(****************************************************************)
(*  This file contains expressions for the nine coproduct       *)
(*  entries of the complete basis of parity odd weight 7        *)
(*  hexagon functions C1[u,v,w], ... , C28[u,v,w].              *)
(*                                                              *)
(*  The coproduct entries of the Nth basis function CN[u,v,w]   *)
(*  can be extracted from the provided expressions by isolating *)
(*  the coefficient of c[n] in each expression. For instance,   *)
(*  the w coproduct entry of C1[u,v,w], denoted by              *)
(*  C1[u,v,w]^w, can be extracted in Mathematica using          *)
(*                                                              *)
(*       CuvwCoproductEntries[w]/.c[1]->1/.c[_]->0              *)
(*                                                              *)
(****************************************************************)


CuvwCoproductEntries[1 - u] = -(A2[v, w, u]*c[8])/2 - (A2[w, v, u]*c[8])/2 + 
     A4[v, w, u]*c[8] + A4[w, u, v]*c[8] + A1[w, v, u]*
      ((2*c[3])/3 - (2*c[10])/3) + A3[w, u, v]*((-2*c[3])/3 + (2*c[10])/3) + 
     A1[w, u, v]*(c[3]/3 + (2*c[10])/3) + (2*A1[v, u, w]*c[10])/3 - 
     (2*A1[v, w, u]*c[10])/3 + (2*A3[v, w, u]*c[10])/3 + 
     A4[u, v, w]*(-c[3] - 2*c[5] + 2*c[10]) + A2[u, v, w]*c[11] + 
     A1[u, w, v]*c[13] + A7[v, w, u]*c[14] + A8[u, v, w]*c[21] + 
     A9[u, v, w]*c[23] + A7[u, v, w]*c[24] + A6[v, w, u]*c[25] + 
     A6[w, u, v]*(-c[1] + c[11] + c[25]) + A10[u, v, w]*
      (5*c[1] + (2*c[3])/3 + 2*c[6] - 2*c[8] - 6*c[9] - (4*c[10])/3 + 
       2*c[12] - 2*c[14] - 2*c[18] - 2*c[24] - 11*c[26]) + 
     A6[u, v, w]*(2*c[6] - c[8] + 2*c[9] + c[25] - c[26]) + 
     A10[w, u, v]*(6*c[2] + (10*c[3])/3 - 2*c[6] - 2*c[8] - 3*c[9] + 
       2*c[12] - 2*c[14] + c[25] - c[26]) + A10[v, w, u]*
      (-6*c[2] - (10*c[3])/3 - 2*c[6] - 2*c[8] - 3*c[9] - 2*c[12] + 2*c[14] + 
       c[25] - c[26]) + A2[w, u, v]*c[26] + A2[v, u, w]*(-c[1] + c[26]) + 
     A11[u, v, w]*(c[3] - 2*c[7] - 2*c[10] - 2*c[20] - c[25] + c[26]) + 
     A3[u, v, w]*(-2*c[1] - 2*c[6] + 2*c[26]) + 
     (-4*c[1] - 2*c[2] + (28*c[3])/3 + 24*c[5] - 22*c[6] - c[7] - 78*c[8] + 
       34*c[9] + (25*c[10])/3 - 3*c[12] + c[13] - 7*c[15] + c[21] - 
       10*c[22] - 11*c[23] - 7*c[24] + 19*c[25] - 6*c[26])*G[u, v, w]*
      HPL[{1}, 1 - u] + ((-15*c[1])/4 - (13*c[2])/2 - 2*c[3] - 3*c[6] + 
       (3*c[7])/2 - 3*c[8] + 7*c[9] + (31*c[10])/6 - c[12] + c[13]/2 + 
       (3*c[14])/2 - 2*c[15] - c[19]/2 - c[22] - c[23] - c[24] - c[25] + 
       (15*c[26])/4)*H1[u, v, w]*HPL[{1}, 1 - u] + 
     ((-3*c[1])/4 + (11*c[2])/2 - (2*c[3])/3 - 3*c[6] + (3*c[7])/2 - 3*c[8] + 
       7*c[9] + (31*c[10])/6 - c[12] + c[13]/2 + (3*c[14])/2 - c[19]/2 - 
       c[22] - c[23] - c[24] - c[25] + (15*c[26])/4)*H1[v, w, u]*
      HPL[{1}, 1 - u] + ((9*c[1])/4 - (5*c[2])/2 + (10*c[3])/3 + 6*c[5] + 
       2*c[6] - c[7]/2 - 6*c[8] - 10*c[9] - (49*c[10])/6 + c[12] - 
       (3*c[13])/2 - (5*c[14])/2 + 2*c[15] + (3*c[19])/2 + c[22] - c[23] + 
       8*c[25] - (35*c[26])/4)*H1[w, u, v]*HPL[{1}, 1 - u] + 
     ((7*c[1])/2 + (11*c[3])/3 + c[6] - 2*c[7] - 8*c[8] - 6*c[9] - 
       (22*c[10])/3 + 2*c[12] - 3*c[14] - c[15] + 2*c[23] + c[24] + c[25] - 
       (11*c[26])/2)*F1[u, v, w]*HPL[{1}, 1 - u]^2 + 
     (3*c[2] + (2*c[3])/3 - 8*c[8] - 2*c[9] + c[12] - c[14] + c[21] - 
       2*c[23] + 2*c[25] - 2*c[26])*F1[v, w, u]*HPL[{1}, 1 - u]^2 + 
     (-c[2] - (2*c[3])/3 - 8*c[8] - 2*c[9] - c[12] + c[14] + c[21] - 
       2*c[23] + 2*c[25] - 2*c[26])*F1[w, u, v]*HPL[{1}, 1 - u]^2 + 
     ((-3*c[1])/2 - (2*c[3])/3 + 2*c[12] - 2*c[14] - c[15])*G[u, v, w]*
      HPL[{1}, 1 - v] + ((-2*c[3])/3 + (4*c[10])/3)*H1[u, v, w]*
      HPL[{1}, 1 - v] + ((2*c[3])/3 - (4*c[10])/3)*H1[v, w, u]*
      HPL[{1}, 1 - v] + (3*c[1] + 6*c[2] + 2*c[3] - 3*c[5] - 2*c[7] - 
       8*c[8] - 3*c[9] + (8*c[10])/3 - c[12] + c[14] + c[21] + c[22] - 
       c[23] + 2*c[24] - c[25]/2 - 4*c[26])*F1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v] + (c[1]/2 + 5*c[2] + c[3]/3 - 3*c[5] - c[6]/2 - 
       6*c[7] + (25*c[8])/4 + (37*c[9])/4 + (10*c[10])/3 + c[12] + c[13] - 
       c[14] - 3*c[15] - c[19] - c[22] - (3*c[25])/2 + c[26])*F1[v, w, u]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + ((3*c[1])/2 - 8*c[2] + 3*c[3] - 
       (3*c[6])/2 + 3*c[7] + c[8] - c[9]/2 - (10*c[10])/3 - c[12] + c[14] + 
       c[15] + c[19] - c[21] + 4*c[23] + (3*c[24])/2 - (21*c[25])/2 + 
       (21*c[26])/4)*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + 
     ((-3*c[1])/2 + c[3]/3 + c[5] - c[7] + c[9]/2 - (4*c[10])/3 + c[12] - 
       c[14] - c[23] - c[24] + (5*c[25])/2 - c[26])*F1[u, v, w]*
      HPL[{1}, 1 - v]^2 + ((-2*c[3])/3 + c[10]/3)*F1[v, w, u]*
      HPL[{1}, 1 - v]^2 + (2*c[2] - c[3]/3 + c[10]/3 - c[15])*F1[w, u, v]*
      HPL[{1}, 1 - v]^2 + ((3*c[1])/2 + (2*c[3])/3 - 2*c[12] + 2*c[14] + 
       c[15])*G[u, v, w]*HPL[{1}, 1 - w] + ((2*c[3])/3 - (4*c[10])/3)*
      H1[u, v, w]*HPL[{1}, 1 - w] + ((-2*c[3])/3 + (4*c[10])/3)*H1[v, w, u]*
      HPL[{1}, 1 - w] + (-5*c[1] - c[2] - (17*c[3])/3 - 3*c[5] - 2*c[7] - 
       8*c[8] - 3*c[9] + (8*c[10])/3 + c[12] + c[15] + c[21] + c[22] - 
       c[23] + 2*c[24] - c[25]/2 - 4*c[26])*F1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w] + (3*c[1] - 3*c[2] + (7*c[3])/3 - (3*c[6])/2 + 3*c[7] + 
       c[8] - c[9]/2 - (10*c[10])/3 - 2*c[12] + 2*c[14] + c[15] + c[19] - 
       c[21] + 4*c[23] + (3*c[24])/2 - (21*c[25])/2 + (21*c[26])/4)*
      F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + 
     ((-3*c[1])/2 + 10*c[2] - (8*c[3])/3 - 3*c[5] - c[6]/2 - 6*c[7] + 
       (25*c[8])/4 + (37*c[9])/4 + (10*c[10])/3 + c[13] + c[14] - c[19] - 
       c[22] - (3*c[25])/2 + c[26])*F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w] + (3*c[1] - 2*c[2] - c[3]/3 - 2*c[5] + 2*c[7] - c[9] + 
       (8*c[10])/3 - c[12] + c[14] + 2*c[23] + 2*c[24] - 5*c[25] + 2*c[26])*
      F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     ((-3*c[1])/2 - c[2] + (2*c[3])/3 + c[6]/2 + c[8]/2 - 2*c[9] - 
       (2*c[10])/3 - c[15] + c[24]/2 + (3*c[26])/4)*F1[v, w, u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + ((3*c[1])/2 + c[2] + c[6]/2 + 
       c[8]/2 - 2*c[9] - (2*c[10])/3 + c[15] + c[24]/2 + (3*c[26])/4)*
      F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     ((-3*c[1])/2 + 2*c[2] + c[5] - c[7] + c[9]/2 - (4*c[10])/3 - c[23] - 
       c[24] + (5*c[25])/2 - c[26])*F1[u, v, w]*HPL[{1}, 1 - w]^2 + 
     (-2*c[2] + c[10]/3 + c[15])*F1[v, w, u]*HPL[{1}, 1 - w]^2 + 
     (c[3]/3 + c[10]/3)*F1[w, u, v]*HPL[{1}, 1 - w]^2 + 
     (2*c[8] + 3*c[25])*F1[u, v, w]*HPL[{0, 1}, 1 - u] + 
     (4*c[2] - (2*c[3])/3 + 8*c[8] + c[12] - c[14] - c[25] + c[26])*
      F1[v, w, u]*HPL[{0, 1}, 1 - u] + (-4*c[2] + (2*c[3])/3 + 8*c[8] - 
       c[12] + c[14] - c[25] + c[26])*F1[w, u, v]*HPL[{0, 1}, 1 - u] + 
     (-c[1]/2 + 2*c[2] - (7*c[3])/3 + 2*c[7] + 6*c[8] + (28*c[10])/3 - 
       c[12] + 2*c[14] + c[15] + 2*c[23] - c[25]/2 - c[26])*F1[u, v, w]*
      HPL[{0, 1}, 1 - v] + (-3*c[1] - 2*c[6] - 4*c[7] - c[8] - 5*c[9] - 
       (2*c[10])/3 + c[12] - c[14] - 2*c[23] - 2*c[24] + 2*c[25] - 2*c[26])*
      F1[v, w, u]*HPL[{0, 1}, 1 - v] + (3*c[1] + c[6] + 4*c[7] - 3*c[8] + 
       3*c[9] + (2*c[10])/3 - c[12] + c[14] + 2*c[23] + 2*c[24] - 
       (7*c[25])/2 + 2*c[26])*F1[w, u, v]*HPL[{0, 1}, 1 - v] + 
     ((-7*c[1])/2 + 6*c[2] - 5*c[3] + 2*c[7] + 6*c[8] + (28*c[10])/3 + 
       c[12] + c[15] + 2*c[23] - c[25]/2 - c[26])*F1[u, v, w]*
      HPL[{0, 1}, 1 - w] + (3*c[1] - 4*c[2] + (4*c[3])/3 + c[6] + 4*c[7] - 
       3*c[8] + 3*c[9] + (2*c[10])/3 - c[12] + c[14] + 2*c[23] + 2*c[24] - 
       (7*c[25])/2 + 2*c[26])*F1[v, w, u]*HPL[{0, 1}, 1 - w] + 
     (-3*c[1] + 4*c[2] - (4*c[3])/3 - 2*c[6] - 4*c[7] - c[8] - 5*c[9] - 
       (2*c[10])/3 + c[12] - c[14] - 2*c[23] - 2*c[24] + 2*c[25] - 2*c[26])*
      F1[w, u, v]*HPL[{0, 1}, 1 - w] + ((-9*c[1])/16 - (11*c[2])/8 - c[3]/6 + 
       c[6]/4 + (5*c[7])/8 + (19*c[8])/4 + (5*c[9])/4 + (19*c[10])/8 - 
       (3*c[12])/4 - c[13]/8 + (5*c[14])/8 - c[15]/2 + c[19]/8 + c[22]/4 - 
       (3*c[23])/4 - c[24]/4 - c[25]/4 + (29*c[26])/16)*HPL[{1}, 1 - u]*
      J1[u, v, w] + (-c[3]/6 + c[10]/3)*HPL[{1}, 1 - v]*J1[u, v, w] + 
     (c[3]/6 - c[10]/3)*HPL[{1}, 1 - w]*J1[u, v, w] + 
     ((-29*c[1])/16 + (13*c[2])/8 - (17*c[3])/6 + c[6]/4 + (5*c[7])/8 + 
       (19*c[8])/4 + (5*c[9])/4 + (19*c[10])/8 - (3*c[12])/4 - c[13]/8 + 
       (13*c[14])/8 + 2*c[15] + c[19]/8 + c[22]/4 - (3*c[23])/4 - c[24]/4 - 
       c[25]/4 + (29*c[26])/16)*HPL[{1}, 1 - u]*J1[v, w, u] + 
     (c[3]/6 - c[10]/3)*HPL[{1}, 1 - v]*J1[v, w, u] + 
     (-c[3]/6 + c[10]/3)*HPL[{1}, 1 - w]*J1[v, w, u] + 
     ((15*c[1])/16 - (35*c[2])/8 + (13*c[3])/6 + (3*c[5])/2 - c[6]/2 + 
       (17*c[7])/8 - 7*c[8] - (13*c[9])/2 - (119*c[10])/24 + (3*c[12])/4 - 
       (5*c[13])/8 - (11*c[14])/8 + c[15]/2 + (5*c[19])/8 + (3*c[22])/4 + 
       c[23]/4 + 3*c[25] - (61*c[26])/16)*HPL[{1}, 1 - u]*J1[w, u, v] + 
     (c[3]*HPL[{1}, 1 - v]*J1[w, u, v])/3 - 
     (c[3]*HPL[{1}, 1 - w]*J1[w, u, v])/3 + 
     ((-3*c[1])/2 - 2*c[2] - c[6]/2 + c[7] + 12*c[8] + 5*c[9] + 
       (11*c[10])/3 - c[15] - c[21] + c[23] - c[24]/2 - (5*c[25])/2 + 
       (19*c[26])/4)*HPL[{1}, 1 - u]*K1[u, v, w] + 
     ((-3*c[1])/2 + 2*c[2] - (2*c[3])/3 - c[7] + c[9]/2 + (2*c[10])/3 - 
       c[23] - c[24] + (5*c[25])/2 - c[26])*HPL[{1}, 1 - v]*K1[u, v, w] + 
     ((3*c[1])/2 - 2*c[2] + (2*c[3])/3 + c[7] - c[9]/2 - (2*c[10])/3 + 
       c[23] + c[24] - (5*c[25])/2 + c[26])*HPL[{1}, 1 - w]*K1[u, v, w] + 
     (-2*c[1] - (11*c[3])/3 - c[6]/2 + c[7] + 12*c[8] + 5*c[9] + 
       (11*c[10])/3 - 2*c[12] + 3*c[14] + 2*c[15] - c[21] + c[23] - c[24]/2 - 
       (5*c[25])/2 + (19*c[26])/4)*HPL[{1}, 1 - u]*K1[v, w, u] + 
     ((3*c[1])/2 + c[7] - c[9]/2 - (2*c[10])/3 - c[12] + c[14] + c[23] + 
       c[24] - (5*c[25])/2 + c[26])*HPL[{1}, 1 - v]*K1[v, w, u] + 
     ((-3*c[1])/2 - c[7] + c[9]/2 + (2*c[10])/3 + c[12] - c[14] - c[23] - 
       c[24] + (5*c[25])/2 - c[26])*HPL[{1}, 1 - w]*K1[v, w, u] + 
     (-2*c[2] + c[3]/3 + 3*c[5] + 2*c[6] + 2*c[7] - (33*c[8])/2 - 11*c[9] - 
       (11*c[10])/3 + 2*c[12] - c[13] - 3*c[14] + c[21] + c[22] - 3*c[23] - 
       c[24] + 10*c[25] - (19*c[26])/2)*HPL[{1}, 1 - u]*K1[w, u, v] + 
     (-2*c[2] + (2*c[3])/3 + c[15])*HPL[{1}, 1 - v]*K1[w, u, v] + 
     (2*c[2] - (2*c[3])/3 - c[15])*HPL[{1}, 1 - w]*K1[w, u, v] + 
     ((7*c[1])/4 + (11*c[3])/6 + c[6]/2 - c[7] - 4*c[8] - 3*c[9] - 
       (11*c[10])/3 + c[12] - (3*c[14])/2 - c[15]/2 + c[23] + c[24]/2 + 
       c[25]/2 - (11*c[26])/4)*HPL[{1}, 1 - u]^3*Phi6[u, v, w] + 
     (3*c[2] + (2*c[3])/3 - 6*c[8] - 2*c[9] + c[12] - c[14] + c[21] - 
       2*c[23] + 5*c[25] - 2*c[26])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      Phi6[u, v, w] + ((-5*c[1])/4 + c[2] + c[3]/3 - (3*c[5])/2 + c[6]/4 - 
       (5*c[7])/2 + (7*c[8])/4 + (7*c[9])/2 + (5*c[10])/3 + c[12] + c[13]/2 - 
       c[14] - (3*c[15])/2 - c[19]/2 - c[22]/2 - c[23]/2 - (3*c[24])/4 - 
       c[25]/2 + (5*c[26])/8)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      Phi6[u, v, w] + (-c[3]/3 + c[10]/3)*HPL[{1}, 1 - v]^3*Phi6[u, v, w] + 
     (-c[2] - (2*c[3])/3 - 6*c[8] - 2*c[9] - c[12] + c[14] + c[21] - 
       2*c[23] + 5*c[25] - 2*c[26])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      Phi6[u, v, w] + ((9*c[1])/2 - 5*c[2] + (8*c[3])/3 - 2*c[6] + 2*c[7] + 
       8*c[8] + c[9] - (10*c[10])/3 - 2*c[12] + 2*c[14] + c[15] + c[19] - 
       c[21] + 5*c[23] + 3*c[24] - 10*c[25] + (11*c[26])/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Phi6[u, v, w] + 
     (2*c[2] - c[10]/3 - c[15])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      Phi6[u, v, w] + ((-3*c[1])/2 + 6*c[2] - (3*c[3])/2 - (3*c[5])/2 + 
       c[6]/4 - (5*c[7])/2 + (7*c[8])/4 + (7*c[9])/2 + (5*c[10])/3 + 
       c[13]/2 + c[14]/2 - c[19]/2 - c[22]/2 - c[23]/2 - (3*c[24])/4 - 
       c[25]/2 + (5*c[26])/8)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      Phi6[u, v, w] + (-2*c[2] + c[3]/3 - c[10]/3 + c[15])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*Phi6[u, v, w] + 
     (c[10]*HPL[{1}, 1 - w]^3*Phi6[u, v, w])/3 + (-2*c[8] - 3*c[25])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w] + 
     (-2*c[8] - 3*c[25])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w] + 
     (c[6] + c[8]/2 - 2*c[9] - c[25]/2 + c[26]/2)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w] + (-2*c[8] - 3*c[25])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w] + (2*c[8] + 3*c[25])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w] + (c[6] + c[8]/2 - 2*c[9] - c[25]/2 + 
       c[26]/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w] + 
     (2*c[8] + 3*c[25])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w] + 
     (-2*c[8] - 3*c[25])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w] + 
     (4*c[8] + 6*c[25])*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w] + 
     (4*c[8] + 6*c[25])*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w] + 
     (-4*c[6] - 4*c[8] - 6*c[9] + 2*c[25] - 2*c[26])*F1[v, w, u]*\[Zeta][2] + 
     (-4*c[6] - 4*c[8] - 6*c[9] + 2*c[25] - 2*c[26])*F1[w, u, v]*\[Zeta][2] + 
     (-c[1]/2 - 15*c[2] + (4*c[3])/3 + 11*c[7] + 6*c[8] - 24*c[9] - 
       (29*c[10])/3 - 4*c[12] - 3*c[13] + 5*c[14] + 10*c[15] + 5*c[19] + 
       2*c[21] + 6*c[22] - 4*c[23] + 2*c[24] + 2*c[25] - c[26]/2)*
      HPL[{1}, 1 - u]*Phi6[u, v, w]*\[Zeta][2] + 
     (-9*c[1] - 4*c[2] + 6*c[12] - 6*c[14] - 2*c[15])*HPL[{1}, 1 - v]*
      Phi6[u, v, w]*\[Zeta][2] + (9*c[1] + 4*c[2] - 6*c[12] + 6*c[14] + 
       2*c[15])*HPL[{1}, 1 - w]*Phi6[u, v, w]*\[Zeta][2]
 
 
CuvwCoproductEntries[u] = ((3*c[1])/2 + 3*c[2] - (5*c[3])/3 - 5*c[7] + 
       4*c[8] + c[9] + (7*c[10])/3 - c[15] - c[19] + c[22] + c[24] - 
       2*c[25] + c[26]/2)*G[u, v, w]*HPL[{1}, 1 - u] + 
     (-c[6] - c[7] + 2*c[8])*H1[u, v, w]*HPL[{1}, 1 - u] + 
     (-c[6] - c[7] + 2*c[8])*H1[v, w, u]*HPL[{1}, 1 - u] + 
     (c[6] + c[7] - 2*c[8])*H1[w, u, v]*HPL[{1}, 1 - u] + 
     (2*c[6] + 2*c[7] - 4*c[8])*F1[u, v, w]*HPL[{1}, 1 - u]^2 + 
     ((-4*c[3])/3 + c[6]/2 - c[7] - c[8]/2 + (3*c[9])/2 + (4*c[10])/3 + 
       c[24]/2 - c[25] + c[26]/4)*F1[v, w, u]*HPL[{1}, 1 - u]^2 + 
     ((3*c[1])/2 + 2*c[2] + c[6]/2 - c[7] - c[8]/2 + (3*c[9])/2 + 
       (4*c[10])/3 + c[24]/2 - c[25] + c[26]/4)*F1[w, u, v]*
      HPL[{1}, 1 - u]^2 + ((3*c[1])/2 - 2*c[2] - (2*c[3])/3 - 3*c[5] + 
       8*c[6] + 7*c[7] + (45*c[8])/2 - (19*c[9])/2 - (10*c[10])/3 + c[15] + 
       c[21] + c[24] - (27*c[25])/2 + 6*c[26])*G[u, v, w]*HPL[{1}, 1 - v] + 
     ((3*c[1])/4 - 4*c[2] - c[3]/3 - (3*c[5])/2 - 2*c[6] + 4*c[7] - 
       (11*c[8])/2 - c[10]/3 - c[22]/2 + c[23]/2 - (15*c[25])/4 + 
       (3*c[26])/2)*H1[u, v, w]*HPL[{1}, 1 - v] + 
     ((-9*c[1])/4 - 6*c[2] + c[3]/3 + (9*c[5])/2 + 2*c[6] - 2*c[7] + 
       (7*c[8])/2 + 3*c[9] - (7*c[10])/3 - c[22]/2 - (3*c[23])/2 - 2*c[24] + 
       (13*c[25])/4 + c[26]/2)*H1[v, w, u]*HPL[{1}, 1 - v] + 
     ((3*c[1])/4 + 6*c[2] - c[3]/3 - (3*c[5])/2 + 3*c[6] - 2*c[7] + 
       (19*c[8])/2 - 4*c[9] + c[10] + (3*c[22])/2 + c[23]/2 + c[24] + 
       c[25]/4 - c[26])*H1[w, u, v]*HPL[{1}, 1 - v] + 
     (8*c[2] - (4*c[3])/3 - 3*c[5] - 2*c[7] - 16*c[8] + 3*c[9] + 
       (8*c[10])/3 + 5*c[22] + c[23] + 2*c[24] + c[25]/2 - 2*c[26])*
      F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + 
     (c[2] + c[3] - 4*c[6] - (49*c[8])/4 + (3*c[9])/4 - (5*c[10])/3 + c[21] - 
       c[23] + c[24]/2 - (5*c[25])/2 + (7*c[26])/4)*F1[v, w, u]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + ((-3*c[1])/2 + (5*c[6])/2 + 5*c[8] - 
       (7*c[9])/2 - (4*c[10])/3 - c[15] - c[19] - c[24]/2 + c[25]/2 + 
       c[26]/4)*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + 
     ((3*c[1])/2 + (5*c[2])/2 + (5*c[3])/6 - (5*c[6])/2 - c[7] - (5*c[8])/4 - 
       2*c[9] - (7*c[10])/6 + c[21] - c[22] - c[23] + c[24] - (5*c[25])/4 + 
       (5*c[26])/4)*F1[u, v, w]*HPL[{1}, 1 - v]^2 + 
     ((9*c[1])/2 + 4*c[2] - 3*c[5] - 4*c[6] + 2*c[7] - 13*c[8] + 8*c[9] + 
       (4*c[10])/3 - c[15]/2 - c[22] + c[23] + 2*c[24] - (9*c[25])/2)*
      F1[v, w, u]*HPL[{1}, 1 - v]^2 + (-c[2] + c[6]/2 + c[7] - 5*c[8] + 
       c[9]/2 + c[15] - c[22] + c[24]/2 - 3*c[25] + (3*c[26])/4)*F1[w, u, v]*
      HPL[{1}, 1 - v]^2 + (4*c[1] - c[2] - c[3] - 3*c[5] + 8*c[6] + 7*c[7] + 
       (45*c[8])/2 - (19*c[9])/2 - (10*c[10])/3 - c[12] + 2*c[14] + c[15] + 
       c[21] + c[24] - (27*c[25])/2 + 6*c[26])*G[u, v, w]*HPL[{1}, 1 - w] + 
     ((9*c[1])/4 + (13*c[2])/2 + (9*c[3])/2 + (9*c[5])/2 + 2*c[6] - 2*c[7] + 
       (7*c[8])/2 + 3*c[9] - (7*c[10])/3 - (3*c[14])/2 - (3*c[15])/2 - 
       c[22]/2 - (3*c[23])/2 - 2*c[24] + (13*c[25])/4 + c[26]/2)*H1[u, v, w]*
      HPL[{1}, 1 - w] + ((5*c[1])/4 - (3*c[2])/2 - (5*c[3])/6 - (3*c[5])/2 - 
       2*c[6] + 4*c[7] - (11*c[8])/2 - c[10]/3 + c[14]/2 + c[15]/2 - 
       c[22]/2 + c[23]/2 - (15*c[25])/4 + (3*c[26])/2)*H1[v, w, u]*
      HPL[{1}, 1 - w] + ((-7*c[1])/4 - (3*c[2])/2 - (13*c[3])/6 - 
       (3*c[5])/2 + 3*c[6] - 2*c[7] + (19*c[8])/2 - 4*c[9] + c[10] + 
       c[14]/2 + c[15]/2 + (3*c[22])/2 + c[23]/2 + c[24] + c[25]/4 - c[26])*
      H1[w, u, v]*HPL[{1}, 1 - w] + (-2*c[1] - 3*c[2] - (7*c[3])/3 - 3*c[5] - 
       2*c[7] - 16*c[8] + 3*c[9] + (8*c[10])/3 + c[14] + c[15] + 5*c[22] + 
       c[23] + 2*c[24] + c[25]/2 - 2*c[26])*F1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w] + ((4*c[3])/3 + (5*c[6])/2 + 5*c[8] - (7*c[9])/2 - 
       (4*c[10])/3 - c[15] - c[19] - c[24]/2 + c[25]/2 + c[26]/4)*F1[v, w, u]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + ((3*c[1])/2 - c[2] + (5*c[3])/3 - 
       4*c[6] - (49*c[8])/4 + (3*c[9])/4 - (5*c[10])/3 - c[12] + c[14] + 
       c[21] - c[23] + c[24]/2 - (5*c[25])/2 + (7*c[26])/4)*F1[w, u, v]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + (-3*c[1] - 5*c[2] + (5*c[3])/3 + 
       3*c[6] + 3*c[7] + 9*c[8] - 2*c[9] - (7*c[10])/3 - c[21] - 2*c[22] + 
       c[23] - 2*c[24] + 2*c[25] + c[26])*F1[u, v, w]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w] + (-c[2] + (4*c[3])/3 - c[6] - c[7] - (5*c[8])/2 - 
       (4*c[10])/3 + c[15] - c[22] - 2*c[25] + c[26]/2)*F1[v, w, u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + ((-3*c[1])/2 + c[2] - c[6] - c[7] - 
       (5*c[8])/2 - (4*c[10])/3 - c[22] - 2*c[25] + c[26]/2)*F1[w, u, v]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + ((3*c[1])/2 - c[2]/2 + (5*c[3])/6 - 
       (5*c[6])/2 - c[7] - (5*c[8])/4 - 2*c[9] - (7*c[10])/6 - c[12] + 
       c[14] + c[21] - c[22] - c[23] + c[24] - (5*c[25])/4 + (5*c[26])/4)*
      F1[u, v, w]*HPL[{1}, 1 - w]^2 + (c[6]/2 + c[7] - 5*c[8] + c[9]/2 - 
       c[22] + c[24]/2 - 3*c[25] + (3*c[26])/4)*F1[v, w, u]*
      HPL[{1}, 1 - w]^2 + (-c[1]/2 - 5*c[2] - (7*c[3])/3 - 3*c[5] - 4*c[6] + 
       2*c[7] - 13*c[8] + 8*c[9] + (4*c[10])/3 + c[14] + c[15] - c[22] + 
       c[23] + 2*c[24] - (9*c[25])/2)*F1[w, u, v]*HPL[{1}, 1 - w]^2 + 
     (-10*c[8] + 3*c[9] + 2*c[22] - 4*c[25] + c[26])*F1[v, w, u]*
      HPL[{0, 1}, 1 - u] + (-10*c[8] + 3*c[9] + 2*c[22] - 4*c[25] + c[26])*
      F1[w, u, v]*HPL[{0, 1}, 1 - u] + (-2*c[6] + 3*c[8] - 2*c[22] - c[25] + 
       c[26])*F1[u, v, w]*HPL[{0, 1}, 1 - v] + 
     ((-4*c[3])/3 - 2*c[6] + 4*c[7] - 14*c[8] + c[9] + (4*c[10])/3 - 
       4*c[25] + c[26])*F1[v, w, u]*HPL[{0, 1}, 1 - v] + 
     (-3*c[1] - 4*c[2] - c[6] + 2*c[7] - 7*c[8] + 2*c[9] - c[24] + c[25] + 
       c[26]/2)*F1[w, u, v]*HPL[{0, 1}, 1 - v] + 
     (-2*c[6] + 3*c[8] - 2*c[22] - c[25] + c[26])*F1[u, v, w]*
      HPL[{0, 1}, 1 - w] + (-c[6] + 2*c[7] - 7*c[8] + 2*c[9] - c[24] + 
       c[25] + c[26]/2)*F1[v, w, u]*HPL[{0, 1}, 1 - w] + 
     (-4*c[2] - 2*c[6] + 4*c[7] - 14*c[8] + c[9] + (4*c[10])/3 - 4*c[25] + 
       c[26])*F1[w, u, v]*HPL[{0, 1}, 1 - w] + 
     ((-3*c[6])/4 - (3*c[7])/4 + (3*c[8])/2)*HPL[{1}, 1 - u]*J1[u, v, w] + 
     ((-3*c[1])/16 - 4*c[2] + c[3]/12 + (3*c[5])/8 - 2*c[6] + 2*c[7] - 
       (49*c[8])/8 + 2*c[9] - (7*c[10])/12 - (7*c[22])/8 - c[23]/8 - 
       c[24]/2 - (17*c[25])/16 + (7*c[26])/8)*HPL[{1}, 1 - v]*J1[u, v, w] + 
     ((23*c[1])/16 + (27*c[2])/8 + (15*c[3])/8 + (15*c[5])/8 + 2*c[6] - 
       c[7]/2 + (37*c[8])/8 + c[9]/4 - (17*c[10])/12 - (5*c[14])/8 - 
       (5*c[15])/8 + c[22]/8 - (5*c[23])/8 - c[24] + (11*c[25])/16 + 
       (5*c[26])/8)*HPL[{1}, 1 - w]*J1[u, v, w] + 
     ((-3*c[6])/4 - (3*c[7])/4 + (3*c[8])/2)*HPL[{1}, 1 - u]*J1[v, w, u] + 
     ((-15*c[1])/16 - (7*c[2])/2 - c[3]/12 + (15*c[5])/8 + 2*c[6] - c[7]/2 + 
       (37*c[8])/8 + c[9]/4 - (17*c[10])/12 + c[22]/8 - (5*c[23])/8 - c[24] + 
       (11*c[25])/16 + (5*c[26])/8)*HPL[{1}, 1 - v]*J1[v, w, u] + 
