4 - (7*d[23])/4 + 
       (329*d[24])/48 + d[26]/3 - (2*d[27])/3 + d[28]/3 + (2*d[29])/3 + 
       (4*d[30])/3 - (2*d[31])/3 - d[32]/3 + (2*d[33])/3 + (2*d[35])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (-d[5] - (43*d[7])/12 - (19*d[8])/12 - (29*d[9])/12 + 7*d[10] - 
       (5*d[11])/2 - (13*d[12])/6 - (4*d[13])/3 - 2*d[14] - 4*d[16] + 
       (2*d[19])/3 + (37*d[20])/8 + (2*d[21])/3 + (37*d[23])/24 - 
       (25*d[24])/12 + d[27]/3 - d[28]/3 - (4*d[30])/3 + (2*d[33])/3 - 
       (2*d[34])/3)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + ((4*d[2])/3 + (29*d[5])/6 + (13*d[7])/24 - 
       (13*d[8])/8 - (25*d[9])/24 - (2*d[10])/3 - (13*d[11])/12 - d[12]/8 - 
       (5*d[13])/6 - d[14]/3 + (7*d[16])/6 - d[19] + d[20]/2 - d[21]/3 - 
       (2*d[22])/3 + d[23]/2 - (5*d[24])/3 - d[27]/6 - d[33]/3 + d[34]/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((-5*d[2])/2 + d[5]/2 - d[7]/2 - d[8]/2 - (3*d[9])/2 - d[10]/2 - d[11] - 
       2*d[16] + d[19] - 4*d[24])*HPL[{0, 0, 1}, 1 - u]^2 + 
     ((-8*d[4])/9 + (5*d[5])/18 - (145*d[6])/72 - (55*d[7])/144 - 
       (55*d[8])/144 + (5*d[9])/48 + (55*d[11])/24 + (37*d[12])/24 + 
       (199*d[15])/72 - (5*d[16])/9 - d[17]/3 - (8*d[18])/3 - 
       (199*d[19])/72 - (403*d[20])/144 - (199*d[21])/72 - (127*d[22])/72 + 
       (125*d[23])/48 + (1967*d[24])/288 + (5*d[27])/9)*HPL[{1}, 1 - u]^3*
      HPL[{0, 0, 1}, 1 - v] + (2*d[4] - 4*d[5] + (5*d[6])/4 - (137*d[7])/18 - 
       (29*d[8])/18 + (65*d[9])/18 + (44*d[10])/9 - (17*d[11])/9 + 
       (11*d[12])/18 - d[13] + (7*d[14])/12 - 9*d[16] - 3*d[17] + 
       (5*d[18])/2 + 2*d[19] - (197*d[20])/72 - d[21] - d[22] + 
       (151*d[23])/72 - (62*d[24])/9 - d[27] + 2*d[33] - 2*d[34])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((8*d[4])/3 - (4*d[5])/3 + (5*d[6])/3 + (31*d[7])/3 + (31*d[8])/3 - 
       9*d[9] + 6*d[10] - (29*d[11])/2 - 6*d[12] + d[13] - d[14] + 
       (31*d[15])/3 + (8*d[16])/3 + d[17] + 16*d[18] - (31*d[19])/3 + 
       (22*d[20])/3 - (43*d[21])/3 - (31*d[22])/3 + 2*d[23] + (73*d[24])/6 - 
       (8*d[27])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((13*d[7])/3 + (13*d[8])/3 - (13*d[9])/3 - (20*d[10])/3 + (26*d[11])/3 + 
       (26*d[12])/3 + 2*d[14] - (103*d[20])/6 - (31*d[23])/6 + (11*d[24])/3)*
      HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v] + 
     (d[4]/3 + d[5]/6 - d[6]/2 + (33*d[7])/16 - (223*d[8])/144 + 
       (319*d[9])/144 + (19*d[10])/18 - (319*d[11])/72 - (38*d[12])/9 + 
       (5*d[13])/24 - d[14]/2 - (13*d[15])/6 + (13*d[16])/3 - (31*d[17])/6 + 
       (79*d[18])/6 + (29*d[19])/18 + (161*d[20])/144 + (7*d[21])/9 + 
       d[22]/2 + (121*d[23])/72 + (323*d[24])/72 + d[26]/3 - (29*d[27])/18 - 
       (5*d[33])/9 + (5*d[34])/9)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + ((-2*d[3])/3 + (2*d[5])/3 - d[6]/3 + 
       (22*d[7])/3 + (38*d[8])/3 - (38*d[9])/3 - (20*d[10])/3 - 
       (14*d[11])/3 - (5*d[12])/6 - (7*d[13])/3 + 4*d[14] + (4*d[15])/3 + 
       (4*d[16])/3 + 2*d[17] - (14*d[18])/3 - (4*d[19])/3 - (5*d[20])/6 - 
       (10*d[21])/3 - (4*d[22])/3 - (14*d[23])/3 - (83*d[24])/6 + 
       (2*d[26])/3 - (2*d[35])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (-4*d[5] - (23*d[7])/4 + (187*d[8])/12 - (187*d[9])/12 + (7*d[10])/3 - 
       (35*d[11])/6 + (5*d[12])/3 + d[13] - 16*d[16] + (8*d[19])/3 - 
       (131*d[20])/12 + (8*d[21])/3 - (20*d[23])/3 - (118*d[24])/3 + 
       (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((-2*d[2])/3 - (8*d[4])/9 - (31*d[5])/18 - (13*d[6])/72 - 
       (409*d[7])/144 + (839*d[8])/144 - (293*d[9])/48 + (7*d[10])/6 + 
       d[11]/24 - (53*d[12])/24 + d[13] + d[14]/6 + (91*d[15])/72 - 
       (80*d[16])/9 + (4*d[17])/3 - (8*d[18])/3 - (31*d[19])/72 + 
       (311*d[20])/144 + (89*d[21])/72 - (151*d[22])/72 + (27*d[23])/16 - 
       (3205*d[24])/288 + d[25]/6 - d[26]/6 + (11*d[27])/9 + (4*d[33])/3 - 
       (4*d[34])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     (-d[2] + 2*d[4] - 4*d[5] - (97*d[7])/36 - (79*d[8])/36 + (151*d[9])/36 + 
       (107*d[10])/9 - (49*d[11])/18 + (77*d[12])/18 + d[13] - 
       (29*d[14])/12 + 3*d[15] - 10*d[16] - d[19] + (113*d[20])/36 - 
       4*d[21] - 3*d[22] - (205*d[23])/36 + (47*d[24])/18 - d[27] + 2*d[33] - 
       2*d[34])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     (d[1]/6 + (7*d[2])/6 + (5*d[5])/6 + (15*d[7])/16 - (265*d[8])/144 + 
       (265*d[9])/144 - (35*d[10])/18 + (35*d[11])/72 + (23*d[12])/72 - 
       (9*d[13])/8 + (5*d[14])/6 - (8*d[15])/3 + (10*d[16])/3 + d[17] + 
       (19*d[19])/9 + (479*d[20])/144 + (19*d[21])/9 + (8*d[22])/3 - 
       (23*d[23])/18 + d[24]/36 - (5*d[27])/18 - (5*d[33])/9 + (5*d[34])/9)*
      HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v] + 
     (d[3] + (2*d[4])/9 - d[5]/9 - (49*d[6])/36 - (7*d[7])/72 - 
       (79*d[8])/72 + (29*d[9])/24 - (53*d[11])/12 + (37*d[12])/12 - 
       d[14]/2 + (139*d[15])/36 + (49*d[16])/18 + (2*d[17])/3 - (7*d[18])/3 - 
       (157*d[19])/36 - (127*d[20])/72 - (295*d[21])/36 - (121*d[22])/36 + 
       (27*d[23])/8 + (707*d[24])/144 + d[26] - (2*d[27])/9 + d[32]/2 - 
       d[34] - d[35]/2 - 3*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v] + (-5*d[5] - (5*d[7])/9 + (67*d[8])/9 - 
       (58*d[9])/9 - (109*d[10])/18 - (71*d[11])/18 + (37*d[12])/18 - 
       2*d[13] - d[14]/3 - (5*d[15])/2 - (3*d[16])/2 + d[17] - 7*d[18] + 
       (5*d[19])/2 - (109*d[20])/18 + (7*d[22])/2 - (221*d[23])/36 - 
       (1087*d[24])/36 + d[26]/2 - d[33] + d[34] - d[35]/2)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((-8*d[2])/3 + (10*d[3])/3 - 2*d[4] + (5*d[5])/3 + d[6]/6 + (5*d[7])/8 + 
       (77*d[8])/72 + (91*d[9])/72 + (34*d[10])/9 - (127*d[11])/36 + 
       (67*d[12])/18 + (73*d[13])/12 - (2*d[14])/3 + d[15] - (11*d[16])/3 + 
       (4*d[17])/3 - (4*d[18])/3 - (16*d[19])/9 + (335*d[20])/72 - 
       (4*d[21])/9 - (10*d[22])/3 + (49*d[23])/36 + (101*d[24])/9 + 
       (2*d[25])/3 - d[26]/3 - (2*d[27])/9 - (4*d[31])/3 - (2*d[32])/3 + 
       (14*d[33])/9 - (2*d[34])/9 - d[35]/3 - 6*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (-d[3] + (8*d[4])/3 - (4*d[5])/3 + (2*d[6])/3 + d[7]/3 + (10*d[8])/3 - 
       2*d[9] - 11*d[11] - 2*d[12] - (3*d[14])/2 + (28*d[15])/3 + 
       (13*d[16])/6 - 7*d[17] + 23*d[18] - (53*d[19])/6 - (41*d[20])/12 - 
       (40*d[21])/3 - (53*d[22])/6 + 3*d[23] + (67*d[24])/6 - (8*d[27])/3 - 
       d[32]/2 + d[34] - d[35]/2 + 3*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((37*d[7])/3 + (37*d[8])/3 - (37*d[9])/3 - (14*d[10])/3 + (2*d[11])/3 + 
       (2*d[12])/3 + 2*d[14] - (7*d[20])/6 + (17*d[23])/6 - (13*d[24])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (-d[3] + d[4] - 4*d[5] - 6*d[7] + (28*d[8])/3 - (22*d[9])/3 + 
       (17*d[10])/6 - (25*d[11])/3 + d[12]/6 + d[13] - 6*d[15] - 16*d[16] + 
       (26*d[19])/3 + (55*d[20])/12 + (26*d[21])/3 + 6*d[22] - (26*d[23])/3 - 
       (463*d[24])/12 + d[25]/2 + (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3 - 
       d[35]/2 + 3*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + ((-2*d[2])/3 + (2*d[3])/3 - (34*d[4])/9 - 
       (10*d[5])/9 - (25*d[6])/36 + (203*d[7])/72 + (467*d[8])/72 - 
       (89*d[9])/24 - (7*d[11])/12 + (31*d[12])/12 - (2*d[13])/3 - 
       (7*d[14])/3 - (17*d[15])/36 - (16*d[16])/9 - d[17]/3 + (23*d[18])/3 + 
       (5*d[19])/36 + (185*d[20])/72 + (149*d[21])/36 - (187*d[22])/36 + 
       (157*d[23])/24 + (59*d[24])/144 - (17*d[27])/9 - (2*d[31])/3 - 
       d[32]/3 + 2*d[33] - 2*d[34] - d[35]/3 - 6*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (4*d[3] + d[4] + d[5] - d[6]/2 + (95*d[7])/18 + (77*d[8])/18 - 
       (59*d[9])/18 + (89*d[10])/18 - (137*d[11])/18 - (155*d[12])/18 - 
       (7*d[14])/3 + d[15]/2 + d[16]/2 + 6*d[17] - 3*d[18] - (3*d[19])/2 + 
       (13*d[20])/9 - 4*d[21] - d[22]/2 - (83*d[23])/9 + (19*d[24])/18 + 
       d[26]/2 + d[32] - d[33] + d[34] - d[35]/2)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (d[2] + d[3] - d[4] - d[5]/3 - d[6] - (9*d[7])/8 - d[8]/72 - 
       (143*d[9])/72 - (13*d[10])/18 - (61*d[11])/36 + (149*d[12])/36 - 
       (5*d[13])/4 + (5*d[14])/3 + 7*d[15] + (2*d[16])/3 - (61*d[19])/9 - 
       (349*d[20])/72 - (88*d[21])/9 - 7*d[22] - (31*d[23])/18 + 
       (50*d[24])/9 + d[25]/2 + d[26] + d[27]/9 + (2*d[33])/9 - (2*d[34])/9 - 
       d[35]/2 - 3*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + (d[3] - d[4] - d[7] - d[8] + 3*d[9] - d[10]/2 - 
       3*d[11] + d[12] - d[23] - 2*d[24] + d[25]/2 - d[35]/2 - 3*d[36])*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((25*d[3])/18 + d[6]/16 - (5*d[7])/48 - (5*d[8])/48 + (5*d[9])/48 - 
       (31*d[10])/18 + (5*d[11])/8 - d[12]/2 - d[15]/2 + d[17]/4 - 
       (23*d[18])/12 + d[19]/2 - (23*d[20])/48 + d[21]/2 + d[22]/2 + 
       (5*d[23])/16 - (9*d[24])/8)*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - w] + 
     ((-3*d[3])/2 + (4*d[4])/3 - (2*d[5])/3 + (5*d[6])/6 + (35*d[7])/24 + 
       (35*d[8])/24 - (19*d[9])/24 + (35*d[10])/12 - (77*d[11])/12 - 
       (41*d[12])/12 - (5*d[14])/4 + (8*d[15])/3 + (4*d[16])/3 - 2*d[17] + 
       10*d[18] - (8*d[19])/3 + (115*d[20])/48 - (14*d[21])/3 - (8*d[22])/3 - 
       (61*d[23])/48 + (19*d[24])/8 - (4*d[27])/3)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     ((-5*d[4])/18 + (5*d[5])/36 - (25*d[6])/144 + (787*d[7])/144 + 
       (787*d[8])/144 - (269*d[9])/48 - (35*d[10])/12 + (127*d[11])/24 + 
       (61*d[12])/12 + 2*d[14] - (8*d[15])/9 - (5*d[16])/18 + (5*d[17])/12 - 
       (15*d[18])/4 + (8*d[19])/9 - (737*d[20])/144 + (47*d[21])/36 + 
       (8*d[22])/9 + (11*d[23])/48 - (361*d[24])/144 + (5*d[27])/18)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-295*d[7])/72 - (295*d[8])/72 + (295*d[9])/72 + (25*d[10])/36 + 
       (5*d[11])/36 + (5*d[12])/36 - (7*d[14])/12 - (503*d[20])/144 - 
       (311*d[23])/144 + (139*d[24])/72)*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - w] + ((-2*d[3])/3 - (5*d[4])/3 + (25*d[5])/12 - 
       (11*d[6])/12 - (5*d[7])/8 - (85*d[8])/24 + (65*d[9])/24 - 
       (8*d[10])/3 + 3*d[11] - (57*d[12])/16 - (25*d[13])/24 + (7*d[14])/6 - 
       (11*d[15])/2 + (10*d[16])/3 - d[17]/6 + (13*d[18])/6 + (14*d[19])/3 + 
       (63*d[20])/16 + (35*d[21])/6 + (41*d[22])/6 + (17*d[23])/6 + 
       (113*d[24])/24 + (5*d[27])/4 - (5*d[33])/6 + (5*d[34])/6)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((8*d[4])/3 - (10*d[5])/3 + (5*d[6])/3 - (25*d[7])/6 + (9*d[8])/2 - 
       (19*d[9])/6 - (8*d[10])/3 - (23*d[11])/3 - (3*d[12])/2 + d[13] - 
       (2*d[14])/3 + 4*d[15] - (16*d[16])/3 - 2*d[17] + (14*d[18])/3 - 
       (8*d[19])/3 - (49*d[20])/12 - 6*d[21] - (14*d[22])/3 - d[23]/3 - 
       (89*d[24])/12 - 2*d[27] + (4*d[33])/3 - (4*d[34])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((5*d[5])/12 + (259*d[7])/24 + (587*d[8])/72 - (587*d[9])/72 + 
       (53*d[10])/18 - (19*d[11])/9 - (265*d[12])/144 + d[13]/8 - 
       (5*d[14])/6 - 8*d[15] + (5*d[16])/3 + 3*d[17] + (139*d[19])/18 + 
       (1405*d[20])/144 + (139*d[21])/18 + 8*d[22] - (427*d[23])/72 - 
       (517*d[24])/36 - (5*d[27])/36 - (5*d[33])/18 + (5*d[34])/18)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (d[4]/3 - (7*d[5])/6 + (4*d[6])/3 + (5*d[7])/3 + (7*d[9])/6 + 
       (29*d[10])/6 - (35*d[11])/6 - (5*d[12])/6 + (4*d[13])/3 - d[14]/2 + 
       (9*d[15])/2 - (19*d[16])/6 - 4*d[17] + (62*d[18])/3 - (23*d[19])/6 - 
       (47*d[20])/24 - (16*d[21])/3 - (7*d[22])/2 - (43*d[23])/12 + 
       (153*d[24])/8 - d[33]/3 + d[34]/3 + d[35]/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     (-2*d[5] - d[6] + (79*d[7])/12 + (61*d[8])/4 - (57*d[9])/4 - 
       (9*d[10])/2 - d[11]/2 + 4*d[12] - d[13] + 4*d[14] + 3*d[15] - 
       6*d[16] - (5*d[19])/3 - (9*d[20])/4 - (14*d[21])/3 - 3*d[22] - 
       (15*d[23])/4 - (31*d[24])/2 + d[26] + (2*d[27])/3 + (4*d[33])/3 - 
       (4*d[34])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     (-4*d[5] - (25*d[7])/12 + (37*d[8])/4 - (37*d[9])/4 + (16*d[10])/3 - 
       (23*d[11])/6 + d[12]/3 + d[13] - 16*d[16] + (8*d[19])/3 - 
       (7*d[20])/6 + (8*d[21])/3 - (17*d[23])/6 - (49*d[24])/2 + 
       (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3)*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - w] + ((4*d[3])/3 - d[4]/3 + d[5]/6 + (5*d[6])/8 + 
       (11*d[7])/24 + (11*d[8])/24 - (5*d[9])/8 - (13*d[10])/6 - 
       (13*d[11])/12 - (13*d[12])/3 - d[14]/3 - (5*d[15])/6 - d[16]/3 - 
       (5*d[17])/3 + (14*d[18])/3 + (11*d[19])/6 - (35*d[20])/24 + 
       (2*d[21])/3 + (19*d[22])/6 - (7*d[23])/8 - (5*d[24])/6 + d[27]/3 + 
       d[32]/3 + d[34]/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + ((2*d[4])/3 - d[5]/3 + d[6] + (67*d[7])/12 + 
       (67*d[8])/12 - (21*d[9])/4 - d[10]/6 - (17*d[11])/6 - (7*d[12])/2 - 
       (11*d[14])/6 - (5*d[15])/6 + (2*d[16])/3 - (5*d[17])/2 + 
       (11*d[18])/6 + (4*d[19])/3 + (57*d[20])/8 + d[21]/3 + (4*d[22])/3 + 
       (71*d[23])/24 - (109*d[24])/12 - (2*d[27])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     ((4*d[3])/3 - 2*d[4] - (5*d[5])/2 - d[6]/2 + (13*d[7])/12 - 
       (41*d[8])/12 - (7*d[9])/12 - 5*d[10] - (4*d[11])/3 - (11*d[12])/24 + 
       (43*d[13])/12 + (8*d[14])/3 - d[15] - d[16]/3 + (4*d[17])/3 - 
       (4*d[18])/3 - d[19]/3 + (125*d[20])/24 + d[21] - (4*d[22])/3 + 
       (7*d[23])/6 + (41*d[24])/4 + (2*d[26])/3 + (11*d[27])/6 - 
       (4*d[31])/3 - (2*d[32])/3 + d[33] + d[34]/3 + (2*d[35])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     ((-8*d[3])/3 + (4*d[4])/9 - (2*d[5])/9 + (11*d[6])/72 - (29*d[7])/72 - 
       (77*d[8])/72 - d[9]/24 - (2*d[10])/3 + (37*d[11])/12 + (17*d[12])/6 - 
       (5*d[14])/3 - (58*d[15])/9 - (7*d[16])/18 - d[17] + (95*d[19])/18 + 
       (559*d[20])/72 + (131*d[21])/18 + (71*d[22])/18 - (25*d[23])/24 - 
       (367*d[24])/72 + (14*d[27])/9)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + ((-127*d[7])/36 - (127*d[8])/36 + 
       (127*d[9])/36 - (71*d[10])/18 + (28*d[11])/9 + (37*d[12])/9 - 
       (5*d[14])/3 + (9*d[15])/4 + (5*d[17])/4 + (3*d[18])/4 - (5*d[19])/2 - 
       (1121*d[20])/72 - (5*d[21])/2 - (5*d[22])/2 - (551*d[23])/72 + 
       (67*d[24])/9)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + (-d[3] + 3*d[4] - (8*d[5])/3 + (11*d[7])/4 + 
       (41*d[8])/36 - (59*d[9])/36 - (41*d[10])/18 - (37*d[11])/18 + 
       (395*d[12])/72 + (5*d[13])/4 - (5*d[14])/3 + 5*d[15] - (8*d[16])/3 - 
       (38*d[19])/9 - (209*d[20])/72 - (65*d[21])/9 - 5*d[22] - 
       (163*d[23])/36 + (241*d[24])/36 - (29*d[27])/18 + (7*d[33])/9 - 
       (7*d[34])/9 + d[35]/2 + 3*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + ((8*d[3])/3 - (5*d[5])/3 + 5*d[6] + 
       (7*d[7])/3 + (5*d[8])/3 - (5*d[9])/3 + (4*d[10])/3 - d[11] + 
       (8*d[12])/3 - d[14]/3 + (14*d[15])/3 + 2*d[16] - (22*d[17])/3 + 
       (70*d[18])/3 - 4*d[19] - (2*d[20])/3 - (23*d[21])/3 - (22*d[22])/3 + 
       (5*d[23])/6 + (89*d[24])/12 - (5*d[27])/3)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (d[3]/2 - d[4] + (43*d[7])/3 + (89*d[8])/6 - (37*d[9])/3 - 
       (49*d[10])/6 - (10*d[11])/3 + (13*d[12])/6 + d[14]/2 + 4*d[15] + 
       (3*d[16])/2 - (3*d[17])/2 + (5*d[18])/2 - 5*d[19] - (13*d[20])/6 - 
       8*d[21] - 3*d[22] - (31*d[23])/6 - (25*d[24])/3 - (5*d[27])/2 - 
       d[31] - d[32]/2 + d[34])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + (d[3] - d[4] - (7*d[5])/2 - (3*d[7])/2 + 
       (89*d[8])/6 - (40*d[9])/3 + (11*d[10])/6 - (11*d[11])/6 + 
       (19*d[12])/6 + d[13] - 4*d[15] - 16*d[16] + (20*d[19])/3 + 
       (10*d[20])/3 + (20*d[21])/3 + 4*d[22] - (31*d[23])/6 - (221*d[24])/6 + 
       (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3 + d[35]/2 - 3*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((-4*d[3])/3 + (4*d[4])/3 - (2*d[5])/3 - (2*d[6])/3 - (2*d[7])/3 - 
       (4*d[8])/3 - (10*d[9])/3 - (4*d[10])/3 - (4*d[11])/3 - (2*d[12])/3 + 
       (2*d[14])/3 + (2*d[15])/3 + (4*d[16])/3 - (2*d[17])/3 + (4*d[18])/3 - 
       (2*d[19])/3 - (2*d[20])/3 - (2*d[21])/3 - (2*d[22])/3 + (2*d[23])/3 + 
       (10*d[24])/3 + d[29]/3 + (2*d[35])/3 + 4*d[36])*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + (-d[3] - d[6] - 2*d[7] - d[8] + d[9] - d[10] - 
       2*d[11] - (5*d[14])/2 - d[15] + d[16]/2 - d[17] + 2*d[18] + d[19]/2 + 
       (5*d[20])/2 + d[21] + d[22]/2 - 3*d[24] + d[32]/2 - d[34] - d[35]/2 - 
       3*d[36])*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (-d[3] + d[4] + d[6] + d[8] - d[9] - (5*d[10])/2 + (7*d[11])/2 + 
       6*d[12] - (3*d[14])/4 - d[15]/2 - (3*d[17])/2 + (7*d[18])/2 + 
       2*d[19] + (3*d[20])/4 - d[21]/2 + (5*d[22])/2 + (5*d[23])/2 - d[24])*
      HPL[{0, 0, 1}, 1 - w]^2 + (d[6]/6 - (2*d[12])/3 + d[15]/3 + 
       (13*d[17])/3 - 5*d[18] - d[19]/3 + d[21] - d[22] + (4*d[24])/3)*
      HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - u] + 
     (-d[3] + (2*d[4])/3 - d[5]/3 - (5*d[6])/6 + (5*d[7])/6 + (5*d[8])/6 - 
       d[9]/2 + 4*d[10] - 4*d[11] - 4*d[12] + (4*d[15])/3 - (4*d[16])/3 - 
       6*d[17] + 16*d[18] - (4*d[19])/3 + d[20]/3 + (2*d[21])/3 - 
       (4*d[22])/3 - 2*d[23] + (17*d[24])/3 - d[26] - (2*d[27])/3)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((19*d[4])/18 - (19*d[5])/36 + (95*d[6])/144 + (83*d[7])/72 - 
       (133*d[8])/72 + (19*d[9])/8 - (23*d[10])/12 + (9*d[11])/2 + 
       (39*d[12])/8 + d[14] + (209*d[15])/72 + (19*d[16])/18 - 
       (19*d[17])/12 + (95*d[18])/12 - (209*d[19])/72 - (565*d[20])/18 - 
       (323*d[21])/72 - (209*d[22])/72 - (85*d[23])/6 + (3223*d[24])/288 - 
       (19*d[27])/18)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u] + ((323*d[7])/72 + (323*d[8])/72 - 
       (323*d[9])/72 - (95*d[10])/36 + (95*d[11])/36 + (95*d[12])/36 - 
       (5*d[14])/6 - (2207*d[20])/144 - (833*d[23])/144 - (161*d[24])/72)*
      HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u] + 
     (d[2]/3 - (2*d[4])/3 + d[5]/3 - (7*d[6])/6 - d[7]/12 - d[8]/12 - 
       d[9]/4 + 5*d[10] - d[11]/6 + (55*d[12])/12 + d[15]/3 - (2*d[16])/3 + 
       (5*d[17])/6 + (13*d[18])/3 - (2*d[19])/3 + (73*d[20])/12 + 
       (11*d[21])/6 - (5*d[22])/3 - (11*d[23])/12 + (25*d[24])/4 + 
       (2*d[27])/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((2*d[2])/3 + (2*d[4])/3 - (4*d[5])/3 + (2*d[6])/3 - (55*d[7])/6 - 
       (5*d[8])/6 + (7*d[9])/6 - (7*d[10])/3 + 9*d[11] + (43*d[12])/3 + 
       (14*d[14])/3 + (7*d[15])/3 - (10*d[16])/3 + 4*d[17] - 14*d[18] - 
       (5*d[19])/3 - (35*d[20])/6 - (8*d[21])/3 - (7*d[22])/3 - 8*d[23] - 
       (34*d[24])/3 - d[27]/3 + (2*d[33])/3 - (2*d[34])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (d[2] - (35*d[5])/12 - (529*d[7])/48 - (467*d[8])/144 + (539*d[9])/144 + 
       (349*d[10])/36 - (401*d[11])/72 - (469*d[12])/144 + d[13]/6 - 
       (13*d[14])/6 - (33*d[16])/4 + d[17]/6 - d[18]/6 + (11*d[19])/9 - 
       (1549*d[20])/72 + (25*d[21])/18 - d[22]/6 - (1105*d[23])/72 - 
       (299*d[24])/18 + (11*d[27])/18 + (25*d[33])/18 - (25*d[34])/18)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (-d[2]/3 + d[4]/2 - (9*d[5])/4 + (33*d[6])/16 + d[7]/24 + 
       (113*d[8])/24 - (107*d[9])/24 + (29*d[10])/4 - 5*d[11] + 
       (107*d[12])/24 + (5*d[13])/2 - (5*d[14])/3 + (167*d[15])/24 - 
       (35*d[16])/6 + (9*d[17])/4 + (65*d[18])/12 - (45*d[19])/8 - 
       (79*d[20])/24 - (71*d[21])/8 - (167*d[22])/24 - (89*d[23])/24 - 
       (97*d[24])/32 + (5*d[26])/6 + d[27]/6 + (4*d[33])/3 - (4*d[34])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((-2*d[2])/3 + (8*d[3])/3 - (4*d[5])/3 + (8*d[6])/3 + (281*d[7])/24 - 
       (119*d[8])/24 + (71*d[9])/24 - (181*d[10])/12 - (41*d[11])/12 - 
       (7*d[12])/4 + d[13] + (2*d[14])/3 + (14*d[15])/3 + (59*d[16])/3 + 
       (2*d[17])/3 + (2*d[18])/3 - (26*d[19])/3 - (31*d[20])/16 - 
       (34*d[21])/3 - 8*d[22] - (95*d[23])/48 + (745*d[24])/24 + 
       (4*d[26])/3 - (7*d[27])/3 + d[28]/3 + (4*d[30])/3 - (4*d[31])/3 - 
       (2*d[32])/3 - (2*d[33])/3 + 2*d[34] - 4*d[36])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((-29*d[2])/27 - (47*d[5])/36 + d[6]/9 - (95*d[7])/48 + (647*d[8])/144 - 
       (71*d[9])/16 + (137*d[10])/36 - (7*d[11])/8 + (127*d[12])/144 + 
       (7*d[13])/4 - (13*d[14])/6 - (311*d[16])/36 + d[17]/18 - d[18]/18 + 
       (25*d[19])/18 - (11*d[20])/4 + (13*d[21])/9 - d[22]/18 - 
       (49*d[23])/12 - (487*d[24])/36 + (29*d[27])/36 + (13*d[33])/9 - 
       (13*d[34])/9)*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u] + 
     (-2*d[3] + (4*d[4])/3 - (2*d[5])/3 - (7*d[6])/6 - (5*d[7])/6 - 
       (5*d[8])/6 + (3*d[9])/2 + 5*d[10] - (19*d[11])/2 - 4*d[12] + 
       (23*d[15])/3 + (4*d[16])/3 - (9*d[17])/2 + 18*d[18] - (20*d[19])/3 - 
       (17*d[20])/6 - (61*d[21])/6 - (26*d[22])/3 + (27*d[23])/4 + 
       (443*d[24])/24 - (4*d[27])/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (4*d[2] - 8*d[3] + 2*d[4] + (7*d[5])/2 + 
       (61*d[7])/6 + (139*d[8])/6 - (127*d[9])/6 - (17*d[10])/6 + 
       (5*d[11])/6 - (20*d[12])/3 - 4*d[13] + 9*d[14] - d[15]/2 - 
       (45*d[16])/2 + (29*d[17])/2 - (11*d[18])/2 + (13*d[19])/2 - 
       (65*d[20])/6 + 10*d[21] + (19*d[22])/2 - (85*d[23])/12 - 
       (233*d[24])/12 - 2*d[26] + 5*d[27] + 4*d[31] + 2*d[32] - 3*d[33] - 
       d[34] + 12*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (-d[2]/3 - 2*d[3] + 6*d[4] - 4*d[5] - 7*d[6] - 
       7*d[7] + (35*d[8])/2 - (35*d[9])/3 + (56*d[10])/3 - 22*d[11] + 
       (65*d[12])/12 + (13*d[13])/6 - (4*d[14])/3 + (8*d[15])/3 - 26*d[16] + 
       (11*d[17])/3 + d[18]/3 + (19*d[19])/3 - (19*d[20])/4 - (43*d[21])/3 + 
       (17*d[22])/3 - (161*d[23])/12 - (112*d[24])/3 + 2*d[26] - 
       (3*d[27])/2 + d[28]/3 + d[29]/6 + (4*d[30])/3 - (2*d[31])/3 - 
       d[32]/3 + d[33]/3 + d[34]/3 - d[35]/3 + 8*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (-2*d[3] - (23*d[4])/9 + (23*d[5])/18 - (349*d[6])/72 - (151*d[7])/36 - 
       (151*d[8])/36 + (35*d[9])/12 + (17*d[10])/2 + (67*d[11])/6 + 
       (119*d[12])/12 + (431*d[15])/36 - (23*d[16])/9 + d[17]/3 - 
       (103*d[18])/6 - (467*d[19])/36 - (43*d[20])/9 - (347*d[21])/36 - 
       (431*d[22])/36 + (79*d[23])/4 + (4645*d[24])/144 + (23*d[27])/9)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (4*d[2] + 8*d[3] - 7*d[4] - (21*d[5])/2 - d[6]/2 - (1021*d[7])/36 - 
       (1327*d[8])/36 + (949*d[9])/36 - (101*d[10])/18 + (10*d[11])/9 + 
       (19*d[12])/9 + 21*d[13] - (11*d[14])/3 + 4*d[15] + d[16]/2 - 
       (3*d[17])/2 - (29*d[18])/2 - 8*d[19] - (1079*d[20])/72 + 3*d[21] - 
       15*d[22] - (335*d[23])/72 + (271*d[24])/9 + (3*d[27])/2 - 4*d[31] - 
       2*d[32] + 7*d[33] - 3*d[34] - 12*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (-d[2]/3 - (2*d[3])/3 + (14*d[4])/3 + 2*d[5] + (2*d[6])/3 + 
       (53*d[7])/8 - (479*d[8])/72 + (191*d[9])/72 + (17*d[10])/9 - 
       (35*d[11])/36 + (437*d[12])/72 + (23*d[13])/6 - (19*d[14])/3 + 
       (16*d[15])/3 + (11*d[16])/2 + (14*d[17])/3 - (2*d[18])/3 - 
       (50*d[19])/9 - (76*d[20])/9 - (110*d[21])/9 - (14*d[22])/3 + 
       (61*d[23])/18 + (325*d[24])/9 - (59*d[27])/18 - d[29]/2 - 
       (2*d[31])/3 - d[32]/3 - (8*d[33])/9 + (14*d[34])/9 + (2*d[35])/3 + 
       4*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((-2*d[2])/3 - (7*d[3])/3 + (17*d[5])/6 - (29*d[6])/24 - (23*d[7])/4 - 
       (37*d[8])/12 + (9*d[9])/4 - (13*d[10])/2 + (10*d[11])/3 - 
       (19*d[12])/4 + (4*d[13])/3 - (2*d[14])/3 + (13*d[15])/12 - 
       (20*d[16])/3 + (31*d[17])/6 - (91*d[18])/6 - (13*d[19])/12 - 
       (4*d[20])/3 + (19*d[21])/4 - (29*d[22])/12 + (13*d[23])/2 + 
       (137*d[24])/16 - d[26]/3 + 3*d[27] + (4*d[31])/3 + (2*d[32])/3 - 
       (4*d[33])/3 + 4*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + ((2*d[4])/3 - d[6] + (17*d[7])/4 + 
       (59*d[8])/12 - (47*d[9])/12 + (19*d[10])/2 - (47*d[11])/6 - 
       (17*d[12])/6 - (19*d[14])/3 + (17*d[15])/3 + (2*d[16])/3 + 4*d[17] + 
       (10*d[18])/3 - 6*d[19] + (193*d[20])/24 - (22*d[21])/3 - 6*d[22] - 
       (109*d[23])/24 + (61*d[24])/12 - d[27] + d[32]/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((-2*d[2])/3 - (2*d[3])/3 + (2*d[4])/3 + (14*d[5])/3 + (73*d[7])/24 - 
       (187*d[8])/24 + (119*d[9])/24 - (65*d[10])/6 + (5*d[11])/12 + 
       (9*d[12])/8 - (17*d[13])/3 + d[14]/3 + (10*d[15])/3 + (109*d[16])/6 + 
       (14*d[17])/3 - (2*d[18])/3 - (17*d[19])/3 - (59*d[20])/6 - 
       (37*d[21])/3 - (8*d[22])/3 - (19*d[23])/4 + (401*d[24])/12 + 2*d[26] - 
       d[27]/2 - d[29]/2 - (2*d[31])/3 - d[32]/3 - 3*d[33] + (11*d[34])/3 - 
       (4*d[35])/3 + 4*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + (4*d[3] - 2*d[4] - 10*d[5] + d[7] - 7*d[8] + 
       13*d[9] - 8*d[10] - d[11]/2 + 2*d[13] - 4*d[14] - 7*d[15] + 
       (11*d[16])/2 + (15*d[17])/2 - (35*d[18])/2 + 3*d[19] + (13*d[20])/2 + 
       5*d[22] - 3*d[23] + 17*d[24] + d[26] - 2*d[27] - d[29] - 4*d[31] - 
       2*d[32] - 2*d[33] + 6*d[34] - d[35])*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (2*d[2] - 2*d[4] - 7*d[5] - d[6] + 3*d[7] + 
       2*d[8] - 8*d[9] - (11*d[10])/2 - 2*d[11] - 7*d[12] + 10*d[13] - 
       d[14] + 3*d[15] - 3*d[16] - 2*d[17] - 2*d[18] - 2*d[19] + 12*d[20] + 
       d[21] - 10*d[22] + 2*d[23] - 2*d[24] + d[26] - d[27] - 2*d[31] - 
       2*d[32] + 4*d[33] + d[34] + d[35] + 6*d[36])*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + ((-4*d[3])/3 - (2*d[4])/3 + d[5] - 
       (14*d[6])/3 - (13*d[7])/3 - 4*d[8] + 4*d[9] + (13*d[10])/3 + 4*d[11] + 
       2*d[12] + 2*d[14] - 2*d[15] - (4*d[16])/3 + (5*d[17])/3 - 
       (16*d[18])/3 + d[19]/3 - (11*d[20])/6 + (5*d[21])/3 + d[22]/3 - 
       3*d[23] + (5*d[24])/2 + d[27])*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + (-4*d[3] + (9*d[4])/2 + 3*d[5] - d[6] - 
       (7*d[7])/4 + (17*d[8])/4 - (5*d[9])/4 + 7*d[10] - (19*d[11])/4 + 
       d[12] - 4*d[13] + d[14] + d[15]/2 - 6*d[16] + d[17]/4 + (31*d[18])/4 + 
       (7*d[19])/2 - (15*d[20])/2 - (7*d[21])/2 + (11*d[22])/2 - 
       (35*d[24])/4 - d[26]/2 + 2*d[31] + d[32] - 2*d[33] + 6*d[36])*
      HPL[{0, 1, 1}, 1 - u]^2 + ((-2*d[3])/3 + (7*d[4])/9 - (7*d[5])/18 + 
       (23*d[6])/72 + (113*d[7])/144 + (113*d[8])/144 - (19*d[9])/48 + 
       2*d[10] - (65*d[11])/24 - (21*d[12])/8 - (137*d[15])/72 + 
       (7*d[16])/9 + (3*d[17])/2 + (11*d[18])/6 + (137*d[19])/72 + 
       (149*d[20])/144 + (149*d[21])/72 + (89*d[22])/72 - (203*d[23])/48 - 
       (1993*d[24])/288 - (7*d[27])/9)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1, 1}, 1 - v] + (3*d[5] - d[6]/2 + (245*d[7])/36 + 
       (29*d[8])/36 - (65*d[9])/36 - (71*d[10])/18 - d[11]/18 - d[12]/18 + 
       d[13] + (7*d[14])/12 + 3*d[15] + 11*d[16] - 3*d[17] + 9*d[18] - 
       5*d[19] - (329*d[20])/72 - 5*d[21] - 3*d[22] - (161*d[23])/72 + 
       (94*d[24])/9 - d[27] - 2*d[33] + 2*d[34])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (-d[7]/2 - d[8]/2 + d[9]/2 - 3*d[10] + 5*d[11] + 5*d[12] - d[13] + 
       d[14] - (71*d[20])/4 - (31*d[23])/4 + (9*d[24])/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v] + 
     (-d[4] - (2*d[5])/3 + (23*d[6])/12 - (145*d[7])/48 + (293*d[8])/144 - 
       (365*d[9])/144 - (71*d[10])/18 + (341*d[11])/72 + (319*d[12])/36 + 
       (29*d[13])/24 - (7*d[14])/6 + (5*d[15])/6 - (17*d[16])/3 + 
       (37*d[17])/6 - 15*d[18] - d[19]/18 + (755*d[20])/144 + (25*d[21])/9 - 
       (3*d[22])/2 - (161*d[23])/72 - (521*d[24])/36 + (25*d[27])/18 + 
       (7*d[33])/9 - (7*d[34])/9)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + ((2*d[3])/3 - (2*d[5])/3 - d[6]/2 - 
       (43*d[7])/3 - (31*d[8])/3 + (31*d[9])/3 + (40*d[10])/3 - 
       (10*d[11])/3 - (17*d[12])/6 + (7*d[13])/3 - 5*d[14] + 4*d[15] - 
       (10*d[17])/3 + (38*d[18])/3 - 4*d[19] - (119*d[20])/12 - 4*d[21] - 
       4*d[22] - (139*d[23])/12 + (31*d[24])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((13*d[7])/2 + (13*d[8])/2 - (13*d[9])/2 - 3*d[10] + 3*d[11] + 3*d[12] + 
       d[14]/2 + (33*d[20])/4 + (15*d[23])/4 - (5*d[24])/2)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (-d[2]/9 + (10*d[4])/9 + (10*d[5])/9 - d[6]/72 + (695*d[7])/144 - 
       (1009*d[8])/144 + (129*d[9])/16 - (5*d[10])/3 - (47*d[11])/24 + 
       (41*d[12])/24 + (23*d[13])/6 + (4*d[14])/3 - (125*d[15])/72 + 
       (64*d[16])/9 - (31*d[17])/6 + (85*d[18])/6 + (53*d[19])/72 - 
       (1375*d[20])/144 - (55*d[21])/72 + (149*d[22])/72 - (443*d[23])/48 + 
       (6287*d[24])/288 - (23*d[27])/18 + d[28]/2 + (2*d[30])/3 - d[33] + 
       d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     (-2*d[4] + d[5] + (85*d[7])/18 + (193*d[8])/18 - (211*d[9])/18 - 
       (89*d[10])/18 + (19*d[11])/9 - (35*d[12])/9 + 2*d[13] + 
       (25*d[14])/12 - 3*d[15] - 2*d[16] + 3*d[19] + (109*d[20])/18 + 
       6*d[21] + 3*d[22] + (157*d[23])/18 - (158*d[24])/9 + 2*d[27])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     (-d[2]/9 - (2*d[5])/3 - (25*d[7])/16 + (623*d[8])/144 - (623*d[9])/144 + 
       (13*d[10])/18 - (85*d[11])/72 - (73*d[12])/72 - (5*d[13])/8 + 
       (23*d[14])/6 + (8*d[15])/3 - (14*d[16])/3 - d[17] - (17*d[19])/9 - 
       (61*d[20])/144 - (17*d[21])/9 - (8*d[22])/3 + (35*d[23])/9 - 
       (209*d[24])/36 + (7*d[27])/18 + (7*d[33])/9 - (7*d[34])/9)*
      HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v] + 
     ((-4*d[4])/9 + (2*d[5])/9 - (127*d[6])/36 - (283*d[7])/72 - 
       (283*d[8])/72 + (89*d[9])/24 - (17*d[10])/2 + (7*d[11])/12 - 
       (89*d[12])/12 + d[14] - (323*d[15])/36 - (4*d[16])/9 - (11*d[17])/6 - 
       (7*d[18])/3 + (323*d[19])/36 - (7*d[20])/72 + (347*d[21])/36 + 
       (323*d[22])/36 - (51*d[23])/8 - (1531*d[24])/144 + (4*d[27])/9)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (3*d[5] + (47*d[7])/18 + (47*d[8])/18 - (47*d[9])/18 + (101*d[10])/18 - 
       (10*d[11])/9 - (10*d[12])/9 + 2*d[13] - (17*d[14])/6 + (10*d[20])/9 - 
       (85*d[23])/18 - (91*d[24])/9)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + ((-8*d[3])/3 + (4*d[4])/3 + (23*d[5])/3 + 
       (35*d[7])/24 - (535*d[8])/72 + (751*d[9])/72 - (143*d[10])/9 + 
       (305*d[11])/36 - (91*d[12])/36 - (53*d[13])/12 + (17*d[14])/3 - 
       d[15] + (76*d[16])/3 + d[17]/3 + (5*d[18])/3 - (25*d[19])/9 - 
       (427*d[20])/72 - (34*d[21])/9 + 4*d[22] + (10*d[23])/9 + 
       (229*d[24])/18 - (17*d[27])/9 + (2*d[28])/3 + (8*d[30])/3 + 
       (4*d[31])/3 + (2*d[32])/3 - (58*d[33])/9 + (46*d[34])/9 + 4*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     ((4*d[4])/3 - (2*d[5])/3 - (7*d[6])/6 - (5*d[7])/6 - (5*d[8])/6 + 
       (3*d[9])/2 - 8*d[10] - (9*d[11])/2 - 5*d[12] - (41*d[15])/6 + 
       (4*d[16])/3 - (13*d[17])/2 + 20*d[18] + (41*d[19])/6 + (95*d[20])/12 + 
       (29*d[21])/6 + (41*d[22])/6 - (29*d[23])/4 - (187*d[24])/24 - 
       (4*d[27])/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + ((79*d[7])/6 + (79*d[8])/6 - (79*d[9])/6 - 
       (7*d[10])/3 - (5*d[11])/3 - (5*d[12])/3 + d[14] + (71*d[20])/12 + 
       (59*d[23])/12 - (43*d[24])/6)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + (-2*d[5] - (7*d[7])/2 + (37*d[8])/6 - 
       (37*d[9])/6 - (10*d[10])/3 + d[11]/3 + (13*d[12])/12 - (11*d[13])/2 + 
       2*d[14] + 2*d[15] - 8*d[16] - (2*d[19])/3 - d[20]/3 - (2*d[21])/3 - 
       2*d[22] - (19*d[23])/12 - (41*d[24])/12 + (2*d[27])/3 - d[28]/2 + 
       2*d[30] + (4*d[33])/3 - (4*d[34])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     ((2*d[2])/3 - 2*d[3] - (34*d[4])/9 + (53*d[5])/9 - (181*d[6])/36 - 
       (481*d[7])/72 - (481*d[8])/72 + (163*d[9])/24 + 4*d[10] + 
       (35*d[11])/4 + (31*d[12])/12 + (4*d[13])/3 + (10*d[14])/3 - 
       (347*d[15])/36 - (31*d[16])/9 + (4*d[17])/3 - (62*d[18])/3 + 
       (383*d[19])/36 - (619*d[20])/72 + (539*d[21])/36 + (455*d[22])/36 + 
       (35*d[23])/24 - (1243*d[24])/144 + (40*d[27])/9 + (4*d[31])/3 + 
       d[32]/3 - 2*d[33] + (2*d[34])/3 + 4*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (-2*d[3] - (194*d[7])/9 - (194*d[8])/9 + (194*d[9])/9 + (47*d[10])/18 + 
       (29*d[11])/9 + (29*d[12])/9 + (25*d[14])/6 - 2*d[17] - 2*d[18] + 
       (121*d[20])/36 - (83*d[23])/36 + (313*d[24])/18)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((2*d[5])/3 + (35*d[7])/8 - (565*d[8])/72 + (493*d[9])/72 + 
       (89*d[10])/18 + (167*d[11])/36 - (7*d[12])/9 - (3*d[13])/4 - 
       (13*d[14])/3 - 8*d[15] + (8*d[16])/3 + (68*d[19])/9 + (401*d[20])/72 + 
       (68*d[21])/9 + 8*d[22] - (65*d[23])/36 + (7*d[24])/18 - (2*d[27])/9 - 
       d[28]/2 + 2*d[30] - (4*d[33])/9 + (4*d[34])/9)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (-2*d[7] - 2*d[8] + 3*d[9] + (3*d[10])/2 + d[11] + 4*d[13] - 
       (9*d[24])/2 + d[28]/2 + 2*d[30])*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + (-d[6] - d[7] - d[8] + d[9] + (9*d[10])/2 + 
       2*d[11] - d[12] + 3*d[14] - d[15] - (3*d[17])/2 - 2*d[18] + d[19] - 
       (13*d[20])/4 + d[21] + d[22] + (5*d[23])/2 + (19*d[24])/4)*
      HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (-2*d[2] - 8*d[3] + 6*d[4] + (23*d[5])/2 + (13*d[6])/2 + d[7] + 
       11*d[8] - 2*d[9] + 8*d[10] + 5*d[11] + 8*d[12] - 12*d[13] + 4*d[15] - 
       5*d[16] + 6*d[17] + 7*d[18] + d[19] - (35*d[20])/2 - 8*d[21] + 
       7*d[22] - 4*d[23] - (43*d[24])/2 + 4*d[31] + 2*d[32] - 6*d[33] + 
       2*d[34] + 12*d[36])*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     ((-7*d[3])/9 + (7*d[4])/6 - (25*d[5])/36 + (197*d[6])/144 + 
       (157*d[7])/144 + (85*d[8])/144 - (49*d[9])/144 + (11*d[10])/9 - 
       (33*d[11])/8 - (29*d[12])/9 + (2*d[13])/3 - d[14] + (22*d[15])/9 + 
       (79*d[16])/36 - (43*d[17])/12 + (329*d[18])/36 - (85*d[19])/36 + 
       (97*d[20])/48 - (11*d[21])/3 - (13*d[22])/4 + (197*d[23])/144 + 
       (37*d[24])/8 - (3*d[27])/2 - d[31]/9 - d[32]/36 + d[34]/9)*
      HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - w] + 
     (3*d[3] - 5*d[4] - (14*d[5])/3 - (19*d[6])/6 + (211*d[7])/24 + 
       (275*d[8])/24 - (331*d[9])/24 - (23*d[10])/12 + (83*d[11])/12 + 
       (25*d[12])/4 - (4*d[13])/3 + (17*d[14])/12 - 8*d[15] - (31*d[16])/3 + 
       (14*d[17])/3 - 18*d[18] + (23*d[19])/3 + (77*d[20])/16 + 
       (35*d[21])/3 + 5*d[22] + (67*d[23])/48 - (257*d[24])/24 + d[26]/3 + 
       3*d[27] - (4*d[31])/3 - (2*d[32])/3 + (10*d[33])/3 - 2*d[34] - 
       4*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((2*d[3])/3 + (11*d[4])/9 - (17*d[5])/18 + (71*d[6])/144 - 
       (1841*d[7])/144 - (1817*d[8])/144 + (607*d[9])/48 + (27*d[10])/4 - 
       (83*d[11])/8 - (27*d[12])/4 + 2*d[14] + (17*d[15])/18 + 
       (53*d[16])/36 - (11*d[17])/12 + (91*d[18])/12 - (31*d[19])/36 + 
       (4603*d[20])/144 - (157*d[21])/36 + (5*d[22])/36 + (523*d[23])/48 + 
       (1547*d[24])/144 - (41*d[27])/36 + d[32]/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w] + 
     ((113*d[7])/72 + (113*d[8])/72 - (113*d[9])/72 - (95*d[10])/36 + 
       (125*d[11])/36 + (125*d[12])/36 + (23*d[14])/12 + (601*d[20])/144 + 
       (433*d[23])/144 + (235*d[24])/72)*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - w] + ((4*d[4])/3 - (17*d[5])/12 - (5*d[6])/6 - 
       (17*d[7])/24 + (121*d[8])/24 - (35*d[9])/8 + (2*d[10])/3 - 
       (20*d[11])/3 - (45*d[12])/16 - d[13]/24 + d[14]/2 + (53*d[15])/6 + 
       (25*d[17])/6 + 3*d[18] - (25*d[19])/3 - (101*d[20])/48 - 
       (23*d[21])/2 - (19*d[22])/2 - d[23]/12 + (119*d[24])/12 + 
       (5*d[26])/6 - (13*d[27])/12 + d[33]/2 - d[34]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((2*d[4])/3 - (4*d[5])/3 - (5*d[6])/6 + (53*d[7])/6 + (19*d[8])/6 - 
       (3*d[9])/2 + (35*d[10])/3 + 5*d[11] + 7*d[12] - (4*d[13])/3 + 
       (8*d[14])/3 - (14*d[15])/3 - (8*d[16])/3 - 6*d[17] + (34*d[18])/3 + 
       (16*d[19])/3 - (79*d[20])/3 + (11*d[21])/3 + (16*d[22])/3 - 
       (143*d[23])/6 - (35*d[24])/12 - d[27]/3 - (8*d[30])/3 + (2*d[33])/3 - 
       (2*d[34])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((-19*d[5])/12 - (241*d[7])/24 - 
       (289*d[8])/72 + (289*d[9])/72 - (67*d[10])/18 + (95*d[11])/9 + 
       (1631*d[12])/144 + (21*d[13])/8 + (49*d[14])/6 + 8*d[15] - 
       (19*d[16])/3 - 3*d[17] - (125*d[19])/18 + (49*d[20])/144 - 
       (125*d[21])/18 - 8*d[22] + (857*d[23])/72 + (497*d[24])/36 + 
       (19*d[27])/36 + (19*d[33])/18 - (19*d[34])/18)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((-20*d[2])/9 + d[5] + d[6]/12 - (19*d[7])/12 + (25*d[8])/12 - 
       (25*d[9])/12 - (10*d[10])/3 - d[11]/6 + 3*d[12] - d[13]/3 + d[14]/2 + 
       d[15] + 4*d[16] - (5*d[17])/3 + (13*d[18])/3 - (5*d[19])/3 - 
       (23*d[20])/8 - (5*d[21])/3 - d[22] - (77*d[23])/24 + (61*d[24])/24 - 
       d[27]/3 - (2*d[33])/3 + (2*d[34])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w] + (-d[5]/2 + d[6] - (5*d[7])/2 + (23*d[8])/6 - 
       (23*d[9])/6 + (13*d[10])/3 - d[11]/3 - (23*d[12])/6 + 4*d[13] - 
       (5*d[14])/2 - 3*d[15] - 6*d[16] + (11*d[19])/3 - (5*d[20])/3 + 
       (20*d[21])/3 + 3*d[22] + (16*d[23])/3 - (52*d[24])/3 - d[26] + 
       d[27]/3 + (2*d[33])/3 - (2*d[34])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w] + ((3*d[12])/2 + (7*d[14])/6 - d[20]/2 - 
       (5*d[23])/12 + (2*d[24])/3)*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w] + 
     ((-14*d[3])/3 - 3*d[4] + d[5] - (55*d[6])/8 - (145*d[7])/24 - 
       (43*d[8])/8 + (27*d[9])/8 + (16*d[10])/3 + (39*d[11])/4 + 
       (59*d[12])/6 - d[13] + (8*d[14])/3 - (13*d[15])/3 - (8*d[16])/3 + 
       (23*d[17])/6 - (119*d[18])/6 + (9*d[19])/2 - (7*d[20])/8 + 
       (9*d[21])/2 + (31*d[22])/6 + (109*d[23])/24 + (113*d[24])/24 + 
       2*d[26] + (8*d[27])/3 - d[28]/3 - d[29]/3 - (4*d[30])/3 + 
       (2*d[31])/3 + (7*d[32])/6 - (4*d[33])/3 + (2*d[34])/3 - (4*d[35])/3 + 
       4*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (-d[5]/3 - (229*d[7])/12 - (31*d[8])/4 + (51*d[9])/4 - d[10]/2 + 
       (5*d[11])/6 + (29*d[12])/6 - (20*d[13])/3 + (23*d[14])/6 - 4*d[16] + 
       d[19] - (151*d[20])/24 + (2*d[21])/3 + d[22]/3 - (203*d[23])/24 - 
       (51*d[24])/4 + d[27]/3 - (2*d[28])/3 - (8*d[30])/3 + (2*d[33])/3 - 
       (2*d[34])/3)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w] + ((-10*d[2])/3 - (8*d[3])/3 + (8*d[4])/3 + 
       (7*d[5])/6 + (2*d[6])/3 + (5*d[7])/4 - (49*d[8])/4 + (139*d[9])/12 + 
       (7*d[10])/3 + 2*d[11] - (49*d[12])/24 - (35*d[13])/12 - 7*d[14] - 
       d[15] + (38*d[16])/3 + d[17]/3 + (5*d[18])/3 - (2*d[19])/3 - 
       (79*d[20])/24 - (5*d[21])/3 + 4*d[22] + (15*d[23])/4 + (139*d[24])/6 - 
       (2*d[26])/3 - (7*d[27])/6 - d[28]/3 - (4*d[30])/3 + (4*d[31])/3 + 
       (2*d[32])/3 - (13*d[33])/3 + 3*d[34] + 4*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (-3*d[3] - (55*d[4])/18 - (91*d[5])/18 - (181*d[6])/72 - (41*d[7])/72 + 
       (847*d[8])/72 - (71*d[9])/8 - (7*d[10])/6 - (11*d[11])/12 + d[12] + 
       (17*d[13])/3 + (11*d[14])/3 - (25*d[15])/9 - (355*d[16])/18 + 
       (37*d[17])/6 - (49*d[18])/6 + (137*d[19])/18 - (503*d[20])/72 + 
       (100*d[21])/9 + (59*d[22])/18 - (71*d[23])/24 - (158*d[24])/9 + 
       (43*d[27])/18 + d[28]/3 + d[29]/3 - (4*d[30])/3 + 2*d[31] + d[32]/6 + 
       4*d[33] - 6*d[34] + (2*d[35])/3 + 4*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (7*d[3] - 6*d[4] - 10*d[5] - d[6] + (443*d[7])/36 - (43*d[8])/36 - 
       (227*d[9])/36 + (134*d[10])/9 + (275*d[11])/18 - (2*d[12])/9 - 
       14*d[13] - (55*d[14])/6 + (17*d[15])/2 + 8*d[16] - (15*d[17])/2 + 
       (37*d[18])/2 - (29*d[19])/2 + (2539*d[20])/72 - 6*d[21] - 
       (37*d[22])/2 + (1651*d[23])/72 + (2425*d[24])/36 - (5*d[27])/2 - 
       (3*d[28])/2 + 6*d[30] - 4*d[31] - 2*d[32] + 5*d[33] - d[34] - 
       12*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (d[2] + (65*d[5])/6 + (3*d[7])/4 - (253*d[8])/36 + (289*d[9])/36 - 
       (58*d[10])/9 + (37*d[11])/9 - (151*d[12])/72 + (7*d[13])/4 + 
       (25*d[14])/3 - 8*d[15] + (46*d[16])/3 + (49*d[19])/9 + 
       (211*d[20])/72 + (49*d[21])/9 + 8*d[22] - (40*d[23])/9 - 
       (43*d[24])/18 - (23*d[27])/18 + d[28]/2 - 2*d[30] - (23*d[33])/9 + 
       (23*d[34])/9)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + ((-20*d[3])/3 + (34*d[4])/3 - (8*d[5])/3 + 
       (5*d[6])/6 + (11*d[7])/6 + (125*d[8])/6 - (59*d[9])/6 + (83*d[10])/6 - 
       (38*d[11])/3 + (31*d[12])/6 + 6*d[13] + 9*d[15] - (85*d[16])/6 + 
       (13*d[17])/6 + (83*d[18])/6 - (17*d[19])/6 - (73*d[20])/12 - 
       (39*d[21])/2 - (43*d[22])/6 - (23*d[23])/4 - (683*d[24])/24 + 
       2*d[26] - 3*d[27] + d[28]/3 + d[29]/3 - (4*d[30])/3 + (7*d[31])/3 + 
       (7*d[32])/6 + (10*d[33])/3 - (17*d[34])/3 - d[35]/3 + 8*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (3*d[2] - 5*d[3] + 8*d[4] + 11*d[5] + d[6]/2 + (91*d[7])/6 + 
       (109*d[8])/6 - (103*d[9])/6 - (185*d[10])/6 - (14*d[11])/3 - 
       (14*d[12])/3 - 7*d[13] - (7*d[15])/2 + (25*d[16])/2 + 3*d[17] + 
       d[18] + 4*d[19] - (109*d[20])/12 - d[21] + 11*d[22] + (11*d[23])/12 - 
       (26*d[24])/3 - d[26]/2 - 3*d[27] - (3*d[28])/2 + 6*d[30] + 4*d[31] + 
       2*d[32] - 8*d[33] + 4*d[34] + 12*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (-2*d[2] + 5*d[5] - (9*d[7])/2 + (32*d[8])/3 - (32*d[9])/3 + 
       (14*d[10])/3 + d[11]/3 + (13*d[12])/12 + (13*d[13])/2 + 2*d[14] + 
       2*d[15] - 8*d[16] - (2*d[19])/3 - d[20]/3 - (2*d[21])/3 - 2*d[22] - 
       (19*d[23])/12 - (281*d[24])/12 + (2*d[27])/3 + d[28]/2 - 2*d[30] + 
       (4*d[33])/3 - (4*d[34])/3)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((4*d[2])/3 - 3*d[5] + d[7]/3 - (8*d[8])/3 + 
       (29*d[9])/3 - 4*d[10] + (14*d[11])/3 + (2*d[12])/3 - (10*d[13])/3 + 
       2*d[14] + 7*d[16] - d[19] + (2*d[20])/3 - (4*d[21])/3 + d[22]/3 + 
       (2*d[23])/3 + 11*d[24] - (2*d[27])/3 - d[28]/3 - (4*d[30])/3 - 
       (4*d[33])/3 + (4*d[34])/3)*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w] + (-2*d[2] - d[3] + (3*d[4])/2 - 6*d[5] + 
       11*d[7] + 13*d[8] - 12*d[9] + (5*d[10])/2 + 3*d[11] - 2*d[12] - 
       d[15] - (15*d[16])/2 + 12*d[18] + (17*d[20])/2 + 3*d[21] - 4*d[22] - 
       3*d[23] + (5*d[24])/2 - d[25] - d[27] - d[32]/2 + 4*d[33] - 4*d[34] + 
       d[35] + 6*d[36])*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (-d[3] + 4*d[4] - 5*d[5] + 6*d[6] - (7*d[7])/2 - 7*d[8] + (7*d[9])/2 + 
       8*d[10] - d[11] + 2*d[12] + 4*d[15] - 4*d[16] + 5*d[17] - d[18] - 
       7*d[19] - 6*d[21] - 9*d[22] + (47*d[24])/2 + (5*d[27])/2 + d[31] + 
       d[32] + 4*d[33] - 6*d[34] - d[35])*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + (4*d[3] - (4*d[4])/3 - (8*d[5])/3 + 
       (7*d[6])/3 + (19*d[7])/3 + 9*d[8] - (14*d[9])/3 - 2*d[10] + 2*d[11] + 
       d[12] + 10*d[13] + 2*d[14] + (2*d[15])/3 + d[16]/3 + (20*d[17])/3 + 
       (4*d[18])/3 - (2*d[19])/3 + d[20]/6 - 2*d[21] - (8*d[22])/3 + 
       (37*d[23])/6 + (71*d[24])/6 - (2*d[27])/3 + (2*d[28])/3 + d[29]/3 + 
       (8*d[30])/3 - (4*d[31])/3 - (2*d[32])/3 + 2*d[33] - (2*d[34])/3 + 
       (8*d[35])/3 - 8*d[36])*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (-10*d[3] + (17*d[4])/2 + 11*d[5] - 6*d[7] - 6*d[8] + 15*d[9] - 
       6*d[10] - 13*d[11] + (5*d[12])/2 + 18*d[13] + 6*d[14] + 5*d[15] - 
       2*d[16] + 5*d[17] - 15*d[18] - 12*d[20] - 10*d[21] + 6*d[22] - d[23] - 
       (25*d[24])/2 + d[27] + 2*d[28] - 4*d[30] + 4*d[31] + 2*d[32] - 
       6*d[33] + 2*d[34] + 12*d[36])*HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + ((-7*d[2])/3 - 4*d[3] + 4*d[4] + (11*d[5])/2 - 
       (7*d[7])/2 + 7*d[8] - 4*d[9] + d[10] - (7*d[11])/2 - 2*d[12] + 
       2*d[13] - d[14]/2 + d[15]/2 - 6*d[16] + (3*d[17])/2 - (9*d[18])/2 + 
       (5*d[19])/2 - (3*d[20])/2 - d[21] + (7*d[22])/2 - (3*d[23])/2 - 
       (75*d[24])/4 + 2*d[30] + 2*d[31] + d[32] - 2*d[33] + 6*d[36])*
      HPL[{0, 1, 1}, 1 - w]^2 + ((8*d[4])/3 - (4*d[5])/3 + (5*d[6])/3 + 
       (7*d[7])/3 + (7*d[8])/3 - d[9] + 2*d[10] - 8*d[11] - 5*d[12] + 
       (13*d[15])/3 + (8*d[16])/3 - 4*d[17] + 16*d[18] - (13*d[19])/3 - 
       (7*d[20])/6 - (25*d[21])/3 - (13*d[22])/3 - (3*d[23])/2 + 
       (59*d[24])/12 - (8*d[27])/3)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1}, 1 - u] + ((2*d[4])/3 - d[5]/3 + (2*d[6])/3 + 
       (44*d[7])/3 + (38*d[8])/3 - (37*d[9])/3 - (29*d[10])/3 - d[11]/3 + 
       (5*d[12])/3 + 2*d[14] + (4*d[15])/3 + (2*d[16])/3 + 4*d[18] - 
       (4*d[19])/3 - d[20]/3 - (7*d[21])/3 - (4*d[22])/3 - (2*d[23])/3 - 
       (23*d[24])/12 - (2*d[27])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u] + ((7*d[7])/3 + (7*d[8])/3 - (7*d[9])/3 - 
       (2*d[10])/3 + (8*d[11])/3 + (8*d[12])/3 + (3*d[13])/2 - (25*d[20])/6 - 
       (7*d[23])/6 - (11*d[24])/6)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - u] + ((16*d[2])/3 - (2*d[4])/3 - (2*d[5])/3 - 
       (2*d[6])/3 - (13*d[7])/3 + 6*d[8] - (19*d[9])/3 + (7*d[10])/3 - 
       (4*d[11])/3 + (19*d[12])/6 + d[13] + (5*d[15])/3 - (22*d[16])/3 - 
       d[19] + (3*d[20])/2 - (5*d[22])/3 - (7*d[23])/6 - (76*d[24])/3 + 
       d[27] + (2*d[33])/3 - (2*d[34])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u] + ((-4*d[5])/3 - (13*d[7])/3 - d[11] + 
       d[12]/2 - (5*d[13])/3 + 4*d[14] - 4*d[16] + (2*d[19])/3 - 
       (15*d[20])/2 + (2*d[21])/3 - (7*d[23])/2 - d[24]/3 + d[27]/3 + 
       (2*d[33])/3 - (2*d[34])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u] + ((-16*d[5])/3 + (8*d[8])/3 - (8*d[9])/3 + 
       (14*d[10])/3 - (2*d[11])/3 + (7*d[12])/3 + (5*d[13])/3 - 2*d[14] - 
       8*d[16] + (4*d[19])/3 - (4*d[20])/3 + (4*d[21])/3 - (7*d[23])/3 - 
       (19*d[24])/3 + (2*d[27])/3 + (4*d[33])/3 - (4*d[34])/3)*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u] + 
     (4*d[2] + 4*d[16] - 2*d[19] + 8*d[24])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u] + (-d[2] + 3*d[5] - d[7] - d[8] - 2*d[9] + 
       d[10] - d[11] + d[13] + 3*d[24])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u] + ((10*d[2])/3 + (4*d[5])/3 - 2*d[7] - 
       (2*d[8])/3 - (8*d[9])/3 + (2*d[10])/3 - (2*d[11])/3 - (2*d[13])/3 - 
       (8*d[16])/3 - (22*d[24])/3)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u] + 2*d[10]*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1}, 1 - v] + (2*d[3] + (8*d[4])/3 - (4*d[5])/3 + 
       (5*d[6])/3 + (13*d[7])/3 + (7*d[8])/3 - d[9] + 4*d[10] - 8*d[11] - 
       d[12] + 2*d[14] + (13*d[15])/3 + (8*d[16])/3 - 4*d[17] + 16*d[18] - 
       (13*d[19])/3 + (5*d[20])/6 - (25*d[21])/3 - (13*d[22])/3 - 
       (3*d[23])/2 + (59*d[24])/12 - (8*d[27])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((13*d[7])/3 + (13*d[8])/3 - (13*d[9])/3 - (20*d[10])/3 + (26*d[11])/3 + 
       (26*d[12])/3 + 2*d[14] - (103*d[20])/6 - (31*d[23])/6 + (11*d[24])/3)*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((-4*d[4])/3 - 2*d[10] - 2*d[11] - 3*d[12] + 2*d[13] - 2*d[14] + d[15] + 
       4*d[18] - (7*d[19])/3 - d[20]/2 - d[21] - (19*d[22])/3 - 
       (25*d[23])/6 - d[24]/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v] + (-4*d[5] + 2*d[7] + (52*d[8])/3 - 
       (64*d[9])/3 + (22*d[10])/3 - (16*d[11])/3 - (5*d[12])/6 + d[13] - 
       2*d[14] - 16*d[16] + (8*d[19])/3 + (16*d[20])/3 + (8*d[21])/3 + 
       (13*d[23])/3 - (94*d[24])/3 + (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (2*d[8] - 2*d[9] - 2*d[10] + d[12]/2 - 2*d[13] + 3*d[14] - (3*d[20])/2 - 
       (7*d[23])/2 - 2*d[24])*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-2*d[4] - 2*d[19] - 4*d[22])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v] + (-2*d[19] - 4*d[22] - 4*d[23])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (d[3] + (4*d[4])/3 - (2*d[5])/3 + (7*d[6])/3 + (2*d[7])/3 + (2*d[8])/3 - 
       (13*d[10])/6 - 4*d[11] - 3*d[12] + (5*d[15])/3 + (4*d[16])/3 + 
       4*d[18] - (5*d[19])/3 + d[20]/6 - (11*d[21])/3 - (5*d[22])/3 - 
       (3*d[23])/2 + (25*d[24])/12 - (4*d[27])/3)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1}, 1 - w] + (-3*d[3] + (2*d[4])/3 - d[5]/3 + 
       (2*d[6])/3 + 6*d[7] + 6*d[8] - (17*d[9])/3 + (8*d[10])/3 + d[11]/3 + 
       (10*d[12])/3 + d[15]/3 + (2*d[16])/3 - d[19]/3 + (5*d[20])/2 - 
       (4*d[21])/3 - d[22]/3 + d[23]/6 - 2*d[24] - (2*d[27])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w] + 
     ((-14*d[7])/3 - (14*d[8])/3 + (14*d[9])/3 - (2*d[10])/3 + (14*d[11])/3 + 
       (14*d[12])/3 + 2*d[14] - (32*d[20])/3 - (14*d[23])/3 + (14*d[24])/3)*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - w] + 
     (2*d[4] + (2*d[5])/3 - d[6]/3 + d[7]/3 + 2*d[8] - (5*d[9])/3 - d[10]/3 - 
       10*d[11] - (83*d[12])/6 - d[13] + 2*d[14] + (10*d[15])/3 + 
       (14*d[16])/3 - 4*d[17] + 16*d[18] - (16*d[19])/3 - 2*d[20] - 5*d[21] - 
       (2*d[22])/3 - 5*d[23] + (21*d[24])/4 - d[27] - (2*d[33])/3 + 
       (2*d[34])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + (-d[5] + (28*d[7])/3 + (35*d[8])/3 - 
       (35*d[9])/3 - (10*d[10])/3 + d[11]/3 + (4*d[12])/3 + 2*d[13] - 
       4*d[16] + (2*d[19])/3 - (11*d[20])/6 + (2*d[21])/3 + (37*d[23])/6 - 
       (17*d[24])/3 + d[27]/3 + (2*d[33])/3 - (2*d[34])/3)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (-4*d[5] - 3*d[7] + (31*d[8])/3 - (31*d[9])/3 + (16*d[10])/3 - 
       (10*d[11])/3 + (7*d[12])/6 + d[13] - 16*d[16] + (8*d[19])/3 - 
       (7*d[20])/6 + (8*d[21])/3 - (31*d[23])/6 - (85*d[24])/3 + 
       (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - w] + ((2*d[3])/3 + (4*d[4])/3 + (2*d[6])/3 + 
       (2*d[7])/3 + (2*d[8])/3 - (2*d[9])/3 - (2*d[10])/3 - (10*d[11])/3 - 
       (20*d[12])/3 - d[14]/3 - (2*d[15])/3 - (2*d[17])/3 + (4*d[18])/3 + 
       (8*d[19])/3 + d[20]/3 + (2*d[21])/3 + (14*d[22])/3 + (2*d[23])/3 - 
       (2*d[24])/3)*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (d[6] + d[7] + d[8] - d[9] - 3*d[10] + 3*d[11] + 2*d[12] - (5*d[14])/2 - 
       d[15] - d[17] + 2*d[18] + (5*d[20])/2 + d[21] - d[22] - d[23] - d[24])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (2*d[3] - 2*d[4] + 2*d[7] - 4*d[11] - 8*d[12] - 2*d[19] - 4*d[22] - 
       4*d[23])*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (-2*d[3] - d[6]/2 + (3*d[10])/2 - (11*d[11])/4 - (3*d[12])/2 - 
       (3*d[15])/2 - d[17]/4 + (19*d[18])/4 + d[19] + 2*d[20] + 2*d[21] - 
       d[22]/2 + (5*d[23])/2 + (11*d[24])/4)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + (-2*d[4] + d[5] - d[6] + 4*d[7] + 4*d[8] - 
       5*d[9] - 11*d[10] - 3*d[11] - 9*d[12] + d[14] - (3*d[15])/2 - 
       2*d[16] + (21*d[17])/2 - (11*d[18])/2 + 2*d[19] - (5*d[20])/2 + 
       5*d[21] + 2*d[22] - (17*d[23])/2 + 5*d[24] + 2*d[27])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((33*d[7])/4 + (33*d[8])/4 - (33*d[9])/4 + (11*d[10])/2 - (11*d[11])/2 - 
       (11*d[12])/2 - 4*d[14] + (65*d[20])/4 + (23*d[23])/4 - 11*d[24])*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((-4*d[3])/3 + (2*d[4])/3 - d[5]/3 - 3*d[6] - 2*d[7] - 2*d[8] - 
       (5*d[9])/3 + (25*d[10])/3 - (7*d[11])/3 + (65*d[12])/6 + d[13]/3 - 
       (2*d[14])/3 + (2*d[15])/3 - d[16]/3 + (20*d[17])/3 - 28*d[18] - 
       (4*d[20])/3 - (19*d[21])/3 + (2*d[22])/3 - (23*d[23])/3 - 
       (193*d[24])/12 + 2*d[26] + (2*d[27])/3 - d[29]/3 - (2*d[33])/3 + 
       (2*d[34])/3 - (2*d[35])/3 + 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u] + ((13*d[5])/3 - 24*d[7] - 25*d[8] + 
       (85*d[9])/3 - (38*d[10])/3 + (7*d[11])/3 + (14*d[12])/3 - 8*d[13] + 
       14*d[14] + (35*d[16])/3 - 2*d[19] - (45*d[20])/2 - 2*d[21] - 
       (67*d[23])/6 + (62*d[24])/3 - d[27] - 2*d[33] + 2*d[34])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((-23*d[2])/9 - (14*d[5])/3 + (23*d[7])/6 - (17*d[8])/3 + (17*d[9])/3 + 
       (37*d[10])/3 + d[11] + d[12]/2 + 7*d[13] - 12*d[14] - (49*d[16])/6 + 
       (4*d[19])/3 + (13*d[20])/3 + (4*d[21])/3 + (7*d[23])/2 + 13*d[24] + 
       (5*d[27])/6 + (4*d[33])/3 - (4*d[34])/3)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + (2*d[3] - 2*d[4] + 5*d[5] - d[6] + 2*d[7] - 
       3*d[9] - 6*d[11] - 10*d[12] + 2*d[13] + (21*d[16])/2 - 4*d[17] + 
       6*d[18] + d[19] + 2*d[21] - d[22] + 2*d[23] - (7*d[24])/2 + d[29] + 
       2*d[33] - 2*d[34] + d[35] - 6*d[36])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u] + (-2*d[7] - 2*d[8] + 2*d[9] + d[10] + 
       (9*d[11])/2 + 3*d[12] + 3*d[14] - 4*d[15] + 4*d[19] + (5*d[20])/2 + 
       4*d[21] + 4*d[22] - d[23] - (9*d[24])/2 + d[35])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u] + ((-4*d[3])/3 + (2*d[4])/3 + d[6]/3 - 
       2*d[7] + d[8]/3 - (2*d[9])/3 + 6*d[10] - 4*d[11] - 8*d[12] - 
       (10*d[14])/3 + 3*d[15] - 6*d[16] + (7*d[17])/3 - 3*d[18] - 
       (4*d[19])/3 - (5*d[20])/3 - (10*d[21])/3 - (4*d[22])/3 - (2*d[23])/3 - 
       (5*d[24])/3 + d[26]/3 + d[27]/3 - d[29]/3 - (4*d[35])/3 + 4*d[36])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-2*d[3] - (16*d[4])/3 + (8*d[5])/3 - (29*d[6])/6 - (11*d[7])/3 - 
       (11*d[8])/3 + d[9] + (17*d[10])/2 + (67*d[11])/4 + (27*d[12])/2 - 
       (31*d[15])/6 - (16*d[16])/3 + (17*d[17])/4 - (99*d[18])/4 + 
       (17*d[19])/3 + d[20]/3 + (38*d[21])/3 + (43*d[22])/6 + d[23]/2 - 
       (109*d[24])/12 + (16*d[27])/3)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 1}, 1 - v] + ((-98*d[7])/3 - (98*d[8])/3 + (98*d[9])/3 - 
       (14*d[10])/3 + (2*d[11])/3 - (4*d[12])/3 + 5*d[14] + (3*d[15])/2 - 
       (13*d[17])/2 + (11*d[18])/2 - 2*d[19] - (29*d[20])/3 - 2*d[21] - 
       2*d[22] + d[23]/3 + (209*d[24])/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v] + (7*d[7] + 7*d[8] - 7*d[9] - 2*d[11] - 
       2*d[12] + (13*d[20])/2 + (7*d[23])/2 - 5*d[24])*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - v] + ((8*d[3])/3 - 6*d[5] + (13*d[6])/3 + 
       6*d[7] - (14*d[8])/3 + 8*d[9] - (2*d[10])/3 + (14*d[11])/3 - 
       (41*d[12])/6 + 13*d[13] - (20*d[14])/3 - (4*d[15])/3 - (29*d[16])/3 + 
       4*d[17] - 4*d[18] + (8*d[19])/3 + (11*d[20])/6 + (20*d[21])/3 - 
       (2*d[22])/3 + d[23]/2 + (58*d[24])/3 - 2*d[26] - (4*d[27])/3 + 
       (2*d[28])/3 + d[29]/3 + (10*d[33])/3 - (10*d[34])/3 + (4*d[35])/3 - 
       8*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((31*d[7])/3 + (16*d[8])/3 - (16*d[9])/3 + (77*d[10])/6 - (7*d[11])/3 - 
       (35*d[12])/6 - 9*d[13] - 7*d[14] + (173*d[20])/6 + (35*d[23])/6 + 
       (43*d[24])/6 - d[28])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + ((3*d[2])/2 + (25*d[5])/2 + 3*d[7] - 
       (29*d[8])/3 + (29*d[9])/3 - (121*d[10])/6 + (14*d[11])/3 - 
       (17*d[12])/6 - (7*d[13])/2 + (25*d[14])/2 + 32*d[16] - (16*d[19])/3 - 
       (8*d[20])/3 - (16*d[21])/3 + (11*d[23])/6 + (347*d[24])/12 - 
       (8*d[27])/3 + d[28]/2 - (16*d[33])/3 + (16*d[34])/3)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - v] + (2*d[3] - 3*d[4] - (3*d[5])/2 - d[6]/2 - 
       d[7]/2 - (9*d[8])/2 + 8*d[9] - (5*d[10])/2 + 9*d[11] + 2*d[14] - 
       d[15] + 10*d[16] - d[19] + 5*d[21] - 2*d[22] + (39*d[24])/2 - 
       d[26]/2 + d[27] + d[29]/2 + d[33] - d[34] + d[35] - 6*d[36])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (d[3] - 5*d[4] + d[5]/2 + (3*d[6])/2 + d[7]/2 - 3*d[8] + 4*d[9] - 
       (9*d[10])/2 + 8*d[11] - 2*d[12] + 8*d[13] + 4*d[14] - 2*d[15] + 
       11*d[16] - d[17]/2 + (3*d[18])/2 + d[19]/2 + 2*d[20] + 6*d[21] + 
       d[22]/2 + 4*d[23] + (19*d[24])/2 - d[26]/2 + d[27]/2 + d[28] + 
       d[29]/2 - d[32] + d[35] - 6*d[36])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + (2*d[3] + (4*d[4])/3 - (2*d[5])/3 + 
       (4*d[6])/3 - d[7]/6 - d[8]/6 + (7*d[9])/6 - (79*d[10])/6 - 
       (23*d[11])/6 - (23*d[12])/3 + d[15]/3 + (3*d[16])/2 + (16*d[17])/3 - 
       (17*d[18])/3 + d[19]/3 + (5*d[20])/6 + d[21] - 2*d[22] + d[23]/2 + 
       (7*d[24])/6 - (4*d[27])/3)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 1}, 1 - w] + (-d[3]/3 - 2*d[4] + d[5] - (4*d[6])/3 + 
       (38*d[7])/3 + (38*d[8])/3 - (41*d[9])/3 + 23*d[10] + 7*d[11] + 
       (17*d[12])/3 - 4*d[14] - (25*d[15])/3 - 2*d[16] + (29*d[17])/3 - 
       27*d[18] + (26*d[19])/3 + (97*d[20])/6 + (35*d[21])/3 + (26*d[22])/3 + 
       (29*d[23])/6 - (91*d[24])/4 + 2*d[27] + d[32]/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 
     ((-113*d[7])/4 - (113*d[8])/4 + (113*d[9])/4 + 4*d[10] + 3*d[11] + 
       3*d[12] + (7*d[14])/2 - (59*d[20])/4 - (19*d[23])/2 + (37*d[24])/2)*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     ((-4*d[3])/3 + (4*d[4])/3 + (5*d[5])/3 - (2*d[6])/3 + (2*d[7])/3 + 
       (7*d[8])/3 - (5*d[9])/3 - 2*d[10] - d[11]/3 - 4*d[12] - 2*d[13] + 
       (28*d[14])/3 + (7*d[15])/3 + (35*d[16])/3 + 4*d[18] - (7*d[19])/3 - 
       (19*d[20])/6 - (25*d[21])/3 - (7*d[22])/3 - (13*d[23])/6 - 
       (11*d[24])/12 + 2*d[26] - d[27]/3 + (2*d[28])/3 + d[29]/3 - 
       (2*d[35])/3 + 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + (3*d[5] + 12*d[7] + 2*d[8] - 6*d[9] - 
       (11*d[10])/2 + 4*d[11] + (7*d[12])/2 - 2*d[13] - 9*d[14] + 12*d[16] - 
       2*d[19] - 5*d[20] - 2*d[21] + 2*d[23] + (27*d[24])/2 - d[27] - d[28] - 
       2*d[33] + 2*d[34])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + ((-3*d[2])/2 + (9*d[5])/2 - 2*d[7] + 
       2*d[8] - 2*d[9] - d[10]/2 + 6*d[13] + (5*d[14])/2 + d[20]/2 - d[23] - 
       (35*d[24])/4 + d[28]/2)*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     ((-4*d[3])/3 + 2*d[4] + 2*d[5] - d[6]/3 - (2*d[7])/3 + (2*d[8])/3 + 
       (11*d[9])/3 + (5*d[10])/3 - d[11]/3 - (2*d[12])/3 - (8*d[13])/3 - 
       (2*d[14])/3 - (4*d[15])/3 - d[16] - d[17] - (4*d[18])/3 + 2*d[19] + 
       d[20]/6 - (4*d[21])/3 + (8*d[22])/3 - d[23] - (73*d[24])/6 + d[26]/3 - 
       d[27] - d[28]/3 - d[29]/3 - (4*d[30])/3 - (2*d[33])/3 + (2*d[34])/3 - 
       (4*d[35])/3 + 4*d[36])*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-3*d[6] - d[8]/2 + (3*d[9])/2 + d[10] + 3*d[11] + 5*d[13] + 3*d[14] - 
       d[15] + 5*d[16] - (5*d[17])/2 - d[18] + d[19] - (13*d[20])/4 + d[21] + 
       d[22] + (5*d[23])/2 + (33*d[24])/4 + d[28]/2 + d[29]/2 - 2*d[30] + 
       d[35])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (2*d[3] - 6*d[4] - d[6] + 3*d[7] + 7*d[8] - 4*d[9] + 5*d[11] + 4*d[12] + 
       8*d[13] + d[14] + (11*d[16])/2 - d[17] + 3*d[18] + d[20] + 4*d[21] - 
       d[22] - d[23] - (13*d[24])/2 - d[27] + d[28] + d[29]/2 + d[33] + 
       d[35] - 6*d[36])*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-4*d[4] + 2*d[5] - (5*d[6])/2 - (7*d[7])/2 - (7*d[8])/2 + (3*d[9])/2 - 
       3*d[10] + 12*d[11] + (15*d[12])/2 - (13*d[15])/2 - 4*d[16] + 6*d[17] - 
       24*d[18] + (13*d[19])/2 + (7*d[20])/4 + (25*d[21])/2 + (13*d[22])/2 + 
       (9*d[23])/4 - (59*d[24])/8 + 4*d[27])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1, 1}, 1 - u] + (2*d[3] - 2*d[4] + d[5] - 2*d[6] - 
       (39*d[7])/2 - (39*d[8])/2 + (37*d[9])/2 + 10*d[10] + 5*d[11] - d[12] - 
       3*d[14] - 4*d[15] - 2*d[16] - 12*d[18] + 4*d[19] - (3*d[20])/4 + 
       7*d[21] + 4*d[22] + (13*d[23])/4 - (3*d[24])/4 + 2*d[27])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     ((27*d[5])/8 - (9*d[6])/4 - 7*d[7] - (119*d[8])/8 + (101*d[9])/8 - 
       (73*d[10])/4 - (73*d[11])/8 - (7*d[12])/2 + (9*d[13])/4 - 
       (9*d[14])/4 + (27*d[15])/4 + (45*d[16])/2 + 9*d[17] - 18*d[18] - 
       9*d[19] + (163*d[20])/8 - (45*d[21])/2 - (27*d[22])/4 + (91*d[23])/8 + 
       (31*d[24])/4 + (9*d[26])/2 - (9*d[27])/8 - (9*d[33])/4 + (9*d[34])/4)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     ((2*d[4])/3 + d[5]/2 + 6*d[6] + 7*d[7] - (17*d[8])/2 + (19*d[9])/2 - 
       8*d[10] + d[11]/2 - (27*d[12])/4 - (3*d[13])/2 + d[15] + 8*d[16] + 
       4*d[17] - (2*d[19])/3 - (13*d[20])/4 - 5*d[21] + (5*d[22])/3 - 
       d[23]/4 + (59*d[24])/2 - (5*d[27])/2 - d[33] + d[34])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-2*d[2] + 8*d[3] - 18*d[4] - (25*d[5])/3 + (5*d[6])/3 + 16*d[7] + 
       (19*d[8])/6 - (91*d[9])/6 - (63*d[10])/2 + (15*d[11])/2 - 26*d[12] + 
       35*d[13] - 15*d[14] - 3*d[15] - (25*d[16])/3 + (121*d[17])/6 - 
       (295*d[18])/6 - (7*d[19])/6 + (203*d[20])/2 + (44*d[21])/3 - 
       (59*d[22])/6 + (131*d[23])/2 - (131*d[24])/6 + 5*d[26] + 
       (73*d[27])/6 - 4*d[31] - 2*d[32] + (26*d[33])/3 - (14*d[34])/3 - 
       12*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (2*d[2] + 4*d[3] + d[4] - (47*d[5])/6 + (17*d[6])/6 + (14*d[7])/3 - 
       (23*d[8])/6 - (5*d[9])/6 - (131*d[10])/6 - (85*d[11])/12 - 18*d[12] + 
       10*d[13] + (9*d[14])/2 - (3*d[15])/2 + (83*d[16])/6 + (121*d[17])/12 - 
       (295*d[18])/12 - (43*d[19])/12 + (87*d[20])/2 + (13*d[21])/3 - 
       (59*d[22])/12 + (57*d[23])/2 + (163*d[24])/12 - (5*d[26])/2 - 
       (17*d[27])/6 - 2*d[31] - d[32] + (4*d[33])/3 + (2*d[34])/3 - 6*d[36])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (12*d[3] - (15*d[4])/2 - (39*d[5])/4 + (53*d[6])/4 + (27*d[7])/2 - 
       (9*d[8])/2 - (15*d[9])/4 - (33*d[10])/2 + (7*d[11])/4 + 12*d[13] - 
       (9*d[14])/2 + (7*d[15])/4 + 21*d[16] + (11*d[17])/4 - (51*d[18])/4 - 
       (51*d[19])/4 + (69*d[20])/4 + d[21] - (71*d[22])/4 + (9*d[23])/2 + 
       (129*d[24])/4 + (9*d[26])/4 - (3*d[27])/2 - 6*d[31] - 3*d[32] + 
       6*d[33] - 18*d[36])*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-6*d[2] - 12*d[3] + (11*d[4])/2 + (51*d[5])/2 + (27*d[6])/4 - 
       (3*d[7])/4 + 12*d[8] + (9*d[9])/4 + (39*d[10])/4 + (99*d[11])/4 + 
       12*d[12] - 24*d[13] + (3*d[14])/2 + (15*d[15])/2 - (15*d[16])/4 + 
       (15*d[17])/2 - 3*d[18] + d[19]/4 - (87*d[20])/2 - 9*d[21] + 
       (35*d[22])/4 - 9*d[23] - (51*d[24])/2 + (3*d[26])/4 + (9*d[27])/4 + 
       6*d[31] + 3*d[32] - (21*d[33])/2 + (9*d[34])/2 + 18*d[36])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     ((14*d[4])/3 - (3*d[5])/2 + (9*d[6])/2 + (23*d[7])/6 + (5*d[8])/2 - 
       d[9] - (17*d[10])/2 - 6*d[11] + 4*d[12] + d[15]/2 + 3*d[16] + 
       (31*d[17])/2 - (27*d[18])/2 + (13*d[19])/6 + (5*d[20])/2 - 3*d[21] + 
       (17*d[22])/6 - 5*d[23] - 15*d[24] - 3*d[27])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u] - 6*d[10]*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1, 1}, 1 - v] + (-4*d[4] + 2*d[5] - (5*d[6])/2 - 
       (7*d[7])/2 - (7*d[8])/2 + (3*d[9])/2 - 6*d[10] + 12*d[11] + 
       (3*d[12])/2 - 6*d[14] - (13*d[15])/2 - 4*d[16] + 6*d[17] - 24*d[18] + 
       (13*d[19])/2 - (5*d[20])/4 + (25*d[21])/2 + (13*d[22])/2 + 
       (9*d[23])/4 - (59*d[24])/8 + 4*d[27])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v] + ((-13*d[7])/2 - (13*d[8])/2 + (13*d[9])/2 + 
       10*d[10] - 13*d[11] - 13*d[12] - 3*d[14] + (103*d[20])/4 + 
       (31*d[23])/4 - (11*d[24])/2)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - v] + (8*d[7] + 8*d[8] - 8*d[9] - 2*d[11] + 
       d[12] - 6*d[13] + 6*d[14] - 3*d[15] - 12*d[18] + 3*d[19] + d[20]/2 + 
       3*d[21] + 3*d[22] + (25*d[23])/2 - (35*d[24])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (6*d[5] - (27*d[7])/2 - (73*d[8])/2 + (73*d[9])/2 - 11*d[10] + 
       11*d[11] + (17*d[12])/4 - (3*d[13])/2 + (9*d[14])/2 + 24*d[16] - 
       4*d[19] - (71*d[20])/4 - 4*d[21] - (23*d[23])/4 + (109*d[24])/2 - 
       2*d[27] - 4*d[33] + 4*d[34])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + (-6*d[8] + 6*d[9] + 6*d[10] - (3*d[12])/2 + 
       (21*d[13])/4 - (33*d[14])/4 + (9*d[20])/2 + (9*d[23])/2 + 
       (27*d[24])/4)*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((-3*d[5])/2 + 6*d[7] + 6*d[8] - 6*d[9] - 6*d[10] - 6*d[11] - 6*d[12] + 
       6*d[23] - 6*d[24])*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (6*d[7] + 6*d[8] - 6*d[9] - 6*d[10] - 6*d[11] - 6*d[12] + 6*d[23] - 
       6*d[24])*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-2*d[2] + (17*d[3])/3 - (25*d[4])/4 - (49*d[5])/6 - (19*d[6])/2 + 
       (31*d[7])/3 + (45*d[8])/4 - (97*d[9])/6 + (199*d[10])/12 + 
       (46*d[11])/3 + 5*d[12] - d[13]/2 - (3*d[14])/2 - (73*d[15])/3 - 
       21*d[16] + (47*d[17])/6 - (137*d[18])/6 + (149*d[19])/6 + 
       (19*d[20])/4 + (119*d[21])/3 + (119*d[22])/6 - (13*d[23])/4 - 
       30*d[24] - (5*d[26])/2 + (31*d[27])/12 - (11*d[31])/6 - (5*d[32])/6 + 
       5*d[33] - (19*d[34])/6 - 6*d[36])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1, 1}, 1 - w] + (4*d[2] + (29*d[3])/3 - 3*d[4] + 
       (29*d[5])/6 - (49*d[6])/2 + (115*d[7])/6 - (257*d[8])/6 + 
       (83*d[9])/3 - (128*d[10])/3 + (31*d[11])/6 - 25*d[12] + 3*d[13] + 
       3*d[14] + (31*d[15])/3 + (235*d[16])/3 - (77*d[17])/6 + 
       (149*d[18])/6 - (157*d[19])/6 - 8*d[20] - (98*d[21])/3 - 
       (103*d[22])/6 + (109*d[23])/2 + (566*d[24])/3 + 2*d[26] - 
       (22*d[27])/3 + d[28] + 4*d[30] - (14*d[31])/3 - (13*d[32])/6 - 
       6*d[33] + (32*d[34])/3 - 12*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w] + ((-9*d[4])/4 + (9*d[5])/8 - (9*d[6])/2 + 
       (37*d[7])/2 + (19*d[8])/2 - (85*d[9])/8 - (11*d[10])/8 - 
       (85*d[11])/8 - 5*d[12] - (45*d[13])/4 - (3*d[14])/2 + (81*d[15])/8 + 
       (27*d[16])/4 - (81*d[19])/8 + (283*d[20])/8 - (81*d[21])/4 - 
       (81*d[22])/8 + d[23]/2 + (113*d[24])/8 + (9*d[26])/2 + (9*d[27])/4)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((16*d[2])/3 - d[4] - (5*d[5])/2 + d[6]/2 + d[7] - 4*d[8] + (7*d[9])/2 + 
       (11*d[10])/2 + (13*d[11])/2 + 9*d[12] + 3*d[13] - 6*d[14] - 5*d[15] - 
       13*d[16] + 6*d[17] - 24*d[18] + 7*d[19] + (13*d[20])/4 + 
       (17*d[21])/2 + 5*d[22] + (3*d[23])/4 - (35*d[24])/8 + 2*d[27] + 
       2*d[33] - 2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w] + (3*d[5] - (25*d[7])/2 - (39*d[8])/2 + 
       (39*d[9])/2 - 3*d[12] - (15*d[13])/2 + (9*d[14])/2 + 12*d[16] - 
       2*d[19] + (15*d[20])/4 - 2*d[21] - (9*d[23])/4 + 15*d[24] - d[27] - 
       2*d[33] + 2*d[34])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w] + (6*d[5] + (9*d[7])/2 - (31*d[8])/2 + 
       (31*d[9])/2 - 8*d[10] + 5*d[11] - (7*d[12])/4 - (3*d[13])/2 - 
       (3*d[14])/4 + 24*d[16] - 4*d[19] + (7*d[20])/4 - 4*d[21] + 
       (19*d[23])/4 + (85*d[24])/2 - 2*d[27] - 4*d[33] + 4*d[34])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((11*d[2])/3 - (3*d[5])/2 + (5*d[7])/2 + 6*d[8] - 3*d[9] + 6*d[10] - 
       (3*d[11])/2 + (15*d[12])/2 + 8*d[13] - d[14] - 17*d[16] + 3*d[19] - 
       (15*d[20])/2 + 3*d[21] - 7*d[23] - (13*d[24])/2 + (3*d[27])/2 + 
       d[28] + 4*d[30] + 3*d[33] - 3*d[34])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w] + ((-3*d[2])/2 - 18*d[3] + (25*d[4])/2 + 
       (27*d[5])/2 - 3*d[6] - (75*d[7])/4 - (51*d[8])/2 + (117*d[9])/4 - 
       (69*d[10])/4 - (69*d[11])/4 + (9*d[12])/2 - (3*d[13])/2 + 
       (3*d[14])/2 - (57*d[15])/4 + (33*d[16])/2 + 6*d[17] - 33*d[18] + 
       (75*d[19])/4 - (15*d[20])/2 + (3*d[21])/2 + (129*d[22])/4 - 
       (33*d[23])/2 - (63*d[24])/4 + (9*d[27])/4 + 6*d[31] + 3*d[32] - 
       12*d[33] + 6*d[34] + 18*d[36])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w] + (3*d[2] + 12*d[3] - 12*d[4] - (75*d[5])/4 - 
       (3*d[6])/2 + (43*d[7])/4 - 4*d[8] - 5*d[9] - (9*d[10])/2 + 
       (9*d[11])/2 + 11*d[12] - 6*d[13] - (3*d[14])/2 + (15*d[15])/4 + 
       (33*d[16])/4 - (21*d[17])/4 + (51*d[18])/4 - (21*d[19])/2 - 
       (63*d[20])/4 - 3*d[21] - (27*d[22])/2 - d[23]/2 + 37*d[24] + 
       (3*d[27])/4 - 6*d[31] - 3*d[32] + (15*d[33])/2 - (3*d[34])/2 - 
       18*d[36])*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((8*d[4])/3 - (4*d[5])/3 + (5*d[6])/3 + (7*d[7])/3 + (7*d[8])/3 - d[9] + 
       2*d[10] - 8*d[11] - 3*d[12] + (13*d[15])/3 - (16*d[16])/3 - 4*d[17] + 