     ((19*c[1])/16 + (3*c[2])/8 + (7*c[3])/8 + (3*c[5])/8 - 2*c[6] + 2*c[7] - 
       (49*c[8])/8 + 2*c[9] - (7*c[10])/12 - c[14]/8 - c[15]/8 - 
       (7*c[22])/8 - c[23]/8 - c[24]/2 - (17*c[25])/16 + (7*c[26])/8)*
      HPL[{1}, 1 - w]*J1[v, w, u] + ((3*c[6])/4 + (3*c[7])/4 - (3*c[8])/2)*
      HPL[{1}, 1 - u]*J1[w, u, v] + ((-3*c[1])/16 + (7*c[2])/2 + c[3]/12 + 
       (3*c[5])/8 + (7*c[6])/4 - (5*c[7])/2 + (41*c[8])/8 - c[9] + 
       (5*c[10])/12 + (5*c[22])/8 - c[23]/8 + c[24]/4 + (31*c[25])/16 - 
       c[26])*HPL[{1}, 1 - v]*J1[w, u, v] + 
     ((-17*c[1])/16 + (3*c[2])/8 - c[3]/8 + (3*c[5])/8 + (7*c[6])/4 - 
       (5*c[7])/2 + (41*c[8])/8 - c[9] + (5*c[10])/12 - c[14]/8 - c[15]/8 + 
       (5*c[22])/8 - c[23]/8 + c[24]/4 + (31*c[25])/16 - c[26])*
      HPL[{1}, 1 - w]*J1[w, u, v] + ((-3*c[1])/2 - 2*c[2] - (3*c[6])/2 + 
       (5*c[8])/2 - (3*c[9])/2 - (4*c[10])/3 - c[24]/2 + c[25] - c[26]/4)*
      HPL[{1}, 1 - u]*K1[u, v, w] + ((3*c[1])/2 - 4*c[2] - c[3]/3 - 4*c[6] + 
       2*c[7] - (23*c[8])/2 + (7*c[9])/2 + c[10]/3 - (5*c[25])/2 + c[26])*
      HPL[{1}, 1 - v]*K1[u, v, w] + (c[1]/2 + 6*c[2] + (4*c[3])/3 + 3*c[5] + 
       (11*c[6])/2 - c[7] + (31*c[8])/4 + (5*c[9])/4 - c[10]/3 + c[12] - 
       2*c[14] - c[15] - c[21] + c[22] - 2*c[24] + 4*c[25] - c[26])*
      HPL[{1}, 1 - w]*K1[u, v, w] + ((4*c[3])/3 - (3*c[6])/2 + (5*c[8])/2 - 
       (3*c[9])/2 - (4*c[10])/3 - c[24]/2 + c[25] - c[26]/4)*HPL[{1}, 1 - u]*
      K1[v, w, u] + ((-3*c[1])/2 - 6*c[2] - c[3] + 3*c[5] + (11*c[6])/2 - 
       c[7] + (31*c[8])/4 + (5*c[9])/4 - c[10]/3 - c[21] + c[22] - 2*c[24] + 
       4*c[25] - c[26])*HPL[{1}, 1 - v]*K1[v, w, u] + 
     ((3*c[1])/2 + c[2] - c[3] - 4*c[6] + 2*c[7] - (23*c[8])/2 + (7*c[9])/2 + 
       c[10]/3 - (5*c[25])/2 + c[26])*HPL[{1}, 1 - w]*K1[v, w, u] + 
     (-c[2] + c[3]/3 + 2*c[7] - 3*c[8] + 2*c[9] + c[10]/3 + c[15] + c[19] - 
       c[22])*HPL[{1}, 1 - u]*K1[w, u, v] + 
     (6*c[2] + 2*c[6] - 4*c[7] + (25*c[8])/2 - (5*c[9])/2 + (2*c[10])/3 - 
       c[15] + 2*c[22] + 5*c[25] - 2*c[26])*HPL[{1}, 1 - v]*K1[w, u, v] + 
     ((-3*c[1])/2 - (2*c[3])/3 + 2*c[6] - 4*c[7] + (25*c[8])/2 - (5*c[9])/2 + 
       (2*c[10])/3 + 2*c[22] + 5*c[25] - 2*c[26])*HPL[{1}, 1 - w]*
      K1[w, u, v] + (c[6] + c[7] - 2*c[8])*HPL[{1}, 1 - u]^3*Phi6[u, v, w] + 
     ((3*c[1])/4 + 5*c[2] - (4*c[3])/3 - (3*c[5])/2 + c[6]/2 - 2*c[7] + 
       c[8]/2 + (8*c[10])/3 + c[22]/2 + c[23]/2 + (3*c[24])/2 - (3*c[25])/4 - 
       (3*c[26])/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Phi6[u, v, w] + 
     (c[2] + c[3] - 3*c[6] - (9*c[8])/4 - c[9]/4 - (5*c[10])/3 + c[21] - 
       c[22] - c[23] + c[24]/2 - (5*c[25])/2 + (7*c[26])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*Phi6[u, v, w] + ((3*c[1])/4 - (3*c[5])/2 - 
       (5*c[6])/2 + 2*c[7] - (13*c[8])/2 + c[9]/2 + (2*c[10])/3 - c[22]/2 + 
       c[23]/2 + c[24]/2 - (7*c[25])/4 + c[26]/4)*HPL[{1}, 1 - v]^3*
      Phi6[u, v, w] + (-c[1]/4 - c[2]/2 - (11*c[3])/6 - (3*c[5])/2 + c[6]/2 - 
       2*c[7] + c[8]/2 + (8*c[10])/3 + c[14]/2 + c[15]/2 + c[22]/2 + 
       c[23]/2 + (3*c[24])/2 - (3*c[25])/4 - (3*c[26])/4)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*Phi6[u, v, w] + ((-3*c[1])/2 - c[2] + (5*c[3])/3 + 
       4*c[6] + c[7] + (7*c[8])/2 - 5*c[9] - (7*c[10])/3 - c[15] - c[19] - 
       c[22] - c[24] + c[25] + c[26]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Phi6[u, v, w] + (-c[2] + c[6]/2 + (3*c[7])/2 - 
       (21*c[8])/4 + c[9]/8 + c[15] - c[22] + c[24]/2 - (15*c[25])/4 + 
       (9*c[26])/8)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Phi6[u, v, w] + 
     ((3*c[1])/2 - c[2] + (5*c[3])/3 - 3*c[6] - (9*c[8])/4 - c[9]/4 - 
       (5*c[10])/3 - c[12] + c[14] + c[21] - c[22] - c[23] + c[24]/2 - 
       (5*c[25])/2 + (7*c[26])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      Phi6[u, v, w] + (c[6]/2 + (3*c[7])/2 - (21*c[8])/4 + c[9]/8 - c[22] + 
       c[24]/2 - (15*c[25])/4 + (9*c[26])/8)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*Phi6[u, v, w] + (-c[1]/4 - (5*c[2])/2 - (7*c[3])/6 - 
       (3*c[5])/2 - (5*c[6])/2 + 2*c[7] - (13*c[8])/2 + c[9]/2 + 
       (2*c[10])/3 + c[14]/2 + c[15]/2 - c[22]/2 + c[23]/2 + c[24]/2 - 
       (7*c[25])/4 + c[26]/4)*HPL[{1}, 1 - w]^3*Phi6[u, v, w] + 
     (-2*c[8] - (11*c[25])/2 + c[26])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      Phi6[u, v, w] + (-2*c[8] - (11*c[25])/2 + c[26])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*Phi6[u, v, w] + (-3*c[1] - 4*c[2] - c[6] + 2*c[7] - 
       7*c[9] - c[24] + c[25] + c[26]/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      Phi6[u, v, w] + ((-4*c[3])/3 + c[6] + 4*c[7] - 3*c[8] + c[9] + 
       (4*c[10])/3 - (5*c[25])/2 + c[26])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      Phi6[u, v, w] + (-4*c[2] + c[6] + 4*c[7] - 3*c[8] + c[9] + 
       (4*c[10])/3 - (5*c[25])/2 + c[26])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w] + (-c[6] + 2*c[7] - 7*c[9] - c[24] + c[25] + c[26]/2)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w] + 
     (3*c[1] + 6*c[2] - (10*c[3])/3 + 2*c[6] - 8*c[7] + 4*c[8] + 2*c[9] + 
       (14*c[10])/3 - 2*c[15] - 2*c[19] + 2*c[22] + 2*c[24] - 4*c[25] + 
       c[26])*HPL[{1}, 1 - u]*Phi6[u, v, w]*\[Zeta][2] + 
     ((-15*c[1])/2 - 14*c[2] + (10*c[3])/3 + 9*c[5] + c[6] + 5*c[8] - 
       6*c[9] - 10*c[10] + 2*c[15] + 2*c[21] - 13*c[22] - 5*c[23] - 3*c[24] - 
       (7*c[25])/2 + (13*c[26])/2)*HPL[{1}, 1 - v]*Phi6[u, v, w]*\[Zeta][2] + 
     ((15*c[1])/2 + 9*c[2] + (47*c[3])/3 + 9*c[5] + c[6] + 5*c[8] - 6*c[9] - 
       10*c[10] - 2*c[12] - c[14] - 3*c[15] + 2*c[21] - 13*c[22] - 5*c[23] - 
       3*c[24] - (7*c[25])/2 + (13*c[26])/2)*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      \[Zeta][2]
 
 
CuvwCoproductEntries[1 - v] = A1[u, v, w]*c[4] + 
     A6[u, v, w]*(-c[6] - 2*c[8]) + (A2[w, u, v]*c[8])/2 - A4[w, u, v]*c[8] + 
     A2[u, v, w]*(c[7] - c[9]) + A3[v, w, u]*((4*c[3])/3 - (4*c[10])/3) + 
     A3[w, u, v]*((2*c[3])/3 - (2*c[10])/3) + 
     A2[w, v, u]*((2*c[3])/3 - c[8] - (2*c[10])/3) + 
     A4[u, v, w]*(-c[2] - c[3]/3 + c[11]) + A11[u, v, w]*
      (c[2] + c[3]/3 - c[6] + 2*c[8] - 2*c[9] + c[13]) + A5[w, u, v]*c[15] + 
     A1[u, w, v]*(c[16] + c[19]) + A2[u, w, v]*(c[2] + c[3]/3 - c[10]/3 + 
       c[20]) + A6[v, w, u]*(-c[3]/3 + c[7] - (3*c[8])/2 + c[9] + c[10] + 
       c[20]) + A10[u, v, w]*(-2*c[6] - 2*c[8] - 3*c[9] + c[25] - c[26]) + 
     A10[v, w, u]*(-8*c[3] + 3*c[6] + 2*c[7] + 6*c[8] + 12*c[9] + 8*c[10] + 
       c[17] + 2*c[22] + c[24] - 2*c[25] + c[26]/2) + 
     A10[w, u, v]*(-6*c[2] - (10*c[3])/3 + 2*c[8] + 4*c[9] + (10*c[10])/3 - 
       2*c[12] + 2*c[14] - 2*c[25] + 2*c[26] + c[27]) + 
     ((3*c[1])/2 - c[3] + (3*c[6])/2 + 2*c[7] - (3*c[8])/2 + 4*c[9] + 
       (5*c[10])/3 - c[15] - c[19] - c[22] + c[23] + (3*c[24])/2 - 
       (9*c[25])/2 + (9*c[26])/4)*G[u, v, w]*HPL[{1}, 1 - u] + 
     (-c[8] + c[9])*H1[u, v, w]*HPL[{1}, 1 - u] + (c[8] + c[9])*H1[v, w, u]*
      HPL[{1}, 1 - u] + (-c[8] - c[9])*H1[w, u, v]*HPL[{1}, 1 - u] - 
     2*c[9]*F1[u, v, w]*HPL[{1}, 1 - u]^2 + 
     (-c[2] + c[3]/3 - c[8] + (7*c[9])/2 + c[10]/3 - c[25]/2 + c[26]/2)*
      F1[v, w, u]*HPL[{1}, 1 - u]^2 + ((3*c[1])/2 + c[3] + c[7] - 3*c[8] + 
       3*c[9] - c[10]/3 + c[23] + c[24] - 3*c[25] + (3*c[26])/2)*F1[w, u, v]*
      HPL[{1}, 1 - u]^2 + ((-17*c[1])/2 + 6*c[2] + (26*c[3])/3 + 24*c[5] - 
       22*c[6] - 2*c[7] - (131*c[8])/2 + (81*c[9])/2 + 10*c[10] - 2*c[12] + 
       c[13] - c[14] + c[19] - c[21] - 8*c[22] - 4*c[23] - 9*c[24] + 
       (39*c[25])/2 + 4*c[26])*G[u, v, w]*HPL[{1}, 1 - v] + 
     ((3*c[1])/4 - c[2]/2 - 2*c[3] + (3*c[7])/2 + (3*c[8])/4 + 10*c[9] + 
       (13*c[10])/2 - c[12] + c[13]/2 + (3*c[14])/2 + 2*c[15] + c[19]/2 + 
       c[23] + c[24]/2 - (7*c[25])/4 + (5*c[26])/4)*H1[u, v, w]*
      HPL[{1}, 1 - v] + ((-9*c[1])/4 + (7*c[2])/2 - (2*c[3])/3 - 5*c[6] + 
       (3*c[7])/2 - (59*c[8])/4 - 4*c[9] + (31*c[10])/6 - c[12] + c[13]/2 + 
       (3*c[14])/2 + c[19]/2 + c[23] - (3*c[24])/2 + c[25]/4 - c[26]/4)*
      H1[v, w, u]*HPL[{1}, 1 - v] + ((3*c[1])/4 - (9*c[2])/2 + 4*c[3] + 
       6*c[5] + 2*c[6] - c[7]/2 + (29*c[8])/4 + c[9] - (49*c[10])/6 + c[12] - 
       (3*c[13])/2 - (5*c[14])/2 - 2*c[15] - (3*c[19])/2 - 2*c[22] - 
       3*c[23] - c[24]/2 + (5*c[25])/4 + c[26]/4)*H1[w, u, v]*
      HPL[{1}, 1 - v] + (c[1]/2 - 3*c[2] + (10*c[3])/3 - c[6]/2 - 2*c[7] - 
       (55*c[8])/4 + (7*c[9])/4 - 9*c[10] + 2*c[12] - 3*c[14] - c[15] + 
       c[22] - 2*c[23] - c[25]/2 + 2*c[26])*F1[u, v, w]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v] + (6*c[1] + (4*c[3])/3 - 3*c[5] - (5*c[6])/2 + 3*c[7] - 
       c[8]/2 + (17*c[9])/2 + c[10] - 2*c[12] + 2*c[14] - c[15] - c[21] + 
       6*c[23] + (7*c[24])/2 - (9*c[25])/2 + (15*c[26])/4)*F1[v, w, u]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + ((-3*c[1])/2 + 7*c[2] - c[3]/3 - 
       c[6] - 6*c[7] + (17*c[8])/2 - (13*c[9])/2 - 2*c[10] + c[12] - c[14] - 
       c[15] - c[19] - c[21] - c[22] - c[24] - c[25] - c[26]/2)*F1[w, u, v]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + ((9*c[1])/2 - (4*c[3])/3 + 5*c[7] - 
       4*c[8] + 8*c[9] + (7*c[10])/3 - 2*c[12] + 2*c[14] - c[15] - c[21] + 
       5*c[23] + 3*c[24] - 6*c[25] + (9*c[26])/2)*F1[u, v, w]*
      HPL[{1}, 1 - v]^2 + (c[1]/2 + 4*c[2] - 3*c[5] + (3*c[6])/2 - 3*c[7] + 
       3*c[8] + 8*c[9] + 2*c[10] + c[13] + c[15] + c[19] + c[22] + c[23] + 
       c[24]/2 + (3*c[25])/2 + (3*c[26])/4)*F1[v, w, u]*HPL[{1}, 1 - v]^2 + 
     ((-3*c[1])/2 + c[6] - 2*c[7] + 2*c[8] - 2*c[9] + c[10] + c[12] - c[14] + 
       c[15] + c[21] - 3*c[23] - c[24] + 9*c[25] - (9*c[26])/2)*F1[w, u, v]*
      HPL[{1}, 1 - v]^2 + ((-3*c[1])/2 + c[3] - (3*c[6])/2 - 2*c[7] + 
       (3*c[8])/2 - 4*c[9] - (5*c[10])/3 + c[15] + c[19] + c[22] - c[23] - 
       (3*c[24])/2 + (9*c[25])/2 - (9*c[26])/4)*G[u, v, w]*HPL[{1}, 1 - w] + 
     (c[8] - c[9])*H1[u, v, w]*HPL[{1}, 1 - w] + (-c[8] - c[9])*H1[v, w, u]*
      HPL[{1}, 1 - w] + (c[8] + c[9])*H1[w, u, v]*HPL[{1}, 1 - w] + 
     ((3*c[1])/2 + c[3] + 2*c[6] + c[7] + (3*c[8])/2 + (3*c[9])/2 - c[10]/3 - 
       c[22] + c[23] + c[24] - 3*c[25] + (3*c[26])/2)*F1[u, v, w]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + (2*c[2] - (4*c[3])/3 + c[6] + 
       3*c[8] - (11*c[9])/2 - c[15] - c[19] + c[25]/2 - c[26]/2)*F1[v, w, u]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + ((-3*c[1])/2 - c[3] - c[6]/2 - c[7] - 
       2*c[8] - (5*c[9])/2 + c[10]/3 - c[23] - c[24]/2 - (3*c[26])/4)*
      F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + 
     (-3*c[1] + 4*c[2] + c[3]/3 - (5*c[6])/2 - 4*c[7] + (15*c[8])/2 - 
       9*c[9] - (8*c[10])/3 + c[12] - c[14] - c[21] - (3*c[24])/2 + 
       (11*c[25])/2 - c[26]/4)*F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     ((-7*c[1])/2 - 2*c[2] - 4*c[3] + 6*c[5] + (7*c[6])/2 + 2*c[7] + 
       (7*c[8])/2 - (15*c[9])/2 + c[10]/3 + c[12] - c[13] - c[14] + 2*c[15] + 
       c[21] - 5*c[23] - (5*c[24])/2 + 8*c[25] - (15*c[26])/4)*F1[v, w, u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + ((-9*c[1])/2 - c[3] - 3*c[5] - 
       3*c[6] - 3*c[7] - 11*c[8] - (13*c[9])/2 + (2*c[10])/3 + c[13] + 
       c[14] + c[15] + 2*c[19] + c[22] + c[23] - c[24] + 9*c[25] - 4*c[26])*
      F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     ((-3*c[1])/2 - c[3] - c[7] + 3*c[8] - 3*c[9] + c[10]/3 - c[23] - c[24] + 
       3*c[25] - (3*c[26])/2)*F1[u, v, w]*HPL[{1}, 1 - w]^2 + 
     (-c[2] + c[3] - c[6] - 2*c[8] + 2*c[9] - c[10]/3 + c[15] + c[19])*
      F1[v, w, u]*HPL[{1}, 1 - w]^2 + (-c[3]/3 - 2*c[8] + c[10]/3)*
      F1[w, u, v]*HPL[{1}, 1 - w]^2 + (8*c[8] - c[25] + c[26])*F1[u, v, w]*
      HPL[{0, 1}, 1 - u] + (-c[1]/2 - 2*c[2] - (4*c[3])/3 + 3*c[5] - c[6]/2 + 
       4*c[7] - (13*c[8])/2 - (11*c[9])/2 - 2*c[10] - c[13] + c[15] + c[22] - 
       c[23] - c[24]/2 + 4*c[25] - (11*c[26])/4)*F1[v, w, u]*
      HPL[{0, 1}, 1 - u] + (4*c[2] - (2*c[3])/3 - 8*c[8] + (2*c[10])/3 + 
       c[12] - c[14] + c[25] - c[26])*F1[w, u, v]*HPL[{0, 1}, 1 - u] + 
     (-4*c[6] - 7*c[8] - 3*c[9] - 4*c[25] + c[26])*F1[u, v, w]*
      HPL[{0, 1}, 1 - v] + (-c[8] - (3*c[25])/2)*F1[v, w, u]*
      HPL[{0, 1}, 1 - v] + (-3*c[1] + 2*c[6] - 4*c[7] + 6*c[8] - 2*c[9] - 
       2*c[10] + c[12] - c[14] - 2*c[23] - 2*c[24] + c[25] - c[26])*
      F1[w, u, v]*HPL[{0, 1}, 1 - v] + (3*c[6] + 3*c[8] + c[9] + 
       (5*c[25])/2 - c[26])*F1[u, v, w]*HPL[{0, 1}, 1 - w] + 
     (-c[1]/2 - 2*c[2] - (4*c[3])/3 + 3*c[5] + (5*c[6])/2 + 2*c[7] + 
       (21*c[8])/2 + (15*c[9])/2 - 2*c[10] - c[13] + c[15] - c[22] - c[23] + 
       c[24]/2 - (11*c[25])/2 + (11*c[26])/4)*F1[v, w, u]*
      HPL[{0, 1}, 1 - w] + (3*c[1] - 4*c[2] + (4*c[3])/3 - (4*c[10])/3 - 
       c[12] + c[14] - 5*c[25] + 2*c[26])*F1[w, u, v]*HPL[{0, 1}, 1 - w] + 
     ((-3*c[8])/4 + (3*c[9])/4)*HPL[{1}, 1 - u]*J1[u, v, w] + 
     ((21*c[1])/16 + (9*c[2])/8 + c[3]/6 + 2*c[6] + (5*c[7])/8 + 
       (153*c[8])/16 + (13*c[9])/2 + (27*c[10])/8 - (3*c[12])/4 - c[13]/8 + 
       (5*c[14])/8 + c[15]/2 - c[19]/8 + (3*c[23])/4 + (3*c[24])/8 - 
       (33*c[25])/16 + (19*c[26])/16)*HPL[{1}, 1 - v]*J1[u, v, w] + 
     ((3*c[8])/4 - (3*c[9])/4)*HPL[{1}, 1 - w]*J1[u, v, w] + 
     ((3*c[8])/4 + (3*c[9])/4)*HPL[{1}, 1 - u]*J1[v, w, u] + 
     ((-23*c[1])/16 + c[2]/8 - (5*c[3])/2 - (3*c[6])/4 + (5*c[7])/8 - 
       c[8]/16 - 6*c[9] + (73*c[10])/24 - (3*c[12])/4 - c[13]/8 + 
       (13*c[14])/8 - c[19]/8 + (3*c[23])/4 - c[24]/8 + (31*c[25])/16 - 
       (39*c[26])/16)*HPL[{1}, 1 - v]*J1[v, w, u] + 
     ((-3*c[8])/4 - (3*c[9])/4)*HPL[{1}, 1 - w]*J1[v, w, u] + 
     ((-3*c[8])/4 - (3*c[9])/4)*HPL[{1}, 1 - u]*J1[w, u, v] + 
     ((21*c[1])/16 - (31*c[2])/8 + (5*c[3])/3 + (3*c[5])/2 + (17*c[7])/8 - 
       (17*c[8])/16 - (5*c[9])/4 - (103*c[10])/24 + (3*c[12])/4 - 
       (5*c[13])/8 - (11*c[14])/8 - c[15]/2 - (5*c[19])/8 - c[22]/2 - 
       (5*c[23])/4 + c[24]/8 - (61*c[25])/16 + (27*c[26])/16)*HPL[{1}, 1 - v]*
      J1[w, u, v] + ((3*c[8])/4 + (3*c[9])/4)*HPL[{1}, 1 - w]*J1[w, u, v] + 
     ((-3*c[1])/2 - c[3] - c[7] + 2*c[8] - 2*c[9] + c[10]/3 - c[23] - c[24] + 
       3*c[25] - (3*c[26])/2)*HPL[{1}, 1 - u]*K1[u, v, w] + 
     ((9*c[1])/2 - 2*c[2] - c[3] + 5*c[6] + 5*c[7] + (23*c[8])/4 + 
       (25*c[9])/2 + (22*c[10])/3 - 2*c[12] + 2*c[14] + c[15] + c[21] + 
       c[23] + (5*c[24])/2 - (9*c[25])/2 + 2*c[26])*HPL[{1}, 1 - v]*
      K1[u, v, w] + ((3*c[1])/2 + c[3] + c[7] - 2*c[8] + 2*c[9] - c[10]/3 + 
       c[23] + c[24] - 3*c[25] + (3*c[26])/2)*HPL[{1}, 1 - w]*K1[u, v, w] + 
     (c[2] - c[3]/3 + 2*c[8] - (5*c[9])/2 - c[10]/3 + c[25]/2 - c[26]/2)*
      HPL[{1}, 1 - u]*K1[v, w, u] + ((-13*c[1])/2 + c[2] - (4*c[3])/3 - 
       2*c[6] - 4*c[7] + c[8]/4 - 15*c[9] + 2*c[10] + c[12] + c[15] + c[21] - 
       4*c[23] - (7*c[24])/2 + 8*c[25] - 7*c[26])*HPL[{1}, 1 - v]*
      K1[v, w, u] + (-c[2] + c[3]/3 - 2*c[8] + (5*c[9])/2 + c[10]/3 - 
       c[25]/2 + c[26]/2)*HPL[{1}, 1 - w]*K1[v, w, u] + 
     (-c[2] + c[3] - c[6] - 3*c[8] + c[9] - c[10]/3 + c[15] + c[19])*
      HPL[{1}, 1 - u]*K1[w, u, v] + (3*c[1] - 5*c[2] + (8*c[3])/3 + 3*c[5] - 
       c[6]/2 + 4*c[7] - (5*c[8])/4 + c[9] - (22*c[10])/3 - c[13] - c[14] - 
       2*c[15] - c[19] - c[21] - c[22] + c[23] + c[24] - (25*c[25])/2 + 
       (25*c[26])/4)*HPL[{1}, 1 - v]*K1[w, u, v] + 
     (c[2] - c[3] + c[6] + 3*c[8] - c[9] + c[10]/3 - c[15] - c[19])*
      HPL[{1}, 1 - w]*K1[w, u, v] - c[9]*HPL[{1}, 1 - u]^3*Phi6[u, v, w] + 
     (c[1]/4 - 2*c[2] + (11*c[3])/6 - c[7] - 4*c[8] + (5*c[9])/2 - 
       (13*c[10])/3 + c[12] - (3*c[14])/2 - c[15]/2 - c[23] - c[25]/4 + 
       c[26])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Phi6[u, v, w] + 
     ((9*c[1])/2 - (4*c[3])/3 + 5*c[7] - 4*c[8] + 8*c[9] + (7*c[10])/3 - 
       2*c[12] + 2*c[14] - c[15] - c[21] + 5*c[23] + 3*c[24] - 6*c[25] + 
       (9*c[26])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Phi6[u, v, w] + 
     (c[1]/4 + 2*c[2] - (3*c[5])/2 + (3*c[6])/4 - (3*c[7])/2 + (3*c[8])/2 + 
       4*c[9] + c[10] + c[13]/2 + c[15]/2 + c[19]/2 + c[22]/2 + c[23]/2 + 
       c[24]/4 + (3*c[25])/4 + (3*c[26])/8)*HPL[{1}, 1 - v]^3*Phi6[u, v, w] + 
     ((3*c[1])/2 + c[3] + c[7] - 3*c[8] + 4*c[9] - c[10]/3 + c[23] + c[24] - 
       3*c[25] + (3*c[26])/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      Phi6[u, v, w] + (-3*c[1] + 5*c[2] - (2*c[3])/3 - 2*c[6] - 4*c[7] + 
       7*c[8] - 9*c[9] - (7*c[10])/3 + c[12] - c[14] - c[15] - c[19] - 
       c[21] - 2*c[24] + (5*c[25])/2 - c[26])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Phi6[u, v, w] + ((-3*c[1])/2 + c[6] - 2*c[7] - 2*c[9] + 
       c[10] + c[12] - c[14] + c[15] + c[21] - 3*c[23] - c[24] + 6*c[25] - 
       (9*c[26])/2)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Phi6[u, v, w] + 
     ((-3*c[1])/2 - c[3] - c[7] + 4*c[8] - 3*c[9] + c[10]/3 - c[23] - c[24] + 
       3*c[25] - (3*c[26])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      Phi6[u, v, w] + ((-3*c[1])/2 + c[2] - c[3]/6 - (3*c[5])/2 - 
       (9*c[6])/4 - (3*c[7])/2 - (27*c[8])/4 - 2*c[9] + c[10]/3 + c[13]/2 + 
       c[14]/2 + c[15] + (3*c[19])/2 + c[22]/2 + c[23]/2 - c[24]/4 + 
       (15*c[25])/4 - (13*c[26])/8)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      Phi6[u, v, w] - c[8]*HPL[{1}, 1 - w]^3*Phi6[u, v, w] + 
     (c[8] + (3*c[25])/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w] + 
     (-c[6] - (3*c[8])/2 + 2*c[9] - c[25] - c[26]/2)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*Phi6[u, v, w] + (-c[8] - (3*c[25])/2)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w] + 
     (c[8] + (3*c[25])/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w] + 
     (c[8] + (3*c[25])/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w] + 
     (-c[8] - (3*c[25])/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w] + 
     (c[8] + (3*c[25])/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w] + 
     (c[8] + (3*c[25])/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w] + 
     (-2*c[8] - 3*c[25])*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w] + 
     (-2*c[8] - 3*c[25])*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w] + 
     (2*c[2] - (10*c[3])/3 - 4*c[6] - 4*c[8] - 6*c[9] - 4*c[12] + 4*c[14] + 
       2*c[25] - 2*c[26])*F1[u, v, w]*\[Zeta][2] + 
     (4*c[8] + 8*c[9] + (10*c[10])/3 - 4*c[25] + 4*c[26])*F1[w, u, v]*
      \[Zeta][2] + (3*c[1] - (14*c[3])/3 + 5*c[6] + 4*c[7] + 7*c[8] + 
       10*c[9] + 6*c[10] - 2*c[15] - 2*c[19] - 6*c[22] + 2*c[23] + 5*c[24] - 
       8*c[25] + (7*c[26])/2)*HPL[{1}, 1 - u]*Phi6[u, v, w]*\[Zeta][2] + 
     ((11*c[1])/2 - 3*c[2] - (16*c[3])/3 + 4*c[6] + 9*c[7] + (89*c[8])/2 - 
       5*c[9] + 7*c[10] - 2*c[12] - 3*c[13] + 3*c[14] - 3*c[19] - 2*c[21] + 
       6*c[23] + 3*c[24] - (11*c[25])/2 - c[26]/2)*HPL[{1}, 1 - v]*
      Phi6[u, v, w]*\[Zeta][2] + (-3*c[1] + (14*c[3])/3 - 5*c[6] - 4*c[7] - 
       7*c[8] - 10*c[9] - 6*c[10] + 2*c[15] + 2*c[19] + 6*c[22] - 2*c[23] - 
       5*c[24] + 8*c[25] - (7*c[26])/2)*HPL[{1}, 1 - w]*Phi6[u, v, w]*
      \[Zeta][2]
 
 
CuvwCoproductEntries[v] = ((-3*c[1])/2 - 2*c[2] - c[3] - 3*c[5] + 
       (13*c[6])/2 + 5*c[7] + 24*c[8] - (27*c[9])/2 - 5*c[10] + c[12] - 
       c[14] + c[15] + c[19] + c[21] + c[22] - c[23] - c[24]/2 - 9*c[25] + 
       (15*c[26])/4)*G[u, v, w]*HPL[{1}, 1 - u] + 
     ((3*c[1])/4 - 3*c[2] - c[3]/3 - (3*c[5])/2 - 2*c[6] + 4*c[7] - 
       (13*c[8])/2 - c[9] - c[10]/3 - c[22]/2 + c[23]/2 - (15*c[25])/4 + 
       (3*c[26])/2)*H1[u, v, w]*HPL[{1}, 1 - u] + 
     ((-9*c[1])/4 - 5*c[2] + c[3]/3 + (9*c[5])/2 + 2*c[6] - 2*c[7] + 
       (9*c[8])/2 + 2*c[9] - (7*c[10])/3 - c[22]/2 - (3*c[23])/2 - 2*c[24] + 
       (13*c[25])/4 + c[26]/2)*H1[v, w, u]*HPL[{1}, 1 - u] + 
     ((3*c[1])/4 + 5*c[2] - c[3]/3 - (3*c[5])/2 + 3*c[6] - 2*c[7] + 
       (21*c[8])/2 - 3*c[9] + c[10] + (3*c[22])/2 + c[23]/2 + c[24] + 
       c[25]/4 - c[26])*H1[w, u, v]*HPL[{1}, 1 - u] + 
     ((3*c[1])/2 + 8*c[2] - 3*c[5] - 2*c[7] - 7*c[8] + 2*c[9] + (8*c[10])/3 + 
       3*c[22] + c[23] + 2*c[24] + c[25]/2 - 2*c[26])*F1[u, v, w]*
      HPL[{1}, 1 - u]^2 + ((-3*c[1])/2 + (7*c[2])/2 + c[3]/2 - 3*c[6] - 
       (3*c[7])/2 - (15*c[8])/4 - (15*c[9])/4 - (3*c[10])/2 + c[12] - c[14] - 
       c[15]/2 - c[19]/2 + c[21] - 2*c[23] - c[24]/2 + c[25]/2 + c[26]/4)*
      F1[v, w, u]*HPL[{1}, 1 - u]^2 + ((-3*c[1])/2 - 2*c[2] + (3*c[6])/2 + 
       c[7] + 5*c[8] - 5*c[9] - (4*c[10])/3 - c[22] - c[24]/2 + c[25] - 
       c[26]/4)*F1[w, u, v]*HPL[{1}, 1 - u]^2 + 
     (2*c[2] - (4*c[3])/3 + 2*c[5] - 2*c[7] - c[8] - (3*c[9])/2 + 2*c[10] + 
       c[12] - c[14] - c[15] + c[21] + c[22] - 3*c[23] + (5*c[25])/2 - 
       (5*c[26])/2)*G[u, v, w]*HPL[{1}, 1 - v] + 
     (-c[3]/6 + c[5] - 2*c[9] + c[10]/3)*H1[u, v, w]*HPL[{1}, 1 - v] + 