       16*d[18] - (13*d[19])/3 - (7*d[20])/6 - (25*d[21])/3 - (13*d[22])/3 - 
       (3*d[23])/2 - (37*d[24])/12 - (8*d[27])/3)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1}, 1 - u] + ((37*d[7])/3 + (37*d[8])/3 - 
       (37*d[9])/3 - (14*d[10])/3 + (2*d[11])/3 + (2*d[12])/3 + 2*d[14] - 
       (7*d[20])/6 + (17*d[23])/6 - (13*d[24])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1}, 1 - u] + ((-44*d[5])/3 - 5*d[7] + (31*d[8])/3 - 
       (31*d[9])/3 + (16*d[10])/3 - (10*d[11])/3 + (7*d[12])/6 + d[13] - 
       16*d[16] + (8*d[19])/3 + (5*d[20])/6 + (8*d[21])/3 - (19*d[23])/6 - 
       (85*d[24])/3 + (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     ((8*d[4])/3 - (4*d[5])/3 + (5*d[6])/3 + (7*d[7])/3 + (7*d[8])/3 - d[9] + 
       2*d[10] - 8*d[11] - 3*d[12] + (13*d[15])/3 + (8*d[16])/3 - 4*d[17] + 
       16*d[18] - (13*d[19])/3 - (7*d[20])/6 - (25*d[21])/3 - (25*d[22])/3 - 
       (3*d[23])/2 + (59*d[24])/12 - (8*d[27])/3)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1}, 1 - v] + ((37*d[7])/3 + (37*d[8])/3 - 
       (37*d[9])/3 - (14*d[10])/3 + (2*d[11])/3 + (2*d[12])/3 + 2*d[14] - 
       (7*d[20])/6 + (17*d[23])/6 - (13*d[24])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1}, 1 - v] + (4*d[1] - 4*d[5] - 5*d[7] + (31*d[8])/3 - 
       (31*d[9])/3 + (16*d[10])/3 - (10*d[11])/3 + (7*d[12])/6 + d[13] - 
       16*d[16] + (8*d[19])/3 + (5*d[20])/6 + (8*d[21])/3 - 4*d[22] - 
       (19*d[23])/6 - (85*d[24])/3 + (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     (-4*d[3] + (8*d[4])/3 - (4*d[5])/3 + (5*d[6])/3 + (7*d[7])/3 + 
       (7*d[8])/3 - d[9] - (2*d[10])/3 - 8*d[11] - 3*d[12] + (13*d[15])/3 + 
       (8*d[16])/3 - 4*d[17] + 16*d[18] - (13*d[19])/3 - (7*d[20])/6 - 
       (25*d[21])/3 - (13*d[22])/3 - (3*d[23])/2 + (59*d[24])/12 - 
       (8*d[27])/3)*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     (-2*d[3] + (37*d[7])/3 + (37*d[8])/3 - (37*d[9])/3 - (14*d[10])/3 + 
       (2*d[11])/3 + (2*d[12])/3 + 2*d[14] - (7*d[20])/6 + (17*d[23])/6 - 
       (13*d[24])/3)*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     (-4*d[3] + 4*d[4] - 4*d[5] - 5*d[7] + (31*d[8])/3 - (31*d[9])/3 + 
       (16*d[10])/3 - (10*d[11])/3 + (7*d[12])/6 + d[13] - 16*d[16] + 
       (8*d[19])/3 + (5*d[20])/6 + (8*d[21])/3 + 4*d[22] - (19*d[23])/6 - 
       (85*d[24])/3 + (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     (-6*d[3] - (22*d[4])/3 + (11*d[5])/3 - (13*d[6])/3 - (32*d[7])/3 - 
       (50*d[8])/3 + 31*d[9] - 17*d[10] + 55*d[11] + 21*d[12] - 6*d[13] - 
       (101*d[15])/3 - (58*d[16])/3 + 36*d[17] - 120*d[18] + (101*d[19])/3 + 
       (35*d[20])/6 + (161*d[21])/3 + (101*d[22])/3 + (3*d[23])/2 - 
       (271*d[24])/12 + (40*d[27])/3 - 3*d[29] - 3*d[35] + 18*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u] + 
     (-8*d[2] - 6*d[5] - 4*d[6] - (188*d[7])/3 - (272*d[8])/3 + 
       (314*d[9])/3 + d[10]/3 + (2*d[11])/3 + (20*d[12])/3 + 22*d[13] - 
       10*d[14] + 20*d[16] - 2*d[17] + 2*d[18] - 10*d[19] + (101*d[20])/6 - 
       8*d[21] - 2*d[22] - (145*d[23])/6 + (98*d[24])/3 - 2*d[27] + 3*d[28] + 
       12*d[30] - 12*d[33] + 8*d[34])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - u] + (8*d[2] + 24*d[5] + (77*d[7])/3 - 
       (97*d[8])/3 + (149*d[9])/3 - (10*d[10])/3 + (62*d[11])/3 - 
       (91*d[12])/6 - 9*d[13] + 40*d[16] - 4*d[19] + (19*d[20])/6 - 
       (40*d[21])/3 + (16*d[22])/3 + (151*d[23])/6 + (293*d[24])/3 - 
       4*d[27] - 2*d[28] - 8*d[30] - (40*d[33])/3 + (40*d[34])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u] + 
     (2*d[3] - (40*d[4])/3 + (20*d[5])/3 - (13*d[6])/3 - (17*d[7])/3 - 
       (59*d[8])/3 + 13*d[9] + 2*d[10] + 60*d[11] + 9*d[12] + 6*d[14] - 
       (53*d[15])/3 - (31*d[16])/3 + 36*d[17] - 120*d[18] + (44*d[19])/3 - 
       d[20]/6 + (113*d[21])/3 + (44*d[22])/3 + (15*d[23])/2 + 
       (89*d[24])/12 + (40*d[27])/3 + 3*d[32] - 6*d[34] + 3*d[35] - 18*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     ((-185*d[7])/3 - (185*d[8])/3 + (185*d[9])/3 + (70*d[10])/3 - 
       (10*d[11])/3 - (10*d[12])/3 - 10*d[14] + (35*d[20])/6 - (85*d[23])/6 + 
       (65*d[24])/3)*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     (6*d[3] - 6*d[4] + 20*d[5] + 29*d[7] - (143*d[8])/3 + (131*d[9])/3 - 
       (35*d[10])/3 + (146*d[11])/3 + d[12]/6 - 5*d[13] + 80*d[16] - 
       (40*d[19])/3 - (25*d[20])/6 - (40*d[21])/3 + (107*d[23])/6 + 
       (413*d[24])/3 - 3*d[25] - (20*d[27])/3 - (40*d[33])/3 + (40*d[34])/3 + 
       3*d[35] - 18*d[36])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     ((-32*d[3])/3 - (8*d[4])/3 + (28*d[5])/3 - 27*d[6] - 13*d[7] - 9*d[8] + 
       (31*d[9])/3 + (10*d[10])/3 + (50*d[11])/3 - (23*d[12])/3 + 
       (4*d[14])/3 - (43*d[15])/3 - (32*d[16])/3 + (116*d[17])/3 - 
       (376*d[18])/3 + (41*d[19])/3 - (7*d[20])/6 + 35*d[21] + (73*d[22])/3 + 
       (11*d[23])/2 - (251*d[24])/12 + 8*d[27])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1}, 1 - w] + (-2*d[3] + 4*d[4] - (221*d[7])/3 - 
       (227*d[8])/3 + (197*d[9])/3 + (148*d[10])/3 + (44*d[11])/3 - 
       (28*d[12])/3 - 4*d[14] - 21*d[15] - 6*d[16] + 7*d[17] - 13*d[18] + 
       26*d[19] + (37*d[20])/3 + 38*d[21] + 18*d[22] + (101*d[23])/6 + 
       (205*d[24])/6 + 10*d[27] + 4*d[31] + 2*d[32] - 4*d[34])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w] + 
     (-6*d[3] + 6*d[4] + 17*d[5] + 4*d[7] - (236*d[8])/3 + (209*d[9])/3 - 
       (11*d[10])/3 + (29*d[11])/3 - (107*d[12])/6 - 5*d[13] + 80*d[16] - 
       (40*d[19])/3 - (25*d[20])/6 - (40*d[21])/3 + (83*d[23])/6 + 
       (437*d[24])/3 - (20*d[27])/3 - (40*d[33])/3 + (40*d[34])/3 - 3*d[35] + 
       18*d[36])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w] + 
     (-2*d[3] - 5*d[4] + (5*d[5])/2 - (5*d[6])/2 - (11*d[7])/2 - 
       (15*d[8])/2 + 11*d[9] - (15*d[10])/2 + (59*d[11])/2 + (21*d[12])/2 - 
       2*d[13] - 18*d[15] - 10*d[16] + 16*d[17] - 59*d[18] + 18*d[19] + 
       (7*d[20])/2 + 30*d[21] + 18*d[22] + (5*d[23])/2 - (25*d[24])/2 - 
       d[26]/2 + 7*d[27] - d[29] - d[35] + 6*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 0, 1}, 1 - u] + (-4*d[2] - 3*d[5] - 2*d[6] - 36*d[7] - 
       (105*d[8])/2 + (115*d[9])/2 + (13*d[10])/4 + 2*d[11] + 3*d[12] + 
       11*d[13] - 6*d[14] + 10*d[16] - d[17] + d[18] - 5*d[19] + 9*d[20] - 
       4*d[21] - d[22] - (25*d[23])/2 + (105*d[24])/4 - d[27] + (3*d[28])/2 + 
       6*d[30] - 6*d[33] + 4*d[34])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 
       1 - u] + ((17*d[2])/3 + (27*d[5])/2 + (40*d[7])/3 - (37*d[8])/2 + 
       (137*d[9])/6 - (19*d[10])/6 + (21*d[11])/2 - (49*d[12])/6 - 5*d[13] + 
       23*d[16] - 3*d[19] + (2*d[20])/3 - 7*d[21] + 2*d[22] + (41*d[23])/3 + 
       (160*d[24])/3 - (13*d[27])/6 - d[28] - 4*d[30] - 7*d[33] + 7*d[34])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     ((5*d[3])/2 - 7*d[4] + 5*d[5] - 3*d[6] - 2*d[7] - 11*d[8] + 7*d[9] - 
       (5*d[10])/2 + 28*d[11] + (11*d[12])/2 + d[13]/2 + (3*d[14])/2 - 
       10*d[15] - d[16]/2 + 16*d[17] - 59*d[18] + 8*d[19] + d[20] + 
       (39*d[21])/2 + 9*d[22] + 5*d[23] + (3*d[24])/2 + (13*d[27])/2 + 
       d[32] - d[33] - d[34] + d[35] - 6*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 0, 1}, 1 - v] + (-32*d[7] - 32*d[8] + 32*d[9] + 
       12*d[10] - 3*d[11] - 3*d[12] - d[13] - 5*d[14] + 5*d[20] - 
       (13*d[23])/2 + 12*d[24])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v] + 
     (2*d[3] - 3*d[4] + (21*d[5])/2 + (29*d[7])/2 - 26*d[8] + 22*d[9] - 
       (13*d[10])/2 + 21*d[11] - 3*d[12] - (5*d[13])/2 - d[14] - 
       (3*d[15])/2 + 41*d[16] - (11*d[19])/2 - d[20] - 4*d[21] + 
       (3*d[22])/2 + 13*d[23] + (139*d[24])/2 - d[25] - (5*d[27])/2 - 
       7*d[33] + 7*d[34] + d[35] - 6*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - v] + ((-16*d[3])/3 - (5*d[4])/3 + (9*d[5])/2 - 
       (83*d[6])/6 - 7*d[7] - (16*d[8])/3 + (31*d[9])/6 - (17*d[10])/6 + 
       (25*d[11])/3 - 2*d[12] - d[14]/3 - (23*d[15])/3 - (17*d[16])/3 + 
       (50*d[17])/3 - (182*d[18])/3 + (37*d[19])/6 + d[20] + (47*d[21])/3 + 
       (79*d[22])/6 + (7*d[23])/6 - (32*d[24])/3 + (14*d[27])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w] + 
     (-d[3] + 2*d[4] - 42*d[7] - 43*d[8] + 38*d[9] + 22*d[10] + 9*d[11] - 
       (7*d[12])/2 - (7*d[14])/2 - (41*d[15])/4 - 3*d[16] + d[17]/4 - 
       (23*d[18])/4 + (25*d[19])/2 + (17*d[20])/4 + (37*d[21])/2 + 
       (17*d[22])/2 + (21*d[23])/2 + (73*d[24])/4 + 5*d[27] + 2*d[31] + 
       d[32] - 2*d[34])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w] + 
     (-2*d[3] + 2*d[4] + (19*d[5])/2 + d[6]/2 + 4*d[7] - (77*d[8])/2 + 
       36*d[9] - 6*d[10] + (13*d[11])/2 - (17*d[12])/2 - (5*d[13])/2 - 
       d[14] - (3*d[15])/2 + 41*d[16] - (11*d[19])/2 - d[20] - 4*d[21] + 
       (3*d[22])/2 + 9*d[23] + (157*d[24])/2 - d[26]/2 - (7*d[27])/2 - 
       7*d[33] + 7*d[34] - d[35] + 6*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - w] + (12*d[3] - 8*d[4] + 4*d[5] + 7*d[6] + 
       5*d[7] + 5*d[8] - 9*d[9] - 30*d[10] + 57*d[11] + 24*d[12] - 7*d[15] - 
       8*d[16] + 30*d[17] - 111*d[18] + 5*d[19] - (23*d[20])/2 + 25*d[21] + 
       17*d[22] - (27*d[23])/2 - (173*d[24])/4 + 8*d[27])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - u] + (-18*d[2] + 24*d[3] - 3*d[4] - 18*d[5] + 
       (9*d[6])/2 - 76*d[7] - (227*d[8])/2 + 112*d[9] + (31*d[10])/2 + 
       (23*d[11])/2 + (71*d[12])/2 + 12*d[13] - 33*d[14] + (3*d[15])/2 + 
       (141*d[16])/2 - 72*d[17] + 24*d[18] - (39*d[19])/2 + (103*d[20])/2 - 
       36*d[21] - (57*d[22])/2 + (73*d[23])/2 + 49*d[24] + 6*d[26] - 
       (39*d[27])/2 - 12*d[31] - 6*d[32] + 9*d[33] + 3*d[34] - 36*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     (3*d[2] + 8*d[3] - 26*d[4] + 16*d[5] + 24*d[6] + (77*d[7])/2 - 81*d[8] + 
       (119*d[9])/2 - 86*d[10] + 112*d[11] - (39*d[12])/2 - 9*d[13] + 
       4*d[14] - 38*d[15] + 132*d[16] - 11*d[17] + 11*d[18] - d[19] + 
       (41*d[20])/2 + 83*d[21] + 10*d[22] + (137*d[23])/2 + (349*d[24])/2 - 
       9*d[26] + (11*d[27])/2 - d[28] - d[29]/2 - 4*d[30] + 2*d[31] + d[32] - 
       9*d[33] + 7*d[34] + 3*d[35] - 30*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - u] + (-8*d[4] + 4*d[5] + 7*d[6] + 5*d[7] + 
       5*d[8] - 9*d[9] + 48*d[10] + 30*d[11] + 33*d[12] - 7*d[15] - 8*d[16] + 
       39*d[17] - 120*d[18] + 7*d[19] - (35*d[20])/2 + 19*d[21] + 7*d[22] + 
       (15*d[23])/2 - (173*d[24])/4 + 8*d[27])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - v] + (-79*d[7] - 79*d[8] + 79*d[9] + 
       14*d[10] + 10*d[11] + 10*d[12] - 6*d[14] - (71*d[20])/2 - 
       (59*d[23])/2 + 43*d[24])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     (12*d[5] + 21*d[7] - 37*d[8] + 37*d[9] + 20*d[10] - 2*d[11] - 
       (13*d[12])/2 + 33*d[13] - 12*d[14] + 48*d[16] - 8*d[19] - 
       (11*d[20])/2 - 8*d[21] + (37*d[23])/2 + 46*d[24] - 4*d[27] + 3*d[28] - 
       8*d[33] + 8*d[34])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     ((82*d[3])/3 - 50*d[4] + 20*d[5] - 8*d[6] - (49*d[7])/6 - (179*d[8])/2 + 
       (91*d[9])/2 - (153*d[10])/2 + 64*d[11] - 4*d[12] - 27*d[13] + 
       2*d[14] - (65*d[15])/2 + (97*d[16])/2 + (23*d[17])/2 - (203*d[18])/2 + 
       7*d[19] + 8*d[20] + 84*d[21] + 28*d[22] + 29*d[23] + (607*d[24])/4 - 
       9*d[26] + 16*d[27] - 2*d[28] - 2*d[29] - 7*d[31] - (7*d[32])/2 - 
       16*d[33] + 23*d[34] + 3*d[35] - 30*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - w] + (-9*d[2] + (33*d[3])/2 - 24*d[4] - 
       36*d[5] - (3*d[6])/2 - (339*d[7])/4 - (475*d[8])/4 + (517*d[9])/4 + 
       125*d[10] + 19*d[11] + 10*d[12] + 54*d[13] + 6*d[14] + (21*d[15])/2 - 
       57*d[16] - 9*d[17] - 15*d[18] - (15*d[19])/2 + (95*d[20])/4 + 
       12*d[21] - (75*d[22])/2 - (17*d[23])/2 + (119*d[24])/2 + (3*d[26])/2 + 
       (21*d[27])/2 + 9*d[28] - 24*d[30] - 12*d[31] - 6*d[32] + 27*d[33] - 
       15*d[34] - 36*d[36])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w] + 
     (12*d[2] - 30*d[5] + 26*d[7] - 64*d[8] + 64*d[9] - 28*d[10] - 2*d[11] - 
       (13*d[12])/2 - 39*d[13] - 12*d[14] + 48*d[16] - 8*d[19] - 
       (11*d[20])/2 - 8*d[21] + (37*d[23])/2 + 160*d[24] - 4*d[27] - 
       3*d[28] - 8*d[33] + 8*d[34])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 
       1 - w] + (4*d[3] - (4*d[4])/3 + (2*d[5])/3 + (7*d[6])/6 + (5*d[7])/6 + 
       (5*d[8])/6 - (3*d[9])/2 - 7*d[10] + 17*d[11] + 7*d[12] - (5*d[15])/3 - 
       (4*d[16])/3 + 6*d[17] - 29*d[18] - d[19]/3 - (53*d[20])/12 + 
       (17*d[21])/3 + (11*d[22])/3 - (23*d[23])/4 - (239*d[24])/24 + 
       (4*d[27])/3)*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     (-6*d[2] + 8*d[3] - d[4] - 6*d[5] + (3*d[6])/2 - (127*d[7])/6 - 
       (101*d[8])/3 + (199*d[9])/6 + (29*d[10])/6 + (17*d[11])/3 + 
       (41*d[12])/3 + 4*d[13] - 10*d[14] + d[15]/2 + (47*d[16])/2 - 
       24*d[17] + 8*d[18] - (13*d[19])/2 + (199*d[20])/12 - 12*d[21] - 
       (19*d[22])/2 + (145*d[23])/12 + (97*d[24])/6 + 2*d[26] - 
       (13*d[27])/2 - 4*d[31] - 2*d[32] + 3*d[33] + d[34] - 12*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     (d[2] + (8*d[3])/3 - (26*d[4])/3 + (10*d[5])/3 + 8*d[6] + 9*d[7] - 
       (139*d[8])/6 + (46*d[9])/3 - (74*d[10])/3 + (110*d[11])/3 - 
       (83*d[12])/12 - (5*d[13])/2 + (4*d[14])/3 - (38*d[15])/3 + 36*d[16] - 
       (11*d[17])/3 + (11*d[18])/3 + d[19] + (29*d[20])/4 + 29*d[21] + 
       (10*d[22])/3 + (89*d[23])/4 + (128*d[24])/3 - 3*d[26] + (5*d[27])/2 - 
       d[28]/3 - d[29]/6 - (4*d[30])/3 + (2*d[31])/3 + d[32]/3 - 
       (5*d[33])/3 + d[34] + d[35] - 10*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - u] + ((-4*d[4])/3 + (2*d[5])/3 + (7*d[6])/6 + 
       (5*d[7])/6 + (5*d[8])/6 - (3*d[9])/2 + (37*d[10])/2 + (15*d[11])/2 + 
       9*d[12] - (13*d[15])/6 - (4*d[16])/3 + 9*d[17] - 32*d[18] + 
       (13*d[19])/6 - (77*d[20])/12 + (25*d[21])/6 + (13*d[22])/6 + 
       (7*d[23])/4 - (239*d[24])/24 + (4*d[27])/3)*HPL[{1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + ((-121*d[7])/6 - (121*d[8])/6 + 
       (121*d[9])/6 + (7*d[10])/3 + (11*d[11])/3 + (11*d[12])/3 - d[14] - 
       (149*d[20])/12 - (101*d[23])/12 + (73*d[24])/6)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + (2*d[5] + (5*d[7])/2 - (55*d[8])/6 + 
       (55*d[9])/6 + (65*d[10])/6 - d[11]/3 - (19*d[12])/12 + (23*d[13])/2 - 
       4*d[14] + 8*d[16] - (4*d[19])/3 - (17*d[20])/12 - (4*d[21])/3 + 
       (55*d[23])/12 + (2*d[24])/3 - (2*d[27])/3 + d[28] - (4*d[33])/3 + 
       (4*d[34])/3)*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v] + 
     ((26*d[3])/3 - (46*d[4])/3 + 6*d[5] - (23*d[6])/6 - (5*d[7])/3 - 
       (89*d[8])/3 + (47*d[9])/3 - (139*d[10])/6 + (56*d[11])/3 - 
       (25*d[12])/6 - 9*d[13] + (2*d[14])/3 - (34*d[15])/3 + (35*d[16])/2 - 
       (5*d[17])/6 - (155*d[18])/6 + (17*d[19])/6 + (25*d[20])/12 + 
       (53*d[21])/2 + (59*d[22])/6 + (41*d[23])/4 + (1297*d[24])/24 - 
       3*d[26] + 4*d[27] - (2*d[28])/3 - (2*d[29])/3 - (7*d[31])/3 - 
       (7*d[32])/6 - (16*d[33])/3 + (23*d[34])/3 + d[35] - 10*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w] + 
     (-3*d[2] + (11*d[3])/2 - 8*d[4] - 12*d[5] - d[6]/2 - (275*d[7])/12 - 
       (419*d[8])/12 + (461*d[9])/12 + (124*d[10])/3 + (26*d[11])/3 + 
       (17*d[12])/3 + 18*d[13] + 3*d[14] + (7*d[15])/2 - 19*d[16] - 3*d[17] - 
       5*d[18] - (5*d[19])/2 + (22*d[20])/3 + 4*d[21] - (25*d[22])/2 - 
       (41*d[23])/12 + (115*d[24])/6 + d[26]/2 + (7*d[27])/2 + 3*d[28] - 
       8*d[30] - 4*d[31] - 2*d[32] + 9*d[33] - 5*d[34] - 12*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w] + 
     (4*d[2] - 12*d[5] + (11*d[7])/2 - (109*d[8])/6 + (109*d[9])/6 - 
       (14*d[10])/3 - d[11]/3 - (19*d[12])/12 - (25*d[13])/2 - 4*d[14] + 
       8*d[16] - (4*d[19])/3 - (17*d[20])/12 - (4*d[21])/3 + (55*d[23])/12 + 
       (119*d[24])/3 - (2*d[27])/3 - d[28] - (4*d[33])/3 + (4*d[34])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w] + 
     (2*d[3] + 14*d[6] - d[7] - d[8] + d[9] - 8*d[10] + 2*d[11] + 18*d[12] - 
       8*d[15] - 88*d[17] + 88*d[18] + 8*d[19] + 27*d[20] - 24*d[21] + 
       24*d[22] - 9*d[23] - 74*d[24])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - u] + (12*d[4] + d[5] + 26*d[6] - d[7]/3 - 
       d[8]/3 + d[9]/3 - (8*d[10])/3 + (2*d[11])/3 + (43*d[12])/3 - 
       (8*d[15])/3 - (386*d[17])/3 + (412*d[18])/3 + d[19]/3 + (10*d[20])/3 - 
       (118*d[21])/3 + (56*d[22])/3 - 13*d[23] - 62*d[24])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - u] + ((-8*d[2])/3 - d[3] - d[6] + (2*d[7])/3 - 
       d[8] + d[9] + d[10] + (2*d[11])/3 - 34*d[12] - 4*d[14] - (4*d[15])/3 + 
       (4*d[17])/3 - (20*d[18])/3 + (4*d[19])/3 + (134*d[20])/3 + 
       (4*d[21])/3 + (4*d[22])/3 + (45*d[23])/2 - (31*d[24])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w] + 
     (-4*d[2] - 6*d[5] + 5*d[7] - 3*d[8] + 3*d[9] + 2*d[11] - 50*d[12] - 
       26*d[14] - 12*d[17] + d[20] + 12*d[23] - 18*d[24])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - w] - 8*d[5]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u] - 
     4*d[3]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w] + 
     (2*d[2] - 6*d[5] + 4*d[7] + 4*d[8] + 20*d[9] + 8*d[10] + 12*d[11])*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - u] + (-12*d[6] - 12*d[7] - 12*d[8] + 
       12*d[9] + 32*d[10] - 8*d[11] - 16*d[12] + 6*d[14] + 4*d[15] + 
       16*d[17] - 40*d[18] - 6*d[19] - 6*d[20] + 8*d[21] - 4*d[22] - 
       2*d[23] + 12*d[24])*HPL[{0, 0, 0, 0, 1, 1}, 1 - w] + 
     ((3*d[2])/2 - 2*d[5] + 2*d[7] + 2*d[8] + 6*d[9] + (5*d[10])/2 + 6*d[11])*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - u] + (-6*d[6] - 6*d[7] - 6*d[8] + 6*d[9] + 
       11*d[10] - (11*d[11])/2 - 8*d[12] + (3*d[14])/2 + (3*d[15])/2 + 
       6*d[17] - 17*d[18] - (7*d[19])/2 - (3*d[20])/2 + 3*d[21] - 2*d[22] - 
       (3*d[23])/2 + 6*d[24])*HPL[{0, 0, 0, 1, 0, 1}, 1 - w] + 
     (-36*d[3] + 24*d[4] + 30*d[5] + 6*d[6] - 18*d[7] + 42*d[8] - 57*d[9] + 
       48*d[10] + 39*d[11] + 60*d[12] - 24*d[13] + 24*d[14] - 30*d[15] - 
       96*d[16] - 21*d[17] + 69*d[18] + 48*d[19] + 6*d[20] + 60*d[21] + 
       48*d[22] - 48*d[23] - 216*d[24] - 6*d[26] + 12*d[27] + 24*d[31] + 
       12*d[32] - 24*d[34] + 36*d[36])*HPL[{0, 0, 0, 1, 1, 1}, 1 - u] + 
     (-6*d[3] + 12*d[4] + 30*d[5] - 27*d[6] + 2*d[7] + 3*d[9] - 48*d[10] - 
       24*d[11] - 36*d[12] - 48*d[13] - 6*d[14] + 12*d[15] - 9*d[16] - 
       21*d[17] - 15*d[18] + 6*d[19] - (57*d[20])/2 - 24*d[21] + 24*d[22] + 
       33*d[23] - (69*d[24])/2 - 9*d[27] - 6*d[28] - 3*d[29] - 12*d[30] - 
       6*d[31] - 6*d[32] - 30*d[33] + 36*d[34] + 36*d[36])*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - w] + (-18*d[3] + 12*d[4] + 15*d[5] + 
       3*d[6] - 12*d[7] + 18*d[8] - 26*d[9] + 28*d[10] + 14*d[11] + 
       25*d[12] - 12*d[13] + 12*d[14] - 15*d[15] - 48*d[16] - (21*d[17])/2 + 
       (69*d[18])/2 + 24*d[19] + 3*d[20] + 30*d[21] + 24*d[22] - 24*d[23] - 
       108*d[24] - 3*d[26] + 6*d[27] + 12*d[31] + 6*d[32] - 12*d[34] + 
       18*d[36])*HPL[{0, 0, 1, 0, 1, 1}, 1 - u] + 
     (-3*d[3] + 6*d[4] + 15*d[5] - 15*d[6] + d[7]/2 + (3*d[8])/2 + d[9] - 
       20*d[10] - 9*d[11] - 19*d[12] - 19*d[13] - 3*d[14] + 2*d[15] + 
       d[16]/2 - (31*d[17])/2 - d[18] + 7*d[19] - (41*d[20])/4 - 8*d[21] + 
       16*d[22] + (35*d[23])/2 - (91*d[24])/4 - (9*d[27])/2 - (5*d[28])/2 - 
       d[29] - 6*d[30] - 3*d[31] - 3*d[32] - 15*d[33] + 18*d[34] + 18*d[36])*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - w] + (-6*d[3] + 4*d[4] + 5*d[5] + d[6] - 
       4*d[7] + 6*d[8] - (17*d[9])/2 + 10*d[10] - d[11]/2 + 5*d[12] - 
       4*d[13] + 4*d[14] - 5*d[15] - 16*d[16] - (7*d[17])/2 + (23*d[18])/2 + 
       8*d[19] + d[20] + 10*d[21] + 8*d[22] - 8*d[23] - 36*d[24] - d[26] + 
       2*d[27] + 4*d[31] + 2*d[32] - 4*d[34] + 6*d[36])*
      HPL[{0, 0, 1, 1, 0, 1}, 1 - u] + (-d[3] + 2*d[4] + 5*d[5] - 
       (9*d[6])/2 + 3*d[8] - (3*d[9])/2 - 6*d[10] - 3*d[11] - 7*d[12] - 
       3*d[13] - d[14] + (7*d[16])/2 - (13*d[17])/2 + 4*d[18] + 3*d[19] - 
       (3*d[20])/4 - 2*d[21] + 6*d[22] + (13*d[23])/2 - (51*d[24])/4 - 
       (3*d[27])/2 - d[28]/2 - 2*d[30] - d[31] - d[32] - 5*d[33] + 6*d[34] + 
       6*d[36])*HPL[{0, 0, 1, 1, 0, 1}, 1 - w] + 
     (-48*d[3] + 26*d[4] + 39*d[5] - 77*d[6] - 78*d[7] - 6*d[8] + 39*d[9] + 
       90*d[10] + 17*d[11] - 48*d[13] + 18*d[14] - 25*d[15] - 84*d[16] - 
       35*d[17] + 51*d[18] + 61*d[19] - 69*d[20] + 14*d[21] + 73*d[22] - 
       24*d[23] - 105*d[24] - 9*d[26] + 6*d[27] + 24*d[31] + 12*d[32] - 
       24*d[33] + 72*d[36])*HPL[{0, 0, 1, 1, 1, 1}, 1 - u] + 
     (-48*d[3] + 48*d[4] + 75*d[5] + 6*d[6] - 53*d[7] - 8*d[8] + 44*d[9] + 
       42*d[10] + 6*d[11] - 44*d[12] + 24*d[13] + 6*d[14] - 15*d[15] - 
       33*d[16] + 21*d[17] - 51*d[18] + 42*d[19] + 57*d[20] + 12*d[21] + 
       54*d[22] + 2*d[23] - 142*d[24] - 3*d[27] + 24*d[31] + 12*d[32] - 
       30*d[33] + 6*d[34] + 72*d[36])*HPL[{0, 0, 1, 1, 1, 1}, 1 - w] + 
     (-12*d[3] + (11*d[4])/2 + (39*d[5])/4 - (77*d[6])/4 - (39*d[7])/2 - 
       (3*d[8])/2 + (39*d[9])/4 + (45*d[10])/2 + (17*d[11])/4 - 12*d[13] + 
       (9*d[14])/2 - (25*d[15])/4 - 21*d[16] - (35*d[17])/4 + (51*d[18])/4 + 
       (61*d[19])/4 - (69*d[20])/4 + (7*d[21])/2 + (73*d[22])/4 - 6*d[23] - 
       (105*d[24])/4 - (9*d[26])/4 + (3*d[27])/2 + 6*d[31] + 3*d[32] - 
       6*d[33] + 18*d[36])*HPL[{0, 1, 0, 1, 1, 1}, 1 - u] + 
     (d[2] - 12*d[3] + 12*d[4] + (75*d[5])/4 + (3*d[6])/2 - (53*d[7])/4 - 
       2*d[8] + 11*d[9] + (21*d[10])/2 + (3*d[11])/2 - 11*d[12] + 6*d[13] + 
       (3*d[14])/2 - (15*d[15])/4 - (33*d[16])/4 + (21*d[17])/4 - 
       (51*d[18])/4 + (21*d[19])/2 + (57*d[20])/4 + 3*d[21] + (27*d[22])/2 + 
       d[23]/2 - (71*d[24])/2 - (3*d[27])/4 + 6*d[31] + 3*d[32] - 
       (15*d[33])/2 + (3*d[34])/2 + 18*d[36])*HPL[{0, 1, 0, 1, 1, 1}, 
       1 - w] + ((-5*d[6])/2 + 10*d[12] - 5*d[15] - 65*d[17] + 75*d[18] + 
       5*d[19] - 15*d[21] + 15*d[22] - 20*d[24])*HPL[{0, 1, 1, 1, 1, 1}, 
       1 - u] + ((-45*d[12])/2 - (95*d[14])/2 + (15*d[20])/2 + (5*d[23])/2 - 
       25*d[24])*HPL[{0, 1, 1, 1, 1, 1}, 1 - w] + 
     ((2*d[4])/3 - (11*d[5])/6 + (2*d[6])/3 - d[7]/6 + (7*d[8])/3 - 2*d[9] + 
       2*d[10] - (5*d[11])/2 - (3*d[12])/2 + (5*d[15])/6 - (13*d[16])/3 + 
       2*d[18] + d[19]/6 + d[20]/12 - (5*d[21])/6 - (5*d[22])/6 - 
       (3*d[23])/4 - (71*d[24])/24 - d[27]/6 + d[33] - d[34])*HPL[{1}, 1 - u]*
      M1[u, v, w] + ((17*d[7])/6 + (17*d[8])/6 - (17*d[9])/6 + d[10]/3 + 
       (2*d[11])/3 + (2*d[12])/3 + d[13] - d[14] + (7*d[20])/12 + d[23]/12 - 
       (17*d[24])/6)*HPL[{1}, 1 - v]*M1[u, v, w] + 
     ((3*d[5])/2 - d[7]/2 + d[8]/3 - d[9]/3 - (5*d[10])/3 + d[11]/6 - 
       d[12]/12 - d[13]/2 + 2*d[14] + 2*d[16] - d[19]/3 - (5*d[20])/12 - 
       d[21]/3 - (5*d[23])/12 + d[24]/6 - d[27]/6 - d[33]/3 + d[34]/3)*
      HPL[{1}, 1 - w]*M1[u, v, w] + (d[4]/3 - d[5]/6 - d[6]/6 + d[7]/6 + 
       d[8]/6 + d[10] - d[11] + d[12] + (2*d[15])/3 + (4*d[16])/3 - 
       (2*d[19])/3 - d[20]/3 - (8*d[21])/3 - (2*d[22])/3 - (2*d[24])/3 + 
       d[26]/2 - d[27]/3)*HPL[{1}, 1 - u]*M1[v, u, w] + 
     ((7*d[7])/6 + (25*d[8])/6 - (25*d[9])/6 - (13*d[10])/3 - (2*d[11])/3 + 
       (4*d[12])/3 + d[14] - (23*d[20])/6 - (4*d[23])/3 - (23*d[24])/3)*
      HPL[{1}, 1 - v]*M1[v, u, w] + (-d[2] - d[5]/2 - d[7]/2 + (2*d[8])/3 - 
       (2*d[9])/3 + (5*d[10])/3 - d[11]/6 + d[12]/3 + d[13] - d[14] - 
       2*d[16] + d[19]/3 + (2*d[20])/3 + d[21]/3 - d[23]/3 - (5*d[24])/3 + 
       d[27]/6 + d[33]/3 - d[34]/3)*HPL[{1}, 1 - w]*M1[v, u, w] + 
     (d[4]/3 - d[5]/6 + d[6]/3 + d[7]/6 + d[8]/6 - d[10]/2 - (3*d[11])/2 - 
       (3*d[12])/2 - d[15]/3 + d[16]/3 + 2*d[18] + d[19]/3 + (5*d[20])/12 + 
       (5*d[21])/6 - (2*d[22])/3 + (5*d[23])/4 + (29*d[24])/24 - d[27]/3)*
      HPL[{1}, 1 - u]*M1[v, w, u] + ((31*d[7])/6 + (31*d[8])/6 - 
       (31*d[9])/6 - d[10]/3 - (8*d[11])/3 - (5*d[12])/3 + 3*d[17] + 
       (23*d[20])/12 - (31*d[23])/12 - (7*d[24])/6)*HPL[{1}, 1 - v]*
      M1[v, w, u] + (-d[5]/2 - d[6]/2 - d[7]/2 + (5*d[8])/3 - (5*d[9])/3 + 
       d[10]/6 - (2*d[11])/3 + (19*d[12])/12 - d[13]/2 + d[14] + 
       (3*d[15])/2 - d[16] - (7*d[19])/6 - (13*d[20])/12 - (8*d[21])/3 - 
       (3*d[22])/2 - (37*d[23])/12 - (8*d[24])/3 + d[26]/2 + d[27]/6 + 
       d[33]/3 - d[34]/3)*HPL[{1}, 1 - w]*M1[v, w, u] + 
     (-d[10] - d[11] - (3*d[12])/2 + d[15]/2 + 2*d[18] - d[19]/2 - d[20]/4 - 
       d[21]/2 - d[22]/2 - (3*d[23])/4 + (11*d[24])/8)*HPL[{1}, 1 - u]*
      M1[w, u, v] + ((7*d[7])/2 + (7*d[8])/2 - (7*d[9])/2 - d[11] - d[12] + 
       (13*d[20])/4 + (7*d[23])/4 - (5*d[24])/2)*HPL[{1}, 1 - v]*
      M1[w, u, v] + (d[8] - d[9] - 2*d[10] + d[12]/4 - d[13]/2 + d[14] + 
       d[20]/4 - (3*d[23])/4 - (3*d[24])/2)*HPL[{1}, 1 - w]*M1[w, u, v] + 
     (-d[3] - d[4]/3 + d[5]/6 - d[6]/3 - d[7]/6 - d[8]/6 + (3*d[10])/2 + 
       d[11]/2 + d[12] - d[15]/6 - d[16]/3 + d[19]/6 + d[20]/3 + 
       (2*d[21])/3 + d[22]/6 + d[24]/6 + d[27]/3)*HPL[{1}, 1 - u]*
      M1[w, v, u] + ((-5*d[7])/3 - (5*d[8])/3 + (5*d[9])/3 - (2*d[10])/3 + 
       (2*d[11])/3 + (2*d[12])/3 + d[14] - (8*d[20])/3 - (2*d[23])/3 + 
       (5*d[24])/3)*HPL[{1}, 1 - v]*M1[w, v, u] + 
     (d[4] - (3*d[5])/2 + d[7]/2 + (11*d[8])/6 - (4*d[9])/3 + (11*d[10])/6 - 
       (11*d[11])/6 + (8*d[12])/3 + d[13] - d[14] + (3*d[15])/2 - 3*d[16] - 
       (5*d[19])/6 - (2*d[20])/3 - (7*d[21])/3 - (3*d[22])/2 - (8*d[23])/3 - 
       (23*d[24])/6 - (2*d[27])/3 + (2*d[33])/3 - (2*d[34])/3)*
      HPL[{1}, 1 - w]*M1[w, v, u] + (-d[4]/3 + d[5]/6 - d[6]/12 - 
       (5*d[7])/12 - (5*d[8])/12 + d[9]/4 - d[10]/2 + d[11] + d[12]/2 - 
       (2*d[15])/3 - d[16]/3 + d[17] - 3*d[18] + (2*d[19])/3 + d[20]/3 + 
       (7*d[21])/6 + (2*d[22])/3 - (17*d[24])/24 + d[27]/3)*HPL[{1}, 1 - u]*
      Nt[u, v, w] + ((-5*d[7])/3 - (5*d[8])/3 + (5*d[9])/3 + (4*d[10])/3 - 
       d[11]/3 - d[12]/3 + (7*d[20])/12 - d[23]/6 + d[24]/6)*HPL[{1}, 1 - v]*
      Nt[u, v, w] + (d[5]/2 + (3*d[7])/4 - (17*d[8])/12 + (17*d[9])/12 - 
       (2*d[10])/3 + (2*d[11])/3 + d[12]/6 + 2*d[16] - d[19]/3 - 
       (5*d[20])/12 - d[21]/3 + d[23]/12 + (14*d[24])/3 - d[27]/6 - d[33]/3 + 
       d[34]/3)*HPL[{1}, 1 - w]*Nt[u, v, w] + 
     ((2*d[4])/3 - d[5]/3 - d[6]/3 + (5*d[7])/6 + (5*d[8])/6 - d[9]/2 + 
       3*d[10] - 2*d[11] - d[12] + (4*d[15])/3 + (2*d[16])/3 - 2*d[17] + 
       6*d[18] - (4*d[19])/3 - (2*d[20])/3 - (7*d[21])/3 - (4*d[22])/3 + 
       (17*d[24])/12 - (2*d[27])/3)*HPL[{1}, 1 - u]^2*Omega2[u, v, w] + 
     ((4*d[4])/3 - (2*d[5])/3 + (5*d[6])/6 + (9*d[7])/2 + (9*d[8])/2 - 
       (23*d[9])/6 - (8*d[10])/3 - (13*d[11])/3 - (4*d[12])/3 + 2*d[14] + 
       (8*d[15])/3 + (4*d[16])/3 - 2*d[17] + 10*d[18] - (8*d[19])/3 - d[20] - 
       (14*d[21])/3 - (8*d[22])/3 - (7*d[23])/6 + (5*d[24])/2 - (4*d[27])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[u, v, w] + 
     ((17*d[7])/3 + (17*d[8])/3 - (17*d[9])/3 - (10*d[10])/3 + (10*d[11])/3 + 
       (10*d[12])/3 - (16*d[20])/3 - (5*d[23])/6 - (2*d[24])/3)*
      HPL[{1}, 1 - v]^2*Omega2[u, v, w] + 
     ((-2*d[4])/3 - (2*d[5])/3 - d[6]/6 - (7*d[7])/3 + 2*d[8] - (7*d[9])/3 + 
       d[10]/3 + (2*d[11])/3 + (5*d[12])/3 + 2*d[13] - 2*d[14] - d[15]/3 - 
       (14*d[16])/3 + 2*d[17] - 6*d[18] + d[19] + (3*d[20])/2 + 2*d[21] + 
       d[22]/3 - d[23]/6 - (51*d[24])/4 + d[27] + (2*d[33])/3 - (2*d[34])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[u, v, w] + 
     (-2*d[5] - (35*d[7])/6 + (17*d[8])/6 - (17*d[9])/6 + (16*d[10])/3 - 
       (10*d[11])/3 - (5*d[12])/6 - d[13] + d[14] - 8*d[16] + (4*d[19])/3 - 
       d[20]/6 + (4*d[21])/3 - (8*d[23])/3 - (40*d[24])/3 + (2*d[27])/3 + 
       (4*d[33])/3 - (4*d[34])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Omega2[u, v, w] + (d[5] + (3*d[7])/2 - (17*d[8])/6 + (17*d[9])/6 - 
       (4*d[10])/3 + (4*d[11])/3 + (5*d[12])/6 - d[13]/2 + d[14]/2 + 
       4*d[16] - (2*d[19])/3 - (5*d[20])/6 - (2*d[21])/3 - d[23]/3 + 
       (59*d[24])/6 - d[27]/3 - (2*d[33])/3 + (2*d[34])/3)*HPL[{1}, 1 - w]^2*
      Omega2[u, v, w] + ((-2*d[4])/3 + d[5]/3 + d[6]/3 - (5*d[7])/6 - 
       (5*d[8])/6 + d[9]/2 - d[10] + 2*d[11] + d[12] - (4*d[15])/3 - 
       (2*d[16])/3 + 2*d[17] - 6*d[18] + (4*d[19])/3 + (2*d[20])/3 + 
       (7*d[21])/3 + (4*d[22])/3 - (17*d[24])/12 + (2*d[27])/3)*
      HPL[{1}, 1 - u]^2*Omega2[v, w, u] + 
     ((4*d[4])/3 - (2*d[5])/3 + (5*d[6])/6 - (13*d[7])/6 - (13*d[8])/6 + 
       (17*d[9])/6 + (20*d[10])/3 - (11*d[11])/3 + d[12]/3 + (5*d[15])/3 + 
       (4*d[16])/3 - 2*d[17] + 6*d[18] - (5*d[19])/3 + (11*d[20])/6 - 
       (11*d[21])/3 - (5*d[22])/3 - d[23]/3 + (29*d[24])/12 - (4*d[27])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[v, w, u] + 
     ((-4*d[7])/3 - (4*d[8])/3 + (4*d[9])/3 - (10*d[10])/3 + (16*d[11])/3 + 
       (16*d[12])/3 + 2*d[14] - (71*d[20])/6 - (13*d[23])/3 + (13*d[24])/3)*
      HPL[{1}, 1 - v]^2*Omega2[v, w, u] + 
     ((2*d[4])/3 + (2*d[5])/3 + d[6]/6 + (7*d[7])/3 - 2*d[8] + (7*d[9])/3 - 
       (7*d[10])/3 - (8*d[11])/3 - (14*d[12])/3 + (4*d[15])/3 + 
       (14*d[16])/3 - 2*d[17] + 10*d[18] - 2*d[19] - 2*d[20] - 3*d[21] - 
       (4*d[22])/3 - (4*d[23])/3 + (25*d[24])/2 - d[27] - (2*d[33])/3 + 
       (2*d[34])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[v, w, u] + 
     (-2*d[5] + (47*d[7])/6 + (29*d[8])/2 - (29*d[9])/2 + 2*d[10] - 2*d[11] + 
       2*d[13] - 3*d[14] - 8*d[16] + (4*d[19])/3 + (11*d[20])/2 + 
       (4*d[21])/3 + 3*d[23] - 18*d[24] + (2*d[27])/3 + (4*d[33])/3 - 
       (4*d[34])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[v, w, u] + 
     (-d[5] - (3*d[7])/2 + (29*d[8])/6 - (29*d[9])/6 - (2*d[10])/3 - 
       (4*d[11])/3 - d[12]/3 - (3*d[13])/2 + (5*d[14])/2 - 4*d[16] + 
       (2*d[19])/3 - (2*d[20])/3 + (2*d[21])/3 - (7*d[23])/6 - (71*d[24])/6 + 
       d[27]/3 + (2*d[33])/3 - (2*d[34])/3)*HPL[{1}, 1 - w]^2*
      Omega2[v, w, u] + (2*d[4] - d[5] + 2*d[6] + (3*d[7])/2 + (3*d[8])/2 - 
       d[9]/2 - d[10] - 6*d[11] - 4*d[12] + 3*d[15] + 2*d[16] - 2*d[17] + 
       10*d[18] - 3*d[19] - d[20]/2 - 6*d[21] - 3*d[22] - (3*d[23])/2 + 
       (7*d[24])/2 - 2*d[27])*HPL[{1}, 1 - u]^2*Omega2[w, u, v] + 
     ((-2*d[4])/3 + d[5]/3 - d[6]/6 + (49*d[7])/6 + (49*d[8])/6 - 
       (17*d[9])/2 - 3*d[10] + 4*d[11] + 3*d[12] - (4*d[15])/3 - 
       (2*d[16])/3 + 2*d[17] - 6*d[18] + (4*d[19])/3 + (2*d[20])/3 + 
       (7*d[21])/3 + (4*d[22])/3 + d[23]/2 - (53*d[24])/12 + (2*d[27])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[w, u, v] + 
     ((-10*d[7])/3 - (10*d[8])/3 + (10*d[9])/3 + (8*d[10])/3 - (2*d[11])/3 - 
       (2*d[12])/3 + (7*d[20])/6 - d[23]/3 + d[24]/3)*HPL[{1}, 1 - v]^2*
      Omega2[w, u, v] + (-d[6]/2 - 2*d[7] + 4*d[8] - 4*d[9] + 2*d[10] - 
       2*d[11] + (3*d[12])/2 - d[13] + 2*d[14] + 2*d[15] - 2*d[17] + 
       6*d[18] - 2*d[19] - 2*d[21] - 2*d[22] - d[23] - (29*d[24])/4)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[w, u, v] + 
     (d[5] + (3*d[7])/2 - (17*d[8])/6 + (17*d[9])/6 - (16*d[10])/3 + 
       (7*d[11])/3 + (4*d[12])/3 + 3*d[14] + 4*d[16] - (2*d[19])/3 - 
       (22*d[20])/3 - (2*d[21])/3 - (5*d[23])/6 + (37*d[24])/3 - d[27]/3 - 
       (2*d[33])/3 + (2*d[34])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Omega2[w, u, v] + (-3*d[5] - (3*d[7])/2 + (11*d[8])/2 - (11*d[9])/2 + 
       6*d[10] - 2*d[11] + (3*d[12])/2 + (5*d[13])/2 - (5*d[14])/2 - 
       12*d[16] + 2*d[19] - d[20]/2 + 2*d[21] - 2*d[23] - (33*d[24])/2 + 
       d[27] + 2*d[33] - 2*d[34])*HPL[{1}, 1 - w]^2*Omega2[w, u, v] + 
     ((-4*d[4])/3 + (2*d[5])/3 - (5*d[6])/6 - (7*d[7])/6 - (7*d[8])/6 + 
       d[9]/2 - d[10] + 4*d[11] + (3*d[12])/2 - (13*d[15])/6 - (4*d[16])/3 + 
       2*d[17] - 8*d[18] + (13*d[19])/6 + (7*d[20])/12 + (25*d[21])/6 + 
       (13*d[22])/6 + (3*d[23])/4 - (59*d[24])/24 + (4*d[27])/3)*
      HPL[{1}, 1 - u]*Ot[u, v, w] + ((-37*d[7])/6 - (37*d[8])/6 + 
       (37*d[9])/6 + (7*d[10])/3 - d[11]/3 - d[12]/3 - d[14] + (7*d[20])/12 - 
       (17*d[23])/12 + (13*d[24])/6)*HPL[{1}, 1 - v]*Ot[u, v, w] + 
     (2*d[5] + (5*d[7])/2 - (31*d[8])/6 + (31*d[9])/6 - (8*d[10])/3 + 
       (5*d[11])/3 - (7*d[12])/12 - d[13]/2 + 8*d[16] - (4*d[19])/3 - 
       (5*d[20])/12 - (4*d[21])/3 + (19*d[23])/12 + (85*d[24])/6 - 
       (2*d[27])/3 - (4*d[33])/3 + (4*d[34])/3)*HPL[{1}, 1 - w]*Ot[u, v, w] + 
     ((128*d[4])/9 - (64*d[5])/9 + (80*d[6])/9 + (136*d[7])/9 + 
       (136*d[8])/9 - 8*d[9] + (128*d[10])/3 - (80*d[11])/3 + 16*d[12] + 
       (208*d[15])/9 + (128*d[16])/9 - (64*d[17])/3 + 64*d[18] - 
       (208*d[19])/9 + (88*d[20])/9 - (400*d[21])/9 - (208*d[22])/9 + 
       8*d[23] + (164*d[24])/9 - (128*d[27])/9)*HPL[{1}, 1 - u]*
      Qep[u, v, w] + ((-128*d[7])/9 - (128*d[8])/9 + (128*d[9])/9 - 
       (320*d[10])/9 + (512*d[11])/9 + (512*d[12])/9 + (32*d[14])/3 - 
       (1760*d[20])/9 - (704*d[23])/9 + (320*d[24])/9)*HPL[{1}, 1 - v]*
      Qep[u, v, w] + ((-64*d[5])/3 - 24*d[7] + (424*d[8])/9 - (424*d[9])/9 + 
       (448*d[10])/9 - (112*d[11])/9 + (80*d[12])/9 + 16*d[13] - 
       (64*d[14])/3 - (256*d[16])/3 + (128*d[19])/9 - (56*d[20])/9 + 
       (128*d[21])/9 - (128*d[23])/9 - (1120*d[24])/9 + (64*d[27])/9 + 
       (128*d[33])/9 - (128*d[34])/9)*HPL[{1}, 1 - w]*Qep[u, v, w] + 
     ((64*d[4])/9 - (32*d[5])/9 + (40*d[6])/9 + (104*d[7])/9 + (104*d[8])/9 - 
       8*d[9] - (32*d[10])/3 - (112*d[11])/3 - 32*d[12] + (320*d[15])/9 + 
       (64*d[16])/9 - (32*d[17])/3 + 96*d[18] - (320*d[19])/9 + (8*d[20])/9 - 
       (416*d[21])/9 - (320*d[22])/9 - 8*d[23] + (568*d[24])/9 - 
       (64*d[27])/9)*HPL[{1}, 1 - u]*Qep[u, w, v] + 
     ((944*d[7])/9 + (944*d[8])/9 - (944*d[9])/9 - (160*d[10])/9 - 
       (32*d[11])/9 - (32*d[12])/9 - (32*d[14])/3 + (56*d[20])/9 + 
       (152*d[23])/9 - (560*d[24])/9)*HPL[{1}, 1 - v]*Qep[u, w, v] + 
     ((-32*d[5])/3 - 16*d[7] + (464*d[8])/9 - (464*d[9])/9 - (64*d[10])/9 - 
       (128*d[11])/9 + (40*d[12])/9 - 16*d[13] + (64*d[14])/3 - 
       (128*d[16])/3 + (64*d[19])/9 - (136*d[20])/9 + (64*d[21])/9 - 
       (208*d[23])/9 - (992*d[24])/9 + (32*d[27])/9 + (64*d[33])/9 - 
       (64*d[34])/9)*HPL[{1}, 1 - w]*Qep[u, w, v] + 
     ((64*d[4])/3 - (32*d[5])/3 + (40*d[6])/3 + 16*d[7] + 16*d[8] - 
       (16*d[9])/3 - (32*d[10])/3 - 64*d[11] - 48*d[12] + (80*d[15])/3 + 
       (64*d[16])/3 - 32*d[17] + (352*d[18])/3 - (80*d[19])/3 - 16*d[20] - 
       (176*d[21])/3 - (80*d[22])/3 - 16*d[23] + (76*d[24])/3 - (64*d[27])/3)*
      HPL[{1}, 1 - u]*Qep[v, u, w] + ((304*d[7])/3 + (304*d[8])/3 - 
       (304*d[9])/3 - 32*d[10] + (32*d[11])/3 + (32*d[12])/3 - (56*d[20])/3 - 
       (8*d[23])/3 - 48*d[24])*HPL[{1}, 1 - v]*Qep[v, u, w] + 
     (-24*d[7] + 40*d[8] - 40*d[9] - (64*d[10])/3 - (16*d[11])/3 - 
       (8*d[12])/3 - (32*d[13])/3 + (64*d[14])/3 - (32*d[23])/3 - 
       (320*d[24])/3)*HPL[{1}, 1 - w]*Qep[v, u, w] + 
     (-8*d[6] + (8*d[7])/3 + (8*d[8])/3 - (8*d[9])/3 + (128*d[10])/3 - 
       16*d[11] - 32*d[17] + (224*d[18])/3 - (40*d[20])/3 - 8*d[23])*
      HPL[{1}, 1 - u]*Qep[v, w, u] + ((16*d[7])/3 + (16*d[8])/3 - 
       (16*d[9])/3 - (160*d[10])/3 + (32*d[11])/3 + (32*d[12])/3 + 32*d[14] - 
       (56*d[20])/3 + (40*d[23])/3 + (112*d[24])/3)*HPL[{1}, 1 - v]*
      Qep[v, w, u] + (-32*d[5] - 16*d[7] + (176*d[8])/3 - (176*d[9])/3 + 
       64*d[10] - (64*d[11])/3 + 8*d[12] + (80*d[13])/3 - (64*d[14])/3 - 
       128*d[16] + (64*d[19])/3 + (8*d[20])/3 + (64*d[21])/3 - (32*d[23])/3 - 
       192*d[24] + (32*d[27])/3 + (64*d[33])/3 - (64*d[34])/3)*
      HPL[{1}, 1 - w]*Qep[v, w, u] + ((64*d[4])/9 - (32*d[5])/9 + 
       (40*d[6])/9 + (80*d[7])/9 + (80*d[8])/9 - (16*d[9])/3 + 32*d[10] - 
       (64*d[11])/3 - (16*d[12])/3 + (176*d[15])/9 + (64*d[16])/9 - 
       (32*d[17])/3 + (160*d[18])/3 - (176*d[19])/9 + (32*d[20])/9 - 
       (272*d[21])/9 - (176*d[22])/9 + (244*d[24])/9 - (64*d[27])/9)*
      HPL[{1}, 1 - u]*Qep[w, u, v] + ((272*d[7])/9 + (272*d[8])/9 - 
       (272*d[9])/9 - (160*d[10])/9 + (160*d[11])/9 + (160*d[12])/9 + 
       (64*d[14])/3 + (56*d[20])/9 + (104*d[23])/9 + (16*d[24])/9)*
      HPL[{1}, 1 - v]*Qep[w, u, v] + ((-32*d[5])/3 - (56*d[7])/3 + 
       (248*d[8])/9 - (248*d[9])/9 + (128*d[10])/9 - (176*d[11])/9 - 
       (56*d[12])/9 + (64*d[13])/3 - (64*d[14])/3 - (128*d[16])/3 + 
       (64*d[19])/9 + (80*d[20])/9 + (64*d[21])/9 - (16*d[23])/9 - 
       (992*d[24])/9 + (32*d[27])/9 + (64*d[33])/9 - (64*d[34])/9)*
      HPL[{1}, 1 - w]*Qep[w, u, v] + ((128*d[4])/9 - (64*d[5])/9 + 
       (80*d[6])/9 + (88*d[7])/9 + (88*d[8])/9 - (8*d[9])/3 - (176*d[11])/3 - 
       (80*d[12])/3 + (208*d[15])/9 + (128*d[16])/9 - (64*d[17])/3 + 
       (320*d[18])/3 - (208*d[19])/9 - (8*d[20])/9 - (400*d[21])/9 - 
       (208*d[22])/9 - 24*d[23] + (308*d[24])/9 - (128*d[27])/9)*
      HPL[{1}, 1 - u]*Qep[w, v, u] + ((544*d[7])/9 + (544*d[8])/9 - 
       (544*d[9])/9 - (320*d[10])/9 + (320*d[11])/9 + (320*d[12])/9 + 
       (32*d[14])/3 + (112*d[20])/9 + (208*d[23])/9 + (32*d[24])/9)*
      HPL[{1}, 1 - v]*Qep[w, v, u] + ((-64*d[5])/3 - (88*d[7])/3 + 
       (568*d[8])/9 - (568*d[9])/9 + (256*d[10])/9 - (208*d[11])/9 + 
       (32*d[12])/9 - (16*d[13])/3 + (64*d[14])/3 - (256*d[16])/3 + 
       (128*d[19])/9 - (56*d[20])/9 + (128*d[21])/9 - (176*d[23])/9 - 
       (1408*d[24])/9 + (64*d[27])/9 + (128*d[33])/9 - (128*d[34])/9)*
      HPL[{1}, 1 - w]*Qep[w, v, u] + ((-2*d[4])/3 + d[5]/3 - (5*d[6])/12 - 
       (7*d[7])/12 - (7*d[8])/12 + d[9]/4 - d[10]/2 + 2*d[11] + (9*d[12])/4 - 
       (13*d[15])/12 - (2*d[16])/3 - (11*d[17])/2 + (7*d[18])/2 + 
       (13*d[19])/12 + (7*d[20])/24 + (25*d[21])/12 + (13*d[22])/12 + 
       (3*d[23])/8 - (47*d[24])/48 + (2*d[27])/3)*HPL[{1}, 1 - u]^4*
      \[Zeta][2] + (-d[3]/3 - d[6]/2 - (41*d[7])/12 - (41*d[8])/12 + 
       (41*d[9])/12 + (23*d[10])/6 - (4*d[11])/3 + d[12]/3 - d[14]/2 - 
       d[15] - 18*d[17] + (62*d[18])/3 + d[19] + (115*d[20])/24 + 3*d[21] - 
       d[22] + (283*d[23])/24 + 13*d[24])*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      \[Zeta][2] + (d[6]/2 - 14*d[10] + 2*d[11] + d[12]/2 - 2*d[14] - 
       8*d[15] + 6*d[17] - 12*d[18] + 8*d[19] - (7*d[20])/4 + 8*d[21] + 
       8*d[22] - (3*d[23])/2 - (57*d[24])/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*\[Zeta][2] + ((-2*d[4])/3 + d[5]/3 - (5*d[6])/12 - 
       (7*d[7])/12 - (7*d[8])/12 + d[9]/4 - d[10] + 2*d[11] + d[12]/4 - 
       4*d[14] - (13*d[15])/12 - (2*d[16])/3 + d[17] - 4*d[18] + 
       (13*d[19])/12 + (619*d[20])/24 + (25*d[21])/12 + (13*d[22])/12 + 
       (107*d[23])/8 - (155*d[24])/48 + (2*d[27])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*\[Zeta][2] + ((-13*d[7])/12 - (13*d[8])/12 + 
       (13*d[9])/12 + (5*d[10])/3 - (13*d[11])/6 - (13*d[12])/6 - d[14]/2 + 
       (103*d[20])/24 + (31*d[23])/24 - (11*d[24])/12)*HPL[{1}, 1 - v]^4*
      \[Zeta][2] + ((-2*d[4])/3 + d[5]/4 + 2*d[6] + (5*d[7])/6 - (7*d[8])/4 + 
       (7*d[9])/4 + d[10]/6 + (11*d[11])/12 - (119*d[12])/24 - d[13]/4 + 
       d[15] + d[16] + 17*d[17] - 22*d[18] - (7*d[19])/6 - (41*d[20])/24 - 
       (7*d[21])/6 - d[22] - (5*d[23])/24 - (5*d[24])/12 - d[27]/12 - 
       d[33]/6 + d[34]/6)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (-2*d[3] - (2*d[4])/3 - (8*d[5])/3 - (2*d[6])/3 - d[7]/3 + (14*d[8])/3 - 
       5*d[9] + 11*d[10] + 3*d[11] + (11*d[12])/2 - (3*d[13])/2 - 2*d[14] - 
       (13*d[15])/3 - (26*d[16])/3 - 19*d[17] + 14*d[18] + (22*d[19])/3 + 
       (191*d[20])/12 + (7*d[21])/3 + (16*d[22])/3 - 7*d[23] - 
       (163*d[24])/6 + 2*d[26] + (5*d[27])/3 + 2*d[33] - 2*d[34])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (d[6]/2 - (55*d[7])/3 - (55*d[8])/3 + (55*d[9])/3 + (32*d[10])/3 - 
       (2*d[11])/3 - (11*d[12])/3 - 2*d[13] + 6*d[14] - d[15] + 12*d[17] - 
       24*d[18] + d[19] - (67*d[20])/3 + d[21] + d[22] - (89*d[23])/6 - 
       (83*d[24])/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      \[Zeta][2] + (d[5] + (9*d[7])/4 - (19*d[8])/12 + (19*d[9])/12 - 
       (11*d[10])/6 - (55*d[11])/6 - (247*d[12])/24 - d[13]/4 - 2*d[14] + 
       4*d[16] - (2*d[19])/3 + (79*d[20])/24 - (2*d[21])/3 + (43*d[23])/24 + 
       (31*d[24])/12 - d[27]/3 - (2*d[33])/3 + (2*d[34])/3)*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*\[Zeta][2] + ((-3*d[5])/2 + d[6]/2 - d[7] + 
       (5*d[8])/2 - (3*d[9])/2 - (5*d[10])/2 + (29*d[12])/2 - (3*d[13])/4 - 
       d[14] + 4*d[15] - 3*d[16] - (15*d[17])/2 + 13*d[18] - (5*d[19])/2 + 
       (5*d[20])/2 - 7*d[21] - (7*d[22])/2 - d[23]/2 + (15*d[24])/4 + 
       d[26]/2 + d[27]/2 + d[33] - d[34])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      \[Zeta][2] + (4*d[4] + 2*d[5] - d[6]/2 + 10*d[7] - (46*d[8])/3 + 
       (52*d[9])/3 + (8*d[10])/3 - (8*d[11])/3 - (73*d[12])/6 + 2*d[13] - 
       d[14] + 5*d[16] + 14*d[17] - 30*d[18] - (5*d[19])/3 + (71*d[20])/3 + 
       (13*d[21])/3 - d[22] + (41*d[23])/3 + (415*d[24])/12 - (16*d[27])/3 - 
       (2*d[33])/3 + (2*d[34])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*\[Zeta][2] + ((17*d[7])/2 + (21*d[8])/2 - 
       (21*d[9])/2 - 5*d[10] - 13*d[11] - (19*d[12])/2 + d[13]/2 - 
       (5*d[14])/2 + (113*d[20])/4 + 13*d[23] + 12*d[24])*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*\[Zeta][2] + (-4*d[2] - d[4]/6 + d[5]/12 + d[6]/12 - 
       d[7]/3 - d[8]/3 + d[9]/4 - (3*d[10])/4 + (5*d[11])/4 - (29*d[12])/4 - 
       d[13]/3 + (5*d[14])/3 - (11*d[15])/6 - d[16]/6 + 5*d[17] - 12*d[18] + 
       (11*d[19])/6 - d[20]/24 + (25*d[21])/12 + (11*d[22])/6 - 
       (59*d[23])/24 - (115*d[24])/48 + d[27]/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^3*\[Zeta][2] + (-2*d[2] - (25*d[7])/12 - (73*d[8])/12 + 
       (73*d[9])/12 + (5*d[10])/3 + (5*d[11])/6 - (2*d[12])/3 - d[13] - 
       (3*d[14])/2 + (89*d[20])/8 + (127*d[23])/24 + (79*d[24])/12)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*\[Zeta][2] + 
     (d[5] + (3*d[7])/4 - (31*d[8])/12 + (31*d[9])/12 - (4*d[10])/3 + 
       (5*d[11])/6 - (7*d[12])/24 - d[13]/4 + 4*d[16] - (2*d[19])/3 + 
       (25*d[20])/24 - (2*d[21])/3 + (25*d[23])/24 + (73*d[24])/12 - 
       d[27]/3 - (2*d[33])/3 + (2*d[34])/3)*HPL[{1}, 1 - w]^4*\[Zeta][2] + 
     (-2*d[3] - (13*d[4])/3 + (5*d[5])/3 - (19*d[6])/12 - (35*d[7])/12 - 
       (35*d[8])/12 + (5*d[9])/4 + d[10]/2 + (15*d[11])/2 + (13*d[12])/4 - 
       (29*d[15])/12 - (10*d[16])/3 + (9*d[17])/2 - (33*d[18])/2 + 
       (29*d[19])/12 + (23*d[20])/24 + (113*d[21])/12 + (5*d[22])/12 + 
       (71*d[23])/8 + (725*d[24])/48 + (10*d[27])/3)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + ((4*d[4])/3 - (2*d[5])/3 - (2*d[6])/3 - 
       (59*d[7])/4 - (59*d[8])/4 + (185*d[9])/12 - (25*d[10])/6 - 
       (46*d[11])/3 - (55*d[12])/3 - (5*d[14])/2 - (16*d[15])/3 - 
       (2*d[16])/3 + 11*d[17] - 11*d[18] + (16*d[19])/3 - (63*d[20])/8 + 
       (25*d[21])/3 + (16*d[22])/3 - (361*d[23])/24 - 6*d[24] - (4*d[27])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     ((67*d[7])/6 + (67*d[8])/6 - (67*d[9])/6 + (17*d[10])/3 - (11*d[11])/3 - 
       (11*d[12])/3 + 6*d[13] - 4*d[14] - (53*d[20])/6 - (22*d[23])/3 - 
       (59*d[24])/3)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (-4*d[3] + 2*d[4] - (3*d[5])/4 - 4*d[6] + (5*d[7])/2 - (65*d[8])/12 + 
       (29*d[9])/12 + (29*d[10])/6 + (107*d[11])/12 + (469*d[12])/24 - 
       (5*d[13])/4 - 2*d[15] + 9*d[16] + 16*d[17] - 40*d[18] + d[19]/6 + 
       (143*d[20])/24 - (23*d[21])/6 + d[22] - (73*d[23])/24 + (97*d[24])/6 + 
       d[26] + (31*d[27])/12 - (5*d[33])/6 + (5*d[34])/6 + 8*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (16*d[3] - 12*d[4] - 13*d[5] - 20*d[7] - (145*d[8])/3 + (115*d[9])/3 - 
       (61*d[10])/3 - (5*d[11])/3 - (31*d[12])/6 - 3*d[13] + 6*d[14] + 
       4*d[15] + 40*d[16] - 4*d[17] - 8*d[18] - (26*d[19])/3 + (56*d[20])/3 - 
       (14*d[21])/3 - 12*d[22] + (35*d[23])/3 + (247*d[24])/3 - (7*d[27])/3 - 
       8*d[31] - 4*d[32] + (10*d[33])/3 + (14*d[34])/3 - 24*d[36])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     ((-14*d[2])/3 + 8*d[3] - 8*d[4] - (19*d[5])/2 - 3*d[6] + 10*d[7] - 
       (25*d[8])/2 + (15*d[9])/2 + 3*d[10] + (3*d[11])/2 - (11*d[12])/2 + 
       7*d[13] - 12*d[14] + 2*d[15] + 12*d[16] - 2*d[17] - 4*d[18] - 
       3*d[19] + (45*d[20])/2 - d[21] - 6*d[22] + (31*d[23])/2 + 52*d[24] + 
       d[26] - d[27]/2 - 4*d[31] - 2*d[32] + 3*d[33] + d[34] - 12*d[36])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (8*d[15] - 8*d[19] - 5*d[20] - 8*d[21] - 8*d[22] + 6*d[23] + 15*d[24])*
      HPL[{0, 1}, 1 - u]^2*\[Zeta][2] + 
     (-2*d[3] - (13*d[4])/3 + (13*d[5])/6 - (7*d[6])/3 - (11*d[7])/3 - 
       (11*d[8])/3 + (3*d[9])/2 + (13*d[10])/2 + 15*d[11] + 12*d[12] - 
       (14*d[15])/3 - (13*d[16])/3 + (9*d[17])/2 - (51*d[18])/2 + 
       (14*d[19])/3 + (19*d[20])/3 + (26*d[21])/3 + (14*d[22])/3 + 7*d[23] - 
       (85*d[24])/12 + (13*d[27])/3)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + ((-10*d[4])/3 + (5*d[5])/3 - (25*d[6])/12 - 
       (445*d[7])/12 - (445*d[8])/12 + (425*d[9])/12 - (23*d[10])/3 + 
       (35*d[11])/3 + (35*d[12])/12 - 2*d[14] - (221*d[15])/12 - 
       (10*d[16])/3 - 2*d[17] - 17*d[18] + (221*d[19])/12 - (701*d[20])/24 + 
       (281*d[21])/12 + (221*d[22])/12 - (475*d[23])/24 - (1163*d[24])/48 + 
       (10*d[27])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + ((-65*d[7])/12 - (65*d[8])/12 + (65*d[9])/12 + 
       (25*d[10])/3 - (65*d[11])/6 - (65*d[12])/6 - (5*d[14])/2 + 
       (515*d[20])/24 + (155*d[23])/24 - (55*d[24])/12)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (4*d[3] - (10*d[4])/3 - (13*d[5])/3 - 
       d[6]/3 + (34*d[7])/3 + (2*d[8])/3 + (11*d[9])/3 - (26*d[10])/3 + 
       (14*d[11])/3 - (35*d[12])/6 + 3*d[13] - 3*d[14] + (10*d[15])/3 + 
       (5*d[16])/3 + 4*d[17] - 8*d[18] - (14*d[19])/3 - (16*d[20])/3 - 
       (26*d[21])/3 - (16*d[22])/3 - (7*d[23])/6 + (223*d[24])/12 - d[26] + 
       (2*d[27])/3 + (2*d[33])/3 - (2*d[34])/3 - 4*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (5*d[5] + (181*d[7])/12 - (49*d[8])/12 + (49*d[9])/12 + (31*d[10])/6 - 
       (25*d[11])/6 - (235*d[12])/24 - (17*d[13])/4 - 2*d[14] + 20*d[16] - 
       (10*d[19])/3 + (1267*d[20])/24 - (10*d[21])/3 + (571*d[23])/24 + 
       (547*d[24])/12 - (5*d[27])/3 - (10*d[33])/3 + (10*d[34])/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (7*d[5] + 3*d[7] - (26*d[8])/3 + (26*d[9])/3 - (91*d[10])/6 + 
       (5*d[11])/3 - (17*d[12])/6 - 4*d[13] + 10*d[14] + 2*d[15] + 20*d[16] - 
       (16*d[19])/3 + (7*d[20])/12 - (41*d[21])/6 - d[22] + (13*d[23])/3 + 
       (365*d[24])/12 - (5*d[27])/3 - (13*d[33])/3 + (13*d[34])/3)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (4*d[3] - 6*d[4] - d[5] - d[6] - d[7] - 9*d[8] + 4*d[9] - 5*d[10] + 
       4*d[11] - 4*d[12] + 10*d[14] + 6*d[15] + 11*d[16] - 6*d[19] - 
       5*d[20] + 2*d[21] - 8*d[22] + 10*d[23] + 31*d[24] - d[26] + 2*d[27] + 
       2*d[33] - 2*d[34] - 12*d[36])*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + (12*d[3] - 10*d[4] - (5*d[5])/2 + 3*d[6] + (23*d[7])/2 + 
       (9*d[8])/2 - 4*d[9] - (19*d[10])/2 + (5*d[11])/2 - 4*d[12] - 4*d[13] + 
       (15*d[15])/2 + 11*d[16] + 10*d[17] - d[18] - (23*d[19])/2 + 
       (41*d[20])/2 - 2*d[21] - (33*d[22])/2 + (27*d[23])/2 + (83*d[24])/4 - 
       d[27] - 2*d[31] - 3*d[32] + 4*d[33] - 2*d[34] - 12*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (24*d[3] - (68*d[4])/3 - (35*d[5])/3 - (20*d[6])/3 + (35*d[7])/3 + 
       (59*d[8])/3 - 24*d[9] + 29*d[10] + 41*d[11] + 15*d[12] - 4*d[13] - 
       10*d[14] - (49*d[15])/3 - (20*d[16])/3 - 11*d[17] - 29*d[18] + 
       (16*d[19])/3 - (125*d[20])/6 + (109*d[21])/3 - (20*d[22])/3 - 
       20*d[23] - (743*d[24])/12 - (10*d[27])/3 - 8*d[31] - 2*d[32] + 
       12*d[33] - 4*d[34] - 24*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + ((-173*d[7])/6 - (173*d[8])/6 + 
       (173*d[9])/6 + (8*d[10])/3 - (23*d[11])/3 - (23*d[12])/3 + 6*d[14] + 
       6*d[17] + 6*d[18] + (151*d[20])/6 + (61*d[23])/6 + (73*d[24])/3)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     ((-5*d[4])/6 + (5*d[5])/12 - (13*d[6])/12 + (5*d[7])/6 + (5*d[8])/6 - 
       (5*d[9])/4 - (35*d[10])/4 + (49*d[11])/4 + (37*d[12])/4 - 9*d[13] + 
       3*d[14] - (13*d[15])/6 + (97*d[16])/6 + 7*d[17] - 22*d[18] + d[19]/6 - 
       (145*d[20])/24 - (115*d[21])/12 + (13*d[22])/6 - (77*d[23])/8 + 
       (149*d[24])/48 + d[26] + (5*d[27])/6 - 2*d[33] + 2*d[34] + 8*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (d[5] - (35*d[7])/12 - (45*d[8])/4 + (45*d[9])/4 + 11*d[10] - 
       (5*d[11])/2 - 2*d[12] + 7*d[13] - (17*d[14])/2 + 4*d[15] - 8*d[16] - 
       (8*d[19])/3 + (109*d[20])/8 - (17*d[21])/3 - 2*d[22] + (57*d[23])/8 + 
       (11*d[24])/4 - d[27]/3 - (2*d[33])/3 + (2*d[34])/3)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (-2*d[2] + 7*d[5] + (15*d[7])/4 - (155*d[8])/12 + (155*d[9])/12 - 
       (23*d[10])/3 + (25*d[11])/6 - (23*d[12])/24 - d[13]/4 + 4*d[14] + 
       20*d[16] - (10*d[19])/3 + (395*d[20])/24 - (10*d[21])/3 + 
       (287*d[23])/24 + (449*d[24])/12 - (5*d[27])/3 - (10*d[33])/3 + 
       (10*d[34])/3)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (2*d[3] + 2*d[4] - 12*d[5] + 6*d[6] + 2*d[7] + 5*d[8] - 14*d[9] + 
       10*d[10] - 7*d[11] + 2*d[12] - 6*d[14] + 3*d[15] - 18*d[16] - 
       6*d[18] - d[19] + (9*d[20])/2 - 2*d[21] - 7*d[22] - 5*d[23] - 
       (37*d[24])/2 - d[27] - 2*d[31] - d[32] + 6*d[33] - 4*d[34])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (4*d[3] - 12*d[4] + 3*d[5] + 5*d[6] + 7*d[7] + 2*d[8] + 4*d[9] - 
       15*d[10] + 16*d[11] - 6*d[12] + 14*d[14] - 6*d[15] + 19*d[16] - 
       d[17] + 3*d[18] + 3*d[19] - 4*d[20] + 16*d[21] + 3*d[22] + 10*d[23] + 
       8*d[24] - d[26] - 5*d[27] - 12*d[36])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + (-16*d[15] + 16*d[19] + 10*d[20] + 
       16*d[21] + 16*d[22] - 12*d[23] - 30*d[24])*HPL[{0, 1}, 1 - w]^2*
      \[Zeta][2] + (2*d[4] - 8*d[5] - d[6]/4 - d[7]/4 - (5*d[8])/4 - 
       (55*d[9])/4 + (7*d[10])/2 - 16*d[11] - (35*d[12])/4 + 8*d[13] + 
       (33*d[15])/4 - 11*d[16] + 7*d[17] - 14*d[18] - (13*d[19])/4 + 
       (57*d[20])/8 - (5*d[21])/4 - (53*d[22])/4 + (55*d[23])/8 - 
       (113*d[24])/16 + d[27] + 10*d[33] - 10*d[34])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + (-4*d[5] - (3*d[7])/4 + d[8]/4 + 
       (19*d[9])/4 - (7*d[10])/2 - d[11] + 8*d[13] - (13*d[14])/2 - d[16] - 
       9*d[19] + (21*d[20])/8 - 2*d[21] - 7*d[22] - (31*d[23])/8 - 
       (93*d[24])/4 - d[27] - 2*d[33] + 2*d[34])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (-4*d[2] + (21*d[5])/4 + (23*d[7])/2 + (25*d[8])/4 - (37*d[9])/4 + 
       d[10]/2 + (17*d[11])/4 - (9*d[12])/8 - (29*d[13])/4 + 8*d[14] + 
       15*d[16] + d[19]/2 - (3*d[20])/8 - (3*d[21])/2 + 2*d[22] + 
       (9*d[23])/8 + (91*d[24])/4 - (3*d[27])/4 - (3*d[33])/2 + (3*d[34])/2)*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (-2*d[3] - 5*d[5] - (11*d[6])/4 - (7*d[7])/4 - (55*d[8])/4 + 
       (51*d[9])/4 + 7*d[10] - 26*d[11] - (7*d[12])/4 - 6*d[13] + 12*d[14] + 
       (37*d[15])/4 + 9*d[16] + 23*d[17] - 20*d[18] - (41*d[19])/4 - 
       (115*d[20])/8 - (69*d[21])/4 - (41*d[22])/4 + (67*d[23])/8 + 
       (1071*d[24])/16 + 4*d[26] - 2*d[27] - 2*d[31] + 3*d[32] - 4*d[33] + 
       2*d[34] - 12*d[36])*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     ((29*d[7])/4 + (77*d[8])/4 - (77*d[9])/4 - 13*d[10] - (23*d[11])/2 + 
       d[12]/2 + 2*d[13] + (3*d[14])/2 + 12*d[17] - (103*d[20])/8 - 
       (175*d[23])/8 - (117*d[24])/4)*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      \[Zeta][2] + (-4*d[2] + 2*d[3] - 2*d[4] + 5*d[5] - d[6] + (31*d[7])/4 + 
       (77*d[8])/4 - (37*d[9])/4 + (7*d[10])/2 + (31*d[11])/2 + 
       (223*d[12])/8 + (15*d[13])/4 + 2*d[14] - 8*d[15] - 7*d[16] - 
       10*d[17] + 12*d[18] + 9*d[19] + (33*d[20])/8 + 12*d[21] + 3*d[22] - 
       (147*d[23])/8 - (217*d[24])/4 + 3*d[26] + d[27] + 2*d[31] - d[32] + 
       6*d[33] - 8*d[34] - 12*d[36])*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
      \[Zeta][2] + (2*d[3] - (7*d[4])/2 + (7*d[5])/4 - (15*d[6])/4 - 
       (3*d[7])/2 - d[8]/2 + (7*d[9])/4 + (25*d[10])/4 + (5*d[11])/4 + 
       (7*d[12])/4 + (21*d[15])/2 - (3*d[16])/2 + 11*d[17] - 22*d[18] - 
       (17*d[19])/2 + (33*d[20])/8 - (5*d[21])/4 - (25*d[22])/2 + 
       (35*d[23])/8 + (63*d[24])/16 + d[27]/2)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + (8*d[3] + 6*d[4] - 2*d[5] - 2*d[6] - 
       (21*d[7])/4 - (33*d[8])/4 + (5*d[9])/4 - 9*d[10] - (19*d[11])/2 - 
       (23*d[12])/2 + (27*d[14])/2 - 6*d[15] - 2*d[16] + 13*d[17] - 9*d[18] + 
       10*d[19] + (37*d[20])/8 + 8*d[21] + 10*d[22] + (29*d[23])/8 + 
       (45*d[24])/4 + 5*d[27])*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
      \[Zeta][2] + (-2*d[3] - 10*d[5] - 10*d[6] + (55*d[7])/4 + (59*d[8])/4 - 
       (83*d[9])/4 + d[10] + (13*d[11])/2 + (139*d[12])/8 + (15*d[13])/4 + 
       2*d[14] - 4*d[15] - 7*d[16] - 10*d[17] + 12*d[18] + 5*d[19] + 
       (13*d[20])/8 + 8*d[21] - d[22] - (91*d[23])/8 - (161*d[24])/4 - 
       4*d[27] + 2*d[31] - d[32] + 6*d[33] - 8*d[34])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + (4*d[3] + (8*d[4])/3 - (4*d[5])/3 + 
       (2*d[6])/3 + (31*d[7])/3 + (31*d[8])/3 - 9*d[9] - 6*d[10] + 2*d[11] + 
       d[12] - (5*d[15])/3 + (8*d[16])/3 + 10*d[17] - 8*d[18] + (5*d[19])/3 - 
       d[20]/6 - (19*d[21])/3 + (17*d[22])/3 - (31*d[23])/2 - 
       (319*d[24])/12 - (8*d[27])/3)*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][2] + (32*d[3] - 40*d[4] - 34*d[5] + 4*d[6] + (25*d[7])/3 - 
       (77*d[8])/3 - (7*d[9])/3 - (92*d[10])/3 + (140*d[11])/3 + 
       (50*d[12])/3 + 48*d[13] + 6*d[14] - 8*d[15] + 8*d[16] - 48*d[17] - 
       4*d[18] - 12*d[19] + (659*d[20])/6 + 32*d[21] - 36*d[22] + 
       (131*d[23])/6 + (35*d[24])/3 + 10*d[27] - 16*d[31] - 8*d[32] + 
       24*d[33] - 8*d[34] - 48*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][2] + (-4*d[3] + 4*d[4] + 10*d[5] - 20*d[7] + (34*d[8])/3 - 
       (4*d[9])/3 + (94*d[10])/3 - (28*d[11])/3 - (83*d[12])/6 - 3*d[13] - 
       4*d[14] - 18*d[15] - 50*d[16] - 4*d[17] + 36*d[18] + (110*d[19])/3 - 
       (86*d[20])/3 + (56*d[21])/3 + 44*d[22] + (95*d[23])/6 - 
       (251*d[24])/6 + (4*d[27])/3 + 4*d[31] + 2*d[32] - (28*d[33])/3 + 
       (16*d[34])/3 + 8*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][2] + ((8*d[4])/3 - (4*d[5])/3 + (5*d[6])/3 + (34*d[7])/3 + 
       (34*d[8])/3 - 10*d[9] + 18*d[10] - 8*d[11] + 9*d[12] + (19*d[15])/3 + 
       (8*d[16])/3 + 18*d[17] - 16*d[18] - (19*d[19])/3 - (73*d[20])/6 - 
       (31*d[21])/3 - (19*d[22])/3 - (5*d[23])/2 + (89*d[24])/12 - 
       (8*d[27])/3)*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     ((-11*d[7])/3 - (11*d[8])/3 + (11*d[9])/3 - (26*d[10])/3 + 
       (50*d[11])/3 + (50*d[12])/3 + 2*d[14] - (199*d[20])/6 - (79*d[23])/6 + 
       (35*d[24])/3)*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     (-4*d[5] - 6*d[7] + (28*d[8])/3 - (28*d[9])/3 + (52*d[10])/3 - 
       (16*d[11])/3 - (5*d[12])/6 + 7*d[13] - 4*d[14] + 4*d[15] - 16*d[16] - 
       (4*d[19])/3 - (20*d[20])/3 - (4*d[21])/3 - 4*d[22] + (11*d[23])/6 - 
       (185*d[24])/6 + (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     (-26*d[3] + (80*d[4])/3 + (62*d[5])/3 + (14*d[6])/3 - (2*d[7])/3 + 
       (34*d[8])/3 + 12*d[9] - 2*d[10] - 32*d[11] + 7*d[12] + 10*d[13] + 
       12*d[14] - (5*d[15])/3 - (88*d[16])/3 + 28*d[17] - 18*d[18] + 
       (35*d[19])/3 - (265*d[20])/6 + (5*d[21])/3 + (47*d[22])/3 - 
       (7*d[23])/2 - (289*d[24])/12 - (20*d[27])/3 + 16*d[31] + 4*d[32] - 
       4*d[33] - 12*d[34] + 8*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      \[Zeta][2] + (32*d[3] - 24*d[4] - 24*d[5] - 16*d[6] + (97*d[7])/3 - 
       (125*d[8])/3 + (47*d[9])/3 - (8*d[10])/3 + (140*d[11])/3 + 
       (14*d[12])/3 - 28*d[13] + 18*d[14] - 24*d[15] + 94*d[16] - 28*d[17] + 
       68*d[18] - 6*d[19] - (13*d[20])/6 + 30*d[21] - 18*d[22] + 
       (71*d[23])/6 + (503*d[24])/3 - 6*d[27] - 16*d[31] - 8*d[32] + 
       12*d[33] + 4*d[34] - 48*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
      \[Zeta][2] + (4*d[2] - 8*d[5] - d[7] + (31*d[8])/3 - (31*d[9])/3 - 
       (8*d[10])/3 - (10*d[11])/3 + d[12]/6 - d[13] - 4*d[14] + 4*d[15] - 
       16*d[16] - (4*d[19])/3 - (20*d[20])/3 - (4*d[21])/3 - 4*d[22] + 
       (11*d[23])/6 - (113*d[24])/6 + (4*d[27])/3 + (8*d[33])/3 - 
       (8*d[34])/3)*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (-2*d[2] - 2*d[5] + 4*d[7] + 6*d[8] - 8*d[9] + d[10])*
      HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (12*d[3] - 4*d[4] + 2*d[5] + 2*d[7] + 4*d[8] - 2*d[10] + 5*d[11] + 
       12*d[14] + 7*d[15] + 10*d[17] - 10*d[18] - 2*d[19] - 12*d[20] - 
       4*d[22] + 2*d[23] - 6*d[24] - 2*d[27])*HPL[{0, 0, 0, 1}, 1 - w]*
      \[Zeta][2] + (-14*d[5] + 4*d[6] + 2*d[7] + 36*d[8] - 12*d[9] + 
       28*d[10] + 4*d[11] + 4*d[12] - 70*d[16] + 2*d[19] - 4*d[21] + 
       6*d[22] - 46*d[24] + 2*d[27] - 4*d[33] + 4*d[34])*
      HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2] + 
     (-4*d[3] + 32*d[4] + 2*d[5] + 14*d[6] - 2*d[7] - 12*d[8] + 16*d[9] - 
       14*d[10] - 30*d[11] - 4*d[12] - 4*d[13] + 8*d[15] + 2*d[16] + 
       26*d[17] - 40*d[18] - 6*d[19] - 16*d[20] - 40*d[21] - 6*d[22] - 
       4*d[23] + 8*d[24] - 2*d[27] - 4*d[31] + 6*d[32] + 4*d[34])*
      HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (48*d[3] - 40*d[4] - 36*d[5] - 36*d[6] - 3*d[7] - 75*d[8] + 39*d[9] - 
       24*d[10] - 15*d[11] - 6*d[12] + 48*d[13] - 6*d[15] + 72*d[16] - 
       33*d[17] + 9*d[18] - 32*d[19] + 33*d[20] - 54*d[22] + 18*d[23] + 
       135*d[24] + 12*d[26] - 24*d[31] - 12*d[32] + 24*d[33] - 72*d[36])*
      HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2] + 
     (48*d[3] - 48*d[4] - 36*d[5] - 6*d[6] + 24*d[7] - 36*d[9] + 24*d[10] + 
       54*d[11] + 18*d[12] - 24*d[13] + 12*d[14] + 72*d[16] - 18*d[17] + 
       54*d[18] - 36*d[19] + 33*d[20] - 60*d[22] - 6*d[23] + 72*d[24] + 
       6*d[26] - 24*d[31] - 12*d[32] + 24*d[33] - 72*d[36])*
      HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2] + 
     ((24*d[4])/5 - (12*d[5])/5 + (24*d[6])/5 + (18*d[7])/5 + (18*d[8])/5 - 
       (6*d[9])/5 + (12*d[10])/5 - (72*d[11])/5 - (48*d[12])/5 + 
       (36*d[15])/5 + (24*d[16])/5 - (24*d[17])/5 + 24*d[18] - (36*d[19])/5 - 
       (6*d[20])/5 - (72*d[21])/5 - (36*d[22])/5 - (18*d[23])/5 + 
       (22*d[24])/5 - (24*d[27])/5)*HPL[{1}, 1 - u]^2*\[Zeta][2]^2 + 
     ((-16*d[3])/5 + (24*d[4])/5 - (12*d[5])/5 + (18*d[6])/5 + 22*d[7] + 
       (126*d[8])/5 - (114*d[9])/5 - (8*d[10])/5 - (48*d[11])/5 + 
       (24*d[12])/5 + (24*d[14])/5 + (76*d[15])/5 + (24*d[16])/5 - 
       (24*d[17])/5 + 24*d[18] - (76*d[19])/5 - (7*d[20])/5 - (112*d[21])/5 - 
       (76*d[22])/5 + (18*d[23])/5 + (81*d[24])/5 - (24*d[27])/5)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][2]^2 + 
     ((12*d[7])/5 + (12*d[8])/5 - (12*d[9])/5 - (48*d[10])/5 + (96*d[11])/5 + 
       (96*d[12])/5 + (24*d[14])/5 - (192*d[20])/5 - (66*d[23])/5 + 
       (48*d[24])/5)*HPL[{1}, 1 - v]^2*\[Zeta][2]^2 + 
     ((-32*d[2])/5 - (6*d[6])/5 - (24*d[7])/5 + (48*d[8])/5 - (48*d[9])/5 - 
       (68*d[11])/5 - (58*d[12])/5 + (12*d[13])/5 + (36*d[15])/5 - 
       (24*d[17])/5 + 24*d[18] - (36*d[19])/5 - (6*d[20])/5 - (36*d[21])/5 - 
       (36*d[22])/5 - 6*d[23] - 26*d[24])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      \[Zeta][2]^2 + ((-36*d[5])/5 + (42*d[7])/5 + (174*d[8])/5 - 
       (174*d[9])/5 + (24*d[10])/5 - (36*d[11])/5 + (6*d[12])/5 - 
       (28*d[13])/5 + (12*d[14])/5 - 8*d[15] - (144*d[16])/5 + (64*d[19])/5 + 
       d[20]/5 + (64*d[21])/5 + 8*d[22] - (36*d[23])/5 - (263*d[24])/5 + 
       (12*d[27])/5 - (8*d[28])/5 + 8*d[30] + (24*d[33])/5 - (24*d[34])/5)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2]^2 + 
     ((-36*d[5])/5 - (18*d[7])/5 + 18*d[8] - 18*d[9] + (48*d[10])/5 - 
       (24*d[11])/5 + (24*d[12])/5 + (6*d[13])/5 + (6*d[14])/5 - 4*d[15] - 
       (144*d[16])/5 + (44*d[19])/5 - (23*d[20])/10 + (44*d[21])/5 + 
       4*d[22] - (41*d[23])/5 - (519*d[24])/10 + (12*d[27])/5 + 
       (24*d[33])/5 - (24*d[34])/5)*HPL[{1}, 1 - w]^2*\[Zeta][2]^2 + 
     ((-32*d[2])/5 + (16*d[4])/5 - 4*d[11] - 8*d[12] - 4*d[16] - 
       (16*d[19])/5 - (4*d[29])/5)*HPL[{0, 1}, 1 - u]*\[Zeta][2]^2 + 
     ((-32*d[2])/5 + (16*d[3])/5 + (16*d[7])/5 + 4*d[10] - 4*d[11] - 
       8*d[12] + 8*d[13] + 4*d[16] + (16*d[19])/5 + (32*d[23])/5 - 8*d[24] + 
       (8*d[28])/5 + (4*d[29])/5 - 8*d[30])*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2 + 
     (-d[3] - (8*d[4])/3 + (4*d[5])/3 - (23*d[6])/12 - (7*d[7])/3 - 
       (7*d[8])/3 + d[9] + 4*d[10] + (16*d[11])/3 + (37*d[12])/6 - 
       (29*d[15])/6 - (8*d[16])/3 + 3*d[17] - (29*d[18])/3 + (29*d[19])/6 + 
       (5*d[20])/3 + (59*d[21])/6 + (23*d[22])/6 + 2*d[23] + (31*d[24])/8 + 
       (8*d[27])/3)*HPL[{1}, 1 - u]^3*\[Zeta][3] + 
     (2*d[3] - (53*d[7])/6 - (53*d[8])/6 + (53*d[9])/6 - (10*d[10])/3 - 
       (8*d[11])/3 - (14*d[12])/3 - d[15] + 4*d[17] - 4*d[18] + d[19] - 
       (19*d[20])/12 + d[21] + d[22] - (43*d[23])/12 + (79*d[24])/12)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][3] + 
     ((-8*d[4])/3 + (4*d[5])/3 - (5*d[6])/3 - (109*d[7])/12 - (109*d[8])/12 + 
       (31*d[9])/4 - 4*d[10] + (29*d[11])/2 + (7*d[12])/2 - 2*d[14] - 
       (17*d[15])/6 - (8*d[16])/3 - 6*d[17] - 12*d[18] + (17*d[19])/6 + 
       (17*d[20])/12 + (41*d[21])/6 + (17*d[22])/6 + (49*d[23])/4 - 
       (109*d[24])/24 + (8*d[27])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      \[Zeta][3] + ((8*d[7])/3 + (8*d[8])/3 - (8*d[9])/3 + (20*d[10])/3 - 
       (32*d[11])/3 - (32*d[12])/3 - 2*d[14] + (71*d[20])/3 + (26*d[23])/3 - 
       (26*d[24])/3)*HPL[{1}, 1 - v]^3*\[Zeta][3] + 
     (d[3] + 2*d[4] - 5*d[5] + d[6]/2 + 2*d[7] - (5*d[8])/6 - (2*d[9])/3 + 
       (85*d[10])/6 - (2*d[11])/3 + (133*d[12])/12 + d[15] - (17*d[16])/2 - 
       8*d[18] + (4*d[19])/3 + (17*d[20])/12 - (2*d[21])/3 + 2*d[22] - 
       (37*d[23])/3 - (41*d[24])/3 - d[26]/2 + d[27]/6 + (4*d[33])/3 - 
       (4*d[34])/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (-2*d[4] + 12*d[5] - (7*d[7])/2 - (33*d[8])/2 + (23*d[9])/2 + 5*d[10] + 
       18*d[11] - (13*d[12])/2 - d[14] + 6*d[16] - 3*d[17] - 3*d[18] - 
       2*d[19] + (11*d[20])/4 + 9*d[21] + d[22] + 14*d[23] + (145*d[24])/4 - 
       d[26] - d[27] + 2*d[30] - 3*d[33] + 3*d[34])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (4*d[5] + (23*d[7])/4 - (91*d[8])/12 + (91*d[9])/12 - d[10]/3 - 
       (19*d[11])/6 - (43*d[12])/6 - (9*d[13])/2 + d[14] + 16*d[16] - 
       (8*d[19])/3 + (131*d[20])/12 - (8*d[21])/3 + (20*d[23])/3 + 
       (175*d[24])/3 - (4*d[27])/3 - (8*d[33])/3 + (8*d[34])/3)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][3] + 
     ((4*d[4])/3 + (5*d[5])/6 + (31*d[6])/12 - d[7]/12 + (5*d[8])/12 - 
       (11*d[9])/4 + 4*d[10] + (5*d[11])/2 - (15*d[12])/2 - (3*d[13])/2 - 
       d[14]/2 + d[15]/6 - (19*d[16])/6 - 14*d[18] + (4*d[19])/3 - 
       (23*d[20])/24 + (4*d[21])/3 - d[22]/6 + (15*d[23])/2 - 
       (119*d[24])/12 + d[26]/2 - (11*d[27])/6 - d[30] + (3*d[33])/2 - 
       (3*d[34])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     (-2*d[5] - (16*d[7])/3 - (13*d[8])/3 + (13*d[9])/3 - d[10]/3 + 
       (4*d[11])/3 + (17*d[12])/6 + 2*d[13] - 6*d[14] - (61*d[20])/12 - 
       (67*d[23])/12 - (61*d[24])/6)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      \[Zeta][3] + (-d[2] + 5*d[5] + d[7] - (25*d[8])/3 + (25*d[9])/3 - 
       (16*d[10])/3 + (10*d[11])/3 - (11*d[12])/12 - d[13]/2 + d[14] + 
       16*d[16] - (8*d[19])/3 + d[20]/4 - (8*d[21])/3 + (11*d[23])/6 + 
       26*d[24] - (4*d[27])/3 - (8*d[33])/3 + (8*d[34])/3)*HPL[{1}, 1 - w]^3*
      \[Zeta][3] + (-2*d[3] - (8*d[4])/3 - (5*d[5])/3 - (13*d[6])/6 - 
       (13*d[7])/3 + (2*d[8])/3 - 6*d[9] - 9*d[10] + 8*d[11] + 6*d[12] - 
       (28*d[15])/3 - (50*d[16])/3 - 14*d[18] + (34*d[19])/3 + (19*d[20])/6 + 
       (67*d[21])/3 + (28*d[22])/3 + (3*d[23])/2 - (44*d[24])/3 - d[26] + 
       (17*d[27])/3 + 2*d[33] - 2*d[34] + 4*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*\[Zeta][3] + (-2*d[4] + 2*d[5] - 3*d[6] - 
       (173*d[7])/6 - (323*d[8])/6 + (239*d[9])/6 - (31*d[10])/3 + 
       (7*d[11])/3 - (11*d[12])/3 + 8*d[13] - 8*d[14] - d[15] + 20*d[16] + 
       3*d[17] + 7*d[18] - 2*d[19] + (11*d[20])/3 + 2*d[21] + 2*d[22] - 
       (7*d[23])/3 + (437*d[24])/6 - d[26] + d[27] + 4*d[30] - 4*d[33] + 
       4*d[34])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     (2*d[3] + 2*d[4] - d[5] - 2*d[6] + 11*d[7] - (40*d[8])/3 + (25*d[9])/3 + 
       (11*d[10])/3 + (4*d[11])/3 + (7*d[12])/3 - 15*d[13] + 2*d[14] + 
       4*d[15] + 23*d[16] - 4*d[17] - 4*d[18] - (29*d[19])/3 - (65*d[20])/6 - 
       (50*d[21])/3 - 7*d[22] + (13*d[23])/6 + (287*d[24])/6 + 2*d[26] - 
       (13*d[27])/3 - 4*d[30] - 2*d[31] - d[32] - (8*d[33])/3 + (14*d[34])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     (2*d[3] - (20*d[4])/3 + (19*d[5])/3 - (11*d[6])/3 - (23*d[7])/6 - 
       (29*d[8])/6 + (3*d[9])/2 - 15*d[10] + 13*d[11] + 2*d[12] - 
       (34*d[15])/3 + (19*d[16])/3 + 2*d[17] - 16*d[18] + (28*d[19])/3 + 
       (13*d[20])/6 + (43*d[21])/3 + (28*d[22])/3 + 2*d[23] - (26*d[24])/3 + 
       d[26] + (11*d[27])/3 - 2*d[33] + 2*d[34] - 8*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*\[Zeta][3] + ((26*d[7])/3 + (44*d[8])/3 - 
       (44*d[9])/3 + (14*d[10])/3 - (86*d[11])/3 - (68*d[12])/3 - 2*d[13] - 
       2*d[14] + 6*d[17] + (247*d[20])/6 + (43*d[23])/6 - (83*d[24])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][3] + 
     (-2*d[2] - 2*d[4] + 6*d[5] - d[6] + (15*d[7])/2 - (113*d[8])/6 + 
       (107*d[9])/6 - (46*d[10])/3 + (22*d[11])/3 - (25*d[12])/6 - 4*d[13] - 
       2*d[14] + 4*d[15] + 28*d[16] - (26*d[19])/3 + (7*d[20])/6 - 
       (29*d[21])/3 - 4*d[22] + (49*d[23])/6 + (299*d[24])/6 + d[26] - 
       d[27]/3 - (14*d[33])/3 + (14*d[34])/3 - 8*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*\[Zeta][3] + ((-20*d[4])/3 - (20*d[5])/3 + 
       (23*d[6])/6 - (43*d[7])/3 - (13*d[8])/3 + d[9] + 9*d[10] + 4*d[11] + 
       18*d[12] - 4*d[13] + 2*d[14] + (8*d[15])/3 - (74*d[16])/3 + 2*d[17] - 
       32*d[18] - (2*d[19])/3 + (11*d[20])/3 - (5*d[21])/3 - (8*d[22])/3 - 
       21*d[23] - (515*d[24])/12 + d[26] + (20*d[27])/3 - 4*d[30] + 4*d[33] - 
       2*d[34])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][3] + 
     (-14*d[4] + 6*d[5] - 3*d[6] - (155*d[7])/6 - (155*d[8])/6 + 
       (119*d[9])/6 - (10*d[10])/3 + (88*d[11])/3 - (5*d[12])/3 + 2*d[13] - 
       4*d[14] - 11*d[15] + 11*d[16] - 5*d[17] + 3*d[18] + 10*d[19] - 
       (25*d[20])/3 + 30*d[21] + 10*d[22] + (41*d[23])/3 + (95*d[24])/6 - 
       d[26] + 4*d[30])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][3] + 
     (2*d[4] + 6*d[5] + d[6] + 6*d[7] - (49*d[8])/3 + (52*d[9])/3 - 
       (46*d[10])/3 + (13*d[11])/3 + d[12]/3 - 2*d[14] + 28*d[16] - 
       (14*d[19])/3 + (11*d[20])/3 - (17*d[21])/3 + (55*d[23])/6 + 
       (127*d[24])/3 - d[26] - (13*d[27])/3 - (14*d[33])/3 + (14*d[34])/3 + 
       4*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][3] + 