     (c[3]/2 - 3*c[5] + 2*c[9] + (5*c[10])/3)*H1[v, w, u]*HPL[{1}, 1 - v] + 
     (-c[3]/6 + c[5] + 2*c[9] - c[10])*H1[w, u, v]*HPL[{1}, 1 - v] + 
     (6*c[2] + c[3]/3 + 2*c[5] - (5*c[6])/2 - 3*c[7] + (9*c[8])/4 - 
       (15*c[9])/4 - (10*c[10])/3 + c[12] - c[14] + c[21] - c[22] - 2*c[23] + 
       (7*c[25])/2 - c[26]/2)*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + 
     (6*c[1] + 8*c[2] - (2*c[3])/3 - 3*c[5] - (3*c[6])/2 - (25*c[8])/2 + 
       (25*c[9])/2 + c[10] + c[12] - c[14] + c[21] - 2*c[22] - 2*c[23] + 
       (5*c[24])/2 - (5*c[25])/2 - (11*c[26])/4)*F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v] + ((3*c[1])/2 - c[2] + c[7] - (13*c[8])/2 - c[9]/2 + 
       (2*c[10])/3 + c[15] + c[19] - c[22] + c[24] - (7*c[25])/2 + c[26]/2)*
      F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + 
     ((-3*c[1])/2 + c[2] - (2*c[3])/3 + c[6]/2 - c[7] + c[8]/2 - (5*c[9])/2 - 
       (2*c[10])/3 + c[12] - c[14] + c[21] - 3*c[23] - c[24]/2 + 3*c[25] - 
       (9*c[26])/4)*F1[u, v, w]*HPL[{1}, 1 - v]^2 + 
     (-c[3]/3 + 2*c[5] - 4*c[9] - (2*c[10])/3)*F1[v, w, u]*
      HPL[{1}, 1 - v]^2 + (c[2] - c[6] - c[7] - 2*c[8] + (2*c[10])/3 - 
       c[15] + c[22])*F1[w, u, v]*HPL[{1}, 1 - v]^2 + 
     ((3*c[1])/2 - c[2] - 4*c[3] - 10*c[5] + (3*c[6])/2 - 3*c[7] + 
       (45*c[8])/2 - 7*c[9] - (14*c[10])/3 + c[12] - c[13] + c[14] + 
       3*c[15] - 2*c[21] + c[22] + 9*c[23] + (15*c[24])/2 - c[25]/2 - 
       (5*c[26])/4)*G[u, v, w]*HPL[{1}, 1 - w] + 
     ((-3*c[1])/2 - c[2] - 4*c[3] + c[5] + 2*c[6] - c[7] + (17*c[8])/2 - 
       3*c[9] - (5*c[10])/3 - c[13]/2 + c[14] + (3*c[15])/2 + c[22]/2 + 
       c[24]/2 + c[25]/2 - c[26])*H1[u, v, w]*HPL[{1}, 1 - w] + 
     ((5*c[1])/2 + c[2] + (10*c[3])/3 + c[5] + 2*c[6] - c[7] + (17*c[8])/2 - 
       3*c[9] - 3*c[10] - c[13]/2 - c[14] - c[15]/2 + c[22]/2 + c[24]/2 + 
       c[25]/2 - c[26])*H1[v, w, u]*HPL[{1}, 1 - w] + 
     (-c[1]/2 + c[2] - (4*c[3])/3 - 7*c[5] - 7*c[6] + 3*c[7] - (49*c[8])/2 + 
       9*c[9] + (17*c[10])/3 + (3*c[13])/2 + c[14] - c[15]/2 - (3*c[22])/2 + 
       2*c[23] + (3*c[24])/2 - (3*c[25])/2 + (3*c[26])/2)*H1[w, u, v]*
      HPL[{1}, 1 - w] + ((-3*c[1])/2 - 6*c[2] + (2*c[3])/3 - 2*c[5] + c[6] + 
       3*c[7] + (11*c[8])/2 - (7*c[9])/2 - c[12] + c[14] - c[22] - c[24] + 
       c[25] + c[26]/2)*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + 
     ((-3*c[1])/2 - 5*c[2] + 3*c[3] - (3*c[6])/2 - 5*c[8] + (5*c[9])/2 - 
       2*c[10] + c[15] + c[19] - c[21] - c[22] + 2*c[23] + c[24]/2 - 
       (7*c[25])/2 + (11*c[26])/4)*F1[v, w, u]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w] + ((3*c[1])/2 + c[2] + c[3]/3 - 2*c[6] + c[7] - 
       c[9]/2 - c[10]/3 - c[21] - c[22] + 3*c[23] + c[24] - 3*c[25] + 
       3*c[26])*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + 
     (-4*c[2] + (4*c[3])/3 + c[6]/2 + c[8]/2 - 2*c[9] + (2*c[10])/3 - c[21] + 
       2*c[23] + c[24]/2 - c[25] + (7*c[26])/4)*F1[u, v, w]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w] + (-c[1]/2 - 2*c[2] - (4*c[3])/3 + 6*c[5] + 
       (11*c[6])/2 - 2*c[7] + (39*c[8])/2 - (15*c[9])/2 + c[10]/3 - c[12] - 
       c[13] + c[14] - c[21] + 2*c[22] + c[23] - (7*c[24])/2 + 12*c[25] - 
       (13*c[26])/4)*F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     ((3*c[1])/2 + 3*c[2] + (2*c[3])/3 - c[6]/2 - 4*c[7] + (7*c[8])/2 - 
       (3*c[9])/2 - (5*c[10])/3 + c[24]/2 + 2*c[25] - (5*c[26])/4)*
      F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     ((3*c[1])/2 + c[2] + c[7] + c[9]/2 - c[21] + 3*c[23] + c[24] - 3*c[25] + 
       3*c[26])*F1[u, v, w]*HPL[{1}, 1 - w]^2 + 
     (c[2]/2 + c[3]/6 - c[6]/2 - 3*c[7] + 4*c[8] - (11*c[9])/4 - 
       (3*c[10])/2 + c[24]/2 + (7*c[25])/4 - c[26])*F1[v, w, u]*
      HPL[{1}, 1 - w]^2 + (-c[1] + (10*c[3])/3 + 6*c[5] + 6*c[6] - 2*c[7] + 
       19*c[8] - 8*c[9] - 2*c[10] + c[12] - c[13] - 3*c[14] - c[15] + c[22] - 
       2*c[23] - 3*c[24] + 8*c[25] - 3*c[26])*F1[w, u, v]*HPL[{1}, 1 - w]^2 + 
     (4*c[2] - (2*c[3])/3 + 2*c[8] + c[12] - c[14] + 3*c[25])*F1[u, v, w]*
      HPL[{0, 1}, 1 - u] + (-3*c[1] + 2*c[3] + c[6] + c[8] - 4*c[9] - 
       (8*c[10])/3 + c[12] - c[14] + 2*c[21] - 4*c[23] - c[24] + c[25] + 
       c[26]/2)*F1[v, w, u]*HPL[{0, 1}, 1 - u] + 
     (10*c[8] - 3*c[9] - 2*c[22] + 4*c[25] - c[26])*F1[w, u, v]*
      HPL[{0, 1}, 1 - u] + (4*c[2] - (4*c[3])/3 + c[6] - 2*c[7] + 3*c[8] - 
       3*c[9] + (2*c[10])/3 + c[12] - c[14] - 2*c[23] - c[24] + 7*c[25] - 
       (5*c[26])/2)*F1[u, v, w]*HPL[{0, 1}, 1 - v] + 
     (3*c[1] + 4*c[2] + c[6] - 2*c[7] + 7*c[8] - 2*c[9] + c[24] - c[25] - 
       c[26]/2)*F1[w, u, v]*HPL[{0, 1}, 1 - v] + 
     (3*c[1] + (4*c[3])/3 - c[6] + 2*c[7] - 3*c[8] + 3*c[9] - (2*c[10])/3 - 
       c[12] + c[14] + 2*c[23] + c[24] - 7*c[25] + (5*c[26])/2)*F1[u, v, w]*
      HPL[{0, 1}, 1 - w] + (-c[6] + c[24] - 2*c[25] + c[26]/2)*F1[v, w, u]*
      HPL[{0, 1}, 1 - w] + (4*c[2] + 2*c[6] - 4*c[7] + 12*c[8] - c[9] - 
       (4*c[10])/3 + c[25] - c[26])*F1[w, u, v]*HPL[{0, 1}, 1 - w] + 
     ((-3*c[1])/16 - (13*c[2])/4 + c[3]/12 + (3*c[5])/8 - 2*c[6] + 2*c[7] - 
       (55*c[8])/8 + (5*c[9])/4 - (7*c[10])/12 - (7*c[22])/8 - c[23]/8 - 
       c[24]/2 - (17*c[25])/16 + (7*c[26])/8)*HPL[{1}, 1 - u]*J1[u, v, w] + 
     (c[3]/24 - c[5]/4 - (3*c[9])/2 + (7*c[10])/12)*HPL[{1}, 1 - v]*
      J1[u, v, w] + ((-13*c[1])/8 - (3*c[2])/4 - (7*c[3])/3 + (3*c[5])/4 - 
       c[6]/2 + c[7]/4 - (17*c[8])/8 + (3*c[9])/4 - c[10]/4 + c[13]/8 + 
       (3*c[14])/4 + (5*c[15])/8 - c[22]/8 - c[24]/8 - c[25]/8 + c[26]/4)*
      HPL[{1}, 1 - w]*J1[u, v, w] + ((-15*c[1])/16 - (11*c[2])/4 - c[3]/12 + 
       (15*c[5])/8 + 2*c[6] - c[7]/2 + (43*c[8])/8 - c[9]/2 - (17*c[10])/12 + 
       c[22]/8 - (5*c[23])/8 - c[24] + (11*c[25])/16 + (5*c[26])/8)*
      HPL[{1}, 1 - u]*J1[v, w, u] + ((5*c[3])/24 - (5*c[5])/4 + (3*c[9])/2 + 
       (11*c[10])/12)*HPL[{1}, 1 - v]*J1[v, w, u] + 
     ((11*c[1])/8 + (3*c[2])/4 + (5*c[3])/2 + (3*c[5])/4 - c[6]/2 + c[7]/4 - 
       (17*c[8])/8 + (3*c[9])/4 - (7*c[10])/12 + c[13]/8 - (3*c[14])/4 - 
       (7*c[15])/8 - c[22]/8 - c[24]/8 - c[25]/8 + c[26]/4)*HPL[{1}, 1 - w]*
      J1[v, w, u] + ((-3*c[1])/16 + (11*c[2])/4 + c[3]/12 + (3*c[5])/8 + 
       (7*c[6])/4 - (5*c[7])/2 + (47*c[8])/8 - c[9]/4 + (5*c[10])/12 + 
       (5*c[22])/8 - c[23]/8 + c[24]/4 + (31*c[25])/16 - c[26])*
      HPL[{1}, 1 - u]*J1[w, u, v] + (c[3]/24 - c[5]/4 + (3*c[9])/2 - 
       (5*c[10])/12)*HPL[{1}, 1 - v]*J1[w, u, v] + 
     (c[1]/8 + (3*c[2])/4 - c[3] - (21*c[5])/4 - (13*c[6])/4 + (5*c[7])/4 - 
       (79*c[8])/8 + (15*c[9])/4 + (31*c[10])/12 + (5*c[13])/8 + 
       (3*c[14])/4 + c[15]/8 - (5*c[22])/8 + (3*c[23])/2 + (13*c[24])/8 - 
       (5*c[25])/8 + c[26]/8)*HPL[{1}, 1 - w]*J1[w, u, v] + 
     ((3*c[1])/2 - 2*c[2] - 4*c[6] + 2*c[7] - (27*c[8])/2 + 6*c[9] + 
       (2*c[10])/3 - 3*c[25] + (3*c[26])/2)*HPL[{1}, 1 - u]*K1[u, v, w] + 
     ((-3*c[1])/2 + c[3]/3 - c[6]/2 - c[8]/2 + c[9] - c[10]/3 - c[24]/2 + 
       c[25]/2 + c[26]/4)*HPL[{1}, 1 - v]*K1[u, v, w] + 
     ((-7*c[1])/2 - 2*c[2] - (11*c[3])/3 + c[5] - c[7] - c[9]/2 - c[10]/3 + 
       c[14] + c[15] + c[21] - 3*c[23] - c[24] + 3*c[25] - 3*c[26])*
      HPL[{1}, 1 - w]*K1[u, v, w] + (-7*c[2] - (2*c[3])/3 + 3*c[5] + 
       (11*c[6])/2 + (23*c[8])/4 + (13*c[9])/4 - (2*c[10])/3 - c[12] + 
       c[14] - c[21] + c[22] + c[23] - c[24] + c[25] + c[26]/2)*
      HPL[{1}, 1 - u]*K1[v, w, u] + ((3*c[1])/2 - c[2] + c[3] - 2*c[5] - 
       c[6]/2 + c[7] - c[8]/2 + (9*c[9])/2 + (5*c[10])/3 - c[12] + c[14] - 
       c[21] + 3*c[23] + c[24]/2 - 3*c[25] + (9*c[26])/4)*HPL[{1}, 1 - v]*
      K1[v, w, u] + ((7*c[1])/2 + 5*c[2] + 2*c[3] + c[5] - c[9] - c[10] - 
       c[14] - c[15] + c[21] - 2*c[23] + c[25]/2 - 2*c[26])*HPL[{1}, 1 - w]*
      K1[v, w, u] + (5*c[2] - c[3]/3 + 3*c[6] - 4*c[7] + (31*c[8])/2 - 
       (7*c[9])/2 + c[10] - c[15] - c[19] + 2*c[22] + 5*c[25] - 2*c[26])*
      HPL[{1}, 1 - u]*K1[w, u, v] + (-c[2] + c[6] + c[7] + 2*c[8] + 2*c[9] - 
       (4*c[10])/3 + c[15] - c[22])*HPL[{1}, 1 - v]*K1[w, u, v] + 
     (c[2] - 2*c[3] - 7*c[5] - 4*c[6] + 4*c[7] - 20*c[8] + 7*c[9] + 
       (17*c[10])/3 + c[13] + c[14] - c[22] + 2*c[23] + 2*c[24] - 3*c[25] + 
       c[26])*HPL[{1}, 1 - w]*K1[w, u, v] + 
     ((3*c[1])/4 + 4*c[2] - (3*c[5])/2 - c[7] + c[8] - c[9]/2 + (4*c[10])/3 + 
       c[22]/2 + c[23]/2 + c[24] + c[25]/4 - c[26])*HPL[{1}, 1 - u]^3*
      Phi6[u, v, w] + ((-3*c[1])/2 + 3*c[2] + c[3]/2 + c[5] - 3*c[6] - c[7] + 
       (3*c[8])/4 - (13*c[9])/4 - (7*c[10])/3 + c[12] - c[14] + c[21] - 
       c[22] - 2*c[23] - c[24]/2 + c[25]/2 + c[26]/4)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*Phi6[u, v, w] + ((-3*c[1])/4 + c[2] - (2*c[3])/3 - 
       (3*c[5])/2 - 2*c[6] + c[7] - 7*c[8] - 2*c[9] + c[10]/3 + c[12] - 
       c[14] + c[21] - c[22]/2 - (5*c[23])/2 + (5*c[25])/4 - 2*c[26])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Phi6[u, v, w] + 
     (-c[3]/6 + c[5] - 2*c[9] - c[10]/3)*HPL[{1}, 1 - v]^3*Phi6[u, v, w] + 
     ((-3*c[1])/2 - 2*c[2] - c[5] + 2*c[6] + c[7] + (29*c[8])/4 - 
       (11*c[9])/2 - c[10]/3 - (3*c[22])/2 - c[24]/2 + c[25] - c[26]/4)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Phi6[u, v, w] + 
     ((3*c[1])/2 - 2*c[2] + (4*c[3])/3 + c[6]/2 - (13*c[8])/2 - (3*c[9])/4 + 
       c[10]/3 + c[15] + c[19] - c[21] - c[22] + 2*c[23] + (3*c[24])/2 - 
       4*c[25] + (5*c[26])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Phi6[u, v, w] + (-c[1] - c[3] + 3*c[5] + (3*c[6])/2 - 2*c[7] + 6*c[8] - 
       3*c[9] - (2*c[10])/3 - c[13]/2 - c[15]/2 + (3*c[22])/2 - c[23] - 
       c[24] + c[25]/2 - c[26]/4)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      Phi6[u, v, w] + ((3*c[1])/2 + c[2] + c[3]/3 + (3*c[7])/2 - c[8]/4 + 
       c[9]/8 - c[10]/3 - c[21] + 3*c[23] + c[24] - (15*c[25])/4 + 
       (27*c[26])/8)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Phi6[u, v, w] + 
     ((5*c[3])/6 - c[6] - 2*c[7] + 4*c[8] - c[9] - (11*c[10])/6 + 2*c[25] - 
       c[26]/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Phi6[u, v, w] + 
     (c[1] + (20*c[3])/9 + 3*c[5] + (5*c[6])/2 - c[7] + 8*c[8] - 3*c[9] - 
       (14*c[10])/9 - c[13]/2 - c[14] - c[15]/2 + c[22]/2 - c[23] - c[24] + 
       c[25]/2 - c[26]/4)*HPL[{1}, 1 - w]^3*Phi6[u, v, w] + 
     (7*c[8] - 3*c[9] - 2*c[22] - 3*c[25])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      Phi6[u, v, w] + (4*c[2] - (2*c[3])/3 - c[8] - c[9] + (2*c[10])/3 + 
       c[12] - c[14] - (3*c[25])/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      Phi6[u, v, w] + (8*c[8] - 9*c[9] + (3*c[25])/2)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w] + (4*c[2] - (4*c[3])/3 - 2*c[7] - 
       c[9] - (2*c[10])/3 + c[12] - c[14] - 2*c[23])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*Phi6[u, v, w] + (3*c[6] + 10*c[8])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*Phi6[u, v, w] + (3*c[1] + (4*c[3])/3 - c[6] - c[8] + 
       2*c[9] - (4*c[10])/3 - c[12] + c[14] + c[24] - 4*c[25] + (5*c[26])/2)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w] + 
     ((-39*c[1])/2 - 12*c[2] + (8*c[3])/3 + 9*c[5] - 4*c[6] - 4*c[7] - 
       2*c[8] - 16*c[9] - 16*c[10] + 2*c[12] - 2*c[14] + 2*c[15] + 2*c[19] + 
       2*c[21] - 7*c[22] - 7*c[23] - 8*c[24] + (9*c[25])/2 + 3*c[26])*
      HPL[{1}, 1 - u]*Phi6[u, v, w]*\[Zeta][2] + 
     (4*c[2] - c[3] - 6*c[5] - 4*c[7] - 2*c[8] - 7*c[9] + 6*c[10] + 2*c[12] - 
       2*c[14] - 2*c[15] + 2*c[21] + 2*c[22] - 6*c[23] + 5*c[25] - 5*c[26])*
      HPL[{1}, 1 - v]*Phi6[u, v, w]*\[Zeta][2] + 
     (-c[1] - 4*c[2] + (10*c[3])/3 - 10*c[5] - 19*c[6] + 4*c[7] - 40*c[8] + 
       26*c[9] - (2*c[10])/3 + 3*c[13] + 2*c[14] - c[15] - 4*c[21] - 
       3*c[22] + 14*c[23] + 8*c[24] - 9*c[25] + (33*c[26])/2)*HPL[{1}, 1 - w]*
      Phi6[u, v, w]*\[Zeta][2]
 
 
CuvwCoproductEntries[1 - w] = -2*A1[v, w, u]*c[1] + A4[w, u, v]*c[1] + 
     A4[u, v, w]*(c[2] + c[3]/3) + A1[u, w, v]*c[4] + 
     A6[u, v, w]*(-c[6] - 2*c[8]) + (A2[v, u, w]*c[8])/2 - A4[v, w, u]*c[8] + 
     A11[u, v, w]*(-c[2] - c[3]/3 - c[6] + 2*c[8] - 2*c[9]) + 
     A2[u, w, v]*(-c[2] + c[7] - c[9]) + A3[w, u, v]*(c[3] - (4*c[10])/3) + 
     A2[v, w, u]*(-c[8] - (2*c[10])/3) - (2*A3[v, w, u]*c[10])/3 + 
     A3[u, v, w]*c[13] + A1[u, v, w]*(c[16] + c[19]) + 
     A2[u, v, w]*(-c[10]/3 + c[20]) + A6[w, u, v]*((-2*c[3])/3 + c[7] - 
       (3*c[8])/2 + c[9] + c[10] + c[20]) + A10[u, v, w]*
      (-2*c[6] - 2*c[8] - 3*c[9] + c[25] - c[26]) + 
     A10[w, u, v]*(3*c[1] + 6*c[2] + 3*c[6] + 2*c[7] + 6*c[8] + 12*c[9] + 
       8*c[10] + c[17] + 2*c[22] + c[24] - 2*c[25] + c[26]/2) + 
     A10[v, w, u]*(2*c[8] + 4*c[9] + (10*c[10])/3 - 2*c[25] + 2*c[26] + 
       c[27]) + (3*c[1] + c[3]/3 + (3*c[6])/2 + 2*c[7] - (3*c[8])/2 + 
       4*c[9] + (5*c[10])/3 - c[12] + c[14] - c[19] - c[22] + c[23] + 
       (3*c[24])/2 - (9*c[25])/2 + (9*c[26])/4)*G[u, v, w]*HPL[{1}, 1 - u] + 
     (-c[2] + c[8] + c[9])*H1[u, v, w]*HPL[{1}, 1 - u] + 
     (-c[2] - c[8] + c[9])*H1[v, w, u]*HPL[{1}, 1 - u] + 
     (c[2] - c[8] - c[9])*H1[w, u, v]*HPL[{1}, 1 - u] + 
     (2*c[2] - 2*c[9])*F1[u, v, w]*HPL[{1}, 1 - u]^2 + 
     ((3*c[1])/2 - 2*c[2] + c[3]/3 + c[7] - 3*c[8] + 3*c[9] - c[10]/3 - 
       c[12] + c[14] + c[23] + c[24] - 3*c[25] + (3*c[26])/2)*F1[v, w, u]*
      HPL[{1}, 1 - u]^2 + (c[2] + c[3]/3 - c[8] + (7*c[9])/2 + c[10]/3 - 
       c[25]/2 + c[26]/2)*F1[w, u, v]*HPL[{1}, 1 - u]^2 + 
     (-3*c[1] - c[3]/3 - (3*c[6])/2 - 2*c[7] + (3*c[8])/2 - 4*c[9] - 
       (5*c[10])/3 + c[12] - c[14] + c[19] + c[22] - c[23] - (3*c[24])/2 + 
       (9*c[25])/2 - (9*c[26])/4)*G[u, v, w]*HPL[{1}, 1 - v] + 
     (c[2] - c[8] - c[9])*H1[u, v, w]*HPL[{1}, 1 - v] + 
     (c[2] + c[8] - c[9])*H1[v, w, u]*HPL[{1}, 1 - v] + 
     (-c[2] + c[8] + c[9])*H1[w, u, v]*HPL[{1}, 1 - v] + 
     ((3*c[1])/2 - 4*c[2] + c[3]/3 + 2*c[6] + c[7] + (3*c[8])/2 + 
       (3*c[9])/2 - c[10]/3 - c[12] + c[14] - c[22] + c[23] + c[24] - 
       3*c[25] + (3*c[26])/2)*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + 
     ((-3*c[1])/2 + 2*c[2] - c[3]/3 - c[6]/2 - c[7] - 2*c[8] - (5*c[9])/2 + 
       c[10]/3 + c[12] - c[14] - c[23] - c[24]/2 - (3*c[26])/4)*F1[v, w, u]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + (-c[2] - (2*c[3])/3 + c[6] + 3*c[8] - 
       (11*c[9])/2 - c[19] + c[25]/2 - c[26]/2)*F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v] + ((-3*c[1])/2 + 2*c[2] - c[3]/3 - c[7] + 3*c[8] - 
       3*c[9] + c[10]/3 + c[12] - c[14] - c[23] - c[24] + 3*c[25] - 
       (3*c[26])/2)*F1[u, v, w]*HPL[{1}, 1 - v]^2 + 
     (-2*c[8] + c[10]/3)*F1[v, w, u]*HPL[{1}, 1 - v]^2 + 
     (c[3]/3 - c[6] - 2*c[8] + 2*c[9] - c[10]/3 + c[19])*F1[w, u, v]*
      HPL[{1}, 1 - v]^2 + ((-17*c[1])/2 + 7*c[2] + (34*c[3])/3 + 24*c[5] - 
       22*c[6] - 2*c[7] - (131*c[8])/2 + (81*c[9])/2 + 10*c[10] + 3*c[12] + 
       c[13] - 6*c[14] + c[15] + c[19] - c[21] - 8*c[22] - 4*c[23] - 
       9*c[24] + (39*c[25])/2 + 4*c[26])*G[u, v, w]*HPL[{1}, 1 - w] + 
     ((-15*c[1])/4 - (7*c[2])/2 - 5*c[6] + (3*c[7])/2 - (59*c[8])/4 - 
       4*c[9] + (31*c[10])/6 + c[12] + c[13]/2 - c[14]/2 + 2*c[15] + 
       c[19]/2 + c[23] - (3*c[24])/2 + c[25]/4 - c[26]/4)*H1[u, v, w]*
      HPL[{1}, 1 - w] + ((-3*c[1])/4 + (17*c[2])/2 - 4*c[3] + (3*c[7])/2 + 
       (3*c[8])/4 + 10*c[9] + (13*c[10])/2 + c[12] + c[13]/2 - c[14]/2 + 
       c[19]/2 + c[23] + c[24]/2 - (7*c[25])/4 + (5*c[26])/4)*H1[v, w, u]*
      HPL[{1}, 1 - w] + ((9*c[1])/4 - (11*c[2])/2 + (14*c[3])/3 + 6*c[5] + 
       2*c[6] - c[7]/2 + (29*c[8])/4 + c[9] - (49*c[10])/6 - c[12] - 
       (3*c[13])/2 - c[14]/2 - 2*c[15] - (3*c[19])/2 - 2*c[22] - 3*c[23] - 
       c[24]/2 + (5*c[25])/4 + c[26]/4)*H1[w, u, v]*HPL[{1}, 1 - w] + 
     ((7*c[1])/2 - 3*c[2] + (14*c[3])/3 - c[6]/2 - 2*c[7] - (55*c[8])/4 + 
       (7*c[9])/4 - 9*c[10] - 2*c[12] + c[14] - c[15] + c[22] - 2*c[23] - 
       c[25]/2 + 2*c[26])*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + 
     (-3*c[1] + c[2] + c[3]/3 - c[6] - 6*c[7] + (17*c[8])/2 - (13*c[9])/2 - 
       2*c[10] + c[12] - c[14] + c[15] - c[19] - c[21] - c[22] - c[24] - 
       c[25] - c[26]/2)*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + 
     ((5*c[1])/2 - 6*c[2] - c[3]/3 - 3*c[5] - (5*c[6])/2 + 3*c[7] - c[8]/2 + 
       (17*c[9])/2 + c[10] - c[12] + 2*c[14] + c[15] - c[21] + 6*c[23] + 
       (7*c[24])/2 - (9*c[25])/2 + (15*c[26])/4)*F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w] + (-3*c[1] + c[3]/3 - (5*c[6])/2 - 4*c[7] + 
       (15*c[8])/2 - 9*c[9] - (8*c[10])/3 + c[12] - c[14] + c[15] - c[21] - 
       (3*c[24])/2 + (11*c[25])/2 - c[26]/4)*F1[u, v, w]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w] + (c[1]/2 + 2*c[2] + (7*c[3])/3 - 3*c[5] - 3*c[6] - 
       3*c[7] - 11*c[8] - (13*c[9])/2 + (2*c[10])/3 + c[13] + c[15] + 
       2*c[19] + c[22] + c[23] - c[24] + 9*c[25] - 4*c[26])*F1[v, w, u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + (-c[1] + 2*c[2] + (8*c[3])/3 + 
       6*c[5] + (7*c[6])/2 + 2*c[7] + (7*c[8])/2 - (15*c[9])/2 + c[10]/3 + 
       c[12] - c[13] - 3*c[14] - c[15] + c[21] - 5*c[23] - (5*c[24])/2 + 
       8*c[25] - (15*c[26])/4)*F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     ((9*c[1])/2 - 6*c[2] + 2*c[3] + 5*c[7] - 4*c[8] + 8*c[9] + (7*c[10])/3 - 
       c[12] + c[14] - c[21] + 5*c[23] + 3*c[24] - 6*c[25] + (9*c[26])/2)*
      F1[u, v, w]*HPL[{1}, 1 - w]^2 + ((-9*c[1])/2 + 7*c[2] - 2*c[3] + c[6] - 
       2*c[7] + 2*c[8] - 2*c[9] + c[10] + c[12] - c[14] + c[21] - 3*c[23] - 
       c[24] + 9*c[25] - (9*c[26])/2)*F1[v, w, u]*HPL[{1}, 1 - w]^2 + 
     (6*c[2] - 3*c[3] - 3*c[5] + (3*c[6])/2 - 3*c[7] + 3*c[8] + 8*c[9] + 
       2*c[10] + c[13] + c[14] + c[19] + c[22] + c[23] + c[24]/2 + 
       (3*c[25])/2 + (3*c[26])/4)*F1[w, u, v]*HPL[{1}, 1 - w]^2 + 
     (8*c[8] - c[25] + c[26])*F1[u, v, w]*HPL[{0, 1}, 1 - u] + 
     (-8*c[8] + (2*c[10])/3 + c[25] - c[26])*F1[v, w, u]*HPL[{0, 1}, 1 - u] + 
     (-8*c[2] + (7*c[3])/3 + 3*c[5] - c[6]/2 + 4*c[7] - (13*c[8])/2 - 
       (11*c[9])/2 - 2*c[10] - c[13] - c[14] + c[22] - c[23] - c[24]/2 + 
       4*c[25] - (11*c[26])/4)*F1[w, u, v]*HPL[{0, 1}, 1 - u] + 
     (3*c[6] + 3*c[8] + c[9] + (5*c[25])/2 - c[26])*F1[u, v, w]*
      HPL[{0, 1}, 1 - v] + ((-4*c[10])/3 - 5*c[25] + 2*c[26])*F1[v, w, u]*
      HPL[{0, 1}, 1 - v] + (3*c[1] - 4*c[2] + (7*c[3])/3 + 3*c[5] + 
       (5*c[6])/2 + 2*c[7] + (21*c[8])/2 + (15*c[9])/2 - 2*c[10] - c[13] - 
       c[14] - c[22] - c[23] + c[24]/2 - (11*c[25])/2 + (11*c[26])/4)*
      F1[w, u, v]*HPL[{0, 1}, 1 - v] + (-4*c[6] - 7*c[8] - 3*c[9] - 4*c[25] + 
       c[26])*F1[u, v, w]*HPL[{0, 1}, 1 - w] + 
     (2*c[6] - 4*c[7] + 6*c[8] - 2*c[9] - 2*c[10] - 2*c[23] - 2*c[24] + 
       c[25] - c[26])*F1[v, w, u]*HPL[{0, 1}, 1 - w] + 
     (-c[8] - (3*c[25])/2)*F1[w, u, v]*HPL[{0, 1}, 1 - w] + 
     ((-3*c[2])/4 + (3*c[8])/4 + (3*c[9])/4)*HPL[{1}, 1 - u]*J1[u, v, w] + 
     ((3*c[2])/4 - (3*c[8])/4 - (3*c[9])/4)*HPL[{1}, 1 - v]*J1[u, v, w] + 
     ((-9*c[1])/16 + (7*c[2])/8 + c[3]/3 - (3*c[6])/4 + (5*c[7])/8 - 
       c[8]/16 - 6*c[9] + (73*c[10])/24 + (3*c[12])/4 - c[13]/8 - 
       (7*c[14])/8 + c[15]/2 - c[19]/8 + (3*c[23])/4 - c[24]/8 + 
       (31*c[25])/16 - (39*c[26])/16)*HPL[{1}, 1 - w]*J1[u, v, w] + 
     ((-3*c[2])/4 - (3*c[8])/4 + (3*c[9])/4)*HPL[{1}, 1 - u]*J1[v, w, u] + 
     ((3*c[2])/4 + (3*c[8])/4 - (3*c[9])/4)*HPL[{1}, 1 - v]*J1[v, w, u] + 
     ((-29*c[1])/16 + (15*c[2])/8 - (11*c[3])/3 + 2*c[6] + (5*c[7])/8 + 
       (153*c[8])/16 + (13*c[9])/2 + (27*c[10])/8 + (3*c[12])/4 - c[13]/8 + 
       c[14]/8 - c[19]/8 + (3*c[23])/4 + (3*c[24])/8 - (33*c[25])/16 + 
       (19*c[26])/16)*HPL[{1}, 1 - w]*J1[v, w, u] + 
     ((3*c[2])/4 - (3*c[8])/4 - (3*c[9])/4)*HPL[{1}, 1 - u]*J1[w, u, v] + 
     ((-3*c[2])/4 + (3*c[8])/4 + (3*c[9])/4)*HPL[{1}, 1 - v]*J1[w, u, v] + 
     ((15*c[1])/16 - (37*c[2])/8 + (3*c[3])/2 + (3*c[5])/2 + (17*c[7])/8 - 
       (17*c[8])/16 - (5*c[9])/4 - (103*c[10])/24 - (3*c[12])/4 - 
       (5*c[13])/8 + c[14]/8 - c[15]/2 - (5*c[19])/8 - c[22]/2 - 
       (5*c[23])/4 + c[24]/8 - (61*c[25])/16 + (27*c[26])/16)*HPL[{1}, 1 - w]*
      J1[w, u, v] + (-2*c[2] - c[3]/3 + 2*c[8] - (5*c[9])/2 - c[10]/3 + 
       c[25]/2 - c[26]/2)*HPL[{1}, 1 - u]*K1[u, v, w] + 
     (2*c[2] + c[3]/3 - 2*c[8] + (5*c[9])/2 + c[10]/3 - c[25]/2 + c[26]/2)*
      HPL[{1}, 1 - v]*K1[u, v, w] + (-6*c[1] + 6*c[2] - (5*c[3])/3 - 2*c[6] - 
       4*c[7] + c[8]/4 - 15*c[9] + 2*c[10] + 2*c[12] - 2*c[14] + c[15] + 
       c[21] - 4*c[23] - (7*c[24])/2 + 8*c[25] - 7*c[26])*HPL[{1}, 1 - w]*
      K1[u, v, w] + ((-3*c[1])/2 + c[2] - c[3]/3 - c[7] + 2*c[8] - 2*c[9] + 
       c[10]/3 + c[12] - c[14] - c[23] - c[24] + 3*c[25] - (3*c[26])/2)*
      HPL[{1}, 1 - u]*K1[v, w, u] + ((3*c[1])/2 - c[2] + c[3]/3 + c[7] - 