     (-2*d[2] - 3*d[5] - 2*d[6] + 3*d[7] + 12*d[8] - 2*d[9] - 5*d[10] - 
       4*d[11] - 4*d[16] - 2*d[19] - 2*d[22] - 2*d[24] - d[27])*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][3] + (8*d[3] - 6*d[4] + 3*d[5] + 2*d[6] + 
       d[7] + 10*d[8] - 6*d[9] - 7*d[10] - d[11] - 2*d[14] + 2*d[15] - 
       7*d[17] + 21*d[18] + 3*d[19] + 2*d[20] - 2*d[21] + d[22] + 2*d[23] - 
       13*d[24] - 3*d[27] + 2*d[31] - d[32] + 2*d[34])*HPL[{0, 0, 1}, 1 - w]*
      \[Zeta][3] + (10*d[3] - 14*d[4] - 9*d[5] - 4*d[7] - 3*d[8] - 4*d[9] + 
       33*d[10] + 23*d[11] - 2*d[12] + 20*d[13] - 4*d[14] + 4*d[15] - 
       10*d[16] + 8*d[17] - 24*d[18] + 21*d[20] + 4*d[21] - 8*d[22] + 
       14*d[23] - 2*d[24] + 5*d[27] - 4*d[31] - 2*d[32] + 8*d[33] - 2*d[34] - 
       8*d[36])*HPL[{0, 1, 1}, 1 - u]*\[Zeta][3] + 
     (4*d[2] + 4*d[3] + 2*d[5] - 18*d[6] + 7*d[7] + 4*d[8] - 9*d[9] + 
       3*d[11] - 2*d[12] - 2*d[13] + 6*d[14] - 18*d[15] + 40*d[16] - 
       14*d[17] + 18*d[18] + 12*d[19] - 10*d[20] + 10*d[21] + 12*d[22] - 
       2*d[23] - 5*d[24] + 2*d[26] - 5*d[27] - 4*d[31] - 5*d[32] + 4*d[34] - 
       8*d[36])*HPL[{0, 1, 1}, 1 - w]*\[Zeta][3] + 
     (4*d[3] - 4*d[4] + 2*d[5] + 18*d[7] + 30*d[8] - 4*d[9] - 2*d[10] - 
       2*d[11] - 9*d[16] - 4*d[17] + 56*d[18] - 2*d[20] + 2*d[21] - 22*d[24])*
      HPL[{1}, 1 - u]*\[Zeta][2]*\[Zeta][3] + (-4*d[10] + 2*d[21] + 4*d[24])*
      HPL[{1}, 1 - w]*\[Zeta][2]*\[Zeta][3] + 
     (10*d[3] - 2*d[4] + d[5] - 45*d[7] - 51*d[8] + 46*d[9] + 47*d[10] + 
       47*d[11] + (15*d[16])/2 - 60*d[17] - 40*d[18] + d[21] + 37*d[24])*
      HPL[{1}, 1 - u]*\[Zeta][5] + (46*d[10] + d[21] + 2*d[24])*
      HPL[{1}, 1 - w]*\[Zeta][5]
 

DuvwCoproductEntries[1 - w] = B1[u, v, w]*d[3] + 3*B11[w, u, v]*d[3] + 
     B1[u, w, v]*d[4] - B11[v, w, u]*d[4] + B1[w, v, u]*d[7] + 
     B2[u, v, w]*d[10] + B6[v, u, w]*(-d[11] + d[17]/2 - d[18]/2) + 
     B10[w, u, v]*(4*d[4] + d[10] - 4*d[11] - 4*d[21]) + 
     B8[u, v, w]*(d[10] + (3*d[11])/2 + d[17]/2 - (3*d[18])/2 - d[22]) + 
     B8[v, w, u]*(-d[11] + d[15]/2 - d[17]/2 + (3*d[18])/2 - d[19] - d[21] - 
       d[22]) + B7[u, v, w]*(d[3] - 2*d[4] + 3*d[11] + d[21] - d[22]) + 
     B7[w, u, v]*(d[5] + d[8] - d[16]/2 - (3*d[24])/2) + 
     B5[v, u, w]*(-d[10] - d[11] + d[16]/2 + d[24]/2) + 
     B10[u, v, w]*(2*d[9] + d[11] + d[16] + d[24]) + 
     B11[u, v, w]*(-d[5] - d[8] - 2*d[10] + d[16] - d[19] - d[22] + 
       2*d[24]) + B6[w, u, v]*(-d[6] - d[7] - d[8]/2 - d[16] - d[17] + 
       d[18] + d[27]/2) + B5[w, u, v]*(-d[16] + d[27]) + 
     B5[u, w, v]*(-d[3] + d[4] - d[5] - d[7] - 2*d[8] - d[10] - 2*d[11] - 
       d[21] + 3*d[24] + d[27]) + B7[v, w, u]*(-d[5] - d[7] - 2*d[8] - 
       d[11] - d[19] - d[22] + 3*d[24] + d[27]) + B6[u, v, w]*d[31] + 
     B6[w, v, u]*(d[6] + (3*d[11])/2 + d[17] - d[18] + d[32]/2) + 
     B5[w, v, u]*(-2*d[7] - d[8] + d[9] + 3*d[11] + d[32]) + 
     B10[v, w, u]*(2*d[11] - 2*d[24] + d[32]) + B5[u, v, w]*d[34] + 
     (d[6]/12 + d[7]/12 + d[8]/12 - d[9]/12 - d[10]/3 - d[11]/12 + d[14]/4 + 
       d[15]/12 - d[17]/8 + (3*d[18])/8 - d[19]/12 - d[20]/4 - d[21]/12 - 
       d[22]/12 - d[23]/12 - d[24]/12)*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2 + 
     (d[6]/12 + d[7]/12 + d[8]/12 - d[9]/12 + (5*d[10])/12 - (5*d[11])/24 - 
       d[12]/8 - d[14]/2 + d[15]/12 + (3*d[17])/8 - d[18]/8 - d[19]/12 + 
       (3*d[20])/4 - d[21]/12 - d[22]/12 + d[23]/24 - d[24]/12)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3 + 
     (-d[6]/6 - d[7]/6 - d[8]/6 + d[9]/6 - d[10]/12 + (7*d[11])/24 + 
       d[12]/8 + d[14]/4 - d[15]/6 - d[17]/4 - d[18]/4 + d[19]/6 - d[20]/2 + 
       d[21]/6 + d[22]/6 + d[23]/24 + d[24]/6)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^4 + (-d[3]/12 - d[4]/12 - d[7]/12 + d[10]/12)*
      HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     ((-19*d[3])/36 + (11*d[4])/36 + (25*d[5])/72 - (35*d[6])/72 - 
       (5*d[7])/12 - (2*d[8])/9 + (55*d[9])/72 - (35*d[10])/36 + d[11]/8 - 
       (3*d[12])/8 - d[13]/3 + (5*d[14])/6 - (23*d[15])/72 + (17*d[16])/18 - 
       (11*d[17])/72 - (19*d[18])/72 + (7*d[19])/24 - (103*d[20])/192 - 
       (17*d[21])/24 + (19*d[22])/24 + (11*d[23])/32 - d[24]/576 + d[26]/24 - 
       d[27]/6 + (5*d[31])/36 + (7*d[32])/72 - d[33]/6 + d[34]/36 + d[36]/4)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w] + 
     ((-17*d[3])/36 + d[4]/3 - (5*d[5])/12 + (35*d[6])/72 + (127*d[7])/288 + 
       (427*d[8])/288 - (85*d[9])/96 + (7*d[10])/6 - (61*d[11])/144 + 
       (5*d[12])/4 + (7*d[13])/12 - (7*d[14])/12 + (67*d[15])/72 - 
       (49*d[16])/24 + (49*d[17])/72 - (19*d[18])/72 - (5*d[19])/9 - 
       (149*d[20])/192 - (19*d[21])/24 - (47*d[22])/36 - (31*d[23])/32 - 
       (1009*d[24])/576 + d[26]/12 - (5*d[27])/72 + d[31]/6 + (5*d[32])/36 + 
       (5*d[33])/12 - (7*d[34])/12 + d[36]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w] + (-d[4]/12 + d[10]/12)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w] + 
     (d[3]/16 - d[6]/2 + d[7]/4 + d[8]/4 - d[9]/4 + d[10] - (3*d[11])/4 - 
       d[12]/4 - d[14]/4 + 3*d[15] - (3*d[17])/2 + (21*d[18])/8 - 3*d[19] - 
       (57*d[20])/32 - (7*d[21])/2 - (11*d[22])/4 + (55*d[23])/16 + 
       (219*d[24])/32)*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^2 + 
     ((2*d[3])/9 + d[4]/6 + (11*d[5])/36 + (3*d[6])/4 - d[7]/2 - 
       (11*d[8])/18 + (41*d[9])/36 - (7*d[10])/3 + (3*d[11])/4 + 
       (2*d[12])/3 - (5*d[13])/18 + (11*d[14])/12 - (25*d[15])/12 + 
       (53*d[16])/36 - (35*d[17])/8 + (203*d[18])/72 + (11*d[19])/6 - 
       (185*d[20])/36 - (5*d[21])/12 + (26*d[22])/9 - (43*d[23])/12 - 
       (295*d[24])/48 + (2*d[26])/9 - (5*d[27])/18 - d[31]/9 - d[32]/36 - 
       (2*d[33])/9 + d[34]/3)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2 + ((-2*d[3])/3 - d[4]/3 + (3*d[5])/2 + d[6]/8 - 
       (3*d[7])/4 - (5*d[8])/4 + (3*d[9])/4 - (17*d[10])/4 + (7*d[11])/6 + 
       d[12]/6 + d[13]/12 - (7*d[14])/12 - (7*d[15])/12 + (8*d[16])/3 + 
       (5*d[17])/12 - 4*d[18] + (5*d[19])/12 + (37*d[20])/12 + (7*d[21])/12 + 
       (19*d[22])/12 + (187*d[23])/48 - (11*d[24])/12 - d[26]/6 + d[27]/6 + 
       d[31]/6 + d[32]/12 - d[33] + (5*d[34])/6 + d[36]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2 + 
     ((-2*d[3])/9 + d[4]/18 - (29*d[5])/36 + (11*d[6])/18 - (13*d[7])/9 + 
       d[8]/18 + d[9]/9 + (13*d[10])/9 - (29*d[11])/24 - (11*d[12])/8 - 
       d[13]/3 - (11*d[14])/12 + (3*d[15])/4 - (95*d[16])/36 + 
       (11*d[17])/18 - (47*d[18])/36 - (5*d[19])/18 - (247*d[20])/36 + 
       (5*d[21])/36 - (10*d[22])/9 - d[23]/72 - (371*d[24])/144 - d[26]/9 + 
       (7*d[27])/36 + d[32]/18 + (4*d[33])/9 - (4*d[34])/9)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2 + 
     (-d[6]/6 + (59*d[7])/96 + (41*d[8])/96 - (41*d[9])/96 + (11*d[10])/12 - 
       (61*d[11])/48 - (21*d[12])/16 + d[13]/8 - (11*d[14])/8 - 
       (19*d[15])/6 + (3*d[17])/4 - d[18]/4 + (19*d[19])/6 - (41*d[20])/32 + 
       (19*d[21])/6 + (19*d[22])/6 - (223*d[23])/48 - (19*d[24])/3)*
      HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2 + 
     (-d[2]/6 + d[4]/6 - (17*d[5])/24 + d[6]/4 + (5*d[7])/48 + (33*d[8])/16 - 
       (59*d[9])/48 + (29*d[10])/24 + d[11]/24 + (7*d[12])/8 - d[13]/12 + 
       d[14]/2 + d[15]/3 - (71*d[16])/24 + d[17] + d[18]/4 + d[19]/8 - 
       (59*d[20])/192 - (3*d[21])/8 - (11*d[22])/24 - (23*d[23])/96 - 
       (491*d[24])/192 + d[26]/8 + d[27]/8 + (7*d[33])/12 - (7*d[34])/12)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^3 + 
     ((-7*d[3])/9 + d[4]/4 + (49*d[5])/36 + (13*d[6])/8 - (211*d[7])/72 - 
       (101*d[8])/24 + (293*d[9])/72 - (43*d[10])/72 + (5*d[11])/18 - 
       (4*d[12])/3 - (2*d[13])/3 + d[14]/2 - (35*d[15])/72 + (9*d[16])/4 + 
       (125*d[17])/72 - (527*d[18])/72 + (11*d[19])/72 + (673*d[20])/48 + 
       (47*d[21])/36 + (83*d[22])/72 + (23*d[23])/4 - (155*d[24])/48 - 
       (13*d[26])/24 + d[27]/9 + (2*d[31])/9 + (5*d[32])/36 - d[33] + 
       (7*d[34])/9 + d[36]/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3 + (-d[2]/6 - (5*d[3])/9 + d[4]/6 + (157*d[5])/72 + 
       (31*d[6])/12 - (23*d[7])/36 - (397*d[8])/72 + (389*d[9])/72 - 
       (7*d[10])/9 - (29*d[11])/36 - (37*d[12])/24 + d[13]/4 - d[14]/2 + 
       (185*d[15])/36 + (41*d[16])/9 + (179*d[17])/72 - (347*d[18])/72 - 
       (52*d[19])/9 - (19*d[20])/48 - (187*d[21])/36 - (40*d[22])/9 + 
       (37*d[23])/24 + (379*d[24])/36 - d[26]/4 - (7*d[27])/72 + d[31]/18 + 
       d[32]/18 - (17*d[33])/12 + (49*d[34])/36 + d[36]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3 + 
     (d[2]/12 - d[3]/12 + d[4]/6 + (5*d[5])/12 - (5*d[6])/12 + (25*d[7])/96 + 
       (13*d[8])/96 - d[9]/96 - (5*d[10])/24 + (89*d[11])/48 + (4*d[12])/3 - 
       d[13]/4 - (13*d[14])/24 + (19*d[15])/24 + (5*d[16])/6 - 
       (13*d[17])/24 + (19*d[18])/24 - (11*d[19])/12 - (349*d[20])/192 - 
       (9*d[21])/8 - (13*d[22])/12 + (47*d[23])/96 + (151*d[24])/64 + 
       d[26]/8 - d[27]/8 + d[31]/6 + d[32]/12 + d[33]/6 - d[34]/3 - d[36]/4)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3 + 
     (d[2]/12 - d[3]/2 + d[4]/2 + (9*d[5])/16 + d[6]/8 + (11*d[7])/32 + 
       d[8]/32 + (3*d[9])/32 - d[10]/2 + d[12]/4 + d[13]/8 + d[14]/8 + 
       d[15]/4 + d[16]/4 + d[17]/2 - d[18]/2 - d[19]/8 + (11*d[20])/16 - 
       (3*d[21])/8 + d[23]/4 + (7*d[24])/32 - d[27]/16 + d[31]/4 + d[32]/8 - 
       d[33]/8 - d[34]/8 + (3*d[36])/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4 + 
     ((2*d[2])/9 - d[3]/12 - d[7]/12 + d[10]/12 + d[12]/3 + d[13]/6 - 
       (13*d[14])/12 - d[15]/2 + d[19]/2 + (5*d[20])/16 + d[21]/2 + d[22]/2 - 
       (25*d[23])/24 + (11*d[24])/48)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^4 + ((-5*d[3])/12 + d[4]/2 - (5*d[5])/24 - 
       (7*d[6])/48 - (53*d[7])/96 + (107*d[8])/96 - (9*d[9])/32 + 
       (35*d[10])/48 - (17*d[11])/24 + d[12]/6 + d[13]/12 - d[14]/24 + 
       (5*d[15])/48 - (25*d[16])/12 + (7*d[17])/24 - (13*d[18])/24 + 
       (19*d[19])/48 - (181*d[20])/96 - (11*d[21])/24 + (5*d[22])/16 - 
       (19*d[23])/48 - (15*d[24])/8 + (5*d[26])/48 + d[27]/12 + d[31]/12 + 
       d[32]/24 + d[33]/12 - d[34]/6 + d[36])*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^4 + d[14]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5 + 
     ((-2*d[6])/3 - (2*d[7])/3 - (2*d[8])/3 + (2*d[9])/3 + (2*d[10])/3 + 
       (7*d[11])/6 + d[12] - d[15]/6 - d[17]/2 - d[18] + d[19]/6 - d[20] + 
       d[21]/6 + d[22]/6 - d[23]/3 + (2*d[24])/3)*HPL[{1}, 1 - u]^4*
      HPL[{0, 1}, 1 - u] + (d[3]/6 + (2*d[6])/3 + (2*d[7])/3 + (2*d[8])/3 - 
       (2*d[9])/3 - (3*d[10])/2 - (7*d[11])/6 - d[12] + d[15]/6 - d[17]/2 + 
       2*d[18] - d[19]/6 + d[20] - d[21]/6 - d[22]/6 + d[23]/3 - (2*d[24])/3)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u] + 
     (d[3]/4 + d[4] + (11*d[6])/18 + (29*d[7])/18 + (11*d[8])/18 - 
       (11*d[9])/18 - (7*d[10])/36 - (11*d[11])/18 - d[14]/6 + 
       (11*d[15])/18 + (17*d[17])/12 + (5*d[18])/12 - (11*d[19])/18 - 
       (35*d[20])/24 - (11*d[21])/18 - (11*d[22])/18 - (49*d[23])/36 - 
       (31*d[24])/36)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u] + (-d[4]/3 - (5*d[6])/18 - (11*d[7])/18 - 
       (5*d[8])/18 + (5*d[9])/18 + (11*d[10])/18 + d[11]/36 - d[12]/4 - 
       d[14]/3 - (5*d[15])/18 + d[17]/12 - (11*d[18])/12 + (5*d[19])/18 + 
       (49*d[20])/12 + (5*d[21])/18 + (5*d[22])/18 + (73*d[23])/36 + 
       (7*d[24])/9)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u] + 
     (-d[6]/3 - d[7]/3 - d[8]/3 + d[9]/3 - d[10]/6 + (7*d[11])/12 + d[12]/4 + 
       d[14]/2 - d[15]/3 - d[17]/2 - d[18]/2 + d[19]/3 - (21*d[20])/8 + 
       d[21]/3 + d[22]/3 - (2*d[23])/3 + d[24]/12)*HPL[{1}, 1 - v]^4*
      HPL[{0, 1}, 1 - u] + (d[3]/3 - (5*d[4])/6 - (7*d[5])/12 + 
       (37*d[6])/24 - (23*d[7])/24 - (73*d[8])/24 + (3*d[9])/8 - d[10]/3 - 
       (5*d[11])/6 - (29*d[12])/12 - d[13]/6 - (2*d[14])/3 - d[15]/2 - 
       d[16]/12 + d[17]/12 - (5*d[18])/3 + d[19]/6 + (229*d[20])/48 + 
       2*d[21] + d[22]/2 + (17*d[23])/24 - (9*d[24])/16 - d[26]/3 + 
       (7*d[27])/12 - d[31]/6 - d[32]/12 - d[33]/6 + d[34]/3 - d[36]/2)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (-d[2]/2 - (5*d[3])/6 + d[4]/3 + (25*d[5])/12 - (31*d[6])/12 - 
       (23*d[7])/6 - (13*d[8])/6 + (49*d[9])/12 + (17*d[10])/6 + 
       (61*d[11])/12 + (7*d[12])/6 + (2*d[13])/3 - d[14]/2 - (19*d[15])/4 - 
       (10*d[16])/3 - (11*d[17])/12 - (139*d[18])/12 + (79*d[19])/12 - 
       (22*d[20])/3 + (41*d[21])/6 + (29*d[22])/4 - (23*d[23])/6 - 
       (119*d[24])/12 - d[26]/4 + (5*d[27])/6 + (2*d[31])/3 + d[32]/3 - 
       (2*d[33])/3 + 2*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((5*d[2])/6 + (7*d[3])/9 + (17*d[4])/6 - (47*d[5])/18 - (31*d[6])/36 + 
       (37*d[7])/18 + (115*d[8])/36 - 4*d[9] - (11*d[10])/18 - 
       (337*d[11])/36 - (31*d[12])/36 + d[13]/9 + (10*d[14])/9 + 
       (191*d[15])/36 + (29*d[16])/36 - (19*d[17])/36 + (421*d[18])/36 - 
       (227*d[19])/36 + (227*d[20])/288 - (367*d[21])/36 - (31*d[22])/4 + 
       (431*d[23])/144 + (953*d[24])/96 + (23*d[26])/36 - (59*d[27])/36 - 
       (19*d[31])/18 - (37*d[32])/36 + (23*d[33])/18 - (2*d[34])/9 - d[36]/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((-2*d[3])/3 + d[4] - (5*d[5])/6 + (3*d[6])/4 + (49*d[7])/48 + 
       (55*d[8])/16 - (113*d[9])/48 + (29*d[10])/18 - (9*d[11])/8 + 
       (7*d[12])/3 + (5*d[13])/6 + (7*d[15])/4 - (55*d[16])/12 + 
       (17*d[17])/12 + d[18]/12 - d[19] - (149*d[20])/96 - (23*d[21])/12 - 
       (11*d[22])/6 - (31*d[23])/16 - (89*d[24])/32 + d[26]/6 + d[27]/12 + 
       d[31]/3 + d[32]/6 + (5*d[33])/6 - (7*d[34])/6 + d[36])*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((-5*d[3])/4 + (11*d[4])/8 + (9*d[5])/4 + (25*d[6])/8 - (3*d[7])/8 + 
       2*d[8] - d[9]/8 - (7*d[10])/6 - (47*d[11])/24 + (47*d[12])/24 + 
       d[13] + (5*d[14])/12 + (397*d[15])/24 - (7*d[16])/2 + (11*d[17])/12 + 
       (13*d[18])/8 - (361*d[19])/24 - (147*d[20])/16 - (209*d[21])/12 - 
       (331*d[22])/24 + (101*d[23])/12 + (339*d[24])/16 - d[26]/8 + 
       (3*d[27])/8 + d[31] + d[32]/2 - d[33] + 3*d[36])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     ((17*d[3])/6 - (35*d[4])/3 - (17*d[5])/6 - d[6] - (83*d[7])/12 - 
       (293*d[8])/12 + (115*d[9])/12 - (47*d[10])/6 + (13*d[11])/2 - 
       (29*d[12])/6 - (5*d[13])/3 - 2*d[14] - d[15] + 21*d[16] - 
       (79*d[17])/12 - (9*d[18])/4 - 5*d[19] + (53*d[20])/24 + (43*d[21])/6 - 
       (4*d[22])/3 + (29*d[23])/6 + (407*d[24])/12 - (2*d[26])/3 + 
       (5*d[27])/3 + d[28]/6 + (2*d[30])/3 - (11*d[31])/3 - d[32] - 
       (10*d[33])/3 + 7*d[34] - 7*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (d[2]/3 + 2*d[3] - (8*d[4])/3 + (7*d[5])/12 - (11*d[6])/12 - 
       (5*d[7])/24 - (79*d[8])/24 + (5*d[9])/8 - (37*d[10])/6 - (5*d[11])/2 - 
       (8*d[12])/3 + 2*d[13] + d[15]/4 + (27*d[16])/4 - d[17]/12 + 
       (13*d[18])/12 - (4*d[19])/3 + (95*d[20])/12 - d[21]/3 - (4*d[22])/3 + 
       (11*d[23])/4 + (233*d[24])/24 + (5*d[26])/12 - d[28]/12 - d[30]/3 - 
       d[31] - d[32]/2 + d[34] - 3*d[36])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + ((-2*d[2])/3 + d[3]/4 + (5*d[4])/6 - (11*d[5])/8 - 
       (37*d[6])/12 + (73*d[7])/24 + (7*d[8])/4 - (5*d[9])/3 + (3*d[10])/8 + 
       (13*d[11])/6 - d[12]/6 - (3*d[13])/4 + (11*d[14])/12 - (55*d[15])/24 + 
       (37*d[16])/24 - (5*d[17])/8 + (73*d[18])/24 + (19*d[19])/12 + 
       (341*d[20])/96 + (7*d[21])/6 + (5*d[22])/6 + (71*d[23])/16 + 
       (689*d[24])/96 - (5*d[27])/8 - d[31]/3 - d[32]/6 + (5*d[33])/4 - 
       (11*d[34])/12 - d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - u] + (d[2]/9 + (2*d[3])/3 - d[4] - (3*d[5])/2 - 
       d[6]/6 - (9*d[7])/4 - (17*d[8])/12 + (17*d[9])/12 + (19*d[10])/4 + 
       (7*d[11])/6 - 2*d[12] - (7*d[13])/6 - (4*d[14])/3 - (29*d[15])/12 - 
       (25*d[16])/6 - 2*d[17] - (5*d[18])/3 + (37*d[19])/12 + d[20]/3 + 
       (9*d[21])/2 + (9*d[22])/4 - (7*d[23])/12 - (35*d[24])/6 - d[26]/3 + 
       (2*d[27])/3 - d[31]/3 - d[32]/6 + (2*d[33])/3 - d[34]/3 - d[36])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     (d[2]/6 - d[3] + d[4] + (3*d[5])/4 + d[6]/4 + (9*d[7])/16 + 
       (9*d[8])/16 - (5*d[9])/16 - d[11]/8 + d[12]/2 + d[13]/4 + d[14]/2 + 
       d[15]/2 - d[16] + d[17] - d[18] + (9*d[20])/8 - d[21]/2 + 
       (3*d[23])/4 - d[24]/16 + d[31]/2 + d[32]/4 - d[34]/2 + (3*d[36])/2)*
      HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u] + 
     (-d[3]/2 + d[4]/4 + (2*d[6])/3 + (2*d[7])/3 + (2*d[8])/3 - (2*d[9])/3 - 
       (23*d[10])/12 - (43*d[11])/24 - (5*d[12])/4 - d[15]/3 + (21*d[17])/8 - 
       (5*d[18])/8 + (7*d[19])/12 + (13*d[20])/4 + (13*d[21])/12 + d[22]/12 - 
       (7*d[23])/6 - (25*d[24])/6)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]^2 + 
     (-d[3]/2 + d[4]/2 + (3*d[5])/4 - (23*d[6])/12 - (5*d[7])/3 - 
       (7*d[8])/6 + (23*d[9])/12 + (65*d[10])/12 + (13*d[11])/6 - d[12]/2 - 
       (3*d[14])/2 + (13*d[15])/12 - d[16]/2 - (7*d[17])/4 - d[18]/4 - 
       (13*d[19])/12 - (3*d[20])/4 - (11*d[21])/6 - (7*d[22])/12 + 
       (5*d[23])/3 + (121*d[24])/24 + d[32]/2 - d[34]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     (d[6] + d[7] + d[8] - d[9] - (3*d[10])/2 + (7*d[11])/4 + (9*d[12])/4 + 
       (3*d[14])/2 - d[15]/8 - (9*d[17])/8 + (13*d[18])/8 + d[19]/4 - 
       (5*d[20])/2 + d[21]/4 + d[22]/4 - d[23] - (23*d[24])/8)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2 + 
     ((-5*d[3])/6 + 2*d[4] + (11*d[5])/24 - (17*d[6])/24 + (49*d[7])/24 + 
       (11*d[8])/2 - (7*d[9])/3 + (5*d[10])/8 + d[11]/8 + (59*d[12])/24 + 
       (5*d[13])/3 + (7*d[14])/6 + (103*d[15])/24 + d[16]/12 + 
       (23*d[17])/24 + (55*d[18])/24 - (85*d[19])/24 - (79*d[20])/12 - 
       (15*d[21])/2 - (77*d[22])/24 + 2*d[23] + (121*d[24])/24 + 
       (11*d[26])/24 - (29*d[27])/24 + d[28]/4 + d[29]/8 + d[30] + 
       (2*d[31])/3 + d[32]/12 + d[33]/6 - (5*d[34])/6 + 2*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     (d[3]/2 - d[4]/2 - (19*d[5])/6 - (5*d[6])/12 - (109*d[7])/24 - 
       (11*d[8])/8 - (31*d[9])/24 + (11*d[10])/6 - (17*d[11])/3 + 
       (7*d[12])/12 - 2*d[14] - (3*d[15])/4 - (19*d[16])/3 + (4*d[17])/3 - 
       (23*d[18])/6 + (13*d[19])/6 + (43*d[20])/48 + d[21]/3 + (13*d[22])/6 - 
       (65*d[23])/24 - (475*d[24])/48 + d[26]/6 + d[27]/2 - d[28]/3 - 
       (4*d[30])/3 - d[31] - d[32]/2 + d[34] + (3*d[36])/2)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     ((5*d[2])/4 + (10*d[3])/3 - 4*d[4] - (17*d[5])/6 + (17*d[6])/12 + 
       (13*d[7])/24 - (157*d[8])/24 + (5*d[9])/8 - (59*d[10])/24 + 
       (35*d[11])/12 - d[12]/12 - (2*d[13])/3 + (7*d[14])/12 + (11*d[15])/3 + 
       (107*d[16])/12 + (19*d[17])/24 - (17*d[18])/12 - (151*d[19])/24 + 
       (49*d[20])/48 - (7*d[21])/12 - (55*d[22])/8 + (85*d[23])/24 + 
       (309*d[24])/16 - (7*d[26])/12 + d[27]/12 + d[29]/8 - (7*d[31])/6 - 
       (7*d[32])/12 + (7*d[33])/12 + (7*d[34])/12 - (13*d[36])/2)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2 + 
     (d[5]/12 - d[6]/6 - d[7]/12 + d[8]/12 + (2*d[9])/3 - d[10]/12 + 
       (5*d[11])/4 - (2*d[15])/3 - d[16]/6 + d[17]/6 - (7*d[18])/6 + 
       (3*d[19])/4 + (2*d[21])/3 + (3*d[22])/4 - (5*d[24])/12 - d[29]/12)*
      HPL[{0, 1}, 1 - u]^3 + (d[6]/6 + d[7]/6 + d[8]/6 - d[9]/6 - 
       (2*d[10])/3 - d[11]/6 + d[14]/2 + d[15]/6 - d[17]/4 + (3*d[18])/4 - 
       d[19]/6 - d[20]/2 - d[21]/6 - d[22]/6 - d[23]/6 - d[24]/6)*
      HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - v] + 
     (-d[3]/2 + (7*d[6])/18 + (7*d[7])/18 + (7*d[8])/18 - (7*d[9])/18 - 
       d[10]/18 - (23*d[11])/36 - d[12]/4 - d[14]/3 + (7*d[15])/18 + 
       d[17]/12 + (13*d[18])/12 - (7*d[19])/18 + (5*d[20])/6 - (7*d[21])/18 - 
       (7*d[22])/18 - (5*d[23])/36 - (7*d[24])/18)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     ((5*d[3])/4 - (5*d[6])/9 - (5*d[7])/9 - (5*d[8])/9 + (5*d[9])/9 + 
       (13*d[10])/18 + (65*d[11])/36 + (5*d[12])/4 - d[14]/6 - (5*d[15])/9 + 
       d[17]/6 - (11*d[18])/6 + (5*d[19])/9 - (95*d[20])/24 + (5*d[21])/9 + 
       (5*d[22])/9 - (13*d[23])/9 + (11*d[24])/36)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v] + 
     ((-2*d[6])/3 - (2*d[7])/3 - (2*d[8])/3 + (2*d[9])/3 + d[10]/6 - 
       d[11]/3 - d[12] - (2*d[15])/3 - d[17]/2 - d[18] + (2*d[19])/3 + 
       (17*d[20])/4 + (2*d[21])/3 + (2*d[22])/3 + (8*d[23])/3 + (7*d[24])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v] + 
     ((2*d[6])/3 + (2*d[7])/3 + (2*d[8])/3 - (2*d[9])/3 - d[10]/6 - 
       (2*d[11])/3 + (2*d[15])/3 + d[17]/2 + d[18] - (2*d[19])/3 - 
       (5*d[20])/8 - (2*d[21])/3 - (2*d[22])/3 - (11*d[23])/12 - 
       (11*d[24])/12)*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v] + 
     (-d[3]/3 + (2*d[4])/9 + (13*d[5])/12 - (4*d[6])/3 - d[8]/6 + 
       (13*d[9])/12 - d[10]/3 + (11*d[11])/12 - (7*d[12])/36 - d[13]/3 + 
       (2*d[14])/3 - (5*d[15])/36 + (11*d[16])/6 + (23*d[17])/36 - 
       (25*d[18])/12 + (7*d[19])/36 + (25*d[20])/96 - (23*d[21])/36 + 
       (7*d[22])/12 + (27*d[23])/16 + (43*d[24])/32 + d[26]/12 - d[27]/3 + 
       d[31]/6 + d[32]/12 - d[33]/3 + d[34]/6 + d[36]/2)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     ((-5*d[2])/6 + d[3]/18 + (7*d[4])/3 - (20*d[5])/9 - (25*d[6])/18 + 
       (319*d[7])/144 + (599*d[8])/144 - (269*d[9])/48 + (139*d[10])/36 - 
       (295*d[11])/72 + (11*d[12])/18 - (4*d[13])/9 + d[14]/18 - 
       (113*d[15])/36 - (79*d[16])/18 - (209*d[17])/36 + (143*d[18])/36 + 
       (143*d[19])/36 - (2279*d[20])/288 - (11*d[21])/36 + (9*d[22])/4 - 
       (395*d[23])/144 - (259*d[24])/96 + (7*d[26])/36 - (4*d[27])/9 - 
       d[31]/9 - (8*d[32])/9 + (14*d[33])/9 - (13*d[34])/9 - d[36]/3)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (d[2]/2 - (5*d[3])/6 + (3*d[4])/2 + (25*d[5])/12 + (8*d[6])/3 + 
       (11*d[7])/6 - (5*d[8])/6 + (5*d[9])/4 - (41*d[10])/12 - 
       (47*d[11])/12 - (5*d[12])/2 + (2*d[13])/3 + (5*d[14])/3 + 
       (25*d[15])/12 + (5*d[16])/4 + (9*d[17])/2 - (7*d[18])/6 - 
       (7*d[19])/4 + (139*d[20])/12 - (11*d[21])/6 - (7*d[22])/12 + 
       (7*d[23])/2 + (7*d[24])/8 + (2*d[27])/3 + (2*d[31])/3 + (2*d[32])/3 - 
       (7*d[33])/6 + d[34]/2 + 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (d[3]/12 - (3*d[4])/2 + (5*d[5])/12 - d[6]/12 - (7*d[7])/3 - 
       (31*d[8])/6 + (15*d[9])/4 - (4*d[10])/3 + (7*d[11])/6 - (5*d[12])/6 - 
       (2*d[13])/3 - (2*d[14])/3 - (13*d[15])/12 + (41*d[16])/12 - 
       (19*d[17])/12 - (23*d[18])/12 + (7*d[19])/12 - (137*d[20])/48 + 
       (7*d[21])/6 + (7*d[22])/4 - (37*d[23])/12 + (57*d[24])/16 - d[26]/12 + 
       d[27]/3 - (2*d[31])/3 - d[32]/3 - (7*d[33])/6 + (11*d[34])/6 - 
       d[36]/2)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (-d[2]/6 + 2*d[3] - (7*d[4])/3 - (19*d[5])/12 - d[6]/2 + (5*d[7])/12 + 
       (7*d[8])/12 - (5*d[9])/2 + d[10] + d[11]/4 + (5*d[12])/2 - 
       (7*d[13])/6 - d[14] - (14*d[15])/3 - (2*d[16])/3 - 5*d[17] + 
       (23*d[18])/4 + (47*d[19])/12 - (31*d[20])/48 + (47*d[21])/6 + 
       (37*d[22])/12 + d[23] + (55*d[24])/16 + d[25]/12 + d[26]/12 + 
       (2*d[27])/3 - d[31] - d[32]/12 + (5*d[33])/6 + d[34]/6 - 3*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     (3*d[3] - (83*d[4])/6 - (29*d[5])/6 + (38*d[6])/9 - (79*d[7])/36 - 
       (433*d[8])/36 + d[9]/36 - (80*d[10])/9 + (103*d[11])/36 - 
       (71*d[12])/12 - (2*d[13])/3 - (11*d[14])/6 - (37*d[15])/9 + 
       (47*d[16])/6 - (5*d[17])/6 - (35*d[18])/6 + (7*d[19])/9 + 
       (241*d[20])/12 + (148*d[21])/9 + (29*d[22])/18 + (79*d[23])/36 - 
       (19*d[24])/72 - (5*d[26])/3 + (5*d[27])/2 + d[28]/6 - (2*d[30])/3 - 
       (7*d[31])/3 - 2*d[32] - (2*d[33])/3 + 3*d[34] - 7*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((-7*d[3])/4 + (5*d[4])/2 + (9*d[5])/4 - (47*d[6])/36 - (41*d[7])/9 - 
       (175*d[8])/72 + (32*d[9])/9 + (83*d[10])/36 - (13*d[11])/9 - 
       (7*d[12])/8 - (19*d[14])/12 - (697*d[15])/72 - (7*d[16])/4 + 
       (7*d[17])/8 - (83*d[18])/24 + (787*d[19])/72 + (7*d[20])/24 + 
       (163*d[21])/18 + (859*d[22])/72 - (253*d[23])/36 - (709*d[24])/36 + 
       (5*d[27])/8 - d[28]/8 + d[30]/2 + d[31] + d[32]/2 - (5*d[33])/4 + 
       d[34]/4 + 3*d[36])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v] + (d[2]/9 + (2*d[3])/3 - d[4] + 2*d[6] + 
       (5*d[7])/12 - (10*d[8])/3 + (19*d[9])/12 - (13*d[10])/6 - 
       (5*d[11])/3 - (7*d[12])/2 - d[13]/3 + (13*d[15])/4 + (49*d[16])/12 + 
       (13*d[17])/6 - (2*d[18])/3 - (49*d[19])/12 + (37*d[20])/4 - 
       (13*d[21])/3 - (43*d[22])/12 + 2*d[23] + (45*d[24])/8 + d[25]/12 + 
       d[26]/3 + d[27]/12 - d[31]/3 - d[32]/6 - d[33]/2 + (5*d[34])/6 - 
       d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     (d[2]/2 + (31*d[3])/18 - (7*d[4])/12 - (65*d[5])/36 - (8*d[6])/9 + 
       (817*d[7])/144 + (803*d[8])/144 - (199*d[9])/48 + (17*d[10])/72 + 
       (31*d[11])/9 - (13*d[12])/18 - (19*d[13])/36 - (7*d[14])/36 - 
       d[15]/72 - (29*d[16])/36 - (53*d[17])/36 + (203*d[18])/36 - 
       (47*d[19])/72 - (1151*d[20])/288 - (2*d[21])/9 - (59*d[22])/24 + 
       (157*d[23])/144 + (373*d[24])/96 + (13*d[26])/36 - (77*d[27])/72 - 
       (4*d[31])/9 - (2*d[32])/9 + (14*d[33])/9 - (10*d[34])/9 - (5*d[36])/6)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     (-d[1]/6 - (5*d[3])/6 + d[4] - d[5]/6 - (5*d[6])/12 - (53*d[7])/48 + 
       (107*d[8])/48 - (9*d[9])/16 + (4*d[10])/3 - (9*d[11])/8 + 
       (7*d[12])/12 + (2*d[13])/3 - d[14]/12 + (7*d[15])/12 - (47*d[16])/12 + 
       (7*d[17])/12 - (13*d[18])/12 + (5*d[19])/12 - (169*d[20])/48 - 
       (5*d[21])/3 + d[22]/4 - (37*d[23])/24 - (43*d[24])/8 + d[26]/3 + 
       d[27]/6 + d[31]/6 + d[32]/12 + d[33]/6 - d[34]/3 + 2*d[36])*
      HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v] + 
     (-d[3] + d[4]/2 - (13*d[6])/9 - (13*d[7])/9 - (13*d[8])/9 + 
       (13*d[9])/9 + (5*d[10])/18 + (169*d[11])/36 + (9*d[12])/2 + 
       (11*d[14])/3 - (4*d[15])/9 - (65*d[17])/12 + (25*d[18])/12 - 
       d[19]/18 - (131*d[20])/12 - (19*d[21])/18 + (17*d[22])/18 - 
       (19*d[23])/18 + (169*d[24])/36)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + (d[3] - d[4] - d[5]/2 + (31*d[6])/18 - 
       (7*d[7])/9 - (16*d[8])/9 - (13*d[9])/18 + (65*d[10])/18 - 
       (103*d[11])/18 - (15*d[12])/2 - (19*d[14])/3 - (16*d[15])/9 - d[16] + 
       (29*d[17])/6 - (19*d[18])/6 + (41*d[19])/18 + (46*d[20])/3 + 
       (43*d[21])/9 + (23*d[22])/18 + (113*d[23])/18 + (19*d[24])/36 + 
       2*d[27])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((2*d[6])/9 + (2*d[7])/9 + (2*d[8])/9 - 
       (2*d[9])/9 - (8*d[10])/9 + (7*d[11])/9 + 2*d[12] + (8*d[14])/3 + 
       (17*d[15])/36 + (7*d[17])/12 + (13*d[18])/12 - (13*d[19])/18 - 
       (53*d[20])/12 - (13*d[21])/18 - (13*d[22])/18 - (38*d[23])/9 - 
       (2*d[24])/9)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((14*d[3])/9 + d[4] + (83*d[5])/18 - (7*d[6])/18 + (109*d[7])/36 - 
       (331*d[8])/36 + (55*d[9])/12 - (91*d[10])/18 + (131*d[11])/18 - 
       (101*d[12])/9 - (52*d[13])/9 + (32*d[14])/9 - (35*d[15])/9 + 
       (287*d[16])/18 - (32*d[17])/9 + (2*d[18])/9 + (31*d[19])/18 + 
       (377*d[20])/144 + (89*d[21])/18 + (25*d[22])/6 + (425*d[23])/72 + 
       (775*d[24])/48 - (8*d[26])/9 - (10*d[27])/9 - d[29]/6 - (4*d[31])/9 + 
       (4*d[32])/9 - (31*d[33])/9 + (32*d[34])/9 - (4*d[36])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((-5*d[3])/9 + (13*d[4])/3 - (52*d[5])/9 - (16*d[6])/9 - (119*d[7])/72 - 
       (163*d[8])/72 + (77*d[9])/24 + (73*d[10])/18 - (409*d[11])/36 + 
       (73*d[12])/18 + (31*d[13])/9 - (20*d[14])/9 + (20*d[15])/9 - 
       (64*d[16])/9 + (13*d[17])/18 + (35*d[18])/18 - (2*d[19])/9 - 
       (41*d[20])/144 - (125*d[21])/18 - (2*d[22])/3 - (473*d[23])/72 + 
       (103*d[24])/48 + (5*d[26])/9 + (29*d[27])/18 + d[29]/6 - (2*d[31])/9 - 
       d[32]/9 + (4*d[33])/9 - (2*d[34])/9 + (7*d[36])/3)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (-d[2]/3 + d[3]/3 - (10*d[4])/3 + (11*d[5])/3 + (11*d[6])/6 - 4*d[7] - 
       (34*d[8])/3 + (17*d[9])/2 - (15*d[10])/2 - d[11]/6 - 8*d[12] - 
       (4*d[13])/3 - d[14] - (19*d[15])/6 + (55*d[16])/6 - (7*d[17])/6 - 
       (11*d[18])/3 + 2*d[19] + (23*d[20])/3 + (28*d[21])/3 + (16*d[22])/3 + 
       (11*d[23])/6 + (49*d[24])/12 - (7*d[26])/6 + (11*d[27])/6 - d[28]/6 - 
       (2*d[30])/3 - (2*d[31])/3 - d[32]/3 - (10*d[33])/3 + 4*d[34] + d[36])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (7*d[3] + (9*d[4])/2 + (9*d[5])/4 - d[6]/2 + (9*d[7])/4 + (23*d[8])/4 - 
       (9*d[9])/2 + (5*d[10])/4 - (45*d[11])/4 + d[14]/2 + (5*d[15])/2 + 
       (3*d[16])/4 - d[17] + 4*d[18] - (11*d[19])/4 + d[20]/8 - 6*d[21] - 
       (11*d[22])/4 - (3*d[23])/4 - (67*d[24])/8 - (9*d[27])/2 + d[29]/4 - 
       2*d[31] - (3*d[32])/2 + 3*d[34])*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v] + ((-3*d[3])/4 + d[4]/4 - (4*d[6])/3 - (4*d[7])/3 - 
       (4*d[8])/3 + (4*d[9])/3 - (11*d[10])/12 + (41*d[11])/24 + 
       (7*d[12])/4 + d[14] + (7*d[15])/6 + (9*d[17])/8 - (29*d[18])/8 - 
       (11*d[19])/12 - 2*d[20] - (5*d[21])/12 - (17*d[22])/12 - (2*d[23])/3 + 
       (19*d[24])/12)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^2 + 
     (d[3]/2 - d[4]/2 + (5*d[5])/4 + (7*d[6])/4 + 3*d[7] + 4*d[8] - 
       (9*d[9])/4 + (11*d[10])/4 - (7*d[11])/4 - (5*d[12])/2 - (3*d[14])/2 - 
       d[15] - (5*d[16])/4 + (3*d[17])/4 + (17*d[18])/4 + (3*d[19])/4 + 
       (23*d[20])/4 + d[21] + (5*d[22])/4 - (3*d[23])/2 - (63*d[24])/8)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2 + 
     ((-2*d[6])/3 - (2*d[7])/3 - (2*d[8])/3 + (2*d[9])/3 + (2*d[10])/3 + 
       (29*d[11])/12 + (5*d[12])/4 + d[14]/2 + (5*d[15])/24 - (13*d[17])/8 - 
       (11*d[18])/8 - d[19]/12 - (15*d[20])/4 - d[21]/12 - d[22]/12 + 
       (5*d[23])/3 + (61*d[24])/24)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]^2 + 
     (-d[3]/6 + d[4]/6 + (25*d[6])/12 - (7*d[7])/24 - (37*d[8])/8 + 
       (19*d[9])/24 - (37*d[10])/12 - (7*d[11])/2 - (73*d[12])/12 + 
       (4*d[13])/3 - (7*d[14])/6 - (11*d[15])/12 + (19*d[16])/3 + 
       (3*d[17])/2 - (35*d[18])/6 + d[19]/2 + (205*d[20])/48 + (2*d[21])/3 + 
       (13*d[22])/6 + (25*d[23])/24 - (11*d[24])/48 - d[26]/3 - d[27]/6 + 
       d[28]/6 + d[29]/12 - (2*d[30])/3 + d[31]/6 - d[32]/12 - (7*d[33])/6 + 
       (2*d[34])/3 + d[36]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2 + ((-19*d[3])/12 + 3*d[4] - (43*d[5])/24 - 
       (35*d[6])/24 + (2*d[7])/3 + (51*d[8])/8 - (107*d[9])/24 + 
       (17*d[10])/8 - d[11]/4 + (97*d[12])/12 - (4*d[13])/3 + (2*d[14])/3 + 
       (19*d[15])/6 - (55*d[16])/6 + (23*d[17])/24 + (91*d[18])/24 - 
       (37*d[19])/24 - (167*d[20])/24 - 4*d[21] - (77*d[22])/24 - 
       (11*d[23])/8 - (89*d[24])/24 + (5*d[26])/24 - (11*d[27])/24 - 
       d[28]/4 - d[29]/8 + d[30] + (2*d[31])/3 + d[32]/3 + (5*d[33])/3 - 
       (7*d[34])/3 + 2*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2 + (-d[2]/2 + (11*d[3])/3 - 4*d[4] - (11*d[5])/3 + 
       (7*d[6])/12 - (77*d[7])/48 - (121*d[8])/48 - (5*d[9])/16 + 
       (7*d[10])/12 - (43*d[11])/24 + (17*d[12])/24 - (19*d[13])/12 - 
       (11*d[14])/6 + (37*d[15])/12 + (7*d[16])/3 - (5*d[17])/12 + 
       (35*d[18])/12 - (107*d[19])/24 - (23*d[20])/24 - (13*d[21])/6 - 
       (41*d[22])/8 + (17*d[23])/24 + (195*d[24])/16 + d[26]/12 + 
       (5*d[27])/12 - d[28]/8 + d[30]/2 - (11*d[31])/6 - (11*d[32])/12 + 
       (2*d[33])/3 + (7*d[34])/6 - (11*d[36])/2)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]^2 + (-d[3] + (23*d[4])/2 + d[6]/2 + d[7]/2 + 
       d[8]/4 - 4*d[9] - (5*d[10])/2 - (67*d[11])/4 - d[14] + 4*d[15] - 
       (11*d[16])/4 - 3*d[18] - 2*d[19] - d[20]/4 - 12*d[21] - 2*d[22] + 
       (3*d[23])/2 + 7*d[24] + (3*d[27])/4 - d[29]/4 - 2*d[32])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + 
     (d[4]/6 + d[6]/6 + d[8]/12 + d[9]/6 + d[10]/6 - (7*d[11])/12 + d[14]/2 - 
       (7*d[15])/6 + (11*d[16])/12 + d[18] + (7*d[19])/6 + d[20]/8 + 
       (7*d[21])/6 + (7*d[22])/6 - (3*d[23])/4 - (43*d[24])/24 - d[27]/12 + 
       d[29]/12 + d[31]/3 - d[34]/6)*HPL[{0, 1}, 1 - v]^3 + 
     (d[6]/2 + d[7]/2 + d[8]/2 - d[9]/2 - d[11] - d[12] - d[14]/2 + 
       (3*d[17])/4 + d[18]/4 + (3*d[20])/2 + d[23]/2 - d[24]/2)*
      HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - w] + 
     (d[3]/9 - (5*d[6])/6 - (5*d[7])/6 - (5*d[8])/6 + (5*d[9])/6 + 
       (2*d[10])/9 + (4*d[11])/3 + d[12] + d[14]/2 - d[15]/3 - (7*d[17])/4 - 
       d[18]/4 + d[19]/3 - (3*d[20])/2 + d[21]/3 + d[22]/3 - d[23]/6 + 
       (5*d[24])/6)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-d[3]/2 - d[10]/6 + d[11] + d[12] + d[17] - d[18] - 2*d[20] - d[23])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     ((2*d[6])/3 + (2*d[7])/3 + (2*d[8])/3 - (2*d[9])/3 - (2*d[10])/3 - 
       (17*d[11])/12 - (3*d[12])/4 + d[14]/2 + (2*d[15])/3 + (3*d[18])/2 - 
       (2*d[19])/3 + 2*d[20] - (2*d[21])/3 - (2*d[22])/3 + (7*d[23])/12 - 
       (2*d[24])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w] + 
     (-d[6]/3 - d[7]/3 - d[8]/3 + d[9]/3 + d[10]/3 + d[11]/12 - d[12]/4 - 
       d[14]/2 - d[15]/3 - d[18]/2 + d[19]/3 + d[21]/3 + d[22]/3 + d[23]/12 + 
       d[24]/3)*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w] + 
     ((2*d[4])/3 - d[5]/2 + (4*d[6])/3 + (9*d[7])/8 + (91*d[8])/24 - 
       (43*d[9])/24 + d[10]/6 - d[11] + 2*d[12] + d[13]/4 - (11*d[14])/12 - 
       d[15]/4 - 2*d[16] - (11*d[17])/12 + (9*d[18])/2 + (7*d[19])/12 + 
       (245*d[20])/96 - (4*d[21])/3 + d[22]/3 - (53*d[23])/16 - 
       (827*d[24])/96 + d[26]/4 - d[27]/4 + d[33]/2 - d[34]/2)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((5*d[3])/3 - (19*d[4])/6 - (2*d[5])/3 - (11*d[6])/12 - (25*d[7])/4 - 
       (89*d[8])/12 + (31*d[9])/12 + (25*d[10])/3 + (35*d[11])/6 - 
       (3*d[12])/4 - d[13]/6 - (11*d[15])/2 + d[16] - (4*d[17])/3 - 
       13*d[18] + (29*d[19])/6 - (67*d[20])/8 + (53*d[21])/6 + (16*d[22])/3 - 
       (4*d[23])/3 - (41*d[24])/24 - d[26]/6 + d[27] - (4*d[31])/3 + 
       d[32]/6 - d[33]/3 + (5*d[34])/3 - d[36])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((11*d[3])/3 - (14*d[4])/3 - d[5]/6 + (157*d[6])/36 + (7*d[7])/9 - 
       (43*d[8])/18 + (31*d[9])/18 - (28*d[10])/9 - (7*d[11])/36 + 
       (13*d[12])/12 + d[14] + (175*d[15])/36 + (19*d[16])/6 + 2*d[17] + 
       (23*d[18])/6 - (95*d[19])/18 + (97*d[20])/8 - (4*d[21])/9 - 
       (95*d[22])/18 - (145*d[23])/36 + (277*d[24])/72 - d[26]/6 - d[27]/6 - 
       (4*d[31])/3 - (7*d[32])/6 - d[33]/3 + (5*d[34])/3 - d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((-7*d[3])/12 + d[4]/2 + (5*d[5])/12 - (17*d[6])/18 - (25*d[7])/144 + 
       (107*d[8])/144 + (13*d[9])/144 + (61*d[10])/36 + (209*d[11])/72 + 
       (5*d[12])/6 - (2*d[13])/3 - d[14]/12 + (31*d[15])/18 + (2*d[16])/3 - 
       (19*d[17])/12 + (23*d[18])/12 - (71*d[19])/36 - (781*d[20])/96 - 
       (95*d[21])/36 - (47*d[22])/36 + (289*d[23])/144 + (1127*d[24])/288 - 
       d[26]/12 - (5*d[27])/12 + d[31]/3 + d[32]/6 + d[33]/3 - (2*d[34])/3 - 
       d[36]/2)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((3*d[2])/4 + d[3] - d[4]/12 - (49*d[5])/24 - (5*d[6])/6 + 
       (149*d[7])/48 + (209*d[8])/48 - (175*d[9])/48 - d[10]/6 + 
       (13*d[11])/6 + (11*d[12])/8 + (7*d[13])/6 + d[14]/2 + (7*d[15])/4 - 
       (41*d[16])/24 + (41*d[17])/24 + (7*d[18])/4 - (67*d[19])/24 - 
       (323*d[20])/48 - (11*d[21])/6 - (107*d[22])/24 + (59*d[23])/24 + 
       (89*d[24])/12 + (5*d[26])/24 - d[27]/12 - d[31]/2 - d[32]/4 + 
       (23*d[33])/12 - (17*d[34])/12 - (3*d[36])/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (2*d[3] - (14*d[4])/3 - (3*d[5])/2 + (5*d[6])/2 - (47*d[7])/12 - 
       (151*d[8])/12 + (59*d[9])/12 + d[10]/3 - (4*d[11])/3 - 3*d[12] - 
       d[13]/6 - (5*d[14])/3 - (35*d[15])/6 + 7*d[16] - 3*d[17] - 
       (3*d[18])/2 + (7*d[19])/2 + (37*d[20])/2 + (49*d[21])/6 + 
       (16*d[22])/3 - (47*d[23])/12 - (97*d[24])/12 - (2*d[26])/3 + 
       (5*d[27])/3 + d[28]/6 - (2*d[30])/3 - 2*d[31] - d[32] - (4*d[33])/3 + 
       (10*d[34])/3 - 5*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     ((-3*d[2])/4 + (43*d[3])/36 - d[4]/3 - (10*d[5])/9 - (59*d[6])/72 + 
       (467*d[7])/144 + (547*d[8])/144 - (59*d[9])/16 - (31*d[10])/36 + 
       (211*d[11])/72 + (23*d[12])/9 - (19*d[13])/18 - (25*d[14])/18 - 
       (203*d[15])/72 - (17*d[16])/72 + d[17]/18 + (16*d[18])/9 + 
       (19*d[19])/9 + d[20]/144 + (125*d[21])/36 + (3*d[22])/4 + 
       (35*d[23])/36 + (35*d[24])/8 - (11*d[26])/72 - (5*d[27])/36 - 
       d[28]/8 + d[30]/2 - (7*d[31])/18 - (7*d[32])/36 + (29*d[33])/18 - 
       (11*d[34])/9 - (5*d[36])/3)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w] + ((-3*d[2])/4 - 2*d[3] + 2*d[4] + 3*d[5] + 
       (17*d[6])/24 + d[7]/12 - (49*d[8])/24 + (47*d[9])/12 - (9*d[10])/8 - 
       (7*d[11])/12 + (3*d[12])/4 + d[13]/4 + (3*d[14])/2 + d[15]/3 + 
       (11*d[16])/8 + (17*d[17])/8 - (27*d[18])/8 + (19*d[19])/24 + 
       (21*d[20])/8 - (19*d[21])/12 + (61*d[22])/24 + (17*d[23])/12 + 
       (83*d[24])/12 - d[26]/8 - (3*d[27])/8 + d[31] + d[32]/2 - 
       (7*d[33])/4 + (3*d[34])/4 + 3*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - w] + ((3*d[2])/4 - 2*d[3] + 2*d[4] + (15*d[5])/8 - 
       (7*d[6])/12 - (15*d[7])/8 + d[8]/6 + (4*d[9])/3 - (7*d[10])/6 - 
       (29*d[11])/12 - (13*d[12])/4 + d[13] - d[14]/2 - (23*d[15])/24 - 
       (11*d[16])/8 - (5*d[17])/8 - (9*d[18])/8 + (25*d[19])/12 - 
       (19*d[20])/4 + (5*d[21])/6 + (31*d[22])/12 - (35*d[23])/12 - 
       (149*d[24])/12 - d[27]/8 + d[31] + d[32]/2 - (5*d[33])/4 + d[34]/4 + 
       3*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w] + 
     ((11*d[3])/6 - 2*d[4] - (7*d[5])/12 + d[6]/6 + (13*d[7])/24 - 
       (67*d[8])/24 + (7*d[9])/8 - (4*d[10])/3 + (5*d[11])/3 - 
       (13*d[12])/12 - (2*d[13])/3 - (2*d[14])/3 - (13*d[15])/12 + 
       (59*d[16])/12 - (19*d[17])/12 + (25*d[18])/12 - (5*d[19])/12 + 
       (127*d[20])/48 + (13*d[21])/6 - d[22]/4 + (19*d[23])/24 + 
       (83*d[24])/16 - d[26]/3 - d[27]/6 - (2*d[31])/3 - d[32]/3 - d[33]/6 + 
       (5*d[34])/6 - (7*d[36])/2)*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w] + 
     (d[3] - d[4]/4 + d[6]/2 + d[7] + d[8] - d[9] + (47*d[10])/12 - 
       (37*d[11])/24 - (43*d[12])/12 - (11*d[14])/3 + (5*d[15])/6 + 
       (161*d[17])/24 - (55*d[18])/8 - (13*d[19])/12 + (23*d[20])/8 + 
       (23*d[21])/12 - (37*d[22])/12 + (49*d[23])/12 + (51*d[24])/8)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (-d[3]/3 + (2*d[4])/3 - d[5]/3 - (4*d[6])/3 - (5*d[7])/3 - (5*d[8])/3 + 
       2*d[9] + d[10]/3 + (11*d[11])/3 + (14*d[12])/3 + 5*d[14] + d[15] + 
       (2*d[16])/3 - (31*d[17])/6 + (9*d[18])/2 - d[19] - (85*d[20])/12 - 
       (13*d[21])/3 + (2*d[22])/3 - (25*d[23])/6 - (7*d[24])/6 - 
       (2*d[27])/3 + (2*d[32])/3 + (2*d[34])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (-d[4]/3 + d[5]/6 + d[6]/6 + d[7] + d[8] - (7*d[9])/6 - d[10]/6 - 
       d[11]/2 - d[12]/2 - (5*d[14])/6 - d[15]/6 - d[16]/3 + d[17] + 
       d[18]/3 + d[19]/6 + (13*d[20])/8 + (2*d[21])/3 + d[22]/6 - d[23]/12 - 
       (31*d[24])/24 + d[27]/3)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + ((13*d[3])/3 - (13*d[4])/3 - (23*d[5])/4 - 
       (7*d[6])/12 - (61*d[7])/12 + d[8]/3 + (7*d[9])/3 + (19*d[10])/4 + 
       (29*d[11])/12 + (65*d[12])/4 + 2*d[14] - (31*d[15])/12 - 
       (119*d[16])/12 - (7*d[17])/12 - (11*d[18])/12 + (23*d[19])/12 - 
       (253*d[20])/48 + (4*d[21])/3 - d[22]/12 - (361*d[23])/24 - 
       (665*d[24])/48 + (3*d[26])/4 + (5*d[27])/4 - d[29]/4 - (5*d[31])/3 - 
       (5*d[32])/6 + 3*d[33] - (5*d[34])/6 - d[35]/2 - 8*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (-d[3] - (5*d[4])/3 + (37*d[5])/6 + (17*d[6])/3 - (23*d[7])/12 - 
       (23*d[8])/4 + (19*d[9])/4 - (17*d[10])/2 + (16*d[11])/3 - 
       (53*d[12])/6 - (16*d[13])/3 - (17*d[14])/3 - (5*d[15])/2 + 
       (109*d[16])/6 - d[17]/2 - (3*d[18])/2 + d[19]/3 + (251*d[20])/24 + 
       (22*d[21])/3 + 4*d[22] + (49*d[23])/12 - (79*d[24])/24 - (5*d[26])/3 - 
       d[27]/2 + d[29]/3 + (2*d[31])/3 + (5*d[32])/3 - (11*d[33])/3 + 
       3*d[34] + d[35]/3 + d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (2*d[2] - (5*d[3])/4 - d[4]/6 + (59*d[5])/12 - (5*d[6])/3 + 
       (77*d[7])/24 - (205*d[8])/24 + (47*d[9])/24 - (85*d[10])/12 + 
       (41*d[11])/6 - (9*d[12])/2 - (23*d[13])/12 + (15*d[14])/4 - 
       (25*d[15])/8 + (149*d[16])/6 - (29*d[17])/24 - (15*d[18])/8 + 
       (5*d[19])/12 + (43*d[20])/24 + (13*d[21])/3 + (31*d[22])/12 + 
       (77*d[23])/12 + (157*d[24])/12 - (7*d[26])/12 - (11*d[27])/12 + 
       d[29]/2 + (5*d[31])/4 + (5*d[32])/8 - (13*d[33])/6 + (11*d[34])/12)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-23*d[3])/4 + 3*d[4] - (51*d[5])/8 - 2*d[6] - (51*d[7])/8 - 
       (89*d[8])/8 - (9*d[9])/4 - d[10]/8 - (9*d[11])/8 - d[14]/4 + 2*d[15] + 
       (11*d[16])/8 - (9*d[17])/4 + (9*d[18])/4 - (21*d[19])/8 - 
       (3*d[20])/8 - (3*d[21])/2 - (13*d[22])/8 + (3*d[23])/4 + 
       (105*d[24])/8 - d[26]/4 + (7*d[27])/4 + d[29]/8 + (3*d[32])/4 - 
       d[33] + d[34] + d[35]/2 + 6*d[36])*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w] + ((5*d[3])/3 - (4*d[4])/3 + d[5]/6 - (7*d[6])/6 - 
       d[7]/3 - d[8]/3 + d[9]/6 - (5*d[10])/6 + (10*d[11])/3 + (7*d[12])/6 - 
       (3*d[15])/2 - d[16]/3 + (7*d[17])/3 - 6*d[18] + (11*d[19])/6 - 
       (95*d[20])/24 + 2*d[21] + (11*d[22])/6 - (11*d[23])/12 - 
       (23*d[24])/24 + d[27]/3)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((-7*d[3])/3 + (10*d[4])/3 - (5*d[5])/3 + 
       (7*d[6])/9 - (8*d[7])/9 - (20*d[8])/9 + (11*d[9])/9 + (5*d[10])/9 - 
       (47*d[11])/18 + (7*d[12])/6 + (13*d[14])/3 + (16*d[15])/9 + 
       (5*d[16])/3 - (11*d[17])/3 + (14*d[18])/3 - (19*d[19])/9 - 
       (13*d[20])/4 - (25*d[21])/9 - (34*d[22])/9 + (17*d[23])/9 + 
       (163*d[24])/18 + (2*d[27])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((2*d[6])/9 + (13*d[7])/18 + (13*d[8])/18 - (13*d[9])/18 - 
       (20*d[10])/9 - (107*d[11])/36 - (9*d[12])/4 - (47*d[14])/12 - 
       (119*d[15])/72 + (29*d[17])/8 + (17*d[18])/24 + (55*d[19])/36 + 
       (79*d[20])/12 + (55*d[21])/36 + (55*d[22])/36 - (17*d[23])/9 - 
       (49*d[24])/18)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + (d[1] + (2*d[3])/3 - (4*d[4])/3 + (14*d[5])/3 + 
       (17*d[6])/9 - (169*d[7])/36 - (565*d[8])/36 + (517*d[9])/36 - 
       (2*d[10])/9 + d[11]/9 - (37*d[12])/3 + (10*d[13])/3 - (11*d[14])/3 - 
       (106*d[15])/9 + (38*d[16])/3 - d[17] - 10*d[18] + (167*d[19])/18 + 
       (479*d[20])/24 + (142*d[21])/9 + (251*d[22])/18 - (143*d[23])/36 + 
       (5*d[24])/72 - (4*d[26])/3 + 2*d[27] + d[28]/3 + d[29]/6 - 
       (4*d[30])/3 - d[31] + d[32]/6 - (13*d[33])/3 + (19*d[34])/3 + 
       d[35]/3 + d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((37*d[3])/9 - (16*d[4])/3 + (35*d[5])/36 + 
       (37*d[6])/12 + (59*d[7])/24 - (317*d[8])/72 - (95*d[9])/72 - 
       (197*d[10])/36 + (457*d[11])/36 + (26*d[12])/9 - (71*d[13])/9 + 
       (17*d[14])/18 - (19*d[15])/6 + (101*d[16])/9 - (229*d[17])/36 + 
       (139*d[18])/36 - (17*d[19])/12 - (5*d[20])/144 + (82*d[21])/9 - 
       (79*d[22])/36 - (331*d[23])/72 - (451*d[24])/144 - (43*d[26])/36 + 
       d[27]/36 - d[28]/2 - d[29]/4 + 2*d[30] - (2*d[31])/9 - d[32]/9 + 
       (7*d[33])/9 - (5*d[34])/9 - d[35]/2 - (35*d[36])/3)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-2*d[2] - d[3]/36 - d[4]/6 - (73*d[5])/18 + (7*d[6])/9 - 
       (313*d[7])/72 + (661*d[8])/72 - (55*d[9])/8 + (85*d[10])/9 - 
       (92*d[11])/9 + (41*d[12])/18 + (35*d[13])/36 - (151*d[14])/36 + 
       (443*d[15])/72 - (212*d[16])/9 + (173*d[17])/72 + (55*d[18])/72 - 
       (35*d[19])/18 - (119*d[20])/72 - (97*d[21])/18 - (7*d[22])/2 - 
       (23*d[23])/36 - (31*d[24])/4 + (11*d[26])/18 + (37*d[27])/18 - 
       d[28]/4 + d[30] - (43*d[31])/36 - (79*d[32])/72 + (14*d[33])/9 - 
       (13*d[34])/36 + (11*d[36])/3)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((2*d[3])/3 - 2*d[4] + (4*d[5])/3 - (4*d[6])/3 - 
       (2*d[7])/3 + d[8]/3 + (4*d[9])/3 - (2*d[10])/3 - (2*d[12])/3 + 
       d[14]/3 - 3*d[15] - 5*d[16] + (2*d[17])/3 - (4*d[18])/3 + 4*d[19] + 
       (11*d[20])/12 + (10*d[21])/3 + (10*d[22])/3 - (3*d[23])/2 - 
       (89*d[24])/12 + (2*d[26])/3 + d[27] - d[29]/3 + d[32]/3 + (2*d[34])/3)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (d[3]/2 - (21*d[4])/4 - (5*d[5])/2 + 2*d[6] + (15*d[7])/4 - (9*d[8])/8 - 
       d[9] - 5*d[10] + (9*d[11])/8 - d[12]/2 + (3*d[14])/2 + (9*d[15])/4 + 
       (13*d[16])/8 + (3*d[17])/2 - (7*d[19])/4 - (17*d[20])/8 + d[21] - 
       (3*d[22])/4 + (3*d[23])/4 + 9*d[24] - d[26]/4 - (3*d[27])/8 + 
       d[29]/8 - d[31]/2 - 2*d[32] - d[33] + 2*d[34] + d[35]/2 + 6*d[36])*
      HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     (-d[3]/2 - d[6]/6 - (2*d[7])/3 - (2*d[8])/3 + (2*d[9])/3 + 
       (37*d[10])/24 - d[11]/48 - d[12]/8 - d[14] - (37*d[15])/24 + 
       (7*d[17])/16 - (17*d[18])/16 + (5*d[19])/3 + (41*d[20])/16 + 
       (23*d[21])/12 + (31*d[22])/24 - (11*d[23])/24 - (103*d[24])/48)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]^2 + 
     (d[3]/2 + d[5]/3 - d[6] + (2*d[7])/3 + d[8] - d[9]/3 - (7*d[10])/3 + 
       (7*d[11])/6 + d[12]/3 + 2*d[14] - (5*d[15])/6 - d[17] - d[18] + 
       (2*d[19])/3 - 3*d[20] + d[21]/3 + d[22] - d[23]/3 - (4*d[24])/3 - 
       d[27]/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     (d[6] + d[7]/2 + d[8]/2 - d[9]/2 + (3*d[10])/4 - d[11] - d[12]/8 - 
       (7*d[14])/8 + (39*d[15])/16 + (9*d[17])/16 + (29*d[18])/16 - 
       (19*d[19])/8 + (9*d[20])/16 - (19*d[21])/8 - (19*d[22])/8 + 
       (3*d[23])/4 + (37*d[24])/16)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2 + 
     (-d[3]/6 - (17*d[5])/6 + (31*d[6])/12 - (31*d[7])/24 - d[8]/8 - 
       (67*d[9])/24 + 2*d[10] - (7*d[11])/2 - d[12]/12 + (43*d[13])/12 - 
       (23*d[14])/12 - (47*d[15])/12 - (7*d[16])/3 + (41*d[17])/12 - 
       (23*d[18])/12 + (25*d[19])/6 + (301*d[20])/48 + 5*d[21] + 
       (49*d[22])/12 - (51*d[23])/8 - (785*d[24])/48 - d[26]/3 + d[27]/3 + 
       d[28]/4 + d[29]/8 - d[30] - d[31]/6 + d[32]/6 + (7*d[33])/12 - 
       (11*d[34])/12 - d[36]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2 + ((7*d[3])/4 - 2*d[4] + (5*d[5])/4 - (5*d[6])/3 - 
       (37*d[7])/24 - (145*d[8])/24 + (103*d[9])/24 - (23*d[10])/6 + 
       (13*d[11])/6 - d[12]/4 - (17*d[13])/4 + d[14]/4 + (31*d[15])/12 + 
       (49*d[16])/8 - (11*d[17])/4 - (5*d[18])/4 - (43*d[19])/12 - 
       (51*d[20])/16 - (17*d[21])/6 - (11*d[22])/6 + (73*d[23])/24 + 
       (731*d[24])/48 - d[26]/4 - d[27]/4 - d[28]/4 - d[29]/8 + d[30] - 
       d[31] - (3*d[32])/4 - (7*d[33])/4 + 3*d[34] - (3*d[36])/2)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2 + 
     ((-4*d[3])/3 + 2*d[4] - (5*d[5])/12 - (5*d[6])/12 + d[7]/3 + 
       (71*d[8])/12 - (13*d[9])/4 + (17*d[10])/6 - (7*d[11])/6 + 
       (23*d[12])/6 + (2*d[13])/3 + (2*d[14])/3 + (7*d[15])/3 - 
       (83*d[16])/12 + (25*d[17])/12 - (7*d[18])/12 - (7*d[19])/12 - 
       (113*d[20])/24 - (25*d[21])/6 - (7*d[22])/4 - (17*d[23])/12 - 
       (55*d[24])/8 + (7*d[26])/12 - d[27]/12 + (2*d[31])/3 + d[32]/3 + 
       (7*d[33])/6 - (11*d[34])/6 + 2*d[36])*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]^2 + (3*d[3] - (7*d[4])/4 - (9*d[5])/4 + 
       (19*d[6])/8 + (5*d[7])/4 - (3*d[8])/2 - (3*d[9])/2 - d[10]/8 - 
       (3*d[11])/4 - d[13]/4 + (3*d[14])/4 - (23*d[15])/4 - d[16] + 
       (21*d[17])/8 - (31*d[18])/8 + (11*d[19])/2 + 3*d[20] + (33*d[21])/4 + 
       (21*d[22])/4 - (19*d[23])/4 - (73*d[24])/8 + d[26]/8 + d[27] - 
       d[29]/8 - (3*d[31])/2 - d[32]/4 + d[33]/4 + (3*d[34])/2)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2 + 
     ((7*d[3])/2 - (17*d[4])/4 - (5*d[5])/4 - (11*d[6])/8 - (3*d[7])/2 - 
       2*d[8] + (7*d[9])/4 + (13*d[10])/4 + (19*d[11])/4 - d[13]/4 + 
       (27*d[15])/4 + 4*d[16] - (29*d[17])/8 + (51*d[18])/8 - (27*d[19])/4 - 
       (15*d[20])/4 - (7*d[21])/2 - (13*d[22])/2 + (9*d[23])/2 + 
       (127*d[24])/8 - d[26]/8 - 2*d[27] + d[29]/8 - d[31]/2 - d[32]/4 - 
       d[33]/4 + d[34])*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     ((-8*d[6])/3 - (8*d[7])/3 - (8*d[8])/3 + (8*d[9])/3 + (20*d[10])/3 + 
       4*d[11] + 4*d[12] - d[15]/3 - (7*d[17])/3 - 3*d[18] - (17*d[20])/2 + 
       (5*d[23])/3 + (67*d[24])/6)*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - u] + 
     (2*d[3] - 3*d[4] - 2*d[5] + (29*d[6])/6 + (23*d[7])/6 + (5*d[8])/6 - 
       (17*d[9])/6 - (43*d[10])/3 - (17*d[11])/6 - 5*d[12] - (2*d[15])/3 + 
       d[16] + 5*d[17] - d[18] - d[19]/3 + (21*d[20])/2 + (11*d[21])/3 - 
       d[22]/3 - (7*d[23])/3 - (103*d[24])/12 + 2*d[27] - d[32]/2)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (-d[3] + (3*d[4])/2 + d[5] - (17*d[6])/9 - (7*d[7])/18 + (10*d[8])/9 - 
       d[9]/9 + (127*d[10])/18 - (47*d[11])/18 - (7*d[14])/6 + 
       (29*d[15])/18 - d[16]/2 - (31*d[17])/12 + (65*d[18])/12 - 
       (29*d[19])/18 + (5*d[20])/12 - (65*d[21])/18 - (47*d[22])/18 + 
       (8*d[23])/9 - (67*d[24])/36 - d[27])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - u] + ((-5*d[6])/18 - (5*d[7])/18 - (5*d[8])/18 + 
       (5*d[9])/18 - (8*d[10])/9 + (23*d[11])/18 + d[12] + (7*d[14])/6 - 
       (5*d[15])/18 - (5*d[17])/12 - (5*d[18])/12 + (5*d[19])/18 - 
       (29*d[20])/12 + (5*d[21])/18 + (5*d[22])/18 - (2*d[23])/9 + 
       (16*d[24])/9)*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - u] + 
     ((17*d[3])/6 - 4*d[4] - (31*d[5])/12 + (5*d[6])/2 - (37*d[7])/8 - 
       (281*d[8])/24 + (49*d[9])/24 - d[10]/6 + (4*d[11])/3 - (10*d[12])/3 - 
       (19*d[13])/6 + d[14]/3 - (9*d[15])/2 - (13*d[16])/3 - (11*d[17])/6 - 
       (67*d[18])/6 + 4*d[19] + (77*d[20])/24 + (34*d[21])/3 + (25*d[22])/6 - 
       (53*d[23])/12 - (41*d[24])/6 - (4*d[26])/3 + (31*d[27])/12 - d[28]/4 - 
       d[29]/4 - d[30] - (2*d[31])/3 - d[32]/3 - d[33]/6 + (5*d[34])/6 - 
       d[35]/4 - 2*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + ((-2*d[2])/3 - (10*d[3])/3 + (14*d[4])/3 - 
       (7*d[5])/3 - 2*d[6] - (7*d[7])/3 - 6*d[8] + (16*d[9])/3 - 
       (16*d[10])/3 - (22*d[11])/3 - 3*d[12] + (16*d[13])/3 - 2*d[14] + 
       (4*d[15])/3 + (23*d[16])/3 - 2*d[17] - (14*d[19])/3 + (7*d[20])/3 - 
       (17*d[21])/3 - (8*d[22])/3 + 5*d[23] + (287*d[24])/12 - d[27]/3 + 
       (2*d[28])/3 + d[29]/3 + (8*d[30])/3 - (2*d[31])/3 - d[32]/3 - 
       2*d[33] + (8*d[34])/3 + d[35]/3 + 2*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((-5*d[3])/9 + (5*d[4])/6 - (43*d[5])/36 + (59*d[6])/36 + (23*d[7])/36 + 
       (175*d[8])/36 - (35*d[9])/6 + (113*d[10])/36 - (193*d[11])/36 - 
       (19*d[12])/36 + d[13]/9 - (26*d[14])/9 + (89*d[15])/36 - 
       (58*d[16])/9 + (113*d[17])/36 + (49*d[18])/36 - (47*d[19])/36 + 
       (1367*d[20])/288 - (79*d[21])/36 - (29*d[22])/12 - d[23]/144 - 
       (285*d[24])/32 + (5*d[26])/36 + (5*d[27])/18 - d[28]/3 - (4*d[30])/3 + 
       (5*d[31])/18 + (5*d[32])/36 + (10*d[33])/9 - (25*d[34])/18 + 
       (5*d[36])/6)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (-2*d[2] - (5*d[3])/12 - 2*d[4] + (25*d[5])/6 + 2*d[6] + 2*d[7] - 
       (47*d[8])/6 + (19*d[9])/6 - (37*d[10])/12 + (3*d[11])/4 - 
       (21*d[12])/2 - d[13]/6 - 2*d[14] + (7*d[15])/6 + (79*d[16])/6 - 
       (17*d[17])/12 - (35*d[18])/12 - (8*d[19])/3 + (28*d[20])/3 + 
       (7*d[21])/6 - d[22]/2 + 8*d[23] + (173*d[24])/12 - (5*d[26])/6 - 
       d[27]/6 + d[31]/3 + d[32]/6 - (8*d[33])/3 + (7*d[34])/3 - 2*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u] + 
     (2*d[2] + (8*d[3])/3 - 4*d[4] + d[5]/2 - (3*d[6])/2 - (4*d[7])/3 - 
       (38*d[8])/3 + 9*d[9] - (26*d[10])/3 + (11*d[11])/2 - (17*d[12])/3 - 
       3*d[13] + (19*d[14])/6 - (14*d[15])/3 + (97*d[16])/6 - (73*d[17])/12 + 
       (5*d[18])/12 + 2*d[19] + (7*d[20])/2 + (17*d[21])/3 + 5*d[22] + 
       (5*d[23])/3 + (185*d[24])/12 - (2*d[26])/3 - d[27]/6 + d[28]/6 + 
       (2*d[30])/3 - (4*d[31])/3 - (2*d[32])/3 - 3*d[33] + (13*d[34])/3 - 
       4*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u] + 
     (-d[1]/6 - (3*d[2])/2 + (5*d[4])/6 - (53*d[5])/24 + (7*d[6])/12 + d[7] + 
       (197*d[8])/24 - (133*d[9])/24 + (157*d[10])/24 - (79*d[11])/24 + 
       (9*d[12])/2 + d[13]/3 - (3*d[14])/2 + (13*d[15])/4 - (319*d[16])/24 + 
       (29*d[17])/12 + (5*d[18])/4 - (17*d[19])/24 - (407*d[20])/96 - 
       (11*d[21])/3 - (67*d[22])/24 - (103*d[23])/48 - (631*d[24])/96 + 
       (5*d[26])/12 + (5*d[27])/24 + (25*d[33])/12 - (25*d[34])/12)*
      HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u] + 
     (-2*d[3] + 2*d[4] - d[5] - (2*d[6])/3 - (5*d[7])/3 - (11*d[8])/3 + 
       (32*d[9])/3 - d[10]/3 + (29*d[11])/3 + 4*d[12] - 2*d[13] - 
       (20*d[15])/3 - 2*d[16] + 4*d[17] - 18*d[18] + (20*d[19])/3 - 4*d[20] + 
       (20*d[21])/3 + (20*d[22])/3 - (4*d[23])/3 + (8*d[24])/3 - d[29] - 
       d[35] + 6*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u] + (2*d[3] - 2*d[4] + d[5] + (2*d[6])/3 + 
       (5*d[7])/3 + (11*d[8])/3 - (32*d[9])/3 + d[10]/3 - (29*d[11])/3 - 
       4*d[12] + 2*d[13] + (20*d[15])/3 + 2*d[16] - 4*d[17] + 18*d[18] - 
       (20*d[19])/3 + 4*d[20] - (20*d[21])/3 - (20*d[22])/3 + (4*d[23])/3 - 
       (8*d[24])/3 + d[29] + d[35] - 6*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (6*d[2] + (7*d[3])/3 - 5*d[4] - (5*d[5])/6 + (5*d[6])/3 - (22*d[7])/3 - 
       (74*d[8])/3 + (19*d[9])/2 - (25*d[10])/3 - (41*d[11])/6 - 
       (31*d[12])/3 - (2*d[13])/3 - (8*d[14])/3 - (25*d[15])/3 + 
       (32*d[16])/3 + (2*d[17])/3 - (50*d[18])/3 + (16*d[19])/3 + 
       (133*d[20])/12 + (35*d[21])/3 + 10*d[22] + d[23]/6 + (27*d[24])/4 - 
       (4*d[26])/3 + (4*d[27])/3 - d[29]/2 - (5*d[31])/3 - (5*d[32])/6 - 
       (14*d[33])/3 + (19*d[34])/3 - d[35]/2 - 2*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (2*d[3] - 2*d[4] + d[5] + (11*d[6])/9 + (20*d[7])/9 + (56*d[8])/9 + 
       (43*d[9])/9 + d[10]/9 + (52*d[11])/9 + 4*d[12] - 4*d[13] + 
       (5*d[14])/3 - (7*d[15])/9 - 8*d[16] + (5*d[17])/6 - (19*d[18])/6 + 
       (7*d[19])/9 - (17*d[20])/3 + (7*d[21])/9 + (7*d[22])/9 - 
       (29*d[23])/9 - (83*d[24])/9 - d[29] - d[35] - 6*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (-2*d[3] + 2*d[4] - d[5] - (11*d[6])/9 - (20*d[7])/9 - (56*d[8])/9 - 
       (43*d[9])/9 - d[10]/9 - (52*d[11])/9 - 4*d[12] + 4*d[13] - 
       (5*d[14])/3 + (7*d[15])/9 + 8*d[16] - (5*d[17])/6 + (19*d[18])/6 - 
       (7*d[19])/9 + (17*d[20])/3 - (7*d[21])/9 - (7*d[22])/9 + 
       (29*d[23])/9 + (83*d[24])/9 + d[29] + d[35] + 6*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((-16*d[3])/9 + d[4] + (161*d[5])/18 + (11*d[6])/18 - d[7]/18 - 
       (137*d[8])/18 + (7*d[9])/3 - (44*d[10])/9 + (65*d[11])/18 - 
       (91*d[12])/18 - (10*d[13])/9 + (20*d[14])/9 - (55*d[15])/18 + 
       (82*d[16])/9 + (5*d[17])/18 - (107*d[18])/18 + (31*d[19])/18 + 
       (443*d[20])/144 + (77*d[21])/18 + (7*d[22])/2 + (131*d[23])/72 + 
       (317*d[24])/48 - d[25]/6 - (7*d[26])/18 - d[27]/9 - d[29]/3 + 
       (5*d[31])/9 + (5*d[32])/18 - (16*d[33])/9 + (11*d[34])/9 + 
       (11*d[36])/3)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u] + (d[3] - d[4] + d[5]/2 + (4*d[6])/3 + 
       (11*d[7])/6 + (11*d[8])/6 + (11*d[9])/3 - (7*d[10])/6 + (3*d[11])/2 + 
       (2*d[12])/3 - (2*d[14])/3 - d[15]/3 - 2*d[16] + (11*d[17])/6 - 
       (3*d[18])/2 + d[19]/3 + d[21]/3 + d[22]/3 - d[23] - (10*d[24])/3 - 
       d[29]/2 - d[35]/2 - 3*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + ((-2*d[3])/3 + (2*d[4])/3 - d[5]/3 - 
       (5*d[6])/3 - (8*d[7])/3 - 2*d[8] - (13*d[9])/3 + 3*d[10] - 
       (5*d[11])/3 + d[14] + (2*d[15])/3 + (8*d[16])/3 - (13*d[17])/6 + 
       (13*d[18])/6 - (2*d[19])/3 - d[20]/3 - (2*d[21])/3 - (2*d[22])/3 + 
       d[23]/3 + 3*d[24] + (2*d[29])/3 + d[35]/3 + 2*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((8*d[3])/3 - (7*d[4])/3 + (41*d[5])/12 + (3*d[6])/2 - d[7]/2 + 
       (139*d[8])/12 - d[9]/12 + (37*d[10])/6 + (9*d[11])/4 + (13*d[12])/3 - 
       (5*d[13])/3 - d[14]/3 + (17*d[15])/6 - (79*d[16])/4 + (2*d[17])/3 + 
       (11*d[18])/3 + (11*d[19])/4 - (17*d[20])/16 - (19*d[21])/2 + 
       (89*d[22])/12 - (59*d[23])/24 - (835*d[24])/48 + d[25]/4 + d[26]/6 - 
       (5*d[27])/12 - (3*d[29])/4 - d[31]/3 - d[32]/6 - (14*d[33])/3 + 
       5*d[34] - d[35]/2 - 7*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + (-d[5] - 4*d[8] + 2*d[9] - 4*d[10] - d[11] + 
       4*d[16] + 12*d[24])*HPL[{0, 0, 1}, 1 - u]^2 + 
     ((5*d[6])/9 + (5*d[7])/9 + (5*d[8])/9 - (5*d[9])/9 + (5*d[10])/18 - 
       (65*d[11])/36 - d[12]/4 - (5*d[14])/6 + (5*d[15])/9 + (35*d[17])/6 - 
       (25*d[18])/6 - (5*d[19])/9 + (10*d[20])/3 + (13*d[21])/9 - 
       (20*d[22])/9 + (25*d[23])/36 + (13*d[24])/9)*HPL[{1}, 1 - u]^3*
      HPL[{0, 0, 1}, 1 - v] + (-d[3] + 2*d[4] + d[5] - d[6]/18 + 
       (35*d[7])/18 + (22*d[8])/9 - (17*d[9])/18 + (31*d[10])/18 + 
       (83*d[11])/36 + (5*d[12])/4 + (17*d[14])/6 + (31*d[15])/9 - d[16]/2 - 
       (41*d[17])/6 + (31*d[18])/6 - (31*d[19])/9 - (34*d[20])/3 - 
       (67*d[21])/9 - (13*d[22])/9 - (241*d[23])/36 - (79*d[24])/36 - 
       d[27]/2 - d[32]/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + (2*d[3] - 4*d[4] - 2*d[5] - (19*d[6])/6 - 
       (37*d[7])/6 - (23*d[8])/3 + (31*d[9])/6 - (4*d[10])/3 + (29*d[11])/3 + 
       d[12] - 2*d[14] - (20*d[15])/3 + 2*d[16] - 4*d[17] - 6*d[18] + 
       (17*d[19])/3 + (19*d[20])/4 + (29*d[21])/3 + (11*d[22])/3 + 
       (67*d[23])/6 + (53*d[24])/12 + d[27]/2 + d[32])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((8*d[6])/3 + (8*d[7])/3 + (8*d[8])/3 - (8*d[9])/3 - (17*d[11])/3 - 
       2*d[12] + (8*d[15])/3 + (16*d[17])/3 + 4*d[18] - (8*d[19])/3 + 
       (13*d[20])/4 - (8*d[21])/3 - (8*d[22])/3 - (31*d[23])/6 - (7*d[24])/6)*
      HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v] + 
     ((-10*d[3])/9 + 2*d[4] - (25*d[5])/18 - (11*d[6])/9 - (341*d[7])/144 + 
       (479*d[8])/144 - (73*d[9])/48 + (59*d[10])/18 + (95*d[11])/72 + 
       (37*d[12])/9 + (25*d[13])/18 - (5*d[14])/18 + (85*d[15])/36 - 
       (215*d[16])/36 - (43*d[17])/18 - (16*d[18])/9 - (23*d[19])/18 - 
       (2591*d[20])/288 - (239*d[21])/36 + d[22]/3 - (359*d[23])/144 - 
       (523*d[24])/96 + (13*d[26])/36 + (5*d[27])/36 + (5*d[31])/9 + 
       (5*d[32])/18 + (25*d[33])/18 - (35*d[34])/18 + (5*d[36])/3)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((2*d[2])/3 + (4*d[3])/3 - 6*d[4] + 6*d[5] - d[6]/3 + (15*d[7])/2 + 
       (5*d[8])/6 + d[9]/2 - (17*d[10])/3 + d[11]/3 - (22*d[12])/3 - 
       (4*d[13])/3 + d[14]/3 - (31*d[15])/3 + 12*d[16] - 2*d[17] + 
       (22*d[18])/3 + (29*d[19])/3 + (187*d[20])/12 + (43*d[21])/3 + 
       9*d[22] + (15*d[23])/2 - (22*d[24])/3 - d[26] - (10*d[27])/3 + 
       (2*d[31])/3 - (2*d[32])/3 - 2*d[33] + 2*d[34] + d[35]/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((10*d[3])/3 - (11*d[4])/2 + (13*d[5])/6 - (7*d[6])/12 - (79*d[7])/12 - 
       (221*d[8])/12 + (53*d[9])/4 - (67*d[10])/12 - (43*d[11])/12 - 
       (133*d[12])/12 - (8*d[13])/3 + (7*d[14])/12 - (37*d[15])/12 + 
       (167*d[16])/12 - (13*d[17])/3 - (43*d[18])/6 + (7*d[19])/12 + 
       (179*d[20])/24 + (5*d[21])/3 + (23*d[22])/4 - (23*d[23])/6 + 
       (85*d[24])/8 - d[26]/12 + (4*d[27])/3 - (8*d[31])/3 - (5*d[32])/6 - 
       (31*d[33])/6 + (47*d[34])/6 - d[35]/4 - 2*d[36])*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (-d[2] + (8*d[3])/3 - (13*d[4])/3 - (2*d[5])/3 + (13*d[6])/18 + 
       (7*d[7])/18 - (149*d[8])/18 + (65*d[9])/18 - (43*d[10])/18 + 
       (43*d[11])/36 - (67*d[12])/12 - (4*d[13])/3 - (7*d[14])/6 - 
       (52*d[15])/9 + (31*d[16])/6 - 4*d[17] + (2*d[18])/3 + (77*d[19])/18 + 
       (85*d[20])/12 + (109*d[21])/9 + (77*d[22])/18 + (31*d[23])/36 + 
       (29*d[24])/18 - (5*d[26])/6 + (2*d[27])/3 - (4*d[31])/3 - 
       (2*d[32])/3 - (4*d[33])/3 + (8*d[34])/3 - 4*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((-3*d[3])/2 - d[4]/4 - 2*d[5] - (5*d[6])/9 - (91*d[7])/18 - 
       (73*d[8])/18 + (32*d[9])/9 + (83*d[10])/36 - (187*d[11])/36 - 
       d[12]/4 + 2*d[13] - (17*d[14])/6 - (37*d[15])/18 - (27*d[16])/4 - 
       d[17] - (23*d[18])/6 + (23*d[19])/9 + (19*d[20])/6 + (37*d[21])/18 + 
       (23*d[22])/9 - (181*d[23])/36 - (223*d[24])/36 + (3*d[27])/2 - 
       d[32]/4)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     (d[1]/6 + 2*d[2] - (5*d[3])/18 + (5*d[4])/6 + (25*d[5])/36 - 
       (97*d[6])/72 + (175*d[7])/144 + (323*d[8])/144 - (27*d[9])/16 - 
       (85*d[10])/72 + (73*d[11])/36 + (37*d[12])/36 - (5*d[13])/18 + 
       (37*d[14])/18 - (43*d[15])/72 + (115*d[16])/36 - (17*d[17])/36 + 
       (41*d[18])/36 + (11*d[19])/36 + (685*d[20])/288 - (17*d[21])/9 - 
       d[22]/4 + (133*d[23])/144 - (181*d[24])/32 + d[25]/8 + (35*d[26])/72 - 
       (25*d[27])/36 + (5*d[31])/9 + (5*d[32])/18 + (5*d[33])/9 - 
       (10*d[34])/9 - (5*d[36])/6)*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v] + 
     (-2*d[3] + (16*d[6])/9 - (2*d[7])/9 + (16*d[8])/9 - (16*d[9])/9 + 
       (17*d[10])/9 + (103*d[11])/18 - (5*d[12])/2 - (2*d[14])/3 + 
       (34*d[15])/9 - d[16] + (5*d[17])/3 - (7*d[18])/3 - (25*d[19])/9 + 
       (5*d[20])/12 - (16*d[21])/9 - (43*d[22])/9 + (20*d[23])/9 + 
       (215*d[24])/36 - d[32] + 2*d[34] + d[35] + 6*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (2*d[3] - (16*d[6])/9 + (2*d[7])/9 - (16*d[8])/9 + (16*d[9])/9 - 
       (17*d[10])/9 - (103*d[11])/18 + (5*d[12])/2 + (2*d[14])/3 - 
       (34*d[15])/9 + d[16] - (5*d[17])/3 + (7*d[18])/3 + (25*d[19])/9 - 
       (5*d[20])/12 + (16*d[21])/9 + (43*d[22])/9 - (20*d[23])/9 - 
       (215*d[24])/36 + d[32] - 2*d[34] - d[35] - 6*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((-4*d[2])/3 - (14*d[3])/9 + 2*d[4] - (4*d[5])/9 + (25*d[6])/18 - 
       (209*d[7])/72 + (131*d[8])/72 + (11*d[9])/24 + (20*d[10])/9 - 
       (181*d[11])/36 - (4*d[12])/9 + (13*d[13])/9 - (5*d[14])/9 + 
       (61*d[15])/18 - (179*d[16])/18 + d[17]/18 - (31*d[18])/18 - 
       (17*d[19])/9 - (287*d[20])/144 - (53*d[21])/18 - (119*d[23])/72 - 
       (203*d[24])/48 + d[25]/2 - (4*d[26])/9 + (17*d[27])/18 + d[29]/6 - 
       (2*d[31])/9 - (7*d[32])/9 - (5*d[33])/9 - (5*d[34])/9 + (16*d[36])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (2*d[3] - (2*d[6])/3 + (4*d[7])/3 - (14*d[8])/3 + (14*d[9])/3 + 
       (20*d[10])/3 + (32*d[11])/3 + 3*d[14] - (8*d[15])/3 + d[16] + 
       4*d[17] - 18*d[18] + (5*d[19])/3 - (23*d[20])/4 + (8*d[21])/3 + 
       (5*d[22])/3 - (5*d[23])/6 + (107*d[24])/12 + d[32] - 2*d[34] + d[35] - 
       6*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (-2*d[3] + (2*d[6])/3 - (4*d[7])/3 + (14*d[8])/3 - (14*d[9])/3 - 
       (20*d[10])/3 - (32*d[11])/3 - 3*d[14] + (8*d[15])/3 - d[16] - 
       4*d[17] + 18*d[18] - (5*d[19])/3 + (23*d[20])/4 - (8*d[21])/3 - 
       (5*d[22])/3 + (5*d[23])/6 - (107*d[24])/12 - d[32] + 2*d[34] - d[35] + 
       6*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((16*d[3])/3 - 8*d[4] - (11*d[5])/6 + (2*d[6])/3 - (16*d[7])/3 - 
       (62*d[8])/3 + (17*d[9])/2 - (53*d[10])/6 - (71*d[11])/6 - 
       (40*d[12])/3 - (2*d[13])/3 - (8*d[14])/3 - (17*d[15])/6 + 
       (35*d[16])/3 - (16*d[17])/3 - (8*d[18])/3 + (10*d[19])/3 + 
       (103*d[20])/12 + (20*d[21])/3 + 10*d[22] + (55*d[23])/6 + 
       (79*d[24])/4 + d[25]/2 - (4*d[26])/3 + (4*d[27])/3 - (2*d[31])/3 - 
       (11*d[32])/6 - (17*d[33])/3 + (22*d[34])/3 - d[35]/2 - 2*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((4*d[3])/3 + (16*d[6])/9 + (22*d[7])/9 + (10*d[8])/9 - (10*d[9])/9 - 
       (4*d[10])/9 + (61*d[11])/18 + (11*d[12])/6 + (10*d[14])/3 + 
       (22*d[15])/9 - d[16]/3 - (4*d[17])/3 + d[18]/3 - (19*d[19])/9 - 
       (25*d[20])/4 - (40*d[21])/9 - d[22]/9 + (8*d[23])/9 + (215*d[24])/36 - 
       d[32]/3 + (2*d[34])/3 + d[35]/3 + 2*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (-d[3] - (7*d[6])/9 - (16*d[7])/9 - (7*d[8])/9 + (7*d[9])/9 + 
       (7*d[10])/9 - (49*d[11])/18 - d[12]/2 - (25*d[14])/6 - (25*d[15])/9 + 
       d[16]/2 + d[17] + d[18]/3 + (41*d[19])/18 + (85*d[20])/12 + 
       (43*d[21])/9 + (5*d[22])/18 - (8*d[23])/9 - (251*d[24])/36 + d[32]/2 - 
       d[34] - d[35]/2 - 3*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + ((10*d[3])/9 - (4*d[4])/3 + (29*d[5])/9 - 
       (10*d[6])/9 + (55*d[7])/72 - (349*d[8])/72 + (41*d[9])/8 - 
       (19*d[10])/36 + (133*d[11])/18 - (83*d[12])/18 - (17*d[13])/9 + 
       (23*d[14])/18 - (101*d[15])/18 + (161*d[16])/36 - (55*d[17])/9 + 
       (13*d[18])/9 + (77*d[19])/18 + (565*d[20])/144 + d[21]/18 + 
       (5*d[22])/2 + (157*d[23])/72 - (153*d[24])/16 + d[25]/4 + 
       (55*d[26])/18 - (13*d[27])/18 - d[29]/4 + (7*d[31])/9 + 
       (61*d[32])/18 - (2*d[33])/9 - (5*d[34])/9 - d[35]/2 - (26*d[36])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (8*d[3] - 2*d[5] - d[7] + 2*d[9] - 3*d[10] - 7*d[11] + 4*d[19] + 
       2*d[21] + 4*d[22] - 4*d[24] - 2*d[27] - 3*d[32] + 2*d[34])*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (-2*d[3] + 2*d[4] - d[5] - 3*d[7] + 2*d[8] - 7*d[9] + 2*d[11] + 
       d[16]/2 - 2*d[19] + 3*d[21] - 3*d[22] - d[24]/2 + d[34])*
      HPL[{0, 0, 1}, 1 - v]^2 + ((-4*d[3])/3 - (5*d[10])/6 - (5*d[11])/12 + 
       (5*d[12])/12 + (5*d[14])/6 + (5*d[15])/6 + (7*d[17])/12 + d[18]/4 - 
       (5*d[19])/6 - (5*d[21])/6 - (5*d[22])/6 - (5*d[23])/12)*
      HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - w] + 
     (3*d[3] - (4*d[6])/3 - (4*d[7])/3 - (4*d[8])/3 + (4*d[9])/3 + 
       (11*d[10])/6 + (15*d[11])/4 + (19*d[12])/12 - (5*d[14])/6 - 
       (13*d[15])/6 - (31*d[17])/12 - (9*d[18])/4 + (13*d[19])/6 - 4*d[20] + 
       (13*d[21])/6 + (13*d[22])/6 - d[23]/4 + (4*d[24])/3)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (-d[3] + (29*d[6])/18 + (29*d[7])/18 + (29*d[8])/18 - (29*d[9])/18 - 
       (47*d[10])/18 - (211*d[11])/36 - (17*d[12])/4 - (5*d[14])/6 + 
       (29*d[15])/18 + (13*d[17])/4 + (29*d[18])/12 - (29*d[19])/18 + 
       (23*d[20])/3 - (29*d[21])/18 - (29*d[22])/18 + (65*d[23])/36 - 
       (29*d[24])/18)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - w] + ((-5*d[6])/18 - (5*d[7])/18 - (5*d[8])/18 + 
       (5*d[9])/18 + (5*d[10])/18 + (91*d[11])/36 + (9*d[12])/4 + 
       (5*d[14])/6 - (5*d[15])/18 - (5*d[17])/4 - (5*d[18])/12 + 
       (5*d[19])/18 - (11*d[20])/3 + (5*d[21])/18 + (5*d[22])/18 - 
       (41*d[23])/36 + (5*d[24])/18)*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - w] + ((-2*d[3])/3 + (8*d[4])/3 - (13*d[6])/12 + 
       (131*d[7])/48 + (199*d[8])/48 - (191*d[9])/48 + (35*d[10])/12 + 
       (7*d[11])/8 + (17*d[12])/12 - d[14]/6 + (21*d[15])/4 + d[16]/12 + 
       (7*d[17])/2 - (8*d[18])/3 - (53*d[19])/12 - (107*d[20])/24 - 
       (11*d[21])/2 - (71*d[22])/12 + (35*d[23])/12 + (295*d[24])/48 - 
       (3*d[27])/2 + (5*d[31])/6 + (5*d[32])/12 - (5*d[34])/6 + (5*d[36])/2)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (8*d[3] - (20*d[4])/3 - (4*d[5])/3 + (4*d[6])/3 - (29*d[7])/6 - 