       2*c[8] + 2*c[9] - c[10]/3 - c[12] + c[14] + c[23] + c[24] - 3*c[25] + 
       (3*c[26])/2)*HPL[{1}, 1 - v]*K1[v, w, u] + 
     (c[1] + 3*c[2] - (16*c[3])/3 + 5*c[6] + 5*c[7] + (23*c[8])/4 + 
       (25*c[9])/2 + (22*c[10])/3 + c[14] - c[15] + c[21] + c[23] + 
       (5*c[24])/2 - (9*c[25])/2 + 2*c[26])*HPL[{1}, 1 - w]*K1[v, w, u] + 
     (c[2] + c[3]/3 - c[6] - 3*c[8] + c[9] - c[10]/3 + c[19])*HPL[{1}, 1 - u]*
      K1[w, u, v] + (-c[2] - c[3]/3 + c[6] + 3*c[8] - c[9] + c[10]/3 - c[19])*
      HPL[{1}, 1 - v]*K1[w, u, v] + (6*c[1] - 13*c[2] + (14*c[3])/3 + 
       3*c[5] - c[6]/2 + 4*c[7] - (5*c[8])/4 + c[9] - (22*c[10])/3 - 
       2*c[12] - c[13] + c[14] - c[15] - c[19] - c[21] - c[22] + c[23] + 
       c[24] - (25*c[25])/2 + (25*c[26])/4)*HPL[{1}, 1 - w]*K1[w, u, v] + 
     (c[2] - c[9])*HPL[{1}, 1 - u]^3*Phi6[u, v, w] + 
     ((3*c[1])/2 - 3*c[2] + c[3]/3 + c[7] - 3*c[8] + 4*c[9] - c[10]/3 - 
       c[12] + c[14] + c[23] + c[24] - 3*c[25] + (3*c[26])/2)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Phi6[u, v, w] + 
     ((-3*c[1])/2 + 2*c[2] - c[3]/3 - c[7] + 4*c[8] - 3*c[9] + c[10]/3 + 
       c[12] - c[14] - c[23] - c[24] + 3*c[25] - (3*c[26])/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*Phi6[u, v, w] - c[8]*HPL[{1}, 1 - v]^3*
      Phi6[u, v, w] + ((7*c[1])/4 - c[2] + (5*c[3])/2 - c[7] - 4*c[8] + 
       (5*c[9])/2 - (13*c[10])/3 - c[12] + c[14]/2 - c[15]/2 - c[23] - 
       c[25]/4 + c[26])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Phi6[u, v, w] + 
     (-3*c[1] - 2*c[6] - 4*c[7] + 7*c[8] - 9*c[9] - (7*c[10])/3 + c[12] - 
       c[14] + c[15] - c[19] - c[21] - 2*c[24] + (5*c[25])/2 - c[26])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Phi6[u, v, w] + 
     (c[1]/4 + c[2] + (4*c[3])/3 - (3*c[5])/2 - (9*c[6])/4 - (3*c[7])/2 - 
       (27*c[8])/4 - 2*c[9] + c[10]/3 + c[13]/2 + c[15]/2 + (3*c[19])/2 + 
       c[22]/2 + c[23]/2 - c[24]/4 + (15*c[25])/4 - (13*c[26])/8)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Phi6[u, v, w] + 
     ((9*c[1])/2 - 6*c[2] + 2*c[3] + 5*c[7] - 4*c[8] + 8*c[9] + (7*c[10])/3 - 
       c[12] + c[14] - c[21] + 5*c[23] + 3*c[24] - 6*c[25] + (9*c[26])/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Phi6[u, v, w] + 
     ((-9*c[1])/2 + 7*c[2] - 2*c[3] + c[6] - 2*c[7] - 2*c[9] + c[10] + 
       c[12] - c[14] + c[21] - 3*c[23] - c[24] + 6*c[25] - (9*c[26])/2)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Phi6[u, v, w] + 
     (3*c[2] - (3*c[3])/2 - (3*c[5])/2 + (3*c[6])/4 - (3*c[7])/2 + 
       (3*c[8])/2 + 4*c[9] + c[10] + c[13]/2 + c[14]/2 + c[19]/2 + c[22]/2 + 
       c[23]/2 + c[24]/4 + (3*c[25])/4 + (3*c[26])/8)*HPL[{1}, 1 - w]^3*
      Phi6[u, v, w] + (c[8] + (3*c[25])/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      Phi6[u, v, w] + (-c[8] - (3*c[25])/2)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*Phi6[u, v, w] + (-c[6] - (3*c[8])/2 + 2*c[9] - 
       c[25] - c[26]/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w] + 
     (-c[8] - (3*c[25])/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w] + 
     (c[8] + (3*c[25])/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w] + 
     (c[8] + (3*c[25])/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w] + 
     (c[8] + (3*c[25])/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w] + 
     (c[8] + (3*c[25])/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w] + 
     (-2*c[8] - 3*c[25])*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w] + 
     (-2*c[8] - 3*c[25])*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w] + 
     (-2*c[2] + (10*c[3])/3 - 4*c[6] - 4*c[8] - 6*c[9] + 4*c[12] - 4*c[14] + 
       2*c[25] - 2*c[26])*F1[u, v, w]*\[Zeta][2] + 
     (2*c[2] - (10*c[3])/3 + 4*c[8] + 8*c[9] + (10*c[10])/3 - 4*c[12] + 
       4*c[14] - 4*c[25] + 4*c[26])*F1[v, w, u]*\[Zeta][2] + 
     (12*c[1] - 2*c[2] + (2*c[3])/3 + 5*c[6] + 4*c[7] + 7*c[8] + 10*c[9] + 
       6*c[10] - 2*c[12] + 2*c[14] - 2*c[19] - 6*c[22] + 2*c[23] + 5*c[24] - 
       8*c[25] + (7*c[26])/2)*HPL[{1}, 1 - u]*Phi6[u, v, w]*\[Zeta][2] + 
     (-12*c[1] + 2*c[2] - (2*c[3])/3 - 5*c[6] - 4*c[7] - 7*c[8] - 10*c[9] - 
       6*c[10] + 2*c[12] - 2*c[14] + 2*c[19] + 6*c[22] - 2*c[23] - 5*c[24] + 
       8*c[25] - (7*c[26])/2)*HPL[{1}, 1 - v]*Phi6[u, v, w]*\[Zeta][2] + 
     ((-19*c[1])/2 - 3*c[2] - (20*c[3])/3 + 4*c[6] + 9*c[7] + (89*c[8])/2 - 
       5*c[9] + 7*c[10] + 4*c[12] - 3*c[13] - 3*c[14] + 2*c[15] - 3*c[19] - 
       2*c[21] + 6*c[23] + 3*c[24] - (11*c[25])/2 - c[26]/2)*HPL[{1}, 1 - w]*
      Phi6[u, v, w]*\[Zeta][2]
 
 
CuvwCoproductEntries[w] = ((5*c[1])/2 - c[2] - 3*c[5] + (13*c[6])/2 + 5*c[7] + 
       24*c[8] - (27*c[9])/2 - 5*c[10] - c[12] + 2*c[14] + 2*c[15] + c[19] + 
       c[21] + c[22] - c[23] - c[24]/2 - 9*c[25] + (15*c[26])/4)*G[u, v, w]*
      HPL[{1}, 1 - u] + ((9*c[1])/4 + (13*c[2])/2 + (9*c[3])/2 + (9*c[5])/2 + 
       2*c[6] - 2*c[7] + (9*c[8])/2 + 2*c[9] - (7*c[10])/3 - (3*c[14])/2 - 
       (3*c[15])/2 - c[22]/2 - (3*c[23])/2 - 2*c[24] + (13*c[25])/4 + 
       c[26]/2)*H1[u, v, w]*HPL[{1}, 1 - u] + 
     ((5*c[1])/4 - (3*c[2])/2 - (5*c[3])/6 - (3*c[5])/2 - 2*c[6] + 4*c[7] - 
       (13*c[8])/2 - c[9] - c[10]/3 + c[14]/2 + c[15]/2 - c[22]/2 + c[23]/2 - 
       (15*c[25])/4 + (3*c[26])/2)*H1[v, w, u]*HPL[{1}, 1 - u] + 
     ((-7*c[1])/4 - (3*c[2])/2 - (13*c[3])/6 - (3*c[5])/2 + 3*c[6] - 2*c[7] + 
       (21*c[8])/2 - 3*c[9] + c[10] + c[14]/2 + c[15]/2 + (3*c[22])/2 + 
       c[23]/2 + c[24] + c[25]/4 - c[26])*H1[w, u, v]*HPL[{1}, 1 - u] + 
     ((-7*c[1])/2 - 5*c[2] - (11*c[3])/3 - 3*c[5] - 2*c[7] - 7*c[8] + 
       2*c[9] + (8*c[10])/3 + c[14] + c[15] + 3*c[22] + c[23] + 2*c[24] + 
       c[25]/2 - 2*c[26])*F1[u, v, w]*HPL[{1}, 1 - u]^2 + 
     ((4*c[3])/3 + (3*c[6])/2 + c[7] + 5*c[8] - 5*c[9] - (4*c[10])/3 - 
       c[22] - c[24]/2 + c[25] - c[26]/4)*F1[v, w, u]*HPL[{1}, 1 - u]^2 + 
     (-c[2]/2 + c[3]/2 - 3*c[6] - (3*c[7])/2 - (15*c[8])/4 - (15*c[9])/4 - 
       (3*c[10])/2 - c[12] + c[14] - c[19]/2 + c[21] - 2*c[23] - c[24]/2 + 
       c[25]/2 + c[26]/4)*F1[w, u, v]*HPL[{1}, 1 - u]^2 + 
     (3*c[1] - c[2] - (10*c[3])/3 - 10*c[5] + (3*c[6])/2 - 3*c[7] + 
       (45*c[8])/2 - 7*c[9] - (14*c[10])/3 - c[12] - c[13] + 3*c[14] + 
       4*c[15] - 2*c[21] + c[22] + 9*c[23] + (15*c[24])/2 - c[25]/2 - 
       (5*c[26])/4)*G[u, v, w]*HPL[{1}, 1 - v] + 
     ((-3*c[1])/2 - c[2] - (10*c[3])/3 + c[5] + 2*c[6] - c[7] + (17*c[8])/2 - 
       3*c[9] - 3*c[10] - c[13]/2 + c[14] + (3*c[15])/2 + c[22]/2 + c[24]/2 + 
       c[25]/2 - c[26])*H1[u, v, w]*HPL[{1}, 1 - v] + 
     ((5*c[1])/2 + c[2] + (8*c[3])/3 + c[5] + 2*c[6] - c[7] + (17*c[8])/2 - 
       3*c[9] - (5*c[10])/3 - c[13]/2 - c[14] - c[15]/2 + c[22]/2 + c[24]/2 + 
       c[25]/2 - c[26])*H1[v, w, u]*HPL[{1}, 1 - v] + 
     (-c[1]/2 + c[2] - (4*c[3])/3 - 7*c[5] - 7*c[6] + 3*c[7] - (49*c[8])/2 + 
       9*c[9] + (17*c[10])/3 + (3*c[13])/2 + c[14] - c[15]/2 - (3*c[22])/2 + 
       2*c[23] + (3*c[24])/2 - (3*c[25])/2 + (3*c[26])/2)*H1[w, u, v]*
      HPL[{1}, 1 - v] + ((-3*c[1])/2 - 3*c[2] + (4*c[3])/3 - 2*c[5] + c[6] + 
       3*c[7] + (11*c[8])/2 - (7*c[9])/2 - c[22] - c[24] + c[25] + c[26]/2)*
      F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + 
     (-4*c[2] + c[3] - 2*c[6] + c[7] - c[9]/2 - c[10]/3 - c[12] + c[14] - 
       c[21] - c[22] + 3*c[23] + c[24] - 3*c[25] + 3*c[26])*F1[v, w, u]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + (3*c[2] + c[3] - (3*c[6])/2 - 
       5*c[8] + (5*c[9])/2 - 2*c[10] + c[15] + c[19] - c[21] - c[22] + 
       2*c[23] + c[24]/2 - (7*c[25])/2 + (11*c[26])/4)*F1[w, u, v]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v] + (-4*c[2] + c[3] + c[7] + c[9]/2 - 
       c[12] + c[14] - c[21] + 3*c[23] + c[24] - 3*c[25] + 3*c[26])*
      F1[u, v, w]*HPL[{1}, 1 - v]^2 + (-2*c[1] - 2*c[2] - (4*c[3])/3 + 
       6*c[5] + 6*c[6] - 2*c[7] + 19*c[8] - 8*c[9] - 2*c[10] - c[13] + 
       c[15] + c[22] - 2*c[23] - 3*c[24] + 8*c[25] - 3*c[26])*F1[v, w, u]*
      HPL[{1}, 1 - v]^2 + ((3*c[1])/2 - c[2]/2 + (5*c[3])/6 - c[6]/2 - 
       3*c[7] + 4*c[8] - (11*c[9])/4 - (3*c[10])/2 + c[15] + c[24]/2 + 
       (7*c[25])/4 - c[26])*F1[w, u, v]*HPL[{1}, 1 - v]^2 + 
     (3*c[2] - (14*c[3])/3 + 2*c[5] - 2*c[7] - c[8] - (3*c[9])/2 + 2*c[10] + 
       c[21] + c[22] - 3*c[23] + (5*c[25])/2 - (5*c[26])/2)*G[u, v, w]*
      HPL[{1}, 1 - w] + ((5*c[3])/6 - 3*c[5] + 2*c[9] + (5*c[10])/3)*
      H1[u, v, w]*HPL[{1}, 1 - w] + ((-7*c[3])/6 + c[5] - 2*c[9] + c[10]/3)*
      H1[v, w, u]*HPL[{1}, 1 - w] + (c[3]/6 + c[5] + 2*c[9] - c[10])*
      H1[w, u, v]*HPL[{1}, 1 - w] + (-c[2] + c[3] + 2*c[5] - (5*c[6])/2 - 
       3*c[7] + (9*c[8])/4 - (15*c[9])/4 - (10*c[10])/3 - c[12] + c[14] + 
       c[21] - c[22] - 2*c[23] + (7*c[25])/2 - c[26]/2)*F1[u, v, w]*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + ((-2*c[3])/3 + c[7] - (13*c[8])/2 - 
       c[9]/2 + (2*c[10])/3 + c[15] + c[19] - c[22] + c[24] - (7*c[25])/2 + 
       c[26]/2)*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w] + 
     (-c[1]/2 - 3*c[2] - (7*c[3])/3 - 3*c[5] - (3*c[6])/2 - (25*c[8])/2 + 
       (25*c[9])/2 + c[10] + c[14] + c[15] + c[21] - 2*c[22] - 2*c[23] + 
       (5*c[24])/2 - (5*c[25])/2 - (11*c[26])/4)*F1[w, u, v]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w] + (4*c[2] - 2*c[3] + c[6]/2 + c[8]/2 - 2*c[9] + 
       (2*c[10])/3 - c[21] + 2*c[23] + c[24]/2 - c[25] + (7*c[26])/4)*
      F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     (-2*c[2] + c[3] - c[6]/2 - 4*c[7] + (7*c[8])/2 - (3*c[9])/2 - 
       (5*c[10])/3 + c[15] + c[24]/2 + 2*c[25] - (5*c[26])/4)*F1[v, w, u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + (-4*c[1] - 2*c[2] + 2*c[3] + 6*c[5] + 
       (11*c[6])/2 - 2*c[7] + (39*c[8])/2 - (15*c[9])/2 + c[10]/3 + 2*c[12] - 
       c[13] - 4*c[14] - c[15] - c[21] + 2*c[22] + c[23] - (7*c[24])/2 + 
       12*c[25] - (13*c[26])/4)*F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     (2*c[2] + c[3]/3 + c[6]/2 - c[7] + c[8]/2 - (5*c[9])/2 - (2*c[10])/3 + 
       c[21] - 3*c[23] - c[24]/2 + 3*c[25] - (9*c[26])/4)*F1[u, v, w]*
      HPL[{1}, 1 - w]^2 + ((-2*c[3])/3 - c[6] - c[7] - 2*c[8] + (2*c[10])/3 + 
       c[22])*F1[v, w, u]*HPL[{1}, 1 - w]^2 + 
     (-c[3] + 2*c[5] - 4*c[9] - (2*c[10])/3)*F1[w, u, v]*HPL[{1}, 1 - w]^2 + 
     (-4*c[2] + (2*c[3])/3 + 2*c[8] - c[12] + c[14] + 3*c[25])*F1[u, v, w]*
      HPL[{0, 1}, 1 - u] + (10*c[8] - 3*c[9] - 2*c[22] + 4*c[25] - c[26])*
      F1[v, w, u]*HPL[{0, 1}, 1 - u] + ((2*c[3])/3 + c[6] + c[8] - 4*c[9] - 
       (8*c[10])/3 - c[12] + c[14] + 2*c[21] - 4*c[23] - c[24] + c[25] + 
       c[26]/2)*F1[w, u, v]*HPL[{0, 1}, 1 - u] + 
     (-4*c[2] + (4*c[3])/3 - c[6] + 2*c[7] - 3*c[8] + 3*c[9] - (2*c[10])/3 - 
       c[12] + c[14] + 2*c[23] + c[24] - 7*c[25] + (5*c[26])/2)*F1[u, v, w]*
      HPL[{0, 1}, 1 - v] + ((4*c[3])/3 + 2*c[6] - 4*c[7] + 12*c[8] - c[9] - 
       (4*c[10])/3 + c[25] - c[26])*F1[v, w, u]*HPL[{0, 1}, 1 - v] + 
     (3*c[1] - c[6] + c[24] - 2*c[25] + c[26]/2)*F1[w, u, v]*
      HPL[{0, 1}, 1 - v] + (-3*c[1] - (4*c[3])/3 + c[6] - 2*c[7] + 3*c[8] - 
       3*c[9] + (2*c[10])/3 + c[12] - c[14] - 2*c[23] - c[24] + 7*c[25] - 
       (5*c[26])/2)*F1[u, v, w]*HPL[{0, 1}, 1 - w] + 
     (c[6] - 2*c[7] + 7*c[8] - 2*c[9] + c[24] - c[25] - c[26]/2)*F1[v, w, u]*
      HPL[{0, 1}, 1 - w] + ((23*c[1])/16 + (27*c[2])/8 + (15*c[3])/8 + 
       (15*c[5])/8 + 2*c[6] - c[7]/2 + (43*c[8])/8 - c[9]/2 - (17*c[10])/12 - 
       (5*c[14])/8 - (5*c[15])/8 + c[22]/8 - (5*c[23])/8 - c[24] + 
       (11*c[25])/16 + (5*c[26])/8)*HPL[{1}, 1 - u]*J1[u, v, w] + 
     ((-13*c[1])/8 - (3*c[2])/4 - (13*c[3])/6 + (3*c[5])/4 - c[6]/2 + 
       c[7]/4 - (17*c[8])/8 + (3*c[9])/4 - (7*c[10])/12 + c[13]/8 + 
       (3*c[14])/4 + (5*c[15])/8 - c[22]/8 - c[24]/8 - c[25]/8 + c[26]/4)*
      HPL[{1}, 1 - v]*J1[u, v, w] + (c[3]/8 - (5*c[5])/4 + (3*c[9])/2 + 
       (11*c[10])/12)*HPL[{1}, 1 - w]*J1[u, v, w] + 
     ((19*c[1])/16 + (3*c[2])/8 + (7*c[3])/8 + (3*c[5])/8 - 2*c[6] + 2*c[7] - 
       (55*c[8])/8 + (5*c[9])/4 - (7*c[10])/12 - c[14]/8 - c[15]/8 - 
       (7*c[22])/8 - c[23]/8 - c[24]/2 - (17*c[25])/16 + (7*c[26])/8)*
      HPL[{1}, 1 - u]*J1[v, w, u] + ((11*c[1])/8 + (3*c[2])/4 + (7*c[3])/3 + 
       (3*c[5])/4 - c[6]/2 + c[7]/4 - (17*c[8])/8 + (3*c[9])/4 - c[10]/4 + 
       c[13]/8 - (3*c[14])/4 - (7*c[15])/8 - c[22]/8 - c[24]/8 - c[25]/8 + 
       c[26]/4)*HPL[{1}, 1 - v]*J1[v, w, u] + 
     ((-3*c[3])/8 - c[5]/4 - (3*c[9])/2 + (7*c[10])/12)*HPL[{1}, 1 - w]*
      J1[v, w, u] + ((-17*c[1])/16 + (3*c[2])/8 - c[3]/8 + (3*c[5])/8 + 
       (7*c[6])/4 - (5*c[7])/2 + (47*c[8])/8 - c[9]/4 + (5*c[10])/12 - 
       c[14]/8 - c[15]/8 + (5*c[22])/8 - c[23]/8 + c[24]/4 + (31*c[25])/16 - 
       c[26])*HPL[{1}, 1 - u]*J1[w, u, v] + 
     (c[1]/8 + (3*c[2])/4 - (4*c[3])/3 - (21*c[5])/4 - (13*c[6])/4 + 
       (5*c[7])/4 - (79*c[8])/8 + (15*c[9])/4 + (31*c[10])/12 + (5*c[13])/8 + 
       (3*c[14])/4 + c[15]/8 - (5*c[22])/8 + (3*c[23])/2 + (13*c[24])/8 - 
       (5*c[25])/8 + c[26]/8)*HPL[{1}, 1 - v]*J1[w, u, v] + 
     ((5*c[3])/8 - c[5]/4 + (3*c[9])/2 - (5*c[10])/12)*HPL[{1}, 1 - w]*
      J1[w, u, v] + (2*c[1] + 6*c[2] + (7*c[3])/3 + 3*c[5] + (11*c[6])/2 + 
       (23*c[8])/4 + (13*c[9])/4 - (2*c[10])/3 + c[12] - 2*c[14] - c[15] - 
       c[21] + c[22] + c[23] - c[24] + c[25] + c[26]/2)*HPL[{1}, 1 - u]*
      K1[u, v, w] + (-2*c[1] - 4*c[2] - 3*c[3] + c[5] - c[9] - c[10] + 
       c[14] + c[15] + c[21] - 2*c[23] + c[25]/2 - 2*c[26])*HPL[{1}, 1 - v]*
      K1[u, v, w] + (-2*c[2] + c[3]/3 - 2*c[5] - c[6]/2 + c[7] - c[8]/2 + 
       (9*c[9])/2 + (5*c[10])/3 - c[21] + 3*c[23] + c[24]/2 - 3*c[25] + 
       (9*c[26])/4)*HPL[{1}, 1 - w]*K1[u, v, w] + 
     ((3*c[1])/2 - (2*c[3])/3 - 4*c[6] + 2*c[7] - (27*c[8])/2 + 6*c[9] + 
       (2*c[10])/3 - 3*c[25] + (3*c[26])/2)*HPL[{1}, 1 - u]*K1[v, w, u] + 
     (2*c[1] + 5*c[2] + 2*c[3] + c[5] - c[7] - c[9]/2 - c[10]/3 + c[12] - 
       2*c[14] - c[15] + c[21] - 3*c[23] - c[24] + 3*c[25] - 3*c[26])*
      HPL[{1}, 1 - v]*K1[v, w, u] + (-c[2] + c[3] - c[6]/2 - c[8]/2 + c[9] - 
       c[10]/3 - c[24]/2 + c[25]/2 + c[26]/4)*HPL[{1}, 1 - w]*K1[v, w, u] + 
     ((-3*c[1])/2 + c[2] - (5*c[3])/3 + 3*c[6] - 4*c[7] + (31*c[8])/2 - 
       (7*c[9])/2 + c[10] - c[15] - c[19] + 2*c[22] + 5*c[25] - 2*c[26])*
      HPL[{1}, 1 - u]*K1[w, u, v] + (3*c[2] - (8*c[3])/3 - 7*c[5] - 4*c[6] + 
       4*c[7] - 20*c[8] + 7*c[9] + (17*c[10])/3 + c[13] + c[14] - c[15] - 
       c[22] + 2*c[23] + 2*c[24] - 3*c[25] + c[26])*HPL[{1}, 1 - v]*
      K1[w, u, v] + ((4*c[3])/3 + c[6] + c[7] + 2*c[8] + 2*c[9] - 
       (4*c[10])/3 - c[22])*HPL[{1}, 1 - w]*K1[w, u, v] + 
     ((-7*c[1])/4 - (5*c[2])/2 - (11*c[3])/6 - (3*c[5])/2 - c[7] + c[8] - 
       c[9]/2 + (4*c[10])/3 + c[14]/2 + c[15]/2 + c[22]/2 + c[23]/2 + c[24] + 
       c[25]/4 - c[26])*HPL[{1}, 1 - u]^3*Phi6[u, v, w] + 
     ((4*c[3])/3 - c[5] + 2*c[6] + c[7] + (29*c[8])/4 - (11*c[9])/2 - 
       c[10]/3 - (3*c[22])/2 - c[24]/2 + c[25] - c[26]/4)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*Phi6[u, v, w] + (-4*c[2] + c[3] + (3*c[7])/2 - c[8]/4 + 
       c[9]/8 - c[10]/3 - c[12] + c[14] - c[21] + 3*c[23] + c[24] - 
       (15*c[25])/4 + (27*c[26])/8)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      Phi6[u, v, w] + (-c[1] - c[2] - (2*c[3])/3 + 3*c[5] + (5*c[6])/2 - 
       c[7] + 8*c[8] - 3*c[9] - (14*c[10])/9 - c[13]/2 + c[15]/2 + c[22]/2 - 
       c[23] - c[24] + c[25]/2 - c[26]/4)*HPL[{1}, 1 - v]^3*Phi6[u, v, w] + 
     (-c[2] + (5*c[3])/6 + c[5] - 3*c[6] - c[7] + (3*c[8])/4 - (13*c[9])/4 - 
       (7*c[10])/3 - c[12] + c[14] + c[21] - c[22] - 2*c[23] - c[24]/2 + 
       c[25]/2 + c[26]/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Phi6[u, v, w] + 
     (3*c[2] - (2*c[3])/3 + c[6]/2 - (13*c[8])/2 - (3*c[9])/4 + c[10]/3 + 
       c[15] + c[19] - c[21] - c[22] + 2*c[23] + (3*c[24])/2 - 4*c[25] + 
       (5*c[26])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Phi6[u, v, w] + (-2*c[2] + c[3] - c[6] - 2*c[7] + 4*c[8] - c[9] - 
       (11*c[10])/6 + c[15] + 2*c[25] - c[26]/2)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*Phi6[u, v, w] + (-c[1]/4 - c[2]/2 - (7*c[3])/6 - 
       (3*c[5])/2 - 2*c[6] + c[7] - 7*c[8] - 2*c[9] + c[10]/3 + c[14]/2 + 
       c[15]/2 + c[21] - c[22]/2 - (5*c[23])/2 + (5*c[25])/4 - 2*c[26])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Phi6[u, v, w] + 
     (c[1] + (5*c[3])/3 + 3*c[5] + (3*c[6])/2 - 2*c[7] + 6*c[8] - 3*c[9] - 
       (2*c[10])/3 - c[13]/2 - c[14] - c[15]/2 + (3*c[22])/2 - c[23] - 
       c[24] + c[25]/2 - c[26]/4)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      Phi6[u, v, w] + (-c[3]/2 + c[5] - 2*c[9] - c[10]/3)*HPL[{1}, 1 - w]^3*
      Phi6[u, v, w] + (7*c[8] - 3*c[9] - 2*c[22] - 3*c[25])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*Phi6[u, v, w] + (-c[8] - c[9] + (2*c[10])/3 - 
       (3*c[25])/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w] + 
     (3*c[6] + 10*c[8])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w] + 
     (-c[6] - c[8] + 2*c[9] - (4*c[10])/3 + c[24] - 4*c[25] + (5*c[26])/2)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w] + 
     (8*c[8] - 9*c[9] + (3*c[25])/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      Phi6[u, v, w] + (-2*c[7] - c[9] - (2*c[10])/3 - 2*c[23])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w] + 
     ((9*c[1])/2 + 9*c[2] + (61*c[3])/3 + 9*c[5] - 4*c[6] - 4*c[7] - 2*c[8] - 
       16*c[9] - 16*c[10] - 2*c[12] - c[14] - c[15] + 2*c[19] + 2*c[21] - 
       7*c[22] - 7*c[23] - 8*c[24] + (9*c[25])/2 + 3*c[26])*HPL[{1}, 1 - u]*
      Phi6[u, v, w]*\[Zeta][2] + (8*c[1] + (10*c[3])/3 - 10*c[5] - 19*c[6] + 
       4*c[7] - 40*c[8] + 26*c[9] - (2*c[10])/3 - 6*c[12] + 3*c[13] + 
       8*c[14] + c[15] - 4*c[21] - 3*c[22] + 14*c[23] + 8*c[24] - 9*c[25] + 
       (33*c[26])/2)*HPL[{1}, 1 - v]*Phi6[u, v, w]*\[Zeta][2] + 
     (6*c[2] - 3*c[3] - 6*c[5] - 4*c[7] - 2*c[8] - 7*c[9] + 6*c[10] + 
       2*c[21] + 2*c[22] - 6*c[23] + 5*c[25] - 5*c[26])*HPL[{1}, 1 - w]*
      Phi6[u, v, w]*\[Zeta][2]
 
 
CuvwCoproductEntries[yu] = B3[v, w, u]*c[1] + B2[u, v, w]*c[2] + 
     B11[v, w, u]*c[4] + B3[u, v, w]*c[4] + B11[w, u, v]*(c[1] + c[4]) + 
     B4[u, v, w]*c[7] + B4[v, w, u]*c[8] + B4[w, u, v]*c[8] - 
     (3*B5[w, u, v]*c[8])/2 + B5[v, w, u]*(2*c[8] - c[9]) + 
     B5[w, v, u]*(2*c[8] - c[9]) + B10[w, u, v]*(c[2] - (2*c[3])/3 - c[7] + 
       c[8] - 4*c[9] - (2*c[10])/3) + B10[v, w, u]*(2*c[2] - (2*c[3])/3 - 
       c[7] + c[8] - 4*c[9] - (2*c[10])/3) + 
     B5[v, u, w]*((-3*c[8])/2 + c[12]) + B7[u, v, w]*
      (c[6] + 3*c[8] + c[16]) + B9[u, v, w]*c[17] + 
     B6[v, w, u]*(c[8] - c[9] + c[22]) + B6[w, v, u]*(c[8] - c[9] + 2*c[15] + 
       c[22]) + B8[u, v, w]*(c[2] - c[3]/3 + c[6] - c[7] + 5*c[8] - 2*c[9] - 
       c[10]/3 + c[15] + c[16] + c[22]) + B10[u, v, w]*
      (2*c[1] - 2*c[8] + 2*c[24] - 2*c[26]) + 
     B11[u, v, w]*(-c[2] + 2*c[25] - c[26]) + 
     B9[v, w, u]*(-3*c[1] - 6*c[2] - 2*c[6] - 2*c[7] - (11*c[8])/2 - 
       (7*c[9])/2 - (8*c[10])/3 - c[24] + 2*c[25] - c[26]/2) + 
     B9[w, u, v]*((8*c[3])/3 - 2*c[6] - 2*c[7] - (11*c[8])/2 - (7*c[9])/2 - 
       (8*c[10])/3 - c[24] + 2*c[25] - c[26]/2) + 
     B8[w, u, v]*(c[2] + c[3]/3 + (3*c[6])/2 + (3*c[8])/2 - c[9] - c[10] + 
       c[24]/2 - c[25]/2 - c[26]/4) + B8[v, w, u]*((3*c[1])/2 - 2*c[2] - 
       c[3]/3 + (3*c[6])/2 + (3*c[8])/2 - c[9] - c[10] - c[13] + c[24]/2 - 
       c[25]/2 - c[26]/4) + B6[w, u, v]*(c[6]/2 - c[8] - c[9]/2 - c[24]/2 + 
       c[25] - c[26]/4) + B6[v, u, w]*((-3*c[1])/2 + c[2] + c[6]/2 - c[8] - 
       c[9]/2 + c[12] - c[24]/2 + c[25] - c[26]/4) + 
     B6[u, v, w]*((3*c[6])/2 + c[8]/2 + (3*c[9])/2 + c[24]/2 - c[25] + 
       c[26]/4) + B6[u, w, v]*((3*c[1])/2 + (3*c[6])/2 + c[8]/2 + 
       (3*c[9])/2 - c[13] + c[24]/2 - c[25] + c[26]/4) + 
     B7[v, w, u]*(-c[9]/2 - c[25]/2 + c[26]/2) + 
     B7[w, u, v]*(-c[9]/2 - c[25]/2 + c[26]/2) + 
     B5[u, v, w]*(-c[25] + c[26]) + B5[u, w, v]*(-c[25] + c[26]) + 
     (c[1]/4 - (7*c[2])/24 + (7*c[3])/72 + c[7]/8 - (11*c[8])/12 + 
       (3*c[9])/4 - (31*c[10])/72 - c[13]/4 + c[15]/4 - c[22]/8 + c[24]/4 + 
       (7*c[25])/24 - (13*c[26])/24)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3 + 
     ((3*c[1])/16 + c[2]/6 - c[3]/72 + c[6]/16 - c[7]/4 - c[8]/48 - 
       (7*c[9])/16 + c[10]/72 + c[22]/4 + c[24]/16 - (7*c[25])/24 + 
       (19*c[26])/96)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4 + 
     (c[2]*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/8 + 
     ((-5*c[1])/24 - (3*c[2])/8 - (13*c[3])/72 + (3*c[6])/8 + (7*c[7])/24 + 
       (37*c[8])/24 - c[9]/4 + (31*c[10])/72 - c[12]/4 + c[13]/4 - 
       (5*c[15])/12 + (5*c[22])/24 + c[24]/24 - c[25]/12 + (5*c[26])/48)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w] + 