       (89*d[8])/6 + (41*d[9])/6 + (14*d[10])/3 + (25*d[11])/3 - 
       (23*d[12])/3 - (4*d[13])/3 + 3*d[14] - (20*d[15])/3 + 6*d[16] - 
       (22*d[17])/3 + (4*d[18])/3 + (16*d[19])/3 + (47*d[20])/12 + 
       (40*d[21])/3 + 8*d[22] + (23*d[23])/6 + (125*d[24])/12 - (2*d[26])/3 + 
       (8*d[27])/3 - (4*d[31])/3 - (2*d[32])/3 - (4*d[33])/3 + (8*d[34])/3 - 
       4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + ((-41*d[3])/36 + (13*d[4])/6 - (23*d[5])/18 - 
       (55*d[6])/36 + (185*d[7])/144 + (997*d[8])/144 - (163*d[9])/48 + 
       (41*d[10])/36 - (563*d[11])/72 + (17*d[12])/9 + (10*d[13])/9 - 
       (89*d[14])/36 + (35*d[15])/36 - (43*d[16])/9 + (43*d[17])/18 + 
       (71*d[18])/18 + (7*d[19])/36 + (421*d[20])/144 - (34*d[21])/9 - 
       (13*d[22])/12 - (191*d[23])/72 - (59*d[24])/6 + (5*d[26])/9 - 
       (53*d[27])/36 - (2*d[31])/9 - d[32]/9 + (5*d[33])/18 - d[34]/18 + 
       (10*d[36])/3)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + (d[3]/3 + (5*d[5])/3 - (5*d[6])/2 - 
       (11*d[7])/4 + (11*d[8])/12 + (23*d[9])/12 + (11*d[10])/6 + 
       (43*d[11])/12 + (5*d[12])/3 + (4*d[13])/3 - (2*d[14])/3 - 
       (23*d[15])/2 - (13*d[16])/3 - (55*d[17])/12 - (77*d[18])/12 + 
       (25*d[19])/2 + (7*d[20])/12 + (34*d[21])/3 + (73*d[22])/6 - 
       (25*d[23])/6 - (173*d[24])/6 + d[26]/6 + (5*d[27])/6 + d[31]/3 - 
       d[32]/12 + d[33]/3 - (2*d[34])/3 + d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-5*d[3])/6 + d[4] + (13*d[5])/3 + 3*d[6] + (5*d[7])/4 - (55*d[8])/6 + 
       (91*d[9])/12 - (47*d[10])/6 - (13*d[11])/3 - (32*d[12])/3 - 
       (4*d[13])/3 + (2*d[14])/3 + 3*d[15] + (28*d[16])/3 + (5*d[17])/6 + 
       (19*d[18])/6 - (9*d[19])/2 + (107*d[20])/12 - (7*d[21])/3 - 
       (13*d[22])/6 + (25*d[23])/6 + (143*d[24])/6 - (2*d[26])/3 + 
       (11*d[27])/12 + (7*d[31])/6 + (5*d[32])/6 - (10*d[33])/3 + 
       (5*d[34])/3 - d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w] + ((22*d[3])/3 - 8*d[4] - (7*d[5])/3 + 
       (2*d[6])/3 + (13*d[7])/6 - (67*d[8])/6 + (7*d[9])/2 - (16*d[10])/3 + 
       (20*d[11])/3 - (13*d[12])/3 - (8*d[13])/3 - (8*d[14])/3 - 
       (13*d[15])/3 + (59*d[16])/3 - (19*d[17])/3 + (25*d[18])/3 - 
       (5*d[19])/3 + (127*d[20])/12 + (26*d[21])/3 - d[22] + (19*d[23])/6 + 
       (83*d[24])/4 - (4*d[26])/3 - (2*d[27])/3 - (8*d[31])/3 - (4*d[32])/3 - 
       (2*d[33])/3 + (10*d[34])/3 - 14*d[36])*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - w] + (-d[3] - d[6]/3 - d[7]/3 - d[8]/3 + d[9]/3 + 
       (2*d[10])/3 + (7*d[11])/2 + (29*d[12])/6 + (13*d[14])/6 + 
       (16*d[15])/3 + d[17]/6 - (3*d[18])/2 - (19*d[19])/3 - 7*d[20] - 
       (16*d[21])/3 - (22*d[22])/3 + d[23]/2 + (47*d[24])/6)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     ((4*d[3])/3 - (4*d[4])/3 + (2*d[6])/3 + (2*d[7])/3 + (2*d[8])/3 - 
       (2*d[9])/3 - d[10] - (7*d[11])/6 - d[12]/6 - (7*d[14])/3 - 
       (17*d[15])/3 - d[17]/2 + (13*d[18])/6 + (17*d[19])/3 + (43*d[20])/6 + 
       (17*d[21])/3 + (17*d[22])/3 - d[23]/6 - (49*d[24])/6)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     ((7*d[3])/3 - (5*d[4])/3 + (13*d[5])/3 + (5*d[6])/2 + (25*d[7])/8 + 
       (43*d[8])/24 + (125*d[9])/24 + (4*d[10])/3 + (17*d[11])/4 - 
       (4*d[12])/3 - (4*d[13])/3 + (11*d[14])/6 + (5*d[15])/3 + (9*d[16])/2 + 
       (4*d[17])/3 - (14*d[18])/3 + d[19] + (5*d[20])/2 - (5*d[22])/3 + 
       (4*d[23])/3 + (173*d[24])/24 - (2*d[26])/3 - d[27]/3 + d[31]/3 + 
       d[32]/6 - (7*d[33])/3 + 2*d[34] + d[35]/2 - 5*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     (2*d[3] - (4*d[4])/3 - d[6]/9 - d[7]/9 - d[8]/9 + d[9]/9 + 
       (43*d[10])/9 - (55*d[11])/18 - (31*d[12])/6 + (5*d[14])/3 + 
       (41*d[15])/9 + (11*d[17])/6 - (11*d[18])/6 - (41*d[19])/9 - 
       (5*d[20])/2 - (41*d[21])/9 - (41*d[22])/9 + (59*d[23])/18 + 
       (137*d[24])/18)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + (-2*d[3] - (2*d[6])/9 - (2*d[7])/9 - 
       (2*d[8])/9 + (2*d[9])/9 - (34*d[10])/9 + (85*d[11])/18 + (9*d[12])/2 - 
       (5*d[14])/6 - (38*d[15])/9 - (3*d[17])/2 + (7*d[18])/6 + 
       (29*d[19])/9 + (5*d[20])/3 + (38*d[21])/9 + (20*d[22])/9 - 
       (101*d[23])/18 - (131*d[24])/18)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + (2*d[1] - (10*d[3])/9 + (7*d[4])/3 - 
       (13*d[5])/18 - (43*d[6])/18 - (127*d[7])/72 + (133*d[8])/72 - 
       (13*d[9])/8 - (11*d[10])/9 - (185*d[11])/36 + (137*d[12])/18 + 
       (8*d[13])/9 - (7*d[14])/9 + d[15]/9 - (85*d[16])/18 + (11*d[17])/18 - 
       (89*d[18])/18 - (5*d[19])/18 + (73*d[20])/72 - (14*d[21])/9 - 
       (3*d[22])/2 - (155*d[23])/36 - 11*d[24] + (4*d[26])/9 + 
       (13*d[27])/18 - (7*d[31])/9 + (10*d[32])/9 + (20*d[33])/9 - 
       (22*d[34])/9 + d[35]/2 - (10*d[36])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     ((-14*d[6])/3 - (14*d[7])/3 - (14*d[8])/3 + (14*d[9])/3 + (23*d[10])/3 + 
       (5*d[11])/3 - 2*d[12] + (3*d[14])/2 - (17*d[15])/3 + d[17] - 
       11*d[18] + (14*d[19])/3 - 3*d[20] + (23*d[21])/3 + (17*d[22])/3 - 
       (10*d[23])/3 - (17*d[24])/6)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + ((14*d[6])/3 + (14*d[7])/3 + (14*d[8])/3 - 
       (14*d[9])/3 - (23*d[10])/3 - (5*d[11])/3 + 2*d[12] - (3*d[14])/2 + 
       (17*d[15])/3 - d[17] + 11*d[18] - (14*d[19])/3 + 3*d[20] - 
       (23*d[21])/3 - (17*d[22])/3 + (10*d[23])/3 + (17*d[24])/6)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((4*d[3])/3 - 4*d[4] + (5*d[5])/3 + (2*d[6])/3 - (35*d[7])/6 - 
       (103*d[8])/6 + (19*d[9])/2 - (16*d[10])/3 - (10*d[11])/3 - 
       (31*d[12])/3 - (2*d[13])/3 - (8*d[14])/3 - (16*d[15])/3 + 
       (29*d[16])/3 - (10*d[17])/3 - (20*d[18])/3 + (13*d[19])/3 + 
       (133*d[20])/12 + (26*d[21])/3 + 9*d[22] + d[23]/6 + (21*d[24])/4 - 
       (4*d[26])/3 + (4*d[27])/3 - (2*d[31])/3 - d[32]/3 - (14*d[33])/3 + 
       (16*d[34])/3 - 2*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + (-6*d[3] - 2*d[4] - d[5] + 2*d[7] - d[8] - 
       4*d[9] - 2*d[10] + d[11]/2 + d[16]/2 - 4*d[19] + d[21] - 4*d[22] - 
       d[24]/2 + d[32]/2 - 3*d[34])*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + ((-3*d[3])/2 - (11*d[4])/2 - d[7] + d[8] + 
       2*d[9] + d[10]/2 + (17*d[11])/2 + d[16] - 2*d[19] + 2*d[21] - 
       4*d[22] + 3*d[24] - d[27] - (5*d[32])/2 + 2*d[34])*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (2*d[3] - (2*d[6])/3 - (2*d[7])/3 - (2*d[8])/3 + (2*d[9])/3 - d[10]/3 + 
       (8*d[11])/3 + 2*d[12] + 2*d[14] - (2*d[15])/3 - 2*d[18] + 
       (2*d[19])/3 - 6*d[20] + (2*d[21])/3 + (2*d[22])/3 - (4*d[23])/3 + 
       (2*d[24])/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (-2*d[3] + d[4]/2 - (7*d[6])/18 + d[7]/9 - (7*d[8])/18 + (7*d[9])/18 + 
       d[10]/18 - (29*d[11])/18 - 2*d[12] - (7*d[14])/6 - (7*d[15])/18 - 
       (19*d[17])/12 + (5*d[18])/12 + (7*d[19])/18 + (101*d[20])/12 + 
       (7*d[21])/18 + (7*d[22])/18 + (35*d[23])/9 + (8*d[24])/9)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((19*d[6])/18 + (19*d[7])/18 + (19*d[8])/18 - (19*d[9])/18 - 
       (2*d[10])/9 - (19*d[11])/18 - (5*d[14])/6 + (19*d[15])/18 + 
       (19*d[17])/12 + (19*d[18])/12 - (19*d[19])/18 - (29*d[20])/12 - 
       (19*d[21])/18 - (19*d[22])/18 - (23*d[23])/9 - (14*d[24])/9)*
      HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u] + 
     ((17*d[6])/12 + (2*d[7])/3 + (2*d[8])/3 - (2*d[9])/3 + (4*d[10])/3 + 
       d[11]/3 + (3*d[12])/4 - 2*d[14] - d[15]/3 - (9*d[17])/4 + 2*d[18] + 
       (5*d[19])/6 - 2*d[20] - (5*d[21])/12 + (11*d[22])/6 - (19*d[23])/6 - 
       (35*d[24])/12)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + ((2*d[2])/3 + (8*d[3])/3 - (16*d[4])/3 + d[5] - 
       (7*d[6])/3 + (10*d[7])/3 - (26*d[8])/3 + (5*d[9])/3 - 13*d[10] + 
       d[11]/3 - (25*d[12])/3 - 4*d[13] + 4*d[14] - (13*d[15])/3 + 18*d[16] - 
       2*d[17] + (31*d[18])/3 - (5*d[19])/3 + (187*d[20])/12 + (16*d[21])/3 - 
       (5*d[22])/3 + (67*d[23])/6 + (157*d[24])/6 + (2*d[27])/3 - 2*d[31] - 
       d[32] - (4*d[33])/3 + (10*d[34])/3 - 6*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((19*d[3])/9 - (7*d[4])/2 + (59*d[5])/36 - (19*d[6])/36 - (53*d[7])/18 - 
       (65*d[8])/9 + (47*d[9])/12 - (77*d[10])/18 + (239*d[11])/36 - 
       (139*d[12])/36 - (17*d[13])/9 + (4*d[14])/9 - (163*d[15])/36 + 
       (181*d[16])/18 - (109*d[17])/36 - (293*d[18])/36 + (97*d[19])/36 - 
       (265*d[20])/288 + (221*d[21])/36 + (55*d[22])/12 - (145*d[23])/144 - 
       (119*d[24])/96 - (19*d[26])/36 + d[27]/9 - (19*d[31])/18 - 
       (7*d[32])/36 - (17*d[33])/9 + (53*d[34])/18 - (19*d[36])/6)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((83*d[3])/12 - 5*d[4] - (20*d[5])/3 - (31*d[6])/6 + (25*d[7])/12 - 
       (25*d[8])/12 + d[9]/4 + (23*d[10])/12 + 4*d[11] - (13*d[12])/12 - 
       (4*d[13])/3 - (13*d[14])/6 - (25*d[15])/2 + (16*d[16])/3 - 
       (53*d[17])/4 + (113*d[18])/12 + (17*d[19])/2 + (113*d[20])/12 + 
       (41*d[21])/3 + (29*d[22])/6 - 4*d[23] - (35*d[24])/4 + d[26]/3 - 
       (5*d[27])/6 - (10*d[31])/3 - (5*d[32])/3 + (8*d[33])/3 + (2*d[34])/3 - 
       10*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((2*d[2])/3 - (14*d[3])/3 + 8*d[4] + d[5]/2 + (2*d[6])/3 + 5*d[7] + 
       (35*d[8])/2 - (26*d[9])/3 + (23*d[10])/3 + (3*d[11])/2 + 
       (25*d[12])/6 - (7*d[13])/3 + (11*d[14])/2 + d[15] - 15*d[16] + 
       (17*d[17])/12 + (23*d[18])/12 + (7*d[19])/6 - (47*d[20])/12 + 
       (2*d[21])/3 - (17*d[22])/6 - (43*d[23])/6 - (455*d[24])/12 - 
       (2*d[26])/3 - (11*d[27])/6 - d[28]/3 + d[29]/3 - (4*d[30])/3 + 
       4*d[31] + 2*d[32] + 4*d[33] - 8*d[34] + 2*d[36])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((8*d[3])/3 - (19*d[4])/6 - d[5] - (7*d[6])/12 - (77*d[7])/24 - 
       (39*d[8])/8 + (65*d[9])/24 - d[10]/2 + (7*d[11])/6 + (37*d[12])/12 - 
       5*d[13] - d[14]/3 - (89*d[15])/12 + (37*d[16])/6 - (21*d[17])/4 + 
       (71*d[18])/12 + (16*d[19])/3 + (173*d[20])/96 + (95*d[21])/12 + 
       (19*d[22])/3 - (105*d[23])/16 - (715*d[24])/96 - d[26]/4 - 
       (4*d[31])/3 - (2*d[32])/3 - d[33] + (7*d[34])/3 - 4*d[36])*
      HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u] + 
     (2*d[3] + (8*d[6])/3 + (8*d[7])/3 + (8*d[8])/3 - (8*d[9])/3 - 
       (8*d[10])/3 + (34*d[11])/3 + 4*d[12] - (13*d[15])/3 + 2*d[17] - 
       14*d[18] + (7*d[19])/3 - 6*d[20] + (22*d[21])/3 + (13*d[22])/3 - 
       (2*d[23])/3 - (8*d[24])/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (-2*d[3] - (8*d[6])/3 - (8*d[7])/3 - 
       (8*d[8])/3 + (8*d[9])/3 + (8*d[10])/3 - (34*d[11])/3 - 4*d[12] + 
       (13*d[15])/3 - 2*d[17] + 14*d[18] - (7*d[19])/3 + 6*d[20] - 
       (22*d[21])/3 - (13*d[22])/3 + (2*d[23])/3 + (8*d[24])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     ((19*d[3])/6 - (13*d[4])/2 + (13*d[5])/3 - (13*d[6])/6 - (25*d[7])/6 - 
       (223*d[8])/12 + 14*d[9] - (26*d[10])/3 + (59*d[11])/6 - (8*d[12])/3 - 
       (16*d[13])/3 - (4*d[14])/3 - (133*d[15])/6 + (40*d[16])/3 - 
       (41*d[17])/3 - (17*d[18])/6 + (103*d[19])/6 + (451*d[20])/24 + 
       (103*d[21])/3 + 18*d[22] - (83*d[23])/12 - (163*d[24])/8 - 
       (5*d[26])/3 + (17*d[27])/12 - d[28]/2 - d[29]/4 - 2*d[30] - 
       (4*d[31])/3 - (7*d[32])/6 - (17*d[33])/6 + (14*d[34])/3 + d[35]/2 - 
       7*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (2*d[3] + (77*d[6])/9 + (77*d[7])/9 + (77*d[8])/9 - (77*d[9])/9 - 
       (20*d[10])/9 - (131*d[11])/9 - 11*d[12] - (19*d[14])/3 + 
       (23*d[15])/9 + (53*d[17])/6 + (29*d[18])/6 - (5*d[19])/9 + 
       (113*d[20])/6 + (4*d[21])/9 - (23*d[22])/9 + (13*d[23])/9 - 
       (289*d[24])/18)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (-2*d[3] - (77*d[6])/9 - (77*d[7])/9 - 
       (77*d[8])/9 + (77*d[9])/9 + (20*d[10])/9 + (131*d[11])/9 + 11*d[12] + 
       (19*d[14])/3 - (23*d[15])/9 - (53*d[17])/6 - (29*d[18])/6 + 
       (5*d[19])/9 - (113*d[20])/6 - (4*d[21])/9 + (23*d[22])/9 - 
       (13*d[23])/9 + (289*d[24])/18)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + ((-7*d[3])/9 + (4*d[4])/3 - (86*d[5])/9 - 
       (139*d[6])/18 - (437*d[7])/36 + (551*d[8])/36 - (53*d[9])/12 + 
       (130*d[10])/9 - (121*d[11])/18 + (220*d[12])/9 + (71*d[13])/9 - 
       (22*d[14])/9 + (53*d[15])/18 - (523*d[16])/18 + (77*d[17])/18 - 
       (11*d[18])/18 + (14*d[19])/9 - (1435*d[20])/144 - (223*d[21])/18 - 
       4*d[22] - (619*d[23])/72 - (1241*d[24])/48 + (65*d[26])/18 + 
       (29*d[27])/9 + d[29]/6 - (22*d[31])/9 - (11*d[32])/9 + (56*d[33])/9 - 
       (31*d[34])/9 + (14*d[36])/3)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (-d[3] + (10*d[6])/3 + (10*d[7])/3 + 
       (10*d[8])/3 - (10*d[9])/3 - (23*d[10])/3 - (3*d[11])/2 + (8*d[12])/3 + 
       (19*d[14])/3 - d[15]/3 - (14*d[17])/3 + (17*d[18])/2 + (4*d[19])/3 - 
       (3*d[20])/2 - (7*d[21])/6 + (10*d[22])/3 - 4*d[23] - (65*d[24])/6)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((10*d[3])/3 + (2*d[4])/3 - d[5] + d[6]/3 - d[8]/3 + d[9]/3 + 
       (19*d[10])/3 - (11*d[12])/3 - (25*d[14])/3 + (10*d[15])/3 + 
       (4*d[16])/3 + (3*d[17])/2 - (31*d[18])/6 - (11*d[19])/3 + 
       (13*d[20])/12 - 2*d[21] - (17*d[22])/3 + (15*d[23])/2 + 
       (157*d[24])/12 - d[27])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + (-d[1] - (11*d[3])/6 + (37*d[4])/6 + 
       (20*d[5])/3 + 9*d[7] + (11*d[8])/6 - (7*d[9])/3 - (5*d[10])/6 + 
       (23*d[11])/2 - (35*d[12])/3 - (32*d[13])/3 + (29*d[14])/3 - 
       (50*d[15])/3 + 22*d[16] - (35*d[17])/6 + (26*d[18])/3 + (27*d[19])/2 + 
       (13*d[20])/16 + 21*d[21] + (41*d[22])/3 + (103*d[23])/24 - 
       (253*d[24])/48 - (7*d[26])/3 - (25*d[27])/6 + d[29]/4 + (5*d[31])/3 + 
       (11*d[32])/6 - (25*d[33])/6 + d[35] - 7*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (-4*d[3] + 4*d[4] + 10*d[5] - 4*d[6] - 2*d[7] + 18*d[8] - 18*d[9] + 
       6*d[10] - d[11] + 12*d[15] - 5*d[16] - 16*d[17] + 40*d[18] - 
       10*d[19] - 12*d[21] - 10*d[22] - 27*d[24] + 2*d[29] + 4*d[31] + 
       2*d[32] - 4*d[34] + 2*d[35])*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (2*d[3] - 4*d[4] - 2*d[6] - 2*d[7] - 2*d[8] + 
       2*d[9] - 19*d[11] - 6*d[14] - 8*d[15] - 2*d[17] + 2*d[18] + 8*d[19] + 
       (17*d[20])/2 + 8*d[21] + 8*d[22] - 3*d[23] - (15*d[24])/2 - 2*d[31] - 
       d[32] + 2*d[34] - 2*d[35])*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (d[3] - 2*d[4] - d[5] - d[7] - 2*d[8] - 
       9*d[10] - 16*d[12] - 3*d[14] - 10*d[15] - 2*d[17] + 2*d[18] + 
       12*d[19] + 8*d[20] + 17*d[21] + 18*d[22] - 2*d[23] - 12*d[24] + d[27])*
      HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (-2*d[4] + d[5] - 2*d[6] - 3*d[7] - 3*d[8] + 2*d[9] + (27*d[11])/2 - 
       d[15] - 2*d[16] + (9*d[17])/2 - (31*d[18])/2 - d[19] - (5*d[20])/2 + 
       12*d[21] - 2*d[22] + 3*d[23] + (21*d[24])/2 + 2*d[27])*
      HPL[{0, 1, 1}, 1 - u]^2 + (d[3]/3 - (7*d[6])/9 - (7*d[7])/9 - 
       (7*d[8])/9 + (7*d[9])/9 + (29*d[10])/18 + (55*d[11])/36 + 
       (3*d[12])/4 - (5*d[14])/6 - (7*d[15])/9 + (5*d[17])/6 - (19*d[18])/6 + 
       (7*d[19])/9 - (2*d[20])/3 + (7*d[21])/9 + (7*d[22])/9 + d[23]/36 + 
       (7*d[24])/9)*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - v] + 
     (-d[3] + (7*d[6])/9 + (7*d[7])/9 + (7*d[8])/9 - (7*d[9])/9 + 
       (7*d[10])/18 - (127*d[11])/36 - (11*d[12])/4 - (7*d[14])/6 + 
       (7*d[15])/9 - (5*d[17])/6 + (19*d[18])/6 - (7*d[19])/9 + 
       (20*d[20])/3 - (7*d[21])/9 - (7*d[22])/9 + (71*d[23])/36 - 
       (7*d[24])/9)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (-2*d[10] + 2*d[11] + 2*d[12] + 2*d[14] - (37*d[20])/4 - (7*d[23])/2 - 
       d[24]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v] + 
     ((13*d[20])/4 + (3*d[23])/2 + d[24]/2)*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - v] + ((2*d[3])/9 - (4*d[4])/3 - (17*d[5])/9 + 
       (97*d[6])/36 - (173*d[7])/144 - (601*d[8])/144 + (55*d[9])/48 - 
       (55*d[10])/18 - (313*d[11])/72 + (23*d[12])/18 + d[13]/18 - 
       (29*d[14])/18 + (109*d[15])/36 - (11*d[16])/36 + (247*d[17])/36 - 
       (115*d[18])/36 - (31*d[19])/9 + (3169*d[20])/288 - (29*d[21])/36 - 
       (19*d[22])/6 + (193*d[23])/144 + (183*d[24])/32 - (7*d[26])/18 + 
       (41*d[27])/36 - (7*d[31])/9 - (7*d[32])/18 + d[33]/18 + 
       (13*d[34])/18 - (7*d[36])/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + ((-2*d[2])/3 + 2*d[3] - (20*d[4])/3 - 
       (17*d[5])/3 - (5*d[6])/3 + d[7]/6 + (49*d[8])/6 - (21*d[9])/2 + 
       (10*d[10])/3 + 9*d[11] + (20*d[12])/3 + (2*d[13])/3 - (4*d[14])/3 - 
       d[15] - 14*d[16] - (23*d[17])/3 + (2*d[18])/3 + d[19] - (46*d[20])/3 + 
       (19*d[21])/3 - 3*d[22] - d[23]/6 - (85*d[24])/12 + 2*d[27] - 
       (4*d[31])/3 - (4*d[32])/3 + 4*d[33] - (8*d[34])/3 - 4*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (d[3] - (3*d[7])/4 - (3*d[8])/4 + (3*d[9])/4 + (11*d[10])/4 - 6*d[11] - 
       6*d[12] - 2*d[14] + 3*d[17] + d[18] + (51*d[20])/4 + (19*d[23])/4 - 
       d[24])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (-d[2]/3 + d[3]/3 + 3*d[4] + (19*d[5])/3 - (5*d[6])/18 + (53*d[7])/9 + 
       (41*d[8])/9 + (64*d[9])/9 + (23*d[10])/18 + (145*d[11])/36 + 
       (29*d[12])/12 - 5*d[13] + (11*d[14])/6 + (43*d[15])/18 + 
       (26*d[16])/3 - 3*d[17] + (29*d[18])/6 - (26*d[19])/9 - (17*d[20])/2 - 
       (137*d[21])/9 + d[22]/9 + (13*d[23])/9 + (208*d[24])/9 + d[25]/6 + 
       (3*d[26])/2 - (8*d[27])/3 - d[28]/3 - d[31] + d[32]/3 - (8*d[33])/3 + 
       (11*d[34])/3 + 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v] + (7*d[3] - (23*d[4])/4 - d[5]/2 + (16*d[6])/9 + 
       (257*d[7])/18 - (139*d[8])/18 + (11*d[9])/9 - (131*d[10])/18 + 
       (233*d[11])/36 - 8*d[12] - d[13] + (7*d[14])/6 + (59*d[15])/18 + 
       24*d[16] - (11*d[17])/2 + (35*d[18])/3 - (88*d[19])/9 + (73*d[20])/6 + 
       (2*d[21])/9 - (97*d[22])/9 + (89*d[23])/9 + (1421*d[24])/36 - d[26] - 
       (5*d[27])/2 + d[28]/2 - 2*d[31] - d[32] + d[33] + d[34] - 12*d[36])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     (-d[2]/2 + (43*d[3])/18 - (11*d[4])/3 + d[5]/36 + (28*d[6])/9 + 
       (49*d[7])/144 - (715*d[8])/144 - (5*d[9])/16 - (20*d[10])/9 + 
       (179*d[11])/72 - (79*d[12])/18 - d[13]/9 + (13*d[14])/18 - 
       (257*d[15])/36 + (361*d[16])/36 + (31*d[17])/36 + (11*d[18])/36 + 
       (161*d[19])/36 + (2749*d[20])/288 + (385*d[21])/36 + (19*d[22])/4 - 
       (647*d[23])/144 - (177*d[24])/32 - (29*d[26])/36 - d[27]/36 - 
       (7*d[31])/9 - (7*d[32])/18 - (7*d[33])/9 + (14*d[34])/9 - 
       (29*d[36])/6)*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v] + 
     ((58*d[6])/9 + (58*d[7])/9 + (58*d[8])/9 - (58*d[9])/9 - (34*d[10])/9 + 
       (37*d[11])/18 + (17*d[12])/2 + (13*d[14])/3 + (22*d[15])/9 + 
       (11*d[17])/3 + (11*d[18])/3 - (22*d[19])/9 - (41*d[20])/6 - 
       (22*d[21])/9 - (22*d[22])/9 - (179*d[23])/18 - (251*d[24])/18)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     ((-58*d[6])/9 - (58*d[7])/9 - (58*d[8])/9 + (58*d[9])/9 + (34*d[10])/9 - 
       (37*d[11])/18 - (17*d[12])/2 - (13*d[14])/3 - (22*d[15])/9 - 
       (11*d[17])/3 - (11*d[18])/3 + (22*d[19])/9 + (41*d[20])/6 + 
       (22*d[21])/9 + (22*d[22])/9 + (179*d[23])/18 + (251*d[24])/18)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     ((-8*d[3])/9 - (2*d[4])/3 + (13*d[5])/18 + (151*d[6])/18 + 
       (949*d[7])/72 + (737*d[8])/72 - (427*d[9])/24 + (41*d[10])/9 + 
       (395*d[11])/36 - (5*d[12])/18 + (16*d[13])/9 + (43*d[14])/9 + 
       (85*d[15])/18 - (52*d[16])/9 + (97*d[17])/18 + (65*d[18])/18 - 
       (127*d[19])/18 + (151*d[20])/144 + (61*d[21])/18 - (77*d[22])/6 + 
       (631*d[23])/72 + (35*d[24])/48 - (4*d[26])/9 + (29*d[27])/18 + 
       (2*d[28])/3 - d[29]/3 + (8*d[30])/3 + (13*d[31])/9 + (13*d[32])/18 + 
       (52*d[33])/9 - (65*d[34])/9 - (5*d[36])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     ((8*d[6])/3 + (8*d[7])/3 + (8*d[8])/3 - (8*d[9])/3 + (46*d[10])/3 + 
       (10*d[11])/3 + 6*d[12] + 2*d[14] + (8*d[15])/3 + 6*d[17] - 18*d[18] - 
       (8*d[19])/3 - 16*d[20] - (8*d[21])/3 - (8*d[22])/3 - (11*d[23])/3 - 
       (8*d[24])/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + ((-8*d[6])/3 - (8*d[7])/3 - (8*d[8])/3 + 
       (8*d[9])/3 - (46*d[10])/3 - (10*d[11])/3 - 6*d[12] - 2*d[14] - 
       (8*d[15])/3 - 6*d[17] + 18*d[18] + (8*d[19])/3 + 16*d[20] + 
       (8*d[21])/3 + (8*d[22])/3 + (11*d[23])/3 + (8*d[24])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     ((19*d[3])/6 - (13*d[4])/2 + (41*d[5])/6 + (91*d[6])/12 + (25*d[7])/12 - 
       (223*d[8])/12 + (53*d[9])/4 - (35*d[10])/3 + (103*d[11])/12 - 
       (56*d[12])/3 + (49*d[13])/6 + (17*d[14])/3 - (35*d[15])/12 + 
       (97*d[16])/3 - (41*d[17])/12 - (103*d[18])/12 - (11*d[19])/6 + 
       (55*d[20])/24 + (28*d[21])/3 + (7*d[22])/2 + (19*d[23])/12 + 
       (155*d[24])/8 - (23*d[26])/12 + (2*d[27])/3 + (3*d[28])/2 + d[29]/2 - 
       6*d[30] - (5*d[31])/6 - (5*d[32])/12 - (16*d[33])/3 + (37*d[34])/6 + 
       d[35]/2 - 7*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + ((4*d[4])/3 - (2*d[5])/3 + (22*d[6])/9 + 
       (22*d[7])/9 + (22*d[8])/9 - (16*d[9])/9 - (40*d[10])/9 - 
       (215*d[11])/18 - (35*d[12])/6 - 5*d[14] - (14*d[15])/9 + (4*d[16])/3 + 
       (29*d[17])/3 - d[18] + (20*d[19])/9 + (155*d[20])/12 - (10*d[21])/9 + 
       (44*d[22])/9 - (46*d[23])/9 - (607*d[24])/36 - (4*d[27])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((-49*d[6])/9 - (49*d[7])/9 - (49*d[8])/9 + (49*d[9])/9 + 
       (89*d[10])/18 + (125*d[11])/18 + (7*d[12])/2 + (22*d[14])/3 + 
       (5*d[15])/9 - (17*d[17])/2 - (5*d[18])/3 - (5*d[19])/9 - 
       (55*d[20])/6 - (5*d[21])/9 - (5*d[22])/9 + (77*d[23])/18 + 
       (233*d[24])/18)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + ((7*d[3])/9 + (11*d[4])/3 - (4*d[5])/9 - 
       (23*d[6])/18 + (583*d[7])/72 + (923*d[8])/72 - (15*d[9])/8 + 
       (163*d[10])/18 - (235*d[11])/36 + (175*d[12])/18 + (133*d[13])/9 + 
       (85*d[14])/9 + (155*d[15])/9 + (23*d[16])/9 + (175*d[17])/18 + 
       (29*d[18])/18 - (149*d[19])/9 - (4613*d[20])/144 - (551*d[21])/18 - 
       18*d[22] - (125*d[23])/72 + (425*d[24])/16 + (26*d[26])/9 - 
       (73*d[27])/18 + (3*d[28])/2 + d[29]/2 - 6*d[30] - (5*d[31])/9 + 
       (2*d[32])/9 + (13*d[33])/9 - (8*d[34])/9 + d[35] - (2*d[36])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (-2*d[5] + 2*d[6] + 6*d[7] + d[8] - 2*d[10] - 9*d[16] + d[17] - d[18] - 
       2*d[19] - 2*d[22] - 11*d[24] - d[27] - 2*d[29] - 2*d[35])*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (-4*d[3] + 4*d[4] + 10*d[5] + 4*d[6] + 6*d[7] + 2*d[8] + 12*d[9] + 
       14*d[10] + 24*d[11] + 6*d[14] + 8*d[15] - 6*d[16] + 18*d[17] - 
       42*d[18] - 6*d[19] - (17*d[20])/2 - 8*d[21] - 6*d[22] + 3*d[23] + 
       (19*d[24])/2 + 3*d[32] - 4*d[34] + 2*d[35])*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + (6*d[3] - 6*d[4] + d[5] + d[7] + 2*d[8] + 
       5*d[10] + 4*d[11] - 8*d[12] + 3*d[14] + 10*d[15] + 2*d[17] - 2*d[18] - 
       6*d[19] - 8*d[20] - d[21] - 2*d[22] + 14*d[23] + 12*d[24] - d[27])*
      HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (6*d[3] + 4*d[4] - 9*d[5] - 10*d[7] - 12*d[8] - 10*d[9] + 4*d[10] - 
       17*d[11] + 4*d[15] - 6*d[16] + 5*d[17] - 5*d[18] - d[19] + 2*d[21] - 
       d[22] + 19*d[24] + 3*d[27] + 10*d[31] - 5*d[32] - 10*d[34])*
      HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (-2*d[4] + 2*d[6] - d[8] - 2*d[9] - 15*d[10] + 3*d[11] - (9*d[15])/2 - 
       2*d[16] - (9*d[17])/2 + (31*d[18])/2 + 5*d[19] + (5*d[20])/2 + 
       9*d[21] + 5*d[22] - 3*d[23] - (11*d[24])/2 + 3*d[27])*
      HPL[{0, 1, 1}, 1 - v]^2 + ((5*d[6])/12 - (4*d[7])/3 - (4*d[8])/3 + 
       (4*d[9])/3 + d[10]/2 + (35*d[11])/12 + (11*d[12])/4 + (5*d[14])/6 - 
       (5*d[15])/6 - (13*d[17])/12 - (9*d[18])/4 + (2*d[19])/3 - 4*d[20] + 
       d[21]/6 + (4*d[22])/3 - (23*d[23])/12 + (4*d[24])/3)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1, 1}, 1 - w] + (2*d[6] + (13*d[7])/3 + (13*d[8])/3 - 
       (11*d[9])/3 - (9*d[10])/2 - (19*d[11])/4 - (19*d[12])/4 - 
       (5*d[14])/6 + (11*d[15])/2 + d[16]/3 + (19*d[17])/12 + (95*d[18])/12 - 
       (31*d[19])/6 + (28*d[20])/3 - (29*d[21])/6 - (35*d[22])/6 + 
       (41*d[23])/12 + d[24]/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + (-d[3]/3 - (73*d[6])/18 - (31*d[7])/18 - 
       (31*d[8])/18 + (31*d[9])/18 + (109*d[10])/18 + (149*d[11])/36 + 
       (25*d[12])/12 - (11*d[14])/6 - (50*d[15])/9 - (19*d[17])/12 - 
       (85*d[18])/12 + (97*d[19])/18 - (127*d[20])/12 + (97*d[21])/18 + 
       (97*d[22])/18 - (53*d[23])/18 - (65*d[24])/18 + d[32]/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w] + 
     ((19*d[6])/18 - (25*d[7])/36 - (25*d[8])/36 + (25*d[9])/36 - 
       (13*d[10])/18 - (65*d[11])/36 - (3*d[12])/4 + (4*d[14])/3 + 
       (19*d[15])/18 + (3*d[17])/4 + (19*d[18])/12 - (19*d[19])/18 + 
       (35*d[20])/6 - (19*d[21])/18 - (19*d[22])/18 + (16*d[23])/9 + 
       (17*d[24])/18)*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w] + 
     (d[3] - (11*d[4])/6 + (7*d[5])/12 + d[6]/3 - (161*d[7])/48 - 
       (509*d[8])/48 + (91*d[9])/16 - (17*d[10])/6 + (17*d[11])/8 - 5*d[12] - 
       (4*d[13])/3 + d[14]/2 - (37*d[15])/12 + (31*d[16])/6 - 
       (107*d[17])/12 - 4*d[18] + (23*d[19])/12 + (145*d[20])/12 + 
       (13*d[21])/2 + (9*d[22])/4 - (10*d[23])/3 - (149*d[24])/16 - 
       (5*d[26])/12 + (2*d[27])/3 - d[31]/2 - d[32]/4 - (4*d[33])/3 + 
       (11*d[34])/6 - (3*d[36])/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + (2*d[3] + (2*d[4])/3 - (2*d[5])/3 - 
       (7*d[6])/3 + (23*d[7])/3 + 13*d[8] - 8*d[9] - (16*d[10])/3 + 
       (7*d[11])/3 - d[12]/3 - (4*d[13])/3 - (10*d[14])/3 - 4*d[15] + 
       d[16]/3 + 6*d[17] + (5*d[18])/3 + (11*d[19])/3 - (45*d[20])/4 + 
       (13*d[21])/3 + d[22] + d[23] + (5*d[24])/2 + d[26]/3 - (7*d[27])/3 - 
       d[28]/3 + (4*d[30])/3 + (2*d[31])/3 + d[32]/3 + 2*d[33] - (8*d[34])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((55*d[3])/36 - (7*d[4])/3 + (5*d[5])/9 + (77*d[6])/36 - 
       (133*d[7])/144 - (1469*d[8])/144 + (403*d[9])/48 - (29*d[10])/18 - 
       (131*d[11])/72 - (55*d[12])/36 + (7*d[13])/9 + (53*d[14])/18 + 
       (23*d[15])/36 + (55*d[16])/18 - (73*d[17])/36 - (113*d[18])/36 - 
       (13*d[19])/18 + (751*d[20])/144 - (23*d[21])/18 + (11*d[22])/6 - 
       (191*d[23])/72 + (61*d[24])/12 - d[26]/9 + (25*d[27])/36 + d[28]/4 - 
       d[30] - (19*d[31])/18 - (19*d[32])/36 - (14*d[33])/9 + (47*d[34])/18 - 
       (2*d[36])/3)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((11*d[2])/6 + (8*d[3])/3 - 4*d[4] - (8*d[5])/3 - (5*d[6])/3 + d[7]/3 - 
       (17*d[8])/6 - 5*d[9] - d[10]/6 + (29*d[11])/6 - (49*d[12])/6 - 
       (7*d[13])/3 - (5*d[14])/6 + (10*d[15])/3 + (17*d[16])/6 - 
       (23*d[17])/3 + (5*d[18])/3 - (35*d[19])/6 - (79*d[20])/12 + 
       (7*d[21])/3 - (15*d[22])/2 + (47*d[23])/6 + (25*d[24])/4 - 
       (2*d[26])/3 + (7*d[27])/6 - (4*d[31])/3 - (2*d[32])/3 + (5*d[33])/3 - 
       d[34]/3 - 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w] + ((-11*d[2])/6 + (10*d[3])/3 - 4*d[4] - 
       (13*d[5])/3 + (2*d[6])/3 + (7*d[7])/6 - (13*d[8])/6 + d[9]/2 + 
       (13*d[10])/6 - (17*d[11])/6 + (13*d[12])/6 - (2*d[13])/3 + d[14]/3 + 
       (7*d[15])/6 - (7*d[16])/3 + (13*d[17])/6 + (5*d[18])/6 - 
       (13*d[19])/6 + (163*d[20])/12 - (7*d[21])/3 - (5*d[22])/2 + 
       (19*d[23])/6 + (77*d[24])/4 + (2*d[26])/3 + (4*d[27])/3 - 
       (8*d[31])/3 - (4*d[32])/3 + (4*d[33])/3 + (4*d[34])/3 - 2*d[36])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w] + 
     ((11*d[6])/3 + (14*d[7])/3 + (25*d[8])/6 - (25*d[9])/6 - (4*d[10])/3 - 
       (17*d[11])/2 - (31*d[12])/6 + 4*d[13] - (22*d[14])/3 - (8*d[15])/3 + 
       4*d[16] + (5*d[17])/3 + (17*d[18])/2 + (8*d[19])/3 + (75*d[20])/4 + 
       (8*d[21])/3 + (8*d[22])/3 - 3*d[23] - (161*d[24])/12 + d[28]/2 + 
       d[29]/2 + 2*d[30] + d[35])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w] + ((4*d[3])/3 - 2*d[4] - 2*d[5] - (13*d[6])/3 - 
       6*d[7] - (19*d[8])/3 + 2*d[9] + (8*d[10])/3 + (53*d[11])/6 + 
       (29*d[12])/6 - (16*d[13])/3 + 9*d[14] + d[15] - 7*d[16] - 
       (13*d[17])/6 - (55*d[18])/6 - (5*d[19])/3 - (56*d[20])/3 + 
       (5*d[21])/3 - (7*d[22])/3 + (5*d[23])/2 + (64*d[24])/3 - d[26]/3 + 
       d[27] - (2*d[28])/3 - (2*d[29])/3 - (8*d[30])/3 + (2*d[33])/3 - 
       (2*d[34])/3 - (2*d[35])/3 - 4*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (-3*d[2] + d[3]/3 + (10*d[4])/3 - (35*d[5])/3 + (11*d[6])/2 - 
       (25*d[7])/8 + (493*d[8])/24 - (229*d[9])/24 + (101*d[10])/6 - 
       (41*d[11])/4 + (32*d[12])/3 + (20*d[13])/3 - (17*d[14])/3 + 
       (61*d[15])/6 - 55*d[16] + (10*d[17])/3 - (13*d[18])/6 - 5*d[19] - 
       (29*d[20])/8 - 11*d[21] - (38*d[22])/3 - (131*d[23])/12 - 
       (241*d[24])/6 + (4*d[26])/3 + (5*d[27])/3 - d[29] - (5*d[31])/3 - 
       (5*d[32])/6 + (23*d[33])/3 - 6*d[34] + 4*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (2*d[3] - (8*d[4])/3 + (2*d[5])/3 + (35*d[6])/9 + (17*d[7])/9 + 
       (14*d[8])/9 - (17*d[9])/9 - (89*d[10])/9 + (65*d[11])/18 + 
       (59*d[12])/6 - 2*d[13] + (17*d[14])/3 + (41*d[15])/9 - d[16]/3 + 
       d[17]/2 + (31*d[18])/6 - (53*d[19])/9 - (65*d[20])/4 - (35*d[21])/9 - 
       (53*d[22])/9 - (83*d[23])/9 - (221*d[24])/36 + d[27]/3 - d[29]/3 + 
       (8*d[30])/3 + (2*d[34])/3 - (2*d[35])/3 - 4*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((-32*d[6])/9 - (5*d[7])/9 - (55*d[8])/18 + (37*d[9])/18 + 
       (68*d[10])/9 - (53*d[11])/18 - (17*d[12])/2 + 7*d[13] - (16*d[14])/3 - 
       (50*d[15])/9 + 7*d[16] - (23*d[18])/6 + (50*d[19])/9 + (56*d[20])/3 + 
       (50*d[21])/9 + (50*d[22])/9 + (175*d[23])/18 + (127*d[24])/18 + 
       d[28]/2 + d[29]/2 - 2*d[30] + d[35])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (3*d[2] + (2*d[3])/9 + (4*d[4])/3 + (125*d[5])/18 + (5*d[6])/18 + 
       (713*d[7])/72 - (1211*d[8])/72 + (143*d[9])/8 - (122*d[10])/9 + 
       (631*d[11])/36 - (49*d[12])/18 - (25*d[13])/9 + (95*d[14])/9 - 
       (29*d[15])/9 + (373*d[16])/9 - (38*d[17])/9 - (10*d[18])/9 - 
       (71*d[19])/18 - (127*d[20])/36 - (26*d[21])/9 - (3*d[22])/2 + 
       (11*d[23])/18 + (253*d[24])/8 + d[26]/9 - (40*d[27])/9 + d[28]/2 - 
       2*d[30] + (5*d[31])/9 + (23*d[32])/18 - (22*d[33])/9 + (17*d[34])/9 - 
       (7*d[36])/3)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + ((-23*d[6])/6 - (17*d[7])/6 - (13*d[8])/3 + 
       (16*d[9])/3 - (2*d[10])/3 + (10*d[11])/3 + 4*d[12] - 7*d[13] + 
       2*d[14] - (16*d[15])/3 - 7*d[16] - d[17]/2 - 8*d[18] + (16*d[19])/3 - 
       (33*d[20])/4 + (16*d[21])/3 + (16*d[22])/3 - (43*d[23])/6 - 
       (35*d[24])/12 - d[28]/2 - d[29]/2 + 2*d[30])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((23*d[6])/6 + (17*d[7])/6 + (13*d[8])/3 - (16*d[9])/3 + (2*d[10])/3 - 
       (10*d[11])/3 - 4*d[12] + 7*d[13] - 2*d[14] - (20*d[15])/3 + 7*d[16] + 
       d[17]/2 + 8*d[18] + (20*d[19])/3 + (63*d[20])/4 + (20*d[21])/3 + 
       (20*d[22])/3 - (11*d[23])/6 - (235*d[24])/12 + d[28]/2 + d[29]/2 - 
       2*d[30])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((-4*d[3])/3 - 2*d[4] + (29*d[5])/6 + (4*d[6])/3 - (77*d[7])/12 - 
       (253*d[8])/12 + (57*d[9])/4 - (26*d[10])/3 - (11*d[11])/3 - 
       (97*d[12])/6 - d[13]/3 - (4*d[14])/3 - (23*d[15])/3 + (77*d[16])/6 - 
       (11*d[17])/3 - (28*d[18])/3 + (37*d[19])/6 + (331*d[20])/24 + 
       (37*d[21])/3 + (25*d[22])/2 + (31*d[23])/12 + (75*d[24])/8 - 
       (5*d[26])/3 + (5*d[27])/3 - d[31]/3 - d[32]/6 - (19*d[33])/3 + 
       (20*d[34])/3 + 5*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((-15*d[5])/2 - d[6] + (3*d[7])/2 - 
       (3*d[8])/2 - d[9] - d[10] + (3*d[11])/2 + 10*d[16] + d[17]/2 - 
       d[18]/2 - d[19]/2 + d[21] - (3*d[22])/2 + 11*d[24] - d[25]/2 + d[29] + 
       d[33] - d[34] + d[35])*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (d[3] - d[4] - 5*d[5] - d[6] + d[7] + d[8] - d[9] - d[10]/2 + 2*d[11] + 
       d[15]/2 + 6*d[16] - d[17]/2 + (3*d[18])/2 - d[19] + d[21] - d[22] + 
       10*d[24] - d[25] + d[29]/2 - d[31] - d[32]/2 + d[34] + d[35])*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (4*d[3] - 21*d[4] + (25*d[5])/2 - 8*d[6] - 3*d[7] + (19*d[8])/2 - 
       (3*d[9])/2 + (21*d[10])/2 + 20*d[11] + 3*d[12] - 14*d[13] + 5*d[15] - 
       2*d[16] - (19*d[17])/2 + (35*d[18])/2 - (11*d[19])/2 - 21*d[20] - 
       2*d[21] - (5*d[22])/2 + 4*d[23] - 6*d[24] + d[26] - (17*d[27])/2 - 
       d[28] - d[29]/2 - 4*d[30] + d[32] - 3*d[33] + 4*d[34] - 2*d[35] + 
       12*d[36])*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((-15*d[3])/2 - (15*d[4])/2 - (3*d[5])/2 + 12*d[6] + (3*d[7])/2 + 
       (27*d[8])/2 - 11*d[9] - d[10] - (7*d[11])/2 - 3*d[12] - 16*d[13] - 
       8*d[14] - (49*d[16])/2 + 15*d[17] - 22*d[18] - d[19]/2 + 
       (11*d[20])/2 + 11*d[21] - d[22]/2 - 5*d[23] - (43*d[24])/2 - d[26] + 
       2*d[27] - 2*d[28] - d[29] + 4*d[30] + d[31] - (9*d[32])/2 - d[34] - 
       2*d[35] + 12*d[36])*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((-8*d[6])/3 - (8*d[7])/3 - (8*d[8])/3 + (8*d[9])/3 + (8*d[10])/3 + 
       (14*d[11])/3 + 4*d[12] - (2*d[15])/3 - 2*d[17] - 4*d[18] + 
       (2*d[19])/3 - 4*d[20] + (2*d[21])/3 + (2*d[22])/3 - (4*d[23])/3 + 
       (8*d[24])/3)*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - u] + 
     (4*d[3] + 2*d[6] - 2*d[7] + 2*d[8] - 2*d[9] + 4*d[10] - 2*d[11] - 
       2*d[12] + 2*d[14] + 4*d[18] - 2*d[20] - 2*d[24])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((2*d[6])/3 + (8*d[7])/3 + (2*d[8])/3 - (2*d[9])/3 - (8*d[10])/3 - 
       (8*d[11])/3 - 2*d[12] - 2*d[14] + (2*d[15])/3 + 2*d[17] - 
       (2*d[19])/3 + 6*d[20] - (2*d[21])/3 - (2*d[22])/3 + (4*d[23])/3 - 
       (2*d[24])/3)*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-4*d[2] + (4*d[3])/3 - 2*d[4] - (7*d[5])/3 + (10*d[6])/3 - (7*d[7])/6 - 
       (23*d[8])/2 + (5*d[9])/6 - 2*d[11] - (25*d[12])/3 - (2*d[13])/3 - 
       (14*d[14])/3 - (14*d[15])/3 + (11*d[16])/3 - (4*d[17])/3 - 
       (26*d[18])/3 + (11*d[19])/3 + (157*d[20])/12 + 12*d[21] + 
       (13*d[22])/3 - d[23]/2 + (55*d[24])/12 - (4*d[26])/3 + (7*d[27])/3 - 
       (2*d[31])/3 - d[32]/3 - (2*d[33])/3 + (4*d[34])/3 - 2*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((14*d[2])/3 + (4*d[3])/3 - 2*d[4] + (7*d[5])/3 - 3*d[6] - d[7]/2 - 
       (43*d[8])/6 + (53*d[9])/6 - (22*d[10])/3 + 4*d[11] - (19*d[12])/3 - 
       2*d[13] + (10*d[14])/3 - 4*d[15] + (28*d[16])/3 - (16*d[17])/3 + 
       (10*d[18])/3 + 2*d[19] + (55*d[20])/12 + (10*d[21])/3 + (14*d[22])/3 + 
       (23*d[23])/6 + (15*d[24])/4 - d[26]/3 - (2*d[27])/3 - (2*d[31])/3 - 
       d[32]/3 - (8*d[33])/3 + (10*d[34])/3 - 2*d[36])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-3*d[2] + (8*d[3])/3 - 2*d[4] - (19*d[5])/6 - (5*d[6])/3 + (4*d[7])/3 + 
       (17*d[8])/3 - 2*d[9] + (16*d[10])/3 - (5*d[11])/3 - (2*d[12])/3 - 
       d[13]/3 - (4*d[14])/3 - (2*d[15])/3 - (11*d[16])/3 - (8*d[17])/3 + 
       (20*d[18])/3 - d[19]/3 + (7*d[20])/6 - (2*d[21])/3 - d[22] + 
       (7*d[23])/3 + (9*d[24])/2 + d[26]/3 - d[27]/3 - (4*d[31])/3 - 
       (2*d[32])/3 + (2*d[33])/3 + (2*d[34])/3 - 4*d[36])*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - u] + (-8*d[16] - 16*d[24])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u] + (4*d[7] - 8*d[10] + 8*d[16] + 16*d[24])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (d[5]/2 + (7*d[8])/2 + (5*d[9])/2 + d[10]/2 + 3*d[11] - 4*d[16] + 
       d[19] + d[22] - (23*d[24])/2 + (3*d[27])/2)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u] + (2*d[10] - 2*d[14] + 2*d[20])*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - v] + 
     (4*d[4] - (8*d[6])/3 - (8*d[7])/3 - (8*d[8])/3 + (8*d[9])/3 - 
       (4*d[10])/3 + (8*d[11])/3 + 2*d[14] - (8*d[15])/3 - 2*d[17] - 
       4*d[18] + (8*d[19])/3 - 6*d[20] + (8*d[21])/3 + (8*d[22])/3 + 
       (2*d[23])/3 + (8*d[24])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v] + (2*d[3] + (8*d[6])/3 + (14*d[7])/3 + 
       (8*d[8])/3 - (8*d[9])/3 - (2*d[10])/3 - (8*d[11])/3 + (8*d[15])/3 + 
       2*d[17] + 4*d[18] - (8*d[19])/3 + 4*d[20] - (8*d[21])/3 - 
       (8*d[22])/3 - (2*d[23])/3 - (8*d[24])/3)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - v] + ((-2*d[2])/3 - (2*d[4])/3 - 4*d[5] - 
       (2*d[6])/3 + 3*d[8] - 4*d[9] + 4*d[10] + d[11] + (10*d[12])/3 + 
       2*d[13] - (5*d[14])/3 - (2*d[15])/3 - 11*d[16] - (8*d[17])/3 + 
       (4*d[18])/3 + (11*d[19])/3 - (7*d[20])/3 + (8*d[21])/3 + 
       (11*d[22])/3 + (8*d[23])/3 - (17*d[24])/3 - d[25]/3 + d[27] + 
       2*d[33] - 2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v] + ((10*d[3])/3 - 6*d[4] + (5*d[5])/3 - 
       d[6]/3 - (35*d[7])/6 - (103*d[8])/6 + (23*d[9])/2 - (16*d[10])/3 - 
       (19*d[11])/3 - (43*d[12])/3 - (8*d[13])/3 - (8*d[14])/3 - 
       (13*d[15])/3 + (41*d[16])/3 - (7*d[17])/3 - (17*d[18])/3 + d[19]/3 + 
       (181*d[20])/12 + (14*d[21])/3 + 3*d[22] - (11*d[23])/6 + 
       (45*d[24])/4 - d[26]/3 + (4*d[27])/3 - (8*d[31])/3 - (4*d[32])/3 - 
       (14*d[33])/3 + (22*d[34])/3 - 2*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v] + (-d[1]/2 + d[2] + 2*d[3] - 2*d[4] + d[5] - 
       d[6] + (11*d[7])/2 - (7*d[8])/2 - d[9]/2 - 4*d[10] + 6*d[11] - 
       4*d[12] - 2*d[13] + d[14] - 5*d[15] + 12*d[16] - 5*d[17] + 6*d[18] + 
       d[19] + (27*d[20])/4 + (7*d[21])/2 + (5*d[23])/2 + (51*d[24])/4 - 
       d[25]/4 - d[26]/2 - d[27] - 6*d[36])*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - v] + (-4*d[4] - 8*d[9] - 4*d[19] - 8*d[22])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (4*d[3] - 4*d[4] + 4*d[7] + 8*d[9] + 4*d[19] + 8*d[22])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-6*d[3] + 6*d[4] + d[5] - 4*d[7] + 3*d[9] + d[10] + 5*d[11] - d[16] + 
       2*d[19] - 2*d[21] + 4*d[22] - 3*d[24] + (5*d[32])/2 - 2*d[34])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((-4*d[6])/3 - (4*d[7])/3 - (4*d[8])/3 + (4*d[9])/3 - (2*d[10])/3 + 
       (10*d[11])/3 + 4*d[12] + 2*d[14] + (2*d[15])/3 - 2*d[17] - 
       (2*d[19])/3 - 6*d[20] - (2*d[21])/3 - (2*d[22])/3 - (8*d[23])/3 + 
       (4*d[24])/3)*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - w] + 
     ((2*d[6])/3 + (2*d[7])/3 + (2*d[8])/3 - (2*d[9])/3 - 4*d[10] - 
       (14*d[11])/3 - 6*d[12] - 4*d[14] - (4*d[15])/3 + 2*d[17] + 
       (4*d[19])/3 + 8*d[20] + (4*d[21])/3 + (4*d[22])/3 + (10*d[23])/3 - 
       (2*d[24])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w] + (-d[3] + (2*d[6])/3 + (2*d[7])/3 + 
       (2*d[8])/3 - (2*d[9])/3 - (2*d[10])/3 + (4*d[11])/3 + 2*d[12] + 
       2*d[14] + (2*d[15])/3 - (2*d[19])/3 - 2*d[20] - (2*d[21])/3 - 
       (2*d[22])/3 - (2*d[23])/3 - (2*d[24])/3)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - w] + ((2*d[3])/3 + 2*d[4] + (7*d[5])/3 - 
       (4*d[6])/3 + d[7]/6 - (13*d[8])/2 + (13*d[9])/6 + 9*d[11] + 
       (7*d[12])/3 - (4*d[13])/3 + (2*d[14])/3 - (22*d[15])/3 + 
       (10*d[16])/3 - (14*d[17])/3 - (22*d[18])/3 + (28*d[19])/3 + 
       (41*d[20])/12 + 10*d[21] + (26*d[22])/3 + (15*d[23])/2 - d[24]/12 - 
       (2*d[26])/3 + (2*d[27])/3 + (2*d[31])/3 + d[32]/3 - (4*d[33])/3 + 
       (2*d[34])/3 + 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + ((-8*d[3])/3 + 2*d[4] - (4*d[5])/3 - 
       (2*d[6])/3 - (2*d[7])/3 + (4*d[9])/3 - 15*d[11] - (40*d[12])/3 + 
       (4*d[13])/3 - (2*d[14])/3 + (7*d[15])/3 - (25*d[16])/3 + (5*d[17])/3 + 
       d[18]/3 - (7*d[19])/3 + (29*d[20])/6 - 4*d[21] + d[22]/3 - 5*d[23] - 
       (25*d[24])/6 + (2*d[26])/3 + (4*d[27])/3 - (2*d[31])/3 - d[32]/3 - 
       (2*d[33])/3 + (4*d[34])/3 + 4*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + ((22*d[3])/3 - 8*d[4] - (7*d[5])/3 + 
       (2*d[6])/3 + (13*d[7])/6 - (67*d[8])/6 + (7*d[9])/2 - (16*d[10])/3 + 
       (20*d[11])/3 - (13*d[12])/3 - (8*d[13])/3 - (8*d[14])/3 - 
       (13*d[15])/3 + (59*d[16])/3 - (19*d[17])/3 + (25*d[18])/3 - 
       (5*d[19])/3 + (127*d[20])/12 + (26*d[21])/3 - d[22] + (19*d[23])/6 + 
       (83*d[24])/4 - (4*d[26])/3 - (2*d[27])/3 - (8*d[31])/3 - (4*d[32])/3 - 
       (2*d[33])/3 + (10*d[34])/3 - 14*d[36])*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - w] + (2*d[4] - 4*d[11] - 2*d[19] + 4*d[22])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (-2*d[3] + 2*d[4] + 4*d[11] + 2*d[19] + 4*d[22])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w] + (2*d[3] - d[4] - 3*d[10] + (9*d[11])/2 + 
       d[12] - 2*d[15] - (13*d[17])/2 + (5*d[18])/2 + 3*d[19] - (3*d[20])/2 + 
       d[21] + 5*d[22] - 3*d[23] - (21*d[24])/2)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + (-2*d[3] + 4*d[4] + d[5] + 2*d[6] + d[7] + 
       5*d[8] - 4*d[9] - 5*d[10] - 2*d[11] + 10*d[12] + 8*d[14] + 3*d[15] - 
       3*d[17] + 7*d[18] - 3*d[19] - 8*d[20] - 8*d[21] - 5*d[22] - 2*d[23] - 
       7*d[24] - 4*d[27] + 2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u] + (-2*d[6] - 2*d[7] - 2*d[8] + 2*d[9] + 
       6*d[10] - 9*d[11] - 11*d[12] - 8*d[14] - (5*d[15])/2 + (15*d[17])/2 - 
       (11*d[18])/2 + 3*d[19] + 12*d[20] + 3*d[21] + 3*d[22] + 2*d[23] + 
       5*d[24])*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - u] + 
     (d[3] - 6*d[4] + (3*d[5])/2 + (13*d[6])/6 - (4*d[7])/3 - (95*d[8])/6 + 
       (59*d[9])/6 - (13*d[10])/6 - (13*d[11])/6 - 11*d[12] + 2*d[13] - 
       12*d[14] - (59*d[15])/6 + 20*d[16] - (7*d[17])/2 + (17*d[18])/2 + 
       (29*d[19])/6 + (139*d[20])/4 + (46*d[21])/3 + (29*d[22])/6 + 
       (29*d[23])/6 + (133*d[24])/12 - d[26]/2 + (3*d[27])/2 + d[29]/2 - 
       2*d[31] - 2*d[33] + 4*d[34] + d[35] - 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((-2*d[3])/3 - (2*d[4])/3 + 10*d[5] + (37*d[7])/3 + d[8] - (5*d[9])/3 - 
       (22*d[10])/3 + (83*d[11])/3 - 4*d[12] - 8*d[13] + (46*d[14])/3 - 
       (17*d[15])/3 + 20*d[16] - (28*d[17])/3 + 4*d[18] + 2*d[19] - 
       (40*d[20])/3 + 10*d[21] + 2*d[22] + (4*d[23])/3 + (25*d[24])/3 - 
       (4*d[26])/3 - (10*d[27])/3 - (2*d[29])/3 + 2*d[31] + d[32] - 2*d[34] - 
       (2*d[35])/3 - 4*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u] + (-4*d[2] - (4*d[3])/3 + 5*d[4] - 
       (44*d[5])/3 - (19*d[6])/6 - (107*d[7])/12 + (193*d[8])/6 - 
       (39*d[9])/4 + (379*d[10])/12 - (115*d[11])/6 + (89*d[12])/6 + 
       (26*d[13])/3 - (19*d[14])/3 + (43*d[15])/3 - (785*d[16])/12 + 
       (49*d[17])/12 + (53*d[18])/12 - (29*d[19])/6 - (107*d[20])/6 - 
       (62*d[21])/3 - (23*d[22])/2 - (11*d[23])/3 - (67*d[24])/2 + 
       (17*d[26])/6 + (35*d[27])/12 - (4*d[31])/3 - (2*d[32])/3 + 
       (20*d[33])/3 - (16*d[34])/3 + 8*d[36])*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + (4*d[3] - 4*d[4] - 11*d[5] + 2*d[6] - d[7] - 
       23*d[8] + 12*d[9] - d[10] - 15*d[11] - 4*d[15] + 6*d[16] + 10*d[17] - 
       22*d[18] + d[19] + 4*d[21] + d[22] + 35*d[24] - d[29] - 4*d[31] - 
       2*d[32] + 4*d[34] - 2*d[35])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u] + (-2*d[4] - d[5] - 2*d[6] - d[7] - d[8] - 
       6*d[9] - 3*d[10] + 6*d[11] + 6*d[14] + 7*d[15] + 3*d[16] - 2*d[17] + 
       2*d[18] - 7*d[19] - (17*d[20])/2 - 8*d[21] - 7*d[22] + 3*d[23] + 
       (23*d[24])/2 + d[29] + 2*d[34] + 2*d[35])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u] + (-d[3] + 4*d[4] + (3*d[5])/2 + d[6] + 
       (3*d[7])/2 + (5*d[8])/2 + (3*d[10])/2 - (7*d[11])/2 - 3*d[14] - 
       6*d[15] - d[16] + d[18] + (13*d[19])/2 + (11*d[20])/2 + 4*d[21] + 
       (15*d[22])/2 - 3*d[23] - 12*d[24] - d[35])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u] + (3*d[3] - d[4] + (16*d[6])/3 + (16*d[7])/3 + 
       (16*d[8])/3 - (16*d[9])/3 + (23*d[10])/3 - (83*d[11])/6 - 13*d[12] - 
       10*d[14] - (2*d[15])/3 + (21*d[17])/2 + (3*d[18])/2 - d[19]/3 + 
       (39*d[20])/2 + (5*d[21])/3 - (7*d[22])/3 + (29*d[23])/3 + 
       (31*d[24])/6)*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-6*d[3] + 10*d[4] - d[5] - (16*d[6])/3 - (13*d[7])/3 - (13*d[8])/3 + 
       (4*d[9])/3 - (29*d[10])/3 + d[11]/3 + 16*d[12] + 12*d[14] + 
       (20*d[15])/3 - d[16] - 7*d[17] - 7*d[18] - (11*d[19])/3 - 32*d[20] - 
       (38*d[21])/3 - (5*d[22])/3 - (38*d[23])/3 + (22*d[24])/3 - 2*d[32])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-4*d[10] - 3*d[11] - 3*d[12] - 2*d[14] + d[15]/2 - (3*d[17])/2 + 
       (3*d[18])/2 - d[19] + 10*d[20] - d[21] - d[22] + 6*d[23] - 3*d[24])*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-6*d[3] + 8*d[4] - (44*d[5])/3 - (14*d[6])/3 - (49*d[7])/6 + 
       (175*d[8])/6 - (91*d[9])/6 + (56*d[10])/3 - (37*d[11])/3 + 
       (125*d[12])/3 - (8*d[13])/3 + (20*d[14])/3 + 16*d[15] - 
       (164*d[16])/3 + (5*d[17])/3 + (14*d[18])/3 - (28*d[19])/3 - 
       (167*d[20])/4 - 26*d[21] - (50*d[22])/3 - (121*d[23])/6 - 
       (323*d[24])/12 + (10*d[26])/3 + (10*d[27])/3 - d[28] - d[29]/3 - 
       (4*d[30])/3 - (2*d[31])/3 - d[32]/3 + (28*d[33])/3 - 10*d[34] - 
       (2*d[35])/3 + 6*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + (3*d[3] - 9*d[4] + (7*d[5])/2 + 
       (43*d[6])/6 + (14*d[7])/3 - (53*d[8])/6 + (29*d[9])/6 - (19*d[10])/6 + 
       (16*d[11])/3 - 21*d[12] + 8*d[13] - 8*d[14] - (19*d[15])/3 + 
       23*d[16] + (3*d[17])/2 - (9*d[18])/2 + (11*d[19])/6 + (111*d[20])/4 + 
       (46*d[21])/3 + (11*d[22])/6 + (89*d[23])/6 + (181*d[24])/12 - 
       (3*d[26])/2 + d[27]/2 + d[28] + d[29]/2 - d[32] + d[35] - 12*d[36])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (4*d[2] - (25*d[3])/6 + (9*d[4])/2 + (44*d[5])/3 - (10*d[6])/3 + 
       (47*d[7])/3 - (61*d[8])/6 + 5*d[9] - (217*d[10])/12 + (103*d[11])/6 - 
       (47*d[12])/6 - (5*d[13])/3 + (31*d[14])/3 - (25*d[15])/3 + 
       (479*d[16])/12 - (28*d[17])/3 + (31*d[18])/3 + (55*d[19])/12 + 
       (41*d[20])/6 + (25*d[21])/6 + (29*d[22])/4 + (26*d[23])/3 + 
       (9*d[24])/2 + d[25]/2 - (23*d[26])/6 - (25*d[27])/6 + d[28]/2 + 
       (29*d[31])/6 + (59*d[32])/12 - (8*d[33])/3 - (13*d[34])/6 - 2*d[36])*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-2*d[4] + 2*d[6] + 2*d[7] + d[8] + 4*d[10] + 10*d[11] - d[15] + 
       10*d[16] + 2*d[17] - 2*d[18] + 2*d[21] + 14*d[24] - d[27] + d[29] + 
       2*d[35])*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (8*d[3] - 6*d[4] - 10*d[5] - 2*d[6] + 2*d[7] + d[8] - 18*d[9] - 
       16*d[10] - 23*d[11] - 6*d[14] - 2*d[15] - 5*d[16] - 14*d[17] + 
       26*d[18] + (17*d[20])/2 + 2*d[21] - 3*d[23] - (25*d[24])/2 + d[27] - 
       d[29] - 4*d[31] - 4*d[32] + 6*d[34] - 2*d[35])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v] + (-d[3] + 2*d[4] + d[5] - d[6] - d[7] - 
       d[8]/2 + 2*d[9] + 7*d[10] - (3*d[11])/2 + (7*d[15])/2 - 6*d[16] + 
       d[17]/2 - (3*d[18])/2 - 3*d[19] - (5*d[20])/2 - 5*d[21] - 3*d[22] + 
       3*d[23] - (5*d[24])/2 + d[27]/2 - d[29]/2 + d[31] + d[32]/2 - d[34] - 
       d[35])*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-2*d[3] - (4*d[6])/3 - (4*d[7])/3 - (4*d[8])/3 + (4*d[9])/3 - 
       (55*d[10])/6 + (55*d[11])/12 + (17*d[12])/2 + 10*d[14] + 
       (13*d[15])/6 - (25*d[17])/4 + (31*d[18])/4 - (8*d[19])/3 - 
       (33*d[20])/2 - (17*d[21])/3 - d[22]/6 - (20*d[23])/3 + (4*d[24])/3)*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     (2*d[3] + (4*d[5])/3 + (10*d[6])/3 + (14*d[7])/3 + 6*d[8] - 
       (10*d[9])/3 + (32*d[10])/3 - (52*d[11])/3 - (58*d[12])/3 - 20*d[14] + 
       (2*d[15])/3 + (38*d[17])/3 - 4*d[18] + 36*d[20] + (8*d[21])/3 - 
       (8*d[22])/3 + 10*d[23] - (22*d[24])/3 - (4*d[27])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-2*d[6] - 2*d[7] - 2*d[8] + 2*d[9] + d[10] + 13*d[11] + (21*d[12])/2 + 
       (19*d[14])/2 - (9*d[15])/4 - (23*d[17])/4 - (19*d[18])/4 + 
       (5*d[19])/2 - 20*d[20] + (5*d[21])/2 + (5*d[22])/2 - (7*d[23])/2 + 
       2*d[24])*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     ((-10*d[3])/3 + 2*d[4] + (43*d[5])/3 - (17*d[6])/3 + (25*d[7])/3 - 
       (28*d[8])/3 + 8*d[9] - (50*d[10])/3 + (34*d[11])/3 - (56*d[12])/3 - 
       (55*d[13])/3 + (29*d[14])/3 - (17*d[15])/3 + (76*d[16])/3 - 
       (23*d[17])/3 + (23*d[18])/3 + (14*d[19])/3 - (17*d[20])/6 + 
       (16*d[21])/3 + 11*d[22] + (40*d[23])/3 + (83*d[24])/2 - (2*d[26])/3 - 
       (10*d[27])/3 - d[28] - d[29]/2 + (8*d[31])/3 + (4*d[32])/3 - 
       (25*d[33])/3 + (23*d[34])/3 + 8*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + (-8*d[3] + 8*d[4] - 12*d[5] - 4*d[6] - 
       (9*d[7])/2 + (59*d[8])/2 - (39*d[9])/2 + 28*d[10] - 18*d[11] + 
       15*d[12] + 21*d[13] - 3*d[14] + 8*d[15] - (95*d[16])/2 + 12*d[17] + 
       3*d[19] - (51*d[20])/4 - 12*d[21] - 4*d[22] - (9*d[23])/2 - 
       (187*d[24])/4 + 3*d[26] + d[27] + d[28] + d[29]/2 + 2*d[31] + d[32] + 
       7*d[33] - 8*d[34] + 18*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + (-2*d[3] + 4*d[5] + d[6] - (7*d[7])/2 - 
       (25*d[8])/2 + (19*d[9])/2 - 6*d[10] - 2*d[11] - 11*d[12] - 5*d[15] + 
       8*d[16] - 2*d[17] - 6*d[18] + 4*d[19] + (33*d[20])/4 + 8*d[21] + 
       8*d[22] + (5*d[23])/2 + (27*d[24])/4 - d[26] + d[27] - 4*d[33] + 
       4*d[34] + 6*d[36])*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-2*d[3] + d[4] - (5*d[6])/2 - d[7] - 2*d[8] - 4*d[9] - (5*d[10])/2 - 
       (3*d[11])/2 - 4*d[12] + d[13] - 3*d[14] - d[15] + (9*d[16])/2 - 
       4*d[17] + 6*d[18] + d[19] + 3*d[20] + 2*d[21] + d[23] - 12*d[24] + 
       d[26]/2 + d[29]/2 + d[33] - d[34] - d[35] + 6*d[36])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (d[4] + d[5] + (5*d[6])/2 - d[8] + 6*d[9] + (9*d[10])/2 + 2*d[11] - 
       4*d[12] + d[13] - d[15]/2 - 5*d[16] + 2*d[19] + d[21] + 3*d[22] + 
       2*d[23] - (15*d[24])/2 - d[26]/2 - d[29]/2 - d[32] - d[33] + 2*d[34] - 
       d[35] + 6*d[36])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (4*d[6] + 4*d[7] + 4*d[8] - 4*d[9] - 4*d[10] - 7*d[11] - 6*d[12] + 
       d[15] + 3*d[17] + 6*d[18] - d[19] + 6*d[20] - d[21] - d[22] + 
       2*d[23] - 4*d[24])*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-4*d[3] - 2*d[6] - 2*d[7] - 2*d[8] + 2*d[9] + 5*d[10] - d[11] - 
       6*d[14] + d[15] + 3*d[17] - 6*d[18] - d[19] + 12*d[20] - d[21] - 
       d[22] + 2*d[23] + 2*d[24])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + (2*d[3] - 2*d[6] - 2*d[7] - 2*d[8] + 
       2*d[9] - 4*d[10] + 8*d[11] + 6*d[12] + 6*d[14] - 2*d[15] - 6*d[17] + 
       2*d[19] - 18*d[20] + 2*d[21] + 2*d[22] - 4*d[23] + 2*d[24])*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-2*d[3] + 6*d[4] + (7*d[5])/2 - 12*d[6] + (15*d[7])/4 + (65*d[8])/4 - 
       d[9]/4 - 2*d[10] + 4*d[11] + (19*d[12])/2 + d[13] + 10*d[14] + 
       3*d[15] + d[16]/2 - 4*d[17] + 13*d[18] - (7*d[19])/2 - (181*d[20])/8 - 
       14*d[21] - (13*d[22])/2 + (19*d[23])/4 + (49*d[24])/8 + 2*d[26] - 
       (7*d[27])/2 + d[31] + d[32]/2 + d[33] - 2*d[34] + 3*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-4*d[3] + (25*d[4])/3 - 11*d[5] + (33*d[6])/2 - (17*d[7])/6 + 
       (45*d[8])/2 - (35*d[9])/2 + 27*d[10] - (17*d[11])/2 + 27*d[12] + 
       8*d[13] - 10*d[14] + 25*d[15] - 44*d[16] + (25*d[17])/2 + 
       (7*d[18])/2 - (53*d[19])/3 - (65*d[20])/4 - 25*d[21] - (67*d[22])/3 - 
       (37*d[23])/2 - (95*d[24])/4 + d[26] + 2*d[27] + 2*d[31] + d[32] + 
       8*d[33] - 10*d[34] + 6*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u] + ((-3*d[2])/2 + 4*d[3] - (13*d[4])/2 - 
       (31*d[5])/4 + (35*d[6])/4 - (11*d[7])/2 - 17*d[8] + (9*d[9])/4 - 
       13*d[10] + (13*d[11])/2 - (67*d[12])/4 + 22*d[13] + (5*d[14])/2 - 
       d[15]/4 + (5*d[16])/4 + 23*d[17] - (179*d[18])/4 - (5*d[19])/2 + 
       (347*d[20])/8 + (43*d[21])/2 - 15*d[22] - d[23]/4 - (69*d[24])/8 - 
       d[26]/4 + 4*d[27] - 2*d[31] - d[32] + (17*d[33])/2 - (13*d[34])/2 - 
       6*d[36])*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (2*d[4] - (3*d[5])/2 - 9*d[6] - (15*d[7])/2 - (15*d[8])/2 + 9*d[9] + 
       (27*d[10])/2 - 23*d[11] + (11*d[15])/2 + 3*d[16] - 25*d[17] + 
       45*d[18] - (3*d[19])/2 - 29*d[21] - d[22]/2 + (15*d[24])/2 - 3*d[27])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (4*d[3] - d[4] - (3*d[5])/2 - 15*d[6] - (27*d[7])/2 - (27*d[8])/2 + 
       15*d[9] + (21*d[10])/2 + (21*d[11])/2 - (21*d[15])/2 + 3*d[16] - 
       (27*d[17])/2 - (3*d[18])/2 + (13*d[19])/2 + 9*d[21] + (5*d[22])/2 + 
       (27*d[24])/2 - 3*d[27])*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     ((3*d[3])/2 - 2*d[4] + (3*d[5])/4 - (21*d[6])/2 - (45*d[7])/4 - 
       (45*d[8])/4 + (21*d[9])/2 + (3*d[10])/4 + (51*d[11])/4 + (3*d[12])/2 - 
       (3*d[15])/4 - (3*d[16])/2 - (57*d[17])/4 + (27*d[18])/4 - 
       (5*d[19])/4 - (3*d[20])/2 - (9*d[21])/2 + (19*d[22])/4 + 
       (27*d[24])/4 + (3*d[27])/2)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u] + ((-3*d[3])/2 - 6*d[10] + 6*d[14] - 6*d[20])*
      HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     (4*d[6] + 4*d[7] + 4*d[8] - 4*d[9] + 5*d[10] - 4*d[11] - 6*d[14] + 
       4*d[15] + 3*d[17] + 6*d[18] - 4*d[19] + 12*d[20] - 4*d[21] - 4*d[22] - 
       d[23] - 4*d[24])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v] + (-4*d[6] - 4*d[7] - 4*d[8] + 4*d[9] + 
       d[10] + 4*d[11] - 4*d[15] - 3*d[17] - 6*d[18] + 4*d[19] - 6*d[20] + 
       4*d[21] + 4*d[22] + d[23] + 4*d[24])*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - v] + ((8*d[4])/3 + 12*d[5] + d[6] - (15*d[7])/2 - 
       (33*d[8])/2 + (39*d[9])/2 - 5*d[10] - (8*d[11])/3 - 8*d[12] - 
       6*d[13] - d[14] - d[15]/2 + 33*d[16] + (11*d[17])/2 + (21*d[18])/2 - 
       2*d[19] + d[20] - 5*d[21] + 4*d[22] - (25*d[23])/2 + (25*d[24])/2 - 
       3*d[27] - 6*d[33] + 6*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + (-5*d[3] + 9*d[4] - (5*d[5])/2 + d[6]/2 + 
       (59*d[7])/4 + (127*d[8])/4 - (93*d[9])/4 + 2*d[10] + (19*d[11])/2 + 
       (43*d[12])/2 + 4*d[13] + 7*d[14] + (13*d[15])/2 - (41*d[16])/2 + 
       d[17]/2 + (17*d[18])/2 - (7*d[19])/2 - (253*d[20])/8 - 7*d[21] - 
       (21*d[22])/2 - d[23]/4 - (183*d[24])/8 + d[26]/2 - 2*d[27] + 4*d[31] + 
       2*d[32] + 7*d[33] - 11*d[34] + 3*d[36])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (d[1]/2 + 3*d[2] + 6*d[3] - (15*d[4])/2 - (75*d[5])/4 + (27*d[6])/4 - 
       (111*d[7])/8 + (87*d[8])/8 - (75*d[9])/8 + (21*d[10])/4 - 
       (33*d[11])/2 + (159*d[12])/4 + (3*d[14])/2 + (117*d[15])/4 - 
       (165*d[16])/4 + 9*d[17] + 12*d[18] - 27*d[19] - (267*d[20])/8 - 
       27*d[21] - 39*d[22] - (15*d[23])/4 + (21*d[24])/4 + (9*d[26])/4 + 
       (27*d[27])/4 - (3*d[28])/4 - 3*d[30] - 6*d[31] - 3*d[32] + 
       (21*d[33])/2 - (9*d[34])/2)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - v] + (3*d[4] - 3*d[5] + 15*d[6] + 15*d[7] + 
       (27*d[8])/2 - 15*d[9] - 18*d[10] - 18*d[11] + 15*d[15] + 3*d[16] + 
       (27*d[17])/2 + (3*d[18])/2 - 15*d[19] - 18*d[21] - 15*d[22] - 
       12*d[24] - (3*d[27])/2)*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (3*d[4] + 9*d[6] + 12*d[7] + (27*d[8])/2 - 9*d[9] + 35*d[10] - 
       18*d[11] + (27*d[15])/2 + 3*d[16] + 25*d[17] - 45*d[18] - 15*d[19] - 
       21*d[21] - 15*d[22] - 15*d[24] - (9*d[27])/2)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v] + ((-3*d[4])/2 - (3*d[5])/2 + (21*d[6])/2 + 
       (15*d[7])/2 + (21*d[8])/4 - (21*d[9])/2 - (21*d[10])/2 - 3*d[11] - 
       (3*d[12])/2 - (9*d[14])/2 + (3*d[15])/2 - (3*d[16])/2 + (9*d[17])/4 + 
       (9*d[18])/4 - (3*d[19])/2 + (27*d[20])/4 + 3*d[21] - (3*d[22])/2 + 
       (3*d[23])/2 - (75*d[24])/4 + (15*d[27])/4)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + ((7*d[6])/4 + 4*d[7] + 4*d[8] - 4*d[9] + 
       2*d[10] - 10*d[11] - 15*d[12] - 6*d[14] - 5*d[15] + 3*d[17] + 
       5*d[19] + 18*d[20] + 5*d[21] + 5*d[22] + 11*d[23] - 4*d[24])*
      HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((8*d[3])/3 + d[6] - (7*d[7])/3 - 5*d[8] + 5*d[9] + 18*d[11] + 
       26*d[12] + 12*d[14] + 8*d[15] - 2*d[17] - 8*d[19] - 24*d[20] - 
       8*d[21] - 8*d[22] - 18*d[23] + 5*d[24])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (-2*d[6] - (3*d[7])/4 + d[8]/4 - d[9]/4 - d[10] - 7*d[11] - 9*d[12] - 
       6*d[14] - 2*d[15] + 2*d[19] + 6*d[20] + 2*d[21] + 2*d[22] + 5*d[23] - 
       d[24]/4)*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - w] + 
     (-4*d[2] + 4*d[3] - 7*d[5] + 3*d[6] - (3*d[7])/2 + (37*d[8])/2 - 
       (11*d[9])/2 + (5*d[10])/2 - 8*d[11] + 20*d[12] + 4*d[13] - 2*d[14] + 
       18*d[15] - 10*d[16] + 11*d[17] + 16*d[18] - 18*d[19] - (59*d[20])/4 - 
       26*d[21] - 22*d[22] - (19*d[23])/2 + (5*d[24])/4 + 2*d[26] - 2*d[27] - 
       2*d[31] - d[32] + 4*d[33] - 2*d[34] - 6*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (4*d[2] + 2*d[3] + 4*d[5] + 3*d[6] + (17*d[7])/2 + d[8] - 5*d[9] - 
       4*d[10] + 26*d[11] + 13*d[12] - 4*d[13] + 2*d[14] - 3*d[15] + 
       25*d[16] - 2*d[17] + 5*d[18] - 3*d[19] - 10*d[20] + 8*d[21] - 
       5*d[22] + 2*d[23] + (23*d[24])/2 - 2*d[26] - 4*d[27] + 2*d[31] + 
       d[32] + 2*d[33] - 4*d[34] - 12*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w] + (-11*d[3] + 12*d[4] + (7*d[5])/2 - d[6] - 
       (13*d[7])/4 + (67*d[8])/4 - (21*d[9])/4 + 8*d[10] - 10*d[11] + 
       (13*d[12])/2 + 4*d[13] + 4*d[14] + (13*d[15])/2 - (59*d[16])/2 + 
       (19*d[17])/2 - (25*d[18])/2 + (5*d[19])/2 - (127*d[20])/8 - 13*d[21] + 
       (3*d[22])/2 - (19*d[23])/4 - (249*d[24])/8 + 2*d[26] + d[27] + 
       4*d[31] + 2*d[32] + d[33] - 5*d[34] + 21*d[36])*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - w] + ((-9*d[6])/2 + (3*d[8])/2 - (3*d[9])/2 - 
       (3*d[13])/2 + (3*d[14])/2 - 6*d[15] - 6*d[17] + 6*d[19] - 
       (3*d[20])/2 + 6*d[21] + 6*d[22] + (9*d[24])/2)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w] + ((5*d[7])/2 + (9*d[8])/2 - (9*d[9])/2 - 
       6*d[10] - 6*d[11] + (3*d[13])/2 - (3*d[14])/2 + (3*d[20])/2)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((-8*d[6])/3 - (8*d[7])/3 - (8*d[8])/3 + (8*d[9])/3 + (8*d[10])/3 + 
       (14*d[11])/3 + 2*d[12] - (8*d[15])/3 + 16*d[16] - 2*d[17] - 4*d[18] + 
       (8*d[19])/3 - 4*d[20] + (8*d[21])/3 + (8*d[22])/3 + (2*d[23])/3 + 
       (56*d[24])/3)*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     ((8*d[6])/3 + (8*d[7])/3 + (8*d[8])/3 - (8*d[9])/3 - (8*d[10])/3 - 
       (14*d[11])/3 - 2*d[12] + (8*d[15])/3 - 16*d[16] + 2*d[17] + 4*d[18] - 
       (8*d[19])/3 + 4*d[20] - (8*d[21])/3 - (8*d[22])/3 - (2*d[23])/3 - 
       (56*d[24])/3)*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     (2*d[1] + (4*d[3])/3 - 4*d[4] - (7*d[5])/3 + (2*d[6])/3 - (47*d[7])/6 - 
       (103*d[8])/6 + (19*d[9])/2 - (4*d[10])/3 - (10*d[11])/3 - 
       (31*d[12])/3 - (2*d[13])/3 - (8*d[14])/3 - (16*d[15])/3 + 
       (41*d[16])/3 - (10*d[17])/3 - (20*d[18])/3 + (13*d[19])/3 + 
       (133*d[20])/12 + (26*d[21])/3 + 9*d[22] + d[23]/6 + (53*d[24])/4 - 
       (4*d[26])/3 + (4*d[27])/3 - (2*d[31])/3 - d[32]/3 - (14*d[33])/3 + 
       (16*d[34])/3 - 2*d[36])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     ((-8*d[6])/3 - (8*d[7])/3 - (8*d[8])/3 + (8*d[9])/3 + (8*d[10])/3 + 
       (14*d[11])/3 + 2*d[12] - (8*d[15])/3 - 2*d[17] - 4*d[18] + 
       (8*d[19])/3 - 4*d[20] + (8*d[21])/3 + (32*d[22])/3 + (2*d[23])/3 + 
       (8*d[24])/3)*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     ((8*d[6])/3 + (8*d[7])/3 + (8*d[8])/3 - (8*d[9])/3 - (8*d[10])/3 - 
       (14*d[11])/3 - 2*d[12] + (8*d[15])/3 + 2*d[17] + 4*d[18] - 
       (8*d[19])/3 + 4*d[20] - (8*d[21])/3 - (32*d[22])/3 - (2*d[23])/3 - 
       (8*d[24])/3)*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     (2*d[1] + (4*d[3])/3 - 2*d[4] + (5*d[5])/3 + (2*d[6])/3 - (35*d[7])/6 - 
       (103*d[8])/6 + (19*d[9])/2 - (16*d[10])/3 - (10*d[11])/3 - 
       (31*d[12])/3 - (2*d[13])/3 - (8*d[14])/3 - (16*d[15])/3 + 
       (29*d[16])/3 - (10*d[17])/3 - (20*d[18])/3 + (7*d[19])/3 + 
       (133*d[20])/12 + (26*d[21])/3 + 5*d[22] + d[23]/6 + (21*d[24])/4 - 
       (4*d[26])/3 + (4*d[27])/3 - (2*d[31])/3 - d[32]/3 - (14*d[33])/3 + 
       (16*d[34])/3 - 2*d[36])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     (4*d[3] - (8*d[6])/3 - (8*d[7])/3 - (8*d[8])/3 + (8*d[9])/3 + 
       (8*d[10])/3 + (14*d[11])/3 + 2*d[12] - (8*d[15])/3 - 2*d[17] - 
       4*d[18] + (8*d[19])/3 - 4*d[20] + (8*d[21])/3 + (8*d[22])/3 + 
       (2*d[23])/3 + (8*d[24])/3)*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 
       1 - w] + (-4*d[3] + (8*d[6])/3 + (8*d[7])/3 + (8*d[8])/3 - 
       (8*d[9])/3 - (8*d[10])/3 - (14*d[11])/3 - 2*d[12] + (8*d[15])/3 + 
       2*d[17] + 4*d[18] - (8*d[19])/3 + 4*d[20] - (8*d[21])/3 - 
       (8*d[22])/3 - (2*d[23])/3 - (8*d[24])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1}, 1 - w] + ((4*d[3])/3 - 4*d[4] + (5*d[5])/3 + 
       (2*d[6])/3 - (35*d[7])/6 - (103*d[8])/6 + (19*d[9])/2 - (16*d[10])/3 - 
       (10*d[11])/3 - (31*d[12])/3 - (2*d[13])/3 - (8*d[14])/3 - 
       (16*d[15])/3 + (29*d[16])/3 - (10*d[17])/3 - (20*d[18])/3 + 
       (13*d[19])/3 + (133*d[20])/12 + (26*d[21])/3 + 9*d[22] + d[23]/6 + 
       (21*d[24])/4 - (4*d[26])/3 + (4*d[27])/3 - (2*d[31])/3 - d[32]/3 - 
       (14*d[33])/3 + (16*d[34])/3 - 2*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - w] + (12*d[3] - 12*d[4] + 6*d[5] + 
       (16*d[6])/3 + (34*d[7])/3 + (70*d[8])/3 - (196*d[9])/3 + (2*d[10])/3 - 
       (160*d[11])/3 - 22*d[12] + 12*d[13] + (112*d[15])/3 + 12*d[16] - 
       22*d[17] + 100*d[18] - (112*d[19])/3 + 20*d[20] - (112*d[21])/3 - 
       (112*d[22])/3 + (26*d[23])/3 - (52*d[24])/3 + 6*d[29] + 6*d[35] - 
       36*d[36])*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u] + 
     (-12*d[3] + 12*d[4] - 6*d[5] - (16*d[6])/3 - (34*d[7])/3 - (70*d[8])/3 + 
       (196*d[9])/3 - (2*d[10])/3 + (160*d[11])/3 + 22*d[12] - 12*d[13] - 
       (112*d[15])/3 - 12*d[16] + 22*d[17] - 100*d[18] + (112*d[19])/3 - 
       20*d[20] + (112*d[21])/3 + (112*d[22])/3 - (26*d[23])/3 + 
       (52*d[24])/3 - 6*d[29] - 6*d[35] + 36*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - u] + (-26*d[2] - (26*d[3])/3 + 22*d[4] + 
       (26*d[5])/3 - (40*d[6])/3 + (133*d[7])/6 + (731*d[8])/6 - 
       (95*d[9])/2 + (134*d[10])/3 + (107*d[11])/3 + (149*d[12])/3 + 
       (16*d[13])/3 + (40*d[14])/3 + (128*d[15])/3 - (461*d[16])/6 - 
       (22*d[17])/3 + (268*d[18])/3 - (95*d[19])/3 - (665*d[20])/12 - 
       (199*d[21])/3 - 48*d[22] + (7*d[23])/6 - (189*d[24])/4 + 
       (20*d[26])/3 - (8*d[27])/3 + (5*d[29])/2 + (22*d[31])/3 + 
       (11*d[32])/3 + (49*d[33])/3 - (71*d[34])/3 + 3*d[35] + 4*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u] + 
     (-4*d[3] + (16*d[6])/3 + (4*d[7])/3 + (88*d[8])/3 - (88*d[9])/3 - 
       (112*d[10])/3 - (190*d[11])/3 + 2*d[12] - 12*d[14] + (16*d[15])/3 - 
       6*d[16] - 22*d[17] + 100*d[18] + (2*d[19])/3 + 32*d[20] - 
       (16*d[21])/3 + (2*d[22])/3 - (10*d[23])/3 - (232*d[24])/3 - 6*d[32] + 
       12*d[34] - 6*d[35] + 36*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1}, 1 - v] + (4*d[3] - (16*d[6])/3 - (4*d[7])/3 - 
       (88*d[8])/3 + (88*d[9])/3 + (112*d[10])/3 + (190*d[11])/3 - 2*d[12] + 
       12*d[14] - (16*d[15])/3 + 6*d[16] + 22*d[17] - 100*d[18] - 
       (2*d[19])/3 - 32*d[20] + (16*d[21])/3 - (2*d[22])/3 + (10*d[23])/3 + 
       (232*d[24])/3 + 6*d[32] - 12*d[34] + 6*d[35] - 36*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     (2*d[2] - (80*d[3])/3 + 40*d[4] + (23*d[5])/3 - (10*d[6])/3 + 
       (163*d[7])/6 + (599*d[8])/6 - (87*d[9])/2 + (149*d[10])/3 + 
       (227*d[11])/3 + (209*d[12])/3 + (10*d[13])/3 + (40*d[14])/3 + 
       (181*d[15])/6 - (202*d[16])/3 + (235*d[17])/6 - (49*d[18])/6 - 
       (98*d[19])/3 - (665*d[20])/12 - (187*d[21])/3 - 66*d[22] - 
       (161*d[23])/6 - (261*d[24])/4 - (7*d[25])/2 + (20*d[26])/3 - 
       (20*d[27])/3 + (16*d[31])/3 + (29*d[32])/3 + (88*d[33])/3 - 
       (122*d[34])/3 + 3*d[35] + 4*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - v] + ((76*d[6])/3 + (76*d[7])/3 + 
       (76*d[8])/3 - (76*d[9])/3 - (136*d[10])/3 - (46*d[11])/3 + 6*d[12] - 
       6*d[14] + (28*d[15])/3 - 6*d[17] + 60*d[18] - (22*d[19])/3 + 
       26*d[20] - (64*d[21])/3 - (28*d[22])/3 - (4*d[23])/3 - (76*d[24])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w] + 
     ((-76*d[6])/3 - (76*d[7])/3 - (76*d[8])/3 + (76*d[9])/3 + 
       (136*d[10])/3 + (46*d[11])/3 - 6*d[12] + 6*d[14] - (28*d[15])/3 + 
       6*d[17] - 60*d[18] + (22*d[19])/3 - 26*d[20] + (64*d[21])/3 + 
       (28*d[22])/3 + (4*d[23])/3 + (76*d[24])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - w] + ((-20*d[3])/3 + 20*d[4] - (25*d[5])/3 - 
       (10*d[6])/3 + (175*d[7])/6 + (515*d[8])/6 - (95*d[9])/2 + 
       (80*d[10])/3 + (50*d[11])/3 + (155*d[12])/3 + (10*d[13])/3 + 
       (40*d[14])/3 + (80*d[15])/3 - (145*d[16])/3 + (50*d[17])/3 + 
       (100*d[18])/3 - (65*d[19])/3 - (665*d[20])/12 - (130*d[21])/3 - 
       45*d[22] - (5*d[23])/6 - (105*d[24])/4 + (20*d[26])/3 - (20*d[27])/3 + 
       (10*d[31])/3 + (5*d[32])/3 + (70*d[33])/3 - (80*d[34])/3 + 10*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w] + 
     (4*d[3] - 4*d[4] + 2*d[5] + 4*d[6] + 6*d[7] + 10*d[8] - 24*d[9] - 
       2*d[10] - 28*d[11] - 11*d[12] + 4*d[13] + 19*d[15] + 4*d[16] - 
       6*d[17] + 44*d[18] - 19*d[19] + 12*d[20] - 19*d[21] - 19*d[22] + 
       3*d[23] - 8*d[24] + 2*d[29] + 2*d[35] - 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 0, 1}, 1 - u] + (-4*d[3] + 4*d[4] - 2*d[5] - 4*d[6] - 
       6*d[7] - 10*d[8] + 24*d[9] + 2*d[10] + 28*d[11] + 11*d[12] - 4*d[13] - 
       19*d[15] - 4*d[16] + 6*d[17] - 44*d[18] + 19*d[19] - 12*d[20] + 
       19*d[21] + 19*d[22] - 3*d[23] + 8*d[24] - 2*d[29] - 2*d[35] + 
       12*d[36])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     ((-23*d[2])/2 - 6*d[3] + 14*d[4] + 3*d[5] - (19*d[6])/2 + 10*d[7] + 
       61*d[8] - 25*d[9] + 21*d[10] + (29*d[11])/2 + (59*d[12])/2 + 2*d[13] + 
       8*d[14] + 21*d[15] - (77*d[16])/2 - d[17] + 44*d[18] - 15*d[19] - 
       32*d[20] - 37*d[21] - 23*d[22] - d[23] - 23*d[24] + d[25]/4 + 
       4*d[26] - 2*d[27] + d[29] + 4*d[31] + 2*d[32] + 8*d[33] - 12*d[34] + 
       d[35] + 6*d[36])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     (-4*d[3] + 4*d[6] + 12*d[8] - 12*d[9] - 19*d[10] - 25*d[11] - d[12] - 
       4*d[14] + 4*d[15] - 2*d[16] - 6*d[17] + 44*d[18] - 2*d[19] + 
       16*d[20] - 4*d[21] - 2*d[22] - 2*d[23] - 28*d[24] - 2*d[32] + 
       4*d[34] - 2*d[35] + 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 0, 1}, 1 - v] + (4*d[3] - 4*d[6] - 12*d[8] + 12*d[9] + 
       19*d[10] + 25*d[11] + d[12] + 4*d[14] - 4*d[15] + 2*d[16] + 6*d[17] - 
       44*d[18] + 2*d[19] - 16*d[20] + 4*d[21] + 2*d[22] + 2*d[23] + 
       28*d[24] + 2*d[32] - 4*d[34] + 2*d[35] - 12*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - v] + (-d[2]/2 - 13*d[3] + 21*d[4] + 4*d[5] - 
       (3*d[6])/2 + (33*d[7])/2 + (117*d[8])/2 - 30*d[9] + (57*d[10])/2 + 
       (131*d[11])/4 + (71*d[12])/2 + (5*d[13])/2 + 6*d[14] + 19*d[15] - 
       (89*d[16])/2 + (87*d[17])/4 - d[18]/4 - (35*d[19])/2 - (65*d[20])/2 - 
       35*d[21] - 35*d[22] - 11*d[23] - (149*d[24])/4 - (3*d[25])/2 + 
       (7*d[26])/2 - 4*d[27] - d[29]/4 + 3*d[31] + (9*d[32])/2 + 
       (31*d[33])/2 - 21*d[34] + d[35] + 6*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - v] + (13*d[6] + 13*d[7] + 13*d[8] - 13*d[9] - 
       17*d[10] - (15*d[11])/2 + 2*d[12] - (5*d[14])/2 + (11*d[15])/2 + 
       27*d[18] - (7*d[19])/2 + (29*d[20])/2 - 9*d[21] - 6*d[22] + d[23]/2 - 
       13*d[24])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w] + 
     (-13*d[6] - 13*d[7] - 13*d[8] + 13*d[9] + 17*d[10] + (15*d[11])/2 - 
       2*d[12] + (5*d[14])/2 - (11*d[15])/2 - 27*d[18] + (7*d[19])/2 - 
       (29*d[20])/2 + 9*d[21] + 6*d[22] - d[23]/2 + 13*d[24])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - w] + (-4*d[3] + 11*d[4] - 6*d[5] - 
       (3*d[6])/2 + (27*d[7])/2 + (93*d[8])/2 - (53*d[9])/2 + (31*d[10])/2 + 
       (13*d[11])/2 + 30*d[12] + 3*d[13] + 6*d[14] + (31*d[15])/2 - 
       (61*d[16])/2 + (21*d[17])/2 + (29*d[18])/2 - 12*d[19] - 31*d[20] - 
       25*d[21] - 24*d[22] - 2*d[23] - (37*d[24])/2 + (7*d[26])/2 - 3*d[27] + 
       2*d[31] + d[32] + 13*d[33] - 15*d[34] + 6*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - w] + (-12*d[3] - 16*d[6] - 16*d[7] - 16*d[8] + 
       16*d[9] + 16*d[10] - 68*d[11] - 24*d[12] + 20*d[15] - 18*d[17] + 
       90*d[18] - 16*d[19] + 48*d[20] - 44*d[21] - 28*d[22] + 4*d[23] + 
       16*d[24])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     (12*d[3] + 16*d[6] + 16*d[7] + 16*d[8] - 16*d[9] - 16*d[10] + 68*d[11] + 
       24*d[12] - 20*d[15] + 18*d[17] - 90*d[18] + 16*d[19] - 48*d[20] + 
       44*d[21] + 28*d[22] - 4*d[23] - 16*d[24])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - u] + ((-51*d[3])/2 + (85*d[4])/2 - 26*d[5] + 
       7*d[6] + (85*d[7])/4 + (199*d[8])/2 - (327*d[9])/4 + (107*d[10])/2 - 
       62*d[11] + 7*d[12] + 17*d[13] + 8*d[14] + (191*d[15])/2 - 
       (175*d[16])/2 + 73*d[17] + 11*d[18] - 66*d[19] - (215*d[20])/2 - 
       161*d[21] - (143*d[22])/2 + 16*d[23] + (189*d[24])/4 + (17*d[26])/2 - 
       (37*d[27])/4 + (3*d[28])/2 + (3*d[29])/4 + 6*d[30] + 11*d[31] + 
       7*d[32] + (31*d[33])/2 - 28*d[34] - (9*d[35])/2 + 60*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     (-16*d[6] - 16*d[7] - 16*d[8] + 16*d[9] - 92*d[10] - 26*d[11] - 
       42*d[12] - 12*d[14] - 16*d[15] - 36*d[17] + 108*d[18] + 16*d[19] + 
       96*d[20] + 16*d[21] + 16*d[22] + 22*d[23] + 16*d[24])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - v] + (16*d[6] + 16*d[7] + 16*d[8] - 16*d[9] + 
       92*d[10] + 26*d[11] + 42*d[12] + 12*d[14] + 16*d[15] + 36*d[17] - 
       108*d[18] - 16*d[19] - 96*d[20] - 16*d[21] - 16*d[22] - 22*d[23] - 
       16*d[24])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     ((-41*d[3])/2 + (81*d[4])/2 - 38*d[5] - (155*d[6])/4 - (47*d[7])/4 + 
       (425*d[8])/4 - (327*d[9])/4 + 61*d[10] - (257*d[11])/4 + 91*d[12] - 
       55*d[13] - (59*d[14])/2 + (97*d[15])/4 - (361*d[16])/2 + 
       (109*d[17])/4 + (155*d[18])/4 + 5*d[19] - 34*d[20] - 68*d[21] - 
       18*d[22] - 20*d[23] - (399*d[24])/4 + (43*d[26])/4 - 4*d[27] - 
       9*d[28] - 3*d[29] + 24*d[30] + d[31]/2 + d[32]/4 + 23*d[33] - 
       (47*d[34])/2 - (9*d[35])/2 + 60*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - v] + (20*d[6] + 18*d[7] + 26*d[8] - 32*d[9] + 
       4*d[10] - 20*d[11] - 24*d[12] + 42*d[13] - 12*d[14] - 4*d[15] + 
       42*d[16] + 51*d[18] + 4*d[19] + 72*d[20] + 4*d[21] + 4*d[22] + 
       16*d[23] - 50*d[24] + 3*d[28] + 3*d[29])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - w] + (-20*d[6] - 18*d[7] - 26*d[8] + 32*d[9] - 
       4*d[10] + 20*d[11] + 24*d[12] - 42*d[13] + 12*d[14] + 4*d[15] - 
       42*d[16] - 51*d[18] - 4*d[19] - 72*d[20] - 4*d[21] - 4*d[22] - 
       16*d[23] + 50*d[24] - 3*d[28] - 3*d[29])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - w] + (8*d[3] + 12*d[4] - 29*d[5] - 8*d[6] + 
       (77*d[7])/2 + (253*d[8])/2 - (171*d[9])/2 + 52*d[10] + 22*d[11] + 
       97*d[12] + 2*d[13] + 8*d[14] + 46*d[15] - 77*d[16] + 22*d[17] + 
       56*d[18] - 37*d[19] - (331*d[20])/4 - 74*d[21] - 75*d[22] - 
       (31*d[23])/2 - (225*d[24])/4 + 10*d[26] - 10*d[27] + 2*d[31] + d[32] + 
       38*d[33] - 40*d[34] - 30*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - w] + (-4*d[3] - (8*d[6])/3 - (8*d[7])/3 - 
       (8*d[8])/3 + (8*d[9])/3 + (8*d[10])/3 - (73*d[11])/3 - 8*d[12] + 
       (25*d[15])/3 - 3*d[17] + 28*d[18] - (13*d[19])/3 + 14*d[20] - 
       (49*d[21])/3 - (25*d[22])/3 + (8*d[23])/3 + (8*d[24])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     (4*d[3] + (8*d[6])/3 + (8*d[7])/3 + (8*d[8])/3 - (8*d[9])/3 - 
       (8*d[10])/3 + (73*d[11])/3 + 8*d[12] - (25*d[15])/3 + 3*d[17] - 
       28*d[18] + (13*d[19])/3 - 14*d[20] + (49*d[21])/3 + (25*d[22])/3 - 
       (8*d[23])/3 - (8*d[24])/3)*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 
       1 - u] + ((-43*d[3])/6 + (23*d[4])/2 - (47*d[5])/6 + (14*d[6])/3 + 
       (25*d[7])/6 + (295*d[8])/12 - (45*d[9])/2 + (91*d[10])/6 - 
       (137*d[11])/6 - (23*d[12])/6 + (16*d[13])/3 + (4*d[14])/3 + 
       (92*d[15])/3 - (73*d[16])/3 + (74*d[17])/3 + d[18]/3 - (62*d[19])/3 - 
       (727*d[20])/24 - (305*d[21])/6 - (39*d[22])/2 + (71*d[23])/12 + 
       (131*d[24])/8 + (13*d[26])/6 - (29*d[27])/12 + d[28]/2 + d[29]/4 + 
       2*d[30] + (10*d[31])/3 + (13*d[32])/6 + (17*d[33])/6 - (20*d[34])/3 - 
       (3*d[35])/2 + 19*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     ((-8*d[6])/3 - (8*d[7])/3 - (8*d[8])/3 + (8*d[9])/3 - (97*d[10])/3 - 
       (28*d[11])/3 - 12*d[12] - 4*d[14] - (8*d[15])/3 - 9*d[17] + 34*d[18] + 
       (8*d[19])/3 + 30*d[20] + (8*d[21])/3 + (8*d[22])/3 + (23*d[23])/3 + 
       (8*d[24])/3)*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v] + 
     ((8*d[6])/3 + (8*d[7])/3 + (8*d[8])/3 - (8*d[9])/3 + (97*d[10])/3 + 
       (28*d[11])/3 + 12*d[12] + 4*d[14] + (8*d[15])/3 + 9*d[17] - 34*d[18] - 
       (8*d[19])/3 - 30*d[20] - (8*d[21])/3 - (8*d[22])/3 - (23*d[23])/3 - 
       (8*d[24])/3)*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v] + 
     ((-37*d[3])/6 + (23*d[4])/2 - (71*d[5])/6 - (151*d[6])/12 - 
       (53*d[7])/6 + (149*d[8])/6 - (41*d[9])/2 + (115*d[10])/6 - 
       (253*d[11])/12 + (151*d[12])/6 - (109*d[13])/6 - (35*d[14])/3 + 
       (65*d[15])/12 - (166*d[16])/3 + (89*d[17])/12 + (115*d[18])/12 + 
       (23*d[19])/6 - (127*d[20])/24 - (55*d[21])/3 - (3*d[22])/2 - 
       (79*d[23])/12 - (245*d[24])/8 + (35*d[26])/12 - (2*d[27])/3 - 
       3*d[28] - d[29] + 8*d[30] - d[31]/6 - d[32]/12 + (16*d[33])/3 - 
       (31*d[34])/6 - (3*d[35])/2 + 19*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + ((41*d[6])/6 + (29*d[7])/6 + 
       (53*d[8])/6 - (65*d[9])/6 + (2*d[10])/3 - (19*d[11])/3 - 7*d[12] + 
       14*d[13] - 4*d[14] - (2*d[15])/3 + 14*d[16] + d[17] + 15*d[18] + 
       (2*d[19])/3 + 22*d[20] + (2*d[21])/3 + (2*d[22])/3 + (17*d[23])/3 - 
       (101*d[24])/6 + d[28] + d[29])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - w] + ((-41*d[6])/6 - (29*d[7])/6 - 
       (53*d[8])/6 + (65*d[9])/6 - (2*d[10])/3 + (19*d[11])/3 + 7*d[12] - 
       14*d[13] + 4*d[14] + (2*d[15])/3 - 14*d[16] - d[17] - 15*d[18] - 
       (2*d[19])/3 - 22*d[20] - (2*d[21])/3 - (2*d[22])/3 - (17*d[23])/3 + 
       (101*d[24])/6 - d[28] - d[29])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - w] + ((10*d[3])/3 + 2*d[4] - (53*d[5])/6 - 
       (7*d[6])/3 + (119*d[7])/12 + (403*d[8])/12 - (95*d[9])/4 + 
       (44*d[10])/3 + (17*d[11])/3 + (163*d[12])/6 + d[13]/3 + (4*d[14])/3 + 
       (38*d[15])/3 - (125*d[16])/6 + (17*d[17])/3 + (46*d[18])/3 - 
       (61*d[19])/6 - (529*d[20])/24 - (61*d[21])/3 - (41*d[22])/2 - 
       (61*d[23])/12 - (129*d[24])/8 + (8*d[26])/3 - (8*d[27])/3 + d[31]/3 + 
       d[32]/6 + (31*d[33])/3 - (32*d[34])/3 - 11*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - w] + (2*d[4] - 6*d[6] + 11*d[12] + 4*d[15] + 
       41*d[17] - 36*d[18] - d[19]/2 + 7*d[21] - 2*d[22] + 2*d[23] + 
       24*d[24])*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u] + 
     (6*d[7] + 6*d[8] - 6*d[9] - 13*d[10] + 6*d[11] + 6*d[12] + 18*d[14] + 
       48*d[20] + 18*d[23] + 18*d[24])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - v] + 4*d[2]*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1}, 1 - w] - 4*d[2]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - w] + (12*d[5] + 48*d[8] - 24*d[9] + 48*d[10] + 
       12*d[11] - 16*d[16] - 48*d[24])*HPL[{0, 0, 0, 0, 1, 1}, 1 - u] + 
     (-8*d[3] + 8*d[4] + 12*d[5] + 4*d[7] - 24*d[8] + 20*d[9] - 24*d[11] - 
       6*d[16] - 8*d[19] - 36*d[21] - 12*d[22] + 6*d[24] - 12*d[34])*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - v] + (3*d[5] + 16*d[8] - 10*d[9] + 
       16*d[10] + 3*d[11] - 16*d[24])*HPL[{0, 0, 0, 1, 0, 1}, 1 - u] + 
     (3*d[5] + 3*d[7] - 10*d[8] + 13*d[9] - 10*d[11] - (3*d[16])/2 - 
       13*d[21] - 3*d[22] + (11*d[24])/2 - 3*d[34])*HPL[{0, 0, 0, 1, 0, 1}, 
       1 - v] + (6*d[5] + 12*d[6] + 18*d[7] + 30*d[8] + 42*d[9] - 30*d[10] + 
       99*d[11] - 48*d[15] - 3*d[16] + 36*d[17] - 108*d[18] + 54*d[19] + 
       48*d[21] + 54*d[22] - 45*d[24] - 6*d[29])*HPL[{0, 0, 0, 1, 1, 1}, 
       1 - u] + (-24*d[3] + 12*d[4] - 12*d[6] - 48*d[7] - 18*d[8] + 36*d[9] + 
       12*d[10] - 36*d[15] + 66*d[16] - 24*d[17] + 96*d[18] + 36*d[19] + 
       36*d[21] + 36*d[22] + 12*d[24] - 6*d[27] + 6*d[29] + 24*d[31] + 
       9*d[32] - 12*d[34])*HPL[{0, 0, 0, 1, 1, 1}, 1 - v] + 
     (2*d[5] + 10*d[6] + 12*d[7] + 16*d[8] + 8*d[9] - 16*d[10] + 40*d[11] - 
       24*d[15] - d[16] + 20*d[17] - 56*d[18] + 26*d[19] + 24*d[21] + 
       26*d[22] - 21*d[24] - 2*d[29])*HPL[{0, 0, 1, 0, 1, 1}, 1 - u] + 
     (-10*d[3] + 4*d[4] - 10*d[6] - 26*d[7] - 11*d[8] + 18*d[9] - 4*d[10] + 
       7*d[11] - 18*d[15] + 23*d[16] - 16*d[17] + 52*d[18] + 18*d[19] + 
       18*d[21] + 18*d[22] + 9*d[24] - 3*d[27] + 2*d[29] + 8*d[31] + 
       3*d[32] - 4*d[34])*HPL[{0, 0, 1, 0, 1, 1}, 1 - v] + 
     (6*d[6] + 6*d[7] + 6*d[8] - 4*d[9] - 6*d[10] + 8*d[11] - 8*d[15] + 
       d[16] + 8*d[17] - 20*d[18] + 8*d[19] + 8*d[21] + 8*d[22] - 5*d[24])*
      HPL[{0, 0, 1, 1, 0, 1}, 1 - u] + (-2*d[3] - 6*d[6] - 10*d[7] - 5*d[8] + 
       6*d[9] - 8*d[10] + 9*d[11] - 6*d[15] + d[16] - 8*d[17] + 20*d[18] + 
       6*d[19] + 6*d[21] + 6*d[22] + 3*d[24] - d[27] + d[32])*
      HPL[{0, 0, 1, 1, 0, 1}, 1 - v] + (8*d[4] + 96*d[6] + 96*d[7] + 
       96*d[8] - 96*d[9] - 108*d[10] + 14*d[11] + 32*d[15] + 154*d[17] - 
       174*d[18] - 24*d[19] + 32*d[21] - 20*d[22] - 96*d[24])*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - u] + (-96*d[6] - 96*d[7] - 96*d[8] + 
       96*d[9] - 92*d[10] + 108*d[11] - 102*d[15] - 154*d[17] + 174*d[18] + 
       108*d[19] + 108*d[21] + 108*d[22] + 96*d[24])*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - v] + (24*d[6] + 24*d[7] + 24*d[8] - 
       24*d[9] - 27*d[10] + (7*d[11])/2 + 8*d[15] + (77*d[17])/2 - 
       (87*d[18])/2 - 8*d[19] + 8*d[21] - 5*d[22] - 24*d[24])*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - u] + (-24*d[6] - 24*d[7] - 24*d[8] + 
       24*d[9] - 23*d[10] + 27*d[11] - (51*d[15])/2 - (77*d[17])/2 + 
       (87*d[18])/2 + 27*d[19] + 27*d[21] + 27*d[22] + 24*d[24])*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - v] + ((-2*d[6])/3 - (2*d[7])/3 + d[8]/3 + 
       (2*d[9])/3 - d[10]/3 + (5*d[11])/3 + 2*d[12] - d[13] + 2*d[14] + 
       d[15]/3 - d[16] - d[17] - d[19]/3 - 4*d[20] - d[21]/3 - d[22]/3 - 
       (4*d[23])/3 - d[24]/3)*HPL[{1}, 1 - u]*M1[u, v, w] + 
     ((2*d[6])/3 + (2*d[7])/3 - d[8]/3 - (2*d[9])/3 + d[10]/3 - (5*d[11])/3 - 
       2*d[12] + d[13] - 2*d[14] - d[15]/3 + d[16] + d[17] + d[19]/3 + 
       4*d[20] + d[21]/3 + d[22]/3 + (4*d[23])/3 + d[24]/3)*HPL[{1}, 1 - v]*
      M1[u, v, w] + (d[2] - (2*d[3])/3 + (8*d[5])/3 - d[6]/3 - d[7]/12 - 
       (71*d[8])/12 + (15*d[9])/4 - (29*d[10])/6 + (5*d[11])/3 - 
       (23*d[12])/6 - (2*d[13])/3 + (4*d[14])/3 - (7*d[15])/3 + 
       (55*d[16])/6 - (4*d[17])/3 - (5*d[18])/3 + (5*d[19])/6 + 
       (65*d[20])/24 + (8*d[21])/3 + (5*d[22])/2 + (17*d[23])/12 + 
       (33*d[24])/8 - d[26]/3 - d[27]/6 + d[31]/3 + d[32]/6 - (5*d[33])/3 + 
       (4*d[34])/3 + d[36])*HPL[{1}, 1 - w]*M1[u, v, w] + 
     (-d[6]/3 - d[7]/3 - d[8]/3 + d[9]/3 + d[10]/3 - (2*d[11])/3 - d[12] - 
       d[14] - d[15]/3 + d[19]/3 + d[20] + d[21]/3 + d[22]/3 + d[23]/3 + 
       d[24]/3)*HPL[{1}, 1 - u]*M1[v, u, w] + 
     (d[6]/3 + d[7]/3 + d[8]/3 - d[9]/3 - d[10]/3 + (2*d[11])/3 + d[12] + 
       d[14] + d[15]/3 - d[19]/3 - d[20] - d[21]/3 - d[22]/3 - d[23]/3 - 
       d[24]/3)*HPL[{1}, 1 - v]*M1[v, u, w] + 
     (-d[2] - d[3]/3 - (2*d[5])/3 + (5*d[6])/6 - (5*d[7])/3 - d[8]/3 + d[9] + 
       (11*d[10])/6 - (8*d[11])/3 - (5*d[12])/3 + (2*d[13])/3 - (4*d[14])/3 - 
       d[15]/6 - (31*d[16])/6 + d[17]/3 - (4*d[18])/3 + (7*d[19])/6 + 
       (17*d[20])/12 + (4*d[21])/3 + (3*d[22])/2 - d[23]/6 - (3*d[24])/4 - 
       d[26]/6 + (2*d[27])/3 - d[31]/3 - d[32]/6 - d[33]/3 + (2*d[34])/3 + 
       2*d[36])*HPL[{1}, 1 - w]*M1[v, u, w] + 
     (-d[6]/3 - d[7]/3 - d[8]/3 + d[9]/3 - (2*d[10])/3 + (4*d[11])/3 + 
       d[12] + d[14] - d[15]/3 - d[17] + d[19]/3 - 3*d[20] - (2*d[21])/3 + 
       (4*d[22])/3 - (2*d[23])/3 + d[24]/3)*HPL[{1}, 1 - u]*M1[v, w, u] + 
     (d[6]/3 + d[7]/3 + d[8]/3 - d[9]/3 + (2*d[10])/3 - (4*d[11])/3 - d[12] - 
       d[14] + d[15]/3 + d[17] - d[19]/3 + 3*d[20] + (2*d[21])/3 - 
       (4*d[22])/3 + (2*d[23])/3 - d[24]/3)*HPL[{1}, 1 - v]*M1[v, w, u] + 
     ((2*d[3])/3 - d[4] + (11*d[5])/6 - d[6]/6 + (13*d[7])/12 - 
       (43*d[8])/12 + (11*d[9])/4 - (13*d[10])/6 + (11*d[11])/6 - 
       (25*d[12])/6 - (4*d[13])/3 + (2*d[14])/3 - (13*d[15])/6 + 
       (19*d[16])/3 - (13*d[17])/6 + (13*d[18])/6 + (7*d[19])/6 + 
       (79*d[20])/24 + (10*d[21])/3 + (3*d[22])/2 + (19*d[23])/12 + 
       (43*d[24])/8 - d[26]/6 - d[27]/3 - d[31]/3 - d[32]/6 - (4*d[33])/3 + 
       (5*d[34])/3 - d[36])*HPL[{1}, 1 - w]*M1[v, w, u] + 
     (2*d[11] + 2*d[12] + d[14] - d[17] - 3*d[20] - d[23])*HPL[{1}, 1 - u]*
      M1[w, u, v] + (-2*d[11] - 2*d[12] - d[14] + d[17] + 3*d[20] + d[23])*
      HPL[{1}, 1 - v]*M1[w, u, v] + (d[3] - 2*d[4] + (3*d[5])/2 + 
       (5*d[6])/2 + (7*d[7])/4 - (9*d[8])/4 + (3*d[9])/4 - 2*d[10] + 
       3*d[11] - (5*d[12])/2 - d[13] + d[15]/2 + 5*d[16] - d[17] - d[18] - 
       2*d[19] + (23*d[20])/8 + 2*d[21] - 2*d[22] + (3*d[23])/4 + 
       (17*d[24])/8 - d[26]/2 - 3*d[36])*HPL[{1}, 1 - w]*M1[w, u, v] + 
     (d[3] + d[6]/3 + d[7]/3 + d[8]/3 - d[9]/3 + (2*d[10])/3 - d[11]/3 - 
       d[12] - d[14] - (2*d[15])/3 + (2*d[19])/3 + d[20] + (2*d[21])/3 + 
       (2*d[22])/3 + (2*d[23])/3 - d[24]/3)*HPL[{1}, 1 - u]*M1[w, v, u] + 
     (-d[3] - d[6]/3 - d[7]/3 - d[8]/3 + d[9]/3 - (2*d[10])/3 + d[11]/3 + 
       d[12] + d[14] + (2*d[15])/3 - (2*d[19])/3 - d[20] - (2*d[21])/3 - 
       (2*d[22])/3 - (2*d[23])/3 + d[24]/3)*HPL[{1}, 1 - v]*M1[w, v, u] + 
     (d[3]/3 - d[4] - (5*d[5])/6 + d[6]/6 - (17*d[7])/6 - (8*d[8])/3 + 
       3*d[9] + (7*d[10])/6 - (5*d[11])/6 + (5*d[12])/3 + d[13]/3 - 
       (2*d[14])/3 - (11*d[15])/6 - (5*d[16])/6 - (5*d[17])/6 - 
       (13*d[18])/6 + (4*d[19])/3 + (25*d[20])/12 + (5*d[21])/3 + d[22] - 
       (17*d[23])/6 - (13*d[24])/4 + d[26]/6 + (5*d[27])/6 - (2*d[31])/3 - 
       d[32]/3 + d[33]/3 + d[34]/3 - 2*d[36])*HPL[{1}, 1 - w]*M1[w, v, u] + 
     (d[6]/3 + d[7]/3 + d[8]/3 - d[9]/3 - d[10]/3 - d[11]/3 + d[15]/3 + 
       d[18] - d[19]/3 - d[21]/3 - d[22]/3 - d[23]/3 - d[24]/3)*
      HPL[{1}, 1 - u]*Nt[u, v, w] + (-d[6]/3 - d[7]/3 - d[8]/3 + d[9]/3 + 
       d[10]/3 + d[11]/3 - d[15]/3 - d[18] + d[19]/3 + d[21]/3 + d[22]/3 + 
       d[23]/3 + d[24]/3)*HPL[{1}, 1 - v]*Nt[u, v, w] + 
     ((-2*d[3])/3 + d[4] + d[5]/6 - (5*d[6])/6 + (7*d[7])/6 + (7*d[8])/3 - 
       d[9] + (2*d[10])/3 - d[11]/3 - d[12]/3 + d[13]/3 + d[14]/3 - d[15]/3 - 
       (11*d[16])/6 - d[17]/3 + (4*d[18])/3 + (5*d[19])/6 - (5*d[20])/12 - 
       d[21]/3 + d[22]/2 + (7*d[23])/6 - (3*d[24])/4 + d[26]/6 - d[27]/6 + 
       d[31]/3 + d[32]/6 + d[33]/3 - (2*d[34])/3 + d[36])*HPL[{1}, 1 - w]*
      Nt[u, v, w] + ((-2*d[6])/3 - (2*d[7])/3 - (2*d[8])/3 + (2*d[9])/3 + 
       (8*d[10])/3 + (2*d[11])/3 - 2*d[14] - (2*d[15])/3 - 2*d[18] + 
       (2*d[19])/3 + 2*d[20] + (2*d[21])/3 + (2*d[22])/3 + (2*d[23])/3 + 
       (2*d[24])/3)*HPL[{1}, 1 - u]^2*Omega2[u, v, w] + 
     ((-2*d[6])/3 - (2*d[7])/3 - (2*d[8])/3 + (2*d[9])/3 - (10*d[10])/3 + 
       (8*d[11])/3 + 2*d[12] + 4*d[14] - (2*d[15])/3 - 2*d[17] + 
       (2*d[19])/3 - 8*d[20] + (2*d[21])/3 + (2*d[22])/3 - (4*d[23])/3 + 
       (2*d[24])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[u, v, w] + 
     ((4*d[6])/3 + (4*d[7])/3 + (4*d[8])/3 - (4*d[9])/3 + (2*d[10])/3 - 
       (10*d[11])/3 - 2*d[12] - 2*d[14] + (4*d[15])/3 + 2*d[17] + 2*d[18] - 
       (4*d[19])/3 + 6*d[20] - (4*d[21])/3 - (4*d[22])/3 + (2*d[23])/3 - 
       (4*d[24])/3)*HPL[{1}, 1 - v]^2*Omega2[u, v, w] + 
     ((4*d[3])/3 - 2*d[4] - (13*d[5])/3 + (7*d[6])/3 - (5*d[7])/3 - d[8] - 
       (8*d[9])/3 + 2*d[10] - 3*d[11] + (2*d[12])/3 + (4*d[13])/3 - 
       (8*d[14])/3 + (4*d[15])/3 - (22*d[16])/3 + (2*d[17])/3 - (2*d[18])/3 - 
       (4*d[19])/3 + (17*d[20])/6 + 2*d[21] - (8*d[22])/3 - 3*d[23] - 
       (25*d[24])/6 - d[26]/3 + (4*d[27])/3 - (2*d[31])/3 - d[32]/3 + 
       (4*d[33])/3 - (2*d[34])/3 - 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Omega2[u, v, w] + ((8*d[3])/3 - 4*d[4] + (10*d[5])/3 - (4*d[6])/3 - 
       (5*d[7])/6 - (25*d[8])/2 + (49*d[9])/6 - 6*d[10] + 4*d[11] - 
       (23*d[12])/3 - (10*d[13])/3 + (2*d[14])/3 - (16*d[15])/3 + 
       (55*d[16])/3 - (14*d[17])/3 - (4*d[18])/3 + (7*d[19])/3 + 
       (89*d[20])/12 + 6*d[21] + (17*d[22])/3 + (7*d[23])/2 + 
       (167*d[24])/12 - (2*d[26])/3 - d[27]/3 - (4*d[31])/3 - (2*d[32])/3 - 
       (10*d[33])/3 + (14*d[34])/3 - 4*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Omega2[u, v, w] + ((-4*d[3])/3 + 2*d[4] + d[5]/3 - (5*d[6])/3 + 
       (7*d[7])/3 + (14*d[8])/3 - 2*d[9] + (4*d[10])/3 - (2*d[11])/3 - 
       (2*d[12])/3 + (2*d[13])/3 + (2*d[14])/3 - (2*d[15])/3 - (11*d[16])/3 - 
       (2*d[17])/3 + (8*d[18])/3 + (5*d[19])/3 - (5*d[20])/6 - (2*d[21])/3 + 
       d[22] + (7*d[23])/3 - (3*d[24])/2 + d[26]/3 - d[27]/3 + (2*d[31])/3 + 
       d[32]/3 + (2*d[33])/3 - (4*d[34])/3 + 2*d[36])*HPL[{1}, 1 - w]^2*
      Omega2[u, v, w] + ((2*d[6])/3 + (2*d[7])/3 + (2*d[8])/3 - (2*d[9])/3 - 
       (2*d[10])/3 - (2*d[11])/3 + (2*d[15])/3 + 2*d[18] - (2*d[19])/3 - 
       (2*d[21])/3 - (2*d[22])/3 - (2*d[23])/3 - (2*d[24])/3)*
      HPL[{1}, 1 - u]^2*Omega2[v, w, u] + 
     (-2*d[6] - 2*d[7] - 2*d[8] + 2*d[9] + 2*d[10] - 2*d[12] - 2*d[14] - 
       2*d[15] - 4*d[18] + 2*d[19] + 2*d[20] + 2*d[21] + 2*d[22] + 2*d[23] + 
       2*d[24])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[v, w, u] + 
     ((4*d[6])/3 + (4*d[7])/3 + (4*d[8])/3 - (4*d[9])/3 - (4*d[10])/3 + 
       (2*d[11])/3 + 2*d[12] + 2*d[14] + (4*d[15])/3 + 2*d[18] - 
       (4*d[19])/3 - 2*d[20] - (4*d[21])/3 - (4*d[22])/3 - (4*d[23])/3 - 
       (4*d[24])/3)*HPL[{1}, 1 - v]^2*Omega2[v, w, u] + 
     ((-4*d[3])/3 + 2*d[4] + d[5]/3 - (7*d[6])/3 + (5*d[7])/3 + 4*d[8] - 
       (4*d[9])/3 + 2*d[10] + 4*d[11] + (10*d[12])/3 + (2*d[13])/3 + 
       (8*d[14])/3 - (4*d[15])/3 - (11*d[16])/3 - (8*d[17])/3 + (2*d[18])/3 + 
       (7*d[19])/3 - (41*d[20])/6 + (5*d[22])/3 + d[23] - (5*d[24])/6 + 
       d[26]/3 - d[27]/3 + (2*d[31])/3 + d[32]/3 + (2*d[33])/3 - 
       (4*d[34])/3 + 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Omega2[v, w, u] + ((2*d[3])/3 - 2*d[4] - (5*d[5])/3 + d[6] - 5*d[7] - 
       (14*d[8])/3 + (10*d[9])/3 + (2*d[10])/3 - (31*d[11])/3 - 
       (20*d[12])/3 + (2*d[13])/3 - (10*d[14])/3 + d[15] - (14*d[16])/3 + 
       (7*d[17])/3 - (13*d[18])/3 + (23*d[20])/3 - (4*d[21])/3 + 
       (4*d[22])/3 - (4*d[23])/3 - (8*d[24])/3 + d[26]/3 + (5*d[27])/3 - 
       (4*d[31])/3 - (2*d[32])/3 - (4*d[33])/3 + (8*d[34])/3 + 2*d[36])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[v, w, u] + 
     ((10*d[3])/3 - 4*d[4] + (2*d[5])/3 + (2*d[6])/3 + (19*d[7])/6 - 
       (49*d[8])/6 + (3*d[9])/2 - (16*d[10])/3 + (20*d[11])/3 - 
       (13*d[12])/3 - (8*d[13])/3 - (2*d[14])/3 - (13*d[15])/3 + 
       (47*d[16])/3 - (13*d[17])/3 + (13*d[18])/3 + d[19]/3 + 
       (103*d[20])/12 + (26*d[21])/3 + d[22] + (19*d[23])/6 + (47*d[24])/4 - 
       (4*d[26])/3 - (2*d[27])/3 - (2*d[31])/3 - d[32]/3 - (2*d[33])/3 + 
       (4*d[34])/3 - 8*d[36])*HPL[{1}, 1 - w]^2*Omega2[v, w, u] + 
     (-2*d[6] - 2*d[7] - 2*d[8] + 2*d[9] + 4*d[11] + 4*d[12] + 2*d[14] - 
       2*d[17] - 2*d[18] - 6*d[20] - 2*d[23] + 2*d[24])*HPL[{1}, 1 - u]^2*
      Omega2[w, u, v] + ((8*d[6])/3 + (8*d[7])/3 + (8*d[8])/3 - (8*d[9])/3 - 
       (2*d[10])/3 - (14*d[11])/3 - 4*d[12] - 2*d[14] + (2*d[15])/3 + 
       2*d[17] + 4*d[18] - (2*d[19])/3 + 6*d[20] - (2*d[21])/3 - 
       (2*d[22])/3 + (4*d[23])/3 - (8*d[24])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*Omega2[w, u, v] + ((-2*d[6])/3 - (2*d[7])/3 - 
       (2*d[8])/3 + (2*d[9])/3 + (2*d[10])/3 + (2*d[11])/3 - (2*d[15])/3 - 
       2*d[18] + (2*d[19])/3 + (2*d[21])/3 + (2*d[22])/3 + (2*d[23])/3 + 
       (2*d[24])/3)*HPL[{1}, 1 - v]^2*Omega2[w, u, v] + 
     (-2*d[4] + 2*d[5] + d[6] - (3*d[7])/2 - (21*d[8])/2 + (7*d[9])/2 - 
       2*d[10] + d[11] - 9*d[12] - 2*d[13] - 2*d[14] - 6*d[15] + 7*d[16] - 
       2*d[17] - 8*d[18] + 5*d[19] + (41*d[20])/4 + 10*d[21] + 7*d[22] + 
       (5*d[23])/2 + (3*d[24])/4 - d[26] + d[27] - 2*d[33] + 2*d[34])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[w, u, v] + 
     ((-4*d[3])/3 + 2*d[4] + d[5]/3 - (5*d[6])/3 + (7*d[7])/3 + (14*d[8])/3 - 
       2*d[9] - (2*d[10])/3 - (2*d[11])/3 + (4*d[12])/3 + (2*d[13])/3 + 
       (8*d[14])/3 + (4*d[15])/3 - (11*d[16])/3 - (2*d[17])/3 + 
       (14*d[18])/3 - d[19]/3 - (17*d[20])/6 - (8*d[21])/3 - d[22] + 
       d[23]/3 - (3*d[24])/2 + d[26]/3 - d[27]/3 + (2*d[31])/3 + d[32]/3 + 
       (2*d[33])/3 - (4*d[34])/3 + 2*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Omega2[w, u, v] + (4*d[3] - 4*d[4] - 3*d[5] - d[7] - 3*d[8] + 2*d[9] - 
       2*d[14] + 4*d[16] - 2*d[17] + 4*d[18] - 2*d[19] + 2*d[20] - 2*d[22] + 
       9*d[24] - 2*d[31] - d[32] + 2*d[34] - 6*d[36])*HPL[{1}, 1 - w]^2*
      Omega2[w, u, v] + ((4*d[6])/3 + (4*d[7])/3 + (4*d[8])/3 - (4*d[9])/3 - 
       (4*d[10])/3 - (7*d[11])/3 - d[12] + (4*d[15])/3 + d[17] + 2*d[18] - 
       (4*d[19])/3 + 2*d[20] - (4*d[21])/3 - (4*d[22])/3 - d[23]/3 - 
       (4*d[24])/3)*HPL[{1}, 1 - u]*Ot[u, v, w] + 
     ((-4*d[6])/3 - (4*d[7])/3 - (4*d[8])/3 + (4*d[9])/3 + (4*d[10])/3 + 
       (7*d[11])/3 + d[12] - (4*d[15])/3 - d[17] - 2*d[18] + (4*d[19])/3 - 
       2*d[20] + (4*d[21])/3 + (4*d[22])/3 + d[23]/3 + (4*d[24])/3)*
      HPL[{1}, 1 - v]*Ot[u, v, w] + ((-2*d[3])/3 + 2*d[4] - (5*d[5])/6 - 
       d[6]/3 + (35*d[7])/12 + (103*d[8])/12 - (19*d[9])/4 + (8*d[10])/3 + 
       (5*d[11])/3 + (31*d[12])/6 + d[13]/3 + (4*d[14])/3 + (8*d[15])/3 - 
       (29*d[16])/6 + (5*d[17])/3 + (10*d[18])/3 - (13*d[19])/6 - 
       (133*d[20])/24 - (13*d[21])/3 - (9*d[22])/2 - d[23]/12 - 
       (21*d[24])/8 + (2*d[26])/3 - (2*d[27])/3 + d[31]/3 + d[32]/6 + 
       (7*d[33])/3 - (8*d[34])/3 + d[36])*HPL[{1}, 1 - w]*Ot[u, v, w] + 
     ((-128*d[6])/9 - (128*d[7])/9 - (128*d[8])/9 + (128*d[9])/9 + 
       (128*d[10])/9 - (160*d[11])/9 - 32*d[12] - (64*d[14])/3 - 
       (128*d[15])/9 - (64*d[18])/3 + (128*d[19])/9 + (128*d[20])/3 + 
       (128*d[21])/9 + (128*d[22])/9 + (224*d[23])/9 + (128*d[24])/9)*
      HPL[{1}, 1 - u]*Qep[u, v, w] + ((128*d[6])/9 + (128*d[7])/9 + 
       (128*d[8])/9 - (128*d[9])/9 - (128*d[10])/9 + (160*d[11])/9 + 
       32*d[12] + (64*d[14])/3 + (128*d[15])/9 + (64*d[18])/3 - 
       (128*d[19])/9 - (128*d[20])/3 - (128*d[21])/9 - (128*d[22])/9 - 
       (224*d[23])/9 - (128*d[24])/9)*HPL[{1}, 1 - v]*Qep[u, v, w] + 
     ((64*d[3])/9 - (64*d[4])/3 - (160*d[5])/9 - (64*d[6])/9 - (568*d[7])/9 - 
       (344*d[8])/9 + 24*d[9] + (128*d[10])/9 - (496*d[11])/9 - 
       (352*d[12])/9 + (64*d[13])/9 - (128*d[14])/9 - (64*d[15])/9 - 
       (448*d[16])/9 - (64*d[17])/9 - (320*d[18])/9 + (160*d[19])/9 + 
       (172*d[20])/9 + (32*d[21])/9 + 32*d[22] - (40*d[23])/9 - 44*d[24] + 
       (32*d[26])/9 + (160*d[27])/9 - (128*d[31])/9 - (64*d[32])/9 - 
       (128*d[33])/9 + (256*d[34])/9 + (64*d[36])/3)*HPL[{1}, 1 - w]*
      Qep[u, v, w] + ((-64*d[6])/9 - (64*d[7])/9 - (64*d[8])/9 + 
       (64*d[9])/9 + (64*d[10])/9 + (352*d[11])/9 + 32*d[12] + (64*d[14])/3 - 
       (64*d[15])/9 - 32*d[17] - (32*d[18])/3 + (64*d[19])/9 - 
       (128*d[20])/3 + (64*d[21])/9 + (64*d[22])/9 - (32*d[23])/9 + 
       (64*d[24])/9)*HPL[{1}, 1 - u]*Qep[u, w, v] + 
     ((64*d[6])/9 + (64*d[7])/9 + (64*d[8])/9 - (64*d[9])/9 - (64*d[10])/9 - 
       (352*d[11])/9 - 32*d[12] - (64*d[14])/3 + (64*d[15])/9 + 32*d[17] + 
       (32*d[18])/3 - (64*d[19])/9 + (128*d[20])/3 - (64*d[21])/9 - 
       (64*d[22])/9 + (32*d[23])/9 - (64*d[24])/9)*HPL[{1}, 1 - v]*
      Qep[u, w, v] + ((320*d[3])/9 - (128*d[4])/3 + (64*d[5])/9 - 
       (32*d[6])/9 + (184*d[7])/9 - (712*d[8])/9 + 8*d[9] - (512*d[10])/9 + 
       (688*d[11])/9 - (608*d[12])/9 - (256*d[13])/9 - (64*d[14])/9 - 
       (608*d[15])/9 + (1504*d[16])/9 - (608*d[17])/9 + (416*d[18])/9 + 
       (224*d[19])/9 + (824*d[20])/9 + (1024*d[21])/9 + 32*d[22] + 
       (304*d[23])/9 + 32*d[24] - (128*d[26])/9 - (64*d[27])/9 - 
       (64*d[31])/9 - (32*d[32])/9 - (64*d[33])/9 + (128*d[34])/9 - 
       (256*d[36])/3)*HPL[{1}, 1 - w]*Qep[u, w, v] + 
     ((-64*d[6])/3 - (64*d[7])/3 - (64*d[8])/3 + (64*d[9])/3 + 
       (128*d[11])/3 + (128*d[12])/3 + (64*d[14])/3 - (32*d[17])/3 - 
       32*d[18] - 64*d[20] - (64*d[23])/3 + (64*d[24])/3)*HPL[{1}, 1 - u]*
      Qep[v, u, w] + ((64*d[6])/3 + (64*d[7])/3 + (64*d[8])/3 - (64*d[9])/3 - 
       (128*d[11])/3 - (128*d[12])/3 - (64*d[14])/3 + (32*d[17])/3 + 
       32*d[18] + 64*d[20] + (64*d[23])/3 - (64*d[24])/3)*HPL[{1}, 1 - v]*
      Qep[v, u, w] + ((-64*d[4])/3 + (64*d[5])/3 + (32*d[6])/3 - 
       (16*d[7])/3 - (304*d[8])/3 + (80*d[9])/3 - (128*d[10])/3 + 
       (32*d[11])/3 - 64*d[12] - (64*d[13])/3 - 32*d[15] + (224*d[16])/3 - 
       (32*d[17])/3 - 32*d[18] + (64*d[19])/3 + (268*d[20])/3 + 
       (224*d[21])/3 + (128*d[22])/3 + (88*d[23])/3 + (236*d[24])/3 - 
       (32*d[26])/3 + (32*d[27])/3 - (64*d[33])/3 + (64*d[34])/3)*
      HPL[{1}, 1 - w]*Qep[v, u, w] + ((64*d[10])/3 + (32*d[11])/3 - 
       (32*d[12])/3 - (64*d[14])/3 - (64*d[15])/3 + (32*d[17])/3 - 32*d[18] + 
       (64*d[19])/3 + (64*d[21])/3 + (64*d[22])/3 + (32*d[23])/3)*
      HPL[{1}, 1 - u]*Qep[v, w, u] + ((-64*d[10])/3 - (32*d[11])/3 + 
       (32*d[12])/3 + (64*d[14])/3 + (64*d[15])/3 - (32*d[17])/3 + 32*d[18] - 
       (64*d[19])/3 - (64*d[21])/3 - (64*d[22])/3 - (32*d[23])/3)*
      HPL[{1}, 1 - v]*Qep[v, w, u] + ((128*d[3])/3 - (128*d[4])/3 - 32*d[5] + 
       (32*d[6])/3 + (8*d[7])/3 - 40*d[8] + (88*d[9])/3 - (16*d[11])/3 + 
       (64*d[12])/3 - (64*d[14])/3 + (64*d[15])/3 + (128*d[16])/3 + 
       (128*d[18])/3 - (128*d[19])/3 + (64*d[20])/3 - (64*d[21])/3 - 
       (128*d[22])/3 + (568*d[24])/3 - (64*d[31])/3 - (32*d[32])/3 + 
       (64*d[34])/3 - 64*d[36])*HPL[{1}, 1 - w]*Qep[v, w, u] + 
     ((-64*d[6])/9 - (64*d[7])/9 - (64*d[8])/9 + (64*d[9])/9 + 
       (256*d[10])/9 + (64*d[11])/9 - (64*d[14])/3 - (64*d[15])/9 - 
       (32*d[17])/3 - (32*d[18])/3 + (64*d[19])/9 + (64*d[20])/3 + 
       (64*d[21])/9 + (64*d[22])/9 + (64*d[23])/9 + (64*d[24])/9)*
      HPL[{1}, 1 - u]*Qep[w, u, v] + ((64*d[6])/9 + (64*d[7])/9 + 
       (64*d[8])/9 - (64*d[9])/9 - (256*d[10])/9 - (64*d[11])/9 + 
       (64*d[14])/3 + (64*d[15])/9 + (32*d[17])/3 + (32*d[18])/3 - 
       (64*d[19])/9 - (64*d[20])/3 - (64*d[21])/9 - (64*d[22])/9 - 
       (64*d[23])/9 - (64*d[24])/9)*HPL[{1}, 1 - v]*Qep[w, u, v] + 
     ((128*d[3])/9 - (64*d[4])/3 - (416*d[5])/9 + (160*d[6])/9 - 
       (320*d[7])/9 - (256*d[8])/9 - (32*d[9])/3 + (256*d[10])/9 - 
       (224*d[11])/9 - (32*d[12])/9 + (128*d[13])/9 - (256*d[14])/9 - 
       (32*d[15])/9 - (704*d[16])/9 - (32*d[17])/9 - (544*d[18])/9 + 
       (32*d[19])/9 + (260*d[20])/9 + (352*d[21])/9 - (32*d[22])/3 - 
       (440*d[23])/9 - 108*d[24] - (32*d[26])/9 + (128*d[27])/9 - 
       (64*d[31])/9 - (32*d[32])/9 + (128*d[33])/9 - (64*d[34])/9 - 
       (64*d[36])/3)*HPL[{1}, 1 - w]*Qep[w, u, v] + 
     ((-128*d[6])/9 - (128*d[7])/9 - (128*d[8])/9 + (128*d[9])/9 - 
       (64*d[10])/9 + (416*d[11])/9 + 32*d[12] + (64*d[14])/3 - 
       (128*d[15])/9 - (64*d[17])/3 - (64*d[18])/3 + (128*d[19])/9 - 
       (256*d[20])/3 + (128*d[21])/9 + (128*d[22])/9 - (160*d[23])/9 + 
       (128*d[24])/9)*HPL[{1}, 1 - u]*Qep[w, v, u] + 
     ((128*d[6])/9 + (128*d[7])/9 + (128*d[8])/9 - (128*d[9])/9 + 
       (64*d[10])/9 - (416*d[11])/9 - 32*d[12] - (64*d[14])/3 + 
       (128*d[15])/9 + (64*d[17])/3 + (64*d[18])/3 - (128*d[19])/9 + 
       (256*d[20])/3 - (128*d[21])/9 - (128*d[22])/9 + (160*d[23])/9 - 
       (128*d[24])/9)*HPL[{1}, 1 - v]*Qep[w, v, u] + 
     ((256*d[3])/9 - (128*d[4])/3 + (320*d[5])/9 + (32*d[6])/9 + (8*d[7])/9 - 
       (1304*d[8])/9 + (296*d[9])/3 - (640*d[10])/9 + (272*d[11])/9 - 
       (640*d[12])/9 - (320*d[13])/9 + (64*d[14])/9 - (352*d[15])/9 + 
       (1760*d[16])/9 - (352*d[17])/9 - (224*d[18])/9 + (64*d[19])/9 + 
       (700*d[20])/9 + (416*d[21])/9 + (128*d[22])/3 + (56*d[23])/9 + 
       164*d[24] - (64*d[26])/9 - (32*d[27])/9 - (128*d[31])/9 - 
       (64*d[32])/9 - (320*d[33])/9 + (448*d[34])/9 - (128*d[36])/3)*
      HPL[{1}, 1 - w]*Qep[w, v, u] + ((2*d[6])/3 + (2*d[7])/3 + (2*d[8])/3 - 
       (2*d[9])/3 - (2*d[10])/3 - (7*d[11])/6 - d[12] + d[15]/6 + d[17]/2 + 
       d[18] - d[19]/6 + d[20] - d[21]/6 - d[22]/6 + d[23]/3 - (2*d[24])/3)*
      HPL[{1}, 1 - u]^4*\[Zeta][2] + (d[3] - (2*d[6])/3 - (2*d[7])/3 - 
       (2*d[8])/3 + (2*d[9])/3 - d[10]/3 + (7*d[11])/6 + d[12] - d[15]/6 + 
       (3*d[17])/2 - 3*d[18] + d[19]/6 - d[20] + d[21]/6 + d[22]/6 - 
       d[23]/3 + (2*d[24])/3)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*\[Zeta][2] + 
     ((-3*d[3])/2 + d[10]/2 - 2*d[11] - 2*d[12] - 2*d[17] + 2*d[18] + 
       (29*d[20])/4 + (7*d[23])/2 + d[24]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*\[Zeta][2] + ((2*d[6])/3 + (2*d[7])/3 + (2*d[8])/3 - 
       (2*d[9])/3 - d[10]/6 + (4*d[11])/3 + 2*d[12] + (2*d[15])/3 + d[17]/2 + 
       d[18] - (2*d[19])/3 - (19*d[20])/2 - (2*d[21])/3 - (2*d[22])/3 - 
       (31*d[23])/6 - (5*d[24])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      \[Zeta][2] + ((-2*d[6])/3 - (2*d[7])/3 - (2*d[8])/3 + (2*d[9])/3 + 
       d[10]/6 + (2*d[11])/3 - (2*d[15])/3 - d[17]/2 - d[18] + (2*d[19])/3 + 
       (9*d[20])/4 + (2*d[21])/3 + (2*d[22])/3 + (5*d[23])/3 + (7*d[24])/6)*
      HPL[{1}, 1 - v]^4*\[Zeta][2] + ((5*d[3])/3 + d[4] + (7*d[5])/12 - 
       (2*d[6])/3 + (23*d[7])/24 + (73*d[8])/24 - (3*d[9])/8 + d[10]/3 - 
       (5*d[11])/3 - (5*d[12])/12 + d[13]/6 + (2*d[14])/3 - d[15]/6 + 
       d[16]/12 + d[17]/3 + (37*d[18])/6 + (5*d[19])/12 - (37*d[20])/48 - 
       (5*d[21])/3 + d[22]/4 + (11*d[23])/24 - (25*d[24])/16 + d[26]/3 - 
       (7*d[27])/12 + d[31]/6 + d[32]/12 + d[33]/6 - d[34]/3 + d[36]/2)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (-10*d[3] + 8*d[4] + 6*d[5] + (2*d[6])/3 - (23*d[7])/6 + (25*d[8])/6 + 
       (11*d[9])/6 + d[10]/3 - (14*d[11])/3 + 2*d[12] + 4*d[13] + 
       (11*d[15])/3 - 12*d[16] + 3*d[17] - 7*d[18] + (7*d[19])/3 - 9*d[20] - 
       (14*d[21])/3 + (13*d[22])/3 - (2*d[23])/3 - (32*d[24])/3 + 4*d[31] + 
       2*d[32] - 4*d[33] + 12*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*\[Zeta][2] + (-8*d[3] + 8*d[4] + 10*d[5] - (8*d[6])/3 - 
       (31*d[7])/6 - d[8]/6 + (43*d[9])/6 - (10*d[10])/3 - (22*d[11])/3 - 
       4*d[12] + 2*d[13] + 2*d[14] - (5*d[15])/3 + d[16] + 8*d[17] - 
       2*d[18] + (20*d[19])/3 - 5*d[20] - (13*d[21])/3 + (38*d[22])/3 + 
       (5*d[23])/3 - (73*d[24])/12 - d[27] + 4*d[31] + 2*d[32] - 6*d[33] + 
       2*d[34] + 12*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      \[Zeta][2] + ((-5*d[3])/6 + (3*d[4])/2 - (5*d[5])/12 + d[6]/12 + 
       (35*d[7])/24 + (103*d[8])/24 - (23*d[9])/8 + (4*d[10])/3 + 
       (7*d[11])/12 + (31*d[12])/12 + (2*d[13])/3 + d[14]/6 + (13*d[15])/12 - 
       (41*d[16])/12 - (11*d[17])/12 - (7*d[18])/12 - (7*d[19])/12 - 
       (109*d[20])/48 - (7*d[21])/6 - (7*d[22])/4 + (11*d[23])/24 - 
       (77*d[24])/16 + d[26]/12 - d[27]/3 + (2*d[31])/3 + d[32]/3 + 
       (7*d[33])/6 - (11*d[34])/6 + d[36]/2)*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*\[Zeta][2] + (-10*d[3] + 8*d[4] + 7*d[5] - 
       (27*d[7])/2 - (7*d[8])/2 + (21*d[9])/2 + d[10] - 12*d[11] - 2*d[12] + 
       2*d[13] + 2*d[14] - 8*d[15] - 14*d[16] + 3*d[17] - 17*d[18] + 
       14*d[19] + (13*d[20])/8 + 5*d[21] + 18*d[22] - (21*d[23])/2 - 
       (387*d[24])/8 + 2*d[27] + 4*d[31] + 2*d[32] - 4*d[33] + 12*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     ((20*d[3])/3 - 6*d[4] - (17*d[5])/3 - (5*d[6])/3 + (53*d[7])/6 + 
       (7*d[8])/6 - (13*d[9])/2 + (4*d[10])/3 + (31*d[11])/3 + d[12]/3 - 
       (4*d[13])/3 - (4*d[14])/3 - (14*d[15])/3 + (25*d[16])/3 - 
       (14*d[17])/3 + (32*d[18])/3 - d[19]/3 + (37*d[20])/6 + (22*d[21])/3 - 
       5*d[22] + (11*d[23])/6 + 15*d[24] + d[26]/3 - d[27]/3 - (10*d[31])/3 - 
       (5*d[32])/3 + (14*d[33])/3 - (4*d[34])/3 - 10*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     (-8*d[3] + 6*d[4] + 8*d[5] + 6*d[6] - 6*d[7] - d[8] + 8*d[9] - 
       10*d[11] + 4*d[13] + 6*d[15] - 12*d[16] + 7*d[17] - 21*d[18] - 
       6*d[20] - 8*d[21] + 4*d[22] - (29*d[23])/4 - 19*d[24] + d[27] + 
       4*d[31] + 2*d[32] - 4*d[33] + 12*d[36])*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*\[Zeta][2] + (2*d[2] - 8*d[3] + 8*d[4] + 9*d[5] - 
       (11*d[6])/6 - (22*d[7])/3 - (13*d[8])/3 + (31*d[9])/3 - (23*d[10])/3 - 
       (43*d[11])/6 - (9*d[12])/2 + 4*d[13] + d[14] - (4*d[15])/3 + 5*d[16] + 
       (5*d[17])/2 - 9*d[18] + (13*d[19])/3 - (25*d[20])/4 - (14*d[21])/3 + 
       (31*d[22])/3 - (8*d[23])/3 - (203*d[24])/12 - d[27] + 4*d[31] + 
       2*d[32] - 6*d[33] + 2*d[34] + 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^3*\[Zeta][2] + (-2*d[2] - 8*d[3] + 8*d[4] + 6*d[5] + 
       (17*d[6])/6 - (25*d[7])/6 - d[8]/6 + (37*d[9])/6 + (5*d[10])/3 - 
       (47*d[11])/6 + d[12]/2 + 4*d[13] - 2*d[14] + (4*d[15])/3 - 12*d[16] + 
       (13*d[17])/2 - 10*d[18] + (14*d[19])/3 - (17*d[20])/4 - (4*d[21])/3 + 
       (26*d[22])/3 - (7*d[23])/3 - (73*d[24])/12 - d[26] + 4*d[31] + 
       2*d[32] - 4*d[33] + 12*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      \[Zeta][2] + ((-11*d[3])/6 + 2*d[4] + (7*d[5])/12 - d[6]/6 - 
       (13*d[7])/24 + (67*d[8])/24 - (7*d[9])/8 + (4*d[10])/3 - (5*d[11])/3 + 
       (13*d[12])/12 + (2*d[13])/3 + (2*d[14])/3 + (13*d[15])/12 - 
       (59*d[16])/12 + (19*d[17])/12 - (25*d[18])/12 + (5*d[19])/12 - 
       (127*d[20])/48 - (13*d[21])/6 + d[22]/4 - (19*d[23])/24 - 
       (83*d[24])/16 + d[26]/3 + d[27]/6 + (2*d[31])/3 + d[32]/3 + d[33]/6 - 
       (5*d[34])/6 + (7*d[36])/2)*HPL[{1}, 1 - w]^4*\[Zeta][2] + 
     (2*d[3] - d[4] + (10*d[6])/3 + (10*d[7])/3 + (10*d[8])/3 - (10*d[9])/3 - 
       (19*d[10])/3 - (10*d[11])/3 - 4*d[12] + (17*d[15])/6 - 4*d[17] + 
       (19*d[18])/2 - (11*d[19])/6 + (25*d[20])/4 - (23*d[21])/6 + d[22]/6 + 
       d[23]/6 - (121*d[24])/12)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + (-2*d[3] + 10*d[4] - d[5] - (2*d[6])/3 + d[7]/3 + d[8]/3 - 
       (10*d[9])/3 - (25*d[10])/3 - (53*d[11])/6 + 13*d[12] + 6*d[14] - 
       (19*d[15])/6 + d[16] - (7*d[17])/2 + (19*d[19])/6 - (17*d[20])/2 - 
       (23*d[21])/6 + (7*d[22])/6 - (16*d[23])/3 - (29*d[24])/6 - 2*d[27] - 
       2*d[32])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + (-d[4] + d[6]/3 + (4*d[7])/3 - d[8]/6 + (5*d[9])/3 + 
       (20*d[10])/3 - (13*d[11])/3 - 9*d[12] - 6*d[14] - (5*d[15])/3 + 
       2*d[16] + (15*d[17])/2 - (15*d[18])/2 + (2*d[19])/3 + (19*d[20])/4 + 
       (8*d[21])/3 + (2*d[22])/3 + (13*d[23])/6 + (113*d[24])/12 + d[27]/2)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     ((-11*d[3])/3 + 5*d[4] + (47*d[5])/12 + (2*d[6])/3 + (91*d[7])/24 + 
       (341*d[8])/24 - (15*d[9])/8 + (17*d[10])/3 - (31*d[11])/3 - 
       (97*d[12])/12 + (5*d[13])/6 - (14*d[14])/3 + d[15]/6 - (43*d[16])/12 - 
       d[17]/3 + (89*d[18])/6 + (13*d[19])/12 + (571*d[20])/48 - 
       (16*d[21])/3 - (7*d[22])/4 + (187*d[23])/24 - (189*d[24])/16 + 
       (5*d[26])/3 - (11*d[27])/12 + (5*d[31])/6 + (5*d[32])/12 + 
       (5*d[33])/6 - (5*d[34])/3 + (5*d[36])/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     ((-10*d[3])/3 + 2*d[4] + (43*d[5])/3 - (2*d[6])/3 + (53*d[7])/6 + 
       (7*d[8])/6 + (11*d[9])/2 - (38*d[10])/3 + (76*d[11])/3 + 
       (25*d[12])/3 - (16*d[13])/3 + (44*d[14])/3 + (13*d[15])/3 + 
       (70*d[16])/3 + (4*d[17])/3 + (2*d[18])/3 - (19*d[19])/3 - 
       (319*d[20])/12 - (14*d[21])/3 - 3*d[22] + (29*d[23])/6 + 
       (137*d[24])/4 - (2*d[26])/3 - (7*d[27])/3 + (8*d[31])/3 + 
       (4*d[32])/3 - (10*d[33])/3 + (2*d[34])/3 + 2*d[36])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (-2*d[2] - 2*d[3] + 6*d[4] - 9*d[5] + 2*d[6] - (13*d[7])/2 + 
       (47*d[8])/2 - (13*d[9])/2 + 17*d[10] - 10*d[11] + 15*d[12] + 8*d[13] - 
       4*d[14] + 3*d[15] - 39*d[16] + 6*d[17] - 6*d[18] + 3*d[19] - 
       17*d[20] - 8*d[21] - 3*d[22] - 20*d[23] - (105*d[24])/2 + 2*d[26] + 
       6*d[33] - 6*d[34] + 6*d[36])*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + (2*d[3] - 2*d[4] - (11*d[5])/2 + 3*d[6] + (3*d[7])/2 - 
       (19*d[8])/2 - (5*d[10])/2 - (7*d[11])/2 - 2*d[15] + 5*d[16] + 
       7*d[17] - 13*d[18] + d[19]/2 + 2*d[21] + d[22]/2 + (39*d[24])/2 - 
       2*d[31] - d[32] + 2*d[34])*HPL[{0, 1}, 1 - u]^2*\[Zeta][2] + 
     (3*d[3] - 6*d[4] + d[5]/2 + (7*d[6])/3 + (11*d[7])/6 + (11*d[8])/6 - 
       (7*d[9])/3 + (43*d[10])/6 - (83*d[11])/6 - 13*d[12] - 8*d[14] - 
       (19*d[15])/6 - d[16] + (15*d[17])/2 + (9*d[18])/2 + (13*d[19])/6 + 
       (75*d[20])/4 + (8*d[21])/3 + (7*d[22])/6 + (49*d[23])/6 + 
       (35*d[24])/12 + d[27] - 2*d[31] + d[32] + 2*d[34])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (2*d[4] + 3*d[5] - 2*d[6] + 3*d[7] + 
       7*d[8] - 2*d[9] + (7*d[10])/2 + 5*d[11] + 14*d[12] + 10*d[14] + 
       14*d[15] - (5*d[17])/2 - 2*d[18] - 11*d[19] - (55*d[20])/2 - 
       16*d[21] - 9*d[22] - (21*d[23])/2 - (3*d[24])/2 - 6*d[27] - 2*d[32] + 
       2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + ((-10*d[6])/3 - (10*d[7])/3 - (10*d[8])/3 + (10*d[9])/3 + 
       (17*d[10])/6 + (7*d[11])/3 - d[12] - 2*d[14] - (29*d[15])/6 - 
       6*d[17] - (7*d[18])/2 + (13*d[19])/3 + (25*d[20])/4 + (13*d[21])/3 + 
       (13*d[22])/3 + (16*d[23])/3 - (41*d[24])/12)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + ((-20*d[3])/3 + 10*d[4] - (28*d[5])/3 - 
       2*d[6] - (17*d[7])/2 + (205*d[8])/6 - (125*d[9])/6 + (43*d[10])/3 + 
       d[11]/3 + (125*d[12])/3 + (22*d[13])/3 + (22*d[14])/3 + 10*d[15] - 
       (157*d[16])/3 + (20*d[17])/3 + (10*d[18])/3 - 2*d[19] - 
       (479*d[20])/12 - (44*d[21])/3 - (28*d[22])/3 - (103*d[23])/6 - 
       (517*d[24])/12 + (8*d[26])/3 + (10*d[27])/3 + (4*d[31])/3 + 
       (2*d[32])/3 + (22*d[33])/3 - (26*d[34])/3 + 10*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((-25*d[3])/6 + (11*d[4])/2 + (47*d[5])/12 + (37*d[6])/12 + 
       (203*d[7])/24 + (117*d[8])/8 - (181*d[9])/24 + 8*d[10] - 
       (15*d[11])/4 - (37*d[12])/12 + (10*d[13])/3 - (43*d[14])/6 + 
       (73*d[15])/12 - (73*d[16])/12 + (101*d[17])/12 + d[18]/12 - 
       (55*d[19])/12 + (571*d[20])/48 - (13*d[21])/2 - (101*d[22])/12 + 
       (93*d[23])/8 + (97*d[24])/48 + (5*d[26])/12 - (5*d[27])/3 + 
       (10*d[31])/3 + (5*d[32])/3 + (23*d[33])/6 - (43*d[34])/6 + 
       (5*d[36])/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + (2*d[2] - (8*d[3])/3 + 4*d[4] + (38*d[5])/3 + (8*d[6])/3 + 
       (73*d[7])/6 - (67*d[8])/6 + (21*d[9])/2 - (49*d[10])/3 + 
       (47*d[11])/3 + (5*d[12])/3 - (14*d[13])/3 + (22*d[14])/3 - 
       (4*d[15])/3 + (116*d[16])/3 + (2*d[17])/3 - (8*d[18])/3 - 
       (14*d[19])/3 - (5*d[20])/12 + (2*d[21])/3 - 2*d[22] - (5*d[23])/6 + 
       (103*d[24])/4 - (4*d[26])/3 - (14*d[27])/3 + (10*d[31])/3 + 
       (5*d[32])/3 - (8*d[33])/3 - (2*d[34])/3 - 2*d[36])*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (4*d[3] - 2*d[4] + d[5] + 2*d[7] + 
       3*d[8] + 8*d[10] - 4*d[11] + 6*d[14] + 7*d[15] - 2*d[16] + d[17] - 
       d[18] - 7*d[19] - (17*d[20])/2 - 6*d[21] - 7*d[22] + 3*d[23] + 
       d[24]/2 - 2*d[27] + 2*d[31] - d[32])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (4*d[3] - 3*d[4] - 5*d[5] - 3*d[6] - 
       d[7] - (3*d[8])/2 - 9*d[9] - 4*d[10] - (11*d[11])/2 - 6*d[14] - 
       5*d[15] + (3*d[16])/2 - 9*d[17] + 15*d[18] + 4*d[19] + (17*d[20])/2 + 
       5*d[21] + 4*d[22] - 3*d[23] + d[27]/2 - 2*d[31] - 2*d[32] + 3*d[34])*
      HPL[{0, 1}, 1 - v]^2*\[Zeta][2] + (-6*d[10] + 4*d[12] + 8*d[14] + 
       2*d[15] - 6*d[17] + 8*d[18] - 2*d[19] - (11*d[20])/4 - 4*d[21] - 
       (7*d[23])/2 - (15*d[24])/4)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + ((8*d[6])/3 + (8*d[7])/3 + (8*d[8])/3 - (8*d[9])/3 + 
       (16*d[10])/3 - (26*d[11])/3 - 12*d[12] - 14*d[14] - (10*d[15])/3 + 
       16*d[17] - 8*d[18] + (10*d[19])/3 + 14*d[20] + (16*d[21])/3 + 
       (4*d[22])/3 + (10*d[23])/3 - (8*d[24])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     ((-8*d[6])/3 - (8*d[7])/3 - (8*d[8])/3 + (8*d[9])/3 + (2*d[10])/3 + 
       (26*d[11])/3 + 8*d[12] + 6*d[14] + (4*d[15])/3 - 10*d[17] - 
       (4*d[19])/3 - (45*d[20])/4 - (4*d[21])/3 - (4*d[22])/3 + d[23]/6 + 
       (77*d[24])/12)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (-6*d[3] + 6*d[4] + 11*d[5] - (13*d[6])/6 + (10*d[7])/3 + (16*d[8])/3 - 
       (13*d[9])/3 - (31*d[10])/3 + (49*d[11])/6 - (27*d[12])/2 - 6*d[13] + 
       8*d[14] - (38*d[15])/3 + 11*d[16] - (15*d[17])/2 + 7*d[18] + 
       (38*d[19])/3 + (13*d[20])/4 + (50*d[21])/3 + (38*d[22])/3 - 
       (7*d[23])/3 - (589*d[24])/12 - d[26] - 2*d[27] + 4*d[31] + 2*d[32] - 
       2*d[33] - 2*d[34] + 6*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + ((-16*d[3])/3 + 8*d[4] - (11*d[5])/3 + 
       (5*d[6])/2 - 3*d[7] + (49*d[8])/3 - (2*d[9])/3 + (50*d[10])/3 - 
       (71*d[11])/6 + (149*d[12])/6 + (26*d[13])/3 - (4*d[14])/3 + 46*d[15] - 
       (98*d[16])/3 + (113*d[17])/6 - (37*d[18])/3 - 38*d[19] - 
       (493*d[20])/12 - (172*d[21])/3 - (122*d[22])/3 + (44*d[23])/3 + 
       (811*d[24])/12 + (10*d[26])/3 + (2*d[27])/3 + (2*d[31])/3 + d[32]/3 + 
       (8*d[33])/3 - (10*d[34])/3 + 14*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + ((-55*d[3])/6 + 10*d[4] + 
       (71*d[5])/12 + d[6]/6 - (29*d[7])/24 + (155*d[8])/24 + (25*d[9])/8 + 
       (2*d[10])/3 - (16*d[11])/3 - (7*d[12])/12 + (10*d[13])/3 + 
       (10*d[14])/3 + (17*d[15])/12 - (139*d[16])/12 + (59*d[17])/12 - 
       (113*d[18])/12 + (37*d[19])/12 - (395*d[20])/48 - (29*d[21])/6 + 
       (17*d[22])/4 - (47*d[23])/24 - (231*d[24])/16 + (2*d[26])/3 - 
       d[27]/6 + (10*d[31])/3 + (5*d[32])/3 - (7*d[33])/6 - (13*d[34])/6 + 
       (35*d[36])/2)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (-4*d[15] + 4*d[19] + (5*d[20])/2 + 4*d[21] + 4*d[22] - 3*d[23] - 
       (15*d[24])/2)*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (4*d[15] - 4*d[19] - (5*d[20])/2 - 4*d[21] - 4*d[22] + 3*d[23] + 
       (15*d[24])/2)*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (4*d[3] - 4*d[4] + 2*d[5] - 6*d[6] - 4*d[7] + 4*d[8] + 2*d[9] + 
       4*d[10] + (3*d[11])/2 + 5*d[12] + 8*d[14] + (11*d[15])/2 - 8*d[16] - 
       (31*d[17])/2 + 23*d[18] - (11*d[19])/2 - 11*d[20] - (11*d[21])/2 - 
       (11*d[22])/2 - 3*d[23] - 10*d[24] - 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (-4*d[3] + 4*d[4] + 2*d[6] + 6*d[7] - 2*d[8] - 2*d[9] - 8*d[10] + 
       (5*d[11])/2 - 5*d[12] - 8*d[14] - (9*d[15])/2 + 5*d[16] + 
       (17*d[17])/2 - 14*d[18] + (7*d[19])/2 + 11*d[20] + (7*d[21])/2 + 
       (7*d[22])/2 + 3*d[23] + 5*d[24] + 12*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + (-3*d[3] + d[4] + (33*d[5])/4 + 
       2*d[6] + (65*d[7])/8 + (39*d[8])/8 - (31*d[9])/8 - 5*d[10] + 7*d[11] - 
       (51*d[12])/4 + (7*d[13])/2 + 6*d[14] - (7*d[15])/2 + (35*d[16])/4 - 
       3*d[17] - (5*d[18])/2 - (9*d[19])/4 + (49*d[20])/16 + 12*d[21] - 
       (15*d[22])/4 + (81*d[23])/8 - (213*d[24])/16 - d[26] + (3*d[27])/4 + 
       (7*d[31])/2 + (7*d[32])/4 + (3*d[33])/2 - 5*d[34] - (3*d[36])/2)*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (2*d[3] + 2*d[5] - 2*d[6] - 2*d[7] + 4*d[8] - 2*d[9] - (7*d[10])/2 + 
       5*d[11] - 10*d[14] - 10*d[15] - 3*d[16] - (17*d[17])/2 + 14*d[18] + 
       12*d[19] + (11*d[20])/2 + 4*d[21] + 16*d[22] - (9*d[23])/2 - 
       (25*d[24])/2 - 4*d[31] + 4*d[34] + 12*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (-4*d[3] + 6*d[6] + 2*d[7] - 2*d[8] + 2*d[9] + (11*d[10])/2 - 2*d[11] + 
       10*d[14] + 10*d[15] + 2*d[16] + (27*d[17])/2 - 21*d[18] - 12*d[19] - 
       (11*d[20])/2 - 6*d[21] - 16*d[22] + (9*d[23])/2 + (19*d[24])/2 + 
       2*d[32] - 4*d[34] - 12*d[36])*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      \[Zeta][2] + ((5*d[3])/2 - (9*d[4])/2 + (29*d[5])/4 - (13*d[6])/4 + 
       (17*d[7])/8 - (67*d[8])/8 + (145*d[9])/8 - 2*d[10] + (17*d[11])/4 - 
       (31*d[12])/4 - 4*d[13] + (7*d[14])/2 - (29*d[15])/4 + (37*d[16])/4 - 
       (37*d[17])/4 + (39*d[18])/4 + (19*d[19])/4 + (169*d[20])/16 + 
       (11*d[21])/2 + (17*d[22])/4 - (3*d[23])/8 + (267*d[24])/16 - 
       (5*d[26])/4 + d[27] - 4*d[31] - (7*d[33])/2 + (15*d[34])/2 - 
       (3*d[36])/2)*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (4*d[3] + (11*d[6])/2 + (11*d[7])/2 + (11*d[8])/2 - (11*d[9])/2 - 
       2*d[10] + (7*d[11])/2 + (7*d[12])/2 + 2*d[14] - 8*d[15] - 
       (7*d[17])/2 + 7*d[18] + 8*d[19] - 4*d[20] + 6*d[21] + 10*d[22] - 
       (19*d[23])/2 - (41*d[24])/2)*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
      \[Zeta][2] + (-4*d[3] - (11*d[6])/2 - (11*d[7])/2 - (11*d[8])/2 + 
       (11*d[9])/2 + 2*d[10] - (7*d[11])/2 - (7*d[12])/2 - 2*d[14] + 
       8*d[15] + (7*d[17])/2 - 7*d[18] - 8*d[19] + 4*d[20] - 6*d[21] - 
       10*d[22] + (19*d[23])/2 + (41*d[24])/2)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     ((11*d[3])/2 - 8*d[4] + (17*d[5])/4 + (19*d[6])/2 + (65*d[7])/8 - 
       (15*d[8])/8 + (65*d[9])/8 - d[10] + 19*d[11] + (19*d[12])/4 - 
       4*d[13] + 2*d[14] - (9*d[15])/4 + (79*d[16])/4 - (31*d[17])/4 + 
       (13*d[18])/4 - (29*d[19])/4 + (151*d[20])/16 + (17*d[21])/2 - 
       (59*d[22])/4 - (53*d[23])/8 + (9*d[24])/16 - d[27]/2 - 2*d[31] - 
       d[32] + (11*d[33])/2 - (7*d[34])/2 - (45*d[36])/2)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     (-4*d[3] - (32*d[6])/3 - (32*d[7])/3 - (32*d[8])/3 + (32*d[9])/3 + 
       (32*d[10])/3 - (16*d[11])/3 - (14*d[15])/3 - 16*d[17] + 20*d[18] + 
       (2*d[19])/3 + (3*d[20])/2 - (28*d[21])/3 - (10*d[22])/3 + 
       (5*d[23])/3 + (109*d[24])/6)*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][2] + (6*d[3] - 10*d[4] - 2*d[5] + (32*d[6])/3 + (26*d[7])/3 + 
       (32*d[8])/3 + (16*d[9])/3 + (22*d[10])/3 + (70*d[11])/3 + 
       (14*d[15])/3 + 8*d[16] + 14*d[17] - 14*d[18] - (8*d[19])/3 - 
       (3*d[20])/2 + (4*d[21])/3 + (4*d[22])/3 - (5*d[23])/3 - 
       (121*d[24])/6 - 2*d[27] + 4*d[32] + 4*d[34])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + 
     ((4*d[3])/3 - (25*d[5])/3 + (38*d[6])/3 + (25*d[7])/6 - (7*d[8])/6 - 
       (21*d[9])/2 - (4*d[10])/3 - (4*d[11])/3 + (53*d[12])/3 - (2*d[13])/3 - 
       (8*d[14])/3 + (50*d[15])/3 - (7*d[16])/3 + (44*d[17])/3 + 
       (4*d[18])/3 - (59*d[19])/3 - (377*d[20])/12 - (70*d[21])/3 - 
       13*d[22] + (31*d[23])/6 + (291*d[24])/4 - (4*d[26])/3 - (2*d[27])/3 - 
       (2*d[31])/3 - d[32]/3 + (10*d[33])/3 - (8*d[34])/3 - 2*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + 
     (-4*d[3] + 4*d[4] - 8*d[5] - (32*d[6])/3 - (44*d[7])/3 - (62*d[8])/3 + 
       (56*d[9])/3 - (76*d[10])/3 + (20*d[11])/3 - 12*d[12] - 4*d[14] - 
       (26*d[15])/3 + 10*d[16] - 22*d[17] + 22*d[18] + (8*d[19])/3 + 
       (43*d[20])/2 - (4*d[21])/3 + (8*d[22])/3 + (35*d[23])/3 + 
       (145*d[24])/6 + 2*d[27] + 8*d[32] - 4*d[34])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     ((32*d[6])/3 + (32*d[7])/3 + (32*d[8])/3 - (32*d[9])/3 + (16*d[10])/3 + 
       (4*d[11])/3 + 12*d[12] + 4*d[14] + (20*d[15])/3 + 24*d[17] - 
       28*d[18] - (20*d[19])/3 - (43*d[20])/2 - (20*d[21])/3 - (20*d[22])/3 - 
       (35*d[23])/3 - (109*d[24])/6)*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      \[Zeta][2] + ((16*d[3])/3 - 4*d[4] - (31*d[5])/3 - (16*d[6])/3 - 
       (125*d[7])/6 - (25*d[8])/6 - (7*d[9])/2 - (16*d[10])/3 - 
       (40*d[11])/3 - (7*d[12])/3 + (4*d[13])/3 - (38*d[14])/3 - 
       (34*d[15])/3 - d[16]/3 + (2*d[17])/3 - (20*d[18])/3 + (31*d[19])/3 + 
       (151*d[20])/12 + (26*d[21])/3 + 11*d[22] - (29*d[23])/6 - 
       (153*d[24])/4 + (2*d[26])/3 + (4*d[27])/3 - (14*d[31])/3 - 
       (7*d[32])/3 - (2*d[33])/3 + (16*d[34])/3 - 2*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     ((4*d[6])/3 + (4*d[7])/3 - (8*d[8])/3 - (4*d[9])/3 + (8*d[10])/3 + 
       (2*d[11])/3 - 2*d[12] + 4*d[13] - 4*d[14] + (4*d[15])/3 + 4*d[16] + 
       2*d[17] - 8*d[18] - (4*d[19])/3 + (11*d[20])/2 - (4*d[21])/3 - 
       (4*d[22])/3 + (23*d[23])/3 + (61*d[24])/6)*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     ((-4*d[6])/3 - (4*d[7])/3 + (8*d[8])/3 + (4*d[9])/3 - (8*d[10])/3 - 
       (2*d[11])/3 + 2*d[12] - 4*d[13] + 4*d[14] - (4*d[15])/3 - 4*d[16] - 
       2*d[17] + 8*d[18] + (4*d[19])/3 - (11*d[20])/2 + (4*d[21])/3 + 
       (4*d[22])/3 - (23*d[23])/3 - (61*d[24])/6)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     ((40*d[3])/3 - 12*d[4] - (37*d[5])/3 - (4*d[6])/3 + (43*d[7])/6 + 
       (59*d[8])/6 - (35*d[9])/2 + (20*d[10])/3 + (32*d[11])/3 + 
       (41*d[12])/3 - (14*d[13])/3 - (8*d[14])/3 + (14*d[15])/3 + 
       (11*d[16])/3 - (10*d[17])/3 + (64*d[18])/3 - (29*d[19])/3 + d[20]/12 - 
       (10*d[21])/3 - 17*d[22] + (13*d[23])/6 + (53*d[24])/4 + (2*d[26])/3 - 
       (2*d[27])/3 - (14*d[31])/3 - (7*d[32])/3 + (22*d[33])/3 - 
       (8*d[34])/3 - 26*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
      \[Zeta][2] + (6*d[5] + 16*d[8] - 4*d[9] + 16*d[10] + 6*d[11] - 
       16*d[16] - 16*d[24])*HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (-8*d[3] + 8*d[4] + 6*d[5] - 2*d[7] - 4*d[8] - 6*d[9] - 4*d[11] - 
       3*d[16] - 8*d[19] - 10*d[21] - 6*d[22] - 5*d[24] - 6*d[34])*
      HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (2*d[5] - 8*d[6] - 6*d[7] - 2*d[8] + 8*d[9] + 2*d[10] + 2*d[11] + 
       6*d[16] - 4*d[17] + 4*d[18] + 2*d[19] + 2*d[22] - 4*d[24])*
      HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2] + 
     (-4*d[3] + 4*d[4] + 8*d[6] + 4*d[7] + 4*d[8] + 8*d[9] + 4*d[10] + 
       4*d[16] + 8*d[17] - 8*d[18] - 4*d[24] + 8*d[31] + 2*d[32] - 4*d[34])*
      HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2] + 
     (-4*d[4] + 3*d[5] + 18*d[6] + 15*d[7] + 15*d[8] - 18*d[9] - 27*d[10] + 
       30*d[11] + 21*d[15] - 6*d[16] + 66*d[17] - 90*d[18] - 13*d[19] + 
       42*d[21] - 15*d[22] - 15*d[24] + 6*d[27])*HPL[{0, 1, 1, 1}, 1 - u]*
      \[Zeta][2] + (-6*d[4] - 18*d[6] - 24*d[7] - 27*d[8] + 18*d[9] - 
       30*d[10] + 36*d[11] - 27*d[15] - 6*d[16] - 66*d[17] + 90*d[18] + 
       30*d[19] + 42*d[21] + 30*d[22] + 30*d[24] + 9*d[27])*
      HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2] + 
     ((-24*d[6])/5 - (24*d[7])/5 - (24*d[8])/5 + (24*d[9])/5 + (24*d[10])/5 + 
       (48*d[11])/5 + (48*d[12])/5 - (24*d[17])/5 - (24*d[18])/5 - 
       (48*d[20])/5 - (24*d[23])/5 + (24*d[24])/5)*HPL[{1}, 1 - u]^2*
      \[Zeta][2]^2 + ((16*d[3])/5 + (16*d[7])/5 - (4*d[10])/5 - 
       (24*d[11])/5 - (48*d[12])/5 - (24*d[15])/5 + (24*d[19])/5 + 
       (24*d[21])/5 + (24*d[22])/5 + (24*d[23])/5)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*\[Zeta][2]^2 + ((-8*d[3])/5 + (24*d[6])/5 + 
       (16*d[7])/5 + (24*d[8])/5 - (24*d[9])/5 - 2*d[10] - (24*d[11])/5 + 
       (24*d[15])/5 + (24*d[17])/5 + (24*d[18])/5 - (24*d[19])/5 + 
       (48*d[20])/5 - (24*d[21])/5 - (24*d[22])/5 - (24*d[24])/5)*
      HPL[{1}, 1 - v]^2*\[Zeta][2]^2 + ((-24*d[4])/5 - (24*d[5])/5 + 
       (12*d[6])/5 - (18*d[7])/5 - 18*d[8] - (6*d[9])/5 + (24*d[10])/5 + 
       (24*d[11])/5 - 12*d[12] - (24*d[14])/5 - (72*d[15])/5 - (48*d[16])/5 - 
       (48*d[17])/5 - (96*d[18])/5 + (72*d[19])/5 + 15*d[20] + 
       (144*d[21])/5 + (72*d[22])/5 + (6*d[23])/5 - (51*d[24])/5 - 
       (12*d[26])/5 + (24*d[27])/5)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      \[Zeta][2]^2 + ((24*d[3])/5 - (48*d[4])/5 + (24*d[5])/5 - (24*d[6])/5 - 
       (42*d[7])/5 - 30*d[8] + (114*d[9])/5 - (72*d[10])/5 - (84*d[11])/5 - 
       (156*d[12])/5 - (24*d[13])/5 - (36*d[15])/5 + 24*d[16] - 
       (36*d[17])/5 - (12*d[18])/5 + (24*d[19])/5 + (147*d[20])/5 + 
       (24*d[21])/5 + (72*d[22])/5 + 6*d[23] + (117*d[24])/5 + (12*d[27])/5 - 
       (24*d[31])/5 - (12*d[32])/5 - (48*d[33])/5 + (72*d[34])/5)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2]^2 + 
     ((72*d[3])/5 - (72*d[4])/5 - (24*d[5])/5 - (12*d[6])/5 + (54*d[7])/5 - 
       (78*d[8])/5 + (18*d[9])/5 - (48*d[10])/5 + (72*d[11])/5 - 12*d[12] - 
       (24*d[13])/5 - (24*d[14])/5 - 12*d[15] + (192*d[16])/5 - 
       (84*d[17])/5 + (132*d[18])/5 + (117*d[20])/5 + (96*d[21])/5 + 
       (66*d[23])/5 + (231*d[24])/5 - (12*d[26])/5 - (12*d[27])/5 - 
       (24*d[31])/5 - (12*d[32])/5 + (24*d[34])/5 - (144*d[36])/5)*
      HPL[{1}, 1 - w]^2*\[Zeta][2]^2 + ((16*d[4])/5 - 4*d[9] - 4*d[11] + 
       4*d[16] + (16*d[19])/5 + (4*d[29])/5)*HPL[{0, 1}, 1 - u]*
      \[Zeta][2]^2 + ((-16*d[3])/5 + (16*d[4])/5 - (16*d[7])/5 + 4*d[9] - 
       4*d[10] + 4*d[11] - 4*d[16] - (16*d[19])/5 - (4*d[29])/5)*
      HPL[{0, 1}, 1 - v]*\[Zeta][2]^2 + ((5*d[3])/3 + (8*d[6])/3 + 
       (8*d[7])/3 + (8*d[8])/3 - (8*d[9])/3 - (20*d[10])/3 - 2*d[11] - 
       5*d[12] - (5*d[15])/3 - (11*d[17])/3 + 7*d[18] + 2*d[19] + 
       (9*d[20])/2 + (11*d[22])/3 - (5*d[23])/3 - (79*d[24])/6)*
      HPL[{1}, 1 - u]^3*\[Zeta][3] + (-3*d[3] - (8*d[6])/3 - (8*d[7])/3 - 
       (8*d[8])/3 + (8*d[9])/3 + (49*d[10])/6 - (7*d[11])/3 + 5*d[12] - 
       2*d[14] - (2*d[15])/3 + 5*d[17] - 7*d[18] + (2*d[19])/3 + 
       (3*d[20])/2 + (11*d[21])/3 - (10*d[22])/3 + (23*d[23])/3 + 
       (97*d[24])/6 - (3*d[32])/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      \[Zeta][3] + (3*d[3] - 2*d[4] + d[5] + (8*d[6])/3 + (11*d[7])/3 + 
       (14*d[8])/3 - (17*d[9])/3 + d[10]/3 + (5*d[11])/6 + 2*d[12] + 
       4*d[14] + (17*d[15])/3 - (3*d[16])/2 + 2*d[17] + 4*d[18] - 
       (17*d[19])/3 - 8*d[20] - (14*d[21])/3 - (11*d[22])/3 - (38*d[23])/3 - 
       (25*d[24])/6 - d[27])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][3] + 
     ((-8*d[6])/3 - (8*d[7])/3 - (8*d[8])/3 + (8*d[9])/3 + (5*d[11])/3 - 
       2*d[12] - 2*d[14] - (8*d[15])/3 - (10*d[17])/3 - 4*d[18] + 
       (8*d[19])/3 + 2*d[20] + (8*d[21])/3 + (8*d[22])/3 + (20*d[23])/3 - 
       d[24]/3)*HPL[{1}, 1 - v]^3*\[Zeta][3] + 
     ((5*d[3])/3 + (23*d[5])/6 - (8*d[6])/3 + (17*d[7])/6 + (13*d[8])/6 + 
       8*d[9] - (5*d[10])/3 + (4*d[11])/3 + (4*d[12])/3 - (4*d[13])/3 + 
       (8*d[14])/3 - (2*d[15])/3 + (40*d[16])/3 - (2*d[17])/3 + 
       (32*d[18])/3 - (4*d[19])/3 - (11*d[20])/24 - (14*d[21])/3 - 3*d[22] + 
       (37*d[23])/12 + (131*d[24])/8 + (4*d[26])/3 - (7*d[27])/3 - 
       (4*d[31])/3 - (2*d[32])/3 - (4*d[33])/3 + (8*d[34])/3 - 4*d[36])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (-2*d[3] + 6*d[4] - 6*d[6] + (7*d[7])/2 + (13*d[8])/2 - (11*d[9])/2 + 
       d[10] - 3*d[11] + d[12] + 4*d[13] - 4*d[14] + d[15] + d[16] + 
       2*d[17] + 12*d[18] + 2*d[19] - (19*d[20])/4 - 8*d[21] + 6*d[22] + 
       (13*d[23])/2 + (43*d[24])/4 - 3*d[27] + 2*d[31] + d[32] - 2*d[33] + 
       6*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][3] + 
     ((-4*d[3])/3 + 3*d[4] - (5*d[5])/3 + (10*d[6])/3 + (97*d[7])/12 + 
       (197*d[8])/12 - (51*d[9])/4 + (4*d[10])/3 + (28*d[11])/3 + 
       (28*d[12])/3 - d[13]/3 + (11*d[14])/3 + (10*d[15])/3 - (61*d[16])/6 - 
       d[17]/6 + (31*d[18])/6 - (23*d[19])/6 - (287*d[20])/24 + (4*d[21])/3 - 
       (19*d[22])/2 - (23*d[23])/12 - (123*d[24])/8 - (2*d[26])/3 - 
       (4*d[27])/3 + (8*d[31])/3 + (4*d[32])/3 + (17*d[33])/3 - 
       (25*d[34])/3 - 4*d[36])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (2*d[2] - 4*d[3] + 4*d[4] + 3*d[5] - (13*d[6])/3 - (41*d[7])/6 + 
       d[8]/6 + (23*d[9])/6 - (14*d[10])/3 - (29*d[11])/3 + 4*d[12] + d[13] + 
       3*d[14] + (17*d[15])/3 - 2*d[16] + 5*d[17] - 7*d[18] - (8*d[19])/3 - 
       (35*d[20])/4 - (44*d[21])/3 + (4*d[22])/3 - (31*d[23])/6 - 
       (143*d[24])/12 + d[26] + 2*d[31] + d[32] - 2*d[33] + 6*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     (-2*d[2] - 4*d[3] + 4*d[4] - 4*d[5] + (10*d[6])/3 - (19*d[7])/6 + 
       (59*d[8])/6 - (53*d[9])/6 + (41*d[10])/3 - (19*d[11])/3 + 6*d[12] + 
       5*d[13] - 5*d[14] + (16*d[15])/3 - 30*d[16] + 5*d[17] - 11*d[18] + 
       (5*d[19])/3 - (29*d[20])/4 - (10*d[21])/3 - d[22]/3 - (5*d[23])/6 - 
       (217*d[24])/12 + 2*d[27] + 2*d[31] + d[32] + 2*d[33] - 4*d[34] + 
       6*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     ((-28*d[3])/3 + 8*d[4] + (29*d[5])/6 - d[6]/6 - (77*d[7])/12 + 
       (29*d[8])/12 + (9*d[9])/4 + (7*d[10])/3 - (61*d[11])/6 - 
       (11*d[12])/3 + (8*d[13])/3 + (8*d[14])/3 + (4*d[15])/3 - 
       (109*d[16])/6 + (35*d[17])/6 - (89*d[18])/6 + (31*d[19])/6 - 
       (29*d[20])/6 - (11*d[21])/3 + (15*d[22])/2 - (5*d[23])/3 - 
       (79*d[24])/4 + (5*d[26])/6 + (13*d[27])/6 + (8*d[31])/3 + 
       (4*d[32])/3 - (7*d[33])/3 - d[34]/3 + 20*d[36])*HPL[{1}, 1 - w]^3*
      \[Zeta][3] + (2*d[3] - 2*d[4] + d[5] + (14*d[6])/3 + (11*d[7])/3 + 
       (17*d[8])/3 - (2*d[9])/3 + (13*d[10])/3 - (5*d[11])/3 - 4*d[12] + 
       10*d[14] + (8*d[15])/3 - 3*d[16] + 10*d[17] - 6*d[18] - (17*d[19])/3 - 
       6*d[20] - (2*d[21])/3 - (17*d[22])/3 + (4*d[23])/3 - (8*d[24])/3 + 
       d[32] - 2*d[34] - 12*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      \[Zeta][3] + (-6*d[3] + 2*d[4] + 5*d[5] - (8*d[6])/3 + d[7]/3 + 
       (13*d[8])/3 + (2*d[9])/3 - (19*d[10])/3 + (32*d[11])/3 + 4*d[12] - 
       10*d[14] - (2*d[15])/3 + d[16] - 10*d[17] + 10*d[18] + (11*d[19])/3 + 
       6*d[20] + (2*d[21])/3 + (11*d[22])/3 - (4*d[23])/3 - (40*d[24])/3 - 
       2*d[27] + 2*d[31] + d[32] + 12*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*\[Zeta][3] + (4*d[2] - (10*d[3])/3 + 8*d[4] + 
       (34*d[5])/3 - (38*d[6])/3 + (53*d[7])/6 + (97*d[8])/6 + (9*d[9])/2 - 
       (32*d[10])/3 + (25*d[11])/3 + (37*d[12])/3 - (4*d[13])/3 + 
       (32*d[14])/3 + (4*d[15])/3 + (100*d[16])/3 + (7*d[17])/3 + 
       (47*d[18])/3 - (13*d[19])/3 - (143*d[20])/6 - (74*d[21])/3 - d[22] + 
       (19*d[23])/3 + 28*d[24] + (10*d[26])/3 - (22*d[27])/3 + (2*d[31])/3 + 
       d[32]/3 - (10*d[33])/3 + (8*d[34])/3 + 2*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*\[Zeta][3] + (-6*d[3] + 4*d[4] + 3*d[5] + 
       (8*d[6])/3 + (5*d[7])/3 + (2*d[8])/3 + (10*d[9])/3 + (13*d[10])/3 + 
       (4*d[11])/3 - 2*d[12] + 4*d[13] + (26*d[15])/3 - d[16] + 9*d[17] - 
       9*d[18] - (17*d[19])/3 + (11*d[20])/2 - (20*d[21])/3 - (5*d[22])/3 + 
       (13*d[23])/3 + (17*d[24])/6 + d[27] + d[32] + 2*d[34] + 12*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][3] + 
     (2*d[3] - 2*d[4] + d[5] - (14*d[6])/3 - (17*d[7])/3 + d[8]/3 + 
       (2*d[9])/3 - d[10]/3 + (11*d[11])/3 + 2*d[12] - 4*d[13] - 
       (26*d[15])/3 - 3*d[16] - 8*d[17] + 4*d[18] + (17*d[19])/3 - 
       (11*d[20])/2 + (20*d[21])/3 + (5*d[22])/3 - (13*d[23])/3 - 
       (53*d[24])/6 + d[32] - 2*d[34] - 12*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*\[Zeta][3] + (-4*d[2] - (4*d[3])/3 + 8*d[4] - 
       (23*d[5])/3 + (22*d[6])/3 + (52*d[7])/3 + (128*d[8])/3 - 35*d[9] + 
       (52*d[10])/3 + (22*d[11])/3 + (37*d[12])/3 + (14*d[13])/3 - 
       (10*d[14])/3 + (28*d[15])/3 - (119*d[16])/3 + (19*d[17])/3 + 
       (65*d[18])/3 - (10*d[19])/3 - (83*d[20])/6 - (2*d[21])/3 - 16*d[22] + 
       (13*d[23])/3 - (49*d[24])/2 - (2*d[26])/3 - (10*d[27])/3 + 
       (14*d[31])/3 + (7*d[32])/3 + (32*d[33])/3 - (46*d[34])/3 + 2*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][3] + 
     (2*d[3] + (2*d[6])/3 + (2*d[7])/3 + (2*d[8])/3 - (2*d[9])/3 - 
       (8*d[10])/3 - (26*d[11])/3 - 4*d[12] - 2*d[14] + (38*d[15])/3 + 
       4*d[17] + 6*d[18] - (38*d[19])/3 + 5*d[20] - (32*d[21])/3 - 
       (44*d[22])/3 + (16*d[23])/3 + (43*d[24])/3)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*\[Zeta][3] + (-2*d[3] - (2*d[6])/3 - (2*d[7])/3 - 
       (2*d[8])/3 + (2*d[9])/3 + (8*d[10])/3 + (26*d[11])/3 + 4*d[12] + 
       2*d[14] - (38*d[15])/3 - 4*d[17] - 6*d[18] + (38*d[19])/3 - 5*d[20] + 
       (32*d[21])/3 + (44*d[22])/3 - (16*d[23])/3 - (43*d[24])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][3] + 
     ((-46*d[3])/3 + 12*d[4] + (10*d[5])/3 + (13*d[6])/3 - (41*d[7])/3 + 
       (44*d[8])/3 - 3*d[9] + (40*d[10])/3 - (53*d[11])/3 + (31*d[12])/3 + 
       (20*d[13])/3 + (8*d[14])/3 + (28*d[15])/3 - (146*d[16])/3 + 
       (43*d[17])/3 - (103*d[18])/3 + (8*d[19])/3 - (175*d[20])/12 - 
       (44*d[21])/3 + 2*d[22] - (79*d[23])/6 - (237*d[24])/4 + (7*d[26])/3 + 
       (17*d[27])/3 + (14*d[31])/3 + (7*d[32])/3 + (8*d[33])/3 - 
       (22*d[34])/3 + 26*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][3] + (10*d[5] - 2*d[7] + 20*d[8] + 4*d[9] + 20*d[10] + 
       10*d[11] - 16*d[16] + 4*d[19] + 4*d[22] - 20*d[24])*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][3] + (-8*d[3] + 10*d[4] + 6*d[5] - 
       2*d[7] - 4*d[8] - 6*d[9] + 4*d[11] - 3*d[16] - 8*d[19] - 10*d[21] - 
       6*d[22] - 13*d[24] + 4*d[32] - 6*d[34])*HPL[{0, 0, 1}, 1 - v]*
      \[Zeta][3] + (10*d[3] - 2*d[4] - 14*d[5] + 2*d[6] + 6*d[7] - 19*d[8] - 
       6*d[9] - 14*d[10] - 23*d[11] - 4*d[14] - 6*d[15] + 16*d[16] - 
       5*d[17] + 5*d[18] + 4*d[19] + 4*d[20] - 6*d[21] + 4*d[22] + 30*d[24] - 
       d[27] - 4*d[31] - 4*d[32] + 6*d[34])*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][3] + (10*d[3] - 6*d[4] - 12*d[5] - 2*d[6] + 2*d[7] - 4*d[8] - 
       2*d[9] + 6*d[10] - 13*d[11] + 4*d[14] + 4*d[15] + 7*d[16] + 2*d[17] - 
       2*d[18] - 4*d[19] - 4*d[20] - 4*d[22] + 21*d[24] - 2*d[27] - 2*d[31] - 
       4*d[32] + 6*d[34])*HPL[{0, 1, 1}, 1 - v]*\[Zeta][3] + 
     (-4*d[3] + 4*d[4] - 2*d[5] - 20*d[6] - 18*d[7] - 30*d[8] + 4*d[9] + 
       2*d[10] + 2*d[11] - 4*d[14] - 20*d[15] + 18*d[16] + 4*d[17] - 
       56*d[18] + 14*d[19] + 4*d[20] + 24*d[21] + 14*d[22] + 24*d[24] + 
       2*d[29] + 2*d[32] - 4*d[34])*HPL[{1}, 1 - u]*\[Zeta][2]*\[Zeta][3] + 
     (4*d[3] - 4*d[4] + 2*d[5] + 20*d[6] + 18*d[7] + 30*d[8] - 4*d[9] - 
       2*d[10] - 2*d[11] + 4*d[14] + 20*d[15] - 18*d[16] - 4*d[17] + 
       56*d[18] - 14*d[19] - 4*d[20] - 24*d[21] - 14*d[22] - 24*d[24] - 
       2*d[29] - 2*d[32] + 4*d[34])*HPL[{1}, 1 - v]*\[Zeta][2]*\[Zeta][3] + 
     (-10*d[3] + 2*d[4] - d[5] + 60*d[6] + 45*d[7] + 51*d[8] - 46*d[9] - 
       47*d[10] - 47*d[11] + 60*d[15] - 15*d[16] + 60*d[17] + 40*d[18] - 
       47*d[19] - 54*d[21] - 55*d[22] - 60*d[24] - d[29] + d[32] - 2*d[34])*
      HPL[{1}, 1 - u]*\[Zeta][5] + (10*d[3] - 2*d[4] + d[5] - 60*d[6] - 
       45*d[7] - 51*d[8] + 46*d[9] + 47*d[10] + 47*d[11] - 60*d[15] + 
       15*d[16] - 60*d[17] - 40*d[18] + 47*d[19] + 54*d[21] + 55*d[22] + 
       60*d[24] + d[29] - d[32] + 2*d[34])*HPL[{1}, 1 - v]*\[Zeta][5]
 

DuvwCoproductEntries[w] = ((-3*d[5])/8 - (59*d[6])/96 - d[7]/8 + d[8]/2 - 
       d[9]/2 + (11*d[10])/8 - d[11]/6 - d[12]/8 + (67*d[15])/48 - 
       (4*d[16])/3 - (2*d[17])/3 + d[18]/2 - (55*d[19])/48 - (73*d[20])/48 - 
       (19*d[21])/16 - (21*d[22])/16 + (15*d[23])/8 + (189*d[24])/64 - 
       d[26]/24 + d[27]/8 + d[33]/4 - d[34]/4)*HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - v]^2 + (d[5]/3 - (35*d[6])/96 + (85*d[7])/288 - 
       (155*d[8])/288 + (49*d[9])/96 - (61*d[10])/36 + (11*d[11])/48 - 
       (29*d[12])/48 - d[13]/18 + (5*d[14])/12 - (71*d[15])/72 + 
       (13*d[16])/12 + (7*d[17])/24 - (13*d[18])/8 + (55*d[19])/72 - 
       (17*d[20])/32 + (23*d[21])/24 + (7*d[22])/8 + (215*d[23])/288 + 
       (235*d[24])/288 - d[26]/36 - d[27]/9 - (2*d[33])/9 + (2*d[34])/9)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3 + 
     (d[5]/4 + (107*d[7])/96 + (5*d[8])/32 - (31*d[9])/96 - (13*d[10])/24 - 
       (11*d[11])/16 - (2*d[12])/3 - (7*d[13])/48 - d[14]/2 - (5*d[15])/3 + 
       d[16] + d[17]/4 + (3*d[19])/2 - (13*d[20])/96 + (3*d[21])/2 + 
       (5*d[22])/3 - (43*d[23])/24 - (19*d[24])/8 - d[27]/12 - d[33]/6 + 
       d[34]/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4 + 
     (d[14]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5)/10 + 
     (-d[3]/12 - (25*d[6])/24 + d[10]/3 - d[11]/12 + d[12]/4 + (13*d[15])/4 - 
       (19*d[17])/12 + (9*d[18])/4 - (13*d[19])/4 - (71*d[20])/24 - 
       (43*d[21])/12 - (37*d[22])/12 + (15*d[23])/4 + (205*d[24])/24)*
      HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     ((-5*d[2])/72 - (5*d[3])/9 - (17*d[5])/12 + (11*d[6])/36 - (5*d[7])/8 + 
       (19*d[8])/8 - (155*d[9])/72 + (113*d[10])/36 - d[11]/3 + 
       (5*d[12])/48 - (7*d[13])/36 + (5*d[14])/12 + (11*d[15])/18 - 
       (35*d[16])/6 - (13*d[17])/18 + d[18]/6 + d[19]/2 - (29*d[20])/288 - 
       (7*d[21])/36 - (7*d[22])/18 + (373*d[23])/288 - (437*d[24])/72 + 
       d[26]/12 + (5*d[27])/9 + (10*d[33])/9 - (10*d[34])/9)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w] + 
     (-d[2]/36 - d[3]/9 - (7*d[5])/18 - (35*d[6])/72 - (11*d[7])/24 + 
       (5*d[8])/72 + (7*d[9])/72 + d[10]/6 - (13*d[11])/18 - (61*d[12])/144 - 
       (23*d[13])/36 - d[14]/9 + (5*d[15])/6 + d[16]/9 + (4*d[17])/9 - 
       (11*d[18])/9 - (2*d[19])/3 + (67*d[20])/32 - (20*d[21])/9 - 
       (17*d[22])/18 + (205*d[23])/288 - (107*d[24])/48 + (5*d[26])/9 + 
       d[27]/12 + d[33]/6 - d[34]/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w] + ((23*d[7])/24 + (35*d[8])/24 - (35*d[9])/24 - 
       (5*d[10])/12 - (4*d[11])/3 - (11*d[12])/12 - d[13]/12 - d[14]/24 + 
       d[17]/4 + (95*d[20])/24 + (19*d[23])/12 - (13*d[24])/12)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w] + 
     ((3*d[5])/8 - (7*d[6])/32 + d[7]/8 - d[8]/2 + d[9]/2 - (7*d[10])/8 + 
       d[11]/4 - (3*d[12])/8 - (5*d[15])/16 + d[16] + (3*d[17])/8 - 
       (11*d[18])/8 + d[19]/16 + (3*d[20])/16 + (7*d[21])/16 + (5*d[22])/16 + 
       (3*d[23])/16 + (45*d[24])/64 - d[26]/8 - d[27]/8 - d[33]/4 + d[34]/4)*
      HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^2 + 
     ((-2*d[5])/3 + (15*d[7])/32 + (53*d[8])/96 - (37*d[9])/96 + 
       (5*d[10])/3 - (9*d[11])/16 - (211*d[12])/96 - (7*d[13])/24 + d[14]/4 - 
       (3*d[15])/4 - (4*d[16])/3 + (13*d[19])/12 - (11*d[20])/12 + 
       (2*d[21])/3 + (5*d[22])/12 + (97*d[23])/48 + (13*d[24])/48 + 