     (-c[1]/3 + (5*c[2])/4 - (19*c[3])/18 + (31*c[6])/48 - (5*c[7])/8 + 
       (89*c[8])/48 - (83*c[9])/48 - (31*c[10])/36 + c[12]/4 - c[13]/4 + 
       c[14]/4 + (5*c[15])/12 + (3*c[22])/8 + (5*c[24])/16 + c[25]/12 - 
       (15*c[26])/32)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w] + 
     (c[1]/24 + c[2]/8)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w] + 
     ((13*c[1])/24 + (19*c[2])/12 - (13*c[3])/72 + c[6]/2 - (5*c[7])/24 + 
       (11*c[8])/6 - (3*c[9])/2 + (5*c[10])/72 + c[15]/12 + (11*c[22])/24 + 
       c[24]/6 - c[25]/8 - c[26]/24)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2 + (c[1]/2 - (4*c[2])/3 - c[3]/9 + (3*c[6])/2 + 
       (3*c[7])/4 - c[8]/12 - c[9]/2 - (17*c[10])/18 - c[13]/2 + c[15]/2 - 
       c[22]/2 + c[24]/2 + (5*c[25])/6 - (4*c[26])/3)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2 + 
     (c[1]/24 + (7*c[2])/8 + (5*c[3])/18 + c[5]/2 + c[6]/24 - c[7]/12 + 
       (4*c[8])/3 - (9*c[9])/8 - c[10]/9 + c[13]/4 - c[14]/6 - c[15]/4 + 
       c[22]/12 - c[23]/6 - (7*c[24])/24 - c[25]/4 + (23*c[26])/48)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2 + 
     ((3*c[1])/16 + (5*c[2])/12 - c[3]/72 + c[6]/16 - (13*c[8])/48 + 
       (5*c[9])/16 + (13*c[10])/72 + c[24]/16 - c[25]/24 - (5*c[26])/96)*
      HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2 + 
     (c[1]/4 - c[2]/8 + c[3]/24 + c[6]/8 - (3*c[7])/8 - (5*c[8])/8 - c[9]/2 - 
       (19*c[10])/24 + c[12]/4 - c[13]/4 + c[15]/4 + c[22]/8 + (3*c[24])/8 + 
       c[25]/4 - (11*c[26])/16)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^3 + 
     ((35*c[1])/48 - c[2]/3 + (13*c[3])/18 + (25*c[6])/48 - c[7]/8 + 
       (25*c[8])/16 - (23*c[9])/48 - c[10]/2 - c[13]/6 - c[14]/4 - 
       (5*c[15])/12 + c[22]/8 + (3*c[24])/16 + c[25]/8 - (31*c[26])/96)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3 + 
     ((-5*c[1])/12 + (35*c[2])/24 - c[3]/6 + c[5]/2 + c[6]/24 - c[7]/12 + 
       (4*c[8])/3 - (9*c[9])/8 - c[10]/9 + c[13]/12 + c[15]/12 + c[22]/12 - 
       c[23]/6 - (7*c[24])/24 - c[25]/4 + (23*c[26])/48)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3 + 
     ((13*c[1])/16 + c[2]/8 - (7*c[3])/36 - (11*c[5])/6 - (3*c[7])/4 + 
       c[8]/4 + (9*c[9])/8 + (5*c[10])/9 - c[12]/4 + c[14]/4 + c[15]/4 + 
       c[23]/2 + c[24] + (3*c[25])/8 - (3*c[26])/8)*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^3 + ((-5*c[2])/8 + c[3]/24 - c[6]/16 + c[7]/4 - 
       (5*c[8])/16 + (13*c[9])/16 + (3*c[10])/8 - c[12]/4 - c[24]/16 - 
       c[25]/4 + (11*c[26])/32)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4 + 
     (c[2]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4)/8 + 
     ((17*c[2])/24 - (7*c[3])/24 + (3*c[6])/16 - c[7]/2 + c[8]/48 - 
       (15*c[9])/16 - (13*c[10])/72 + c[12]/4 + c[22]/4 + (3*c[24])/16 - 
       c[25]/12 - (19*c[26])/96)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4 + 
     ((-3*c[1])/4 - 2*c[2] + c[3]/18 - c[6]/4 + c[7]/2 + c[8]/12 + c[9]/4 - 
       c[10]/18 - c[22]/2 - c[24]/4 + c[25]/6 + (5*c[26])/24)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u] + 
     ((7*c[1])/8 - (5*c[2])/4 - (7*c[3])/12 + c[7] - (7*c[8])/2 + 
       (3*c[9])/2 - (5*c[10])/3 - c[13] + c[14]/4 + (5*c[15])/4 - c[22] + 
       c[24] + c[25] - 2*c[26])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u] + (c[1]/3 - (5*c[2])/36 + (29*c[3])/108 - c[4]/6 - 
       (5*c[7])/12 - (37*c[8])/18 + c[9]/2 - (101*c[10])/108 - c[13]/2 + 
       c[15]/2 + (5*c[22])/12 + c[24]/2 - (7*c[25])/36 - (11*c[26])/36)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u] + 
     ((5*c[1])/12 + c[2]/3 - c[3]/36 + c[6]/8 - c[7]/2 - c[8]/24 - 
       (7*c[9])/8 + c[10]/36 + c[22]/2 + c[24]/8 - (7*c[25])/12 + 
       (19*c[26])/48)*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u] + 
     (-c[2]/6 + c[3]/6 - c[6]/4 + c[7]/2 + c[8]/12 + c[9]/4 - c[10]/18 - 
       c[22]/2 - c[24]/4 + c[25]/6 + (5*c[26])/24)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (-c[1] + (17*c[2])/2 - c[3]/3 + c[4]/2 - c[7]/2 + (29*c[8])/4 - c[9] + 
       (17*c[10])/3 + 3*c[13] - (7*c[15])/2 - c[19] - 2*c[24] - 5*c[25] + 
       6*c[26])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u] + ((-39*c[1])/4 - (23*c[2])/9 + (5*c[3])/36 + 
       (3*c[5])/2 - (47*c[6])/4 + (7*c[7])/4 - (2167*c[8])/72 + (5*c[9])/4 + 
       (253*c[10])/108 + c[12]/6 + c[14]/2 - c[15] - c[17]/4 - 
       (65*c[22])/12 - c[23]/2 - 4*c[24] + (47*c[25])/9 + (11*c[26])/72)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((-5*c[1])/3 - c[2]/6 - (5*c[3])/3 + c[5]/2 - c[6]/8 + (5*c[7])/12 + 
       (11*c[8])/24 - (103*c[9])/24 - (16*c[10])/9 + c[12]/2 + c[14]/3 + 
       c[15]/3 + (7*c[22])/12 - c[23]/6 - c[24]/8 - c[25]/6 - (19*c[26])/48)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((9*c[1])/8 - (21*c[2])/4 + (5*c[3])/4 + c[7] - (7*c[8])/2 + 
       (3*c[9])/2 - (5*c[10])/3 - c[13] - c[14]/4 + (3*c[15])/4 - c[22] + 
       c[24] + c[25] - 2*c[26])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + ((-17*c[1])/2 - (7*c[2])/4 + (179*c[3])/36 + 
       (3*c[5])/2 - (71*c[6])/6 + (25*c[7])/12 - (727*c[8])/24 + 
       (25*c[9])/12 + (31*c[10])/12 + (3*c[13])/2 - c[14] - 3*c[15] - 
       c[17]/4 - (67*c[22])/12 - c[23]/2 - (49*c[24])/12 + (21*c[25])/4 + 
       c[26]/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + ((15*c[1])/8 + (19*c[2])/12 + (73*c[3])/9 + 
       (27*c[5])/2 + (5*c[6])/4 - 2*c[7] - (31*c[8])/6 + 6*c[9] - 
       (11*c[10])/36 - c[12] + c[13]/2 - (7*c[14])/4 - (13*c[15])/4 + c[21] - 
       2*c[22] - (15*c[23])/2 - (23*c[24])/4 - (169*c[25])/12 + 
       (227*c[26])/24)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + (c[1]/2 - (7*c[2])/4 + (19*c[3])/36 - c[4]/6 - 
       c[6]/12 - c[7]/12 - (9*c[8])/4 + (4*c[9])/3 - (25*c[10])/36 - 
       c[12]/6 - c[13]/2 + c[15]/2 + c[22]/4 + (5*c[24])/12 - c[25]/6 - 
       (5*c[26])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     ((3*c[1])/8 + (5*c[2])/12 + (37*c[3])/18 + c[5]/2 - (3*c[6])/8 + 
       (17*c[7])/12 - c[8]/8 - (43*c[9])/24 - (19*c[10])/18 - c[14]/2 - 
       c[15]/2 + c[22]/12 - c[23]/6 - (3*c[24])/8 - c[25]/12 - (5*c[26])/48)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     ((-5*c[2])/4 + c[3]/12 - c[6]/8 + c[7]/2 - (5*c[8])/8 + (13*c[9])/8 + 
       (3*c[10])/4 - c[12]/2 - c[24]/8 - c[25]/2 + (11*c[26])/16)*
      HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u] + 
     (-c[2]/4 + c[3]/12 - c[6]/4 + c[7]/4 - c[8]/4 + c[9]/2 + c[10]/12 + 
       c[15]/4 + c[19]/4 - c[22]/4)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]^2 + 
     ((7*c[1])/4 + (43*c[2])/6 - (61*c[3])/18 - 6*c[6] - c[7] - (28*c[8])/3 + 
       (5*c[9])/4 + (7*c[10])/18 - c[13]/2 + c[14] + c[15] - c[17]/4 - 
       c[19]/2 - (5*c[22])/2 + c[24]/2 - c[25]/6 - (4*c[26])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     ((-11*c[2])/4 - (13*c[3])/12 + (3*c[5])/2 + (3*c[6])/8 + 2*c[7] - 
       (153*c[8])/16 - (51*c[9])/16 - (19*c[10])/12 - (3*c[13])/4 + c[15]/2 - 
       c[23]/2 + c[24]/4 - (21*c[25])/8 - (5*c[26])/4)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]^2 + (c[1]/2 - (47*c[2])/6 + (23*c[3])/6 - 6*c[6] - 
       c[7] - (28*c[8])/3 + (5*c[9])/4 + (7*c[10])/18 - c[14] - c[15] - 
       c[17]/4 - c[19]/2 - (5*c[22])/2 + c[24]/2 - c[25]/6 - (4*c[26])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     ((-25*c[1])/4 + (35*c[2])/6 + (175*c[3])/18 + 39*c[5] - 10*c[6] - 
       8*c[7] - (283*c[8])/6 + (111*c[9])/4 + (59*c[10])/18 - c[14]/2 - 
       (19*c[15])/2 + (5*c[18])/4 - c[20] + 4*c[21] - (3*c[22])/2 - 
       18*c[23] - (53*c[24])/4 + (59*c[25])/3 - (65*c[26])/12 - c[28]/24)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     ((-65*c[2])/12 + (5*c[3])/4 + (3*c[5])/2 - c[6]/8 + 4*c[7] - 
       (515*c[8])/48 + (29*c[9])/16 - (5*c[10])/36 - c[12] - c[13]/2 - 
       c[14]/2 - c[22] - c[23]/2 - c[24]/4 - (59*c[25])/24 - (2*c[26])/3)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2 + 
     ((-10*c[1])/3 - (23*c[2])/3 + (59*c[3])/9 + 15*c[5] - (19*c[6])/2 + 
       (17*c[7])/6 - (153*c[8])/4 + (59*c[9])/6 - (53*c[10])/18 - c[12]/2 - 
       c[13]/2 - c[14] - (7*c[15])/2 + c[17]/12 + (7*c[18])/12 + 
       (5*c[21])/2 - (19*c[23])/2 - (21*c[24])/4 + (44*c[25])/3 - 
       (19*c[26])/3 - c[27]/12 - c[28]/72)*HPL[{0, 1}, 1 - u]^3 + 
     (c[1]/3 - (7*c[2])/12 + (7*c[3])/36 - c[4]/3 + c[7]/4 - (11*c[8])/6 + 
       (3*c[9])/2 - (31*c[10])/36 - c[13]/2 + c[15]/2 - c[22]/4 + c[24]/2 + 
       (7*c[25])/12 - (13*c[26])/12)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v] + (c[1]/2 - (17*c[2])/18 - (13*c[3])/54 - c[6]/2 - 
       c[7]/3 - (589*c[8])/144 - (3*c[9])/8 - (217*c[10])/108 - c[13] + 
       c[14]/4 + (5*c[15])/4 - c[22]/6 + (7*c[24])/8 + (101*c[25])/72 - 
       (155*c[26])/72)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v] + ((-4*c[1])/3 + c[3]/3 - c[6]/2 - c[8]/2 + c[9]/2 - 
       c[10]/3 - c[24]/2 + (3*c[26])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - v] + ((-17*c[1])/24 - (7*c[2])/6 + c[3]/18 - c[6]/4 + 
       c[7]/2 + (7*c[8])/12 + c[9]/4 - (7*c[10])/18 - c[22]/2 - c[24]/4 + 
       (2*c[25])/3 - (7*c[26])/24)*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v] + 
     (-c[1]/2 + (5*c[2])/12 - c[3]/4 + c[7]/4 + (7*c[8])/6 + (3*c[9])/4 + 
       (59*c[10])/36 - c[12]/2 + c[13]/2 - c[15]/2 + c[22]/4 - c[24]/2 - 
       (2*c[25])/3 + (7*c[26])/6)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + ((-15*c[1])/4 + (5*c[2])/9 - (8*c[3])/3 + 
       (39*c[6])/8 - (31*c[7])/4 + (575*c[8])/36 - 3*c[9] + (31*c[10])/54 - 
       c[12]/6 + c[13] + c[14]/2 + c[15]/2 - c[17]/2 + (35*c[22])/12 - 
       (27*c[24])/8 - (38*c[25])/9 + (977*c[26])/144)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     ((-5*c[1])/2 + (47*c[2])/3 + (4*c[3])/9 + (3*c[5])/2 - 12*c[6] - 
       4*c[7] - (785*c[8])/24 + 8*c[9] + (145*c[10])/18 + (5*c[13])/2 + 
       c[14]/2 - 2*c[15] - (9*c[22])/2 - c[23]/2 - (3*c[24])/4 + 
       (47*c[25])/6 - (4*c[26])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     ((4*c[1])/3 - (19*c[2])/6 - (7*c[3])/18 + c[5]/2 + c[6]/6 + 
       (13*c[7])/6 + c[8]/2 - (19*c[9])/4 - c[10] - c[14]/6 - c[15]/6 - 
       (2*c[22])/3 - c[23]/6 + c[24]/6 + c[25]/12 - (5*c[26])/6)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     ((15*c[1])/8 - (17*c[2])/6 + (7*c[3])/12 + (5*c[6])/8 + (3*c[7])/2 - 
       (115*c[8])/48 + (5*c[9])/2 - (13*c[10])/9 - c[13] - c[14]/4 + 
       (3*c[15])/4 - c[22] + (5*c[24])/4 + (11*c[25])/24 - (91*c[26])/48)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((-11*c[1])/2 - (85*c[2])/6 + (107*c[3])/18 + (3*c[5])/2 - 11*c[6] + 
       4*c[7] - (199*c[8])/6 + (115*c[9])/8 + (59*c[10])/18 + c[13]/2 - 
       c[14] - c[15] - (11*c[22])/2 - c[23]/2 + (3*c[24])/2 + (49*c[25])/6 - 
       (115*c[26])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v] + ((9*c[1])/2 + (167*c[2])/36 + (889*c[3])/108 + 
       (11*c[5])/2 + (13*c[6])/6 - (7*c[7])/2 - (307*c[8])/144 + 
       (95*c[9])/24 + (193*c[10])/54 - c[12] + c[13]/2 - (7*c[14])/4 - 
       (13*c[15])/4 - c[21] - c[22] - (7*c[23])/2 - (113*c[24])/24 + 
       (53*c[25])/72 + (307*c[26])/72)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v] + (-c[1]/2 + (2*c[2])/3 + (2*c[3])/3 - c[6]/2 + 
       (17*c[8])/12 - c[9]/4 + (5*c[10])/9 + c[13]/2 - c[15]/2 - c[24] - 
       c[25]/6 + (17*c[26])/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v] + ((29*c[1])/24 + (107*c[2])/36 - (5*c[3])/6 - 
       (5*c[5])/2 + (11*c[6])/12 - (19*c[7])/6 + (5*c[8])/36 - (67*c[9])/12 - 
       (25*c[10])/27 + c[12]/6 + c[14]/2 + c[15]/2 + c[22]/2 + (5*c[23])/6 + 
       (35*c[24])/12 + (13*c[25])/36 - (143*c[26])/72)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     ((17*c[2])/12 - (7*c[3])/12 + (3*c[6])/8 - c[7] + c[8]/24 - 
       (15*c[9])/8 - (13*c[10])/36 + c[12]/2 + c[22]/2 + (3*c[24])/8 - 
       c[25]/6 - (19*c[26])/48)*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v] + 
     (-c[1]/4 + (7*c[2])/2 - 2*c[3] + (3*c[6])/2 + c[7]/2 - (3*c[8])/2 - 
       c[9] - c[10]/6 + c[14]/2 - c[19]/2 + c[22]/2)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (-9*c[1] + (199*c[2])/18 - (157*c[3])/54 - (31*c[6])/2 - (17*c[7])/6 - 
       (545*c[8])/18 - (9*c[9])/4 - (95*c[10])/54 - c[13] + 2*c[14] + 
       3*c[15] - c[17]/2 + c[19] - (55*c[22])/6 - c[24]/2 + (113*c[25])/18 - 
       (43*c[26])/9)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + (-2*c[1] - (157*c[2])/18 + (25*c[3])/54 + 3*c[5] - 
       (7*c[6])/4 + (7*c[7])/3 - (635*c[8])/36 - (89*c[9])/8 - 
       (89*c[10])/27 - c[13]/2 - c[14]/2 + c[15]/2 + (5*c[22])/3 - c[23] - 
       c[24]/4 + (5*c[25])/36 - (26*c[26])/9)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((-335*c[2])/18 + (151*c[3])/18 - 14*c[6] + (5*c[7])/2 - 
       (1537*c[8])/36 + 22*c[9] + (469*c[10])/54 - (11*c[12])/3 + c[13] - 
       2*c[14] - 5*c[15] - c[17]/2 - c[19] - (41*c[22])/6 - (3*c[24])/2 - 
       (163*c[25])/18 + (109*c[26])/18)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (-14*c[1] + (169*c[2])/9 + (76*c[3])/3 + 66*c[5] - (105*c[6])/4 - 
       (27*c[7])/2 - (3083*c[8])/36 + 53*c[9] + (298*c[10])/27 + 
       (2*c[12])/3 + 3*c[13] - c[14] - 13*c[15] + (3*c[18])/2 - 2*c[20] + 
       12*c[21] - (73*c[22])/6 - 40*c[23] - (99*c[24])/4 + (439*c[25])/18 + 
       (449*c[26])/72 - c[28]/12)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((3*c[1])/2 + (11*c[2])/6 + c[3]/6 + (3*c[6])/2 + 2*c[7] + 
       (121*c[8])/12 + (13*c[9])/8 - c[10]/18 - 4*c[22] + c[24]/2 + 
       (11*c[25])/3 - c[26]/24)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((-27*c[1])/4 - 22*c[2] + (83*c[3])/6 + 45*c[5] - 
       24*c[6] + 7*c[7] - (759*c[8])/8 + (169*c[9])/4 - (11*c[10])/2 - 
       (3*c[12])/2 - (13*c[13])/2 - (3*c[14])/2 - (7*c[15])/2 + c[17]/4 + 
       (5*c[18])/4 - c[20] + (13*c[21])/2 - (15*c[22])/2 - (51*c[23])/2 - 
       (35*c[24])/2 + (143*c[25])/4 - 7*c[26] + c[27]/4 - c[28]/24)*
      HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v] + 
     ((-7*c[1])/4 + (3*c[2])/4 - (13*c[3])/12 - c[6]/2 + c[7]/4 - 
       (25*c[8])/8 - (7*c[9])/2 - (7*c[10])/12 + c[14]/2 + (3*c[15])/4 + 
       c[19]/4 - c[22]/4 - c[24]/2 + (7*c[25])/4 - (7*c[26])/8)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^2 + 
     (-5*c[1] + (61*c[2])/6 - (17*c[3])/9 - (11*c[6])/2 - (23*c[7])/2 + 
       (97*c[8])/24 - (133*c[9])/8 - c[10]/9 - c[12]/2 + c[14] + 
       (3*c[15])/2 - c[17]/2 - c[19]/2 + c[22]/2 - (3*c[24])/4 + 
       (65*c[25])/6 - (137*c[26])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]^2 + (c[1] - (43*c[2])/12 + (37*c[3])/36 + 
       (3*c[5])/2 + (5*c[6])/8 + (3*c[7])/2 - (415*c[8])/48 + (49*c[9])/16 - 
       (67*c[10])/36 - (3*c[13])/4 - c[14]/2 + c[22]/2 - c[23]/2 + c[24]/2 - 
       c[25]/24 - (11*c[26])/24)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]^2 + 
     ((-16*c[2])/3 - (2*c[3])/3 - 6*c[6] + 6*c[7] - (707*c[8])/24 + 
       (123*c[9])/8 + (74*c[10])/9 - c[12] + c[13]/2 - c[14] - (3*c[15])/2 - 
       c[17]/4 - c[19]/2 - (3*c[22])/2 + (3*c[24])/4 - (25*c[25])/6 + 
       (43*c[26])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     (c[1]/4 + (59*c[2])/6 + (112*c[3])/9 + 22*c[5] - 3*c[6] - 3*c[7] - 
       (973*c[8])/24 + (333*c[9])/8 + (142*c[10])/9 - c[12] + c[13]/2 + 
       c[14] - 3*c[15] + c[18]/4 - c[20] + 5*c[21] - (15*c[22])/2 - 
       12*c[23] - (17*c[24])/2 + (101*c[25])/12 + (83*c[26])/24 - c[28]/24)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     ((-3*c[1])/2 + (59*c[2])/12 + (23*c[3])/12 - (3*c[5])/2 + (33*c[6])/8 - 
       8*c[7] + (887*c[8])/48 - (91*c[9])/16 - (145*c[10])/36 + c[12] + 
       c[13]/2 + c[14]/2 + c[23]/2 + c[24]/4 + (131*c[25])/24 - 
       (83*c[26])/24)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2 + 
     ((-7*c[1])/4 - (25*c[2])/2 + (83*c[3])/6 + 40*c[5] - (51*c[6])/2 + 
       (5*c[7])/2 - (415*c[8])/8 + (425*c[9])/8 + (14*c[10])/3 - 
       (7*c[12])/2 - c[13] + (3*c[14])/2 - c[15]/2 + c[17]/2 + (3*c[18])/4 - 
       2*c[20] + (9*c[21])/2 - 7*c[22] - (37*c[23])/2 - 14*c[24] + 
       (27*c[25])/4 + (87*c[26])/8 - c[27]/4 - c[28]/24)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2 + ((-11*c[1])/6 + (5*c[2])/2 + (49*c[3])/9 + 
       10*c[5] - (13*c[6])/3 - (7*c[7])/3 - (215*c[8])/12 + (517*c[9])/24 + 
       (79*c[10])/9 - c[12] + c[13]/3 + (2*c[14])/3 + c[15]/6 + c[18]/12 + 
       c[20]/3 + (11*c[21])/6 - (9*c[22])/2 - (31*c[23])/6 - (59*c[24])/12 + 
       (67*c[25])/6 - (23*c[26])/24 + c[27]/12 - c[28]/72)*
      HPL[{0, 1}, 1 - v]^3 + (c[1]/4 + (19*c[2])/12 - c[3]/4 + c[6]/4 - 
       (3*c[7])/4 + (7*c[8])/4 - (7*c[9])/4 + (11*c[10])/12 + c[13]/2 - 
       c[15]/2 + (3*c[22])/4 - c[24]/4 - (3*c[25])/4 + (7*c[26])/8)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((7*c[1])/8 - (37*c[2])/12 - (29*c[3])/36 + (5*c[6])/8 + (3*c[7])/2 - 
       (115*c[8])/48 + (5*c[9])/2 - (13*c[10])/9 - c[13] + c[14]/4 + 
       (5*c[15])/4 - c[22] + (5*c[24])/4 + (11*c[25])/24 - (91*c[26])/48)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     ((-11*c[1])/6 + (2*c[2])/3 + c[3]/9 - c[6]/2 + (17*c[8])/12 - c[9]/4 + 
       (5*c[10])/9 + c[13]/2 - c[15]/2 - c[24] - c[25]/6 + (17*c[26])/12)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w] + 
     ((5*c[1])/12 + (5*c[2])/6 - c[3]/36 + c[6]/8 - (13*c[8])/24 + 
       (5*c[9])/8 + (13*c[10])/36 + c[24]/8 - c[25]/12 - (5*c[26])/48)*
      HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w] + 
     (c[1]/2 - c[2]/4 + c[3]/12 - c[4]/3 + c[6]/4 - (3*c[7])/4 - (5*c[8])/4 - 
       c[9] - (19*c[10])/12 + c[12]/2 - c[13]/2 + c[15]/2 + c[22]/4 + 
       (3*c[24])/4 + c[25]/2 - (11*c[26])/8)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((-9*c[1])/8 + 12*c[2] + (8*c[3])/9 + (119*c[6])/24 - (97*c[7])/12 + 
       (97*c[8])/6 - (23*c[9])/6 + c[10]/3 + c[13]/2 - c[14]/2 - 
       (3*c[15])/2 - c[17]/2 + (37*c[22])/12 - (79*c[24])/24 - (17*c[25])/4 + 
       (107*c[26])/16)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + ((-5*c[1])/2 + (55*c[2])/12 + (13*c[3])/9 + 
       (3*c[5])/2 - 11*c[6] + 4*c[7] - (199*c[8])/6 + (115*c[9])/8 + 
       (59*c[10])/18 - 2*c[13] + c[14]/2 - 2*c[15] - (11*c[22])/2 - c[23]/2 + 
       (3*c[24])/2 + (49*c[25])/6 - (115*c[26])/24)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((83*c[1])/24 + (103*c[2])/36 - (13*c[3])/27 - (5*c[5])/2 + 
       (7*c[6])/12 - (11*c[7])/6 - (23*c[8])/36 - (9*c[9])/4 + c[10]/27 - 
       c[12]/2 + c[14]/3 + c[15]/3 - c[22]/6 + (5*c[23])/6 + (31*c[24])/12 + 
       (17*c[25])/36 - (115*c[26])/72)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + ((9*c[1])/8 - (17*c[2])/6 + (11*c[3])/9 - 
       (5*c[6])/12 - (2*c[7])/3 - (187*c[8])/48 - (29*c[9])/24 - 
       (9*c[10])/4 + c[12]/6 - c[13] - c[14]/4 + (3*c[15])/4 + 
       (23*c[24])/24 + (11*c[25])/8 - (9*c[26])/4)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     ((-33*c[1])/4 - (67*c[2])/12 + (17*c[3])/6 + (3*c[5])/2 - 12*c[6] - 
       4*c[7] - (785*c[8])/24 + 8*c[9] + (145*c[10])/18 + 2*c[13] - c[14] - 
       3*c[15] - (9*c[22])/2 - c[23]/2 - (3*c[24])/4 + (47*c[25])/6 - 
       (4*c[26])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w] + ((-45*c[1])/8 - (43*c[2])/18 + (43*c[3])/36 + 
       (11*c[5])/2 + (25*c[6])/12 - (19*c[7])/6 - (335*c[8])/144 + 
       (115*c[9])/24 + (103*c[10])/27 + (5*c[12])/6 + c[13]/2 - (7*c[14])/4 - 
       (5*c[15])/4 - c[21] - (7*c[22])/6 - (7*c[23])/2 - (115*c[24])/24 + 
       (55*c[25])/72 + (157*c[26])/36)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w] + ((-11*c[2])/6 + c[3] - c[6]/2 - c[8]/2 + c[9]/2 - 
       c[10]/3 - c[24]/2 + (3*c[26])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - w] + (-c[1] + (7*c[2])/6 - (11*c[3])/18 + c[5]/2 + 
       c[6]/6 + (13*c[7])/6 + c[8]/2 - (19*c[9])/4 - c[10] - (2*c[22])/3 - 
       c[23]/6 + c[24]/6 + c[25]/12 - (5*c[26])/6)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w] + 
     (-c[2]/6 + c[3]/2 - c[6]/4 + c[7]/2 + (7*c[8])/12 + c[9]/4 - 
       (7*c[10])/18 - c[22]/2 - c[24]/4 + (2*c[25])/3 - (7*c[26])/24)*
      HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w] + 
     (c[1]/4 - (5*c[2])/2 + (5*c[3])/3 + (3*c[6])/2 + c[7]/2 - (3*c[8])/2 - 
       c[9] - c[10]/6 - c[14]/2 - c[15] - c[19]/2 + c[22]/2)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-11*c[1])/2 + (91*c[2])/6 - (121*c[3])/18 - (73*c[6])/6 - 
       (29*c[7])/6 - (461*c[8])/12 + (11*c[9])/3 + (61*c[10])/18 + 2*c[13] + 
       2*c[14] + c[15] - c[17]/2 - c[19] - (19*c[22])/6 + c[24]/3 - 
       (29*c[25])/3 + (47*c[26])/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-3*c[1])/2 - (13*c[2])/6 + c[3]/18 + (3*c[6])/2 + 2*c[7] + 