       d[26]/12 - d[27]/6 + d[33]/3 - d[34]/3)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2 + 
     ((-11*d[2])/36 + (3*d[4])/2 - d[5]/4 + d[6]/48 + (35*d[7])/48 + 
       (47*d[8])/48 + d[9]/48 + (5*d[10])/12 - (23*d[11])/8 - (7*d[12])/8 - 
       (11*d[13])/24 - (5*d[14])/48 + (4*d[15])/3 + (5*d[16])/6 + d[17]/6 - 
       d[18]/3 - (7*d[19])/6 + (3*d[20])/16 - (15*d[21])/4 - (3*d[22])/2 + 
       (9*d[23])/32 - (47*d[24])/16 + d[26]/12 - (19*d[27])/12 + d[33]/6 - 
       d[34]/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2 + 
     (-d[2]/3 + d[4]/3 - (19*d[5])/24 - (9*d[6])/32 - d[7]/12 + 
       (23*d[8])/24 - (5*d[9])/8 + (5*d[10])/24 - (7*d[11])/6 + 
       (59*d[12])/96 - d[13]/6 - (5*d[14])/6 + (31*d[15])/24 - (3*d[16])/2 + 
       (3*d[17])/8 - (7*d[18])/8 - (7*d[19])/8 + (81*d[20])/32 - 2*d[21] - 
       (31*d[22])/24 - (143*d[23])/96 - (25*d[24])/8 + (5*d[26])/24 - 
       d[27]/8 + (5*d[33])/12 - (5*d[34])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2 + 
     (d[5]/4 + (7*d[7])/32 - (59*d[8])/96 + (43*d[9])/96 - d[10]/2 + 
       (5*d[11])/48 + d[12]/48 + d[13]/16 + d[14]/8 + d[16] - d[19]/6 - 
       (11*d[20])/96 - d[21]/6 - d[23]/12 + (41*d[24])/24 - d[27]/12 - 
       d[33]/6 + d[34]/6)*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2 + 
     (d[2]/24 - (5*d[5])/8 - d[7]/8 + d[8]/2 - d[9]/2 + d[10] - d[11]/8 - 
       (5*d[12])/32 - d[13]/4 - (3*d[15])/16 - (5*d[16])/4 + d[17]/4 - 
       (3*d[18])/4 + (7*d[19])/16 + (3*d[20])/16 + (7*d[21])/16 + 
       (3*d[22])/16 - d[23]/16 - (15*d[24])/64 + d[27]/8 + d[33]/4 - d[34]/4)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^3 + 
     (-d[2]/18 + (13*d[5])/24 - d[7]/16 - (13*d[8])/48 + d[9]/48 - 
       (3*d[10])/4 + d[11]/6 + (41*d[12])/96 + (11*d[13])/48 - d[14] - 
       (20*d[15])/3 + (3*d[16])/2 + d[17] + (77*d[19])/12 - (3*d[20])/32 + 
       (77*d[21])/12 + (20*d[22])/3 - 8*d[23] - (361*d[24])/24 - d[27]/8 - 
       d[33]/4 + d[34]/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3 + ((11*d[2])/36 + (3*d[5])/8 - (5*d[6])/48 - 
       (3*d[7])/8 + d[8]/3 - d[9]/3 - (5*d[10])/6 + (5*d[11])/8 - 
       (31*d[12])/96 - d[13]/6 + (5*d[14])/12 - (17*d[15])/48 + 
       (11*d[16])/12 + (3*d[17])/4 - (5*d[18])/4 + (5*d[19])/48 + 
       (881*d[20])/96 + (29*d[21])/48 + (17*d[22])/48 + (137*d[23])/32 - 
       (301*d[24])/192 - d[26]/6 - d[27]/8 - d[33]/4 + d[34]/4)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3 + 
     ((3*d[5])/8 + (7*d[7])/16 - (17*d[8])/48 + (13*d[9])/48 - d[10]/4 + 
       d[11]/12 + (13*d[12])/32 + d[13]/16 - (3*d[14])/8 + d[16]/2 - 
       d[19]/12 - (9*d[20])/8 - d[21]/12 - (19*d[23])/32 + (25*d[24])/16 - 
       d[27]/24 - d[33]/12 + d[34]/12)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3 + 
     (d[2]/24 + d[5]/4 - d[12]/4 + d[13]/4 - d[14]/8 + (13*d[20])/8 + 
       d[23]/2 - d[24]/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4 + 
     (d[14]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4)/2 + 
     (d[2]/24 - d[5]/4 - (17*d[12])/24 - d[13]/4 - d[14]/8 + (25*d[20])/48 + 
       (7*d[23])/48 + d[24]/24)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4 + 
     ((-3*d[3])/16 + (31*d[6])/48 - d[10]/3 - d[11]/3 + (17*d[12])/12 + 
       (23*d[15])/24 + (2*d[16])/3 - (21*d[17])/8 + (47*d[18])/8 - 
       (23*d[19])/24 - (7*d[20])/24 - (59*d[21])/24 - (17*d[22])/24 - 
       (3*d[23])/8 + (35*d[24])/48 + d[26]/3)*HPL[{1}, 1 - u]^4*
      HPL[{0, 1}, 1 - u] + (-d[2]/6 - (5*d[4])/18 - d[5]/4 - (17*d[6])/6 - 
       (29*d[7])/18 + (35*d[8])/36 - (29*d[9])/36 - (7*d[10])/18 + 
       (5*d[11])/36 - (175*d[12])/72 + d[13]/4 - (14*d[15])/9 - d[16] + 
       (77*d[17])/18 - (71*d[18])/9 + (16*d[19])/9 - (145*d[20])/72 + 
       (29*d[21])/9 + (7*d[22])/9 + (23*d[23])/24 - (22*d[24])/3 + d[27]/12 + 
       d[33]/6 - d[34]/6)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u] + (d[2]/12 + (5*d[4])/4 - (5*d[5])/24 - 
       (149*d[6])/144 + (41*d[7])/24 + (7*d[8])/24 + d[9]/6 + (61*d[10])/72 - 
       (203*d[11])/72 - (5*d[12])/72 - d[13]/4 - d[14]/12 + (91*d[15])/36 + 
       (41*d[16])/36 - (13*d[17])/4 + (59*d[18])/12 - (97*d[19])/36 + 
       (485*d[20])/72 - (251*d[21])/72 - (79*d[22])/36 + (15*d[23])/4 + 
       (2413*d[24])/288 - (11*d[26])/36 - d[27] - d[33]/6 + d[34]/6)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     ((2*d[2])/9 - (4*d[4])/9 + (35*d[5])/18 - (121*d[6])/144 + 
       (433*d[7])/144 - (191*d[8])/144 + (71*d[9])/144 - (41*d[10])/9 + 
       (21*d[11])/8 - (23*d[12])/72 - (4*d[13])/9 + d[14]/2 - (7*d[15])/4 + 
       (101*d[16])/18 + d[17]/4 - (9*d[18])/4 + (23*d[19])/36 - 
       (2353*d[20])/144 + (53*d[21])/36 + (7*d[22])/4 - (727*d[23])/144 + 
       (623*d[24])/144 - d[26]/18 - d[27]/9 - (10*d[33])/9 + (10*d[34])/9)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u] + 
     ((13*d[5])/24 + (21*d[7])/16 - (41*d[8])/48 + (25*d[9])/48 - d[10] - 
       d[11]/24 - d[12]/3 - (3*d[13])/8 - d[14]/4 + 2*d[16] - d[19]/3 + 
       (25*d[20])/48 - d[21]/3 + (23*d[23])/24 + (11*d[24])/3 - d[27]/6 - 
       d[33]/3 + d[34]/3)*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u] + 
     (-d[2]/6 + (2*d[3])/3 + (5*d[4])/4 - (5*d[5])/8 + d[6]/4 + (5*d[7])/8 + 
       (5*d[8])/8 + (31*d[10])/24 - (49*d[11])/24 - (47*d[12])/24 + d[14]/2 + 
       (11*d[15])/24 + (5*d[16])/4 + (20*d[17])/3 - (29*d[18])/3 - 
       (11*d[19])/24 - (17*d[20])/12 - d[21] - (9*d[22])/8 + (5*d[23])/6 + 
       d[24]/4 - (5*d[27])/4)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u] + (d[2]/2 - d[3]/3 + (37*d[6])/12 - 2*d[8] + 
       2*d[9] - (3*d[10])/4 - (5*d[11])/4 + (20*d[12])/3 - d[13]/2 - 
       d[14]/6 + (57*d[15])/4 + (19*d[16])/6 - 7*d[17] + (77*d[18])/3 - 
       (57*d[19])/4 + (40*d[20])/3 - (59*d[21])/3 - (163*d[22])/12 + 
       (23*d[23])/4 + (643*d[24])/24 + (19*d[26])/12)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((-13*d[2])/36 - (25*d[5])/6 + (11*d[6])/12 - (25*d[7])/3 + 11*d[8] - 
       9*d[9] + (37*d[10])/6 + d[11]/6 + (283*d[12])/72 + (4*d[13])/3 - 
       (7*d[14])/6 + (41*d[15])/6 - (47*d[16])/3 - 2*d[17] + 2*d[18] - 
       (25*d[19])/6 - (149*d[20])/144 - (14*d[21])/3 - (41*d[22])/6 + 
       (325*d[23])/144 - (1517*d[24])/72 + d[26]/6 + (4*d[27])/3 - d[28]/6 - 
       (2*d[30])/3 + (8*d[33])/3 - (8*d[34])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((5*d[2])/6 - (13*d[5])/36 - (11*d[7])/9 + (11*d[8])/9 - (7*d[9])/9 + 
       (25*d[10])/18 - (7*d[11])/18 - (17*d[12])/24 - (5*d[13])/9 - 
       d[14]/36 - (95*d[16])/36 - d[17]/36 + d[18]/36 + (13*d[19])/36 + 
       (35*d[20])/16 + (4*d[21])/9 - d[22]/12 - (5*d[23])/16 - 
       (179*d[24])/72 + (2*d[27])/9 + (4*d[33])/9 - (4*d[34])/9)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((-11*d[4])/4 + d[5]/16 - (7*d[6])/16 - (133*d[7])/48 + (53*d[8])/24 - 
       (83*d[9])/24 + (13*d[10])/6 + (209*d[11])/48 - (61*d[12])/48 - 
       (3*d[13])/8 - d[14]/8 - (5*d[15])/3 - (22*d[16])/3 - (13*d[17])/12 + 
       (5*d[18])/4 + (59*d[19])/24 + (793*d[20])/48 + (173*d[21])/24 + 
       (17*d[22])/12 + (127*d[23])/16 - (649*d[24])/96 - d[26]/4 + 
       (139*d[27])/48 + (19*d[33])/24 - (19*d[34])/24)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     ((-11*d[2])/9 + (2*d[4])/3 + (2*d[5])/3 + (5*d[6])/6 + (53*d[7])/48 - 
       d[8]/16 - (13*d[9])/48 + (4*d[10])/3 - (13*d[11])/8 + (113*d[12])/48 + 
       d[13]/4 + (5*d[14])/3 - (5*d[15])/6 + (11*d[16])/3 - d[17] + 3*d[18] + 
       d[19]/6 - (223*d[20])/6 + (2*d[21])/3 + (5*d[22])/6 - (149*d[23])/12 - 
       (17*d[24])/24 - d[26]/2 - d[27] - (2*d[33])/3 + (2*d[34])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (-d[2] - d[5]/2 - d[6]/12 - (13*d[7])/8 + d[8] - (7*d[9])/12 + 
       (35*d[10])/24 + d[11]/24 + (17*d[12])/12 + d[13]/6 + d[14]/12 - 
       (71*d[16])/24 - d[17]/24 + d[18]/24 + (3*d[19])/8 - (29*d[20])/12 + 
       d[21]/2 - d[22]/8 - (11*d[23])/12 - (19*d[24])/4 + (3*d[27])/8 + 
       d[33]/2 - d[34]/2)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + (d[1]/12 + (2*d[2])/9 - d[5]/3 + (5*d[7])/4 - 
       (3*d[8])/2 + (3*d[9])/2 + 2*d[10] - (5*d[11])/4 + (145*d[12])/48 + 
       (5*d[13])/12 + d[14]/4 - (3*d[15])/8 - (5*d[16])/2 + (5*d[17])/4 - 
       (3*d[18])/2 + (7*d[19])/8 - (105*d[20])/8 + (7*d[21])/8 + 
       (3*d[22])/8 - (199*d[23])/24 + (225*d[24])/32 + d[27]/4 + d[33]/2 - 
       d[34]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     (-d[2]/3 + (11*d[5])/12 + (3*d[7])/8 - (11*d[8])/8 + (7*d[9])/8 - 
       (3*d[10])/2 + d[12]/48 + d[13]/8 + d[14] + 3*d[16] - d[19]/2 - 
       (169*d[20])/48 - d[21]/2 - (5*d[23])/6 + (31*d[24])/12 - d[27]/4 - 
       d[33]/2 + d[34]/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - u] + (d[2]/12 + d[5]/2 - d[12]/2 + d[13]/2 - d[14]/4 + 
       (13*d[20])/4 + d[23] - d[24])*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u] + 
     ((3*d[4])/8 - (61*d[6])/48 + d[10]/3 + d[11]/3 - (31*d[12])/24 - 
       (11*d[15])/24 - (2*d[16])/3 + (17*d[17])/16 - (87*d[18])/16 + 
       d[19]/3 - (13*d[20])/48 + (13*d[21])/12 + (17*d[22])/24 + d[23]/8 - 
       (47*d[24])/48 - (13*d[26])/48)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]^2 + (-d[4] + (49*d[5])/12 + (23*d[6])/24 + 
       (8*d[7])/3 - (59*d[8])/12 + (53*d[9])/12 - (22*d[10])/3 + 
       (13*d[11])/4 - (13*d[12])/6 - (2*d[13])/3 - d[14]/6 - (101*d[15])/12 + 
       (37*d[16])/4 - 2*d[17] + 4*d[18] + (25*d[19])/4 + (85*d[20])/24 + 
       (113*d[21])/12 + (33*d[22])/4 - d[23]/8 + (65*d[24])/16 - d[26]/2 - 
       d[27]/12 - d[28]/6 - d[29]/12 - (2*d[30])/3 - 2*d[33] + 2*d[34])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     (d[2]/3 - 2*d[5] + d[6]/4 - (4*d[7])/3 + (10*d[8])/3 - (37*d[9])/12 + 
       (59*d[10])/24 - d[11]/2 - (7*d[12])/8 - d[13]/2 - d[14] - 
       (131*d[16])/24 + d[17]/4 - d[18]/4 + (29*d[19])/24 - (19*d[20])/24 + 
       (5*d[21])/4 - d[22]/24 + (5*d[23])/24 - (75*d[24])/8 + (2*d[27])/3 - 
       d[28]/12 - d[29]/24 - d[30]/3 + (5*d[33])/4 - (5*d[34])/4)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2 + 
     (d[2]/3 - (3*d[5])/2 - (7*d[6])/24 - d[7]/2 + 2*d[8] - 2*d[9] + 
       (19*d[10])/6 - (4*d[11])/3 - d[12]/4 - (5*d[14])/4 + (23*d[15])/24 - 
       (10*d[16])/3 - (27*d[17])/8 + (53*d[18])/8 + d[19]/6 + (3*d[20])/2 - 
       (7*d[21])/3 - (5*d[22])/6 + (13*d[23])/24 - (59*d[24])/16 + d[25]/8 + 
       (5*d[26])/6 + d[27]/2 + d[33] - d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2 + ((-7*d[2])/18 - (5*d[5])/2 + d[6]/2 + 
       (11*d[7])/6 + (5*d[8])/2 - (11*d[9])/4 + (7*d[10])/3 - (5*d[11])/3 - 
       (19*d[12])/24 - d[13]/4 + (5*d[14])/2 - (35*d[16])/12 + d[17]/2 - 
       d[18]/2 + (13*d[19])/12 + (3*d[20])/4 + (7*d[21])/6 - d[22]/12 + 
       d[23]/4 - (29*d[24])/6 - d[27]/3 + d[28]/3 - d[29]/12 + (4*d[30])/3 + 
       (7*d[33])/6 - (7*d[34])/6)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2 + ((-7*d[2])/6 + d[5] + (3*d[11])/8 + 
       (29*d[12])/12 + (5*d[13])/8 - (3*d[14])/4 - d[19]/8 - (77*d[20])/12 - 
       (29*d[23])/12 + d[24]/24)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2 + 
     (-d[2]/12 + d[5]/2 + d[6]/12 - d[7]/6 + d[8]/6 + d[9]/6 + (5*d[10])/12 - 
       d[11]/4 - (5*d[12])/6 - d[15]/3 - (5*d[16])/8 + d[18]/2 + d[19]/2 + 
       (5*d[20])/12 + d[21]/3 + d[22]/2 - d[23]/2 - (43*d[24])/24)*
      HPL[{0, 1}, 1 - u]^3 + ((-3*d[5])/4 - (13*d[6])/48 - d[7]/4 + d[8] - 
       d[9] + (25*d[10])/12 - d[11]/8 - (5*d[12])/12 - (11*d[15])/24 - 
       (8*d[16])/3 + d[17]/4 - (5*d[18])/4 + (23*d[19])/24 - d[20]/12 + 
       (29*d[21])/24 + (11*d[22])/24 - (253*d[24])/96 - d[26]/12 + d[27]/4 + 
       d[33]/2 - d[34]/2)*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - v] + 
     (-d[2]/18 - (5*d[4])/9 - d[5]/9 - (95*d[6])/48 + (7*d[7])/48 + 
       (5*d[8])/144 - (61*d[9])/144 + (11*d[10])/18 + (19*d[11])/24 + 
       (37*d[12])/72 - d[13]/18 + d[14]/3 - d[15]/12 - 2*d[16] + 
       (23*d[17])/4 - (293*d[18])/36 + d[19]/4 + (391*d[20])/144 + 
       (103*d[21])/36 - (13*d[22])/36 + (353*d[23])/144 + (691*d[24])/144 - 
       (5*d[26])/18 + (5*d[27])/9 + (2*d[33])/9 - (2*d[34])/9)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     (-d[2]/12 + (11*d[4])/12 + d[5]/24 - (11*d[6])/12 + (33*d[7])/16 - 
       (79*d[8])/144 + (65*d[9])/144 - (5*d[10])/24 - (115*d[11])/36 - 
       (295*d[12])/72 + (5*d[13])/24 - d[14]/12 + d[15]/8 + (17*d[16])/4 - 
       (65*d[17])/12 + (55*d[18])/6 - (49*d[19])/72 - (115*d[20])/9 - 
       (49*d[21])/18 + (5*d[22])/24 - (347*d[23])/72 + (745*d[24])/144 - 
       (43*d[27])/36 - (5*d[33])/9 + (5*d[34])/9)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v] + 
     (-d[3]/6 + d[5]/6 + (77*d[6])/72 + (55*d[7])/18 + (13*d[8])/6 - 
       (13*d[9])/6 - (7*d[10])/4 + (53*d[11])/36 + (43*d[12])/18 - d[13]/2 + 
       2*d[14] + (8*d[15])/9 + d[16]/6 - (2*d[17])/9 + (19*d[18])/9 - 
       (8*d[19])/9 - (209*d[20])/72 - (41*d[21])/36 - (8*d[22])/9 + 
       (5*d[23])/6 - (85*d[24])/144 + d[26]/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v] + 
     (-d[5] - (27*d[7])/16 + (103*d[8])/48 - (71*d[9])/48 + (19*d[10])/8 - 
       (19*d[11])/24 - d[12]/3 + d[13]/4 - (17*d[14])/16 - 4*d[16] + 
       (2*d[19])/3 - (5*d[20])/48 + (2*d[21])/3 - (29*d[23])/48 - 
       (173*d[24])/24 + d[27]/3 + (2*d[33])/3 - (2*d[34])/3)*
      HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v] + 
     (d[2]/12 - d[3]/18 - (11*d[4])/18 + d[5]/2 + (19*d[6])/36 - d[9]/9 - 
       d[10]/4 - (13*d[11])/36 + (11*d[12])/24 + (5*d[13])/6 - (3*d[14])/2 + 
       (11*d[15])/9 + (31*d[16])/36 - (4*d[17])/9 + (16*d[18])/9 - 
       (5*d[19])/4 + (41*d[20])/48 - (4*d[21])/3 - (23*d[22])/12 - 
       (29*d[23])/48 + (109*d[24])/72 + (5*d[26])/18 + d[31]/18 + d[32]/18 - 
       d[34]/18)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (d[2]/3 - d[3]/6 - d[5]/6 + (29*d[6])/12 - d[7] - d[8]/6 + d[9]/2 - 
       (2*d[10])/3 - (7*d[11])/6 + (533*d[12])/72 + d[13]/3 - (5*d[14])/12 + 
       (11*d[15])/2 + (2*d[16])/3 - (23*d[17])/6 + (56*d[18])/3 - 
       (31*d[19])/6 - (781*d[20])/144 - (47*d[21])/6 - (37*d[22])/6 - 
       (1009*d[23])/144 + (119*d[24])/18 + (4*d[26])/3 + d[27]/6 + d[33]/3 - 
       d[34]/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + (d[2]/9 + (2*d[3])/3 - d[4]/2 - (19*d[5])/4 + 
       d[6]/2 - (113*d[7])/12 + (21*d[8])/2 - (17*d[9])/2 + (38*d[10])/3 - 
       (13*d[11])/4 - (107*d[12])/12 - (2*d[13])/3 - (5*d[14])/3 - 
       (17*d[15])/2 - (113*d[16])/6 + (4*d[17])/3 - (4*d[18])/3 + 
       (35*d[19])/3 + (491*d[20])/24 + (37*d[21])/3 + (47*d[22])/6 + 
       (5*d[23])/12 - (181*d[24])/4 + (19*d[27])/12 - d[28]/6 + (2*d[30])/3 + 
       (19*d[33])/6 - (19*d[34])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (-d[2]/6 + (5*d[4])/4 - (5*d[5])/8 + (19*d[7])/24 - (7*d[8])/8 + 
       (3*d[9])/2 - (13*d[10])/8 - (7*d[11])/24 + (95*d[12])/24 - d[13]/4 + 
       (4*d[14])/3 + (15*d[15])/8 + (5*d[16])/4 + d[17]/2 - (15*d[19])/8 + 
       d[20]/6 - (15*d[21])/4 - (15*d[22])/8 - (85*d[23])/24 + 
       (127*d[24])/24 - (5*d[27])/4)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + (d[2]/6 + d[4] + (7*d[6])/12 - d[9]/6 - d[10]/6 + 
       (11*d[11])/12 + (5*d[12])/3 - d[13]/2 + (3*d[14])/2 + d[15]/4 - 
       d[16]/24 - (7*d[17])/24 + (79*d[18])/24 - d[19]/4 - (19*d[20])/6 - 
       (23*d[21])/12 + (3*d[22])/4 - (5*d[23])/6 - d[24]/8 + d[26]/12 + 
       d[32]/12)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((2*d[2])/9 + (4*d[4])/3 + (17*d[5])/12 - (73*d[6])/144 + d[7]/3 - 
       (5*d[8])/4 + (23*d[9])/12 - (173*d[10])/36 - (2*d[11])/9 + 
       (1957*d[12])/144 + (3*d[13])/2 + (5*d[14])/2 - (19*d[15])/36 + 
       (58*d[16])/9 - (5*d[17])/4 + (11*d[18])/12 - (23*d[19])/36 + 
       (1457*d[20])/144 - (11*d[21])/9 + (43*d[22])/36 - (175*d[23])/48 - 
       (29*d[24])/36 - (13*d[26])/36 - (5*d[27])/4 - (7*d[33])/6 + 
       (7*d[34])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v] + (d[2]/6 - (5*d[4])/2 + (7*d[5])/3 - (5*d[6])/16 - 
       (13*d[7])/48 - (223*d[8])/144 - (37*d[9])/144 - (65*d[10])/48 + 
       (521*d[11])/144 - (383*d[12])/144 + (4*d[13])/3 - (55*d[14])/24 - 
       (141*d[15])/16 + (35*d[16])/24 + (9*d[17])/4 + (1189*d[19])/144 - 
       (311*d[20])/72 + (797*d[21])/72 + (141*d[22])/16 - (241*d[23])/36 - 
       (2033*d[24])/144 + (5*d[26])/16 + (20*d[27])/9 - (5*d[33])/9 + 
       (5*d[34])/9)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     (-d[1]/18 - d[2]/9 + (3*d[5])/4 - (5*d[6])/24 + d[7]/4 - d[8] + d[9] - 
       (5*d[10])/3 + (3*d[11])/4 - (7*d[12])/48 + d[14] - (17*d[15])/24 + 
       (11*d[16])/6 + d[17]/2 - (5*d[18])/2 + (5*d[19])/24 + (121*d[20])/48 + 
       (29*d[21])/24 + (17*d[22])/24 + (107*d[23])/48 + (115*d[24])/96 - 
       d[26]/3 - d[27]/4 - d[33]/2 + d[34]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     (-d[2]/6 - (5*d[5])/12 + d[7]/2 - d[8]/12 - d[9]/12 - d[10]/2 + 
       (5*d[11])/12 - (479*d[12])/144 - (25*d[13])/24 + (17*d[14])/6 + 
       12*d[15] + d[16] - 3*d[17] - (73*d[19])/6 - (83*d[20])/72 - 
       (73*d[21])/6 - 12*d[22] + (2225*d[23])/144 + (2045*d[24])/72 - 
       d[27]/12 - d[33]/6 + d[34]/6)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v] + (d[2]/12 - d[5]/2 - (17*d[12])/12 - d[13]/2 - 
       d[14]/4 + (25*d[20])/24 + (7*d[23])/24 + d[24]/12)*HPL[{1}, 1 - w]^4*
      HPL[{0, 1}, 1 - v] + (-d[2]/2 + (4*d[3])/3 + (2*d[4])/3 - (13*d[5])/2 + 
       (145*d[6])/72 - (5*d[7])/12 + (23*d[8])/3 - (33*d[9])/4 + 
       (511*d[10])/36 - (73*d[11])/18 + (205*d[12])/36 - (2*d[13])/3 + 
       d[14]/2 + (31*d[15])/18 - (271*d[16])/18 - (7*d[17])/12 + 
       (49*d[18])/4 + (29*d[19])/18 + (89*d[20])/36 - (47*d[21])/36 - 
       (11*d[22])/9 - (37*d[23])/12 - (1589*d[24])/144 + (11*d[26])/36 + 
       (13*d[27])/12 - (2*d[31])/3 - d[32]/3 + (13*d[33])/3 - (11*d[34])/3 - 
       2*d[36])*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((-4*d[3])/3 - (2*d[4])/3 + 5*d[5] - (163*d[6])/72 - (77*d[7])/24 - 
       (215*d[8])/72 + (175*d[9])/72 - (91*d[10])/9 + (205*d[11])/36 - 
       (5*d[12])/6 + (11*d[13])/6 + (13*d[14])/3 - (35*d[15])/9 + 
       (157*d[16])/18 - (13*d[17])/6 + (3*d[18])/2 + (7*d[19])/3 - 
       (3*d[20])/8 + 4*d[21] + (44*d[22])/9 - (119*d[23])/72 - (16*d[24])/3 + 
       d[26]/9 + (8*d[27])/9 + d[29]/6 - (23*d[33])/9 + (23*d[34])/9 + 
       (2*d[35])/3 + 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((4*d[3])/3 - d[4]/3 - (11*d[5])/12 + d[6]/6 + (27*d[7])/8 + 
       (17*d[8])/72 - (7*d[9])/72 + d[10]/12 - (29*d[11])/36 + d[12]/18 + 
       (23*d[13])/12 - (13*d[14])/6 + (3*d[15])/4 + (13*d[16])/6 - d[17]/12 - 
       (3*d[18])/4 - (55*d[19])/36 + (197*d[20])/72 - (23*d[21])/18 - 
       (9*d[22])/4 + (55*d[23])/36 + (47*d[24])/36 - (17*d[27])/36 - 
       (2*d[31])/3 - d[32]/3 + (13*d[33])/18 - d[34]/18 - 2*d[36])*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((-7*d[2])/18 - (5*d[3])/3 + (2*d[4])/3 + (31*d[5])/6 - (7*d[6])/12 - 
       (10*d[7])/3 - d[8]/6 + (17*d[9])/6 - d[10]/6 + (37*d[11])/6 - 
       (35*d[12])/36 + 5*d[13] - 2*d[14] - d[15]/6 - (11*d[16])/2 - 
       (41*d[17])/6 + (3*d[18])/2 + (13*d[19])/6 - (281*d[20])/72 - 
       (13*d[21])/6 + (7*d[22])/2 + d[23]/72 - (565*d[24])/72 - d[25]/2 + 
       d[26]/6 + (11*d[27])/6 + d[31]/3 - d[32]/3 - d[33] + (2*d[34])/3 + 
       4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((2*d[2])/3 - (8*d[3])/3 + d[4]/3 + d[5]/3 - 
       d[6]/3 - (3*d[7])/2 + (26*d[8])/3 - (17*d[9])/3 + (19*d[10])/3 - 
       d[11]/6 - (37*d[12])/9 - (17*d[13])/2 + (5*d[14])/6 - (7*d[15])/6 - 
       (37*d[16])/3 + (5*d[17])/6 + (7*d[18])/6 + 3*d[19] - (445*d[20])/72 + 
       3*d[21] + (10*d[22])/3 - (181*d[23])/72 - (691*d[24])/36 + d[26]/3 + 
       d[27]/6 + (4*d[31])/3 + (2*d[32])/3 - d[33]/3 - d[34] + 4*d[36])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (d[2] - d[11]/6 - d[12]/3 - d[14]/2 + (31*d[20])/12 + (7*d[23])/3 - 
       (23*d[24])/6)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + (-d[2]/3 - d[4]/3 + (29*d[5])/12 + d[6]/3 + 
       d[7]/6 + (11*d[8])/12 - (3*d[9])/4 - d[10]/2 + (7*d[11])/4 - 
       (5*d[12])/12 - d[14]/2 - (25*d[15])/12 - (7*d[16])/6 - d[17]/12 - 
       (5*d[18])/12 + (13*d[19])/6 + (17*d[20])/12 + (5*d[21])/2 + 
       (13*d[22])/6 + (5*d[23])/12 - (16*d[24])/3 - d[25]/12 + (5*d[27])/12 - 
       d[28]/6 - d[29]/4 - (2*d[30])/3)*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v] + (-d[2]/12 + d[3]/4 - d[4]/12 - (3*d[5])/2 + 
       (25*d[6])/24 - d[7]/2 + 2*d[8] - (3*d[9])/2 + (41*d[10])/12 - 
       (7*d[11])/12 + d[12] - d[13]/12 - d[14]/4 + (41*d[15])/24 - 
       (23*d[16])/6 - 2*d[17] + 6*d[18] - (7*d[19])/8 + (5*d[20])/6 - 
       (5*d[21])/2 - (15*d[22])/8 - (13*d[23])/24 - (163*d[24])/48 + d[26] + 
       d[27]/2 - d[31]/4 + d[32]/12 + d[33] - (3*d[34])/4)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]^2 + (-d[4] + (11*d[5])/6 - d[6] - (7*d[7])/3 + 
       d[8]/3 - d[9]/3 - (37*d[10])/12 + (19*d[11])/12 - (115*d[12])/24 - 
       (5*d[13])/4 + (7*d[14])/6 + (13*d[15])/12 + (5*d[16])/12 + d[17] - 
       (16*d[18])/3 - (7*d[19])/4 - (23*d[20])/24 + (5*d[21])/3 - 
       (5*d[22])/4 + (47*d[23])/8 + (23*d[24])/12 - (7*d[26])/12 + 
       (2*d[27])/3 - d[28]/6 - d[29]/12 + (2*d[30])/3 - d[33]/2 + d[34]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2 + 
     (d[5] + (9*d[7])/4 - (47*d[8])/24 + (31*d[9])/24 - (25*d[10])/16 + 
       (7*d[11])/24 - (7*d[12])/24 - (7*d[13])/4 - (5*d[14])/8 - d[15] + 
       4*d[16] + d[19]/3 + (19*d[20])/24 + d[21]/3 + d[22] + (7*d[23])/24 + 
       (355*d[24])/48 - d[27]/3 - d[28]/8 + d[30]/2 - (2*d[33])/3 + 
       (2*d[34])/3)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]^2 + 
     ((-5*d[2])/6 + d[3]/2 + d[4]/6 + (5*d[5])/2 - (55*d[6])/24 + d[7]/2 - 
       2*d[8] + (5*d[9])/3 - (13*d[10])/3 - (3*d[11])/2 + (13*d[12])/6 + 
       (2*d[13])/3 - d[14]/3 + (11*d[15])/3 + (35*d[16])/6 - (47*d[17])/12 + 
       (41*d[18])/12 - (19*d[19])/4 - (19*d[20])/12 - (19*d[21])/4 - 
       (37*d[22])/12 + (29*d[23])/12 + (125*d[24])/16 + d[25]/12 + d[26]/4 - 
       d[27]/2 - d[31]/2 - d[32]/2 - d[33] + (3*d[34])/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     ((7*d[2])/12 - (5*d[5])/4 + d[7]/4 + (35*d[8])/12 - (19*d[9])/12 + 
       (15*d[10])/4 - (5*d[11])/6 - (17*d[12])/24 + 2*d[13] - (7*d[14])/4 + 
       2*d[15] - 8*d[16] - (2*d[19])/3 + (17*d[20])/24 - (2*d[21])/3 - 
       2*d[22] + (29*d[23])/24 - (95*d[24])/24 + (2*d[27])/3 + d[28]/4 - 
       d[30] + (4*d[33])/3 - (4*d[34])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2 + ((5*d[2])/12 - (3*d[4])/2 - d[5] - d[12]/6 - 
       d[13]/4 - d[14]/8 + (3*d[16])/4 - (3*d[18])/2 - (41*d[20])/24 + 
       (3*d[21])/2 - (3*d[22])/2 + (7*d[23])/24 + (25*d[24])/12)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2 + 
     (-d[4]/3 + d[5]/6 - d[6]/4 - (13*d[7])/12 + d[8]/12 + (11*d[9])/12 - 
       d[10]/4 - (7*d[11])/12 - (7*d[12])/4 + (2*d[14])/3 + d[15]/12 - 
       d[16]/3 - (2*d[17])/3 + (4*d[18])/3 + d[19]/4 - d[20]/2 + d[21]/2 + 
       (5*d[22])/12 + (11*d[23])/12 - d[24]/3 + d[25]/6 - d[26]/12 + 
       d[27]/3 + d[29]/12 + d[32]/3 - d[33]/6 + d[34]/6)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2 + (d[3]/12 - d[4]/12 + d[5]/4 - d[6]/12 + 
       d[7]/12 + d[8]/6 - d[9]/12 + (5*d[10])/12 + (2*d[11])/3 + d[12]/4 - 
       (2*d[13])/3 - d[14]/12 + d[15]/2 - (5*d[16])/8 - d[17]/12 + d[18]/12 - 
       (5*d[19])/12 - (7*d[20])/24 - d[21]/2 - d[22]/2 + d[23]/6 - d[24]/12 - 
       d[25]/12 - d[28]/12 - d[29]/24 + d[30]/3 - d[32]/12 + d[33]/12)*
      HPL[{0, 1}, 1 - v]^3 + (-d[3]/16 + (3*d[5])/4 + (5*d[6])/16 + d[7]/4 - 
       d[8] + d[9] - (11*d[10])/4 + (3*d[11])/4 - d[12] - (29*d[15])/8 + 
       2*d[16] + (21*d[17])/8 - (21*d[18])/4 + (25*d[19])/8 + (93*d[20])/32 + 
       (35*d[21])/8 + (27*d[22])/8 - (45*d[23])/16 - (91*d[24])/16 - 
       d[26]/4 - d[27]/4 - d[33]/2 + d[34]/2)*HPL[{1}, 1 - u]^4*
      HPL[{0, 1}, 1 - w] + (-d[4]/3 - d[5]/3 - (5*d[6])/18 + (151*d[7])/144 + 
       (23*d[8])/144 - (5*d[9])/48 + (29*d[10])/9 - d[11]/8 - 
       (41*d[12])/144 - (11*d[13])/36 - (2*d[14])/3 + (16*d[15])/9 - 
       (23*d[16])/18 - d[17]/2 + (31*d[18])/9 - (29*d[19])/18 + 
       (43*d[20])/18 - d[21]/3 - (23*d[22])/9 + (89*d[23])/36 + 
       (79*d[24])/12 - d[26]/18 + d[27]/9 + (2*d[33])/9 - (2*d[34])/9)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((2*d[4])/3 - (5*d[5])/6 + (7*d[6])/12 - (3*d[7])/4 + (11*d[8])/12 - 
       d[9]/4 + (5*d[10])/3 - d[11]/2 + (4*d[12])/3 + d[13]/3 - d[15]/6 - 
       d[16] + d[17]/12 + (10*d[18])/3 + d[19]/2 - (167*d[20])/48 - d[21]/3 - 
       d[22]/6 - (11*d[23])/2 - (91*d[24])/16 + d[26]/6 - d[27]/2 + d[33]/3 - 
       d[34]/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     (-d[3]/18 - (7*d[5])/12 - (9*d[6])/16 - d[7]/9 + (67*d[8])/36 - 
       (67*d[9])/36 + (49*d[10])/36 - (8*d[11])/9 + (17*d[12])/144 + 
       d[13]/3 + d[14] + (35*d[15])/36 - (14*d[16])/9 - (5*d[17])/36 + 
       d[18]/4 - (7*d[19])/12 + (117*d[20])/16 - (25*d[21])/18 - 
       (3*d[22])/4 + (55*d[23])/144 - (307*d[24])/72 + (7*d[26])/36 + 
       (7*d[27])/36 + (7*d[33])/18 - (7*d[34])/18)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w] + 
     (d[5]/2 - (11*d[7])/32 - (175*d[8])/96 + (143*d[9])/96 - (7*d[10])/4 + 
       (73*d[11])/48 + (59*d[12])/48 + (13*d[14])/16 + 3*d[15] + 2*d[16] - 
       (3*d[17])/4 - (10*d[19])/3 - (133*d[20])/96 - (10*d[21])/3 - 3*d[22] + 
       (163*d[23])/48 + (229*d[24])/24 - d[27]/6 - d[33]/3 + d[34]/3)*
      HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w] + 
     ((5*d[2])/12 + (5*d[4])/12 + (49*d[5])/24 - (49*d[6])/24 + (9*d[7])/8 - 
       (83*d[8])/24 + (11*d[9])/3 - (115*d[10])/24 + d[11]/8 + 
       (97*d[12])/48 + d[13]/6 - d[14]/2 + (23*d[15])/6 + (115*d[16])/12 - 
       (13*d[17])/3 + 5*d[18] - (17*d[19])/3 - (79*d[20])/24 - (53*d[21])/8 - 
       (19*d[22])/6 + (113*d[23])/24 + (685*d[24])/32 - d[26]/3 - 
       (4*d[27])/3 - (11*d[33])/6 + (11*d[34])/6)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((2*d[2])/3 + (13*d[5])/12 - d[6] + (7*d[7])/24 - (35*d[8])/24 + 
       (23*d[9])/24 - (79*d[10])/12 - (5*d[11])/12 + (353*d[12])/48 + 
       (23*d[13])/24 - (2*d[14])/3 + (41*d[15])/12 + (37*d[16])/6 - 
       (53*d[17])/6 + (61*d[18])/3 - (47*d[19])/12 - (1495*d[20])/48 - 
       10*d[21] - (11*d[22])/4 - (101*d[23])/12 + 14*d[24] + (19*d[26])/12 - 
       d[27]/4 - d[33]/2 + d[34]/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (-d[2]/2 - d[4]/6 - 5*d[5] + (23*d[6])/72 - (59*d[7])/12 + 
       (187*d[8])/12 - (53*d[9])/4 + (79*d[10])/18 - (77*d[11])/18 - 
       (25*d[12])/144 - (2*d[13])/3 - (5*d[14])/3 - (703*d[15])/72 - 
       (181*d[16])/9 + (13*d[17])/6 - (11*d[18])/2 + (943*d[19])/72 + 
       (2845*d[20])/144 + (1039*d[21])/72 + (655*d[22])/72 + (79*d[23])/48 - 
       (14831*d[24])/288 - (2*d[26])/9 + (5*d[27])/3 - d[28]/6 + 
       (2*d[30])/3 + (10*d[33])/3 - (10*d[34])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (-d[2]/6 + (5*d[4])/12 + (7*d[5])/8 + (5*d[6])/6 + (65*d[7])/24 + 
       (41*d[8])/72 - (35*d[9])/36 + d[10]/8 - (229*d[11])/72 - 
       (475*d[12])/144 + (15*d[13])/8 - (5*d[14])/3 - (47*d[15])/8 + 
       (29*d[16])/12 + (3*d[17])/2 + (379*d[19])/72 - (79*d[20])/72 + 
       (257*d[21])/36 + (47*d[22])/8 - (611*d[23])/144 - (235*d[24])/36 - 
       (5*d[26])/6 - (13*d[27])/18 - (11*d[33])/18 + (11*d[34])/18)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((-91*d[2])/72 - (191*d[5])/48 - (3*d[6])/16 - (21*d[7])/16 + 
       (35*d[8])/8 - (35*d[9])/8 + (15*d[10])/2 - (11*d[11])/16 - 
       (5*d[12])/2 - (55*d[13])/24 + (13*d[14])/8 - (3*d[15])/2 - 
       (21*d[16])/2 + 2*d[17] - (11*d[18])/2 + (27*d[19])/8 - (41*d[20])/24 + 
       (27*d[21])/8 + (3*d[22])/2 + (5*d[23])/24 - (187*d[24])/24 + 
       (15*d[27])/16 + (15*d[33])/8 - (15*d[34])/8)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     ((-3*d[2])/2 + (2*d[7])/3 - 2*d[8] + 2*d[9] + (2*d[11])/3 - 
       (13*d[12])/6 - d[13] + (11*d[14])/2 - (5*d[15])/6 + (7*d[17])/3 - 
       (17*d[18])/3 + (5*d[19])/6 - (5*d[20])/12 + (5*d[21])/6 + 
       (5*d[22])/6 + (121*d[23])/24 - (13*d[24])/8)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (d[2]/3 + (13*d[5])/24 - (15*d[6])/16 + (13*d[7])/16 - (27*d[8])/16 + 
       (27*d[9])/16 - (15*d[10])/16 - (5*d[11])/16 + (209*d[12])/36 - 
       (29*d[13])/24 + (7*d[14])/6 + (45*d[15])/16 + (15*d[16])/8 + 
       (3*d[17])/4 - (45*d[19])/16 - (587*d[20])/144 - (45*d[21])/8 - 
       (45*d[22])/16 - (77*d[23])/9 + (1073*d[24])/144 + (15*d[26])/16)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (d[1]/12 + d[2] + (3*d[5])/4 + (5*d[6])/24 - d[10]/3 - d[11]/3 - 
       (19*d[12])/12 + (3*d[13])/4 + d[14]/4 + (13*d[15])/12 + (2*d[16])/3 - 
       d[17] + 4*d[18] - (13*d[19])/12 + (179*d[20])/24 - (25*d[21])/12 - 
       (13*d[22])/12 + (21*d[23])/8 - (97*d[24])/48 + d[26]/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w] + 
     (-d[2]/3 - d[5] - (5*d[7])/4 + (25*d[8])/12 - (17*d[9])/12 + 2*d[10] - 
       d[11]/6 - (47*d[12])/24 + d[13]/4 - (13*d[14])/4 - 4*d[16] + 
       (2*d[19])/3 + (11*d[20])/24 + (2*d[21])/3 - d[23]/24 - (85*d[24])/12 + 
       d[27]/3 + (2*d[33])/3 - (2*d[34])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - w] + (-d[2]/6 + (23*d[12])/12 + d[14]/2 - 
       (103*d[20])/24 - (31*d[23])/24 + (11*d[24])/12)*HPL[{1}, 1 - w]^4*
      HPL[{0, 1}, 1 - w] + ((-3*d[4])/4 + (11*d[5])/2 - (5*d[6])/4 + 
       (11*d[7])/6 - (22*d[8])/3 + (22*d[9])/3 - (85*d[10])/6 + (7*d[11])/3 - 
       (65*d[12])/12 - (77*d[15])/6 + (52*d[16])/3 - (31*d[17])/24 + 
       (11*d[18])/8 + (113*d[19])/12 + (151*d[20])/24 + (137*d[21])/12 + 
       (37*d[22])/3 - (23*d[23])/4 - (337*d[24])/48 - (5*d[26])/8 - 
       (11*d[27])/6 - (11*d[33])/3 + (11*d[34])/3)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((2*d[3])/3 + (4*d[4])/3 - (17*d[5])/3 + (3*d[6])/4 + (37*d[7])/24 + 
       (47*d[8])/8 - (31*d[9])/8 + 10*d[10] - (67*d[11])/12 + (23*d[12])/24 - 
       4*d[14] + d[15]/6 - (21*d[16])/2 - (8*d[17])/3 + (26*d[18])/3 + 
       (13*d[19])/6 + (11*d[20])/12 - (11*d[21])/6 - d[22]/6 - 4*d[23] - 
       (223*d[24])/24 + d[26]/3 - (2*d[27])/3 + d[29]/6 + (7*d[33])/3 - 
       (7*d[34])/3 - d[35]/3 - 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (-d[2]/3 - (4*d[3])/3 + (5*d[4])/3 - (17*d[5])/12 + (13*d[6])/12 - 
       (11*d[7])/3 + (21*d[8])/4 - (9*d[9])/4 + (15*d[10])/4 + d[11] + 
       (5*d[12])/6 - (5*d[13])/3 + d[14]/3 - (7*d[15])/12 - (49*d[16])/6 + 
       (5*d[17])/12 + (7*d[18])/12 + (11*d[19])/6 - (13*d[20])/4 + 
       (11*d[21])/6 + (5*d[22])/3 - (25*d[23])/12 - (247*d[24])/12 - 
       (7*d[26])/12 + (5*d[27])/12 + (2*d[31])/3 + d[32]/3 + d[33]/6 - 
       (5*d[34])/6 + 2*d[36])*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + ((5*d[2])/18 - (55*d[5])/6 + (31*d[6])/12 - 
       (11*d[7])/6 + (22*d[8])/3 - (22*d[9])/3 + (40*d[10])/3 - 
       (19*d[11])/6 + (83*d[12])/8 - (11*d[13])/3 + (7*d[14])/2 + 
       (41*d[15])/3 - (47*d[16])/3 + (29*d[17])/12 + (31*d[18])/4 - 
       (41*d[19])/4 - (7*d[20])/3 - (57*d[21])/4 - (167*d[22])/12 + 
       (53*d[23])/12 + (255*d[24])/16 + d[25]/4 + (4*d[26])/3 + 
       (11*d[27])/6 + (11*d[33])/3 - (11*d[34])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((5*d[2])/9 + (8*d[3])/3 - (8*d[4])/3 - (2*d[6])/3 - (11*d[7])/12 - 
       (5*d[8])/4 - (11*d[9])/4 - (21*d[10])/2 - (4*d[11])/3 + d[12]/8 + 
       (89*d[13])/12 + (17*d[14])/3 + (3*d[15])/2 + 13*d[16] - d[17]/6 - 
       (3*d[18])/2 - (9*d[19])/2 - (7*d[20])/8 - 4*d[21] - (9*d[22])/2 - 
       d[23]/3 - (7*d[24])/6 + d[26] - d[27] - (4*d[31])/3 - (2*d[32])/3 + 
       (4*d[34])/3 - 4*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-121*d[2])/36 + (11*d[5])/3 - (3*d[7])/2 - (3*d[8])/2 + (3*d[9])/2 + 
       (17*d[12])/8 + (17*d[13])/12 - (5*d[14])/2 + (95*d[20])/24 + 
       (7*d[23])/6 - (11*d[24])/6)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + (d[2]/2 + d[3] - (3*d[4])/4 + (9*d[5])/8 + 
       d[6]/8 + (3*d[7])/8 - (3*d[8])/8 + d[9]/4 - (3*d[11])/4 - 
       (7*d[12])/8 - d[13]/2 - (3*d[14])/4 - (3*d[15])/4 + d[16]/8 + 
       d[18]/2 + d[19]/4 + (13*d[20])/8 + d[22]/4 - (3*d[23])/4 - 
       (11*d[24])/8 + d[26]/8 - d[27]/4 - d[29]/4 - d[35]/2 - 3*d[36])*
      HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w] + 
     (d[2]/6 - (4*d[3])/3 + d[4]/6 + (17*d[5])/12 + (9*d[6])/4 - 
       (11*d[7])/12 - (9*d[8])/4 + 3*d[9] - (19*d[10])/12 + d[11] - 
       (53*d[12])/12 + (5*d[13])/6 + (2*d[14])/3 + (7*d[15])/4 + 
       (35*d[16])/12 - (17*d[17])/12 + (33*d[18])/4 - (11*d[19])/6 + 
       (5*d[20])/24 - (13*d[21])/3 - 2*d[22] - (5*d[23])/4 + (5*d[24])/6 - 
       d[25]/12 + d[26]/3 - d[27]/2 + (2*d[31])/3 - d[32]/12 - (7*d[33])/6 + 
       d[34]/2 + 2*d[36])*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((2*d[3])/3 + (4*d[4])/3 - (49*d[5])/6 + 
       (17*d[6])/72 - (7*d[7])/3 + (67*d[8])/6 - (55*d[9])/6 + 
       (235*d[10])/18 - (76*d[11])/9 + (475*d[12])/72 - (5*d[13])/2 - 
       2*d[14] + (109*d[15])/9 - (335*d[16])/18 - (7*d[17])/6 + 
       (17*d[18])/2 - (73*d[19])/9 - (211*d[20])/72 - (293*d[21])/18 - 
       (115*d[22])/9 - (127*d[23])/24 - (1097*d[24])/72 + (35*d[26])/18 + 
       d[27]/6 - d[28]/3 - d[29]/6 + (4*d[30])/3 + (14*d[33])/3 - 
       (14*d[34])/3 - d[35]/3 - 2*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-d[5]/3 - (67*d[7])/24 + (77*d[8])/72 - (97*d[9])/72 - (5*d[10])/24 - 
       (2*d[11])/9 + (23*d[12])/36 - (13*d[13])/12 + (13*d[14])/6 + 6*d[15] - 
       (4*d[16])/3 - (52*d[19])/9 - (313*d[20])/72 - (52*d[21])/9 - 6*d[22] + 
       (16*d[23])/9 + (403*d[24])/72 + d[27]/9 - d[28]/4 + d[30] + 
       (2*d[33])/9 - (2*d[34])/9)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + (d[1]/3 - (2*d[2])/3 + (8*d[3])/3 - (8*d[4])/3 + 
       (5*d[5])/2 - (41*d[6])/18 + (7*d[7])/2 - (7*d[8])/2 + 4*d[9] - 
       (199*d[10])/18 + (77*d[11])/18 + (887*d[12])/72 - (4*d[13])/3 - 
       (7*d[14])/3 - (133*d[15])/36 + (209*d[16])/18 - (11*d[17])/6 + 
       d[18]/2 - (23*d[19])/36 + (145*d[20])/72 + (229*d[21])/36 + 
       (25*d[22])/36 + (79*d[23])/24 + (2683*d[24])/144 - d[25]/6 - 
       (23*d[26])/18 - (4*d[27])/3 - (4*d[31])/3 - d[32]/3 - (4*d[33])/3 + 
       (8*d[34])/3 - 4*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-3*d[2])/2 + 3*d[5] - (25*d[7])/12 + (203*d[8])/36 - (151*d[9])/36 + 
       (29*d[10])/6 + (14*d[11])/9 + (145*d[12])/24 + (31*d[13])/4 - 
       (9*d[14])/2 + 12*d[15] - (26*d[16])/3 - (95*d[19])/9 - (127*d[20])/6 - 
       (95*d[21])/9 - 12*d[22] + (67*d[23])/24 - (5*d[24])/6 + 
       (13*d[27])/18 + d[28]/2 - 2*d[30] + (13*d[33])/9 - (13*d[34])/9)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((3*d[2])/2 - (11*d[5])/3 + (3*d[6])/2 - (5*d[11])/4 - (331*d[12])/72 - 
       (11*d[13])/3 + (4*d[14])/3 + (3*d[17])/2 + (3*d[18])/2 - 
       (23*d[20])/72 + (79*d[23])/72 + (97*d[24])/36)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((2*d[4])/3 - (11*d[5])/6 - d[6]/2 + d[7] - (5*d[8])/6 - (5*d[9])/6 + 
       (7*d[10])/6 - (5*d[11])/3 + d[12]/6 + d[14]/3 + d[15]/3 + 
       (11*d[16])/3 + d[17]/6 - (11*d[18])/6 - (5*d[19])/6 - d[20]/2 - 
       3*d[21] + d[22]/6 - (3*d[23])/2 + (19*d[24])/4 - d[25]/6 - d[26]/6 - 
       (5*d[27])/6 + d[29]/3 - d[33] + d[34])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (d[2]/2 + d[3] - (3*d[4])/4 - (3*d[5])/4 + d[6]/4 - d[7]/8 + d[8]/2 - 
       (11*d[9])/8 + (3*d[10])/8 + (9*d[12])/4 - 2*d[13] - (7*d[14])/4 + 
       d[15]/2 - 2*d[16] + d[17]/8 + d[18]/8 - (5*d[19])/8 - (5*d[20])/8 - 
       d[21]/4 - (9*d[22])/8 - (7*d[23])/8 - (27*d[24])/8 + d[25]/8 - 
       d[27]/8 - d[28]/4 - d[29]/8 + d[30] + d[33]/2 - d[34]/2 - d[35]/2 - 
       3*d[36])*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     ((3*d[4])/8 + (3*d[5])/2 - (11*d[6])/48 + d[7]/2 - 2*d[8] + 2*d[9] - 
       (13*d[10])/3 + d[11]/6 + (49*d[12])/24 - d[15]/24 + (17*d[16])/3 - 
       (31*d[17])/16 + (73*d[18])/16 - (13*d[19])/12 + d[20]/48 - 
       (7*d[21])/3 + (7*d[22])/24 - (7*d[23])/4 + (23*d[24])/12 + 
       (19*d[26])/48 - d[27]/2 - d[33] + d[34])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]^2 + (-d[4] - d[5]/6 + (29*d[6])/24 - (4*d[7])/3 + 
       3*d[8] - (8*d[9])/3 + (8*d[10])/3 + (4*d[11])/3 - (5*d[12])/24 - 
       (7*d[13])/4 - (11*d[14])/6 + (23*d[15])/12 - (65*d[16])/12 - 2*d[17] + 
       (20*d[18])/3 - (5*d[19])/4 + d[20]/6 + (5*d[21])/12 - (25*d[22])/12 + 
       (11*d[23])/3 - (43*d[24])/48 + (4*d[27])/3 - d[28]/6 - d[29]/12 + 
       (2*d[30])/3 + (5*d[33])/6 - (5*d[34])/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     ((-3*d[5])/2 - (5*d[7])/2 + (29*d[8])/8 - (25*d[9])/8 + (55*d[10])/16 - 
       (3*d[11])/8 + d[12]/4 - (5*d[13])/8 + d[14]/8 + d[15] - 6*d[16] - 
       d[20] - d[22] - d[23]/4 - (141*d[24])/16 + d[27]/2 - d[28]/8 + 
       d[30]/2 + d[33] - d[34])*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2 + 
     (-d[2]/4 - d[5] - (13*d[6])/12 + d[10]/3 + d[11]/3 - (7*d[12])/2 - 
       d[13] + d[14]/4 + (37*d[15])/24 - (2*d[16])/3 - (3*d[17])/8 - 
       (43*d[18])/8 - (17*d[19])/12 - (11*d[20])/4 - (5*d[21])/12 - 
       (17*d[22])/12 + (125*d[23])/24 + (31*d[24])/8 + d[25]/8 - d[26]/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2 + 
     (d[2]/12 + (11*d[5])/4 + 3*d[7] - (10*d[8])/3 + (8*d[9])/3 - 
       (9*d[10])/4 - d[11]/3 + d[12]/12 + 3*d[13] + d[14]/4 - 2*d[15] + 
       4*d[16] + (4*d[19])/3 - (5*d[20])/24 + (4*d[21])/3 + 2*d[22] + 
       (7*d[23])/24 + (107*d[24])/24 - d[27]/3 + d[28]/4 - d[30] - 
       (2*d[33])/3 + (2*d[34])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2 + (-d[2]/6 - (7*d[12])/6 - d[14]/2 + (8*d[20])/3 + 
       (5*d[23])/12 + d[24]/3)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2 + 
     (-d[4]/4 + (5*d[5])/8 + d[6]/8 - d[7]/8 + (5*d[8])/8 + d[9]/4 + 
       d[10]/2 + d[11]/2 + d[12]/8 - d[14]/2 + d[15]/2 - 2*d[16] - d[17]/2 + 
       (3*d[18])/2 - d[19]/4 + d[20]/2 - d[21]/4 - d[22]/2 + d[23]/2 - 
       d[24]/8 + d[26]/8 + d[27]/4 - d[29]/8 + d[33]/4 - d[34]/4)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2 + 
     (-d[4]/4 - d[5]/4 - d[6]/4 - (3*d[7])/8 + (5*d[8])/4 - (3*d[9])/8 + 
       (5*d[10])/8 + 2*d[11] + d[12]/4 - 2*d[13] - d[14] - d[15] - 
       (11*d[16])/4 - d[17]/8 - d[18]/8 + (11*d[19])/8 + d[20]/2 + 
       (3*d[21])/2 + (7*d[22])/8 - (5*d[23])/8 - (13*d[24])/4 - d[25]/8 + 
       (3*d[27])/8 - d[28]/4 - d[29]/8 + d[30] + d[33]/2 - d[34]/2)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     (-d[3]/3 + (17*d[6])/6 - (4*d[10])/3 - (4*d[11])/3 + 5*d[12] + 
       (13*d[15])/6 + (8*d[16])/3 - (23*d[17])/6 + (31*d[18])/2 - 2*d[19] + 
       (7*d[20])/3 - 6*d[21] - 2*d[22] - (9*d[23])/2 - (37*d[24])/12 + 
       (4*d[26])/3)*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - u] + 
     (-d[2]/3 + (3*d[5])/2 + d[6] - (55*d[7])/12 - (25*d[8])/12 + d[9]/12 - 
       (13*d[10])/3 - (7*d[11])/3 - (11*d[12])/6 + (8*d[13])/3 - 
       (2*d[14])/3 + d[15]/3 + 8*d[16] - (2*d[17])/3 + (4*d[18])/3 - 
       2*d[19] + (25*d[20])/12 - d[21] - d[22]/3 - (11*d[23])/3 - 
       (65*d[24])/4 - d[26]/3 - (5*d[27])/6 + d[28]/6 + d[29]/6 + 
       (2*d[30])/3 - (5*d[33])/3 + (5*d[34])/3 + d[35]/6)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (-d[2]/3 + d[5]/4 - (83*d[6])/144 + (17*d[7])/12 + (4*d[9])/3 - 
       (37*d[10])/36 + (5*d[11])/9 + (2*d[12])/9 + (4*d[13])/3 - 
       (5*d[14])/3 - (61*d[15])/72 - d[16]/9 + d[17]/4 - (23*d[18])/12 + 
       (49*d[19])/72 + (22*d[20])/9 + (79*d[21])/72 + (61*d[22])/72 - 
       (25*d[23])/12 - (311*d[24])/288 - (5*d[26])/36 - d[27]/12 + d[28]/6 + 
       (2*d[30])/3 - d[33]/6 + d[34]/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - u] + ((5*d[5])/12 + (17*d[7])/16 - (107*d[8])/144 + 
       (67*d[9])/144 - (5*d[10])/6 - d[11]/72 - (37*d[12])/144 - d[13]/2 + 
       d[14]/18 + (5*d[16])/3 - (5*d[19])/18 + (29*d[20])/72 - (5*d[21])/18 + 
       (41*d[23])/72 + (119*d[24])/36 - (5*d[27])/36 - (5*d[33])/18 + 
       (5*d[34])/18)*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - u] + 
     ((-2*d[2])/3 + 2*d[4] - 4*d[5] + (5*d[6])/6 + 5*d[8] - 4*d[9] + 
       (23*d[10])/3 - (16*d[11])/3 + (19*d[12])/12 + d[14] + (17*d[15])/6 - 
       (16*d[16])/3 - d[17]/2 + (9*d[18])/2 - (5*d[19])/6 - (11*d[20])/6 - 
       (47*d[21])/6 - (17*d[22])/6 + (4*d[23])/3 - (107*d[24])/12 + 
       (4*d[26])/3 - d[27] + 2*d[33] - 2*d[34])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((2*d[2])/3 - (23*d[5])/3 + (13*d[6])/6 - (11*d[7])/3 + (14*d[8])/3 - 
       (14*d[9])/3 + (14*d[10])/3 - (5*d[11])/3 + (2*d[12])/3 - 
       (13*d[13])/3 + (2*d[14])/3 + (8*d[15])/3 - 10*d[16] - 2*d[17] + 
       10*d[18] - (2*d[19])/3 + (4*d[20])/3 - (8*d[21])/3 - (8*d[22])/3 - 
       2*d[23] - (47*d[24])/6 + (2*d[26])/3 + d[27] - (2*d[28])/3 - 
       (8*d[30])/3 + 2*d[33] - 2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((5*d[2])/36 - (7*d[5])/3 - (9*d[7])/2 + (25*d[8])/6 - (17*d[9])/6 + 
       4*d[10] - d[11]/3 + (19*d[12])/72 + d[13]/2 + (3*d[14])/2 - 8*d[16] + 
       (4*d[19])/3 + (199*d[20])/144 + (4*d[21])/3 - (203*d[23])/144 - 
       (1067*d[24])/72 + (2*d[27])/3 + (4*d[33])/3 - (4*d[34])/3)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((-2*d[2])/3 + (13*d[5])/4 - (65*d[6])/48 - (13*d[7])/12 + (5*d[8])/6 - 
       (5*d[9])/6 - (35*d[10])/12 + (11*d[11])/6 - d[12]/2 + 2*d[13] + 
       d[14]/2 - (35*d[15])/24 + (10*d[16])/3 + (5*d[17])/12 - (15*d[18])/4 + 
       (5*d[19])/8 - (37*d[20])/8 + (15*d[21])/8 + (35*d[22])/24 - 
       (13*d[23])/24 - (1097*d[24])/96 - (5*d[26])/12 - (5*d[27])/12 - 
       (5*d[33])/6 + (5*d[34])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u] + ((-2*d[2])/3 + (4*d[5])/3 + (35*d[7])/16 - 
       (5*d[8])/16 + (5*d[9])/16 + (5*d[11])/24 + (35*d[12])/16 + 
       (25*d[13])/12 - (7*d[14])/6 - (55*d[20])/12 + d[23]/12 + d[24]/2)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((17*d[2])/36 - (5*d[5])/6 - (5*d[12])/8 - (5*d[13])/6 + d[14]/2 + 
       (121*d[20])/48 + (47*d[23])/48 + (67*d[24])/24)*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - u] + (d[2] + d[3] - d[4] + (11*d[6])/6 - 
       (5*d[10])/6 - (4*d[11])/3 + (5*d[12])/3 + d[13] + (19*d[15])/3 + 
       (11*d[16])/3 - 7*d[17] + 23*d[18] - (19*d[19])/3 - (7*d[20])/6 - 
       (31*d[21])/3 - (19*d[22])/3 - d[23]/2 + (59*d[24])/12 + (4*d[26])/3 + 
       d[29]/2 + d[35]/2 - 3*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u] + ((-2*d[2])/3 - (22*d[5])/3 - (31*d[7])/6 + 
       (37*d[8])/6 + (11*d[9])/6 + (17*d[10])/3 + 3*d[11] + (17*d[12])/6 + 
       (5*d[13])/3 - 7*d[16] + d[19] - d[20] + (8*d[21])/3 - (2*d[22])/3 - 
       (29*d[23])/6 - 18*d[24] + (2*d[27])/3 + d[28]/3 + (4*d[30])/3 + 
       (8*d[33])/3 - (8*d[34])/3)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u] + ((-20*d[2])/3 - d[5] + (3*d[7])/4 + 
       (11*d[8])/4 - (17*d[9])/4 + (17*d[10])/2 - d[11] - (11*d[12])/6 - 
       5*d[13] + 2*d[14] - 5*d[16] + d[17]/2 - d[18]/2 + (5*d[19])/2 - 
       (47*d[20])/12 + 2*d[21] + d[22]/2 + (13*d[23])/3 - (47*d[24])/6 - 
       d[28]/2 - 2*d[30] + 3*d[33] - 2*d[34])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     ((-2*d[2])/3 + (2*d[3])/3 - (29*d[5])/6 - (203*d[6])/72 + (5*d[7])/3 + 
       (5*d[8])/2 - (25*d[9])/6 + (17*d[10])/18 - (5*d[11])/9 + 
       (34*d[12])/9 + (4*d[13])/3 + (8*d[14])/3 - (61*d[15])/36 + 
       (37*d[16])/9 - (13*d[17])/6 + (41*d[18])/6 - (11*d[19])/36 - 
       (29*d[20])/18 - (29*d[21])/36 - (95*d[22])/36 - 3*d[23] + 
       (277*d[24])/144 + (25*d[26])/18 - d[27]/2 + d[28]/3 + (2*d[29])/3 + 
       (4*d[30])/3 - (2*d[31])/3 - d[32]/3 + (7*d[33])/3 - (5*d[34])/3 + 
       (2*d[35])/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u] + ((2*d[2])/3 - (2*d[5])/3 - (7*d[7])/8 - 
       (23*d[8])/72 + (151*d[9])/72 - (17*d[10])/6 + (17*d[11])/36 - 
       (25*d[12])/72 - (5*d[13])/3 + 3*d[14] + (9*d[16])/2 - (14*d[19])/9 - 
       (7*d[20])/36 - (8*d[21])/9 - (2*d[22])/3 - (7*d[23])/36 - 
       (25*d[24])/18 - d[27]/9 - (8*d[33])/9 + (8*d[34])/9)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((29*d[2])/18 - (7*d[5])/3 + d[8] - d[9]/3 + (5*d[10])/3 - (2*d[11])/3 - 
       (53*d[12])/36 + d[13]/3 - (11*d[14])/3 - 4*d[16] + (2*d[19])/3 + 
       (403*d[20])/72 + (2*d[21])/3 + (121*d[23])/72 - (245*d[24])/36 + 
       d[27]/3 - d[28]/3 - (4*d[30])/3 + (2*d[33])/3 - (2*d[34])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (-d[2] - d[3] + d[4] - (5*d[5])/2 - (37*d[6])/24 - d[7]/6 + (2*d[8])/3 - 
       (2*d[9])/3 + d[10] - d[12] + d[13] + d[14] - (33*d[15])/4 + d[16] - 
       d[17]/6 - (3*d[18])/2 + (103*d[19])/12 + (15*d[20])/4 + 
       (109*d[21])/12 + (33*d[22])/4 - (25*d[23])/4 - (677*d[24])/48 - 
       d[26]/6 + d[27]/6 + d[29]/2 + d[33]/3 - d[34]/3 + d[35]/2 + 3*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((-2*d[2])/3 + (5*d[5])/6 + (73*d[7])/24 + (7*d[8])/8 + (139*d[9])/24 - 
       3*d[10] + d[11]/4 - d[12]/8 + (3*d[13])/2 - d[14]/3 + (7*d[16])/6 - 
       d[19] + d[20]/2 - d[21]/3 - (2*d[22])/3 + d[23]/2 + (13*d[24])/3 - 
       d[27]/6 - d[33]/3 + d[34]/3)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + ((-13*d[2])/18 - (7*d[5])/6 - (3*d[7])/4 + 
       (5*d[8])/4 - (5*d[9])/4 + d[10]/2 + d[11]/2 + (19*d[12])/12 + 
       d[13]/3 + d[14] + (71*d[20])/24 + (13*d[23])/8 + (7*d[24])/6)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((5*d[2])/2 + (3*d[5])/2 + d[7]/2 + d[8]/2 + (7*d[9])/2 + d[10]/2 + 
       d[11] - 2*d[16] + d[19] - 4*d[24])*HPL[{0, 0, 1}, 1 - u]^2 + 
     ((5*d[5])/4 - (193*d[6])/144 + (5*d[7])/12 - (5*d[8])/3 + (5*d[9])/3 - 
       (55*d[10])/18 + (25*d[11])/36 - (197*d[12])/144 - (43*d[15])/36 + 
       (65*d[16])/18 + d[17]/4 - (43*d[18])/12 + (13*d[19])/36 - 
       (79*d[20])/144 + (43*d[21])/36 + (43*d[22])/36 + (15*d[23])/16 + 
       (193*d[24])/144 - (5*d[26])/18 - (5*d[27])/12 - (5*d[33])/6 + 
       (5*d[34])/6)*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - v] + 
     (d[4] - (13*d[5])/6 + (7*d[6])/6 + (21*d[7])/16 + (389*d[8])/144 - 
       (469*d[9])/144 + (13*d[10])/2 - (71*d[11])/72 + (34*d[12])/9 - 
       (5*d[13])/8 - d[14]/2 - (23*d[15])/6 - 7*d[16] - d[17]/6 + 
       (37*d[18])/6 + (95*d[19])/18 + (641*d[20])/144 + (40*d[21])/9 + 
       (31*d[22])/6 + (121*d[23])/72 - (97*d[24])/72 - (2*d[26])/3 + 
       (13*d[27])/18 + (13*d[33])/9 - (13*d[34])/9)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (-d[3]/3 - (2*d[5])/3 + (11*d[6])/3 - (25*d[7])/6 - (11*d[8])/2 + 
       (9*d[9])/2 + (11*d[10])/2 - (5*d[11])/6 + (13*d[12])/3 + d[13]/3 + 
       (7*d[14])/2 + (9*d[15])/2 + (5*d[16])/6 - 4*d[17] + (62*d[18])/3 - 
       (9*d[19])/2 - (67*d[20])/24 - 6*d[21] - (7*d[22])/2 - (53*d[23])/12 + 
       (467*d[24])/24 + d[26]/6 - d[33] + d[34] + d[35]/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v] + 
     (-4*d[5] - (27*d[7])/4 + (79*d[8])/12 - (47*d[9])/12 + (29*d[10])/3 - 
       d[11]/2 + d[12]/3 + d[13] - 16*d[16] + (8*d[19])/3 - (7*d[20])/6 + 
       (8*d[21])/3 - (17*d[23])/6 - (49*d[24])/2 + (4*d[27])/3 + 
       (8*d[33])/3 - (8*d[34])/3)*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v] + 
     ((13*d[2])/18 - (5*d[5])/6 + (13*d[6])/6 - (2*d[10])/3 - (2*d[11])/3 + 
       (113*d[12])/72 - (5*d[13])/6 - (5*d[14])/12 + (8*d[15])/3 + 
       (4*d[16])/3 - 2*d[17] + 10*d[18] - (8*d[19])/3 + (275*d[20])/144 - 
       (14*d[21])/3 - (8*d[22])/3 - (193*d[23])/144 + (341*d[24])/72 + 
       (2*d[26])/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (2*d[2] - (2*d[4])/3 + 3*d[5] - (2*d[6])/3 - (7*d[7])/2 + d[8]/6 + 
       (7*d[9])/6 - (14*d[10])/3 - (21*d[12])/2 + 3*d[13] - (8*d[14])/3 + 
       (7*d[15])/3 + (10*d[16])/3 - 2*d[17] + (2*d[18])/3 - 3*d[19] - 
       (37*d[20])/12 - (13*d[21])/3 - 3*d[22] + (4*d[23])/3 - (43*d[24])/6 - 
       (2*d[25])/3 + (2*d[26])/3 - d[27]/3 - (2*d[33])/3 + (2*d[34])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (d[2]/3 + 2*d[4] - 4*d[5] - d[7]/4 + (25*d[8])/4 - (17*d[9])/4 + 
       (7*d[10])/2 - (9*d[11])/2 + (25*d[12])/6 + 3*d[15] - 10*d[16] - 
       d[19] - (17*d[20])/12 - 4*d[21] - 3*d[22] - (35*d[23])/12 - 
       (95*d[24])/6 - d[27] + 2*d[33] - 2*d[34])*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (-d[1]/3 - (5*d[5])/4 - (145*d[6])/144 - (5*d[7])/12 + (5*d[8])/3 - 
       (5*d[9])/3 + (115*d[10])/36 - (5*d[11])/9 + (217*d[12])/144 + 
       2*d[14] - (7*d[15])/36 - (35*d[16])/9 + (5*d[17])/12 - (25*d[18])/12 + 
       (37*d[19])/36 - (727*d[20])/144 + (11*d[21])/18 + (7*d[22])/36 - 
       (19*d[23])/48 - (179*d[24])/36 + (5*d[26])/36 + (5*d[27])/12 + 
       (5*d[33])/6 - (5*d[34])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - v] + (-d[1]/2 - d[2]/2 - (7*d[5])/6 + (65*d[7])/48 - 
       (205*d[8])/144 + (125*d[9])/144 - (5*d[10])/3 - (5*d[11])/72 + 
       (263*d[12])/72 - (55*d[13])/24 + (17*d[14])/6 - 8*d[15] + 
       (10*d[16])/3 + 3*d[17] + (67*d[19])/9 + (1187*d[20])/144 + 
       (67*d[21])/9 + 8*d[22] - (58*d[23])/9 - (77*d[24])/9 - (5*d[27])/18 - 
       (5*d[33])/9 + (5*d[34])/9)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - v] + (-d[1]/12 - (3*d[2])/2 + (5*d[5])/6 + 
       (65*d[12])/72 + (5*d[13])/6 - (17*d[14])/12 - (433*d[20])/144 - 
       (301*d[23])/144 - (31*d[24])/72)*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - v] + (d[3]/3 + d[4] + (5*d[5])/2 - (61*d[6])/72 + 
       (5*d[7])/6 - (10*d[8])/3 + (11*d[9])/3 - (107*d[10])/18 + 
       (44*d[11])/9 + (31*d[12])/72 - d[14]/3 - (20*d[15])/9 + (62*d[16])/9 - 
       (5*d[17])/3 + (4*d[18])/3 + (14*d[19])/9 - (115*d[20])/72 + 
       (37*d[21])/18 + (41*d[22])/9 + (3*d[23])/8 + (295*d[24])/72 - 
       d[25]/3 - (8*d[26])/9 - (5*d[27])/6 + d[32]/3 - (5*d[33])/3 + 2*d[34])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((-2*d[2])/3 + (4*d[3])/3 + (5*d[5])/3 + d[6]/6 + (83*d[7])/24 + 
       (281*d[8])/72 - (385*d[9])/72 + 3*d[10] + (97*d[11])/36 + 
       (31*d[12])/18 + (53*d[13])/12 - (2*d[14])/3 - d[15] - (11*d[16])/3 + 
       (4*d[17])/3 - (4*d[18])/3 + (2*d[19])/9 + (425*d[20])/72 + 
       (14*d[21])/9 - (4*d[22])/3 + (67*d[23])/36 + (359*d[24])/36 - 
       d[25]/3 - d[26]/3 - (2*d[27])/9 - (4*d[31])/3 - (2*d[32])/3 + 
       (14*d[33])/9 - (2*d[34])/9 + (2*d[35])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((29*d[2])/9 - (8*d[5])/3 - d[6]/3 - d[10]/3 - d[11]/3 - 
       (307*d[12])/36 - (5*d[13])/3 - d[14]/6 - (5*d[15])/6 + (2*d[16])/3 - 
       (5*d[17])/2 + (11*d[18])/6 + (4*d[19])/3 + (443*d[20])/72 + d[21]/3 + 
       (4*d[22])/3 + (203*d[23])/72 - (157*d[24])/36 - d[25]/2 + d[26]/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((-2*d[2])/3 - 2*d[4] + (11*d[6])/6 - (2*d[10])/3 - (2*d[11])/3 + 
       (17*d[12])/3 - d[14]/3 + (14*d[15])/3 + 2*d[16] - (22*d[17])/3 + 
       (70*d[18])/3 - 4*d[19] - (2*d[20])/3 - (23*d[21])/3 - (22*d[22])/3 + 
       (5*d[23])/6 + (89*d[24])/12 - d[25]/3 + d[26])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (d[3] - d[4] - 4*d[5] - 6*d[7] + (28*d[8])/3 - (26*d[9])/3 + 
       (21*d[10])/2 + (13*d[11])/3 + (13*d[12])/6 + d[13] - 4*d[15] - 
       16*d[16] + (20*d[19])/3 + (10*d[20])/3 + (20*d[21])/3 + 4*d[22] - 
       (31*d[23])/6 - (221*d[24])/6 - d[25]/2 + (4*d[27])/3 + (8*d[33])/3 - 
       (8*d[34])/3 + d[35]/2 - 3*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + ((4*d[2])/3 + d[3] + d[4] - d[6]/2 - d[10]/2 - 
       d[11] - (11*d[12])/6 + d[14]/2 + 4*d[15] + (3*d[16])/2 - (3*d[17])/2 + 
       (5*d[18])/2 - 5*d[19] - (13*d[20])/6 - 8*d[21] - 3*d[22] - 
       (31*d[23])/6 - (25*d[24])/3 - d[25]/2 + d[26]/2 - d[31] - d[32]/2 + 
       d[34])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((-2*d[2])/3 - (4*d[4])/3 - (5*d[5])/2 - (25*d[6])/72 - (5*d[7])/6 + 
       (10*d[8])/3 - 4*d[9] + (59*d[10])/9 - (23*d[11])/18 - (179*d[12])/72 - 
       (5*d[14])/3 - (91*d[15])/18 - (137*d[16])/18 - d[17] + (10*d[18])/3 + 
       (50*d[19])/9 + (569*d[20])/72 + (53*d[21])/9 + (23*d[22])/9 - 
       (55*d[23])/24 - (361*d[24])/36 - d[25]/2 + d[26]/9 + (5*d[27])/6 + 
       (5*d[33])/3 - (5*d[34])/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + (-d[2] - d[3] + d[4] - d[5]/3 - d[6] - 
       (7*d[7])/24 + (59*d[8])/72 + (101*d[9])/72 + d[10]/6 + (19*d[11])/36 + 
       (77*d[12])/36 + (5*d[13])/12 + (5*d[14])/3 + 5*d[15] + (2*d[16])/3 - 
       (43*d[19])/9 - (259*d[20])/72 - (70*d[21])/9 - 5*d[22] - 
       (47*d[23])/9 + (251*d[24])/36 - d[25]/2 + d[26] + d[27]/9 + 
       (2*d[33])/9 - (2*d[34])/9 + d[35]/2 + 3*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((-5*d[2])/3 + (5*d[5])/3 + (275*d[12])/36 + (5*d[13])/3 - 
       (10*d[14])/3 + (9*d[15])/4 + (5*d[17])/4 + (3*d[18])/4 - (5*d[19])/2 - 
       (1051*d[20])/72 - (5*d[21])/2 - (5*d[22])/2 - (541*d[23])/72 + 
       (49*d[24])/18 - d[25]/4)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + ((2*d[2])/3 - (4*d[3])/3 + (4*d[4])/3 - 
       (4*d[5])/3 - (2*d[6])/3 + (2*d[7])/3 + (2*d[8])/3 - 2*d[9] + 2*d[11] - 
       (2*d[12])/3 + (2*d[14])/3 + (2*d[15])/3 + (4*d[16])/3 - (2*d[17])/3 + 
       (4*d[18])/3 - (2*d[19])/3 - (2*d[20])/3 - (2*d[21])/3 - (2*d[22])/3 + 
       (2*d[23])/3 + (10*d[24])/3 - d[25]/3 + d[29]/3 + (2*d[35])/3 + 
       4*d[36])*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((-3*d[4])/2 - d[6]/2 + d[12] - (3*d[14])/4 - d[15]/2 - (3*d[17])/2 + 
       (7*d[18])/2 + 2*d[19] + (3*d[20])/4 - d[21]/2 + (5*d[22])/2 + 
       (5*d[23])/2 - d[24] - d[25]/4)*HPL[{0, 0, 1}, 1 - v]^2 + 
     (d[4] - (5*d[5])/4 - (7*d[6])/6 - (5*d[7])/12 + (5*d[8])/3 - 
       (5*d[9])/3 + (14*d[10])/3 - (3*d[11])/4 + (139*d[12])/48 + 
       (83*d[15])/24 - (25*d[16])/6 - d[17]/3 - d[18] - (21*d[19])/8 - 
       (131*d[20])/48 - (83*d[21])/24 - (59*d[22])/24 + (95*d[23])/48 + 
       (419*d[24])/96 + (5*d[27])/12 + (5*d[33])/6 - (5*d[34])/6)*
      HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - w] + 
     (d[3]/3 - (4*d[4])/3 + (17*d[5])/12 + (19*d[6])/12 + (25*d[7])/24 - 
       (15*d[8])/8 + (7*d[9])/8 - (10*d[10])/3 + (5*d[11])/2 + 
       (109*d[12])/48 - (5*d[13])/24 + (7*d[14])/6 - (13*d[15])/6 + 6*d[16] - 
       (31*d[17])/6 + (79*d[18])/6 + (4*d[19])/3 + (37*d[20])/48 + d[21]/2 + 
       d[22]/2 + (4*d[23])/3 + (37*d[24])/8 + (2*d[26])/3 - d[27]/12 - 
       (5*d[33])/6 + (5*d[34])/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + (-d[4]/3 - (7*d[5])/12 - (67*d[6])/72 - 
       (11*d[7])/3 + (35*d[8])/12 - (7*d[9])/4 + (7*d[10])/18 - 
       (61*d[11])/36 - (133*d[12])/144 + d[13] + d[14]/6 + (41*d[15])/72 - 
       (95*d[16])/18 + (4*d[17])/3 - (13*d[18])/3 - (41*d[19])/72 + 
       (301*d[20])/144 + (139*d[21])/72 - (101*d[22])/72 + (37*d[23])/16 - 
       (2495*d[24])/288 - (5*d[26])/9 + (7*d[27])/12 + d[33]/2 - d[34]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((5*d[5])/12 + (21*d[7])/8 - d[8]/72 - (19*d[9])/72 - d[10]/6 - 
       (31*d[11])/18 - (265*d[12])/144 - (17*d[13])/24 - (5*d[14])/6 - 
       (8*d[15])/3 + (5*d[16])/3 + d[17] + (43*d[19])/18 + (529*d[20])/144 + 
       (43*d[21])/18 + (8*d[22])/3 - (67*d[23])/72 - d[24]/9 - (5*d[27])/36 - 
       (5*d[33])/18 + (5*d[34])/18)*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - w] + 
     ((7*d[2])/36 - d[4] + (5*d[5])/6 - (7*d[6])/6 - d[10]/3 - d[11]/3 - 
       (95*d[12])/12 - d[13]/6 - d[14]/4 - (5*d[15])/3 - d[16]/3 - 3*d[17] - 
       (3*d[18])/2 + (5*d[19])/3 - (29*d[20])/12 + (2*d[21])/3 + 
       (2*d[22])/3 + (11*d[23])/3 - (10*d[24])/3 + d[26]/3)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((-2*d[2])/3 + (4*d[4])/3 - (14*d[5])/3 + (3*d[6])/2 - (4*d[7])/3 + 
       6*d[8] - (14*d[9])/3 + (22*d[10])/3 - (10*d[11])/3 + (13*d[12])/3 - 
       (4*d[13])/3 + 3*d[15] - (34*d[16])/3 + 2*d[17] - (2*d[18])/3 - 
       d[19]/3 + d[20]/6 - (13*d[21])/3 - 3*d[22] - (16*d[23])/3 - 
       (241*d[24])/12 + (2*d[26])/3 + (8*d[33])/3 - (8*d[34])/3 - 
       (2*d[35])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + ((5*d[2])/12 - (17*d[5])/6 - d[6] - 
       (3*d[7])/4 - d[8]/12 + (5*d[9])/12 + (5*d[10])/2 - (11*d[11])/6 + 
       (107*d[12])/36 - (5*d[13])/6 + (29*d[14])/12 + 3*d[15] - 6*d[16] - 
       (5*d[19])/3 + (131*d[20])/72 - (14*d[21])/3 - 3*d[22] - 
       (475*d[23])/72 + (191*d[24])/36 + d[26] + (2*d[27])/3 + (4*d[33])/3 - 
       (4*d[34])/3)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((2*d[2])/3 - d[5] + (11*d[6])/6 - (4*d[10])/3 - (4*d[11])/3 + 
       (41*d[12])/6 - d[13] + d[14] + (31*d[15])/3 + (8*d[16])/3 + d[17] + 
       16*d[18] - (31*d[19])/3 + (37*d[20])/6 - (43*d[21])/3 - (31*d[22])/3 + 
       (11*d[23])/6 + (107*d[24])/6 + (4*d[26])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-2*d[2])/3 - 2*d[5] - (31*d[7])/4 + (139*d[8])/12 - (107*d[9])/12 + 
       8*d[10] + (5*d[11])/6 + 2*d[12] + 3*d[13] - 2*d[14] - 16*d[16] + 
       (8*d[19])/3 - (39*d[20])/4 + (8*d[21])/3 - (13*d[23])/2 - 45*d[24] + 
       (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-2*d[2])/3 + (23*d[12])/3 + 2*d[14] - (103*d[20])/6 - (31*d[23])/6 + 
       (11*d[24])/3)*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w] + 
     (3*d[4] - (7*d[5])/2 + (7*d[6])/6 + d[7]/6 + (13*d[8])/3 - (10*d[9])/3 + 
       7*d[10] - (9*d[11])/2 - (7*d[12])/8 - d[14]/2 + (21*d[15])/4 - 
       (9*d[16])/2 + (2*d[17])/3 + d[18] - (49*d[19])/12 - (13*d[20])/8 - 
       (115*d[21])/12 - (19*d[22])/4 + (17*d[23])/8 - d[24]/48 + 
       (2*d[26])/3 - (7*d[27])/6 + d[32]/2 + (5*d[33])/3 - (8*d[34])/3 - 
       d[35]/2 - 3*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + ((10*d[3])/3 - 4*d[4] - (3*d[5])/2 - d[6]/2 - 
       (23*d[7])/12 - (53*d[8])/12 + (37*d[9])/12 + (4*d[10])/3 - 
       (2*d[11])/3 + (37*d[12])/24 + (21*d[13])/4 + (8*d[14])/3 + d[15] - 
       d[16]/3 + (4*d[17])/3 - (4*d[18])/3 - (7*d[19])/3 + (95*d[20])/24 - 
       d[21] - (10*d[22])/3 + (2*d[23])/3 + (23*d[24])/2 + (2*d[26])/3 + 
       (11*d[27])/6 - (4*d[31])/3 - (2*d[32])/3 + d[33] + d[34]/3 - d[35]/3 - 
       6*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     ((-5*d[2])/18 + d[4] - (5*d[5])/6 - 2*d[6] - (9*d[7])/2 + (13*d[8])/2 - 
       6*d[9] - (3*d[10])/2 + d[11]/2 + (5*d[12])/3 - d[13]/3 - 2*d[14] - 
       (5*d[15])/2 - (3*d[16])/2 + d[17] - 7*d[18] + (5*d[19])/2 - 
       (61*d[20])/12 + (7*d[22])/2 - 6*d[23] - (419*d[24])/12 - d[33] + 
       d[34] - d[35]/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + (-d[1] + 2*d[3] - (16*d[4])/3 + d[5]/6 - 
       d[6]/36 + (3*d[7])/2 - d[8]/3 - d[9] - (41*d[10])/9 + (35*d[11])/18 - 
       (157*d[12])/72 - (2*d[13])/3 - (7*d[14])/3 - (67*d[15])/36 + 
       (49*d[16])/9 - d[17]/3 + (13*d[18])/3 - (5*d[19])/36 + 
       (175*d[20])/72 + (199*d[21])/36 - (137*d[22])/36 + (187*d[23])/24 + 
       (769*d[24])/144 - d[26]/9 + d[27]/6 - (2*d[31])/3 - d[32]/3 + 
       d[33]/3 - d[34]/3 - d[35]/3 - 6*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (d[3] + d[4] - (5*d[5])/3 + (17*d[7])/12 + (65*d[8])/36 + (53*d[9])/36 + 
       (35*d[10])/6 - (77*d[11])/18 + (251*d[12])/72 - (5*d[13])/12 - 
       (5*d[14])/3 + 7*d[15] - (8*d[16])/3 - (56*d[19])/9 - (299*d[20])/72 - 
       (83*d[21])/9 - 7*d[22] - (37*d[23])/36 + (95*d[24])/18 - 
       (29*d[27])/18 + (7*d[33])/9 - (7*d[34])/9 - d[35]/2 - 3*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (d[2]/6 + d[4] - (13*d[5])/6 + d[6] + 2*d[7] - 2*d[8] + (7*d[9])/2 - 
       (3*d[10])/2 - (5*d[11])/2 + (82*d[12])/9 - (5*d[13])/3 - (2*d[14])/3 + 
       d[15]/2 + d[16]/2 + 6*d[17] - 3*d[18] - (3*d[19])/2 + (17*d[20])/36 - 
       4*d[21] - d[22]/2 - (337*d[23])/36 + (52*d[24])/9 - d[27] + d[32] - 
       d[33] + d[34] - d[35]/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + ((29*d[6])/6 - (4*d[10])/3 - (4*d[11])/3 + 
       (14*d[12])/3 - (3*d[14])/2 + (28*d[15])/3 + (13*d[16])/6 - 7*d[17] + 
       23*d[18] - (53*d[19])/6 - (41*d[20])/12 - (40*d[21])/3 - 
       (53*d[22])/6 + 3*d[23] + (67*d[24])/6 + (4*d[26])/3 - d[32]/2 + 
       d[34] - d[35]/2 + 3*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + (-d[3] + d[4] - (9*d[5])/2 - (21*d[7])/2 + 
       (23*d[8])/6 - (8*d[9])/3 + (23*d[10])/2 - (13*d[11])/6 - (5*d[12])/6 + 
       d[13] - 6*d[15] - 16*d[16] + (26*d[19])/3 + (55*d[20])/12 + 
       (26*d[21])/3 + 6*d[22] - (26*d[23])/3 - (463*d[24])/12 + (4*d[27])/3 + 
       (8*d[33])/3 - (8*d[34])/3 - d[35]/2 + 3*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((-2*d[2])/3 - d[12]/3 + 2*d[14] - (7*d[20])/6 + (17*d[23])/6 - 
       (13*d[24])/3)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + (d[3] - d[4] + d[5]/2 - d[7]/2 + d[8]/2 + 
       d[9] + (5*d[10])/2 + d[11]/2 + d[12] - d[23] - 2*d[24] - d[35]/2 - 
       3*d[36])*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     (d[6] + 2*d[12] - (5*d[14])/2 - d[15] + d[16]/2 - d[17] + 2*d[18] + 
       d[19]/2 + (5*d[20])/2 + d[21] + d[22]/2 - 3*d[24] + d[32]/2 - d[34] - 
       d[35]/2 - 3*d[36])*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (d[3]/3 + d[6]/6 - (2*d[12])/3 + d[15]/3 + (13*d[17])/3 - 5*d[18] - 
       d[19]/3 + d[21] - d[22] + (4*d[24])/3)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1, 1}, 1 - u] + (d[2]/3 - d[4] - 3*d[5] + (10*d[6])/3 - 
       (3*d[7])/4 + (17*d[8])/4 - (17*d[9])/4 + (29*d[10])/3 - (5*d[11])/2 + 
       (9*d[12])/4 + 2*d[15] - (28*d[16])/3 + (5*d[17])/6 + (25*d[18])/3 - 
       d[19]/3 + (25*d[20])/4 + d[21]/6 - (10*d[22])/3 - (29*d[23])/12 + 
       d[24]/3 + d[26]/3 + d[27] + 2*d[33] - 2*d[34])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (d[2]/3 + (5*d[4])/3 - (37*d[5])/12 + (361*d[6])/144 - (8*d[7])/3 + 
       (23*d[8])/4 - (17*d[9])/4 + (167*d[10])/36 - (37*d[11])/9 + 
       (79*d[12])/18 + (3*d[13])/2 + (7*d[14])/3 + (551*d[15])/72 - 
       (49*d[16])/9 + (9*d[17])/4 + (85*d[18])/12 - (443*d[19])/72 - 
       (73*d[20])/18 - (737*d[21])/72 - (551*d[22])/72 - (31*d[23])/6 - 
       (1487*d[24])/288 + (19*d[26])/36 - (11*d[27])/12 + (3*d[33])/2 - 
       (3*d[34])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     (d[2]/3 - (73*d[5])/36 - (551*d[7])/144 + (481*d[8])/144 - 
       (305*d[9])/144 + (89*d[10])/36 - (85*d[11])/72 - (7*d[12])/48 + 
       (4*d[13])/3 - d[14]/2 - (251*d[16])/36 + d[17]/18 - d[18]/18 + 
       (10*d[19])/9 - (223*d[20])/72 + (7*d[21])/6 - d[22]/18 - 
       (319*d[23])/72 - (241*d[24])/18 + (5*d[27])/9 + (7*d[33])/6 - 
       (7*d[34])/6)*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u] + 
     (-2*d[4] + 4*d[5] - (11*d[6])/6 - 5*d[8] + 4*d[9] - (26*d[10])/3 + 
       (13*d[11])/3 + (23*d[12])/6 - d[15]/3 + (22*d[16])/3 - 6*d[17] + 
       12*d[18] - (5*d[19])/3 + d[20]/6 + (7*d[21])/3 + d[22]/3 - d[23]/2 + 
       (139*d[24])/12 - d[26]/3 + d[27] - 2*d[33] + 2*d[34])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((-4*d[2])/3 - (10*d[6])/3 + d[7]/2 + (43*d[8])/6 - (35*d[9])/6 + 
       (11*d[10])/3 - (8*d[11])/3 + (47*d[12])/6 + 3*d[13] - (4*d[14])/3 + 
       (7*d[15])/3 - (22*d[16])/3 + 4*d[17] - 14*d[18] - d[19] - 
       (23*d[20])/6 - 2*d[21] - (7*d[22])/3 - 7*d[23] - (52*d[24])/3 + 
       d[26]/3 + (2*d[27])/3 + (4*d[33])/3 - (4*d[34])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((-43*d[2])/36 + (8*d[3])/3 - d[5]/2 + (8*d[6])/3 + 9*d[7] - 
       (23*d[8])/3 + 3*d[9] - (41*d[10])/3 - 5*d[11] - (173*d[12])/72 + 
       (11*d[13])/6 - d[14]/6 + (14*d[15])/3 + (59*d[16])/3 + (2*d[17])/3 + 
       (2*d[18])/3 - (26*d[19])/3 - (209*d[20])/144 - (34*d[21])/3 - 
       8*d[22] - (275*d[23])/144 + (2065*d[24])/72 + (4*d[26])/3 - 
       (7*d[27])/3 + d[28]/3 + (4*d[30])/3 - (4*d[31])/3 - (2*d[32])/3 - 
       (2*d[33])/3 + 2*d[34] - 4*d[36])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + ((-2*d[2])/3 - (3*d[5])/4 + (13*d[6])/16 + 
       (23*d[7])/12 - (25*d[8])/6 + (25*d[9])/6 - (43*d[10])/12 - 
       (5*d[11])/6 + 7*d[12] - 2*d[13] + 3*d[14] + (53*d[15])/24 + 
       (14*d[16])/3 - (19*d[17])/12 + (25*d[18])/4 - (73*d[19])/24 - 
       (261*d[20])/8 - (91*d[21])/24 - (53*d[22])/24 - (329*d[23])/24 + 
       (1855*d[24])/96 + d[26]/4 - (5*d[27])/12 - (5*d[33])/6 + (5*d[34])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((4*d[2])/9 + d[5]/12 + d[6]/3 - (57*d[7])/16 + (169*d[8])/48 - 
       (97*d[9])/48 + (59*d[10])/12 + (13*d[11])/8 + (53*d[12])/48 + 
       (7*d[13])/12 - (23*d[14])/6 - (119*d[16])/12 + d[17]/6 - d[18]/6 + 
       (3*d[19])/2 - (127*d[20])/6 + (5*d[21])/3 - d[22]/6 - 15*d[23] - 
       (67*d[24])/4 + (13*d[27])/12 + (5*d[33])/3 - (5*d[34])/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     (-d[1]/6 - (25*d[2])/36 - (5*d[5])/6 + (41*d[12])/24 - (5*d[13])/6 - 
       (253*d[20])/16 - (281*d[23])/48 + d[24]/8)*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - u] + (-2*d[4] + (35*d[6])/12 - (2*d[10])/3 - 
       (2*d[11])/3 - d[12]/6 + (23*d[15])/3 + (4*d[16])/3 - (9*d[17])/2 + 
       18*d[18] - (20*d[19])/3 - (17*d[20])/6 - (61*d[21])/6 - (26*d[22])/3 + 
       (27*d[23])/4 + (443*d[24])/24 + (2*d[26])/3)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (-d[2]/3 - 2*d[3] + 6*d[4] - 4*d[5] - 7*d[6] - 8*d[7] + (33*d[8])/2 - 
       (25*d[9])/3 + 16*d[10] - (20*d[11])/3 + (161*d[12])/12 + 
       (13*d[13])/6 - (4*d[14])/3 + (8*d[15])/3 - 26*d[16] + (11*d[17])/3 + 
       d[18]/3 + (19*d[19])/3 - (19*d[20])/4 - (43*d[21])/3 + (17*d[22])/3 - 
       (161*d[23])/12 - (112*d[24])/3 + 2*d[26] - (3*d[27])/2 + d[28]/3 + 
       d[29]/6 + (4*d[30])/3 - (2*d[31])/3 - d[32]/3 + d[33]/3 + d[34]/3 - 
       d[35]/3 + 8*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (-d[2] - 8*d[3] + 4*d[4] + 9*d[5] + 5*d[6] - 
       (15*d[7])/2 + 8*d[8] - d[9] + (23*d[10])/2 + 9*d[11] + (65*d[12])/6 - 
       4*d[13] + 9*d[14] - d[15]/2 - (45*d[16])/2 + (29*d[17])/2 - 
       (11*d[18])/2 + (13*d[19])/2 - (65*d[20])/6 + 10*d[21] + (19*d[22])/2 - 
       (85*d[23])/12 - (233*d[24])/12 - d[25]/2 - 3*d[26] + (7*d[27])/2 + 
       4*d[31] + 2*d[32] - 3*d[33] - d[34] + 12*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (-d[1]/3 + (2*d[2])/3 - (8*d[3])/3 - (2*d[4])/3 + (23*d[5])/2 - 
       (137*d[6])/72 + d[7]/3 - (79*d[8])/6 + (89*d[9])/6 - (391*d[10])/18 + 
       (70*d[11])/9 - (229*d[12])/18 + (4*d[13])/3 - (2*d[14])/3 - 
       (151*d[15])/36 + (187*d[16])/9 + (31*d[17])/6 - (167*d[18])/6 - 
       (77*d[19])/36 - (67*d[20])/36 + (361*d[21])/36 + (103*d[22])/36 + 
       (45*d[23])/4 + (3931*d[24])/144 - (59*d[26])/18 - (13*d[27])/6 + 
       (4*d[31])/3 + (2*d[32])/3 - (23*d[33])/3 + (19*d[34])/3 + 4*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (-d[2]/3 - (2*d[3])/3 + (14*d[4])/3 + 2*d[5] + (2*d[6])/3 + 
       (259*d[7])/24 - (179*d[8])/72 - (149*d[9])/72 - (20*d[10])/3 - 
       (451*d[11])/36 - (139*d[12])/72 - (5*d[13])/2 - (37*d[14])/3 + 
       (10*d[15])/3 + (11*d[16])/2 + (14*d[17])/3 - (2*d[18])/3 - 
       (32*d[19])/9 - (259*d[20])/36 - (92*d[21])/9 - (8*d[22])/3 - 
       (19*d[23])/9 + (1165*d[24])/36 - (59*d[27])/18 - d[29]/2 - 