       (121*c[8])/12 + (13*c[9])/8 - c[10]/18 - c[13]/2 - 4*c[22] + c[24]/2 + 
       (11*c[25])/3 - c[26]/24)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + (-c[1] - (19*c[2])/2 + (193*c[3])/18 - 
       (41*c[6])/3 - (61*c[7])/6 - 26*c[8] - (247*c[9])/12 - (127*c[10])/18 + 
       (11*c[12])/3 - c[13] - 2*c[14] - c[15] - c[17]/2 + c[19] - 
       (11*c[22])/2 + (4*c[24])/3 + (17*c[25])/3 - (83*c[26])/12)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-73*c[1])/4 + (21*c[2])/2 + (172*c[3])/9 + 66*c[5] - (337*c[6])/12 - 
       (37*c[7])/6 - (1079*c[8])/12 + (214*c[9])/3 + (49*c[10])/3 + 2*c[13] - 
       c[14] - 5*c[15] + (3*c[18])/2 - 2*c[20] + 12*c[21] - (95*c[22])/6 - 
       40*c[23] - (319*c[24])/12 + 25*c[25] + (67*c[26])/8 - c[28]/12)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (-c[1]/4 - (32*c[2])/3 + (17*c[3])/18 + 3*c[5] - (43*c[6])/12 + 
       (29*c[7])/3 - (263*c[8])/12 + (173*c[9])/24 + 2*c[10] - (11*c[12])/3 - 
       c[13] - c[14]/2 + c[15]/2 - 2*c[22] - c[23] - (25*c[24])/12 + 
       (3*c[25])/4 - (3*c[26])/4)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + (-24*c[1] - 2*c[2] + (115*c[3])/6 + 45*c[5] - 
       24*c[6] + 7*c[7] - (759*c[8])/8 + (169*c[9])/4 - (11*c[10])/2 + 
       c[12]/2 + (3*c[13])/2 - (5*c[14])/2 - (17*c[15])/2 + c[17]/4 + 
       (5*c[18])/4 - c[20] + (13*c[21])/2 - (15*c[22])/2 - (51*c[23])/2 - 
       (35*c[24])/2 + (143*c[25])/4 - 7*c[26] + c[27]/4 - c[28]/24)*
      HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w] + 
     ((3*c[1])/2 - c[2]/2 - c[3]/2 + 4*c[6] + (9*c[7])/2 - (11*c[8])/4 + 
       9*c[9] + (3*c[10])/2 + c[15]/2 + c[19]/2 - c[22]/2 + c[24] - 
       (7*c[25])/2 + (7*c[26])/4)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + (-12*c[1] + (22*c[2])/3 - (34*c[3])/9 - 13*c[6] + 
       c[7] - (317*c[8])/12 + (5*c[9])/4 + (46*c[10])/9 + c[12] + c[13] + 
       2*c[14] + c[19] - 3*c[22] - c[24]/2 + (85*c[25])/6 - (47*c[26])/12)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (c[1]/2 + (17*c[2])/18 + (85*c[3])/54 - (5*c[6])/12 + 3*c[7] - 
       (103*c[8])/18 + (13*c[9])/24 + c[10]/27 + c[13]/2 - c[14]/2 - 
       c[15]/2 - 4*c[22] + (7*c[24])/12 + (155*c[25])/36 - (23*c[26])/9)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-c[1] - (8*c[2])/3 + (22*c[3])/3 - 13*c[6] + c[7] - (317*c[8])/12 + 
       (5*c[9])/4 + (46*c[10])/9 + c[13] - 2*c[14] - 2*c[15] + c[19] - 
       3*c[22] - c[24]/2 + (85*c[25])/6 - (47*c[26])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-47*c[1])/4 + (121*c[2])/6 + (448*c[3])/27 + 44*c[5] - 30*c[6] - 
       (14*c[7])/3 - (673*c[8])/6 + 55*c[9] + (319*c[10])/9 + (4*c[12])/3 + 
       3*c[13] - 3*c[14] - c[15] + c[18]/2 - 2*c[20] + 10*c[21] - 
       (56*c[22])/3 - 24*c[23] - (39*c[24])/2 + (149*c[25])/6 + 
       (13*c[26])/6 - c[28]/12)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-c[1]/4 + (86*c[2])/9 - (29*c[3])/18 + (17*c[6])/12 - (13*c[7])/3 - 
       (13*c[8])/9 - (427*c[9])/24 - (142*c[10])/27 + (11*c[12])/3 + 
       c[14]/2 + c[15]/2 - c[22]/3 + (29*c[24])/12 + (133*c[25])/36 - 
       (169*c[26])/36)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + (-12*c[1] - 7*c[2] + 29*c[3] + 80*c[5] - 51*c[6] + 
       4*c[7] - 164*c[8] + (219*c[9])/2 + 17*c[10] - 3*c[12] - c[13] - 
       6*c[15] + c[17]/2 + (3*c[18])/2 - 4*c[20] + 9*c[21] - 24*c[22] - 
       33*c[23] - (45*c[24])/2 + 13*c[25] + 16*c[26] - c[27]/2 - c[28]/12)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-47*c[1])/4 + (5*c[2])/2 + 17*c[3] + 30*c[5] - (23*c[6])/2 + 5*c[7] - 
       (237*c[8])/4 + (495*c[9])/8 + 20*c[10] + c[12] - c[13] + c[15]/2 + 
       c[18]/4 + c[20] + (11*c[21])/2 - (33*c[22])/2 - (23*c[23])/2 - 
       (39*c[24])/4 + 34*c[25] - (79*c[26])/8 + c[27]/4 - c[28]/24)*
      HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     (c[1]/4 - (5*c[2])/4 + (23*c[3])/12 - c[6]/2 + c[7]/4 - (25*c[8])/8 - 
       (7*c[9])/2 - (7*c[10])/12 - c[14]/2 - c[15]/4 + c[19]/4 - c[22]/4 - 
       c[24]/2 + (7*c[25])/4 - (7*c[26])/8)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]^2 + (-c[1] - c[2]/6 - (28*c[3])/9 - (11*c[6])/2 + 
       4*c[7] - (679*c[8])/24 + (83*c[9])/8 + (61*c[10])/9 + c[13]/2 + 
       c[14] + c[15]/2 - c[17]/4 - c[19]/2 - c[22]/2 + (5*c[24])/4 - 
       (13*c[25])/3 + (29*c[26])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2 + ((11*c[2])/2 + (7*c[3])/12 - (3*c[5])/2 + 
       (29*c[6])/8 - 6*c[7] + (277*c[8])/16 - (11*c[9])/16 - (31*c[10])/12 + 
       c[13]/4 - c[15]/2 - c[22] + c[23]/2 - c[24]/4 + (45*c[25])/8 - 
       (23*c[26])/8)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2 + 
     ((-5*c[1])/2 + (4*c[2])/3 + 3*c[3] - 5*c[6] - (27*c[7])/2 + 
       (125*c[8])/24 - (173*c[9])/8 - (14*c[10])/9 + (3*c[12])/2 - c[14] - 
       c[15]/2 - c[17]/2 - c[19]/2 + (3*c[22])/2 - c[24]/4 + (32*c[25])/3 - 
       (151*c[26])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2 + 
     (-11*c[1] + (47*c[2])/3 + (23*c[3])/18 + 22*c[5] - (7*c[6])/2 - c[7] - 
       (1001*c[8])/24 + (373*c[9])/8 + (155*c[10])/9 + 5*c[12] - 4*c[14] + 
       c[18]/4 - c[20] + 5*c[21] - (17*c[22])/2 - 12*c[23] - 9*c[24] + 
       (103*c[25])/12 + (97*c[26])/24 - c[28]/24)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2 + 
     (-c[1]/4 - (7*c[2])/12 - c[3]/12 + (3*c[5])/2 + (5*c[6])/8 + 
       (3*c[7])/2 - (415*c[8])/48 + (49*c[9])/16 - (67*c[10])/36 - c[13]/2 + 
       c[15]/2 + c[22]/2 - c[23]/2 + c[24]/2 - c[25]/24 - (11*c[26])/24)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2 + 
     (-15*c[1] - 2*c[2] + (31*c[3])/2 + 40*c[5] - (51*c[6])/2 + (5*c[7])/2 - 
       (415*c[8])/8 + (425*c[9])/8 + (14*c[10])/3 + 2*c[12] - c[13]/2 - 
       (7*c[14])/2 + (9*c[15])/2 + c[17]/2 + (3*c[18])/4 - 2*c[20] + 
       (9*c[21])/2 - 7*c[22] - (37*c[23])/2 - 14*c[24] + (27*c[25])/4 + 
       (87*c[26])/8 - c[27]/4 - c[28]/24)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2 + ((-55*c[1])/4 + (59*c[2])/4 + 8*c[3] + 30*c[5] - 
       (23*c[6])/2 + 5*c[7] - (237*c[8])/4 + (495*c[9])/8 + 20*c[10] + 
       (11*c[12])/2 - (5*c[13])/2 - 4*c[14] - (11*c[15])/2 + c[18]/4 + 
       c[20] + (11*c[21])/2 - (33*c[22])/2 - (23*c[23])/2 - (39*c[24])/4 + 
       34*c[25] - (79*c[26])/8 + c[27]/4 - c[28]/24)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2 + ((-31*c[1])/3 + (34*c[2])/3 - (8*c[3])/9 + 
       10*c[5] - (13*c[6])/3 - (7*c[7])/3 - (215*c[8])/12 + (517*c[9])/24 + 
       (79*c[10])/9 + (13*c[12])/3 + c[13]/2 - (10*c[14])/3 + c[15]/6 + 
       c[18]/12 + c[20]/3 + (11*c[21])/6 - (9*c[22])/2 - (31*c[23])/6 - 
       (59*c[24])/12 + (67*c[25])/6 - (23*c[26])/24 + c[27]/12 - c[28]/72)*
      HPL[{0, 1}, 1 - w]^3 + (-4*c[1] - (11*c[2])/3 + (8*c[3])/9 - 4*c[6] + 
       2*c[7] - (89*c[8])/3 + 9*c[9] + (16*c[10])/9 + 2*c[13] + c[22] + 
       (2*c[25])/3 + c[26]/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u] + (2*c[1] - (11*c[2])/6 - (8*c[3])/9 + 8*c[6] - 
       c[7] + (68*c[8])/3 - 15*c[9] - (34*c[10])/9 - 2*c[13] + c[16] - 
       c[22] + (10*c[25])/3 - (5*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - u] + ((3*c[1])/2 - (17*c[2])/36 - (31*c[3])/108 + 
       c[6]/2 - (5*c[7])/12 + (13*c[8])/36 - (9*c[9])/4 + (7*c[10])/108 + 
       (5*c[22])/12 + c[24]/2 - (31*c[25])/36 + c[26]/9)*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - u] + (2*c[1] - (17*c[2])/3 - 4*c[6] + 2*c[7] - 
       (89*c[8])/3 + 9*c[9] + (16*c[10])/9 - 2*c[15] + c[22] + (2*c[25])/3 + 
       c[26]/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (-9*c[1] - c[2] + (50*c[3])/9 - 3*c[4] - 13*c[6] - c[7] + 10*c[8] - 
       5*c[9] - 12*c[10] + 2*c[14] + 4*c[15] + 2*c[21] - 2*c[22] - 2*c[23] - 
       3*c[24] + 3*c[25] + (9*c[26])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((3*c[1])/2 + (139*c[2])/36 + (35*c[3])/36 - c[6]/2 + (9*c[7])/4 + 
       (7*c[8])/36 - 3*c[9] - (191*c[10])/108 + (7*c[12])/6 + 2*c[14] + 
       c[21] - (17*c[22])/12 + 2*c[23] + (3*c[24])/2 - (71*c[25])/18 + 
       (151*c[26])/36)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + (-c[1] - (7*c[2])/6 + (8*c[3])/3 + 7*c[6] + 
       3*c[7] + (61*c[8])/3 - 5*c[9] - (8*c[10])/9 - 2*c[12] + 2*c[15] + 
       c[16] - 3*c[22] - c[24] + (11*c[25])/3 + c[26]/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((13*c[1])/4 - (101*c[2])/12 + (115*c[3])/36 - c[6]/12 + (7*c[7])/12 + 
       (7*c[8])/6 - (43*c[9])/6 - (107*c[10])/36 - 2*c[12] + 2*c[14] + 
       c[21] - (7*c[22])/12 + 2*c[23] + (23*c[24])/12 - (49*c[25])/12 + 
       (89*c[26])/24)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u] + ((37*c[2])/12 - (11*c[3])/12 + (11*c[6])/12 - 
       (25*c[7])/12 + (4*c[8])/3 - (77*c[9])/12 - (41*c[10])/36 + 
       (5*c[12])/6 + (5*c[22])/4 + (11*c[24])/12 - c[25] - (3*c[26])/8)*
      HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u] + 
     (-8*c[1] + (34*c[2])/3 - (10*c[3])/9 + c[6] - 6*c[7] + (100*c[8])/3 - 
       2*c[9] - (50*c[10])/9 + 4*c[12] - 6*c[13] - 2*c[14] - 2*c[22] - 
       3*c[24] + (29*c[25])/3 + (5*c[26])/6)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (-3*c[1] - (26*c[2])/3 + (28*c[3])/3 + c[6] - 6*c[7] + (100*c[8])/3 - 
       2*c[9] - (50*c[10])/9 - 4*c[12] + 2*c[13] + 2*c[14] + 3*c[15] - 
       2*c[22] - 3*c[24] + (29*c[25])/3 + (5*c[26])/6)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (-4*c[6] + 6*c[8] - 4*c[22] - 2*c[25] + 2*c[26])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (2*c[1] + (103*c[2])/18 + (29*c[3])/54 + 9*c[6] + (43*c[7])/6 + 
       (79*c[8])/18 + (23*c[9])/2 + (115*c[10])/54 - 2*c[13] - 2*c[14] - 
       (7*c[22])/6 - 4*c[23] - c[24] + (263*c[25])/18 - (37*c[26])/9)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (-c[1] - (89*c[2])/18 + (115*c[3])/18 - 5*c[6] - (7*c[7])/2 - 
       (131*c[8])/18 - 10*c[9] - (59*c[10])/54 - 4*c[11] + c[12]/3 + 
       2*c[13] - 2*c[14] - c[15] + 4*c[21] - (5*c[22])/6 - 4*c[23] - c[24] - 
       (137*c[25])/9 + (49*c[26])/18)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u] + (-4*c[6] + 6*c[8] - 4*c[22] - 2*c[25] + 
       2*c[26])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((13*c[1])/2 + (19*c[2])/2 - (35*c[3])/6 - (25*c[6])/6 - (41*c[7])/6 - 
       (16*c[8])/3 - (55*c[9])/3 - (7*c[10])/2 + 2*c[13] + 6*c[14] + 
       4*c[21] + (5*c[22])/6 - 4*c[23] - c[24]/6 - (31*c[25])/2 + 
       (7*c[26])/4)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + (-3*c[1] - (67*c[2])/6 + (7*c[3])/18 + 
       (59*c[6])/6 + (23*c[7])/6 + (19*c[8])/3 + (19*c[9])/6 - (5*c[10])/18 + 
       4*c[11] - c[12]/3 - 2*c[13] - 2*c[14] + c[15] + c[22]/2 - 4*c[23] - 
       c[24]/6 + (43*c[25])/3 - (61*c[26])/12)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (3*c[1] + 2*c[2] - 18*c[3] + 14*c[7] + 3*c[8] - 29*c[9] + 36*c[10] - 
       c[12] + 4*c[14] + 2*c[15] - 2*c[18] - 4*c[20] + 4*c[21] - 8*c[23] - 
       2*c[24] - 5*c[25] + 2*c[26])*HPL[{0, 0, 1}, 1 - u]^2 + 
     ((31*c[1])/8 - (4*c[2])/9 - (215*c[3])/108 + (49*c[6])/8 - (29*c[7])/6 + 
       (853*c[8])/72 - (63*c[9])/8 - (289*c[10])/108 - 2*c[13] + 3*c[15] + 
       2*c[16] - 2*c[19] + (35*c[22])/6 + (9*c[24])/8 - (89*c[25])/36 + 
       (41*c[26])/144)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + (2*c[1] + 10*c[2] + 2*c[3] - (5*c[6])/2 + 
       2*c[7] - 31*c[8] + (49*c[9])/2 + 2*c[10] + 2*c[13] - 3*c[15] + 
       2*c[19] - 7*c[22] + (5*c[24])/2 - 6*c[25] + c[26]/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v] + 
     (-3*c[1] - 4*c[2] + (2*c[3])/9 - c[6] + (4*c[7])/3 + (10*c[8])/3 + 
       (2*c[9])/3 - (4*c[10])/3 - c[22] - c[24] + (8*c[25])/3 - (7*c[26])/6)*
      HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v] + 
     ((43*c[2])/18 - (11*c[3])/18 + (5*c[6])/8 - (9*c[7])/4 + (67*c[8])/72 - 
       (21*c[9])/8 - (53*c[10])/54 + (5*c[12])/6 + (17*c[22])/12 + 
       (5*c[24])/8 - (5*c[25])/9 - (55*c[26])/144)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (-c[1] - (64*c[2])/3 + (52*c[3])/9 + 6*c[5] + 15*c[6] + c[7] + 
       (65*c[8])/3 + 10*c[9] - (124*c[10])/9 - 2*c[12] - 6*c[13] + 2*c[15] + 
       2*c[19] - 4*c[22] - 2*c[23] + c[24] + (13*c[25])/3 - (29*c[26])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (c[1] - (2*c[2])/3 + (11*c[3])/3 + 4*c[5] - 5*c[6] + (83*c[8])/6 - 
       19*c[9] + (25*c[10])/9 - c[12] + c[13] - 2*c[14] - 2*c[15] - 2*c[22] - 
       2*c[23] - 7*c[24] + (50*c[25])/3 - (19*c[26])/6)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((-4*c[2])/3 + (4*c[3])/3 - c[6] + 2*c[7] - c[8]/3 + c[9] - 
       (4*c[10])/9 - 2*c[22] - c[24] + (4*c[25])/3 + c[26]/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((51*c[1])/8 + (71*c[2])/9 + (205*c[3])/108 - 12*c[5] - (101*c[6])/24 + 
       2*c[7] - (1391*c[8])/72 - (97*c[9])/24 + (143*c[10])/108 + 2*c[12] + 
       c[13] - 2*c[15] - c[22] + 4*c[23] + (163*c[24])/24 - (131*c[25])/36 - 
       (223*c[26])/144)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - v] + ((-17*c[2])/18 - (4*c[3])/9 + (7*c[6])/24 + 
       (5*c[7])/12 + (31*c[8])/72 + (53*c[9])/24 + (29*c[10])/27 - 
       (5*c[12])/6 + (5*c[22])/12 + (7*c[24])/24 - (5*c[25])/9 + 
       (17*c[26])/144)*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v] + 
     (-20*c[8] + 6*c[9] + 4*c[22] - 8*c[25] + 2*c[26])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((-33*c[1])/4 - (146*c[2])/9 + (385*c[3])/54 + 6*c[5] + (5*c[6])/4 + 
       (25*c[7])/3 - (1607*c[8])/36 - (27*c[9])/4 - (241*c[10])/54 + 
       4*c[12] - 4*c[14] - 2*c[19] + 4*c[20] + 4*c[21] - c[22]/3 - 10*c[23] - 
       (19*c[24])/4 + (187*c[25])/18 - (379*c[26])/72 + c[27])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((3*c[1])/2 + (85*c[2])/9 + (49*c[3])/9 - 9*c[5] + (23*c[6])/4 - 
       (29*c[7])/2 + (1387*c[8])/36 + (13*c[9])/4 + (61*c[10])/27 + 
       (5*c[12])/3 + 3*c[13] - 12*c[15] - c[17] - 2*c[19] - (37*c[22])/6 + 
       3*c[23] + (3*c[24])/4 + (31*c[25])/18 + (263*c[26])/72)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((-8*c[3])/3 - 4*c[6] + 8*c[7] - 28*c[8] + 2*c[9] + (8*c[10])/3 - 
       8*c[25] + 2*c[26])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + (6*c[1] - (68*c[2])/3 + (104*c[3])/9 + 6*c[5] + 
       14*c[7] - (17*c[8])/3 + 17*c[9] - (56*c[10])/9 - 2*c[12] - 2*c[14] + 
       8*c[20] - 2*c[22] - 2*c[23] + 2*c[24] - (55*c[25])/3 + (19*c[26])/3 + 
       c[27])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (c[1]/2 + (28*c[2])/3 - 6*c[3] - 3*c[5] + (19*c[6])/2 - 6*c[7] + 
       (79*c[8])/3 + (3*c[9])/2 + (40*c[10])/9 + c[13] + c[17] + 2*c[19] + 
       c[22] + c[23] + c[24]/2 + (31*c[25])/6 - (17*c[26])/12)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (-2*c[6] + 4*c[7] - 14*c[8] + 4*c[9] - 2*c[24] + 2*c[25] + c[26])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((31*c[1])/4 - (131*c[2])/9 + (409*c[3])/54 + 6*c[5] - (53*c[6])/12 + 
       2*c[7] - (53*c[8])/36 - (133*c[9])/12 - (637*c[10])/54 - 2*c[12] - 
       4*c[13] - 2*c[14] + 2*c[19] - 8*c[20] - 2*c[22] - 2*c[23] + 
       (31*c[24])/12 - (233*c[25])/18 + (41*c[26])/72 - c[27])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((3*c[1])/2 + (25*c[2])/9 + (100*c[3])/9 - 9*c[5] - (35*c[6])/12 - 
       (79*c[7])/6 - (377*c[8])/36 - (157*c[9])/12 + (28*c[10])/27 - 
       (5*c[12])/3 + 3*c[13] - c[17] + 2*c[19] - c[22]/6 + 3*c[23] + 
       c[24]/12 + (229*c[25])/18 - (529*c[26])/72)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (2*c[1] + 3*c[2] + (4*c[3])/3 + 4*c[6] - 5*c[7] + 9*c[8] - 8*c[9] + 
       (16*c[10])/3 - 8*c[11] + 2*c[12] + 4*c[13] - 4*c[14] - 6*c[15] + 
       4*c[21] - 8*c[23] - 2*c[24] - 2*c[25])*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v] + (-c[1] - 6*c[2] - 10*c[3] + 6*c[5] + c[6] + 
       8*c[7] - 7*c[8] - (21*c[9])/2 + (14*c[10])/3 - 2*c[13] + c[16] + 
       c[17] - 2*c[23] - (5*c[25])/2 - c[26]/2)*HPL[{0, 0, 1}, 1 - v]^2 + 
     ((5*c[1])/8 + (11*c[2])/12 - c[3]/18 + (5*c[6])/24 - (7*c[7])/12 - 
       c[8]/24 + (37*c[9])/24 + (2*c[10])/9 + (7*c[22])/12 + (5*c[24])/24 - 
       (5*c[25])/12 + (5*c[26])/48)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + (-2*c[1] - (29*c[2])/6 + (4*c[3])/9 - c[6] + 
       2*c[7] - c[8]/3 + c[9] - (4*c[10])/9 - 2*c[22] - c[24] + (4*c[25])/3 + 
       c[26]/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((67*c[1])/24 + (25*c[2])/36 - (23*c[3])/54 + (17*c[6])/24 - 
       (5*c[7])/4 + (101*c[8])/72 - (47*c[9])/24 - (7*c[10])/54 + 
       (5*c[22])/4 + (17*c[24])/24 - (25*c[25])/36 - (53*c[26])/144)*
      HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - w] + 
     (c[1]/2 + (19*c[2])/4 - (37*c[3])/36 + (137*c[6])/24 - (19*c[7])/6 + 
       (87*c[8])/8 - (89*c[9])/24 - (53*c[10])/36 - (5*c[12])/6 + 2*c[16] - 
       2*c[19] + 5*c[22] + (17*c[24])/24 - (7*c[25])/3 + (37*c[26])/48)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (3*c[1] + 11*c[2] + (68*c[3])/9 + 6*c[5] + 16*c[6] - 3*c[7] + 24*c[8] - 
       (50*c[10])/3 - 6*c[13] - 2*c[14] + 4*c[15] + 2*c[19] - 2*c[22] - 
       2*c[23] + 2*c[24] + 4*c[25] - 6*c[26])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (-c[1] + (61*c[2])/36 - (361*c[3])/36 - 12*c[5] - (115*c[6])/24 + 
       (13*c[7])/3 - (1489*c[8])/72 + (43*c[9])/24 + (325*c[10])/108 + 
       (5*c[12])/6 - 2*c[13] + 4*c[14] - (13*c[22])/6 + 4*c[23] + 
       (149*c[24])/24 - (31*c[25])/9 - (125*c[26])/144)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (c[1]/2 - (11*c[2])/3 + (4*c[3])/3 - (3*c[6])/2 - 2*c[7] - (86*c[8])/3 + 
       (29*c[9])/2 - (8*c[10])/9 + c[12] + 2*c[19] - 5*c[22] + (7*c[24])/2 - 
       (19*c[25])/3 - (11*c[26])/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w] + (-15*c[1] - 10*c[2] - (37*c[3])/9 + 4*c[5] - 
       6*c[6] + 4*c[7] + (23*c[8])/2 - 9*c[9] + (17*c[10])/3 + 2*c[13] - 
       2*c[14] + 2*c[15] - 4*c[22] - 2*c[23] - 8*c[24] + 17*c[25] - 2*c[26])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-2*c[2])/3 + (16*c[3])/9 - c[6] + (4*c[7])/3 + (10*c[8])/3 + 
       (2*c[9])/3 - (4*c[10])/3 - c[22] - c[24] + (8*c[25])/3 - (7*c[26])/6)*
      HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w] + 
     (-20*c[8] + 6*c[9] + 4*c[22] - 8*c[25] + 2*c[26])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     ((-43*c[1])/4 + (35*c[2])/2 - (20*c[3])/3 - 9*c[5] + (59*c[6])/12 - 
       (67*c[7])/6 + (439*c[8])/12 + (139*c[9])/12 + (14*c[10])/3 + c[13] + 
       3*c[14] - c[17] - 2*c[19] - (47*c[22])/6 + 3*c[23] - c[24]/12 + 
       2*c[25] + (37*c[26])/8)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + (-4*c[1] - (23*c[2])/6 - (85*c[3])/18 + 
       6*c[5] + (5*c[6])/12 + (35*c[7])/3 - (559*c[8])/12 + (19*c[9])/12 - 
       (37*c[10])/18 - (11*c[12])/3 - 2*c[13] + 2*c[14] + 2*c[15] - 2*c[19] + 
       4*c[20] + 4*c[21] - 2*c[22] - 10*c[23] - (67*c[24])/12 + 
       (32*c[25])/3 - (103*c[26])/24 + c[27])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     (-6*c[1] - 8*c[2] - 2*c[6] + 4*c[7] - 14*c[8] + 4*c[9] - 2*c[24] + 
       2*c[25] + c[26])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + ((-31*c[1])/4 + (289*c[2])/18 - (200*c[3])/27 - 
       9*c[5] - (25*c[6])/12 - (33*c[7])/2 - (307*c[8])/36 - (257*c[9])/12 - 
       (37*c[10])/27 + c[13] + 3*c[14] - c[17] + 2*c[19] + (3*c[22])/2 + 
       3*c[23] + (11*c[24])/12 + (112*c[25])/9 - (599*c[26])/72)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (8*c[1] - (77*c[2])/18 - (29*c[3])/18 + 6*c[5] - (43*c[6])/12 - 
       (4*c[7])/3 + (17*c[8])/36 - (233*c[9])/12 - (767*c[10])/54 + 
       (5*c[12])/3 - 6*c[13] + 2*c[15] + 2*c[19] - 8*c[20] - c[22]/3 - 
       2*c[23] + (41*c[24])/12 - (119*c[25])/9 - (29*c[26])/72 - c[27])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (-8*c[2] - 4*c[6] + 8*c[7] - 28*c[8] + 2*c[9] + (8*c[10])/3 - 8*c[25] + 
       2*c[26])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (2*c[1] + (40*c[2])/3 - (43*c[3])/9 - 3*c[5] + (19*c[6])/2 - 6*c[7] + 
       (79*c[8])/3 + (3*c[9])/2 + (40*c[10])/9 - c[13] + c[14] + c[17] + 
       2*c[19] + c[22] + c[23] + c[24]/2 + (31*c[25])/6 - (17*c[26])/12)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (8*c[1] - (38*c[2])/3 + (4*c[3])/3 + 6*c[5] + 14*c[7] - (17*c[8])/3 + 
       17*c[9] - (56*c[10])/9 - 4*c[12] - 2*c[13] + 4*c[14] + 2*c[15] + 
       8*c[20] - 2*c[22] - 2*c[23] + 2*c[24] - (55*c[25])/3 + (19*c[26])/3 + 
       c[27])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (c[1] - (32*c[3])/3 + 4*c[6] - 5*c[7] + 9*c[8] - 8*c[9] + (16*c[10])/3 + 
       4*c[13] + 4*c[14] + 4*c[21] - 8*c[23] - 2*c[24] - 2*c[25])*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     (6*c[1] - 11*c[2] + (4*c[3])/3 - 5*c[4] + 7*c[7] - 4*c[8] - 
       (8*c[10])/3 - 2*c[12] - 4*c[13] - 16*c[20] + 4*c[23] + 6*c[24] - 
       4*c[25] - 2*c[26] - 2*c[27])*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + (5*c[1] - 5*c[2] + (16*c[3])/3 + 6*c[5] + 
       c[6] + 8*c[7] - 7*c[8] - (21*c[9])/2 + (14*c[10])/3 - 2*c[13] - 
       2*c[14] + c[16] + c[17] - 2*c[23] - (5*c[25])/2 - c[26]/2)*
      HPL[{0, 0, 1}, 1 - w]^2 + c[2]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (-5*c[1] + (23*c[2])/6 + (2*c[3])/9 - c[6] + 
       (16*c[8])/3 + 3*c[9] + (28*c[10])/9 + 2*c[13] - 2*c[15] - 3*c[24] - 
       c[25]/3 + (23*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u] + (-c[1]/3 - (65*c[2])/36 - (19*c[3])/108 + 
       (19*c[7])/12 + (19*c[8])/36 + (5*c[9])/4 + (19*c[10])/108 - 
       (19*c[22])/12 + (53*c[25])/36 - (53*c[26])/36)*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - u] + (-5*c[1] - 20*c[2] + (28*c[3])/9 - c[4] - 
       17*c[6] + 9*c[7] - 45*c[8] + 18*c[9] + (14*c[10])/3 - 2*c[12] + 
       2*c[15] + 4*c[19] - 10*c[22] - 3*c[24] + 5*c[25] + c[26]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((21*c[1])/2 - (89*c[2])/36 + (203*c[3])/36 + 9*c[6] - (13*c[7])/4 + 
       (569*c[8])/18 - (27*c[9])/4 - (239*c[10])/108 - (5*c[12])/6 - 
       3*c[13] - 2*c[14] - (5*c[22])/12 + (7*c[24])/2 + (43*c[25])/18 - 
       (131*c[26])/36)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + (-2*c[1] + (37*c[2])/6 + (2*c[3])/3 - 4*c[7] + 
       (23*c[8])/3 - 7*c[9] + (2*c[10])/9 + 2*c[12] + 2*c[13] - 2*c[15] + 
       2*c[22] - 2*c[24] - (2*c[25])/3 + (8*c[26])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((-3*c[1])/4 + (11*c[2])/4 - (349*c[3])/36 + (113*c[6])/12 - 
       (59*c[7])/12 + (391*c[8])/12 - (131*c[9])/12 - (41*c[10])/12 - 
       2*c[13] + 2*c[14] + 4*c[15] + (5*c[22])/12 + (47*c[24])/12 + 
       (9*c[25])/4 - (33*c[26])/8)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - u] + ((11*c[2])/4 - (29*c[3])/36 + (5*c[6])/12 - 
       c[7]/12 + (3*c[8])/2 - (35*c[9])/12 - (37*c[10])/36 + (5*c[12])/6 - 
       (3*c[22])/4 + (5*c[24])/12 + (4*c[25])/3 - (47*c[26])/24)*
      HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u] + 
     (-c[1]/2 - (25*c[2])/3 + (91*c[3])/9 + (11*c[6])/2 + 7*c[7] - 
       (43*c[8])/3 + 19*c[9] - (43*c[10])/9 - 2*c[14] - 2*c[15] + c[17] + 
       2*c[19] - 7*c[22] - c[24]/2 - (8*c[25])/3 + (5*c[26])/12)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (-c[1] + (11*c[2])/3 + 3*c[3] + (11*c[6])/2 + 7*c[7] - (43*c[8])/3 + 
       19*c[9] - (43*c[10])/9 + 2*c[14] + 4*c[15] + c[17] + 2*c[19] - 
       7*c[22] - c[24]/2 - (8*c[25])/3 + (5*c[26])/12)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     ((35*c[1])/2 + (37*c[2])/18 + (275*c[3])/54 + (13*c[6])/2 + 
       (49*c[7])/6 - (34*c[8])/9 + (27*c[9])/2 + (373*c[10])/54 + 4*c[13] - 
       2*c[14] - 2*c[15] + c[17] - 2*c[19] + (23*c[22])/6 + (11*c[24])/2 - 
       (283*c[25])/18 + (143*c[26])/36)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (-7*c[1] + (349*c[2])/18 - (203*c[3])/18 + 
       (9*c[6])/2 - (17*c[7])/2 + (392*c[8])/9 - 42*c[9] - (341*c[10])/54 + 
       (19*c[12])/3 + 2*c[14] + 4*c[15] + c[17] + 2*c[19] - (11*c[22])/6 + 
       (7*c[24])/2 + (121*c[25])/9 - (331*c[26])/36)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (8*c[1] - (3*c[2])/2 + (47*c[3])/6 + (4*c[6])/3 + (25*c[7])/6 + 
       (217*c[8])/6 - (31*c[9])/3 + (17*c[10])/6 - 4*c[13] - 2*c[14] - 
       2*c[15] + c[17] + 2*c[19] - (49*c[22])/6 + c[24]/3 + (29*c[25])/2 - 
       (11*c[26])/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + (-c[1] - (85*c[2])/6 - (155*c[3])/18 + 
       (10*c[6])/3 + (125*c[7])/6 - (67*c[8])/6 + (271*c[9])/6 + 
       (289*c[10])/18 - (19*c[12])/3 + 2*c[14] + c[17] - 2*c[19] - 
       (5*c[22])/2 + (7*c[24])/3 - (44*c[25])/3 + (23*c[26])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (22*c[1] + 16*c[3] + 4*c[6] - 28*c[8] - 4*c[9] - 32*c[10] + 8*c[14] + 
       2*c[21] + 16*c[23] + 14*c[24] - 34*c[25] + 12*c[26])*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (4*c[2] - 8*c[3] + 2*c[4] + 11*c[6] + 6*c[7] + (125*c[8])/2 - 
       (35*c[9])/2 + (16*c[10])/3 + 4*c[15] + c[17] - 2*c[22] + 2*c[24] + 
       10*c[25] - c[26])*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (6*c[1] - 6*c[2] - (4*c[3])/3 + 2*c[4] + 11*c[6] + 6*c[7] + 
       (125*c[8])/2 - (35*c[9])/2 + (16*c[10])/3 - 6*c[13] + c[17] - 
       2*c[22] + 2*c[24] + 10*c[25] - c[26])*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + (-7*c[2] + (7*c[3])/3 - c[4] - 7*c[6] + 
       7*c[7] - 11*c[8] + 14*c[9] + (7*c[10])/3 + 5*c[15] + c[16] + c[17]/2 + 
       8*c[19] - 7*c[22])*HPL[{0, 1, 1}, 1 - u]^2 + 
     ((-25*c[1])/8 + (29*c[2])/9 - (59*c[3])/108 - (3*c[6])/8 - (5*c[7])/6 + 
       (505*c[8])/72 - (31*c[9])/8 + (347*c[10])/108 + 2*c[13] - 2*c[15] + 
       (5*c[22])/6 - (19*c[24])/8 - (59*c[25])/36 + (605*c[26])/144)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (2*c[1] - 2*c[2] - (2*c[3])/3 + c[6] + c[8] - 4*c[9] + (2*c[10])/3 + 
       c[24] - c[25] - c[26]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - v] - (c[1]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - v])/
      3 + (3*c[1] - (89*c[2])/18 + (25*c[3])/18 - (51*c[6])/8 - c[7]/4 - 
       (821*c[8])/72 + (19*c[9])/8 - (257*c[10])/54 + (5*c[12])/6 - 2*c[13] + 
       3*c[15] + c[19] - (19*c[22])/12 + (21*c[24])/8 + (25*c[25])/9 - 
       (751*c[26])/144)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (5*c[1] - (100*c[2])/3 - (14*c[3])/9 - c[4] - 
       6*c[5] + 10*c[6] + 13*c[7] + (95*c[8])/3 - 5*c[9] - (70*c[10])/9 + 
       2*c[12] - 2*c[13] + 4*c[22] + 2*c[23] - (77*c[25])/3 + (32*c[26])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (-2*c[1] + 6*c[2] + 7*c[3] + 6*c[5] - c[6] - 6*c[8] + (25*c[9])/2 + 
       (13*c[10])/3 - 2*c[14] - 2*c[15] - 2*c[22] - 2*c[23] - 5*c[24] + 
       (5*c[25])/2 + 2*c[26])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (14*c[1] + (67*c[2])/6 - (11*c[3])/3 + 
       33*c[6] + (7*c[7])/2 + (917*c[8])/12 - (31*c[9])/4 - (97*c[10])/9 - 
       2*c[13] + 2*c[15] + 10*c[22] + (3*c[24])/2 - (59*c[25])/3 + 
       (77*c[26])/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v] + ((-69*c[1])/8 - (215*c[2])/18 - 
       (1763*c[3])/108 - 14*c[5] - (125*c[6])/24 + 10*c[7] + (601*c[8])/72 + 
       (11*c[9])/24 - (157*c[10])/108 + 4*c[14] + 6*c[15] + 2*c[21] + 
       8*c[23] + (211*c[24])/24 + (151*c[25])/36 - (919*c[26])/144)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     ((-83*c[2])/18 + c[3]/9 - (15*c[6])/8 + (29*c[7])/12 - (77*c[8])/72 + 
       (361*c[9])/24 + (80*c[10])/27 - (5*c[12])/6 - (19*c[22])/12 - 
       (15*c[24])/8 + (13*c[25])/9 + (197*c[26])/144)*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - v] + (c[1] - 12*c[2] + (22*c[3])/3 - 20*c[8] + 
       6*c[9] - 2*c[14] - 2*c[15] + 4*c[22] - 8*c[25] + 2*c[26])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     ((25*c[1])/4 + (94*c[2])/9 + (175*c[3])/54 - (9*c[6])/4 + c[7]/3 + 
       (181*c[8])/36 + (49*c[9])/4 + (185*c[10])/54 + 2*c[13] - (4*c[22])/3 - 
       (5*c[24])/4 + (103*c[25])/18 + (155*c[26])/72)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (4*c[1] - (287*c[2])/9 - (134*c[3])/9 - 42*c[5] + (67*c[6])/4 + 
       (63*c[7])/2 + (1519*c[8])/36 - (193*c[9])/4 - (212*c[10])/27 - 
       (13*c[12])/3 - 2*c[13] - 8*c[14] + 16*c[15] - 3*c[18] + 4*c[20] - 
       22*c[21] + (47*c[22])/6 + 50*c[23] + (43*c[24])/4 - (391*c[25])/9 + 
       (1571*c[26])/72 + c[28]/6)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + (c[1] - 12*c[2] + (14*c[3])/3 + 3*c[6] + 
       8*c[7] - (21*c[8])/2 + 20*c[9] + (8*c[10])/3 - 2*c[14] - 2*c[15] - 
       5*c[25] + (9*c[26])/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + ((11*c[1])/2 - (4*c[2])/3 + (25*c[3])/9 - 
       (9*c[6])/2 + 10*c[7] + (56*c[8])/3 + c[9] + (65*c[10])/9 + 6*c[13] - 
       3*c[22] - (3*c[24])/2 - (20*c[25])/3 + (59*c[26])/12)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (-13*c[1] - (73*c[2])/3 - (79*c[3])/3 - 22*c[5] - (11*c[6])/2 + 
       20*c[7] + (181*c[8])/6 - 57*c[9] - (127*c[10])/9 - 2*c[12] + 2*c[13] - 
       8*c[14] + 4*c[15] - c[18] + 4*c[20] - 26*c[21] + 15*c[22] + 38*c[23] + 
       (23*c[24])/2 - (68*c[25])/3 + (137*c[26])/12 + c[28]/6)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (c[1] - 12*c[2] + (22*c[3])/3 - 9*c[6] + 4*c[7] - (63*c[8])/2 - 
       14*c[9] - 2*c[14] - 2*c[15] - 2*c[24] - c[25] - (3*c[26])/2)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((13*c[1])/4 - (53*c[2])/9 - (125*c[3])/54 + (61*c[6])/12 - 8*c[7] + 
       (763*c[8])/36 - (253*c[9])/12 - (31*c[10])/54 - 6*c[13] + 9*c[22] - 
       (11*c[24])/12 - (173*c[25])/18 + (323*c[26])/72)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (8*c[1] - (293*c[2])/9 - (221*c[3])/9 - 26*c[5] + (349*c[6])/12 + 
       (5*c[7])/6 + (3841*c[8])/36 - (571*c[9])/12 - (713*c[10])/27 - 
       (35*c[12])/3 - 6*c[13] + 8*c[14] - 4*c[15] - c[18] + 4*c[20] - 
       22*c[21] + (131*c[22])/6 + 30*c[23] + (193*c[24])/12 - (256*c[25])/9 + 
       (671*c[26])/72 + c[28]/6)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (-26*c[2] + 4*c[6] - 6*c[8] - 10*c[9] - 
       (32*c[10])/3 + 12*c[14] + 10*c[21] + 4*c[23] + 4*c[24] - 36*c[25] + 
       16*c[26])*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (36*c[2] - 14*c[3] + 4*c[5] - 8*c[7] + 18*c[8] - 34*c[9] - 2*c[10] - 
       4*c[13] + 4*c[14] - 8*c[15] - 16*c[20] - 4*c[21] + 12*c[23] - 
       4*c[25] + 4*c[26] - 2*c[27])*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + (14*c[1] - 32*c[2] + (10*c[3])/3 + 6*c[5] + 
       6*c[6] + 16*c[7] + (7*c[8])/2 - (7*c[9])/2 + (8*c[10])/3 - 12*c[13] - 
       2*c[14] + c[17] + 4*c[22] - 2*c[23] - c[24] - 3*c[25] + (3*c[26])/2)*
      HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (-28*c[1] + 19*c[2] + (4*c[3])/3 + 21*c[6] - 13*c[7] + 77*c[8] - c[9] + 
       8*c[10] - 2*c[17] - 10*c[22] - 11*c[24] + 22*c[25] + (3*c[26])/2)*
      HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (-3*c[1] - 24*c[2] + (5*c[3])/3 - (17*c[6])/2 + 21*c[7] - (155*c[8])/4 + 
       (55*c[9])/4 + 5*c[10] + c[13] + 2*c[22] - 4*c[24] + (5*c[25])/2 + 
       (7*c[26])/2)*HPL[{0, 1, 1}, 1 - v]^2 + 
     ((5*c[1])/8 - (125*c[2])/12 + (19*c[3])/18 - (163*c[6])/24 + 
       (17*c[7])/12 - (99*c[8])/8 + (157*c[9])/24 - (32*c[10])/9 - 2*c[13] + 
       2*c[15] + c[19] - (29*c[22])/12 + (53*c[24])/24 + (35*c[25])/12 - 
       (227*c[26])/48)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + ((25*c[1])/2 - (4*c[2])/3 - (47*c[3])/9 + 
       33*c[6] + (7*c[7])/2 + (917*c[8])/12 - (31*c[9])/4 - (97*c[10])/9 - 
       2*c[13] + c[15] + 10*c[22] + (3*c[24])/2 - (59*c[25])/3 + 
       (77*c[26])/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - w] + ((-97*c[1])/24 - (71*c[2])/36 + (43*c[3])/54 - 
       (35*c[6])/24 + (3*c[7])/4 - (7*c[8])/72 + (87*c[9])/8 + 
       (95*c[10])/54 - (3*c[22])/4 - (35*c[24])/24 + (47*c[25])/36 + 
       (127*c[26])/144)*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w] + 
     (-2*c[1] + (23*c[2])/12 - c[3]/36 - (19*c[6])/24 + (5*c[7])/6 + 
       (145*c[8])/24 + (7*c[9])/24 + (53*c[10])/12 - (5*c[12])/6 + 2*c[13] - 
       2*c[15] - (67*c[24])/24 - (3*c[25])/2 + (75*c[26])/16)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (10*c[1] + (34*c[2])/3 - (50*c[3])/9 - c[4] - 6*c[5] + 9*c[6] + 
       17*c[7] + (88*c[8])/3 + 5*c[9] - (44*c[10])/9 + 2*c[14] + 2*c[15] + 
       2*c[22] + 2*c[23] - c[24] - (76*c[25])/3 + (71*c[26])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (12*c[1] - (35*c[2])/36 - (13*c[3])/4 - 14*c[5] - (91*c[6])/24 + 
       (13*c[7])/3 + (839*c[8])/72 - (329*c[9])/24 - (599*c[10])/108 - 
       (7*c[12])/6 + 4*c[14] + 2*c[15] + 2*c[21] + (17*c[22])/6 + 8*c[23] + 
       (245*c[24])/24 + (67*c[25])/18 - (1157*c[26])/144)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((-7*c[2])/3 - (4*c[3])/3 + 4*c[7] - (4*c[8])/3 + 6*c[9] + 
       (32*c[10])/9 - 2*c[12] - 2*c[22] - (2*c[25])/3 + (2*c[26])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w] + 
     (-3*c[1] - (5*c[2])/3 - 3*c[3] + 6*c[5] - 4*c[7] - (11*c[8])/3 + 
       (5*c[9])/2 + (13*c[10])/9 + 2*c[12] - 2*c[23] - 4*c[24] + 
       (13*c[25])/6 + (5*c[26])/6)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w] + (-c[1] + 12*c[2] - (22*c[3])/3 - 20*c[8] + 
       6*c[9] + 2*c[14] + 2*c[15] + 4*c[22] - 8*c[25] + 2*c[26])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((107*c[1])/4 - (43*c[2])/2 - 42*c[5] + (239*c[6])/12 + (113*c[7])/6 + 
       (595*c[8])/12 - (959*c[9])/12 - 17*c[10] + 4*c[12] - 4*c[13] - 
       12*c[14] + 2*c[15] - 3*c[18] + 4*c[20] - 22*c[21] + (85*c[22])/6 + 
       50*c[23] + (167*c[24])/12 - (89*c[25])/2 + (145*c[26])/8 + c[28]/6)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((43*c[2])/6 + (17*c[3])/18 + (11*c[6])/12 - (37*c[7])/3 + 
       (149*c[8])/12 - (233*c[9])/12 - (103*c[10])/18 + (19*c[12])/3 + 
       5*c[22] + (23*c[24])/12 + (14*c[25])/3 - (37*c[26])/24)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (-7*c[1] + 4*c[2] - (22*c[3])/3 - 9*c[6] + 4*c[7] - (63*c[8])/2 - 
       14*c[9] + 2*c[14] + 2*c[15] - 2*c[24] - c[25] - (3*c[26])/2)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((63*c[1])/4 - (137*c[2])/18 - (158*c[3])/27 - 26*c[5] + (311*c[6])/12 + 
       (27*c[7])/2 + (3575*c[8])/36 - (191*c[9])/12 - (466*c[10])/27 - 
       4*c[13] - 12*c[14] - 2*c[15] - c[18] + 4*c[20] - 22*c[21] + 
       (31*c[22])/2 + 30*c[23] + (155*c[24])/12 - (493*c[25])/18 + 
       (937*c[26])/72 + c[28]/6)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + ((-179*c[2])/18 - (35*c[3])/18 + (23*c[6])/12 + 
       (14*c[7])/3 + (497*c[8])/36 + (127*c[9])/12 + (463*c[10])/54 - 
       (19*c[12])/3 + (8*c[22])/3 - (49*c[24])/12 - (77*c[25])/9 + 
       (589*c[26])/72)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + (-c[1] + 4*c[2] - (22*c[3])/3 + 3*c[6] + 
       8*c[7] - (21*c[8])/2 + 20*c[9] + (8*c[10])/3 + 2*c[14] + 2*c[15] - 
       5*c[25] + (9*c[26])/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((65*c[1])/2 - (154*c[2])/3 + (16*c[3])/9 - 
       22*c[5] - (11*c[6])/2 + 20*c[7] + (181*c[8])/6 - 57*c[9] - 
       (127*c[10])/9 - 20*c[12] + 4*c[14] - 6*c[15] - c[18] + 4*c[20] - 
       26*c[21] + 15*c[22] + 38*c[23] + (23*c[24])/2 - (68*c[25])/3 + 
       (137*c[26])/12 + c[28]/6)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((-25*c[2])/3 - (5*c[3])/3 - (9*c[6])/2 + 
       10*c[7] + (56*c[8])/3 + c[9] + (65*c[10])/9 - 3*c[22] - (3*c[24])/2 - 
       (20*c[25])/3 + (59*c[26])/12)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + (14*c[1] + 26*c[2] + (20*c[3])/3 + 4*c[6] - 
       6*c[8] - 10*c[9] - (32*c[10])/3 - 8*c[11] + 12*c[14] - 6*c[15] + 
       10*c[21] + 4*c[23] + 4*c[24] - 36*c[25] + 16*c[26])*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (-c[1] - 12*c[3] + 6*c[5] + 6*c[6] + 16*c[7] + (7*c[8])/2 - (7*c[9])/2 + 
       (8*c[10])/3 - 2*c[13] + 4*c[15] + c[17] + 4*c[22] - 2*c[23] - c[24] - 
       3*c[25] + (3*c[26])/2)*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (-22*c[2] - 6*c[3] + 4*c[5] - 8*c[7] + 18*c[8] - 34*c[9] - 2*c[10] + 
       4*c[12] - 4*c[13] - 4*c[14] - 16*c[20] - 4*c[21] + 12*c[23] - 
       4*c[25] + 4*c[26] - 2*c[27])*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + (16*c[2] - (16*c[3])/3 + 21*c[6] - 13*c[7] + 
       77*c[8] - c[9] + 8*c[10] - 10*c[13] - 12*c[15] - 2*c[17] - 10*c[22] - 
       11*c[24] + 22*c[25] + (3*c[26])/2)*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w] + (12*c[1] + 21*c[2] + (56*c[3])/3 - 5*c[4] - 
       40*c[5] + 18*c[6] - 11*c[7] - 32*c[8] - (100*c[10])/3 + 16*c[12] + 
       6*c[13] + 16*c[14] + 28*c[15] + 2*c[18] - 8*c[20] + 48*c[21] + 
       20*c[22] - 44*c[23] + 12*c[24] - 34*c[25] - 14*c[26] - c[28]/3)*
      HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (-5*c[2] - (5*c[3])/3 - (17*c[6])/2 + 21*c[7] - (155*c[8])/4 + 
       (55*c[9])/4 + 5*c[10] + 2*c[22] - 4*c[24] + (5*c[25])/2 + (7*c[26])/2)*
      HPL[{0, 1, 1}, 1 - w]^2 + (-4*c[6] - 4*c[7] + 8*c[8])*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1}, 1 - u] + (-13*c[1] - (134*c[2])/3 + (2*c[3])/9 - 
       4*c[4] + 12*c[5] - c[6] + 10*c[7] - (47*c[8])/3 + 13*c[9] - 
       (98*c[10])/9 - 6*c[22] - 4*c[23] - 9*c[24] - (4*c[25])/3 + 
       (53*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u] + (-c[1] + (10*c[2])/3 - (4*c[3])/9 - 4*c[5] - 
       c[6] + 2*c[7] - (5*c[8])/3 - 2*c[9] + (58*c[10])/9 - 2*c[22] - c[24] + 
       (5*c[25])/3 - c[26]/6)*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - u] + 
     (14*c[1] + (58*c[2])/3 + (46*c[3])/3 - 4*c[4] + 12*c[5] - c[6] + 
       10*c[7] - (47*c[8])/3 + 13*c[9] - (98*c[10])/9 - 4*c[14] - 4*c[15] - 
       6*c[22] - 4*c[23] - 9*c[24] - (4*c[25])/3 + (53*c[26])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (c[1]/2 - 16*c[2] + (151*c[3])/9 + 24*c[5] - 4*c[6] + 4*c[7] - 3*c[8] + 
       25*c[9] - (116*c[10])/3 - 5*c[12] + 6*c[14] - c[15] + 4*c[18] + 
       4*c[21] - 2*c[22] - 4*c[23] + 2*c[24] - 4*c[25] + 7*c[26])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((8*c[2])/3 - 2*c[3] - 4*c[5] - 2*c[7] + (2*c[8])/3 - 12*c[9] + 
       (32*c[10])/9 + 2*c[12] + (4*c[25])/3 - (4*c[26])/3)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - u] + ((13*c[1])/2 - 2*c[2] + 31*c[3] + c[6] - 
       16*c[7] - 34*c[8] + 25*c[9] - 62*c[10] + 5*c[12] - 6*c[14] - 5*c[15] + 
       4*c[18] + 8*c[20] + 4*c[21] + 4*c[23] + 7*c[24] - c[25] - 
       (31*c[26])/2)*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((-3*c[1])/2 - 18*c[2] + (85*c[3])/3 + 16*c[5] - 3*c[6] - 8*c[7] - 
       26*c[8] + 17*c[9] - 70*c[10] + 5*c[12] - 6*c[14] - 5*c[15] + 4*c[18] - 
       8*c[20] + 4*c[21] - 12*c[23] + 3*c[24] - 3*c[25] + (21*c[26])/2)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((29*c[1])/2 - 26*c[2] + (101*c[3])/3 + 16*c[5] - 3*c[6] - 8*c[7] - 
       26*c[8] + 17*c[9] - 70*c[10] - 11*c[12] + 10*c[14] - 5*c[15] + 
       4*c[18] - 8*c[20] + 4*c[21] - 12*c[23] + 3*c[24] - 3*c[25] + 
       (21*c[26])/2)*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-10*c[1] - 2*c[2] - 8*c[4] + 12*c[5] + 20*c[6] - 16*c[7] + 36*c[8] - 
       7*c[9] - (16*c[10])/3 + 4*c[22] - 4*c[23] - 4*c[24] + 13*c[25] - 
       c[26])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-3*c[1] - (14*c[2])/3 - (10*c[3])/9 - 4*c[5] - c[6] + 2*c[7] + 
       (19*c[8])/3 + 9*c[9] - (2*c[10])/9 - 2*c[22] - c[24] + (8*c[25])/3 - 
       (7*c[26])/6)*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - v] + 
     (2*c[1] - 2*c[2] + (4*c[3])/3 - 2*c[7] - 5*c[8] - 3*c[9] - 
       (20*c[10])/3 + 2*c[12] - 2*c[13] + 2*c[15] + 2*c[24] + 2*c[25] - 
       4*c[26])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((5*c[1])/2 + (16*c[2])/3 + 22*c[3] - 21*c[5] - (47*c[6])/2 - 4*c[7] - 
       (173*c[8])/3 + (33*c[9])/2 + (46*c[10])/9 + 5*c[13] - 2*c[14] - 
       13*c[15] - 2*c[17] - 11*c[22] + 7*c[23] + (3*c[24])/2 + (7*c[25])/6 + 
       (25*c[26])/12)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v] + (-6*c[2] + 2*c[3] - c[6] + 4*c[7] - c[8] + 
       9*c[9] + 2*c[10] - 2*c[12] - 2*c[22] - c[24] + (3*c[26])/2)*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((5*c[1])/2 - 6*c[2] + (50*c[3])/3 + 4*c[4] - 9*c[5] + (13*c[6])/2 - 
       16*c[7] + 26*c[8] + (27*c[9])/2 + (2*c[10])/3 + 3*c[13] - 2*c[14] - 
       19*c[15] + 4*c[16] - 2*c[17] - 7*c[22] + 3*c[23] - c[24]/2 - 
       (17*c[25])/2 + (27*c[26])/4)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v] + ((17*c[1])/2 + 10*c[2] + (58*c[3])/3 - 
       9*c[5] + (13*c[6])/2 - 20*c[7] + 13*c[8] + (71*c[9])/2 - 
       (22*c[10])/3 + 3*c[13] - 2*c[14] - 3*c[15] - 4*c[16] - 2*c[17] + 
       c[22] + 3*c[23] + (3*c[24])/2 + (11*c[25])/2 + (11*c[26])/4)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((5*c[1])/2 + 2*c[2] + 22*c[3] - 9*c[5] - (29*c[6])/2 - 24*c[7] - 
       (89*c[8])/2 - (89*c[9])/2 - (22*c[10])/3 + 3*c[13] - 2*c[14] - 
       3*c[15] - 4*c[16] - 2*c[17] + c[22] + 3*c[23] - (9*c[24])/2 + 
       (61*c[25])/2 - (67*c[26])/4)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v] + (3*c[1] - (40*c[2])/3 + (10*c[3])/9 - c[6] + 
       2*c[7] - (22*c[8])/3 + 7*c[9] - (34*c[10])/9 - 2*c[13] + 2*c[15] - 
       2*c[22] + c[24] + (7*c[25])/3 - (17*c[26])/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (6*c[1] - (8*c[2])/3 + (2*c[3])/9 + (4*c[8])/3 - c[9] - (8*c[10])/9 - 
       c[25]/3 + c[26]/3)*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - w] + 
     (2*c[1] + (44*c[2])/3 + 10*c[3] - 8*c[4] + 12*c[5] + 19*c[6] - 12*c[7] + 
       (101*c[8])/3 + 3*c[9] - (22*c[10])/9 - 2*c[12] - 4*c[14] - 4*c[15] + 
       2*c[22] - 4*c[23] - 5*c[24] + (40*c[25])/3 + c[26]/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (-32*c[1] + (2*c[2])/3 - (217*c[3])/9 - 21*c[5] - (45*c[6])/2 - 8*c[7] - 