       (2*d[31])/3 - d[32]/3 - (8*d[33])/9 + (14*d[34])/9 - (4*d[35])/3 + 
       4*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((23*d[2])/18 - (20*d[5])/3 + (2*d[6])/3 - d[10]/3 - d[11] + 
       (157*d[12])/36 - (19*d[13])/3 + (17*d[15])/3 + (2*d[16])/3 + 4*d[17] + 
       (10*d[18])/3 - 6*d[19] + (313*d[20])/72 - (22*d[21])/3 - 6*d[22] - 
       (365*d[23])/72 + (829*d[24])/36 + d[25]/3 + d[26]/3 + d[32]/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (d[4] - (19*d[5])/2 - (55*d[6])/24 - (19*d[7])/6 + (38*d[8])/3 - 
       (38*d[9])/3 + (49*d[10])/2 - 4*d[11] + 5*d[12] + (69*d[15])/4 - 
       30*d[16] + d[17]/3 - (9*d[18])/2 - (143*d[19])/12 - (17*d[20])/4 - 
       (179*d[21])/12 - (69*d[22])/4 + 15*d[23] + (649*d[24])/48 + 
       (5*d[26])/6 + (19*d[27])/6 + (19*d[33])/3 - (19*d[34])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((-2*d[2])/3 - (2*d[3])/3 + (2*d[4])/3 + (14*d[5])/3 + (61*d[7])/24 - 
       (199*d[8])/24 + (67*d[9])/24 - (91*d[10])/6 - (5*d[11])/4 + 
       (41*d[12])/8 + (2*d[13])/3 + (19*d[14])/3 + (16*d[15])/3 + 
       (109*d[16])/6 + (14*d[17])/3 - (2*d[18])/3 - (23*d[19])/3 - 
       (133*d[20])/12 - (43*d[21])/3 - (14*d[22])/3 + (3*d[23])/4 + 
       (223*d[24])/6 + 2*d[26] - d[27]/2 - d[29]/2 - (2*d[31])/3 - d[32]/3 - 
       3*d[33] + (11*d[34])/3 + (2*d[35])/3 + 4*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((17*d[2])/18 + 8*d[3] - 8*d[4] - (14*d[5])/3 - 3*d[6] + (5*d[7])/2 - 
       5*d[8] - (5*d[9])/2 - (15*d[10])/2 - (131*d[12])/12 + (82*d[13])/3 - 
       10*d[14] + 4*d[15] + d[16]/2 - (3*d[17])/2 - (29*d[18])/2 - 8*d[19] - 
       (271*d[20])/24 + 3*d[21] - 15*d[22] - (33*d[23])/8 + (73*d[24])/6 - 
       d[25]/2 + d[26]/2 + (3*d[27])/2 - 4*d[31] - 2*d[32] + 7*d[33] - 
       3*d[34] - 12*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + (4*d[3] - 2*d[4] - 11*d[5] + 3*d[6] - 6*d[8] + 
       d[9] - d[10] - 5*d[11] + 2*d[13] - 4*d[14] - 7*d[15] + (11*d[16])/2 + 
       (15*d[17])/2 - (35*d[18])/2 + 3*d[19] + (13*d[20])/2 + 5*d[22] - 
       3*d[23] + 17*d[24] + d[26] - d[29] - 4*d[31] - 2*d[32] - 2*d[33] + 
       6*d[34] - d[35])*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (-d[5]/3 + (2*d[10])/3 + (2*d[11])/3 + 2*d[12] + 2*d[14] - 2*d[15] - 
       (4*d[16])/3 + (5*d[17])/3 - (16*d[18])/3 + d[19]/3 - (11*d[20])/6 + 
       (5*d[21])/3 + d[22]/3 - 3*d[23] + (5*d[24])/2 + (2*d[25])/3 - 
       (4*d[26])/3)*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (d[1] + 3*d[3] - 5*d[4] - 3*d[5] - d[6] + d[7] + (5*d[8])/2 - 2*d[9] + 
       d[10] + 4*d[11] + 6*d[12] + 10*d[13] - d[14] + 3*d[15] - 3*d[16] - 
       2*d[17] - 2*d[18] - 2*d[19] + 12*d[20] + d[21] - 10*d[22] + 2*d[23] - 
       2*d[24] + d[26] + d[27]/2 - 2*d[31] - 2*d[32] + 4*d[33] + d[34] + 
       d[35] + 6*d[36])*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (-4*d[3] + 2*d[4] + (9*d[5])/2 + (5*d[6])/4 - (11*d[7])/4 + 
       (15*d[8])/4 - d[9]/4 + 4*d[10] + (3*d[11])/2 - d[12] - 4*d[13] + 
       d[14] + d[15]/2 - 6*d[16] + d[17]/4 + (31*d[18])/4 + (7*d[19])/2 - 
       (15*d[20])/2 - (7*d[21])/2 + (11*d[22])/2 - (35*d[24])/4 + d[26]/4 + 
       d[27]/2 + 2*d[31] + d[32] - 2*d[33] + 6*d[36])*
      HPL[{0, 1, 1}, 1 - u]^2 + (d[2]/3 + d[3]/9 - (8*d[4])/9 + (5*d[5])/4 + 
       (163*d[6])/144 + (5*d[7])/12 - (5*d[8])/3 + (14*d[9])/9 - 
       (137*d[10])/36 + (23*d[11])/36 - (13*d[12])/16 + (2*d[13])/3 - d[14] + 
       (7*d[15])/4 + (209*d[16])/36 - (43*d[17])/12 + (269*d[18])/36 - 
       (5*d[19])/2 + (281*d[20])/144 - (107*d[21])/36 - (23*d[22])/9 + 
       (287*d[23])/144 + (1021*d[24])/144 + d[26]/3 - (5*d[27])/12 - 
       d[31]/9 - d[32]/36 - (5*d[33])/6 + (17*d[34])/18)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1, 1}, 1 - v] + ((5*d[4])/3 + d[5] - (5*d[6])/12 - 
       (61*d[7])/48 - (175*d[8])/144 + (407*d[9])/144 - (7*d[10])/6 - 
       (179*d[11])/72 + (157*d[12])/36 + (3*d[13])/8 - (7*d[14])/6 + 
       (43*d[15])/6 + 7*d[16] + (25*d[17])/6 - d[18] - (151*d[19])/18 - 
       (277*d[20])/144 - (86*d[21])/9 - (47*d[22])/6 + (127*d[23])/72 + 
       (565*d[24])/36 - (41*d[27])/18 - (11*d[33])/9 + (11*d[34])/9)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (d[3]/3 - d[5]/3 - d[6]/4 - 2*d[7] - d[10]/6 - (4*d[11])/3 - 
       (7*d[12])/12 + (2*d[13])/3 - (7*d[14])/2 + d[15] - (5*d[17])/3 + 
       (13*d[18])/3 - d[19] - (49*d[20])/24 - d[21] - d[22] - (19*d[23])/8 + 
       (53*d[24])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - v] + (-d[7]/6 - d[8]/6 + d[9]/6 - d[10] + 
       (5*d[11])/3 + (5*d[12])/3 + (7*d[14])/6 - d[20]/2 - (5*d[23])/12 + 
       (2*d[24])/3)*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - v] + 
     ((29*d[2])/18 + (8*d[3])/3 - (4*d[4])/3 - (37*d[5])/6 - 4*d[6] - 
       (7*d[7])/6 + (5*d[8])/6 + (11*d[9])/6 + (19*d[10])/3 + (5*d[11])/3 + 
       (101*d[12])/72 - (13*d[13])/6 + (9*d[14])/4 - 8*d[15] - (31*d[16])/3 + 
       (14*d[17])/3 - 18*d[18] + (23*d[19])/3 + (623*d[20])/144 + 
       (35*d[21])/3 + 5*d[22] + (191*d[23])/144 - (601*d[24])/72 - d[26] - 
       (4*d[27])/3 - (4*d[31])/3 - (2*d[32])/3 + (10*d[33])/3 - 2*d[34] - 
       4*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((-2*d[2])/9 + (2*d[4])/3 - 6*d[5] - d[6] + 2*d[7] + (14*d[8])/3 - 
       6*d[9] + (41*d[10])/3 - d[11] + (101*d[12])/6 - (10*d[13])/3 + 
       (14*d[14])/3 - 3*d[15] - (34*d[16])/3 - 6*d[17] + (46*d[18])/3 + 
       (17*d[19])/3 - (82*d[20])/3 + 2*d[21] + (11*d[22])/3 - (51*d[23])/2 - 
       (19*d[24])/6 + d[26] + (4*d[27])/3 - (8*d[30])/3 + (8*d[33])/3 - 
       (8*d[34])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (-2*d[4] + d[5] - (5*d[7])/2 + (7*d[8])/2 - 
       (9*d[9])/2 + d[10] + d[11] - 5*d[12] + 3*d[13] + (3*d[14])/2 - 
       3*d[15] - 2*d[16] + 3*d[19] - (5*d[20])/2 + 6*d[21] + 3*d[22] + 
       (9*d[23])/2 - 17*d[24] + 2*d[27])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (-2*d[2] + d[4] - (5*d[5])/4 + (287*d[6])/144 - 
       (5*d[7])/12 + (5*d[8])/3 - (3*d[9])/2 + (85*d[10])/36 - 
       (59*d[11])/36 - (395*d[12])/144 + 2*d[14] + (59*d[15])/36 - 
       (77*d[16])/36 - (11*d[17])/12 + (37*d[18])/4 - (13*d[19])/18 + 
       (4613*d[20])/144 - (91*d[21])/18 - (5*d[22])/9 + (493*d[23])/48 + 
       (149*d[24])/18 + (41*d[26])/36 + (5*d[27])/12 + d[32]/6 + 
       (5*d[33])/6 - (5*d[34])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v] + (-d[2] + (7*d[5])/3 - (151*d[7])/48 + 
       (395*d[8])/144 - (283*d[9])/144 + (7*d[10])/3 - (29*d[11])/72 + 
       (287*d[12])/72 + (101*d[13])/24 + (47*d[14])/6 + 8*d[15] - 
       (14*d[16])/3 - 3*d[17] - (65*d[19])/9 + (167*d[20])/144 - 
       (65*d[21])/9 - 8*d[22] + (211*d[23])/18 + (149*d[24])/18 + 
       (7*d[27])/18 + (7*d[33])/9 - (7*d[34])/9)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     ((5*d[5])/6 + (233*d[12])/72 + (5*d[13])/6 + (13*d[14])/12 + 
       (671*d[20])/144 + (443*d[23])/144 + (65*d[24])/72)*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - v] + ((4*d[2])/3 - 2*d[3] + (16*d[4])/3 - 
       (71*d[5])/6 - (331*d[6])/72 - (29*d[7])/6 + (29*d[8])/3 - 7*d[9] + 
       (212*d[10])/9 - (73*d[11])/9 + (211*d[12])/72 - d[13] + (8*d[14])/3 + 
       (17*d[15])/18 - (271*d[16])/9 + (23*d[17])/6 - (43*d[18])/6 + 
       (50*d[19])/9 - (25*d[20])/72 - (7*d[21])/9 - d[22]/9 - (5*d[23])/24 - 
       (505*d[24])/36 + (11*d[26])/18 - (5*d[27])/6 - d[28]/3 - d[29]/3 - 
       (4*d[30])/3 + (2*d[31])/3 + (7*d[32])/6 + 5*d[33] - (17*d[34])/3 - 
       (4*d[35])/3 + 4*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + ((-8*d[3])/3 + (4*d[4])/3 + (23*d[5])/3 - 
       (17*d[7])/24 - (691*d[8])/72 + (443*d[9])/72 - (52*d[10])/3 + 
       (73*d[11])/36 - (91*d[12])/36 - (73*d[13])/12 + (17*d[14])/3 - d[15] + 
       (76*d[16])/3 + d[17]/3 + (5*d[18])/3 - (25*d[19])/9 - (427*d[20])/72 - 
       (34*d[21])/9 + 4*d[22] + (10*d[23])/9 + (218*d[24])/9 - (17*d[27])/9 - 
       d[28]/3 - (4*d[30])/3 + (4*d[31])/3 + (2*d[32])/3 - (58*d[33])/9 + 
       (46*d[34])/9 + 4*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + ((-4*d[2])/3 + (32*d[5])/3 - (11*d[7])/2 + 
       (59*d[8])/6 - (67*d[9])/6 + (13*d[10])/3 - d[11]/3 + (275*d[12])/36 - 
       d[13]/3 - (5*d[14])/2 - 4*d[16] + d[19] - (187*d[20])/72 + 
       (2*d[21])/3 + d[22]/3 - (571*d[23])/72 - (1105*d[24])/36 + 
       (2*d[27])/3 - (2*d[28])/3 - (8*d[30])/3 + (2*d[33])/3 - (2*d[34])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     ((-13*d[3])/3 + 8*d[4] - (25*d[5])/3 + d[6]/12 + (8*d[7])/3 + 14*d[8] - 
       14*d[9] + 11*d[10] - (95*d[11])/6 + 7*d[12] + 6*d[13] + 9*d[15] - 
       (85*d[16])/6 + (13*d[17])/6 + (83*d[18])/6 - (17*d[19])/6 - 
       (73*d[20])/12 - (39*d[21])/2 - (43*d[22])/6 - (23*d[23])/4 - 
       (683*d[24])/24 + (5*d[26])/2 - 2*d[27] + d[28]/3 + d[29]/3 - 
       (4*d[30])/3 + (7*d[31])/3 + (7*d[32])/6 + (10*d[33])/3 - 
       (17*d[34])/3 - d[35]/3 + 8*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + (-2*d[5] - (9*d[7])/2 + (31*d[8])/6 - 
       (23*d[9])/6 + 4*d[10] - (7*d[11])/3 + (13*d[12])/12 + (13*d[13])/2 + 
       2*d[14] + 2*d[15] - 8*d[16] - (2*d[19])/3 - d[20]/3 - (2*d[21])/3 - 
       2*d[22] - (19*d[23])/12 - (281*d[24])/12 + (2*d[27])/3 + d[28]/2 - 
       2*d[30] + (4*d[33])/3 - (4*d[34])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (-3*d[2] - 8*d[3] + 6*d[4] + 11*d[5] - 12*d[7] - (17*d[8])/2 + 8*d[9] - 
       8*d[10] + (19*d[11])/2 + (29*d[12])/6 - 7*d[13] - (7*d[15])/2 + 
       (25*d[16])/2 + 3*d[17] + d[18] + 4*d[19] - (109*d[20])/12 - d[21] + 
       11*d[22] + (11*d[23])/12 - (26*d[24])/3 + (5*d[27])/2 - (3*d[28])/2 + 
       6*d[30] + 4*d[31] + 2*d[32] - 8*d[33] + 4*d[34] + 12*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (d[2]/3 - (10*d[3])/3 + 3*d[4] + (9*d[5])/2 - (511*d[6])/72 - 
       (19*d[7])/6 - (11*d[8])/3 + (11*d[9])/3 - (106*d[10])/9 + 
       (38*d[11])/9 - (227*d[12])/72 + (17*d[13])/3 + (11*d[14])/3 - 
       (145*d[15])/18 + (139*d[16])/18 + (37*d[17])/6 - (125*d[18])/6 + 
       (59*d[19])/9 - (541*d[20])/72 + (295*d[21])/18 + (77*d[22])/9 + 
       (43*d[23])/24 + (85*d[24])/72 - d[25]/6 - (26*d[26])/9 - (7*d[27])/6 + 
       d[28]/3 + d[29]/3 - (4*d[30])/3 + 2*d[31] + d[32]/6 - (7*d[33])/3 + 
       d[34]/3 + (2*d[35])/3 + 4*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + ((2*d[5])/3 + (245*d[7])/24 - (145*d[8])/72 + 
       (185*d[9])/72 - (17*d[10])/6 - (65*d[11])/36 - (7*d[12])/9 + 
       (59*d[13])/12 - (13*d[14])/3 - 8*d[15] + (8*d[16])/3 + (68*d[19])/9 + 
       (401*d[20])/72 + (68*d[21])/9 + 8*d[22] - (65*d[23])/36 - 
       (31*d[24])/9 - (2*d[27])/9 + d[28]/2 - 2*d[30] - (4*d[33])/9 + 
       (4*d[34])/9)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + ((13*d[2])/3 + 8*d[3] - 7*d[4] - (101*d[5])/6 - 
       d[6] + (21*d[7])/2 - 4*d[8] - d[9] - (15*d[10])/2 - (5*d[11])/2 + 
       (467*d[12])/36 - (61*d[13])/3 - (17*d[14])/6 + (17*d[15])/2 + 
       8*d[16] - (15*d[17])/2 + (37*d[18])/2 - (29*d[19])/2 + 
       (2273*d[20])/72 - 6*d[21] - (37*d[22])/2 + (1613*d[23])/72 + 
       (3071*d[24])/36 + d[27]/2 - (3*d[28])/2 + 6*d[30] - 4*d[31] - 
       2*d[32] + 5*d[33] - d[34] - 12*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((-8*d[2])/3 + 6*d[5] + 2*d[7] - 6*d[9] - (8*d[10])/3 - (11*d[11])/3 + 
       (2*d[12])/3 - (10*d[13])/3 + 2*d[14] + 7*d[16] - d[19] + (2*d[20])/3 - 
       (4*d[21])/3 + d[22]/3 + (2*d[23])/3 + 11*d[24] - (2*d[27])/3 - 
       d[28]/3 - (4*d[30])/3 - (4*d[33])/3 + (4*d[34])/3)*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (-2*d[3] + 4*d[4] - 11*d[5] - (3*d[7])/2 - (13*d[8])/2 + (3*d[9])/2 - 
       (3*d[10])/2 - 20*d[11] - 9*d[12] + 4*d[15] - 4*d[16] + 5*d[17] - 
       d[18] - 7*d[19] - 6*d[21] - 9*d[22] + (47*d[24])/2 + d[25] - d[27] + 
       d[31] + d[32] + 4*d[33] - 6*d[34] - d[35])*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + (-2*d[3] + 2*d[4] - 5*d[5] - d[6] + d[7] + 
       2*d[8] - 4*d[9] - 8*d[10] - 4*d[11] + 6*d[12] - d[15] - (15*d[16])/2 + 
       12*d[18] + (17*d[20])/2 + 3*d[21] - 4*d[22] - 3*d[23] + (5*d[24])/2 + 
       d[27] - d[32]/2 + 4*d[33] - 4*d[34] + d[35] + 6*d[36])*
      HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (4*d[3] - 4*d[4] - 7*d[5] - (5*d[6])/3 - (2*d[7])/3 - (13*d[9])/3 + 
       6*d[10] - (4*d[11])/3 + (4*d[12])/3 + 10*d[13] + 2*d[14] + 
       (2*d[15])/3 + d[16]/3 + (20*d[17])/3 + (4*d[18])/3 - (2*d[19])/3 + 
       d[20]/6 - 2*d[21] - (8*d[22])/3 + (37*d[23])/6 + (71*d[24])/6 + 
       (2*d[26])/3 + (2*d[27])/3 + (2*d[28])/3 + d[29]/3 + (8*d[30])/3 - 
       (4*d[31])/3 - (2*d[32])/3 + 2*d[33] - (2*d[34])/3 + (8*d[35])/3 - 
       8*d[36])*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (-4*d[3] + 3*d[4] + (7*d[5])/2 - 5*d[7] + d[8]/2 + 2*d[9] + 
       (15*d[10])/4 + d[11] + 2*d[13] - d[14]/2 + d[15]/2 - 6*d[16] + 
       (3*d[17])/2 - (9*d[18])/2 + (5*d[19])/2 - (3*d[20])/2 - d[21] + 
       (7*d[22])/2 - (3*d[23])/2 - (75*d[24])/4 + d[27] + 2*d[30] + 2*d[31] + 
       d[32] - 2*d[33] + 6*d[36])*HPL[{0, 1, 1}, 1 - v]^2 + 
     ((-5*d[5])/4 + 2*d[6] - (5*d[7])/12 + (5*d[8])/3 - (5*d[9])/3 + 
       (4*d[10])/3 - (3*d[11])/4 + (17*d[12])/16 - (29*d[15])/24 - 
       (17*d[16])/6 + (3*d[17])/2 + (7*d[18])/2 + (49*d[19])/24 + 
       (53*d[20])/48 + (11*d[21])/8 + (13*d[22])/24 - (233*d[23])/48 - 
       (901*d[24])/96 + (2*d[26])/3 + (5*d[27])/12 + (5*d[33])/6 - 
       (5*d[34])/6)*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - w] + 
     ((-3*d[5])/4 - 2*d[6] - (15*d[7])/8 + (31*d[8])/8 - (27*d[9])/8 + 
       (10*d[10])/3 - (11*d[11])/6 - (167*d[12])/48 + (19*d[13])/24 + 
       d[14]/2 + (5*d[15])/6 - 4*d[16] + (37*d[17])/6 - 15*d[18] - d[19]/3 + 
       (235*d[20])/48 + (5*d[21])/2 - (3*d[22])/2 - (31*d[23])/12 - 
       (43*d[24])/3 - d[26]/2 + d[27]/4 + d[33]/2 - d[34]/2)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((11*d[5])/4 - (13*d[6])/72 + (55*d[7])/12 - (21*d[8])/2 + (17*d[9])/2 - 
       (25*d[10])/9 + (113*d[11])/36 + (443*d[12])/144 + (23*d[13])/6 + 
       (4*d[14])/3 - (175*d[15])/72 + (193*d[16])/18 - (31*d[17])/6 + 
       (25*d[18])/2 + (43*d[19])/72 - (1385*d[20])/144 - (5*d[21])/72 + 
       (199*d[22])/72 - (413*d[23])/48 + (6997*d[24])/288 + d[26]/9 - 
       (11*d[27])/12 + d[28]/2 + (2*d[30])/3 - (11*d[33])/6 + (11*d[34])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w] + 
     ((-19*d[5])/12 - (23*d[7])/8 + (227*d[8])/72 - (151*d[9])/72 + 
       (11*d[10])/6 + (29*d[11])/18 + (287*d[12])/144 - (5*d[13])/24 + 
       (13*d[14])/6 + (8*d[15])/3 - (19*d[16])/3 - d[17] - (29*d[19])/18 - 
       (11*d[20])/144 - (29*d[21])/18 - (8*d[22])/3 + (305*d[23])/72 - 
       (107*d[24])/18 + (19*d[27])/36 + (19*d[33])/18 - (19*d[34])/18)*
      HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w] + 
     ((19*d[2])/36 + (5*d[5])/6 + (8*d[6])/3 - (2*d[10])/3 - (2*d[11])/3 + 
       (28*d[12])/3 + (11*d[13])/6 - d[14]/4 + (14*d[15])/3 + (7*d[16])/3 - 
       3*d[17] + 13*d[18] - (14*d[19])/3 - (47*d[20])/12 - (20*d[21])/3 - 
       (14*d[22])/3 - (11*d[23])/3 + (13*d[24])/6 + (2*d[26])/3)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((20*d[2])/9 + 4*d[5] + (3*d[6])/2 - (19*d[7])/6 - (5*d[8])/2 + 
       (11*d[9])/6 - (28*d[10])/3 + d[11]/3 + (55*d[12])/6 + (4*d[13])/3 - 
       d[14] + (7*d[15])/3 + (38*d[16])/3 - (10*d[17])/3 + (26*d[18])/3 - 
       5*d[19] - (131*d[20])/12 - 3*d[21] - (7*d[22])/3 - (131*d[23])/12 + 
       14*d[24] - (2*d[26])/3 - (4*d[27])/3 - (8*d[33])/3 + (8*d[34])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (-d[2]/4 - (4*d[5])/3 + d[6] - (5*d[7])/2 + (23*d[8])/6 - (19*d[9])/6 + 
       3*d[10] + d[11]/3 - (139*d[12])/36 + (13*d[13])/6 - (13*d[14])/12 - 
       3*d[15] - 6*d[16] + (11*d[19])/3 + (461*d[20])/72 + (20*d[21])/3 + 
       3*d[22] + (683*d[23])/72 - (559*d[24])/36 - d[26] + d[27]/3 + 
       (2*d[33])/3 - (2*d[34])/3)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + (-d[1]/2 - (13*d[2])/6 + d[5] + (29*d[12])/6 + 
       d[13] - d[14] - (199*d[20])/12 - (91*d[23])/12 - (7*d[24])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w] + 
     ((2*d[2])/3 - 2*d[5] + (7*d[12])/6 - 2*d[13] + (5*d[14])/2 + 
       (85*d[20])/12 + (43*d[23])/12 + (19*d[24])/6)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w] + 
     ((19*d[5])/2 - (91*d[6])/12 + (19*d[7])/6 - (38*d[8])/3 + (38*d[9])/3 - 
       23*d[10] + (11*d[11])/2 - (39*d[12])/8 + d[14] - (57*d[15])/4 + 
       27*d[16] - (11*d[17])/6 - 15*d[18] + (95*d[19])/12 - (5*d[20])/8 + 
       (179*d[21])/12 + (57*d[22])/4 - (13*d[23])/8 + (389*d[24])/48 - 
       d[25]/2 - (7*d[26])/3 - (19*d[27])/6 - (19*d[33])/3 + (19*d[34])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((-4*d[2])/3 - (8*d[3])/3 + (8*d[4])/3 + (55*d[5])/6 + (2*d[6])/3 + 
       (41*d[7])/4 - (9*d[8])/4 + (5*d[9])/4 - (25*d[10])/3 - (7*d[11])/3 - 
       (49*d[12])/24 - (5*d[13])/4 - 7*d[14] - d[15] + (38*d[16])/3 + 
       d[17]/3 + (5*d[18])/3 - (2*d[19])/3 - (79*d[20])/24 - (5*d[21])/3 + 
       4*d[22] + (15*d[23])/4 + (35*d[24])/3 - (2*d[26])/3 - (7*d[27])/6 + 
       (2*d[28])/3 + (8*d[30])/3 + (4*d[31])/3 + (2*d[32])/3 - (13*d[33])/3 + 
       3*d[34] + 4*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w] + ((97*d[2])/18 - (19*d[5])/3 + 2*d[7] + 2*d[8] - 
       2*d[9] - (7*d[12])/3 - (13*d[13])/3 + (7*d[14])/2 - (31*d[20])/12 - 
       (21*d[23])/4 + (47*d[24])/6)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w] + (-d[1]/3 - (2*d[2])/3 - (8*d[3])/3 + 
       (8*d[4])/3 - (41*d[5])/6 - (25*d[6])/9 - (31*d[7])/6 + (29*d[8])/3 - 
       (28*d[9])/3 + (226*d[10])/9 - (85*d[11])/18 - (145*d[12])/72 + 
       (4*d[13])/3 + (10*d[14])/3 - (157*d[15])/36 - (278*d[16])/9 + 
       (4*d[17])/3 - 8*d[18] + (421*d[19])/36 - (581*d[20])/72 + 
       (349*d[21])/36 + (265*d[22])/36 - (79*d[23])/24 - (3941*d[24])/144 + 
       d[25]/3 - (4*d[26])/9 + (17*d[27])/6 + (4*d[31])/3 + d[32]/3 + 
       (13*d[33])/3 - (17*d[34])/3 + 4*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (-d[2] - (7*d[5])/6 + (41*d[7])/12 - (121*d[8])/36 - (7*d[9])/36 - 
       (26*d[10])/3 - (40*d[11])/9 - (151*d[12])/72 - (47*d[13])/12 + 
       (25*d[14])/3 - 8*d[15] + (46*d[16])/3 + (49*d[19])/9 + 
       (211*d[20])/72 + (49*d[21])/9 + 8*d[22] - (40*d[23])/9 + 
       (13*d[24])/9 - (23*d[27])/18 - d[28]/2 + 2*d[30] - (23*d[33])/9 + 
       (23*d[34])/9)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + ((-11*d[2])/6 + (19*d[5])/3 - 2*d[6] + d[11] + 
       (131*d[12])/18 + (19*d[13])/3 - (13*d[14])/6 - 2*d[17] - 2*d[18] + 
       (127*d[20])/18 - (16*d[23])/9 - (5*d[24])/9)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((65*d[6])/12 - (2*d[10])/3 - (2*d[11])/3 + (10*d[12])/3 - 
       (41*d[15])/6 + (4*d[16])/3 - (13*d[17])/2 + 20*d[18] + (41*d[19])/6 + 
       (95*d[20])/12 + (29*d[21])/6 + (41*d[22])/6 - (29*d[23])/4 - 
       (187*d[24])/24 - d[25]/2 + (2*d[26])/3)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (-7*d[5] - (15*d[7])/2 + (2*d[8])/3 + (2*d[9])/3 + 2*d[10] - 
       (7*d[11])/3 + (13*d[12])/12 - (11*d[13])/2 + 2*d[14] + 2*d[15] - 
       8*d[16] - (2*d[19])/3 - d[20]/3 - (2*d[21])/3 - 2*d[22] - 
       (19*d[23])/12 - (41*d[24])/12 + (2*d[27])/3 - d[28]/2 + 2*d[30] + 
       (4*d[33])/3 - (4*d[34])/3)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + (d[2] - (19*d[12])/6 + d[14] + (71*d[20])/12 + 
       (59*d[23])/12 - (43*d[24])/6)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + (4*d[5] + d[7] + (3*d[8])/2 - d[9]/2 - 
       3*d[10] - d[11] + 4*d[13] - (9*d[24])/2 + d[28]/2 + 2*d[30])*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (-d[2] - 2*d[6] + 3*d[14] - d[15] - (3*d[17])/2 - 2*d[18] + d[19] - 
       (13*d[20])/4 + d[21] + d[22] + (5*d[23])/2 + (19*d[24])/4 + d[25]/2)*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (-8*d[3] + 8*d[4] + 10*d[5] + (13*d[6])/2 - d[7] + 8*d[8] - d[9] + 
       7*d[10] + 9*d[12] - 12*d[13] + 4*d[15] - 5*d[16] + 6*d[17] + 7*d[18] + 
       d[19] - (35*d[20])/2 - 8*d[21] + 7*d[22] - 4*d[23] - (43*d[24])/2 + 
       d[25] - d[26] - d[27] + 4*d[31] + 2*d[32] - 6*d[33] + 2*d[34] + 
       12*d[36])*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (-8*d[3] + 8*d[4] + 19*d[5] - 2*d[6] - (17*d[7])/2 - (17*d[8])/2 + 
       (29*d[9])/2 + 6*d[10] + (15*d[11])/2 - 7*d[12] + 18*d[13] + 6*d[14] + 
       5*d[15] - 2*d[16] + 5*d[17] - 15*d[18] - 12*d[20] - 10*d[21] + 
       6*d[22] - d[23] - (25*d[24])/2 - d[27] + 2*d[28] - 4*d[30] + 4*d[31] + 
       2*d[32] - 6*d[33] + 2*d[34] + 12*d[36])*HPL[{0, 1, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + (-2*d[2] + (17*d[6])/6 - (4*d[10])/3 - 
       (4*d[11])/3 + (14*d[12])/3 + (13*d[15])/3 + (8*d[16])/3 - 4*d[17] + 
       16*d[18] - (13*d[19])/3 - (7*d[20])/6 - (25*d[21])/3 - (13*d[22])/3 - 
       (3*d[23])/2 + (59*d[24])/12 + (4*d[26])/3)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1}, 1 - u] + ((-8*d[2])/3 - 4*d[5] + (11*d[6])/6 - 
       7*d[7] + (25*d[8])/3 - (23*d[9])/3 + (29*d[10])/3 - 3*d[11] + 
       (5*d[12])/6 + d[13] + (10*d[15])/3 - 16*d[16] + 4*d[18] - 
       (2*d[19])/3 + (5*d[20])/3 - (5*d[21])/3 - (10*d[22])/3 - (8*d[23])/3 - 
       (125*d[24])/4 + d[26]/3 + (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((-7*d[5])/6 - 3*d[7] + (4*d[8])/3 - (2*d[9])/3 + 2*d[10] + d[11]/3 + 
       (7*d[12])/6 + (2*d[13])/3 + 2*d[14] - 4*d[16] + (2*d[19])/3 - 
       (13*d[20])/6 + (2*d[21])/3 - (19*d[23])/6 - 6*d[24] + d[27]/3 + 
       (2*d[33])/3 - (2*d[34])/3)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - u] + (2*d[1] + (10*d[2])/3 + 3*d[5] - d[6]/3 + 
       d[7] - 4*d[8] + 4*d[9] - (23*d[10])/3 + (4*d[11])/3 + d[12] + 
       2*d[14] - d[15]/3 + (28*d[16])/3 - (5*d[19])/3 - d[20]/2 - 
       (2*d[21])/3 + d[22]/3 + (5*d[23])/6 + 4*d[24] - d[26]/3 - d[27] - 
       2*d[33] + 2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u] + ((-2*d[2])/3 + (4*d[5])/3 + (8*d[8])/3 - 
       (4*d[9])/3 + 4*d[10] + (2*d[11])/3 + 3*d[12] + (4*d[13])/3 - 2*d[14] - 
       8*d[16] + (4*d[19])/3 - (11*d[20])/2 + (4*d[21])/3 - (5*d[23])/2 - 
       (19*d[24])/3 + (2*d[27])/3 + (4*d[33])/3 - (4*d[34])/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-d[5]/2 + (4*d[12])/3 - d[13]/2 + 2*d[14] - (16*d[20])/3 - 
       (4*d[23])/3 + (23*d[24])/6)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - u] + (-4*d[2] - 4*d[5] - 4*d[9] + 4*d[16] - 
       2*d[19] + 8*d[24])*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((2*d[2])/3 - 2*d[5] + (2*d[7])/3 + (2*d[8])/3 + (4*d[9])/3 - 
       (2*d[10])/3 - 2*d[11] - (2*d[13])/3 - (8*d[16])/3 - (22*d[24])/3)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-d[2] - 2*d[5] + d[7] + d[8] + 4*d[9] - d[10] + d[11] + d[13] + 
       3*d[24])*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((-2*d[2])/3 + 3*d[5] + d[7] - 4*d[8] + 4*d[9] - 8*d[10] + d[11] + 
       10*d[16] - 2*d[19] - 2*d[21] + 8*d[24] - d[27] - 2*d[33] + 2*d[34])*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((8*d[4])/3 + (23*d[6])/6 + (5*d[10])/3 - d[11]/3 + (14*d[12])/3 - 
       2*d[14] + (10*d[15])/3 + (2*d[16])/3 - 4*d[17] + 16*d[18] - 
       (14*d[19])/3 - (7*d[20])/6 - (13*d[21])/3 - (2*d[22])/3 - 
       (25*d[23])/6 + (59*d[24])/12 + d[26]/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-4*d[5] - 7*d[7] + (25*d[8])/3 - (11*d[9])/3 + 8*d[10] - (2*d[11])/3 + 
       (7*d[12])/6 + d[13] - 16*d[16] + (8*d[19])/3 - (7*d[20])/6 + 
       (8*d[21])/3 - (31*d[23])/6 - (85*d[24])/3 + (4*d[27])/3 + 
       (8*d[33])/3 - (8*d[34])/3)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - v] + ((-4*d[1])/3 + 2*d[2] - 5*d[5] + d[6]/2 - 
       d[7] + 4*d[8] - 4*d[9] + 7*d[10] - 2*d[11] + d[12] - 2*d[13] + 
       2*d[14] + 2*d[15] - 8*d[16] + 4*d[18] + (3*d[20])/2 - 3*d[21] - 
       2*d[22] - (3*d[23])/2 - (9*d[24])/4 + d[26] + d[27] + 2*d[33] - 
       2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((-2*d[2])/3 - 2*d[7] + d[12]/6 + d[13] + 4*d[14] - (8*d[20])/3 + 
       (16*d[23])/3 - (16*d[24])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v] + (-d[1]/2 - (13*d[2])/6 + 2*d[5] + 5*d[12] + 
       2*d[13] - (19*d[20])/2 - (9*d[23])/2 - d[24])*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - v] + (2*d[4] - (8*d[5])/3 - (2*d[6])/3 - 
       (2*d[12])/3 - d[14]/3 - (2*d[15])/3 - (2*d[17])/3 + (4*d[18])/3 + 
       (8*d[19])/3 + d[20]/3 + (2*d[21])/3 + (14*d[22])/3 + (2*d[23])/3 - 
       (2*d[24])/3 - d[25]/3)*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (2*d[4] - 2*d[19] - 4*d[22] - 4*d[23])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v] + (-d[2] - d[4] - d[6] - d[12] - (5*d[14])/2 - 
       d[15] - d[17] + 2*d[18] + (5*d[20])/2 + d[21] - d[22] - d[23] - 
       d[24] - d[25]/2)*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-3*d[5] + (13*d[6])/6 - d[7] + 4*d[8] - 4*d[9] + (22*d[10])/3 - 
       (5*d[11])/3 + (19*d[12])/3 + (5*d[15])/3 - (26*d[16])/3 + 4*d[18] + 
       d[19]/3 + d[20]/6 - (5*d[21])/3 - (5*d[22])/3 - (3*d[23])/2 - 
       (71*d[24])/12 + (2*d[26])/3 + d[27] + 2*d[33] - 2*d[34])*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - w] + 
     ((-8*d[4])/3 + 4*d[5] + (4*d[6])/3 - 2*d[7] - (16*d[8])/3 + 
       (14*d[9])/3 - (28*d[10])/3 + 4*d[11] + (35*d[12])/6 + d[13] + 
       2*d[14] - (2*d[15])/3 + (38*d[16])/3 - (10*d[19])/3 - (3*d[20])/2 - 
       (14*d[22])/3 - (7*d[23])/2 + 6*d[24] - (2*d[26])/3 - (4*d[27])/3 - 
       (8*d[33])/3 + (8*d[34])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w] + (-d[5] - d[7] + (4*d[8])/3 - (2*d[9])/3 + 
       2*d[10] + d[11]/3 + (2*d[12])/3 - d[13] - d[14] - 4*d[16] + 
       (2*d[19])/3 - (2*d[20])/3 + (2*d[21])/3 - (8*d[23])/3 - (7*d[24])/3 + 
       d[27]/3 + (2*d[33])/3 - (2*d[34])/3)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - w] + (2*d[5] + (5*d[6])/6 - (4*d[10])/3 - 
       (4*d[11])/3 - 5*d[12] + 2*d[13] + (13*d[15])/3 + (8*d[16])/3 - 
       4*d[17] + 16*d[18] - (13*d[19])/3 + 2*d[20] - (25*d[21])/3 - 
       (13*d[22])/3 - (4*d[23])/3 - (3*d[24])/4 + (4*d[26])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (-6*d[5] - 5*d[7] + (25*d[8])/3 - (17*d[9])/3 + 8*d[10] - (2*d[11])/3 - 
       (13*d[12])/6 - d[13] - 16*d[16] + (8*d[19])/3 + (25*d[20])/6 + 
       (8*d[21])/3 + (25*d[23])/6 - (77*d[24])/3 + (4*d[27])/3 + 
       (8*d[33])/3 - (8*d[34])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + ((-2*d[2])/3 + (23*d[12])/3 + 2*d[14] - 
       (103*d[20])/6 - (31*d[23])/6 + (11*d[24])/3)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - w] + (-2*d[4] - 4*d[9] + 4*d[11] + 8*d[12] - 
       2*d[19] - 4*d[22])*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (-2*d[1] - 2*d[4] - 2*d[19] - 4*d[22] - 4*d[23])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w] + ((-3*d[4])/2 + (9*d[6])/4 + d[12]/2 - 
       (3*d[15])/2 - d[17]/4 + (19*d[18])/4 + d[19] + 2*d[20] + 2*d[21] - 
       d[22]/2 + (5*d[23])/2 + (11*d[24])/4 - d[26]/4)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + ((-4*d[3])/3 + (16*d[4])/3 - (47*d[5])/3 - 
       (4*d[6])/3 - (17*d[7])/3 + (70*d[8])/3 - (50*d[9])/3 + (103*d[10])/3 - 
       (28*d[11])/3 + (65*d[12])/6 + d[13]/3 - (2*d[14])/3 + 9*d[15] - 
       (131*d[16])/3 + (20*d[17])/3 - 8*d[18] + (5*d[19])/3 - d[20]/2 - 
       (44*d[21])/3 - (23*d[22])/3 - (91*d[23])/6 - (137*d[24])/3 + 3*d[26] + 
       d[27] - d[29]/3 + (28*d[33])/3 - (28*d[34])/3 - (2*d[35])/3 + 4*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((11*d[5])/3 - d[7]/3 - (19*d[8])/3 + 2*d[9] - (49*d[10])/6 + d[12]/6 + 
       2*d[13] + 8*d[14] + (71*d[16])/6 - 2*d[19] + d[20]/6 - 2*d[21] - 
       (2*d[23])/3 + (44*d[24])/3 - d[27] - 2*d[33] + 2*d[34])*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((-2*d[2])/3 + 15*d[5] - (17*d[6])/6 + 5*d[7] - 20*d[8] + 20*d[9] - 
       (107*d[10])/3 + (28*d[11])/3 - (17*d[12])/3 + d[14] - (59*d[15])/6 + 
       (124*d[16])/3 + (21*d[17])/2 - (51*d[18])/2 + d[19]/3 - (10*d[20])/3 + 
       (40*d[21])/3 + (31*d[22])/3 - d[23] + (415*d[24])/12 - d[25]/2 - 
       (13*d[26])/3 - 5*d[27] - 10*d[33] + 10*d[34])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((-4*d[2])/9 + (20*d[5])/3 + (23*d[7])/3 + 6*d[8] - (14*d[9])/3 + 
       (4*d[10])/3 + 4*d[11] + (55*d[12])/6 + 7*d[13] - 16*d[14] - 
       (25*d[16])/3 + (4*d[19])/3 - (25*d[20])/2 + (4*d[21])/3 - 
       (37*d[23])/6 - (28*d[24])/3 + d[27] + (4*d[33])/3 - (4*d[34])/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (4*d[2] - 10*d[5] - (101*d[12])/12 - 10*d[13] + 6*d[14] + 
       (125*d[20])/12 + (59*d[23])/12 + (52*d[24])/3)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + (-d[2] + 2*d[3] - 2*d[4] + 3*d[5] - d[6] + 
       4*d[7] + 3*d[8] - d[10] + 9*d[11] + 8*d[12] + 2*d[13] + (21*d[16])/2 - 
       4*d[17] + 6*d[18] + d[19] + 2*d[21] - d[22] + 2*d[23] - (7*d[24])/2 - 
       d[27] + d[29] + 2*d[33] - 2*d[34] + d[35] - 6*d[36])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((-4*d[3])/3 + 2*d[4] - (2*d[5])/3 + d[6] + (4*d[7])/3 + 3*d[8] - 
       (4*d[9])/3 + (4*d[10])/3 - (14*d[11])/3 - 2*d[12] - (10*d[14])/3 + 
       3*d[15] - 6*d[16] + (7*d[17])/3 - 3*d[18] - (4*d[19])/3 - 
       (5*d[20])/3 - (10*d[21])/3 - (4*d[22])/3 - (2*d[23])/3 - (5*d[24])/3 + 
       d[25]/3 - d[26]/3 - d[27]/3 - d[29]/3 - (4*d[35])/3 + 4*d[36])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (d[7] + d[8] - d[9] - 3*d[10] + d[11]/2 + 2*d[12] + 3*d[14] - 4*d[15] + 
       4*d[19] + (5*d[20])/2 + 4*d[21] + 4*d[22] - d[23] - (9*d[24])/2 + 
       d[35])*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((-7*d[4])/3 + 15*d[5] - (13*d[6])/2 + 5*d[7] - 20*d[8] + (59*d[9])/3 - 
       (112*d[10])/3 + (15*d[11])/2 - (91*d[12])/6 - 8*d[15] + 
       (269*d[16])/6 + (16*d[17])/3 - (77*d[18])/3 - (4*d[19])/3 + 
       (28*d[21])/3 + (19*d[22])/3 + 8*d[23] + (123*d[24])/4 - (7*d[26])/3 - 
       5*d[27] - 10*d[33] + 10*d[34])*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 1}, 1 - v] + ((-4*d[3])/3 + (16*d[4])/3 - (14*d[5])/3 + 
       (13*d[6])/6 + (41*d[7])/3 + 7*d[8] - (13*d[9])/3 + 10*d[10] - 
       (26*d[11])/3 + (13*d[12])/6 + 3*d[13] - (32*d[14])/3 + (7*d[15])/3 - 
       (25*d[16])/3 + 4*d[18] + d[19] + d[20] - 5*d[21] - (7*d[22])/3 + 
       2*d[23] - (31*d[24])/12 - (8*d[27])/3 + (2*d[28])/3 + d[29]/3 + 
       (10*d[33])/3 - (10*d[34])/3 - (2*d[35])/3 + 4*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-2*d[7] + d[8]/2 - d[9]/2 - (7*d[10])/4 - d[11]/2 + 6*d[13] + 
       (5*d[14])/2 + d[20]/2 - d[23] - (35*d[24])/4 + d[28]/2)*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     (2*d[2] - 25*d[5] - d[6] - 5*d[7] + 20*d[8] - 20*d[9] + (113*d[10])/3 - 
       (19*d[11])/3 + (10*d[12])/3 - 10*d[13] + 6*d[14] - (136*d[16])/3 + 
       (29*d[17])/3 - 7*d[18] + (31*d[19])/3 + (67*d[20])/6 + (10*d[21])/3 + 
       d[22]/3 - (7*d[23])/2 - 24*d[24] + d[25]/3 + (7*d[26])/3 + 5*d[27] + 
       d[32]/3 + 10*d[33] - 10*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + (d[2]/3 + 5*d[5] - 4*d[7] - (26*d[8])/3 + 
       (10*d[9])/3 - 17*d[10] + (4*d[11])/3 + (5*d[12])/3 - 7*d[13] + 
       11*d[14] + 32*d[16] - (16*d[19])/3 - (55*d[20])/6 - (16*d[21])/3 - 
       (13*d[23])/6 + (91*d[24])/6 - (8*d[27])/3 - d[28] - (16*d[33])/3 + 
       (16*d[34])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + ((-10*d[2])/3 + 10*d[5] + (101*d[12])/12 + 
       10*d[13] - (13*d[14])/2 - (107*d[20])/12 - (26*d[23])/3 - 
       (59*d[24])/6)*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((-4*d[3])/3 + 2*d[4] + 4*d[5] - (7*d[6])/3 + d[8]/3 - (2*d[9])/3 - 
       (4*d[10])/3 - (13*d[11])/3 - (4*d[12])/3 - (8*d[13])/3 - (2*d[14])/3 - 
       (4*d[15])/3 - d[16] - d[17] - (4*d[18])/3 + 2*d[19] + d[20]/6 - 
       (4*d[21])/3 + (8*d[22])/3 - d[23] - (73*d[24])/6 + d[26]/3 - d[27] - 
       d[28]/3 - d[29]/3 - (4*d[30])/3 - (2*d[33])/3 + (2*d[34])/3 - 
       (4*d[35])/3 + 4*d[36])*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (3*d[3] - 3*d[4] + d[5] + d[6] + d[7] + 2*d[8] + 3*d[9] + d[10] + 
       7*d[11] + d[12] + 8*d[13] + d[14] + (11*d[16])/2 - d[17] + 3*d[18] + 
       d[20] + 4*d[21] - d[22] - d[23] - (13*d[24])/2 + d[28] + d[29]/2 + 
       d[33] + d[35] - 6*d[36])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-d[6] - d[12] + 5*d[13] + 3*d[14] - d[15] + 5*d[16] - (5*d[17])/2 - 
       d[18] + d[19] - (13*d[20])/4 + d[21] + d[22] + (5*d[23])/2 + 
       (33*d[24])/4 + d[28]/2 + d[29]/2 - 2*d[30] + d[35])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + ((3*d[4])/2 - 15*d[5] + (35*d[6])/12 - 
       5*d[7] + 20*d[8] - 20*d[9] + (118*d[10])/3 - (17*d[11])/3 + 
       (47*d[12])/6 + (19*d[15])/6 - (146*d[16])/3 + (17*d[17])/4 - 
       (19*d[18])/4 + (22*d[19])/3 + (7*d[20])/6 + (13*d[21])/3 - 
       (7*d[22])/6 - 7*d[23] - (116*d[24])/3 + (11*d[26])/12 + 5*d[27] + 
       10*d[33] - 10*d[34])*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     ((8*d[3])/3 - (20*d[4])/3 + (50*d[5])/3 - (31*d[6])/6 - d[7]/3 - 
       (83*d[8])/3 + (65*d[9])/3 - (116*d[10])/3 + 14*d[11] - 3*d[12] + 
       8*d[13] + (40*d[14])/3 - (29*d[15])/3 + (161*d[16])/3 + 4*d[17] - 
       24*d[18] - (7*d[19])/3 - (19*d[20])/6 + (35*d[21])/3 + (23*d[22])/3 + 
       (23*d[23])/6 + (607*d[24])/12 - 2*d[26] - (4*d[27])/3 + (2*d[28])/3 + 
       d[29]/3 - 10*d[33] + 10*d[34] + (4*d[35])/3 - 8*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (3*d[5] + 10*d[7] - (15*d[8])/2 + (15*d[9])/2 - (17*d[10])/4 + d[11]/2 - 
       2*d[12] + (3*d[13])/2 - (15*d[14])/2 + 12*d[16] - 2*d[19] + 
       (3*d[20])/2 - 2*d[21] + 6*d[23] + (109*d[24])/4 - d[27] + d[28]/2 - 
       2*d[33] + 2*d[34])*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-d[2]/3 + 10*d[5] + (7*d[6])/2 - (11*d[12])/3 + 10*d[13] - 5*d[14] + 
       (3*d[15])/2 - (13*d[17])/2 + (11*d[18])/2 - 2*d[19] - (23*d[20])/6 - 
       2*d[21] - 2*d[22] + (7*d[23])/6 - (131*d[24])/12 - d[25]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (d[2] - 13*d[5] - d[7] - 5*d[8] + 5*d[9] + d[10] - 2*d[11] - 
       (19*d[12])/2 - 19*d[13] + 3*d[14] + 23*d[20] + 5*d[23] + 
       (71*d[24])/2 - d[28])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + ((4*d[2])/3 - 3*d[12] + (13*d[20])/2 + 
       (7*d[23])/2 - 5*d[24])*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     (2*d[3] - 3*d[4] + d[5]/2 + (3*d[6])/2 + (3*d[7])/2 - (9*d[8])/2 + 
       d[9] - 3*d[10] + d[11] + 2*d[12] + 2*d[14] - d[15] + 10*d[16] - 
       d[19] + 5*d[21] - 2*d[22] + (39*d[24])/2 - d[26]/2 + d[29]/2 + d[33] - 
       d[34] + d[35] - 6*d[36])*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (2*d[3] - 3*d[4] + 2*d[5] - d[6] - (5*d[8])/2 - 2*d[9] - (3*d[10])/2 - 
       2*d[11] + 8*d[13] + 4*d[14] - 2*d[15] + 11*d[16] - d[17]/2 + 
       (3*d[18])/2 + d[19]/2 + 2*d[20] + 6*d[21] + d[22]/2 + 4*d[23] + 
       (19*d[24])/2 + d[25]/2 + d[27]/2 + d[28] + d[29]/2 - d[32] + d[35] - 
       6*d[36])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 
     ((-17*d[6])/4 + 2*d[10] + 2*d[11] - 7*d[12] - (13*d[15])/2 - 4*d[16] + 
       6*d[17] - 24*d[18] + (13*d[19])/2 + (7*d[20])/4 + (25*d[21])/2 + 
       (13*d[22])/2 + (9*d[23])/4 - (59*d[24])/8 - 2*d[26])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1, 1}, 1 - u] + ((8*d[4])/3 + (21*d[5])/2 - (3*d[6])/2 + 
       12*d[7] - (37*d[8])/2 + (35*d[9])/2 - 26*d[10] + (13*d[11])/2 + 
       d[12]/4 - (3*d[13])/2 - 4*d[15] + 34*d[16] + 4*d[17] - 12*d[18] - 
       (5*d[19])/3 - (15*d[20])/4 + (20*d[22])/3 + (17*d[23])/4 + 
       (189*d[24])/4 - d[26] - (7*d[27])/2 - 7*d[33] + 7*d[34])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-d[2] + 4*d[3] - 9*d[4] - (8*d[5])/3 + (5*d[6])/6 + (9*d[7])/2 - 
       (101*d[8])/12 + (5*d[9])/12 - (63*d[10])/4 + (29*d[11])/4 - 
       (39*d[12])/4 + 13*d[13] - (15*d[14])/2 - (3*d[15])/2 + (11*d[16])/6 + 
       (121*d[17])/12 - (295*d[18])/12 - (19*d[19])/12 + 46*d[20] + 
       (19*d[21])/3 - (59*d[22])/12 + 31*d[23] + (151*d[24])/12 + 
       (5*d[26])/2 + (67*d[27])/12 - 2*d[31] - d[32] + (10*d[33])/3 - 
       (4*d[34])/3 - 6*d[36])*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (d[2] - 9*d[5] + d[6] - 3*d[7] + 12*d[8] - 12*d[9] + 23*d[10] - 
       4*d[11] - d[12]/2 - 3*d[14] + d[15] - 28*d[16] + 5*d[19] - d[20]/4 + 
       2*d[21] - d[22] - (5*d[23])/4 - (37*d[24])/2 + d[26] + 3*d[27] + 
       6*d[33] - 6*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u] + (6*d[2] + 8*d[3] + 2*d[4] - (83*d[5])/3 + 
       (17*d[6])/3 + (28*d[7])/3 + d[8]/3 - (41*d[9])/3 - (83*d[10])/3 - 
       (121*d[11])/6 - 43*d[12] + 26*d[13] + 3*d[14] - 3*d[15] + 
       (11*d[16])/3 + (121*d[17])/6 - (295*d[18])/6 - (19*d[19])/6 + 
       (191*d[20])/2 + (38*d[21])/3 - (59*d[22])/6 + (125*d[23])/2 - 
       (23*d[24])/6 - 5*d[26] - (11*d[27])/3 - 4*d[31] - 2*d[32] + 
       (20*d[33])/3 - (8*d[34])/3 - 12*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u] + (9*d[4] + (39*d[5])/8 + (45*d[7])/8 + 
       (9*d[9])/2 - (9*d[10])/2 - (99*d[11])/8 - (113*d[12])/8 + 
       (33*d[13])/4 - (33*d[14])/4 + (27*d[15])/4 + (45*d[16])/2 + 9*d[17] - 
       18*d[18] - 9*d[19] + (191*d[20])/8 - (45*d[21])/2 - (27*d[22])/4 + 
       (95*d[23])/8 - (37*d[24])/4 - (81*d[27])/8 - (9*d[33])/4 + 
       (9*d[34])/4)*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (14*d[3] - (11*d[4])/2 - 16*d[5] + (15*d[6])/4 + (39*d[7])/4 - 
       (21*d[8])/2 - (3*d[9])/4 - (63*d[10])/4 - (33*d[11])/4 - (7*d[12])/2 + 
       12*d[13] - (9*d[14])/2 + (7*d[15])/4 + 21*d[16] + (11*d[17])/4 - 
       (51*d[18])/4 - (51*d[19])/4 + (69*d[20])/4 + d[21] - (71*d[22])/4 + 
       (9*d[23])/2 + (129*d[24])/4 + (3*d[26])/4 - (9*d[27])/4 - 6*d[31] - 
       3*d[32] + 6*d[33] - 18*d[36])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u] + ((2*d[4])/3 - d[5]/3 + d[6]/2 - 
       (3*d[10])/2 - (3*d[11])/2 + 7*d[12] + d[15]/2 + 3*d[16] + 
       (31*d[17])/2 - (27*d[18])/2 + (13*d[19])/6 + (5*d[20])/2 - 3*d[21] + 
       (17*d[22])/6 - 5*d[23] - 15*d[24] + 2*d[26])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + ((3*d[2])/2 - 12*d[3] + (23*d[4])/2 + 
       (63*d[5])/4 + (33*d[6])/4 + (3*d[7])/2 + 12*d[8] - (9*d[9])/4 + 
       (39*d[10])/4 - (15*d[11])/4 + 6*d[12] - 24*d[13] + (3*d[14])/2 + 
       (15*d[15])/2 - (15*d[16])/4 + (15*d[17])/2 - 3*d[18] + d[19]/4 - 
       (87*d[20])/2 - 9*d[21] + (35*d[22])/4 - 9*d[23] - (51*d[24])/2 - 
       (9*d[26])/4 - 3*d[27] + 6*d[31] + 3*d[32] - (21*d[33])/2 + 
       (9*d[34])/2 + 18*d[36])*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     ((3*d[2])/2 + (23*d[3])/6 - (53*d[4])/6 - 11*d[5] + d[6]/3 - 
       (21*d[7])/4 + (49*d[8])/4 - (139*d[9])/12 + (89*d[10])/4 + 11*d[11] + 
       (77*d[12])/4 - d[13]/2 - (3*d[14])/2 - (58*d[15])/3 - 47*d[16] + 
       (47*d[17])/6 - (65*d[18])/6 + (155*d[19])/6 + (21*d[20])/4 + 
       (104*d[21])/3 + (89*d[22])/6 - (31*d[23])/4 - (191*d[24])/4 + 
       (2*d[26])/3 + (19*d[27])/2 - (11*d[31])/6 - (5*d[32])/6 + 11*d[33] - 
       (55*d[34])/6 - 6*d[36])*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((-23*d[6])/4 - 4*d[7] - 4*d[8] + 4*d[9] + d[10]/2 + (9*d[11])/2 - 
       3*d[12] + 6*d[14] - 5*d[15] - d[16] + 6*d[17] - 24*d[18] + 5*d[19] + 
       (3*d[20])/4 + (13*d[21])/2 + 5*d[22] - (7*d[23])/4 - (27*d[24])/8 - 
       d[26]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (6*d[5] + (21*d[7])/2 - (25*d[8])/2 + (17*d[9])/2 - 12*d[10] + d[11] - 
       (7*d[12])/4 - (3*d[13])/2 - (3*d[14])/4 + 24*d[16] - 4*d[19] + 
       (7*d[20])/4 - 4*d[21] + (19*d[23])/4 + (85*d[24])/2 - 2*d[27] - 
       4*d[33] + 4*d[34])*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((14*d[3])/3 - (8*d[4])/3 + 23*d[5] - (40*d[6])/3 + 31*d[7] - 49*d[8] + 
       (148*d[9])/3 - (389*d[10])/6 + 14*d[11] + 21*d[12] + 9*d[13] - 
       3*d[14] + (16*d[15])/3 + (313*d[16])/3 - (77*d[17])/6 + (77*d[18])/6 - 
       (163*d[19])/6 - 5*d[20] - (83*d[21])/3 - (73*d[22])/6 + 
       (119*d[23])/2 + (2273*d[24])/12 - (2*d[26])/3 - 16*d[27] + d[28] + 
       4*d[30] - (14*d[31])/3 - (13*d[32])/6 - 12*d[33] + (50*d[34])/3 - 
       12*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (d[2] + 6*d[7] - d[12] - (9*d[13])/2 - (15*d[14])/2 + (25*d[20])/4 + 
       d[23]/4 + 14*d[24])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + (2*d[2] + 9*d[4] - 15*d[5] + (9*d[6])/8 + 
       (27*d[7])/4 - (9*d[8])/4 + (27*d[9])/4 - (9*d[10])/8 - (63*d[11])/8 + 
       (33*d[12])/8 - (69*d[13])/4 + (9*d[14])/2 + (81*d[15])/8 + 
       (27*d[16])/4 - (81*d[19])/8 + (255*d[20])/8 - (81*d[21])/4 - 
       (81*d[22])/8 + (249*d[24])/8 - (9*d[26])/8 - 9*d[27])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((-9*d[5])/2 - 2*d[7] - (3*d[8])/2 + (7*d[9])/2 + (31*d[10])/2 + 
       (13*d[11])/2 + 6*d[12] + 8*d[13] - d[14] - 17*d[16] + 3*d[19] - 
       (15*d[20])/2 + 3*d[21] - 7*d[23] - (13*d[24])/2 + (3*d[27])/2 + 
       d[28] + 4*d[30] + 3*d[33] - 3*d[34])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v] + (12*d[3] - (15*d[4])/2 - (51*d[5])/4 - 
       (3*d[6])/2 + (21*d[7])/4 + 3*d[8] - 6*d[9] - 10*d[10] + (7*d[11])/2 + 
       5*d[12] - 6*d[13] - (3*d[14])/2 + (15*d[15])/4 + (33*d[16])/4 - 
       (21*d[17])/4 + (51*d[18])/4 - (21*d[19])/2 - (63*d[20])/4 - 3*d[21] - 
       (27*d[22])/2 - d[23]/2 + 37*d[24] - (15*d[27])/4 - 6*d[31] - 3*d[32] + 
       (15*d[33])/2 - (3*d[34])/2 - 18*d[36])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v] + (-d[1]/2 - 3*d[2] - 12*d[3] + (27*d[4])/2 + 
       (69*d[5])/4 - (15*d[6])/4 - 12*d[7] - (27*d[8])/2 + (69*d[9])/4 - 
       (9*d[10])/4 + 9*d[11] - 21*d[12] - (3*d[13])/2 + (3*d[14])/2 - 
       (57*d[15])/4 + (33*d[16])/2 + 6*d[17] - 33*d[18] + (75*d[19])/4 - 
       (15*d[20])/2 + (3*d[21])/2 + (129*d[22])/4 - (33*d[23])/2 - 
       (63*d[24])/4 + (3*d[26])/4 - (9*d[27])/2 + 6*d[31] + 3*d[32] - 
       12*d[33] + 6*d[34] + 18*d[36])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + (-2*d[2] + 9*d[5] - (13*d[6])/2 + 3*d[7] - 
       12*d[8] + 12*d[9] - 22*d[10] + 5*d[11] - 7*d[12] - 5*d[15] + 
       26*d[16] - 12*d[18] - d[19] - d[20]/2 + 5*d[21] + 5*d[22] + 
       (9*d[23])/2 + (71*d[24])/4 - 2*d[26] - 3*d[27] - 6*d[33] + 6*d[34])*
      HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((-8*d[2])/3 - 12*d[5] - 4*d[6] + 6*d[7] + 16*d[8] - 14*d[9] + 
       28*d[10] - 4*d[11] - (19*d[12])/2 - 3*d[13] - 6*d[14] + 2*d[15] - 
       38*d[16] + 6*d[19] + (7*d[20])/2 - 2*d[22] + (21*d[23])/2 - 
       (55*d[24])/2 + 2*d[26] + 4*d[27] + 8*d[33] - 8*d[34])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (3*d[5] + 3*d[7] - 4*d[8] + 2*d[9] - 6*d[10] - d[11] - 2*d[12] + 
       (9*d[13])/4 + (15*d[14])/4 + 12*d[16] - 2*d[19] + 2*d[20] - 2*d[21] + 
       2*d[23] + (31*d[24])/4 - d[27] - 2*d[33] + 2*d[34])*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - w] + (2*d[1] + (7*d[2])/2 - 6*d[5] - (5*d[6])/4 + 
       2*d[10] + 2*d[11] - 5*d[12] - 6*d[13] - (13*d[15])/2 - 4*d[16] + 
       6*d[17] - 24*d[18] + (13*d[19])/2 - (19*d[20])/4 + (25*d[21])/2 + 
       (13*d[22])/2 + (7*d[23])/4 + (77*d[24])/8 - 2*d[26])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (12*d[5] + (15*d[7])/2 - (25*d[8])/2 + (17*d[9])/2 - 12*d[10] + d[11] + 
       (33*d[12])/4 + (9*d[13])/2 - (3*d[14])/2 + 24*d[16] - 4*d[19] - 
       (57*d[20])/4 - 4*d[21] - (21*d[23])/4 + (75*d[24])/2 - 2*d[27] - 
       4*d[33] + 4*d[34])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w] + (d[2] - (23*d[12])/2 - 3*d[14] + 
       (103*d[20])/4 + (31*d[23])/4 - (11*d[24])/2)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - w] + (-4*d[2] - 6*d[12] + 6*d[23] - 6*d[24])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((-3*d[11])/2 - 6*d[12] + 6*d[23] - 6*d[24])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w] + (8*d[5] + (17*d[6])/6 - (4*d[10])/3 - 
       (4*d[11])/3 + (8*d[12])/3 + (13*d[15])/3 - (16*d[16])/3 - 4*d[17] + 
       16*d[18] - (13*d[19])/3 - (7*d[20])/6 - (25*d[21])/3 - (13*d[22])/3 - 
       (3*d[23])/2 - (37*d[24])/12 + (4*d[26])/3)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1}, 1 - u] + ((4*d[5])/3 - 7*d[7] + (25*d[8])/3 - 
       (17*d[9])/3 + 8*d[10] - (2*d[11])/3 + (7*d[12])/6 + d[13] - 16*d[16] + 
       (8*d[19])/3 + (5*d[20])/6 + (8*d[21])/3 - (19*d[23])/6 - 
       (85*d[24])/3 + (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     ((-2*d[2])/3 + 4*d[5] - d[12]/3 + 2*d[14] - (7*d[20])/6 + (17*d[23])/6 - 
       (13*d[24])/3)*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     ((-8*d[1])/3 + (17*d[6])/6 - (4*d[10])/3 - (4*d[11])/3 + (8*d[12])/3 + 
       (13*d[15])/3 + (8*d[16])/3 - 4*d[17] + 16*d[18] - (13*d[19])/3 - 
       (7*d[20])/6 - (25*d[21])/3 - (13*d[22])/3 - (3*d[23])/2 + 
       (59*d[24])/12 + (4*d[26])/3)*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 
       1 - v] + (-4*d[1] - 4*d[5] - 7*d[7] + (25*d[8])/3 - (17*d[9])/3 + 
       8*d[10] - (2*d[11])/3 + (7*d[12])/6 + d[13] - 16*d[16] + (8*d[19])/3 + 
       (5*d[20])/6 + (8*d[21])/3 + 4*d[22] - (19*d[23])/6 - (85*d[24])/3 + 
       (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1}, 1 - v] + (-2*d[1] - (2*d[2])/3 - d[12]/3 + 
       2*d[14] - (7*d[20])/6 + (17*d[23])/6 - (13*d[24])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 0, 1}, 1 - v] + (-4*d[4] + (17*d[6])/6 - (4*d[10])/3 - 
       (4*d[11])/3 + (8*d[12])/3 + (13*d[15])/3 + (8*d[16])/3 - 4*d[17] + 
       16*d[18] - (13*d[19])/3 - (7*d[20])/6 - (25*d[21])/3 - (25*d[22])/3 - 
       (3*d[23])/2 + (59*d[24])/12 + (4*d[26])/3)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1}, 1 - w] + (4*d[3] - 4*d[4] - 4*d[5] - 7*d[7] + 
       (25*d[8])/3 - (17*d[9])/3 + 8*d[10] - (2*d[11])/3 + (7*d[12])/6 + 
       d[13] - 16*d[16] + (8*d[19])/3 + (5*d[20])/6 + (8*d[21])/3 - 4*d[22] - 
       (19*d[23])/6 - (85*d[24])/3 + (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     ((-2*d[2])/3 - d[12]/3 + 2*d[14] - (7*d[20])/6 + (17*d[23])/6 - 
       (13*d[24])/3)*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     (-2*d[2] - 6*d[3] + 6*d[4] - (61*d[6])/6 + (11*d[10])/3 + (20*d[11])/3 - 
       (22*d[12])/3 - 6*d[13] - (101*d[15])/3 - (58*d[16])/3 + 36*d[17] - 
       120*d[18] + (101*d[19])/3 + (35*d[20])/6 + (161*d[21])/3 + 
       (101*d[22])/3 + (3*d[23])/2 - (271*d[24])/12 - (20*d[26])/3 - 
       3*d[29] - 3*d[35] + 18*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1}, 1 - u] + (4*d[2] + 36*d[5] + (83*d[7])/3 - 
       (91*d[8])/3 - (41*d[9])/3 - (98*d[10])/3 - (50*d[11])/3 - 
       (91*d[12])/6 - 9*d[13] + 40*d[16] - 4*d[19] + (19*d[20])/6 - 
       (40*d[21])/3 + (16*d[22])/3 + (151*d[23])/6 + (293*d[24])/3 - 
       4*d[27] - 2*d[28] - 8*d[30] - (40*d[33])/3 + (40*d[34])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u] + 
     ((88*d[2])/3 + 6*d[5] - 3*d[7] - 11*d[8] + 17*d[9] - 36*d[10] + 
       4*d[11] + (35*d[12])/3 + 22*d[13] - 10*d[14] + 20*d[16] - 2*d[17] + 
       2*d[18] - 10*d[19] + (101*d[20])/6 - 8*d[21] - 2*d[22] - 
       (145*d[23])/6 + (98*d[24])/3 + 3*d[28] + 12*d[30] - 12*d[33] + 
       8*d[34])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u] + 
     ((8*d[2])/3 + (16*d[4])/3 - (65*d[6])/6 + 4*d[10] + 4*d[11] - 36*d[12] + 
       (4*d[14])/3 - (43*d[15])/3 - (32*d[16])/3 + (116*d[17])/3 - 
       (376*d[18])/3 + (41*d[19])/3 - (7*d[20])/6 + 35*d[21] + (73*d[22])/3 + 
       (11*d[23])/2 - (251*d[24])/12 + 2*d[25] - (14*d[26])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     (-6*d[3] + 6*d[4] + 20*d[5] + 31*d[7] - (137*d[8])/3 + (109*d[9])/3 - 
       55*d[10] - (86*d[11])/3 - (71*d[12])/6 - 5*d[13] + 80*d[16] - 
       (40*d[19])/3 - (25*d[20])/6 - (40*d[21])/3 + (83*d[23])/6 + 
       (437*d[24])/3 + 3*d[25] - (20*d[27])/3 - (40*d[33])/3 + (40*d[34])/3 - 
       3*d[35] + 18*d[36])*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     ((-14*d[2])/3 - 4*d[3] - 4*d[4] + 2*d[6] + 2*d[10] + 4*d[11] + 
       (47*d[12])/3 - 4*d[14] - 21*d[15] - 6*d[16] + 7*d[17] - 13*d[18] + 
       26*d[19] + (37*d[20])/3 + 38*d[21] + 18*d[22] + (101*d[23])/6 + 
       (205*d[24])/6 + 3*d[25] - 2*d[26] + 4*d[31] + 2*d[32] - 4*d[34])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     ((-157*d[6])/6 + (20*d[10])/3 + (20*d[11])/3 - (52*d[12])/3 + 6*d[14] - 
       (53*d[15])/3 - (31*d[16])/3 + 36*d[17] - 120*d[18] + (44*d[19])/3 - 
       d[20]/6 + (113*d[21])/3 + (44*d[22])/3 + (15*d[23])/2 + 
       (89*d[24])/12 - (20*d[26])/3 + 3*d[32] - 6*d[34] + 3*d[35] - 18*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w] + 
     (6*d[3] - 6*d[4] + 23*d[5] + 56*d[7] - (44*d[8])/3 + (31*d[9])/3 - 
       63*d[10] + (31*d[11])/3 + (37*d[12])/6 - 5*d[13] + 80*d[16] - 
       (40*d[19])/3 - (25*d[20])/6 - (40*d[21])/3 + (107*d[23])/6 + 
       (413*d[24])/3 - (20*d[27])/3 - (40*d[33])/3 + (40*d[34])/3 + 3*d[35] - 
       18*d[36])*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w] + 
     ((10*d[2])/3 + (5*d[12])/3 - 10*d[14] + (35*d[20])/6 - (85*d[23])/6 + 
       (65*d[24])/3)*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w] + 
     ((-3*d[2])/2 - 2*d[3] + d[4] + d[5]/2 - (13*d[6])/2 - d[7]/2 - d[8]/2 + 
       2*d[10] + 5*d[11] - 5*d[12] - 2*d[13] - 18*d[15] - 10*d[16] + 
       16*d[17] - 59*d[18] + 18*d[19] + (7*d[20])/2 + 30*d[21] + 18*d[22] + 
       (5*d[23])/2 - (25*d[24])/2 - (7*d[26])/2 + d[27] - d[29] - d[35] + 
       6*d[36])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     ((5*d[2])/3 + (35*d[5])/2 + (46*d[7])/3 - (33*d[8])/2 - (13*d[9])/6 - 
       (91*d[10])/6 - (17*d[11])/2 - (49*d[12])/6 - 5*d[13] + 23*d[16] - 
       3*d[19] + (2*d[20])/3 - 7*d[21] + 2*d[22] + (41*d[23])/3 + 
       (160*d[24])/3 - (13*d[27])/6 - d[28] - 4*d[30] - 7*d[33] + 7*d[34])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     ((27*d[2])/2 + (5*d[5])/2 - 8*d[8] + 11*d[9] - (35*d[10])/2 + d[11] + 
       6*d[12] + 11*d[13] - 6*d[14] + 10*d[16] - d[17] + d[18] - 5*d[19] + 
       9*d[20] - 4*d[21] - d[22] - (25*d[23])/2 + (105*d[24])/4 + 
       (3*d[28])/2 + 6*d[30] - 6*d[33] + 4*d[34])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - u] + ((4*d[2])/3 + (13*d[4])/3 - (41*d[6])/6 + 
       (13*d[10])/6 + (13*d[11])/6 - (29*d[12])/2 - d[14]/3 - (23*d[15])/3 - 
       (17*d[16])/3 + (50*d[17])/3 - (182*d[18])/3 + (37*d[19])/6 + d[20] + 
       (47*d[21])/3 + (79*d[22])/6 + (7*d[23])/6 - (32*d[24])/3 + d[25]/2 - 
       (8*d[26])/3)*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v] + 
     (-2*d[3] + d[4] + (21*d[5])/2 + (33*d[7])/2 - 24*d[8] + 20*d[9] - 
       (55*d[10])/2 - 7*d[11] - 7*d[12] - (5*d[13])/2 - d[14] - (3*d[15])/2 + 
       41*d[16] - (11*d[19])/2 - d[20] - 4*d[21] + (3*d[22])/2 + 9*d[23] + 
       (157*d[24])/2 + d[25] - (5*d[27])/2 - 7*d[33] + 7*d[34] - d[35] + 
       6*d[36])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v] + 
     (-2*d[2] - 2*d[3] - 2*d[4] + d[6] + d[10] + 2*d[11] + 3*d[12] - 
       (7*d[14])/2 - (41*d[15])/4 - 3*d[16] + d[17]/4 - (23*d[18])/4 + 
       (25*d[19])/2 + (17*d[20])/4 + (37*d[21])/2 + (17*d[22])/2 + 
       (21*d[23])/2 + (73*d[24])/4 + (5*d[25])/4 - d[26] + 2*d[31] + d[32] - 
       2*d[34])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v] + 
     ((3*d[5])/2 - 14*d[6] + d[7]/2 - 2*d[8] + 2*d[9] - d[10]/2 + 4*d[11] - 
       (23*d[12])/2 + d[13]/2 + (3*d[14])/2 - 10*d[15] - d[16]/2 + 16*d[17] - 
       59*d[18] + 8*d[19] + d[20] + (39*d[21])/2 + 9*d[22] + 5*d[23] + 
       (3*d[24])/2 - (7*d[26])/2 - d[27]/2 + d[32] - d[33] - d[34] + d[35] - 
       6*d[36])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w] + 
     (2*d[3] - 2*d[4] + (23*d[5])/2 + d[6]/2 + 28*d[7] - (21*d[8])/2 + 
       6*d[9] - 28*d[10] + (9*d[11])/2 - d[12]/2 - (5*d[13])/2 - d[14] - 
       (3*d[15])/2 + 41*d[16] - (11*d[19])/2 - d[20] - 4*d[21] + 
       (3*d[22])/2 + 13*d[23] + (139*d[24])/2 - d[26]/2 - (7*d[27])/2 - 
       7*d[33] + 7*d[34] + d[35] - 6*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - w] + (2*d[2] - d[5] - d[13] - 5*d[14] + 
       5*d[20] - (13*d[23])/2 + 12*d[24])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - w] + (12*d[4] - (35*d[6])/2 + 4*d[10] + 
       4*d[11] + d[12] - 7*d[15] - 8*d[16] + 30*d[17] - 111*d[18] + 5*d[19] - 
       (23*d[20])/2 + 25*d[21] + 17*d[22] - (27*d[23])/2 - (173*d[24])/4 - 
       4*d[26])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     (3*d[2] + 8*d[3] - 26*d[4] + 16*d[5] + 24*d[6] + (89*d[7])/2 - 75*d[8] + 
       (67*d[9])/2 - 70*d[10] + 20*d[11] - (135*d[12])/2 - 9*d[13] + 
       4*d[14] - 38*d[15] + 132*d[16] - 11*d[17] + 11*d[18] - d[19] + 
       (41*d[20])/2 + 83*d[21] + 10*d[22] + (137*d[23])/2 + (349*d[24])/2 - 
       9*d[26] + (11*d[27])/2 - d[28] - d[29]/2 - 4*d[30] + 2*d[31] + d[32] - 
       9*d[33] + 7*d[34] + 3*d[35] - 30*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - u] + (6*d[2] + 24*d[3] - 12*d[4] - 
       (63*d[5])/2 - 27*d[6] + (45*d[7])/2 - 24*d[8] + 3*d[9] - 36*d[10] - 
       (57*d[11])/2 - (61*d[12])/2 + 12*d[13] - 33*d[14] + (3*d[15])/2 + 
       (141*d[16])/2 - 72*d[17] + 24*d[18] - (39*d[19])/2 + (103*d[20])/2 - 
       36*d[21] - (57*d[22])/2 + (73*d[23])/2 + 49*d[24] + 3*d[25] + 
       (21*d[26])/2 - (21*d[27])/2 - 12*d[31] - 6*d[32] + 9*d[33] + 3*d[34] - 
       36*d[36])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     (-d[1] + 15*d[3] - 30*d[4] + 37*d[5] - 10*d[6] - (21*d[7])/2 - 
       (115*d[8])/2 + (117*d[9])/2 - 55*d[10] + (139*d[11])/2 - 24*d[12] - 
       27*d[13] + 2*d[14] - (65*d[15])/2 + (97*d[16])/2 + (23*d[17])/2 - 
       (203*d[18])/2 + 7*d[19] + 8*d[20] + 84*d[21] + 28*d[22] + 29*d[23] + 
       (607*d[24])/4 - (25*d[26])/2 + 9*d[27] - 2*d[28] - 2*d[29] - 7*d[31] - 
       (7*d[32])/2 - 16*d[33] + 23*d[34] + 3*d[35] - 30*d[36])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     (12*d[5] + 27*d[7] - 31*d[8] + 23*d[9] - 24*d[10] + 14*d[11] - 
       (13*d[12])/2 - 39*d[13] - 12*d[14] + 48*d[16] - 8*d[19] - 
       (11*d[20])/2 - 8*d[21] + (37*d[23])/2 + 160*d[24] - 4*d[27] - 
       3*d[28] - 8*d[33] + 8*d[34])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 
       1 - v] + (9*d[2] + 24*d[3] - 24*d[4] - (57*d[5])/2 + (219*d[7])/4 + 
       (75*d[8])/4 - (57*d[9])/4 + (81*d[10])/2 - (69*d[11])/2 - 
       (43*d[12])/2 + 54*d[13] + 6*d[14] + (21*d[15])/2 - 57*d[16] - 
       9*d[17] - 15*d[18] - (15*d[19])/2 + (95*d[20])/4 + 12*d[21] - 
       (75*d[22])/2 - (17*d[23])/2 + (119*d[24])/2 - 6*d[27] + 9*d[28] - 
       24*d[30] - 12*d[31] - 6*d[32] + 27*d[33] - 15*d[34] - 36*d[36])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     ((-65*d[6])/2 + 4*d[10] + 4*d[11] - 20*d[12] - 7*d[15] - 8*d[16] + 
       39*d[17] - 120*d[18] + 7*d[19] - (35*d[20])/2 + 19*d[21] + 7*d[22] + 
       (15*d[23])/2 - (173*d[24])/4 + 3*d[25] - 4*d[26])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - w] + (42*d[5] + 46*d[7] - 4*d[8] - 4*d[9] - 
       12*d[10] + 14*d[11] - (13*d[12])/2 + 33*d[13] - 12*d[14] + 48*d[16] - 
       8*d[19] - (11*d[20])/2 - 8*d[21] + (37*d[23])/2 + 46*d[24] - 4*d[27] + 
       3*d[28] - 8*d[33] + 8*d[34])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 
       1 - w] + (-6*d[2] + 19*d[12] - 6*d[14] - (71*d[20])/2 - (59*d[23])/2 + 
       43*d[24])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w] + 
     (4*d[4] - (77*d[6])/12 + (2*d[10])/3 + (2*d[11])/3 + (13*d[12])/6 - 
       (5*d[15])/3 - (4*d[16])/3 + 6*d[17] - 29*d[18] - d[19]/3 - 
       (53*d[20])/12 + (17*d[21])/3 + (11*d[22])/3 - (23*d[23])/4 - 
       (239*d[24])/24 - (2*d[26])/3)*HPL[{1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - u] + (d[2] + (8*d[3])/3 - (26*d[4])/3 + 
       (10*d[5])/3 + 8*d[6] + 14*d[7] - (109*d[8])/6 + 6*d[9] - 22*d[10] + 
       (13*d[11])/3 - (275*d[12])/12 - (5*d[13])/2 + (4*d[14])/3 - 
       (38*d[15])/3 + 36*d[16] - (11*d[17])/3 + (11*d[18])/3 + d[19] + 
       (29*d[20])/4 + 29*d[21] + (10*d[22])/3 + (89*d[23])/4 + 
       (128*d[24])/3 - 3*d[26] + (5*d[27])/2 - d[28]/3 - d[29]/6 - 
       (4*d[30])/3 + (2*d[31])/3 + d[32]/3 - (5*d[33])/3 + d[34] + d[35] - 
       10*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     ((5*d[2])/3 + 8*d[3] - 4*d[4] - (21*d[5])/2 - 9*d[6] + (15*d[7])/2 - 
       8*d[8] + d[9] - 12*d[10] - (19*d[11])/2 - (53*d[12])/6 + 4*d[13] - 
       10*d[14] + d[15]/2 + (47*d[16])/2 - 24*d[17] + 8*d[18] - 
       (13*d[19])/2 + (199*d[20])/12 - 12*d[21] - (19*d[22])/2 + 
       (145*d[23])/12 + (97*d[24])/6 + d[25] + (7*d[26])/2 - (7*d[27])/2 - 
       4*d[31] - 2*d[32] + 3*d[33] + d[34] - 12*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - u] + (-d[1]/3 + 5*d[3] - 10*d[4] + 
       (37*d[5])/3 - (55*d[6])/12 - (7*d[7])/2 - (115*d[8])/6 + (39*d[9])/2 - 
       19*d[10] + (45*d[11])/2 - (26*d[12])/3 - 9*d[13] + (2*d[14])/3 - 
       (34*d[15])/3 + (35*d[16])/2 - (5*d[17])/6 - (155*d[18])/6 + 
       (17*d[19])/6 + (25*d[20])/12 + (53*d[21])/2 + (59*d[22])/6 + 
       (41*d[23])/4 + (1297*d[24])/24 - (7*d[26])/2 + 3*d[27] - (2*d[28])/3 - 
       (2*d[29])/3 - (7*d[31])/3 - (7*d[32])/6 - (16*d[33])/3 + 
       (23*d[34])/3 + d[35] - 10*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + (2*d[5] + (15*d[7])/2 - (25*d[8])/6 + 
       (17*d[9])/6 - (11*d[10])/2 + (7*d[11])/3 - (19*d[12])/12 - 
       (25*d[13])/2 - 4*d[14] + 8*d[16] - (4*d[19])/3 - (17*d[20])/12 - 
       (4*d[21])/3 + (55*d[23])/12 + (119*d[24])/3 - (2*d[27])/3 - d[28] - 
       (4*d[33])/3 + (4*d[34])/3)*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 
       1 - v] + ((8*d[2])/3 + 8*d[3] - 8*d[4] - (19*d[5])/2 + (73*d[7])/4 + 
       (25*d[8])/4 - (19*d[9])/4 + (27*d[10])/2 - (23*d[11])/2 - 
       (16*d[12])/3 + 18*d[13] + 3*d[14] + (7*d[15])/2 - 19*d[16] - 3*d[17] - 
       5*d[18] - (5*d[19])/2 + (22*d[20])/3 + 4*d[21] - (25*d[22])/2 - 
       (41*d[23])/12 + (115*d[24])/6 - 2*d[27] + 3*d[28] - 8*d[30] - 
       4*d[31] - 2*d[32] + 9*d[33] - 5*d[34] - 12*d[36])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + ((-131*d[6])/12 + (2*d[10])/3 + 
       (2*d[11])/3 - (16*d[12])/3 - (13*d[15])/6 - (4*d[16])/3 + 9*d[17] - 
       32*d[18] + (13*d[19])/6 - (77*d[20])/12 + (25*d[21])/6 + 
       (13*d[22])/6 + (7*d[23])/4 - (239*d[24])/24 + d[25] - (2*d[26])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w] + 
     (12*d[5] + (25*d[7])/2 + (29*d[8])/6 - (37*d[9])/6 - 2*d[10] + 
       (7*d[11])/3 - (19*d[12])/12 + (23*d[13])/2 - 4*d[14] + 8*d[16] - 
       (4*d[19])/3 - (17*d[20])/12 - (4*d[21])/3 + (55*d[23])/12 + 
       (2*d[24])/3 - (2*d[27])/3 + d[28] - (4*d[33])/3 + (4*d[34])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w] + 
     ((-7*d[2])/3 + (37*d[12])/6 - d[14] - (149*d[20])/12 - (101*d[23])/12 + 
       (73*d[24])/6)*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w] + 
     (4*d[4] + d[5] + 26*d[6] - d[7]/3 - d[8]/3 + d[9]/3 - (8*d[10])/3 + 
       (2*d[11])/3 + (43*d[12])/3 - (8*d[15])/3 - (386*d[17])/3 + 
       (412*d[18])/3 + d[19]/3 + (10*d[20])/3 - (118*d[21])/3 + 
       (56*d[22])/3 - 13*d[23] - 62*d[24])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - u] + (-16*d[3] + 12*d[6] - 16*d[10] + 
       4*d[11] + 3*d[12] - 8*d[15] - 88*d[17] + 88*d[18] + 8*d[19] + 
       27*d[20] - 24*d[21] + 24*d[22] - 9*d[23] - 74*d[24])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - u] + (d[6]/3 - (76*d[7])/3 - 28*d[8] + 
       28*d[9] + 30*d[10] - (109*d[11])/3 - (115*d[12])/3 - 4*d[14] - 
       (4*d[15])/3 + (4*d[17])/3 - (20*d[18])/3 + (4*d[19])/3 + 
       (134*d[20])/3 + (4*d[21])/3 + (4*d[22])/3 + (45*d[23])/2 - 
       (31*d[24])/3)*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v] + 
     (-10*d[7] - 18*d[8] + 18*d[9] + 24*d[10] - 20*d[11] - 25*d[12] - 
       26*d[14] - 12*d[17] + d[20] + 12*d[23] - 18*d[24])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - v] + (-4*d[1] - 4*d[2])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1}, 1 - w] + 8*d[5]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u] - 
     4*d[1]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v] + 
     (-2*d[2] + 6*d[5] - 4*d[7] - 4*d[8] - 20*d[9] - 8*d[10] - 12*d[11])*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - u] + (2*d[4] + 4*d[6] - 12*d[12] + 
       6*d[14] + 4*d[15] + 16*d[17] - 40*d[18] - 6*d[19] - 6*d[20] + 
       8*d[21] - 4*d[22] - 2*d[23] + 12*d[24] + 3*d[25])*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - v] + ((-3*d[2])/2 + 2*d[5] - 2*d[7] - 
       2*d[8] - 6*d[9] - (5*d[10])/2 - 6*d[11])*HPL[{0, 0, 0, 1, 0, 1}, 
       1 - u] + ((3*d[4])/2 + (3*d[6])/2 - 5*d[12] + (3*d[14])/2 + 
       (3*d[15])/2 + 6*d[17] - 17*d[18] - (7*d[19])/2 - (3*d[20])/2 + 
       3*d[21] - 2*d[22] - (3*d[23])/2 + 6*d[24] + d[25])*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - v] + (6*d[2] - 36*d[3] + 24*d[4] + 
       48*d[5] - 12*d[6] - 24*d[7] + 18*d[8] - 9*d[9] + 12*d[10] - 24*d[11] - 
       48*d[12] - 24*d[13] + 24*d[14] - 30*d[15] - 96*d[16] - 21*d[17] + 
       69*d[18] + 48*d[19] + 6*d[20] + 60*d[21] + 48*d[22] - 48*d[23] - 
       216*d[24] - 6*d[26] + 6*d[27] + 24*d[31] + 12*d[32] - 24*d[34] + 
       36*d[36])*HPL[{0, 0, 0, 1, 1, 1}, 1 - u] + 
     (-6*d[3] - 6*d[4] + 60*d[5] - 6*d[6] + 3*d[7] + 27*d[8] - 27*d[9] + 
       3*d[10] + 78*d[11] + 51*d[12] - 48*d[13] - 6*d[14] + 12*d[15] - 
       9*d[16] - 21*d[17] - 15*d[18] + 6*d[19] - (57*d[20])/2 - 24*d[21] + 
       24*d[22] + 33*d[23] - (69*d[24])/2 - 6*d[25] + 6*d[27] - 6*d[28] - 
       3*d[29] - 12*d[30] - 6*d[31] - 6*d[32] - 30*d[33] + 36*d[34] + 
       36*d[36])*HPL[{0, 0, 0, 1, 1, 1}, 1 - v] + 
     (3*d[2] - 18*d[3] + 12*d[4] + 24*d[5] - 6*d[6] - 9*d[7] + 12*d[8] - 
       7*d[9] + 2*d[10] - (13*d[11])/2 - 19*d[12] - 12*d[13] + 12*d[14] - 
       15*d[15] - 48*d[16] - (21*d[17])/2 + (69*d[18])/2 + 24*d[19] + 
       3*d[20] + 30*d[21] + 24*d[22] - 24*d[23] - 108*d[24] - 3*d[26] + 
       3*d[27] + 12*d[31] + 6*d[32] - 12*d[34] + 18*d[36])*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - u] + (-3*d[3] - 3*d[4] + 30*d[5] - 5*d[6] + 
       (3*d[7])/2 + (27*d[8])/2 - (27*d[9])/2 + (3*d[10])/2 + 39*d[11] + 
       24*d[12] - 19*d[13] - 3*d[14] + 2*d[15] + d[16]/2 - (31*d[17])/2 - 
       d[18] + 7*d[19] - (41*d[20])/4 - 8*d[21] + 16*d[22] + (35*d[23])/2 - 
       (91*d[24])/4 - 3*d[25] + 3*d[27] - (5*d[28])/2 - d[29] - 6*d[30] - 
       3*d[31] - 3*d[32] - 15*d[33] + 18*d[34] + 18*d[36])*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - v] + (d[2] - 6*d[3] + 4*d[4] + 8*d[5] - 
       2*d[6] - 3*d[7] + 4*d[8] - (5*d[9])/2 + 3*d[11] - 3*d[12] - 4*d[13] + 
       4*d[14] - 5*d[15] - 16*d[16] - (7*d[17])/2 + (23*d[18])/2 + 8*d[19] + 
       d[20] + 10*d[21] + 8*d[22] - 8*d[23] - 36*d[24] - d[26] + d[27] + 
       4*d[31] + 2*d[32] - 4*d[34] + 6*d[36])*HPL[{0, 0, 1, 1, 0, 1}, 
       1 - u] + (-d[3] - d[4] + 10*d[5] - d[6] + d[7]/2 + (9*d[8])/2 - 
       (9*d[9])/2 + d[10]/2 + 13*d[11] + (15*d[12])/2 - 3*d[13] - d[14] + 
       (7*d[16])/2 - (13*d[17])/2 + 4*d[18] + 3*d[19] - (3*d[20])/4 - 
       2*d[21] + 6*d[22] + (13*d[23])/2 - (51*d[24])/4 - d[25] + d[27] - 
       d[28]/2 - 2*d[30] - d[31] - d[32] - 5*d[33] + 6*d[34] + 6*d[36])*
      HPL[{0, 0, 1, 1, 0, 1}, 1 - v] + (-56*d[3] + 26*d[4] + 58*d[5] - 
       39*d[6] - 39*d[7] + 42*d[8] + 3*d[9] + 63*d[10] + 33*d[11] + 
       26*d[12] - 48*d[13] + 18*d[14] - 25*d[15] - 84*d[16] - 35*d[17] + 
       51*d[18] + 61*d[19] - 69*d[20] + 14*d[21] + 73*d[22] - 24*d[23] - 
       105*d[24] - 3*d[26] + 9*d[27] + 24*d[31] + 12*d[32] - 24*d[33] + 
       72*d[36])*HPL[{0, 0, 1, 1, 1, 1}, 1 - u] + 
     (-48*d[3] + 30*d[4] + 51*d[5] + 6*d[6] + 3*d[7] + 12*d[8] + 22*d[10] - 
       38*d[11] - 20*d[12] + 24*d[13] + 6*d[14] - 15*d[15] - 33*d[16] + 
       21*d[17] - 51*d[18] + 42*d[19] + 57*d[20] + 12*d[21] + 54*d[22] + 
       2*d[23] - 142*d[24] + 15*d[27] + 24*d[31] + 12*d[32] - 30*d[33] + 
       6*d[34] + 72*d[36])*HPL[{0, 0, 1, 1, 1, 1}, 1 - v] + 
     (-14*d[3] + (15*d[4])/2 + (29*d[5])/2 - (39*d[6])/4 - (39*d[7])/4 + 
       (21*d[8])/2 + (3*d[9])/4 + (63*d[10])/4 + (33*d[11])/4 + 
       (13*d[12])/2 - 12*d[13] + (9*d[14])/2 - (25*d[15])/4 - 21*d[16] - 
       (35*d[17])/4 + (51*d[18])/4 + (61*d[19])/4 - (69*d[20])/4 + 
       (7*d[21])/2 + (73*d[22])/4 - 6*d[23] - (105*d[24])/4 - (3*d[26])/4 + 
       (9*d[27])/4 + 6*d[31] + 3*d[32] - 6*d[33] + 18*d[36])*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - u] + (-12*d[3] + (15*d[4])/2 + 
       (51*d[5])/4 + (3*d[6])/2 + (3*d[7])/4 + 3*d[8] + (11*d[10])/2 - 
       (19*d[11])/2 - 5*d[12] + 6*d[13] + (3*d[14])/2 - (15*d[15])/4 - 
       (33*d[16])/4 + (21*d[17])/4 - (51*d[18])/4 + (21*d[19])/2 + 
       (57*d[20])/4 + 3*d[21] + (27*d[22])/2 + d[23]/2 - (71*d[24])/2 + 
       (15*d[27])/4 + 6*d[31] + 3*d[32] - (15*d[33])/2 + (3*d[34])/2 + 
       18*d[36])*HPL[{0, 1, 0, 1, 1, 1}, 1 - v] + 
     ((5*d[3])/2 - (5*d[6])/2 + 10*d[12] - 5*d[15] - 65*d[17] + 75*d[18] + 
       5*d[19] - 15*d[21] + 15*d[22] - 20*d[24])*HPL[{0, 1, 1, 1, 1, 1}, 
       1 - u] + ((5*d[7])/2 + (5*d[8])/2 - (5*d[9])/2 + 15*d[10] - 25*d[11] - 
       25*d[12] - (95*d[14])/2 + (15*d[20])/2 + (5*d[23])/2 - 25*d[24])*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - v] + ((-3*d[5])/2 + (13*d[6])/12 - d[7]/2 + 
       2*d[8] - 2*d[9] + (11*d[10])/3 - (5*d[11])/6 + (7*d[12])/6 + 
       (5*d[15])/6 - (13*d[16])/3 + 2*d[18] + d[19]/6 + d[20]/12 - 
       (5*d[21])/6 - (5*d[22])/6 - (3*d[23])/4 - (71*d[24])/24 + d[26]/3 + 
       d[27]/2 + d[33] - d[34])*HPL[{1}, 1 - u]*M1[u, v, w] + 
     (d[5]/2 - (3*d[7])/2 - (2*d[8])/3 + d[9]/3 - d[10] - d[11]/6 - 
       d[12]/12 - d[13]/2 + 2*d[14] + 2*d[16] - d[19]/3 - (5*d[20])/12 - 
       d[21]/3 - (5*d[23])/12 + d[24]/6 - d[27]/6 - d[33]/3 + d[34]/3)*
      HPL[{1}, 1 - v]*M1[u, v, w] + (-d[2]/3 + d[5] + d[12]/6 + d[13] - 
       d[14] + (7*d[20])/12 + d[23]/12 - (17*d[24])/6)*HPL[{1}, 1 - w]*
      M1[u, v, w] + ((3*d[5])/2 + (2*d[6])/3 + d[7]/2 - 2*d[8] + 2*d[9] - 
       (11*d[10])/3 + (5*d[11])/6 + d[12]/3 - d[15]/3 + (13*d[16])/3 - 
       (2*d[19])/3 - d[20]/3 + d[21]/3 + d[22]/3 + (13*d[24])/3 - d[26]/3 - 
       d[27]/2 - d[33] + d[34])*HPL[{1}, 1 - u]*M1[v, u, w] + 
     (-d[5]/2 - d[7]/2 + (2*d[8])/3 - d[9]/3 + d[10] + d[11]/6 + d[12]/3 - 
       d[14] - 2*d[16] + d[19]/3 + (2*d[20])/3 + d[21]/3 - d[23]/3 - 
       (5*d[24])/3 + d[27]/6 + d[33]/3 - d[34]/3)*HPL[{1}, 1 - v]*
      M1[v, u, w] + (d[2] - d[5] - (5*d[12])/3 - d[13] + d[14] + 
       (8*d[20])/3 + (5*d[23])/3 + d[24]/3)*HPL[{1}, 1 - w]*M1[v, u, w] + 
     ((-3*d[5])/2 + (11*d[6])/12 - d[7]/2 + 2*d[8] - 2*d[9] + (23*d[10])/6 - 
       (2*d[11])/3 + (5*d[12])/6 + (2*d[15])/3 - (14*d[16])/3 + 2*d[18] + 
       d[19]/3 + (5*d[20])/12 - d[21]/6 - (2*d[22])/3 - (3*d[23])/4 - 
       (67*d[24])/24 + d[26]/6 + d[27]/2 + d[33] - d[34])*HPL[{1}, 1 - u]*
      M1[v, w, u] + (-d[5]/2 - d[6]/2 - (3*d[7])/2 + (2*d[8])/3 - d[9]/3 + 
       d[10]/2 - d[11]/3 + (19*d[12])/12 + d[13]/2 + d[14] + (3*d[15])/2 - 
       d[16] - (7*d[19])/6 - (13*d[20])/12 - (8*d[21])/3 - (3*d[22])/2 - 
       (37*d[23])/12 - (11*d[24])/3 + d[26]/2 + d[27]/6 + d[33]/3 - d[34]/3)*
      HPL[{1}, 1 - v]*M1[v, w, u] + (-d[2]/3 + d[5] + (5*d[12])/6 + d[13] - 
       (25*d[20])/12 - (7*d[23])/12 - (7*d[24])/6)*HPL[{1}, 1 - w]*
      M1[v, w, u] + (d[4] - 2*d[5] + d[6]/4 + (5*d[8])/2 - 2*d[9] + 4*d[10] - 
       (5*d[11])/2 + d[12]/2 + (3*d[15])/2 - 3*d[16] + 2*d[18] - d[19]/2 - 
       d[20]/4 - (7*d[21])/2 - (3*d[22])/2 - (3*d[23])/4 - (29*d[24])/8 + 
       d[26]/2 - d[27]/2 + d[33] - d[34])*HPL[{1}, 1 - u]*M1[w, u, v] + 
     (-d[7] - d[10] + d[12]/4 + d[13]/2 + d[14] + d[20]/4 - (3*d[23])/4 - 
       (3*d[24])/2)*HPL[{1}, 1 - v]*M1[w, u, v] + 
     (-d[2]/3 + d[5] - (3*d[7])/2 + (5*d[8])/2 - (5*d[9])/2 + d[11] + 
       (3*d[12])/2 + d[13] - (13*d[20])/4 - (5*d[23])/4 - (21*d[24])/2)*
      HPL[{1}, 1 - w]*M1[w, u, v] + (-d[4] + (3*d[5])/2 - d[6]/6 + d[7]/2 - 
       2*d[8] + 2*d[9] - (23*d[10])/6 + (2*d[11])/3 - (10*d[12])/3 - 
       (7*d[15])/6 + (14*d[16])/3 + d[19]/6 + d[20]/3 + (5*d[21])/3 + 
       d[22]/6 + 2*d[23] + (25*d[24])/6 - d[26]/6 - d[27]/2 - d[33] + d[34])*
      HPL[{1}, 1 - u]*M1[w, v, u] + (d[4] - (3*d[5])/2 + d[7]/2 + 
       (11*d[8])/6 - (2*d[9])/3 + (3*d[10])/2 - (13*d[11])/6 + (5*d[12])/3 - 
       d[14] + (3*d[15])/2 - 3*d[16] - (5*d[19])/6 - (2*d[20])/3 - 
       (7*d[21])/3 - (3*d[22])/2 - (8*d[23])/3 - (17*d[24])/6 - (2*d[27])/3 + 
       (2*d[33])/3 - (2*d[34])/3)*HPL[{1}, 1 - v]*M1[w, v, u] + 
     (-d[5] + (14*d[12])/3 - d[13] + d[14] + 3*d[17] + (4*d[20])/3 - 
       (8*d[23])/3 + (5*d[24])/3)*HPL[{1}, 1 - w]*M1[w, v, u] + 
     (-d[6]/6 + d[10]/6 + d[11]/6 - (7*d[12])/12 - (2*d[15])/3 - d[16]/3 + 
       d[17] - 3*d[18] + (2*d[19])/3 + d[20]/3 + (7*d[21])/6 + (2*d[22])/3 - 
       (17*d[24])/24 - d[26]/6)*HPL[{1}, 1 - u]*Nt[u, v, w] + 
     (d[5]/2 + (3*d[7])/4 - (17*d[8])/12 + (13*d[9])/12 - d[10] + d[11]/3 + 
       d[12]/6 + 2*d[16] - d[19]/3 - (5*d[20])/12 - d[21]/3 + d[23]/12 + 
       (14*d[24])/3 - d[27]/6 - d[33]/3 + d[34]/3)*HPL[{1}, 1 - v]*
      Nt[u, v, w] + (-d[12]/3 + (7*d[20])/12 - d[23]/6 + d[24]/6)*
      HPL[{1}, 1 - w]*Nt[u, v, w] + (3*d[5] + d[6]/3 + d[7] - 4*d[8] + 
       4*d[9] - (25*d[10])/3 + (2*d[11])/3 + (7*d[12])/6 + (4*d[15])/3 + 
       (32*d[16])/3 - 2*d[17] + 6*d[18] - (10*d[19])/3 - (2*d[20])/3 - 
       (13*d[21])/3 - (4*d[22])/3 + (113*d[24])/12 + d[26]/3 - d[27] - 
       2*d[33] + 2*d[34])*HPL[{1}, 1 - u]^2*Omega2[u, v, w] + 
     (-4*d[5] + (13*d[6])/6 - (5*d[7])/2 + (41*d[8])/6 - (37*d[9])/6 + 
       (31*d[10])/3 - (7*d[11])/3 + (5*d[12])/2 - 2*d[14] + (11*d[15])/3 - 
       (38*d[16])/3 - 2*d[17] + 10*d[18] - d[19] + d[20] - 3*d[21] - 
       (11*d[22])/3 - (5*d[23])/3 - (27*d[24])/2 + (2*d[26])/3 + 
       (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*Omega2[u, v, w] + (-2*d[5] - (9*d[7])/2 + (25*d[8])/6 - 
       (17*d[9])/6 + 4*d[10] - d[11]/3 + (5*d[12])/6 + (3*d[13])/2 + 
       (3*d[14])/2 - 8*d[16] + (4*d[19])/3 - (4*d[20])/3 + (4*d[21])/3 - 
       (17*d[23])/6 - (97*d[24])/6 + (2*d[27])/3 + (4*d[33])/3 - (4*d[34])/3)*
      HPL[{1}, 1 - v]^2*Omega2[u, v, w] + 
     (-d[2]/3 - 2*d[5] - d[6]/3 + d[10]/3 + d[11]/3 - d[12]/2 - 2*d[13] + 
       2*d[14] - (4*d[15])/3 - (2*d[16])/3 + 2*d[17] - 6*d[18] + 
       (4*d[19])/3 - d[20]/2 + (7*d[21])/3 + (4*d[22])/3 + d[23]/3 + 
       (5*d[24])/4 - d[26]/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Omega2[u, v, w] + ((-2*d[2])/3 + 3*d[5] + (3*d[7])/2 - (17*d[8])/6 + 
       (13*d[9])/6 - 2*d[10] + (2*d[11])/3 + (8*d[12])/3 + 2*d[13] + d[14] + 
       4*d[16] - (2*d[19])/3 - (37*d[20])/6 - (2*d[21])/3 - (2*d[23])/3 + 
       (20*d[24])/3 - d[27]/3 - (2*d[33])/3 + (2*d[34])/3)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Omega2[u, v, w] + ((-2*d[12])/3 + (7*d[20])/6 - 
       d[23]/3 + d[24]/3)*HPL[{1}, 1 - w]^2*Omega2[u, v, w] + 
     (-d[6]/3 + d[10]/3 + d[11]/3 - (7*d[12])/6 - (4*d[15])/3 - (2*d[16])/3 + 
       2*d[17] - 6*d[18] + (4*d[19])/3 + (2*d[20])/3 + (7*d[21])/3 + 
       (4*d[22])/3 - (17*d[24])/12 - d[26]/3)*HPL[{1}, 1 - u]^2*
      Omega2[v, w, u] + (4*d[5] + (5*d[6])/3 + (5*d[7])/2 - (41*d[8])/6 + 
       (37*d[9])/6 - (26*d[10])/3 + 2*d[11] + (13*d[12])/6 - d[15]/3 + 
       (40*d[16])/3 - 2*d[17] + 6*d[18] - (7*d[19])/3 - (13*d[20])/6 - 
       (4*d[21])/3 + d[22]/3 + d[23]/6 + (221*d[24])/12 - d[26]/3 - 
       (4*d[27])/3 - (8*d[33])/3 + (8*d[34])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*Omega2[v, w, u] + (-2*d[5] - (5*d[7])/2 + (25*d[8])/6 - 
       (17*d[9])/6 + 4*d[10] - d[11]/3 + d[12]/3 - d[13]/2 - (3*d[14])/2 - 
       8*d[16] + (4*d[19])/3 + d[20]/6 + (4*d[21])/3 - d[23]/3 - 
       (73*d[24])/6 + (2*d[27])/3 + (4*d[33])/3 - (4*d[34])/3)*
      HPL[{1}, 1 - v]^2*Omega2[v, w, u] + 
     (d[2]/3 - 3*d[5] + (5*d[6])/6 - d[7] + 4*d[8] - 4*d[9] + (20*d[10])/3 - 
       (7*d[11])/3 + (3*d[12])/2 + (10*d[15])/3 - (22*d[16])/3 - 2*d[17] + 
       10*d[18] - (4*d[19])/3 + 2*d[20] - (16*d[21])/3 - (10*d[22])/3 - 
       (11*d[23])/6 - (7*d[24])/2 + (4*d[26])/3 + d[27] + 2*d[33] - 2*d[34])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[v, w, u] + 
     (-3*d[5] - (7*d[7])/2 + (17*d[8])/6 - (13*d[9])/6 + 2*d[10] - 
       (2*d[11])/3 - (5*d[12])/2 - d[13] + 3*d[14] - 4*d[16] + (2*d[19])/3 + 
       (7*d[20])/2 + (2*d[21])/3 + 2*d[23] - 12*d[24] + d[27]/3 + 
       (2*d[33])/3 - (2*d[34])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Omega2[v, w, u] + ((-2*d[2])/3 + 2*d[5] + (17*d[12])/3 + 2*d[13] - 
       (32*d[20])/3 - (25*d[23])/6 - (4*d[24])/3)*HPL[{1}, 1 - w]^2*
      Omega2[v, w, u] + (-3*d[5] + (5*d[6])/2 - d[7] + 4*d[8] - 4*d[9] + 
       7*d[10] - 2*d[11] + (7*d[12])/2 + 3*d[15] - 8*d[16] - 2*d[17] + 
       10*d[18] - d[19] - d[20]/2 - 4*d[21] - 3*d[22] - (3*d[23])/2 - 
       (9*d[24])/2 + d[26] + d[27] + 2*d[33] - 2*d[34])*HPL[{1}, 1 - u]^2*
      Omega2[w, u, v] + (-d[6]/3 - (9*d[7])/2 + (3*d[8])/2 - (3*d[9])/2 - 
       (2*d[10])/3 - (2*d[11])/3 - (5*d[12])/3 + d[13] + 2*d[14] - d[15]/3 - 
       (2*d[16])/3 + 2*d[17] - 6*d[18] + d[19]/3 + (2*d[20])/3 + 
       (4*d[21])/3 + d[22]/3 - d[23] - (149*d[24])/12 - d[26]/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[w, u, v] + 
     (d[5] + (3*d[7])/2 - (17*d[8])/6 + (13*d[9])/6 - 2*d[10] + (2*d[11])/3 + 
       d[12]/3 - d[13]/2 + d[14]/2 + 4*d[16] - (2*d[19])/3 - (5*d[20])/6 - 
       (2*d[21])/3 - d[23]/3 + (59*d[24])/6 - d[27]/3 - (2*d[33])/3 + 
       (2*d[34])/3)*HPL[{1}, 1 - v]^2*Omega2[w, u, v] + 
     (-d[2]/3 + 5*d[5] + d[7] - 4*d[8] + 4*d[9] - 8*d[10] + d[11] + 
       (3*d[12])/2 + 2*d[13] + d[15] + 10*d[16] - 2*d[17] + 6*d[18] - 
       3*d[19] - 3*d[21] - d[22] + d[23]/2 + (11*d[24])/4 - d[27] - 2*d[33] + 
       2*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[w, u, v] + 
     (-3*d[5] - (3*d[7])/2 + (11*d[8])/2 - (7*d[9])/2 + 6*d[10] + d[12]/3 - 
       3*d[14] - 12*d[16] + 2*d[19] + (2*d[20])/3 + 2*d[21] - (11*d[23])/6 - 
       (41*d[24])/3 + d[27] + 2*d[33] - 2*d[34])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Omega2[w, u, v] + (-2*d[5] + 2*d[12] - 2*d[13] + 
       2*d[14] - (13*d[20])/2 - d[23] + 5*d[24])*HPL[{1}, 1 - w]^2*
      Omega2[w, u, v] + ((-17*d[6])/12 + (2*d[10])/3 + (2*d[11])/3 - 
       (4*d[12])/3 - (13*d[15])/6 - (4*d[16])/3 + 2*d[17] - 8*d[18] + 
       (13*d[19])/6 + (7*d[20])/12 + (25*d[21])/6 + (13*d[22])/6 + 
       (3*d[23])/4 - (59*d[24])/24 - (2*d[26])/3)*HPL[{1}, 1 - u]*
      Ot[u, v, w] + (2*d[5] + (7*d[7])/2 - (25*d[8])/6 + (17*d[9])/6 - 
       4*d[10] + d[11]/3 - (7*d[12])/12 - d[13]/2 + 8*d[16] - (4*d[19])/3 - 
       (5*d[20])/12 - (4*d[21])/3 + (19*d[23])/12 + (85*d[24])/6 - 
       (2*d[27])/3 - (4*d[33])/3 + (4*d[34])/3)*HPL[{1}, 1 - v]*Ot[u, v, w] + 
     (d[2]/3 + d[12]/6 - d[14] + (7*d[20])/12 - (17*d[23])/12 + (13*d[24])/6)*
      HPL[{1}, 1 - w]*Ot[u, v, w] + (32*d[5] + (232*d[6])/9 + (32*d[7])/3 - 
       (128*d[8])/3 + (128*d[9])/3 - (736*d[10])/9 + (128*d[11])/9 + 
       (248*d[12])/9 + (160*d[15])/9 + (896*d[16])/9 - (32*d[17])/3 + 
       (160*d[18])/3 - (352*d[19])/9 - (8*d[20])/9 - (256*d[21])/9 - 
       (160*d[22])/9 + 8*d[23] + (1136*d[24])/9 - (32*d[26])/9 - 
       (32*d[27])/3 - (64*d[33])/3 + (64*d[34])/3)*HPL[{1}, 1 - u]*
      Qep[u, v, w] + ((-64*d[5])/3 - (104*d[7])/3 + (328*d[8])/9 - 
       (200*d[9])/9 + (128*d[10])/3 + (16*d[11])/9 + (80*d[12])/9 - 
       (16*d[13])/3 - (64*d[14])/3 - (256*d[16])/3 + (128*d[19])/9 - 
       (56*d[20])/9 + (128*d[21])/9 - (128*d[23])/9 - (1024*d[24])/9 + 
       (64*d[27])/9 + (128*d[33])/9 - (128*d[34])/9)*HPL[{1}, 1 - v]*
      Qep[u, v, w] + ((-64*d[5])/3 - (208*d[12])/9 - (64*d[13])/3 + 
       (32*d[14])/3 - (56*d[20])/9 + (136*d[23])/9 - (16*d[24])/9)*
      HPL[{1}, 1 - w]*Qep[u, v, w] + (-32*d[5] + (80*d[6])/9 - (32*d[7])/3 + 
       (128*d[8])/3 - (128*d[9])/3 + (640*d[10])/9 - (224*d[11])/9 + 
       (232*d[12])/9 + (368*d[15])/9 - (704*d[16])/9 - (64*d[17])/3 + 
       (320*d[18])/3 - (176*d[19])/9 + (104*d[20])/9 - (560*d[21])/9 - 
       (368*d[22])/9 - 8*d[23] - (404*d[24])/9 + (128*d[26])/9 + 
       (32*d[27])/3 + (64*d[33])/3 - (64*d[34])/3)*HPL[{1}, 1 - u]*
      Qep[u, w, v] + ((-32*d[5])/3 - (112*d[7])/3 + (272*d[8])/9 - 
       (208*d[9])/9 + (64*d[10])/3 - (64*d[11])/9 + (40*d[12])/9 + 
       (16*d[13])/3 + (64*d[14])/3 - (128*d[16])/3 + (64*d[19])/9 - 
       (136*d[20])/9 + (64*d[21])/9 - (208*d[23])/9 - (1088*d[24])/9 + 
       (32*d[27])/9 + (64*d[33])/9 - (64*d[34])/9)*HPL[{1}, 1 - v]*
      Qep[u, w, v] + ((-32*d[2])/3 + (64*d[5])/3 + (544*d[12])/9 + 
       (64*d[13])/3 - (32*d[14])/3 - (1648*d[20])/9 - (688*d[23])/9 - 
       (224*d[24])/9)*HPL[{1}, 1 - w]*Qep[u, w, v] + 
     (-32*d[5] + (104*d[6])/3 - (32*d[7])/3 + (128*d[8])/3 - (128*d[9])/3 + 
       (224*d[10])/3 - (64*d[11])/3 + (128*d[12])/3 + (112*d[15])/3 - 
       (256*d[16])/3 - (32*d[17])/3 + 96*d[18] - 16*d[19] + (16*d[20])/3 - 
       48*d[21] - (112*d[22])/3 - 16*d[23] - 36*d[24] + (32*d[26])/3 + 
       (32*d[27])/3 + (64*d[33])/3 - (64*d[34])/3)*HPL[{1}, 1 - u]*
      Qep[v, u, w] + (-56*d[7] + 8*d[8] - 8*d[9] - (16*d[11])/3 - 
       (8*d[12])/3 + (32*d[13])/3 + (64*d[14])/3 - (32*d[23])/3 - 
       (320*d[24])/3)*HPL[{1}, 1 - v]*Qep[v, u, w] + 
     ((-32*d[2])/9 + (64*d[5])/3 + 16*d[12] + (64*d[13])/3 + (56*d[20])/3 + 
       (40*d[23])/3 - (176*d[24])/3)*HPL[{1}, 1 - w]*Qep[v, u, w] + 
     (32*d[5] + (32*d[7])/3 - (128*d[8])/3 + (128*d[9])/3 - (256*d[10])/3 + 
       (32*d[11])/3 + (8*d[12])/3 + (16*d[15])/3 + (320*d[16])/3 - 
       (64*d[17])/3 + 64*d[18] - (80*d[19])/3 - (8*d[20])/3 - (80*d[21])/3 - 
       (16*d[22])/3 - 8*d[23] + (292*d[24])/3 - (32*d[27])/3 - (64*d[33])/3 + 
       (64*d[34])/3)*HPL[{1}, 1 - u]*Qep[v, w, u] + 
     (-32*d[5] - 16*d[7] + (176*d[8])/3 - (112*d[9])/3 + 64*d[10] + 8*d[12] + 
       (16*d[13])/3 - (64*d[14])/3 - 128*d[16] + (64*d[19])/3 + (8*d[20])/3 + 
       (64*d[21])/3 - (32*d[23])/3 - 160*d[24] + (32*d[27])/3 + 
       (64*d[33])/3 - (64*d[34])/3)*HPL[{1}, 1 - v]*Qep[v, w, u] + 
     ((32*d[2])/9 - (64*d[5])/3 + (64*d[12])/3 - (64*d[13])/3 + 32*d[14] + 
       (64*d[23])/3 + 64*d[24])*HPL[{1}, 1 - w]*Qep[v, w, u] + 
     (32*d[5] - (40*d[6])/9 + (32*d[7])/3 - (128*d[8])/3 + (128*d[9])/3 - 
       (800*d[10])/9 + (64*d[11])/9 + (64*d[12])/9 + (80*d[15])/9 + 
       (1024*d[16])/9 - 32*d[17] + (224*d[18])/3 - (272*d[19])/9 - 
       (160*d[20])/9 - (368*d[21])/9 - (80*d[22])/9 + (796*d[24])/9 + 
       (32*d[26])/9 - (32*d[27])/3 - (64*d[33])/3 + (64*d[34])/3)*
      HPL[{1}, 1 - u]*Qep[w, u, v] + ((-32*d[5])/3 - 8*d[7] + (344*d[8])/9 - 
       (280*d[9])/9 + (64*d[10])/3 - (112*d[11])/9 - (56*d[12])/9 - 
       (64*d[14])/3 - (128*d[16])/3 + (64*d[19])/9 + (80*d[20])/9 + 
       (64*d[21])/9 - (16*d[23])/9 - (992*d[24])/9 + (32*d[27])/9 + 
       (64*d[33])/9 - (64*d[34])/9)*HPL[{1}, 1 - v]*Qep[w, u, v] + 
     ((-32*d[2])/9 - (64*d[5])/3 + (16*d[12])/9 - (64*d[13])/3 + 
       (64*d[14])/3 - (280*d[20])/9 - (40*d[23])/9 + (112*d[24])/9)*
      HPL[{1}, 1 - w]*Qep[w, u, v] + (-32*d[5] + (136*d[6])/9 - (32*d[7])/3 + 
       (128*d[8])/3 - (128*d[9])/3 + (704*d[10])/9 - (160*d[11])/9 + 
       (200*d[12])/9 + (160*d[15])/9 - (832*d[16])/9 - 32*d[17] + 
       (352*d[18])/3 + (32*d[19])/9 - (104*d[20])/9 - (160*d[21])/9 - 
       (160*d[22])/9 - 24*d[23] - (568*d[24])/9 + (64*d[26])/9 + 
       (32*d[27])/3 + (64*d[33])/3 - (64*d[34])/3)*HPL[{1}, 1 - u]*
      Qep[w, v, u] + ((-64*d[5])/3 - 40*d[7] + (472*d[8])/9 - (344*d[9])/9 + 
       (128*d[10])/3 - (80*d[11])/9 + (32*d[12])/9 + 16*d[13] + 
       (64*d[14])/3 - (256*d[16])/3 + (128*d[19])/9 - (56*d[20])/9 + 
       (128*d[21])/9 - (176*d[23])/9 - (1696*d[24])/9 + (64*d[27])/9 + 
       (128*d[33])/9 - (128*d[34])/9)*HPL[{1}, 1 - v]*Qep[w, v, u] + 
     ((-64*d[2])/9 + (64*d[5])/3 + (176*d[12])/9 + (64*d[13])/3 + 
       (32*d[14])/3 - (56*d[20])/9 + (136*d[23])/9 - (208*d[24])/9)*
      HPL[{1}, 1 - w]*Qep[w, v, u] + ((-17*d[6])/24 + d[10]/3 + d[11]/3 - 
       d[12]/6 - (13*d[15])/12 - (2*d[16])/3 - (11*d[17])/2 + (7*d[18])/2 + 
       (13*d[19])/12 + (7*d[20])/24 + (25*d[21])/12 + (13*d[22])/12 + 
       (3*d[23])/8 - (47*d[24])/48 - d[26]/3)*HPL[{1}, 1 - u]^4*\[Zeta][2] + 
     (-d[4] + d[5]/4 + 4*d[6] + (4*d[7])/3 - (5*d[8])/4 + (13*d[9])/12 - 
       d[10]/2 + (3*d[11])/4 - (119*d[12])/24 - d[13]/4 + d[15] + d[16] + 
       17*d[17] - 22*d[18] - (7*d[19])/6 - (41*d[20])/24 - (7*d[21])/6 - 
       d[22] - (5*d[23])/24 - (5*d[24])/12 - d[27]/12 - d[33]/6 + d[34]/6)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*\[Zeta][2] + 
     (-d[3] + d[4] - 2*d[5] - (3*d[6])/2 + d[7] + (7*d[8])/2 - 3*d[9] + 
       (21*d[10])/2 - 4*d[11] - (3*d[13])/4 - d[14] + 4*d[15] - 3*d[16] - 
       (15*d[17])/2 + 13*d[18] - (5*d[19])/2 + (5*d[20])/2 - 7*d[21] - 
       (7*d[22])/2 - d[23]/2 + (15*d[24])/4 + d[26] - d[27]/2 + d[33] - 
       d[34])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*\[Zeta][2] + 
     ((-19*d[6])/24 - 4*d[7] - 4*d[8] + 4*d[9] - (11*d[10])/12 + d[11]/12 - 
       (13*d[12])/6 - d[13]/3 + (5*d[14])/3 - (11*d[15])/6 - d[16]/6 + 
       5*d[17] - 12*d[18] + (11*d[19])/6 - d[20]/24 + (25*d[21])/12 + 
       (11*d[22])/6 - (59*d[23])/24 - (115*d[24])/48 - d[26]/12)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*\[Zeta][2] + 
     (d[5] + 2*d[7] - (11*d[8])/6 + (7*d[9])/6 - 2*d[10] - (7*d[11])/3 - 
       (67*d[12])/24 - d[13]/4 + 4*d[16] - (2*d[19])/3 + (25*d[20])/24 - 
       (2*d[21])/3 + (25*d[23])/24 + (73*d[24])/12 - d[27]/3 - (2*d[33])/3 + 
       (2*d[34])/3)*HPL[{1}, 1 - v]^4*\[Zeta][2] + 
     (d[2]/6 - (3*d[6])/2 - (23*d[12])/4 - d[14]/2 - d[15] - 18*d[17] + 
       (62*d[18])/3 + d[19] + (115*d[20])/24 + 3*d[21] - d[22] + 
       (283*d[23])/24 + 13*d[24])*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      \[Zeta][2] + (-3*d[5] - (11*d[6])/6 - d[7]/2 + (13*d[8])/2 - 
       (9*d[9])/2 - (17*d[10])/3 + d[11]/3 + (43*d[12])/3 - (3*d[13])/2 - 
       2*d[14] - (13*d[15])/3 - (26*d[16])/3 - 19*d[17] + 14*d[18] + 
       (22*d[19])/3 + (191*d[20])/12 + (7*d[21])/3 + (16*d[22])/3 - 7*d[23] - 
       (163*d[24])/6 - d[26]/3 + d[27] + 2*d[33] - 2*d[34])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (4*d[4] + 2*d[5] - (3*d[6])/2 + 9*d[7] - (49*d[8])/3 + (47*d[9])/3 + 
       4*d[10] - (4*d[11])/3 - (61*d[12])/6 + 2*d[13] - d[14] + 5*d[16] + 
       14*d[17] - 30*d[18] - (5*d[19])/3 + (71*d[20])/3 + (13*d[21])/3 - 
       d[22] + (41*d[23])/3 + (415*d[24])/12 - (16*d[27])/3 - (2*d[33])/3 + 
       (2*d[34])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      \[Zeta][2] + (d[2]/6 + (41*d[7])/6 + (49*d[8])/6 - (49*d[9])/6 - 
       2*d[10] - 9*d[11] - (79*d[12])/12 - d[13] - (3*d[14])/2 + 
       (89*d[20])/8 + (127*d[23])/24 + (79*d[24])/12)*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*\[Zeta][2] + (d[2] - (3*d[6])/2 - (19*d[12])/2 - 
       2*d[14] - 8*d[15] + 6*d[17] - 12*d[18] + 8*d[19] - (7*d[20])/4 + 
       8*d[21] + 8*d[22] - (3*d[23])/2 - (57*d[24])/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*\[Zeta][2] + ((-22*d[2])/3 - (71*d[12])/3 - 2*d[13] + 
       6*d[14] - d[15] + 12*d[17] - 24*d[18] + d[19] - (67*d[20])/3 + d[21] + 
       d[22] - (89*d[23])/6 - (83*d[24])/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*\[Zeta][2] + (-3*d[2] + (3*d[7])/4 - (21*d[8])/4 + 
       (21*d[9])/4 + (3*d[11])/2 + d[13]/2 - (5*d[14])/2 + (113*d[20])/4 + 
       13*d[23] + 12*d[24])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     (-d[1]/3 - (4*d[2])/3 - (5*d[6])/24 + d[10]/3 + d[11]/3 - (2*d[12])/3 - 
       4*d[14] - (13*d[15])/12 - (2*d[16])/3 + d[17] - 4*d[18] + 
       (13*d[19])/12 + (619*d[20])/24 + (25*d[21])/12 + (13*d[22])/12 + 
       (107*d[23])/8 - (155*d[24])/48 - d[26]/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^3*\[Zeta][2] + ((2*d[2])/3 + d[5] + (5*d[7])/4 - 
       (25*d[8])/12 + (17*d[9])/12 - 2*d[10] + d[11]/6 - (7*d[12])/24 - 
       d[13]/4 - 2*d[14] + 4*d[16] - (2*d[19])/3 + (79*d[20])/24 - 
       (2*d[21])/3 + (43*d[23])/24 + (31*d[24])/12 - d[27]/3 - (2*d[33])/3 + 
       (2*d[34])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*\[Zeta][2] + 
     (d[2]/6 - (23*d[12])/12 - d[14]/2 + (103*d[20])/24 + (31*d[23])/24 - 
       (11*d[24])/12)*HPL[{1}, 1 - w]^4*\[Zeta][2] + 
     ((-49*d[6])/24 + (5*d[10])/3 + (5*d[11])/3 - (41*d[12])/6 - 
       (29*d[15])/12 - (10*d[16])/3 + (9*d[17])/2 - (33*d[18])/2 + 
       (29*d[19])/12 + (23*d[20])/24 + (113*d[21])/12 + (5*d[22])/12 + 
       (71*d[23])/8 + (725*d[24])/48 - (5*d[26])/3)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + (-4*d[3] + 6*d[4] - (51*d[5])/4 - 
       (29*d[6])/6 + 2*d[7] + (217*d[8])/12 - (167*d[9])/12 + (137*d[10])/6 - 
       (79*d[11])/12 + (47*d[12])/8 - (5*d[13])/4 + (14*d[15])/3 - 
       (77*d[16])/3 + 16*d[17] - 24*d[18] + (3*d[19])/2 + (53*d[20])/8 - 
       (21*d[21])/2 - (17*d[22])/3 - (217*d[23])/24 - (15*d[24])/2 + 
       (5*d[26])/3 + (31*d[27])/12 + (43*d[33])/6 - (43*d[34])/6 + 8*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (8*d[3] - 6*d[4] - (9*d[5])/2 + d[7]/2 - (64*d[8])/3 + (41*d[9])/3 - 
       12*d[10] - (17*d[11])/6 - (17*d[12])/3 + 3*d[13] + 4*d[14] + 2*d[15] + 
       28*d[16] - 2*d[17] - 4*d[18] - (17*d[19])/3 + (115*d[20])/6 - 
       (11*d[21])/3 - 6*d[22] + (73*d[23])/6 + (160*d[24])/3 - (11*d[27])/6 - 
       4*d[31] - 2*d[32] + d[33]/3 + (11*d[34])/3 - 12*d[36])*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (d[2]/6 + 12*d[5] - (17*d[6])/2 + 4*d[7] - 16*d[8] + 16*d[9] - 
       29*d[10] + 6*d[11] - (85*d[12])/12 - (5*d[14])/2 - 12*d[15] + 
       34*d[16] + 11*d[17] - 27*d[18] + 4*d[19] - (205*d[20])/24 + 15*d[21] + 
       12*d[22] - (217*d[23])/24 + (53*d[24])/3 - 3*d[26] - 4*d[27] - 
       8*d[33] + 8*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + (-4*d[2] + 16*d[3] - 16*d[4] - 11*d[5] - 6*d[6] + 
       20*d[7] - 5*d[8] - 5*d[9] - 12*d[10] + 3*d[11] - (7*d[12])/6 + 
       9*d[13] - 18*d[14] + 4*d[15] + 24*d[16] - 4*d[17] - 8*d[18] - 
       6*d[19] + (80*d[20])/3 - 2*d[21] - 12*d[22] + (47*d[23])/3 + 
       (175*d[24])/3 + 2*d[26] - d[27] - 8*d[31] - 4*d[32] + 6*d[33] + 
       2*d[34] - 24*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + (8*d[2] - 2*d[5] - 6*d[7] - 6*d[8] + 6*d[9] - 
       (9*d[12])/2 - 2*d[13] + 4*d[14] - (27*d[20])/2 - 8*d[23] + 3*d[24])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (8*d[15] - 8*d[19] - 5*d[20] - 8*d[21] - 8*d[22] + 6*d[23] + 15*d[24])*
      HPL[{0, 1}, 1 - u]^2*\[Zeta][2] + (6*d[3] - 7*d[4] + 5*d[5] + 
       (4*d[6])/3 + (23*d[7])/2 - (33*d[8])/2 + (19*d[9])/2 - (197*d[10])/6 + 
       (7*d[11])/6 - (125*d[12])/6 - 4*d[13] + (5*d[15])/6 + (137*d[16])/3 + 
       10*d[17] - 17*d[18] - (77*d[19])/6 + (119*d[20])/6 + (14*d[21])/3 - 
       (59*d[22])/6 + (39*d[23])/2 + (533*d[24])/12 + (5*d[26])/6 - 6*d[27] - 
       2*d[31] - 3*d[32] - 4*d[33] + 6*d[34] - 12*d[36])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (2*d[4] - 3*d[5] - (151*d[6])/24 + 
       15*d[7] + (25*d[8])/3 - (14*d[9])/3 - (7*d[10])/12 + (11*d[11])/4 - 
       (13*d[12])/6 - 5*d[13] - 13*d[14] - (13*d[15])/6 + d[16]/6 + 7*d[17] - 
       22*d[18] + (17*d[19])/6 - (65*d[20])/24 - (83*d[21])/12 + 
       (13*d[22])/6 - (151*d[23])/24 + (85*d[24])/48 - (5*d[26])/12 - 
       (2*d[27])/3 + (2*d[33])/3 - (2*d[34])/3 + 8*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (5*d[5] + (39*d[7])/4 - (65*d[8])/12 + d[9]/12 - 12*d[10] - 
       (19*d[11])/6 - (83*d[12])/24 - d[13]/4 + 4*d[14] + 20*d[16] - 
       (10*d[19])/3 + (395*d[20])/24 - (10*d[21])/3 + (287*d[23])/24 + 
       (449*d[24])/12 - (5*d[27])/3 - (10*d[33])/3 + (10*d[34])/3)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (2*d[1] + 10*d[2] + 16*d[3] - 16*d[4] - 38*d[5] - (31*d[6])/6 + 6*d[7] + 
       24*d[8] - 28*d[9] + (65*d[10])/3 - (19*d[11])/3 + (31*d[12])/3 - 
       12*d[13] - 2*d[14] - (29*d[15])/3 - (124*d[16])/3 - 11*d[17] - 
       13*d[18] + (20*d[19])/3 - (149*d[20])/6 + (89*d[21])/3 - 
       (40*d[22])/3 - (80*d[23])/3 - (755*d[24])/12 + (13*d[26])/3 + 
       6*d[27] - 8*d[31] - 2*d[32] + 20*d[33] - 12*d[34] - 24*d[36])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((-7*d[2])/6 + 2*d[5] - 2*d[7] - (8*d[8])/3 - (8*d[9])/3 - 11*d[10] - 
       (14*d[11])/3 - (17*d[12])/12 + 3*d[13] + (15*d[14])/2 + 4*d[15] + 
       8*d[16] - (16*d[19])/3 + (247*d[20])/24 - (25*d[21])/3 - 2*d[22] + 
       (91*d[23])/24 + (49*d[24])/12 - (2*d[27])/3 - (10*d[33])/3 + 
       (10*d[34])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + ((-26*d[2])/3 + 8*d[5] + 6*d[6] - 3*d[11] - (11*d[12])/6 + 
       8*d[13] - 2*d[14] + 6*d[17] + 6*d[18] + (179*d[20])/6 + (65*d[23])/6 + 
       (5*d[24])/3)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (2*d[3] - 2*d[4] - 5*d[5] + 2*d[6] - 5*d[7] + d[8] + 2*d[9] + 4*d[10] + 
       3*d[11] - 4*d[12] - 6*d[14] + 3*d[15] - 18*d[16] - 6*d[18] - d[19] + 
       (9*d[20])/2 - 2*d[21] - 7*d[22] - 5*d[23] - (37*d[24])/2 + 2*d[26] + 
       2*d[27] - 2*d[31] - d[32] + 6*d[33] - 4*d[34])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (-16*d[15] + 16*d[19] + 10*d[20] + 
       16*d[21] + 16*d[22] - 12*d[23] - 30*d[24])*HPL[{0, 1}, 1 - v]^2*
      \[Zeta][2] + (d[4] - 12*d[5] + d[6]/2 - 4*d[7] + 16*d[8] - 16*d[9] + 
       31*d[10] - (9*d[11])/2 - d[12]/2 + 2*d[15] - 39*d[16] + (9*d[17])/2 - 
       (19*d[18])/2 + 6*d[19] + 7*d[20] + 2*d[21] - 2*d[22] + d[23] - 
       (123*d[24])/4 + d[26] + 4*d[27] + 8*d[33] - 8*d[34])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + (4*d[3] - 6*d[4] + 11*d[5] - 
       (35*d[6])/6 + 4*d[7] - 20*d[8] + 15*d[9] - (104*d[10])/3 + 
       (34*d[11])/3 - (43*d[12])/6 - d[13] + 13*d[14] - (10*d[15])/3 + 
       (157*d[16])/3 + 4*d[17] - 24*d[18] - (26*d[19])/3 - (28*d[20])/3 - 
       (14*d[21])/3 + (4*d[22])/3 + (3*d[23])/2 + (523*d[24])/12 - 
       (7*d[26])/3 - 2*d[27] - 10*d[33] + 10*d[34] - 4*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     ((5*d[5])/2 + (21*d[7])/2 - (22*d[8])/3 + (14*d[9])/3 - (3*d[10])/2 - 
       (5*d[11])/6 - (8*d[12])/3 - 6*d[14] + 2*d[15] + 4*d[16] - 
       (8*d[19])/3 + (47*d[20])/12 - (25*d[21])/6 - d[22] + (23*d[23])/3 + 
       (349*d[24])/12 - (5*d[27])/6 - (5*d[33])/3 + (5*d[34])/3)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     ((2*d[2])/3 + 8*d[5] - (25*d[6])/24 + (5*d[10])/3 + (5*d[11])/3 - 
       (5*d[12])/6 + 8*d[13] - 10*d[14] - (221*d[15])/12 - (10*d[16])/3 - 
       2*d[17] - 17*d[18] + (221*d[19])/12 - (589*d[20])/24 + 
       (281*d[21])/12 + (221*d[22])/12 - (153*d[23])/8 - (2251*d[24])/48 - 
       (5*d[26])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + (-3*d[5] + (37*d[7])/4 - (185*d[8])/12 + (145*d[9])/12 - 
       10*d[10] - (7*d[11])/6 - (53*d[12])/8 - (49*d[13])/4 + 6*d[14] + 
       20*d[16] - (10*d[19])/3 + (385*d[20])/8 - (10*d[21])/3 + 
       (185*d[23])/8 + (273*d[24])/4 - (5*d[27])/3 - (10*d[33])/3 + 
       (10*d[34])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + ((13*d[2])/6 - (115*d[12])/12 - (5*d[14])/2 + 
       (515*d[20])/24 + (155*d[23])/24 - (55*d[24])/12)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + (4*d[3] - 6*d[4] + 11*d[5] + 3*d[6] + 
       5*d[7] - 7*d[8] + 4*d[9] - 8*d[10] + 2*d[11] - 6*d[12] + 10*d[14] + 
       6*d[15] + 11*d[16] - 6*d[19] - 5*d[20] + 2*d[21] - 8*d[22] + 
       10*d[23] + 31*d[24] - d[26] + 2*d[33] - 2*d[34] - 12*d[36])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (4*d[3] - 6*d[4] - 2*d[6] - 5*d[8] + 4*d[9] - 7*d[10] - 4*d[11] - 
       4*d[12] + 14*d[14] - 6*d[15] + 19*d[16] - d[17] + 3*d[18] + 3*d[19] - 
       4*d[20] + 16*d[21] + 3*d[22] + 10*d[23] + 8*d[24] + d[27] - 12*d[36])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (2*d[2] - 10*d[5] + (29*d[6])/8 + d[7] + 18*d[8] - 11*d[9] + 4*d[10] + 
       9*d[11] + (9*d[12])/2 + 8*d[13] + (33*d[15])/4 - 11*d[16] + 7*d[17] - 
       14*d[18] - (13*d[19])/4 + (57*d[20])/8 - (5*d[21])/4 - (53*d[22])/4 + 
       (55*d[23])/8 - (113*d[24])/16 + d[26] + d[27] + 10*d[33] - 10*d[34])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     ((-11*d[5])/4 + 4*d[7] - (5*d[8])/4 - (29*d[9])/4 - (3*d[10])/2 - 
       (5*d[11])/4 - (9*d[12])/8 - (29*d[13])/4 + 8*d[14] + 15*d[16] + 
       d[19]/2 - (3*d[20])/8 - (3*d[21])/2 + 2*d[22] + (9*d[23])/8 + 
       (91*d[24])/4 - (3*d[27])/4 - (3*d[33])/2 + (3*d[34])/2)*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (-2*d[1] + (17*d[2])/6 - 3*d[5] - 10*d[7] - 9*d[8] + 15*d[9] - 
       13*d[10] + d[11] - (7*d[12])/4 + 8*d[13] - (13*d[14])/2 - d[16] - 
       9*d[19] + (21*d[20])/8 - 2*d[21] - 7*d[22] - (31*d[23])/8 - 
       (93*d[24])/4 - d[27] - 2*d[33] + 2*d[34])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + (2*d[2] - 4*d[4] - (29*d[6])/8 + 
       (3*d[10])/4 + (3*d[11])/4 - 8*d[12] + (21*d[15])/2 - (3*d[16])/2 + 
       11*d[17] - 22*d[18] - (17*d[19])/2 + (33*d[20])/8 - (5*d[21])/4 - 
       (25*d[22])/2 + (35*d[23])/8 + (63*d[24])/16 + (9*d[26])/4)*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (-2*d[3] + 2*d[4] + 5*d[5] - d[6] + d[7]/4 + (47*d[8])/4 - (31*d[9])/4 - 
       4*d[10] + (27*d[11])/2 + (191*d[12])/8 + (15*d[13])/4 + 2*d[14] - 
       4*d[15] - 7*d[16] - 10*d[17] + 12*d[18] + 5*d[19] + (13*d[20])/8 + 
       8*d[21] - d[22] - (91*d[23])/8 - (161*d[24])/4 + 3*d[26] + d[27] + 
       2*d[31] - d[32] + 6*d[33] - 8*d[34])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + (4*d[1] - d[2]/2 + 13*d[6] + d[10] + 
       d[11] + (11*d[12])/4 + (27*d[14])/2 - 6*d[15] - 2*d[16] + 13*d[17] - 
       9*d[18] + 10*d[19] + (37*d[20])/8 + 8*d[21] + 10*d[22] + 
       (29*d[23])/8 + (45*d[24])/4 - 5*d[26])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (-2*d[3] - 2*d[4] - 8*d[5] - (27*d[6])/8 + 3*d[7] - 11*d[8] + 7*d[9] + 
       3*d[10] - 11*d[11] - (33*d[12])/2 - 6*d[13] + 12*d[14] + 
       (37*d[15])/4 + 9*d[16] + 23*d[17] - 20*d[18] - (41*d[19])/4 - 
       (115*d[20])/8 - (69*d[21])/4 - (41*d[22])/4 + (67*d[23])/8 + 
       (1071*d[24])/16 + d[26] - 4*d[27] - 2*d[31] + 3*d[32] - 4*d[33] + 
       2*d[34] - 12*d[36])*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     (2*d[3] - 4*d[4] - 8*d[5] - 10*d[6] + (73*d[7])/4 + (93*d[8])/4 - 
       (85*d[9])/4 + 5*d[10] + (21*d[11])/2 + (171*d[12])/8 + (15*d[13])/4 + 
       2*d[14] - 8*d[15] - 7*d[16] - 10*d[17] + 12*d[18] + 9*d[19] + 
       (33*d[20])/8 + 12*d[21] + 3*d[22] - (147*d[23])/8 - (217*d[24])/4 - 
       4*d[27] + 2*d[31] - d[32] + 6*d[33] - 8*d[34] - 12*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     ((-7*d[2])/6 + 2*d[5] - 6*d[7] + 10*d[8] - 10*d[9] + 4*d[11] + 
       (111*d[12])/4 + 2*d[13] + (3*d[14])/2 + 12*d[17] - (103*d[20])/8 - 
       (175*d[23])/8 - (117*d[24])/4)*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      \[Zeta][2] + (4*d[4] - d[6]/6 - (4*d[10])/3 - (4*d[11])/3 + 
       (56*d[12])/3 - (5*d[15])/3 + (8*d[16])/3 + 10*d[17] - 8*d[18] + 
       (5*d[19])/3 - d[20]/6 - (19*d[21])/3 + (17*d[22])/3 - (31*d[23])/2 - 
       (319*d[24])/12 + (4*d[26])/3)*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][2] + (-4*d[3] + 4*d[4] + 10*d[5] - 22*d[7] + (28*d[8])/3 - 
       (8*d[9])/3 + 42*d[10] - (44*d[11])/3 - (83*d[12])/6 - 3*d[13] - 
       4*d[14] - 18*d[15] - 50*d[16] - 4*d[17] + 36*d[18] + (110*d[19])/3 - 
       (86*d[20])/3 + (56*d[21])/3 + 44*d[22] + (95*d[23])/6 - 
       (251*d[24])/6 + (4*d[27])/3 + 4*d[31] + 2*d[32] - (28*d[33])/3 + 
       (16*d[34])/3 + 8*d[36])*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][2] + ((26*d[2])/3 + 32*d[3] - 32*d[4] - 42*d[5] - 2*d[6] + 
       8*d[7] - 28*d[8] - 4*d[9] - 26*d[10] - (67*d[12])/3 + 48*d[13] + 
       6*d[14] - 8*d[15] + 8*d[16] - 48*d[17] - 4*d[18] - 12*d[19] + 
       (659*d[20])/6 + 32*d[21] - 36*d[22] + (131*d[23])/6 + (35*d[24])/3 - 
       2*d[26] + 4*d[27] - 16*d[31] - 8*d[32] + 24*d[33] - 8*d[34] - 
       48*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + 
     (-24*d[3] + 24*d[4] + 12*d[5] + (11*d[6])/6 - 20*d[7] - 10*d[8] + 
       12*d[9] - (4*d[10])/3 - (58*d[11])/3 + (35*d[12])/3 + 10*d[13] + 
       12*d[14] - (5*d[15])/3 - (88*d[16])/3 + 28*d[17] - 18*d[18] + 
       (35*d[19])/3 - (265*d[20])/6 + (5*d[21])/3 + (47*d[22])/3 - 
       (7*d[23])/2 - (289*d[24])/12 + (4*d[26])/3 - 2*d[27] + 16*d[31] + 
       4*d[32] - 4*d[33] - 12*d[34] + 8*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + (-4*d[5] - 8*d[7] + (22*d[8])/3 + 
       (10*d[9])/3 + 12*d[10] + (16*d[11])/3 - (5*d[12])/6 - d[13] - 
       4*d[14] + 4*d[15] - 16*d[16] - (4*d[19])/3 - (20*d[20])/3 - 
       (4*d[21])/3 - 4*d[22] + (11*d[23])/6 - (113*d[24])/6 + (4*d[27])/3 + 
       (8*d[33])/3 - (8*d[34])/3)*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      \[Zeta][2] + ((-2*d[2])/3 + 32*d[3] - 32*d[4] - 12*d[5] + 4*d[6] + 
       48*d[7] - 28*d[8] + 4*d[9] - 16*d[10] + 2*d[11] + (77*d[12])/3 - 
       28*d[13] + 18*d[14] - 24*d[15] + 94*d[16] - 28*d[17] + 68*d[18] - 
       6*d[19] - (13*d[20])/6 + 30*d[21] - 18*d[22] + (71*d[23])/6 + 
       (503*d[24])/3 + 4*d[26] - 4*d[27] - 16*d[31] - 8*d[32] + 12*d[33] + 
       4*d[34] - 48*d[36])*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     ((-7*d[6])/6 - (4*d[10])/3 - (4*d[11])/3 - d[12]/3 + (19*d[15])/3 + 
       (8*d[16])/3 + 18*d[17] - 16*d[18] - (19*d[19])/3 - (73*d[20])/6 - 
       (31*d[21])/3 - (19*d[22])/3 - (5*d[23])/2 + (89*d[24])/12 + 
       (4*d[26])/3)*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (-7*d[7] + (55*d[8])/3 - (47*d[9])/3 + 8*d[10] + (22*d[11])/3 + 
       d[12]/6 + 7*d[13] - 4*d[14] + 4*d[15] - 16*d[16] - (4*d[19])/3 - 
       (20*d[20])/3 - (4*d[21])/3 - 4*d[22] + (11*d[23])/6 - (185*d[24])/6 + 
       (4*d[27])/3 + (8*d[33])/3 - (8*d[34])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + ((-10*d[2])/3 + (47*d[12])/3 + 
       2*d[14] - (199*d[20])/6 - (79*d[23])/6 + (35*d[24])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (2*d[2] - 14*d[5] - 4*d[7] - 6*d[8] + 8*d[9] - d[10])*
      HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (2*d[1] - 2*d[4] + 7*d[6] - 4*d[12] + 12*d[14] + 7*d[15] + 10*d[17] - 
       10*d[18] - 2*d[19] - 12*d[20] - 4*d[22] + 2*d[23] - 6*d[24] - 5*d[26])*
      HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (4*d[5] - 4*d[6] - 16*d[7] + 14*d[8] + 38*d[10] - 20*d[11] - 4*d[12] - 
       70*d[16] + 2*d[19] - 4*d[21] + 6*d[22] - 46*d[24] + 6*d[27] - 
       4*d[33] + 4*d[34])*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2] + 
     (4*d[3] - 4*d[4] - 8*d[5] - 2*d[6] + 4*d[9] - 4*d[10] - 10*d[11] + 
       6*d[12] - 4*d[13] + 8*d[15] + 2*d[16] + 26*d[17] - 40*d[18] - 
       6*d[19] - 16*d[20] - 40*d[21] - 6*d[22] - 4*d[23] + 8*d[24] + 
       2*d[26] - 4*d[31] + 6*d[32] + 4*d[34])*HPL[{0, 0, 1, 1}, 1 - v]*
      \[Zeta][2] + (48*d[3] - 38*d[4] - 48*d[5] + 39*d[7] - 33*d[8] + 
       3*d[9] - 30*d[10] - 24*d[11] - 18*d[12] + 48*d[13] - 6*d[15] + 
       72*d[16] - 33*d[17] + 9*d[18] - 32*d[19] + 33*d[20] - 54*d[22] + 
       18*d[23] + 135*d[24] - 12*d[27] - 24*d[31] - 12*d[32] + 24*d[33] - 
       72*d[36])*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2] + 
     (48*d[3] - 36*d[4] - 36*d[5] + 45*d[7] + 3*d[8] - 33*d[9] - 36*d[10] - 
       54*d[11] + 24*d[12] - 24*d[13] + 12*d[14] + 72*d[16] - 18*d[17] + 
       54*d[18] - 36*d[19] + 33*d[20] - 60*d[22] - 6*d[23] + 72*d[24] - 
       18*d[27] - 24*d[31] - 12*d[32] + 24*d[33] - 72*d[36])*
      HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2] + 
     ((16*d[2])/5 + 6*d[6] - (12*d[10])/5 - (12*d[11])/5 + (62*d[12])/5 + 
       (36*d[15])/5 + (24*d[16])/5 - (24*d[17])/5 + 24*d[18] - (36*d[19])/5 - 
       (6*d[20])/5 - (72*d[21])/5 - (36*d[22])/5 - (18*d[23])/5 + 
       (22*d[24])/5 + (12*d[26])/5)*HPL[{1}, 1 - u]^2*\[Zeta][2]^2 + 
     ((-16*d[4])/5 + (42*d[6])/5 - (54*d[7])/5 + (18*d[8])/5 - (18*d[9])/5 + 
       (12*d[10])/5 - (12*d[11])/5 + (36*d[12])/5 + (12*d[13])/5 + 
       (36*d[15])/5 - (24*d[17])/5 + 24*d[18] - (36*d[19])/5 - (6*d[20])/5 - 
       (36*d[21])/5 - (36*d[22])/5 - 6*d[23] - 26*d[24])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*\[Zeta][2]^2 + ((-36*d[5])/5 - (66*d[7])/5 + 
       (66*d[8])/5 - (32*d[9])/5 + (72*d[10])/5 + (18*d[12])/5 + 
       (6*d[13])/5 + (6*d[14])/5 - 4*d[15] - (144*d[16])/5 + (44*d[19])/5 - 
       (23*d[20])/10 + (44*d[21])/5 + 4*d[22] - (41*d[23])/5 - 
       (519*d[24])/10 + (12*d[27])/5 + (24*d[33])/5 - (24*d[34])/5)*
      HPL[{1}, 1 - v]^2*\[Zeta][2]^2 + ((-16*d[1])/5 - (36*d[2])/5 + 
       (6*d[6])/5 - (12*d[10])/5 - (12*d[11])/5 - 2*d[12] + (24*d[14])/5 + 
       (76*d[15])/5 + (24*d[16])/5 - (24*d[17])/5 + 24*d[18] - (76*d[19])/5 - 
       (7*d[20])/5 - (112*d[21])/5 - (76*d[22])/5 + (18*d[23])/5 + 
       (81*d[24])/5 - (4*d[25])/5 + (12*d[26])/5)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*\[Zeta][2]^2 + ((-8*d[2])/5 - (56*d[5])/5 - 
       (42*d[7])/5 + (66*d[8])/5 - (42*d[9])/5 + (72*d[10])/5 + (6*d[12])/5 - 
       (28*d[13])/5 + (12*d[14])/5 - 8*d[15] - (144*d[16])/5 + (64*d[19])/5 + 
       d[20]/5 + (64*d[21])/5 + 8*d[22] - (36*d[23])/5 - (263*d[24])/5 + 
       (12*d[27])/5 - (8*d[28])/5 + 8*d[30] + (24*d[33])/5 - (24*d[34])/5)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2]^2 + 
     ((-8*d[2])/5 + (84*d[12])/5 + (24*d[14])/5 - (192*d[20])/5 - 
       (66*d[23])/5 + (48*d[24])/5)*HPL[{1}, 1 - w]^2*\[Zeta][2]^2 + 
     ((32*d[2])/5 - (16*d[4])/5 + 4*d[5] + 4*d[11] + 8*d[12] - 4*d[16] - 
       (16*d[19])/5 - (4*d[29])/5)*HPL[{0, 1}, 1 - u]*\[Zeta][2]^2 + 
     ((-16*d[4])/5 + 8*d[13] + 4*d[16] + (16*d[19])/5 + (32*d[23])/5 - 
       8*d[24] + (8*d[28])/5 + (4*d[29])/5 - 8*d[30])*HPL[{0, 1}, 1 - v]*
      \[Zeta][2]^2 + ((-5*d[4])/3 - (25*d[6])/12 + (4*d[10])/3 + 
       (4*d[11])/3 - (13*d[12])/2 - (29*d[15])/6 - (8*d[16])/3 + 3*d[17] - 
       (29*d[18])/3 + (29*d[19])/6 + (5*d[20])/3 + (59*d[21])/6 + 
       (23*d[22])/6 + 2*d[23] + (31*d[24])/8 - (4*d[26])/3)*HPL[{1}, 1 - u]^3*
      \[Zeta][3] + (d[4] - 3*d[5] - 2*d[6] + 2*d[7] + (19*d[8])/6 + 
       (5*d[9])/3 + (7*d[10])/2 - d[11]/3 + (85*d[12])/12 + d[15] - 
       (17*d[16])/2 - 8*d[18] + (4*d[19])/3 + (17*d[20])/12 - (2*d[21])/3 + 
       2*d[22] - (37*d[23])/3 - (41*d[24])/3 + d[26]/2 + d[27]/6 + 
       (4*d[33])/3 - (4*d[34])/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      \[Zeta][3] + (d[4] + 3*d[5] - (31*d[6])/12 + (9*d[7])/2 + 6*d[8] - 
       (11*d[9])/2 + (59*d[10])/6 + (22*d[11])/3 - (53*d[12])/12 - 
       (3*d[13])/2 - d[14]/2 + d[15]/6 - (19*d[16])/6 - 14*d[18] + 
       (4*d[19])/3 - (23*d[20])/24 + (4*d[21])/3 - d[22]/6 + (15*d[23])/2 - 
       (119*d[24])/12 + (2*d[26])/3 - (3*d[27])/2 - d[30] + (3*d[33])/2 - 
       (3*d[34])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][3] + 
     (4*d[5] + (107*d[7])/12 - (5*d[8])/12 - (9*d[9])/4 - 9*d[10] - 
       (3*d[11])/2 - (5*d[12])/6 - d[13]/2 + d[14] + 16*d[16] - (8*d[19])/3 + 
       d[20]/4 - (8*d[21])/3 + (11*d[23])/6 + 26*d[24] - (4*d[27])/3 - 
       (8*d[33])/3 + (8*d[34])/3)*HPL[{1}, 1 - v]^3*\[Zeta][3] + 
     (d[2]/3 + 2*d[4] - (3*d[6])/2 + (41*d[12])/6 - d[15] + 4*d[17] - 
       4*d[18] + d[19] - (19*d[20])/12 + d[21] + d[22] - (43*d[23])/12 + 
       (79*d[24])/12)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][3] + 
     ((-10*d[2])/3 - 2*d[4] + 10*d[5] + (7*d[6])/2 + (7*d[7])/2 - 
       (19*d[8])/2 + (9*d[9])/2 - 7*d[10] + 8*d[11] - (43*d[12])/2 - d[14] + 
       6*d[16] - 3*d[17] - 3*d[18] - 2*d[19] + (11*d[20])/4 + 9*d[21] + 
       d[22] + 14*d[23] + (145*d[24])/4 - d[26] - d[27] + 2*d[30] - 3*d[33] + 
       3*d[34])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (-2*d[2] - (5*d[7])/2 + d[8]/2 - d[9]/2 + d[11] + (10*d[12])/3 + 
       2*d[13] - 6*d[14] - (61*d[20])/12 - (67*d[23])/12 - (61*d[24])/6)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (d[1] + (5*d[2])/3 + (8*d[6])/3 + (4*d[10])/3 + (4*d[11])/3 - 
       (173*d[12])/12 - 2*d[14] - (17*d[15])/6 - (8*d[16])/3 - 6*d[17] - 
       12*d[18] + (17*d[19])/6 + (17*d[20])/12 + (41*d[21])/6 + 
       (17*d[22])/6 + (49*d[23])/4 - (109*d[24])/24 - (4*d[26])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     (d[1] + (5*d[2])/3 + d[5] + (13*d[7])/2 - (89*d[8])/6 + (73*d[9])/6 - 
       8*d[10] - (7*d[11])/3 - (83*d[12])/12 - (9*d[13])/2 + d[14] + 
       16*d[16] - (8*d[19])/3 + (131*d[20])/12 - (8*d[21])/3 + (20*d[23])/3 + 
       (175*d[24])/3 - (4*d[27])/3 - (8*d[33])/3 + (8*d[34])/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     ((4*d[2])/3 - (32*d[12])/3 - 2*d[14] + (71*d[20])/3 + (26*d[23])/3 - 
       (26*d[24])/3)*HPL[{1}, 1 - w]^3*\[Zeta][3] + 
     (2*d[2] - 2*d[3] - 6*d[5] - (16*d[6])/3 - 2*d[7] + 3*d[8] - 4*d[9] + 
       (22*d[10])/3 + (13*d[11])/3 - (32*d[12])/3 - (28*d[15])/3 - 
       (50*d[16])/3 - 14*d[18] + (34*d[19])/3 + (19*d[20])/6 + (67*d[21])/3 + 
       (28*d[22])/3 + (3*d[23])/2 - (44*d[24])/3 - (7*d[26])/3 + 3*d[27] + 
       2*d[33] - 2*d[34] + 4*d[36])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      \[Zeta][3] + (2*d[3] + 2*d[4] - 6*d[5] - 2*d[6] + 14*d[7] - 
       (49*d[8])/3 + (17*d[9])/3 + 3*d[10] + (5*d[11])/3 + (7*d[12])/3 - 
       15*d[13] + 2*d[14] + 4*d[15] + 23*d[16] - 4*d[17] - 4*d[18] - 
       (29*d[19])/3 - (65*d[20])/6 - (50*d[21])/3 - 7*d[22] + (13*d[23])/6 + 
       (287*d[24])/6 + 2*d[26] - (13*d[27])/3 - 4*d[30] - 2*d[31] - d[32] - 
       (8*d[33])/3 + (14*d[34])/3)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      \[Zeta][3] + ((-2*d[2])/3 - 2*d[4] + 14*d[5] + 5*d[6] + (5*d[7])/2 - 
       (45*d[8])/2 + (29*d[9])/2 - 26*d[10] + 2*d[11] + (7*d[12])/3 + 
       8*d[13] - 8*d[14] - d[15] + 20*d[16] + 3*d[17] + 7*d[18] - 2*d[19] + 
       (11*d[20])/3 + 2*d[21] + 2*d[22] - (7*d[23])/3 + (437*d[24])/6 - 
       d[26] + d[27] + 4*d[30] - 4*d[33] + 4*d[34])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*\[Zeta][3] + (4*d[2] + 2*d[3] + 2*d[4] - 7*d[5] - 
       (4*d[6])/3 - d[7]/2 + (11*d[8])/2 - d[9]/2 + (25*d[10])/3 - 
       (23*d[11])/3 - (43*d[12])/6 - 4*d[13] + 2*d[14] + (8*d[15])/3 - 
       (74*d[16])/3 + 2*d[17] - 32*d[18] - (2*d[19])/3 + (11*d[20])/3 - 
       (5*d[21])/3 - (8*d[22])/3 - 21*d[23] - (515*d[24])/12 - d[26]/3 - 
       2*d[27] - 4*d[30] + 4*d[33] - 2*d[34])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*\[Zeta][3] + (2*d[2] - 4*d[3] + 2*d[4] + 9*d[5] - 
       d[6] + (21*d[7])/2 - (131*d[8])/6 + (79*d[9])/6 - 16*d[10] + 
       (17*d[11])/3 - (25*d[12])/6 - 2*d[14] + 28*d[16] - (14*d[19])/3 + 
       (11*d[20])/3 - (17*d[21])/3 + (55*d[23])/6 + (127*d[24])/3 + d[26] - 
       d[27]/3 - (14*d[33])/3 + (14*d[34])/3 + 4*d[36])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*\[Zeta][3] + ((-4*d[2])/3 - 2*d[4] + 4*d[5] - 
       5*d[6] - (5*d[7])/2 - (3*d[8])/2 - (3*d[9])/2 - 3*d[10] + 3*d[11] - 
       (41*d[12])/3 + 2*d[13] - 4*d[14] - 11*d[15] + 11*d[16] - 5*d[17] + 
       3*d[18] + 10*d[19] - (25*d[20])/3 + 30*d[21] + 10*d[22] + 
       (41*d[23])/3 + (95*d[24])/6 - d[26] + d[27] + 4*d[30])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*\[Zeta][3] + (2*d[3] - 4*d[4] + 2*d[5] + d[6]/6 + 
       2*d[7] - 3*d[8] + 4*d[9] - (8*d[10])/3 + d[11]/3 - (19*d[12])/6 - 
       (34*d[15])/3 + (19*d[16])/3 + 2*d[17] - 16*d[18] + (28*d[19])/3 + 
       (13*d[20])/6 + (43*d[21])/3 + (28*d[22])/3 + 2*d[23] - (26*d[24])/3 - 
       (7*d[26])/3 - 3*d[27] - 2*d[33] + 2*d[34] - 8*d[36])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*\[Zeta][3] + (4*d[3] - 2*d[4] + 7*d[5] + d[6] + 
       13*d[7] - (34*d[8])/3 + (44*d[9])/3 - 14*d[10] + (26*d[11])/3 + 
       (13*d[12])/3 - 4*d[13] - 2*d[14] + 4*d[15] + 28*d[16] - (26*d[19])/3 + 
       (7*d[20])/6 - (29*d[21])/3 - 4*d[22] + (49*d[23])/6 + (299*d[24])/6 - 
       d[26] - (13*d[27])/3 - (14*d[33])/3 + (14*d[34])/3 - 8*d[36])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][3] + 
     ((4*d[2])/3 - 2*d[5] - 3*d[7] + 5*d[8] - 5*d[9] + 2*d[11] - 
       (23*d[12])/3 - 2*d[13] - 2*d[14] + 6*d[17] + (247*d[20])/6 + 
       (43*d[23])/6 - (83*d[24])/3)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][3] + (2*d[2] - 11*d[5] + 2*d[6] - 3*d[7] - 12*d[8] + 4*d[9] + 
       5*d[10] + 4*d[11] - 4*d[16] - 2*d[19] - 2*d[22] - 2*d[24] + d[27])*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][3] + (2*d[1] + 2*d[2] + 2*d[3] - 4*d[4] - 
       2*d[5] + 2*d[6] + 6*d[9] + 3*d[11] - 2*d[14] + 2*d[15] - 7*d[17] + 
       21*d[18] + 3*d[19] + 2*d[20] - 2*d[21] + d[22] + 2*d[23] - 13*d[24] - 
       2*d[26] + 2*d[31] - d[32] + 2*d[34])*HPL[{0, 0, 1}, 1 - v]*
      \[Zeta][3] + (6*d[3] - 6*d[4] - 7*d[5] - 10*d[6] + 8*d[7] + 11*d[8] - 
       11*d[9] - 11*d[10] - 10*d[11] - 2*d[12] + 20*d[13] - 4*d[14] + 
       4*d[15] - 10*d[16] + 8*d[17] - 24*d[18] + 21*d[20] + 4*d[21] - 
       8*d[22] + 14*d[23] - 2*d[24] - 2*d[26] - 5*d[27] - 4*d[31] - 2*d[32] + 
       8*d[33] - 2*d[34] - 8*d[36])*HPL[{0, 1, 1}, 1 - u]*\[Zeta][3] + 
     (-4*d[2] + 12*d[3] - 8*d[4] - 4*d[6] + 17*d[7] + 23*d[8] - 31*d[9] - 
       27*d[10] - d[11] + 28*d[12] - 2*d[13] + 6*d[14] - 18*d[15] + 
       40*d[16] - 14*d[17] + 18*d[18] + 12*d[19] - 10*d[20] + 10*d[21] + 
       12*d[22] - 2*d[23] - 5*d[24] + 2*d[26] - 6*d[27] - 4*d[31] - 5*d[32] + 
       4*d[34] - 8*d[36])*HPL[{0, 1, 1}, 1 - v]*\[Zeta][3] + 
     (4*d[3] - 4*d[4] + 16*d[5] - 9*d[16] - 4*d[17] + 56*d[18] - 2*d[20] + 
       2*d[21] - 22*d[24] + 2*d[25])*HPL[{1}, 1 - u]*\[Zeta][2]*\[Zeta][3] + 
     (14*d[5] - 18*d[7] - 30*d[8] + 4*d[9] + 2*d[11] + 2*d[21] + 4*d[24] + 
       2*d[25])*HPL[{1}, 1 - v]*\[Zeta][2]*\[Zeta][3] + 
     (8*d[1] + 2*d[3] + 6*d[4] - 16*d[5] + (15*d[16])/2 - 60*d[17] - 
       40*d[18] + d[21] + 37*d[24] - d[25])*HPL[{1}, 1 - u]*\[Zeta][5] + 
     (8*d[1] - 8*d[3] + 8*d[4] - 17*d[5] + 45*d[7] + 51*d[8] - 46*d[9] - 
       47*d[11] + d[21] + 2*d[24] - d[25])*HPL[{1}, 1 - v]*\[Zeta][5]
 

DuvwCoproductEntries[yu] = A1[w, v, u]*d[2] + A7[w, u, v]*d[6] + 
     A2[w, v, u]*d[12] + A7[u, v, w]*d[15] + A4[u, v, w]*(d[13] + d[16]) + 
     A8[u, v, w]*d[17] + A9[u, v, w]*d[18] + A5[u, v, w]*d[20] + 
     A6[u, v, w]*d[21] + A3[u, v, w]*(d[19] + d[22] + d[23]) + 
     A10[u, v, w]*(d[28] + d[29] + d[35]) + A11[u, v, w]*
      (-d[16]/2 + d[19]/2 + d[22]/2 - d[32]/2 + d[34] + 3*d[36]) + 
     ((-7*d[6])/4 + d[23] + d[24])*F1[u, v, w]*HPL[{1}, 1 - u]^2 + 
     (d[3] - d[4] - d[5] - d[8] + d[11]/2 + 2*d[12] + d[15]/2 + d[16] - 
       (3*d[19])/2 - (5*d[22])/2 - d[23] + (5*d[24])/2 - 3*d[36])*G[u, v, w]*
      HPL[{1}, 1 - v] + (-d[6]/4 + d[10] - d[15] + d[19] - (13*d[20])/4 + 
       d[21] + d[22] - (3*d[23])/4 + d[24]/4)*F1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v] + (d[3] - d[4] - d[5] + d[6]/4 - d[8] - d[11] - 
       d[12]/2 - d[15]/2 + d[16] + d[20] + d[21]/2 + 2*d[23] + (29*d[24])/8 - 
       3*d[36])*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + 
     (-d[10] + d[12] + d[15]/2 - d[17]/2 + (3*d[18])/2 - d[19] - d[21] - 
       d[22] - d[23])*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + 
     (d[3] - d[4] - d[5] - d[8] - d[11] + d[14]/2 + d[16] - d[19]/2 + 
       2*d[20] - d[22]/2 + d[23] + (7*d[24])/2 - 3*d[36])*F1[u, v, w]*
      HPL[{1}, 1 - v]^2 + ((7*d[7])/4 + (7*d[8])/4 - (7*d[9])/4 - 
       (5*d[11])/2 - 2*d[12] + 2*d[17] + (5*d[20])/4 - (11*d[23])/8 - 
       d[24]/2)*F1[v, w, u]*HPL[{1}, 1 - v]^2 + 
     (d[10] + (3*d[11])/2 + d[12] + d[17]/2 - (3*d[18])/2 - (13*d[20])/8 + 
       d[21] - d[22] - (3*d[23])/4 - d[24]/4)*F1[w, u, v]*HPL[{1}, 1 - v]^2 + 
     (-d[2] + d[3] - 2*d[4] - d[6]/2 + d[9] + d[11] - 2*d[12] + d[15]/2 + 
       d[16] - (3*d[19])/2 - (5*d[22])/2 - d[23] + (5*d[24])/2 + d[26]/2 - 
       3*d[36])*G[u, v, w]*HPL[{1}, 1 - w] + (-d[2]/2 - d[12])*H1[u, v, w]*
      HPL[{1}, 1 - w] + ((3*d[2])/2 + d[12])*H1[v, w, u]*HPL[{1}, 1 - w] + 
     (-d[2]/2 - d[12])*H1[w, u, v]*HPL[{1}, 1 - w] + 
     (-d[2] - d[15] + d[19] - (13*d[20])/4 + d[21] + d[22] - (3*d[23])/4 + 
       d[24]/4)*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + 
     (d[12] + d[15]/2 - d[17]/2 + (3*d[18])/2 - d[19] - d[21] - d[22] - 
       d[23])*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + 
     (d[3] - d[4] - d[6]/4 + d[9] + d[11] - (3*d[12])/2 - d[15]/2 + d[16] + 
       d[20] + d[21]/2 + 2*d[23] + (29*d[24])/8 - 3*d[36])*F1[w, u, v]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + (2*d[12] - d[13]/2 + d[15] - d[17] + 
       3*d[18] - 2*d[19] - d[20] - 2*d[21] - 2*d[22] - (9*d[23])/4 - d[24] - 
       2*d[30])*F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     (-d[2] + d[10] + (3*d[11])/2 - d[12]/4 + d[15] + d[17]/2 - (7*d[18])/2 - 
       d[19] + (7*d[20])/8 - 2*d[22] - (9*d[23])/4 - (15*d[24])/8)*
      F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     (-d[4] + d[6]/2 - (3*d[7])/4 - (3*d[8])/4 + (3*d[9])/4 - d[10] - 
       d[11]/2 + d[15] + d[17]/2 - (7*d[18])/2 - d[19] + (7*d[20])/8 - 
       2*d[22] - (9*d[23])/4 - (15*d[24])/8 + d[26]/2)*F1[w, u, v]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + (d[3] - d[4] + d[9] + d[11] + 
       d[14]/2 + d[16] - d[19]/2 + 2*d[20] - d[22]/2 + d[23] + (7*d[24])/2 - 
       3*d[36])*F1[u, v, w]*HPL[{1}, 1 - w]^2 + 
     (d[2]/3 - d[4] - d[6]/2 - d[12] + d[17]/2 - (3*d[18])/2 - (13*d[20])/8 + 
       d[21] - d[22] - (3*d[23])/4 - d[24]/4 + d[26]/2)*F1[v, w, u]*
      HPL[{1}, 1 - w]^2 + (d[6] + (15*d[12])/4 + 2*d[17] + (5*d[20])/4 - 
       (11*d[23])/8 - d[24]/2)*F1[w, u, v]*HPL[{1}, 1 - w]^2 - 
     2*d[30]*F1[u, v, w]*HPL[{0, 1}, 1 - u] + 
     (-d[15] + d[19] + (5*d[20])/8 + d[21] + d[22] - (3*d[23])/4 - 
       (15*d[24])/8)*F1[v, w, u]*HPL[{0, 1}, 1 - u] + 
     (-d[15] + d[19] + (5*d[20])/8 + d[21] + d[22] - (3*d[23])/4 - 
       (15*d[24])/8)*F1[w, u, v]*HPL[{0, 1}, 1 - u] - 
     2*d[30]*F1[u, v, w]*HPL[{0, 1}, 1 - v] + 
     (2*d[15] - 2*d[19] - (5*d[20])/4 - 2*d[21] - 2*d[22] + (3*d[23])/2 + 
       (15*d[24])/4)*F1[v, w, u]*HPL[{0, 1}, 1 - v] + 
     (d[15] - d[19] - (5*d[20])/8 - d[21] - d[22] + (3*d[23])/4 + 
       (15*d[24])/8)*F1[w, u, v]*HPL[{0, 1}, 1 - v] - 
     2*d[30]*F1[u, v, w]*HPL[{0, 1}, 1 - w] + 
     (d[15] - d[19] - (5*d[20])/8 - d[21] - d[22] + (3*d[23])/4 + 
       (15*d[24])/8)*F1[v, w, u]*HPL[{0, 1}, 1 - w] + 
     (2*d[15] - 2*d[19] - (5*d[20])/4 - 2*d[21] - 2*d[22] + (3*d[23])/2 + 
       (15*d[24])/4)*F1[w, u, v]*HPL[{0, 1}, 1 - w] + 
     (d[2]/8 - (3*d[12])/4)*HPL[{1}, 1 - w]*J1[u, v, w] + 
     ((5*d[2])/8 + (3*d[12])/4)*HPL[{1}, 1 - w]*J1[v, w, u] + 
     (d[2]/8 - (3*d[12])/4)*HPL[{1}, 1 - w]*J1[w, u, v] + 
     (d[10] - d[12] - d[15]/2 + d[17]/2 - (3*d[18])/2 + d[19] + d[21] + 
       d[22] + d[23])*HPL[{1}, 1 - v]*K1[u, v, w] + 
     (-d[3] + d[4] - d[9] - d[11] - d[12] - d[16] + d[19]/2 + d[22]/2 - 
       (5*d[24])/2 + 3*d[36])*HPL[{1}, 1 - w]*K1[u, v, w] + 
     (-d[3] + d[4] + d[5] + d[8] + d[11] - d[16] + d[19]/2 + d[22]/2 - 
       (5*d[24])/2 + 3*d[36])*HPL[{1}, 1 - v]*K1[v, w, u] + 
     (d[2] - d[15]/2 + d[17]/2 - (3*d[18])/2 + d[19] + d[21] + d[22] + d[23])*
      HPL[{1}, 1 - w]*K1[v, w, u] + (-d[10] - (3*d[11])/2 - d[12] - d[17]/2 + 
       (3*d[18])/2 - d[21] + d[22])*HPL[{1}, 1 - v]*K1[w, u, v] + 
     (d[4] + d[6]/2 - d[17]/2 + (3*d[18])/2 - d[21] + d[22] - d[26]/2)*
      HPL[{1}, 1 - w]*K1[w, u, v] + (d[3] - d[4] - d[5] - d[8] - d[11] + 
       d[16] - d[19]/2 - d[22]/2 + (5*d[24])/2 - 3*d[36])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*Phi6[u, v, w] + ((-13*d[20])/8 - (3*d[23])/4 - 
       d[24]/4)*HPL[{1}, 1 - v]^3*Phi6[u, v, w] - 
     (d[2]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Phi6[u, v, w])/2 + 
     (-d[10] + 2*d[12] + 2*d[15] - d[17] + 3*d[18] - 3*d[19] + 2*d[20] - 
       3*d[21] - 3*d[22] + (9*d[24])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Phi6[u, v, w] + (-d[2]/2 + d[10] + (3*d[11])/2 + 
       d[12] + d[17]/2 - (3*d[18])/2 + d[21] - d[22] - (3*d[23])/8 + d[24]/2)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Phi6[u, v, w] + 
     (d[3] - d[4] + d[9] + d[11] + d[16] - d[19]/2 - d[22]/2 + (5*d[24])/2 - 
       3*d[36])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Phi6[u, v, w] + 
     (-d[4] - d[6]/2 - d[12] + d[17]/2 - (3*d[18])/2 + d[21] - d[22] - 
       (3*d[23])/8 + d[24]/2 + d[26]/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      Phi6[u, v, w] + (d[12] - (13*d[20])/8 - (3*d[23])/4 - d[24]/4)*
      HPL[{1}, 1 - w]^3*Phi6[u, v, w] + (-d[15] + d[19] + (5*d[20])/8 + 
       d[21] + d[22] - (3*d[23])/4 - (15*d[24])/8)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*Phi6[u, v, w] + (-d[15] + d[19] + (5*d[20])/8 + 
       d[21] + d[22] - (3*d[23])/4 - (15*d[24])/8)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*Phi6[u, v, w] + (d[15] - d[19] - (5*d[20])/8 - 
       d[21] - d[22] + (3*d[23])/4 + (15*d[24])/8)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w] + (d[15] - d[19] - (5*d[20])/8 - 
       d[21] - d[22] + (3*d[23])/4 + (15*d[24])/8)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*Phi6[u, v, w] + (-2*d[15] + 2*d[19] + (5*d[20])/4 + 
       2*d[21] + 2*d[22] - (3*d[23])/2 - (15*d[24])/4)*HPL[{0, 0, 1}, 1 - v]*
      Phi6[u, v, w] + (-2*d[15] + 2*d[19] + (5*d[20])/4 + 2*d[21] + 2*d[22] - 
       (3*d[23])/2 - (15*d[24])/4)*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w] + 
     (2*d[15] - 2*d[19] - (5*d[20])/4 - 2*d[21] - 2*d[22] + (3*d[23])/2 + 
       (15*d[24])/4)*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w] + 
     (2*d[15] - 2*d[19] - (5*d[20])/4 - 2*d[21] - 2*d[22] + (3*d[23])/2 + 
       (15*d[24])/4)*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w] + 
     (2*d[3] - 2*d[4] - 2*d[5] - 2*d[8] + d[11] + 4*d[12] + d[15] + 2*d[16] - 
       3*d[19] - 5*d[22] - 2*d[23] + 5*d[24] - 6*d[36])*HPL[{1}, 1 - v]*
      Phi6[u, v, w]*\[Zeta][2] + (3*d[2] + 2*d[3] - 4*d[4] - d[6] + 2*d[9] + 
       2*d[11] - 2*d[12] + d[15] + 2*d[16] - 3*d[19] - 5*d[22] - 2*d[23] + 
       5*d[24] + d[26] - 6*d[36])*HPL[{1}, 1 - w]*Phi6[u, v, w]*\[Zeta][2]
 

DuvwCoproductEntries[yv] = A1[w, v, u]*d[2] + A1[u, w, v]*d[3] + 
     A3[w, u, v]*d[7] + A6[w, u, v]*d[8] + A2[v, u, w]*d[9] + 
     A2[u, w, v]*d[10] + A2[w, v, u]*(d[11] + d[12]) + A5[u, v, w]*d[14] + 
     A1[u, v, w]*d[22] + A3[u, v, w]*d[23] + A4[u, v, w]*(d[13] - d[24]) + 
     A2[u, v, w]*d[24] + A10[u, v, w]*d[28] + A10[v, w, u]*d[35] + 
     A11[u, v, w]*(-d[3] + d[4] - d[5]/2 - d[7]/2 - (3*d[8])/2 - d[10]/2 - 
       d[11]/2 + d[24] + 3*d[36]) + (d[3] - d[4] - d[5] - d[8] + d[11]/2 + 
       2*d[12] + d[15]/2 + d[16] - (3*d[19])/2 - (5*d[22])/2 - d[23] + 
       (5*d[24])/2 - 3*d[36])*G[u, v, w]*HPL[{1}, 1 - u] + 
     ((-7*d[6])/4 + 2*d[10] - (13*d[20])/4 + (5*d[23])/2 + (21*d[24])/4)*
      F1[u, v, w]*HPL[{1}, 1 - u]^2 + (d[3] - d[4] - d[5] - d[8] - d[11] + 
       d[12]/2 + d[16] + 2*d[17] - 2*d[18] - d[19]/2 - d[22]/2 + 
       (7*d[24])/2 - 3*d[36])*F1[v, w, u]*HPL[{1}, 1 - u]^2 + 
     (-d[10] + d[12] + d[15]/2 - d[17]/2 + (3*d[18])/2 - d[19] - d[21] - 
       d[22] - d[23])*F1[w, u, v]*HPL[{1}, 1 - u]^2 + 
     (d[3] - d[4] - d[5] - d[7]/4 - (5*d[8])/4 + d[9]/4 - d[10] - 
       (3*d[11])/2 - d[12]/2 - d[15]/2 + d[16] - d[20]/4 + d[21]/2 - 
       (3*d[23])/4 + (15*d[24])/8 - 3*d[36])*F1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v] + (d[7]/4 + d[8]/4 - d[9]/4 - (3*d[11])/2 - 2*d[12] + 
       d[15] + 2*d[18] - d[19] - d[21] - d[22] + 2*d[24])*F1[v, w, u]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + (d[10] + (3*d[11])/2 + d[12] + 
       d[17]/2 - (3*d[18])/2 + d[21] - d[22])*F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v] + (d[14]/2 + (13*d[20])/8 + (3*d[23])/4 + d[24]/4)*
      F1[u, v, w]*HPL[{1}, 1 - v]^2 + ((7*d[7])/4 + (7*d[8])/4 - (7*d[9])/4 - 
       d[11]/2 - d[12]/2 + (13*d[20])/8 + (7*d[23])/8 - (5*d[24])/4)*
      F1[v, w, u]*HPL[{1}, 1 - v]^2 + ((-13*d[20])/8 - (3*d[23])/4 - d[24]/4)*
      F1[w, u, v]*HPL[{1}, 1 - v]^2 + (-d[2] + d[3] - d[4] + d[7] + d[8] - 
       d[9] + d[10]/2 + d[11] + d[12] - 2*d[13] + d[16]/2 - d[19]/2 + d[21] - 
       (3*d[22])/2 - d[23] + 3*d[24] - d[28]/2 + d[33] - d[34] - 3*d[36])*
      G[u, v, w]*HPL[{1}, 1 - w] + (-d[13] - d[23]/2 + d[24])*H1[u, v, w]*
      HPL[{1}, 1 - w] + (-d[13] - d[23]/2 + d[24])*H1[v, w, u]*
      HPL[{1}, 1 - w] + (d[13] + (3*d[23])/2 - d[24])*H1[w, u, v]*
      HPL[{1}, 1 - w] + (d[7]/4 + d[8]/4 - d[9]/4 + d[10] + d[11]/2 + 
       (5*d[12])/4 - d[17]/2 + (3*d[18])/2 - d[19]/2 - 3*d[20] - d[21]/2 - 
       d[22]/2 - (9*d[23])/4 - (17*d[24])/8 - 2*d[30])*F1[u, v, w]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + (-d[2] + 2*d[10] + (3*d[11])/2 - 
       d[12]/4 + d[15]/2 - (3*d[17])/2 + d[18]/2 - d[19]/2 + (13*d[20])/8 + 
       d[21]/2 - (3*d[22])/2 + d[23]/4)*F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w] + ((3*d[6])/4 - d[7] - d[8] + d[9] - d[10]/2 - d[11] - 
       d[12] + d[15]/2 - 2*d[18] - d[19]/2 + (13*d[20])/8 - d[21]/2 - 
       d[22]/2 + d[23]/4 + d[24]/4)*F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w] + (-d[2] + d[10] - d[13]/2 + 2*d[24])*F1[u, v, w]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + (-d[7]/4 + (7*d[8])/4 - (7*d[9])/4 - 
       d[10] - d[11]/2 - d[12]/4 - (5*d[23])/4 - (7*d[24])/2)*F1[v, w, u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + (d[3] - d[4] + (5*d[7])/4 + 
       (5*d[8])/4 - (5*d[9])/4 - d[10] + (3*d[11])/2 + (3*d[12])/2 + 
       d[16]/2 - d[19]/2 + d[20]/4 + d[21] - (3*d[22])/2 - d[23]/2 - 
       (3*d[24])/2 + d[33] - d[34] - 3*d[36])*F1[w, u, v]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w] + (-d[10]/2 + d[14]/2 + (13*d[20])/8 + (3*d[23])/4 + 
       (7*d[24])/4)*F1[u, v, w]*HPL[{1}, 1 - w]^2 + 
     (d[2]/3 + d[3] - d[4] + d[7] + d[8] - d[9] + d[11] + 2*d[12] + d[16]/2 - 
       d[19]/2 - (13*d[20])/4 + d[21] - (3*d[22])/2 - (3*d[23])/2 - 
       (5*d[24])/2 + d[33] - d[34] - 3*d[36])*F1[v, w, u]*HPL[{1}, 1 - w]^2 + 
     ((-5*d[7])/4 + (3*d[8])/4 - (3*d[9])/4 + d[11]/2 - d[12]/4 - 
       (7*d[23])/8 - (11*d[24])/2)*F1[w, u, v]*HPL[{1}, 1 - w]^2 - 
     2*d[30]*F1[u, v, w]*HPL[{0, 1}, 1 - u] + 
     (-d[15] + d[19] + (5*d[20])/8 + d[21] + d[22] - (3*d[23])/4 - 
       (15*d[24])/8)*F1[v, w, u]*HPL[{0, 1}, 1 - u] + 
     (-d[15] + d[19] + (5*d[20])/8 + d[21] + d[22] - (3*d[23])/4 - 
       (15*d[24])/8)*F1[w, u, v]*HPL[{0, 1}, 1 - u] - 
     2*d[30]*F1[u, v, w]*HPL[{0, 1}, 1 - v] + 
     (d[15] - d[19] - (5*d[20])/8 - d[21] - d[22] + (3*d[23])/4 + 
       (15*d[24])/8)*F1[w, u, v]*HPL[{0, 1}, 1 - v] - 
     2*d[30]*F1[u, v, w]*HPL[{0, 1}, 1 - w] + 
     (d[15] - d[19] - (5*d[20])/8 - d[21] - d[22] + (3*d[23])/4 + 
       (15*d[24])/8)*F1[v, w, u]*HPL[{0, 1}, 1 - w] + 
     (-2*d[15] + 2*d[19] + (5*d[20])/4 + 2*d[21] + 2*d[22] - (3*d[23])/2 - 
       (15*d[24])/4)*F1[w, u, v]*HPL[{0, 1}, 1 - w] + 
     ((-3*d[13])/4 + d[23]/8 + (3*d[24])/4)*HPL[{1}, 1 - w]*J1[u, v, w] + 
     ((-3*d[13])/4 + d[23]/8 + (3*d[24])/4)*HPL[{1}, 1 - w]*J1[v, w, u] + 
     ((3*d[13])/4 + (5*d[23])/8 - (3*d[24])/4)*HPL[{1}, 1 - w]*J1[w, u, v] + 
     (d[10] - d[12] - d[15]/2 + d[17]/2 - (3*d[18])/2 + d[19] + d[21] + 
       d[22] + d[23])*HPL[{1}, 1 - u]*K1[u, v, w] + 
     (d[10]/2 - d[13] - d[24]/2)*HPL[{1}, 1 - w]*K1[u, v, w] + 
     (-d[3] + d[4] + d[5] + d[8] + d[11] - d[16] + d[19]/2 + d[22]/2 - 
       (5*d[24])/2 + 3*d[36])*HPL[{1}, 1 - u]*K1[v, w, u] + 
     (d[2] - d[10] - d[13] - d[24]/2)*HPL[{1}, 1 - w]*K1[v, w, u] + 
     (-d[10] - (3*d[11])/2 - d[12] - d[17]/2 + (3*d[18])/2 - d[21] + d[22])*
      HPL[{1}, 1 - u]*K1[w, u, v] + (-d[3] + d[4] - d[7] - d[8] + d[9] - 
       d[11] - d[12] + d[13] - d[16]/2 + d[19]/2 - d[21] + (3*d[22])/2 + 
       d[23] + d[24] - d[33] + d[34] + 3*d[36])*HPL[{1}, 1 - w]*K1[w, u, v] + 
     (d[3] - d[4] - d[5] - d[8] - d[11] + d[16] - d[19]/2 - d[22]/2 + 
       (5*d[24])/2 - 3*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      Phi6[u, v, w] + ((-13*d[20])/8 - (3*d[23])/4 - d[24]/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*Phi6[u, v, w] + (-d[10] + d[12] + d[13] + d[15] - 
       d[17]/2 + (3*d[18])/2 - (3*d[19])/2 + d[20] - (3*d[21])/2 - 
       (3*d[22])/2 + d[24]/8)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      Phi6[u, v, w] + (-d[2] + 2*d[10] + (3*d[11])/2 + d[12] - d[15]/2 + 
       d[17]/2 - (3*d[18])/2 + d[19]/2 - d[20] + (3*d[21])/2 - d[22]/2 - 
       (5*d[23])/4 + (7*d[24])/8)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Phi6[u, v, w] + ((13*d[20])/8 + d[23]/4 + d[24]/4)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Phi6[u, v, w] + 
     (-d[10]/2 - d[15]/2 + d[19]/2 - d[20] + d[21]/2 + d[22]/2 - 
       (9*d[23])/8 + (7*d[24])/8)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      Phi6[u, v, w] + (d[3] - d[4] + d[7] + d[8] - d[9] + d[11] + d[12] + 
       d[16]/2 - d[19]/2 + d[21] - (3*d[22])/2 - 2*d[24] + d[33] - d[34] - 
       3*d[36])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Phi6[u, v, w] + 
     (d[14]/2 + (13*d[20])/8 + d[23]/4 + d[24]/4)*HPL[{1}, 1 - w]^3*
      Phi6[u, v, w] + (-d[15] + d[19] + (5*d[20])/8 + d[21] + d[22] - 
       (3*d[23])/4 - (15*d[24])/8)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      Phi6[u, v, w] + (d[15] - d[19] - (5*d[20])/8 - d[21] - d[22] + 
       (3*d[23])/4 + (15*d[24])/8)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      Phi6[u, v, w] + (2*d[15] - 2*d[19] - (5*d[20])/4 - 2*d[21] - 2*d[22] + 
       (3*d[23])/2 + (15*d[24])/4)*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w] + 
     (-2*d[15] + 2*d[19] + (5*d[20])/4 + 2*d[21] + 2*d[22] - (3*d[23])/2 - 
       (15*d[24])/4)*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w] + 
     (2*d[3] - 2*d[4] - 2*d[5] - 2*d[8] + d[11] + 4*d[12] + d[15] + 2*d[16] - 
       3*d[19] - 5*d[22] - 2*d[23] + 5*d[24] - 6*d[36])*HPL[{1}, 1 - u]*
      Phi6[u, v, w]*\[Zeta][2] + (-2*d[2] + 2*d[3] - 2*d[4] + 2*d[7] + 
       2*d[8] - 2*d[9] + d[10] + 2*d[11] + 2*d[12] - 2*d[13] + d[16] - 
       d[19] + 2*d[21] - 3*d[22] + 3*d[23] + 4*d[24] - 4*d[30] + 2*d[33] - 
       2*d[34] - 6*d[36])*HPL[{1}, 1 - w]*Phi6[u, v, w]*\[Zeta][2]
 

DuvwCoproductEntries[yw] = A1[w, v, u]*(d[1] + d[2]) + A2[w, v, u]*d[12] + 
     A5[u, v, w]*d[14] + A1[u, w, v]*(d[4] + d[22]) + A3[u, v, w]*d[23] + 
     A4[u, v, w]*(d[5] + d[13] - d[24]) + A2[u, w, v]*d[24] + 
     A10[v, w, u]*d[25] + A10[u, v, w]*d[28] + A10[w, u, v]*d[35] + 
     A11[u, v, w]*(-d[3] + d[4] - d[10]/2 + d[24] + 3*d[36]) + 
     (-d[2] + d[3] - 2*d[4] - d[6]/2 + d[9] + d[11] - 2*d[12] + d[15]/2 + 
       d[16] - (3*d[19])/2 - (5*d[22])/2 - d[23] + (5*d[24])/2 + d[26]/2 - 
       3*d[36])*G[u, v, w]*HPL[{1}, 1 - u] + (-d[2]/2 - d[12])*H1[u, v, w]*
      HPL[{1}, 1 - u] + ((3*d[2])/2 + d[12])*H1[v, w, u]*HPL[{1}, 1 - u] + 
     (-d[2]/2 - d[12])*H1[w, u, v]*HPL[{1}, 1 - u] + 
     (-d[2] - (7*d[6])/4 - (13*d[20])/4 + (5*d[23])/2 + (21*d[24])/4)*
      F1[u, v, w]*HPL[{1}, 1 - u]^2 + (d[12] + d[15]/2 - d[17]/2 + 
       (3*d[18])/2 - d[19] - d[21] - d[22] - d[23])*F1[v, w, u]*
      HPL[{1}, 1 - u]^2 + (d[3] - d[4] - d[6] + d[9] + d[11] + d[12]/2 + 
       d[16] + 2*d[17] - 2*d[18] - d[19]/2 - d[22]/2 + (7*d[24])/2 - 3*d[36])*
      F1[w, u, v]*HPL[{1}, 1 - u]^2 + (-d[2] + d[3] - d[4] + d[7] + d[8] - 
       d[9] + d[10]/2 + d[11] + d[12] - 2*d[13] + d[16]/2 - d[19]/2 + d[21] - 
       (3*d[22])/2 - d[23] + 3*d[24] - d[28]/2 + d[33] - d[34] - 3*d[36])*
      G[u, v, w]*HPL[{1}, 1 - v] + (-d[13] - d[23]/2 + d[24])*H1[u, v, w]*
      HPL[{1}, 1 - v] + (-d[13] - d[23]/2 + d[24])*H1[v, w, u]*
      HPL[{1}, 1 - v] + (d[13] + (3*d[23])/2 - d[24])*H1[w, u, v]*
      HPL[{1}, 1 - v] + (d[10] + d[12] - d[17]/2 + (3*d[18])/2 - d[19]/2 - 
       3*d[20] - d[21]/2 - d[22]/2 - (9*d[23])/4 - (17*d[24])/8 - 2*d[30])*
      F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + 
     (-2*d[2] + d[6]/4 + d[10] - 2*d[12] + d[15]/2 - 2*d[18] - d[19]/2 + 
       (13*d[20])/8 - d[21]/2 - d[22]/2 + d[23]/4 + d[24]/4)*F1[v, w, u]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + (-d[4] + d[6]/4 - (3*d[7])/4 - 
       (3*d[8])/4 + (3*d[9])/4 - d[10]/2 - d[11]/2 - 2*d[12] + d[15]/2 - 
       (3*d[17])/2 + d[18]/2 - d[19]/2 + (13*d[20])/8 + d[21]/2 - 
       (3*d[22])/2 + d[23]/4 + d[26]/2)*F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v] + (-d[2] + d[10] + d[14]/2 + (13*d[20])/8 + 
       (3*d[23])/4 + (7*d[24])/4)*F1[u, v, w]*HPL[{1}, 1 - v]^2 + 
     ((3*d[7])/2 + (7*d[8])/2 - (7*d[9])/2 - 2*d[10] - d[11] - (7*d[23])/8 - 
       (11*d[24])/2)*F1[v, w, u]*HPL[{1}, 1 - v]^2 + 
     (d[3] - d[4] + 2*d[7] + 2*d[8] - 2*d[9] + 2*d[11] + 2*d[12] + d[16]/2 - 
       d[19]/2 - (13*d[20])/4 + d[21] - (3*d[22])/2 - (3*d[23])/2 - 
       (5*d[24])/2 + d[33] - d[34] - 3*d[36])*F1[w, u, v]*HPL[{1}, 1 - v]^2 + 
     (d[3] - d[4] + d[9] + d[11] - d[12]/4 - d[15]/2 + d[16] - d[20]/4 + 
       d[21]/2 - (3*d[23])/4 + (15*d[24])/8 - 3*d[36])*F1[u, v, w]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + (-d[4] - d[6]/2 - d[12] + d[17]/2 - 
       (3*d[18])/2 + d[21] - d[22] + d[26]/2)*F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w] + ((7*d[6])/4 + (11*d[12])/4 + d[15] + 2*d[18] - 
       d[19] - d[21] - d[22] + 2*d[24])*F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w] + (-d[10]/2 - d[13]/2 + 2*d[24])*F1[u, v, w]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + (d[3] - d[4] + d[7] + d[8] - d[9] + 
       d[11] + (5*d[12])/4 + d[16]/2 - d[19]/2 + d[20]/4 + d[21] - 
       (3*d[22])/2 - d[23]/2 - (3*d[24])/2 + d[33] - d[34] - 3*d[36])*
      F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     (-2*d[7] - (5*d[23])/4 - (7*d[24])/2)*F1[w, u, v]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w] + (d[14]/2 + (13*d[20])/8 + (3*d[23])/4 + d[24]/4)*
      F1[u, v, w]*HPL[{1}, 1 - w]^2 + (d[2]/3 - (13*d[20])/8 - (3*d[23])/4 - 
       d[24]/4)*F1[v, w, u]*HPL[{1}, 1 - w]^2 + 
     ((-3*d[12])/4 + (13*d[20])/8 + (7*d[23])/8 - (5*d[24])/4)*F1[w, u, v]*
      HPL[{1}, 1 - w]^2 - 2*d[30]*F1[u, v, w]*HPL[{0, 1}, 1 - u] + 
     (-d[15] + d[19] + (5*d[20])/8 + d[21] + d[22] - (3*d[23])/4 - 
       (15*d[24])/8)*F1[v, w, u]*HPL[{0, 1}, 1 - u] + 
     (-d[15] + d[19] + (5*d[20])/8 + d[21] + d[22] - (3*d[23])/4 - 
       (15*d[24])/8)*F1[w, u, v]*HPL[{0, 1}, 1 - u] - 
     2*d[30]*F1[u, v, w]*HPL[{0, 1}, 1 - v] + 
     (-2*d[15] + 2*d[19] + (5*d[20])/4 + 2*d[21] + 2*d[22] - (3*d[23])/2 - 
       (15*d[24])/4)*F1[v, w, u]*HPL[{0, 1}, 1 - v] + 
     (d[15] - d[19] - (5*d[20])/8 - d[21] - d[22] + (3*d[23])/4 + 
       (15*d[24])/8)*F1[w, u, v]*HPL[{0, 1}, 1 - v] - 
     2*d[30]*F1[u, v, w]*HPL[{0, 1}, 1 - w] + 
     (d[15] - d[19] - (5*d[20])/8 - d[21] - d[22] + (3*d[23])/4 + 
       (15*d[24])/8)*F1[v, w, u]*HPL[{0, 1}, 1 - w] + 
     (d[2]/8 - (3*d[12])/4)*HPL[{1}, 1 - u]*J1[u, v, w] + 
     ((-3*d[13])/4 + d[23]/8 + (3*d[24])/4)*HPL[{1}, 1 - v]*J1[u, v, w] + 
     ((5*d[2])/8 + (3*d[12])/4)*HPL[{1}, 1 - u]*J1[v, w, u] + 
     ((-3*d[13])/4 + d[23]/8 + (3*d[24])/4)*HPL[{1}, 1 - v]*J1[v, w, u] + 
     (d[2]/8 - (3*d[12])/4)*HPL[{1}, 1 - u]*J1[w, u, v] + 
     ((3*d[13])/4 + (5*d[23])/8 - (3*d[24])/4)*HPL[{1}, 1 - v]*J1[w, u, v] + 
     (-d[3] + d[4] - d[9] - d[11] - d[12] - d[16] + d[19]/2 + d[22]/2 - 
       (5*d[24])/2 + 3*d[36])*HPL[{1}, 1 - u]*K1[u, v, w] + 
     (d[10]/2 - d[13] - d[24]/2)*HPL[{1}, 1 - v]*K1[u, v, w] + 
     (d[2] - d[15]/2 + d[17]/2 - (3*d[18])/2 + d[19] + d[21] + d[22] + d[23])*
      HPL[{1}, 1 - u]*K1[v, w, u] + (d[2] - d[10] - d[13] - d[24]/2)*
      HPL[{1}, 1 - v]*K1[v, w, u] + (d[4] + d[6]/2 - d[17]/2 + (3*d[18])/2 - 
       d[21] + d[22] - d[26]/2)*HPL[{1}, 1 - u]*K1[w, u, v] + 
     (-d[3] + d[4] - d[7] - d[8] + d[9] - d[11] - d[12] + d[13] - d[16]/2 + 
       d[19]/2 - d[21] + (3*d[22])/2 + d[23] + d[24] - d[33] + d[34] + 
       3*d[36])*HPL[{1}, 1 - v]*K1[w, u, v] - 
     (d[2]*HPL[{1}, 1 - u]^3*Phi6[u, v, w])/2 + 
     (d[12] + d[13] + d[15] - d[17]/2 + (3*d[18])/2 - (3*d[19])/2 + d[20] - 
       (3*d[21])/2 - (3*d[22])/2 + d[24]/8)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      Phi6[u, v, w] + ((-3*d[2])/2 + d[10] - d[15]/2 + d[19]/2 - d[20] + 
       d[21]/2 + d[22]/2 - (9*d[23])/8 + (7*d[24])/8)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*Phi6[u, v, w] + (d[14]/2 + (13*d[20])/8 + d[23]/4 + 
       d[24]/4)*HPL[{1}, 1 - v]^3*Phi6[u, v, w] + 
     (d[3] - d[4] + d[9] + d[11] + d[16] - d[19]/2 - d[22]/2 + (5*d[24])/2 - 
       3*d[36])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Phi6[u, v, w] + 
     (-d[4] - d[6]/2 - d[10]/2 - d[12] - d[15]/2 + d[17]/2 - (3*d[18])/2 + 
       d[19]/2 - d[20] + (3*d[21])/2 - d[22]/2 - (5*d[23])/4 + (7*d[24])/8 + 
       d[26]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Phi6[u, v, w] + (d[3] - d[4] + d[7] + d[8] - d[9] + d[11] + d[12] + 
       d[16]/2 - d[19]/2 + d[21] - (3*d[22])/2 - 2*d[24] + d[33] - d[34] - 
       3*d[36])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Phi6[u, v, w] + 
     (d[12] - (13*d[20])/8 - (3*d[23])/4 - d[24]/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*Phi6[u, v, w] + ((13*d[20])/8 + d[23]/4 + d[24]/4)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Phi6[u, v, w] + 
     (-d[15] + d[19] + (5*d[20])/8 + d[21] + d[22] - (3*d[23])/4 - 
       (15*d[24])/8)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w] + 
     (d[15] - d[19] - (5*d[20])/8 - d[21] - d[22] + (3*d[23])/4 + 
       (15*d[24])/8)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w] + 
     (2*d[15] - 2*d[19] - (5*d[20])/4 - 2*d[21] - 2*d[22] + (3*d[23])/2 + 
       (15*d[24])/4)*HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w] + 
     (-2*d[15] + 2*d[19] + (5*d[20])/4 + 2*d[21] + 2*d[22] - (3*d[23])/2 - 
       (15*d[24])/4)*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w] + 
     (3*d[2] + 2*d[3] - 4*d[4] - d[6] + 2*d[9] + 2*d[11] - 2*d[12] + d[15] + 
       2*d[16] - 3*d[19] - 5*d[22] - 2*d[23] + 5*d[24] + d[26] - 6*d[36])*
      HPL[{1}, 1 - u]*Phi6[u, v, w]*\[Zeta][2] + 
     (-2*d[2] + 2*d[3] - 2*d[4] + 2*d[7] + 2*d[8] - 2*d[9] + d[10] + 
       2*d[11] + 2*d[12] - 2*d[13] + d[16] - d[19] + 2*d[21] - 3*d[22] + 
       3*d[23] + 4*d[24] - 4*d[30] + 2*d[33] - 2*d[34] - 6*d[36])*
      HPL[{1}, 1 - v]*Phi6[u, v, w]*\[Zeta][2]