       (166*c[8])/3 + (13*c[9])/2 + (20*c[10])/9 + 2*c[12] + c[13] + 
       9*c[14] + 4*c[15] - 2*c[17] - 9*c[22] + 7*c[23] + (5*c[24])/2 + 
       (5*c[25])/6 + (11*c[26])/12)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + ((-2*c[2])/3 + 4*c[3] - 4*c[5] - c[6] + 
       2*c[7] + (19*c[8])/3 + 9*c[9] - (2*c[10])/9 - 2*c[22] - c[24] + 
       (8*c[25])/3 - (7*c[26])/6)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - w] + (-19*c[1] + 28*c[2] - (43*c[3])/3 + 4*c[4] - 
       9*c[5] + (13*c[6])/2 - 16*c[7] + 26*c[8] + (27*c[9])/2 + (2*c[10])/3 - 
       c[13] + 5*c[14] + 2*c[15] + 4*c[16] - 2*c[17] - 7*c[22] + 3*c[23] - 
       c[24]/2 - (17*c[25])/2 + (27*c[26])/4)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w] + (-27*c[1] + 12*c[2] - (35*c[3])/3 - 9*c[5] - 
       (29*c[6])/2 - 24*c[7] - (89*c[8])/2 - (89*c[9])/2 - (22*c[10])/3 - 
       c[13] + 5*c[14] + 2*c[15] - 4*c[16] - 2*c[17] + c[22] + 3*c[23] - 
       (9*c[24])/2 + (61*c[25])/2 - (67*c[26])/4)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w] + (-11*c[1] + 20*c[2] - 17*c[3] - 9*c[5] + 
       (13*c[6])/2 - 20*c[7] + 13*c[8] + (71*c[9])/2 - (22*c[10])/3 - c[13] + 
       5*c[14] + 2*c[15] - 4*c[16] - 2*c[17] + c[22] + 3*c[23] + 
       (3*c[24])/2 + (11*c[25])/2 + (11*c[26])/4)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + (c[2] - c[3]/3 + c[6] - c[7] + c[8] - 
       2*c[9] - c[10]/3 - c[15] - c[19] + c[22])*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + (-4*c[1] - 2*c[2] - (8*c[3])/3 + 31*c[6] + 
       2*c[7] + 95*c[8] - 24*c[9] - (16*c[10])/3 - 2*c[13] + 4*c[15] + 
       c[17] + 2*c[19] + 8*c[22] - 3*c[24] - 6*c[25] + (11*c[26])/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-c[1] + 5*c[2] + (7*c[3])/3 - c[6]/2 + 2*c[7] - (27*c[8])/4 + 
       (143*c[9])/4 + c[10] - c[13] - 2*c[24] + (3*c[25])/2 + (3*c[26])/2)*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-4*c[1] + 18*c[2] + 31*c[6] + 2*c[7] + 95*c[8] - 24*c[9] - 
       (16*c[10])/3 + 4*c[15] + c[17] + 2*c[19] + 8*c[22] - 3*c[24] - 
       6*c[25] + (11*c[26])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u] + (13*c[1] - (76*c[2])/3 - (182*c[3])/9 - 
       60*c[5] - 27*c[6] + 16*c[7] - (175*c[8])/3 - 7*c[9] + (272*c[10])/9 - 
       10*c[12] + 2*c[14] + 10*c[15] - 5*c[18] + 4*c[20] - 14*c[21] - 
       12*c[22] + 36*c[23] + 26*c[24] + (19*c[25])/3 - (65*c[26])/6 + 
       c[28]/6)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((59*c[2])/3 + c[3]/3 + (9*c[6])/2 - 18*c[7] + (59*c[8])/12 - 
       (57*c[9])/4 - (121*c[10])/9 + 10*c[12] + 10*c[22] + 3*c[24] - 
       c[25]/6 - (13*c[26])/3)*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-8*c[1] + 32*c[2] - (128*c[3])/3 - 60*c[5] + 42*c[6] - 10*c[7] + 
       139*c[8] - 78*c[9] + (130*c[10])/3 + 2*c[12] + 2*c[13] - 4*c[14] + 
       14*c[15] - c[17] - 7*c[18] - 12*c[21] - 4*c[22] + 22*c[23] + 7*c[24] - 
       30*c[25] + 18*c[26] + c[27] + c[28]/6)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u] + (7*c[1] + 22*c[2] - (98*c[3])/3 - 60*c[5] + 
       33*c[6] - 2*c[7] + 121*c[8] - (215*c[9])/2 + (58*c[10])/3 - 2*c[12] + 
       2*c[14] - 4*c[15] - 5*c[18] + 4*c[20] - 16*c[21] + 8*c[22] + 
       42*c[23] + 18*c[24] - 3*c[25] - 18*c[26] - c[27] + c[28]/6)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (16*c[1] + 6*c[2] - (86*c[3])/3 - 60*c[5] + 33*c[6] - 2*c[7] + 
       121*c[8] - (215*c[9])/2 + (58*c[10])/3 - 2*c[12] + 2*c[13] + 6*c[14] - 
       5*c[18] + 4*c[20] - 16*c[21] + 8*c[22] + 42*c[23] + 18*c[24] - 
       3*c[25] - 18*c[26] - c[27] + c[28]/6)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u] + (-c[2] + c[3]/3 - 5*c[6] - 3*c[7] + 7*c[8] + 
       2*c[9] + c[10]/3 + c[15] + c[19] - c[22])*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 1}, 1 - v] + (14*c[1] - (116*c[2])/3 - (52*c[3])/9 + 
       22*c[6] + 26*c[7] + (401*c[8])/6 - (57*c[9])/2 - (80*c[10])/9 + 
       2*c[12] - 4*c[13] + 2*c[15] + 2*c[17] - 2*c[19] + 14*c[22] - 3*c[24] - 
       (61*c[25])/3 + (83*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v] + (-c[1] + c[2] + c[3]/3 - (5*c[6])/2 + 
       2*c[7] - (27*c[8])/4 - (9*c[9])/4 + 5*c[10] + c[13] - 2*c[22] - 
       2*c[24] + (7*c[25])/2 - c[26]/2)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - v] + (12*c[1] + (106*c[2])/3 - (4*c[3])/3 + 
       30*c[6] - 2*c[7] + (575*c[8])/6 - (93*c[9])/2 - (200*c[10])/9 + 
       10*c[12] + 4*c[15] + c[17] + 2*c[19] + 18*c[22] - c[24] - 
       (28*c[25])/3 + (11*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + (-15*c[1] - (56*c[2])/3 - (226*c[3])/9 - 
       17*c[6] + 30*c[7] - (259*c[8])/6 + (113*c[9])/2 + (214*c[10])/9 - 
       8*c[12] - 2*c[13] + 2*c[14] + 10*c[15] - c[18] + 4*c[20] - 24*c[21] - 
       6*c[22] + 38*c[23] + 11*c[24] + (5*c[25])/3 + (19*c[26])/3 + c[28]/6)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((-71*c[2])/3 - (5*c[3])/3 - c[6]/2 + 14*c[7] - (89*c[8])/12 + 
       (203*c[9])/4 + (157*c[10])/9 - 10*c[12] - 4*c[22] - 2*c[24] - 
       (29*c[25])/6 + (47*c[26])/6)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - v] + (3*c[1] + 4*c[2] - (76*c[3])/3 - 48*c[5] + 
       16*c[6] + 4*c[7] + 94*c[8] - 79*c[9] - (26*c[10])/3 + 4*c[12] - 
       8*c[14] + 20*c[15] - c[17] - 3*c[18] - 26*c[21] + 14*c[22] + 
       60*c[23] + 17*c[24] - 46*c[25] + 18*c[26] - c[27] + c[28]/6)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (6*c[1] - 36*c[2] - (110*c[3])/3 - 32*c[5] + 15*c[6] + 22*c[7] + 
       47*c[8] - (157*c[9])/2 - (10*c[10])/3 + 2*c[13] - 10*c[14] + 2*c[15] - 
       c[18] + 12*c[20] - 22*c[21] + 18*c[22] + 32*c[23] + 22*c[24] - 
       13*c[25] - 6*c[26] + c[27] + c[28]/6)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v] + (-3*c[1] - 16*c[2] - 38*c[3] - 32*c[5] + 
       30*c[6] + 8*c[7] + (199*c[8])/2 - (69*c[9])/2 - (26*c[10])/3 - 
       16*c[12] + 10*c[14] - 2*c[15] - c[18] + 12*c[20] - 22*c[21] + 
       18*c[22] + 32*c[23] + 16*c[24] - 22*c[25] + (21*c[26])/2 + c[27] + 
       c[28]/6)*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-c[2] + c[3]/3 - 5*c[6] - 3*c[7] + 7*c[8] + 2*c[9] + c[10]/3 + c[15] + 
       c[19] - c[22])*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-3*c[1] - (34*c[2])/3 - (26*c[3])/9 + 25*c[6] + 18*c[7] + 
       (505*c[8])/6 + (7*c[9])/2 - (70*c[10])/9 + c[17] + 2*c[19] + 8*c[22] - 
       6*c[24] - (23*c[25])/3 + (23*c[26])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w] + (10*c[1] - c[3] + (9*c[6])/2 - 6*c[7] + 
       (17*c[8])/4 + (3*c[9])/4 + 3*c[10] - c[13] + 6*c[22] + 3*c[24] - 
       (13*c[25])/2 + 2*c[26])*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     (8*c[1] - (28*c[2])/3 + (2*c[3])/3 + 17*c[6] + 46*c[7] + (331*c[8])/6 + 
       (43*c[9])/2 + (50*c[10])/9 - 8*c[12] + 2*c[15] + 2*c[17] - 2*c[19] + 
       4*c[22] - 8*c[24] - (56*c[25])/3 + (59*c[26])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (18*c[1] + 4*c[2] - (10*c[3])/3 - 12*c[6] + 10*c[7] - (63*c[8])/2 + 
       (13*c[9])/2 + (28*c[10])/3 + 2*c[12] - 8*c[13] - 4*c[14] - 8*c[15] - 
       c[18] + 4*c[20] - 24*c[21] + 4*c[22] + 38*c[23] + 16*c[24] + c[26]/2 + 
       c[28]/6)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-c[2] - (13*c[3])/3 - (5*c[6])/2 + 2*c[7] - (27*c[8])/4 - (9*c[9])/4 + 
       5*c[10] - 2*c[22] - 2*c[24] + (7*c[25])/2 - c[26]/2)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - w] + (33*c[1] - 22*c[2] - 2*c[3] - 48*c[5] + 
       16*c[6] + 4*c[7] + 94*c[8] - 79*c[9] - (26*c[10])/3 - 4*c[13] - 
       10*c[14] - 2*c[15] - c[17] - 3*c[18] - 26*c[21] + 14*c[22] + 
       60*c[23] + 17*c[24] - 46*c[25] + 18*c[26] - c[27] + c[28]/6)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (30*c[1] - 12*c[2] - (16*c[3])/3 - 32*c[5] + 30*c[6] + 8*c[7] + 
       (199*c[8])/2 - (69*c[9])/2 - (26*c[10])/3 - 6*c[13] - 12*c[14] - 
       4*c[15] - c[18] + 12*c[20] - 22*c[21] + 18*c[22] + 32*c[23] + 
       16*c[24] - 22*c[25] + (21*c[26])/2 + c[27] + c[28]/6)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (39*c[1] - 12*c[2] - 4*c[3] - 32*c[5] + 15*c[6] + 22*c[7] + 47*c[8] - 
       (157*c[9])/2 - (10*c[10])/3 - 24*c[12] - 4*c[13] + 8*c[14] - 8*c[15] - 
       c[18] + 12*c[20] - 22*c[21] + 18*c[22] + 32*c[23] + 22*c[24] - 
       13*c[25] - 6*c[26] + c[27] + c[28]/6)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + ((9*c[1])/2 + 4*c[2] - c[3]/3 + (3*c[6])/2 - 
       3*c[7] - c[8]/2 - (3*c[9])/2 + c[10]/3 + 3*c[22] + (3*c[24])/2 - 
       c[25] - (5*c[26])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + (9*c[1] + 2*c[2] - (8*c[3])/3 + 3*c[6] - 
       6*c[7] + 5*c[8] - 18*c[9] + (2*c[10])/3 + 6*c[22] + 3*c[24] - 
       5*c[25] + c[26]/2)*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (c[2] - c[3] + (3*c[6])/2 - 3*c[7] - c[8]/2 - (3*c[9])/2 + c[10]/3 + 
       3*c[22] + (3*c[24])/2 - c[25] - (5*c[26])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-c[1] + 22*c[2] - 2*c[3] + 8*c[6] - 24*c[7] + 21*c[8] - 2*c[9] - 
       (14*c[10])/3 + 6*c[12] + c[13] - 9*c[15] - 2*c[17] - 7*c[19] + 
       9*c[22] + 2*c[24] - 4*c[25] + c[26]/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u] + (-8*c[2] - 4*c[3] + 6*c[7] - 2*c[8] + 
       12*c[9] + (28*c[10])/3 - 6*c[12] - 4*c[25] + 4*c[26])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-c[1] + 22*c[2] - (20*c[3])/3 + c[4] + 12*c[6] - 16*c[7] + c[8] - 
       38*c[9] - (14*c[10])/3 + c[13] - 11*c[15] - c[16] - c[17]/2 - 
       15*c[19] + 21*c[22] - c[24] - c[25] + 2*c[26])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u] + (-c[1] + 5*c[2] - c[3] + c[6] - 13*c[7] + 
       6*c[8] - 4*c[9] + c[10] + c[13] - 4*c[15] + 4*c[16] - 2*c[17] + 
       c[19] + 4*c[22] - c[24] - c[25] + 2*c[26])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + (-c[1] + 5*c[2] - c[3] + c[6] - 13*c[7] + 
       6*c[8] - 4*c[9] + c[10] + c[13] - 4*c[15] + 4*c[16] - 2*c[17] + 
       c[19] + 4*c[22] - c[24] - c[25] + 2*c[26])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u] + (4*c[1] + 6*c[2] + 9*c[9] + 3*c[25] - 
       3*c[26])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((13*c[1])/2 + 7*c[2] - c[3]/3 + (3*c[6])/2 - 3*c[7] - (7*c[8])/2 - 
       (3*c[9])/2 + (7*c[10])/3 + 3*c[22] + (3*c[24])/2 - 4*c[25] + 
       (7*c[26])/4)*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-c[1] + 15*c[2] + 7*c[3] + 12*c[5] + 5*c[6] - 2*c[7] + 17*c[8] + 
       16*c[9] + (31*c[10])/3 - 6*c[12] + 3*c[13] - 4*c[14] - 7*c[15] - 
       c[22] - 4*c[23] - 7*c[24] + 11*c[25] + 4*c[26])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-7*c[2] - (52*c[3])/3 - 18*c[5] + (7*c[6])/2 - 15*c[7] + (27*c[8])/2 - 
       10*c[9] - 10*c[10] + 6*c[14] + 6*c[15] + 9*c[22] + 6*c[23] + 
       (31*c[24])/2 - 6*c[25] - (15*c[26])/4)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + (18*c[2] - 4*c[3] - 4*c[5] + 3*c[6] - 
       12*c[7] + 3*c[8] - 27*c[9] - (14*c[10])/3 + 6*c[12] + 6*c[22] + 
       3*c[24] - (9*c[26])/2)*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((-15*c[1])/2 + 24*c[2] - (32*c[3])/3 - 6*c[5] + (45*c[6])/2 - 26*c[7] + 
       (181*c[8])/2 - 13*c[9] - (28*c[10])/3 - 9*c[13] + 2*c[14] - c[15] - 
       c[22] + 2*c[23] + (9*c[24])/2 - 10*c[25] + (25*c[26])/4)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((-7*c[1])/2 + 49*c[2] - (43*c[3])/3 - 6*c[5] + 19*c[6] - 52*c[7] + 
       (175*c[8])/4 - (265*c[9])/4 - (29*c[10])/3 - 12*c[13] + 2*c[14] - 
       c[15] - c[22] + 2*c[23] + (11*c[24])/2 + (47*c[25])/2 - (79*c[26])/4)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (c[1]/2 + 27*c[2] - (8*c[3])/3 - 6*c[5] + (3*c[6])/2 - 8*c[7] - 8*c[8] + 
       41*c[9] + 4*c[10] + 15*c[13] + 2*c[14] - c[15] - c[22] + 2*c[23] + 
       (9*c[24])/2 + 11*c[25] - (5*c[26])/4)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + (5*c[2] - (5*c[3])/3 + 12*c[5] + 8*c[6] - 
       14*c[7] + 24*c[8] - 14*c[9] + (5*c[10])/3 + 3*c[13] - 3*c[15] + 
       5*c[22] - 4*c[23] - 4*c[24] + 10*c[25] + c[26]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((19*c[2])/2 - 2*c[3] - 4*c[5] - 4*c[8] + 3*c[9] + 4*c[10] + c[25] - 
       c[26])*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - w] + 
     (13*c[2] - 2*c[3] + 3*c[6] - 12*c[7] + 7*c[8] - 21*c[9] - (26*c[10])/3 + 
       6*c[12] + 6*c[22] + 3*c[24] + 2*c[25] - (13*c[26])/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((27*c[1])/2 + c[2] + (37*c[3])/3 - 18*c[5] + c[6]/2 - 3*c[7] + 
       (13*c[8])/2 + 20*c[9] - (4*c[10])/3 - 6*c[12] + 3*c[22] + 6*c[23] + 
       (25*c[24])/2 - 5*c[25] - c[26]/4)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w] + (c[2] - 3*c[3] + (3*c[6])/2 - 3*c[7] - 
       (7*c[8])/2 - (3*c[9])/2 + (7*c[10])/3 + 3*c[22] + (3*c[24])/2 - 
       4*c[25] + (7*c[26])/4)*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w] + 
     (24*c[2] + 6*c[3] - 6*c[5] + (45*c[6])/2 - 26*c[7] + (181*c[8])/2 - 
       13*c[9] - (28*c[10])/3 + 3*c[13] - 3*c[15] - c[22] + 2*c[23] + 
       (9*c[24])/2 - 10*c[25] + (25*c[26])/4)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w] + ((26*c[3])/3 - 6*c[5] + (3*c[6])/2 - 
       8*c[7] - 8*c[8] + 41*c[9] + 4*c[10] + 3*c[13] - 3*c[15] - c[22] + 
       2*c[23] + (9*c[24])/2 + 11*c[25] - (5*c[26])/4)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w] + (35*c[2] - c[3] - 6*c[5] + 19*c[6] - 
       52*c[7] + (175*c[8])/4 - (265*c[9])/4 - (29*c[10])/3 + 3*c[13] - 
       3*c[15] - c[22] + 2*c[23] + (11*c[24])/2 + (47*c[25])/2 - 
       (79*c[26])/4)*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (-3*c[1] - (62*c[2])/3 - (46*c[3])/9 - c[6] + 2*c[7] + c[8]/3 + c[9] - 
       (2*c[10])/9 - 2*c[22] - c[24] + (8*c[25])/3 - (7*c[26])/6)*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     ((46*c[2])/3 + 6*c[3] - c[6] + 2*c[7] + c[8]/3 + c[9] - (2*c[10])/9 - 
       16*c[11] - 2*c[22] - c[24] + (8*c[25])/3 - (7*c[26])/6)*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     (-3*c[1] - (14*c[2])/3 + (2*c[3])/9 - c[6] + 2*c[7] + (49*c[8])/3 + 
       c[9] - (2*c[10])/9 + 8*c[16] + 8*c[19] - 2*c[22] - c[24] + 
       (8*c[25])/3 - (7*c[26])/6)*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 
       1 - v] + ((-2*c[2])/3 + (2*c[3])/3 - 8*c[4] - c[6] + 2*c[7] + c[8]/3 + 
       c[9] - (2*c[10])/9 - 2*c[22] - c[24] + (8*c[25])/3 - (7*c[26])/6)*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     (29*c[1] - (14*c[2])/3 + (2*c[3])/9 - 8*c[4] - c[6] + 2*c[7] + c[8]/3 + 
       c[9] - (2*c[10])/9 - 2*c[22] - c[24] + (8*c[25])/3 - (7*c[26])/6)*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     ((-2*c[2])/3 + (2*c[3])/3 - c[6] + 2*c[7] + (49*c[8])/3 + c[9] - 
       (2*c[10])/9 + 8*c[16] + 8*c[19] - 2*c[22] - c[24] + (8*c[25])/3 - 
       (7*c[26])/6)*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     (37*c[1] - (14*c[2])/3 + (2*c[3])/9 - 7*c[6] + 22*c[7] - (263*c[8])/3 + 
       21*c[9] + (274*c[10])/9 - 12*c[12] + 36*c[13] + 10*c[22] + 17*c[24] - 
       (94*c[25])/3 + (35*c[26])/6)*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 
       1 - u] + (18*c[1] - (2*c[2])/3 - 42*c[3] - 7*c[6] + 22*c[7] - 
       (263*c[8])/3 + 21*c[9] + (274*c[10])/9 + 12*c[12] - 12*c[13] - 
       12*c[15] + 10*c[22] + 17*c[24] - (94*c[25])/3 + (35*c[26])/6)*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u] + 
     (-3*c[1] + (250*c[2])/3 - (286*c[3])/9 + 13*c[6] - 54*c[7] + 
       (49*c[8])/3 - 37*c[9] - (2*c[10])/9 + 12*c[12] - 8*c[13] - 48*c[20] + 
       10*c[22] - 7*c[24] + (68*c[25])/3 - (73*c[26])/6 - 6*c[27])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     ((-86*c[2])/3 + (86*c[3])/3 - 5*c[6] + 2*c[7] - (29*c[8])/3 + 45*c[9] - 
       (86*c[10])/9 + 4*c[15] - 2*c[17] - 4*c[19] + 6*c[22] + 3*c[24] - 
       (22*c[25])/3 + (17*c[26])/6)*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 
       1 - v] + (5*c[1] - (2*c[2])/3 + (86*c[3])/9 - 5*c[6] + 2*c[7] - 
       (29*c[8])/3 + 45*c[9] - (86*c[10])/9 + 8*c[13] - 2*c[17] - 4*c[19] + 
       6*c[22] + 3*c[24] - (22*c[25])/3 + (17*c[26])/6)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - w] + (-18*c[1] - (2*c[2])/3 - (22*c[3])/3 + 
       13*c[6] - 54*c[7] + (49*c[8])/3 - 37*c[9] - (2*c[10])/9 + 12*c[12] - 
       12*c[14] - 48*c[20] + 10*c[22] - 7*c[24] + (68*c[25])/3 - 
       (73*c[26])/6 - 6*c[27])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w] + 
     (19*c[1] - 2*c[2] - (2*c[3])/3 - 5*c[6] + 10*c[7] - 31*c[8] + 3*c[9] + 
       14*c[10] - 4*c[12] + 16*c[13] + 6*c[22] + 7*c[24] - 13*c[25] + 
       (5*c[26])/2)*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     (6*c[1] + 2*c[2] - (58*c[3])/3 - 5*c[6] + 10*c[7] - 31*c[8] + 3*c[9] + 
       14*c[10] + 4*c[12] - 4*c[13] - 4*c[15] + 6*c[22] + 7*c[24] - 
       13*c[25] + (5*c[26])/2)*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     (3*c[1] + 38*c[2] - 14*c[3] + 7*c[6] - 26*c[7] + 8*c[8] - 11*c[9] - 
       (8*c[10])/3 + 4*c[12] - 4*c[13] - 16*c[20] + 6*c[22] - c[24] + 
       4*c[25] - (5*c[26])/2 - 2*c[27])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - v] + (-11*c[2] + (52*c[3])/3 - 3*c[6] - 
       10*c[7] + 3*c[8] + 10*c[9] - 10*c[10] - 4*c[15] - 2*c[17] - 4*c[19] + 
       2*c[22] + c[24] - 2*c[25] + c[26]/2)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - v] + (-c[1] + c[2] + (11*c[3])/3 - 3*c[6] - 
       10*c[7] + 3*c[8] + 10*c[9] - 10*c[10] + 4*c[13] - 2*c[17] - 4*c[19] + 
       2*c[22] + c[24] - 2*c[25] + c[26]/2)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - w] + (-6*c[1] + 2*c[2] - (4*c[3])/3 + 7*c[6] - 
       26*c[7] + 8*c[8] - 11*c[9] - (8*c[10])/3 + 4*c[12] - 4*c[14] - 
       16*c[20] + 6*c[22] - c[24] + 4*c[25] - (5*c[26])/2 - 2*c[27])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w] + 
     (18*c[1] - 22*c[2] - (50*c[3])/3 - 24*c[6] - 42*c[7] + 77*c[8] - 
       105*c[9] + (86*c[10])/3 - 4*c[13] - 6*c[17] - 12*c[19] + 42*c[22] + 
       6*c[24] - 8*c[25] - c[26])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 
       1 - u] + (50*c[2] - 62*c[3] - 24*c[6] - 42*c[7] + 77*c[8] - 105*c[9] + 
       (86*c[10])/3 - 12*c[15] - 6*c[17] - 12*c[19] + 42*c[22] + 6*c[24] - 
       8*c[25] - c[26])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     (3*c[1] + 56*c[2] - (50*c[3])/3 + 51*c[6] - 84*c[7] + 98*c[8] - 6*c[9] - 
       (134*c[10])/3 - 36*c[13] + 12*c[22] + 21*c[24] - 26*c[25] - 
       (11*c[26])/2)*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     (126*c[1] + 80*c[2] + (212*c[3])/3 - 144*c[5] + 165*c[6] - 150*c[7] + 
       368*c[8] - 216*c[9] - 180*c[10] + 60*c[12] - 24*c[13] + 36*c[14] - 
       12*c[15] + 6*c[18] - 24*c[20] + 168*c[21] + 18*c[22] - 192*c[23] + 
       33*c[24] - 32*c[25] - (233*c[26])/2 - c[28])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - v] + (-45*c[1] + 182*c[2] - (44*c[3])/3 - 
       144*c[5] + 165*c[6] - 150*c[7] + 368*c[8] - 216*c[9] - 180*c[10] + 
       60*c[12] + 12*c[13] + 48*c[14] + 48*c[15] + 6*c[18] - 24*c[20] + 
       168*c[21] + 18*c[22] - 192*c[23] + 33*c[24] - 32*c[25] - 
       (233*c[26])/2 - c[28])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w] + 
     (50*c[2] + (34*c[3])/3 + 51*c[6] - 84*c[7] + 98*c[8] - 6*c[9] - 
       (134*c[10])/3 + 12*c[22] + 21*c[24] - 26*c[25] - (11*c[26])/2)*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w] + 
     ((9*c[1])/2 - (17*c[2])/3 - (37*c[3])/9 - (25*c[6])/2 - 13*c[7] + 
       (83*c[8])/6 - (53*c[9])/2 + (85*c[10])/9 - 2*c[17] - 4*c[19] + 
       13*c[22] + (3*c[24])/2 - c[25]/3 - (23*c[26])/12)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - u] + ((37*c[2])/3 - (53*c[3])/3 - 
       (25*c[6])/2 - 13*c[7] + (83*c[8])/6 - (53*c[9])/2 + (85*c[10])/9 - 
       4*c[15] - 2*c[17] - 4*c[19] + 13*c[22] + (3*c[24])/2 - c[25]/3 - 
       (23*c[26])/12)*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     (-c[1]/2 + (61*c[2])/3 - (37*c[3])/9 + (25*c[6])/2 - 27*c[7] + 
       (119*c[8])/6 + (13*c[9])/2 - (113*c[10])/9 - 8*c[13] + 3*c[22] + 
       (13*c[24])/2 - (22*c[25])/3 - (29*c[26])/12)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + (42*c[1] + (88*c[2])/3 + (71*c[3])/3 - 
       48*c[5] + (117*c[6])/2 - 49*c[7] + (809*c[8])/6 - (153*c[9])/2 - 
       (557*c[10])/9 + 20*c[12] - 8*c[13] + 12*c[14] - 4*c[15] + 2*c[18] - 
       8*c[20] + 56*c[21] + 5*c[22] - 64*c[23] + (21*c[24])/2 - 
       (28*c[25])/3 - (473*c[26])/12 - c[28]/3)*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + ((-33*c[1])/2 + (160*c[2])/3 - 
       (28*c[3])/9 - 48*c[5] + (117*c[6])/2 - 49*c[7] + (809*c[8])/6 - 
       (153*c[9])/2 - (557*c[10])/9 + 20*c[12] + 16*c[14] + 16*c[15] + 
       2*c[18] - 8*c[20] + 56*c[21] + 5*c[22] - 64*c[23] + (21*c[24])/2 - 
       (28*c[25])/3 - (473*c[26])/12 - c[28]/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - w] + ((37*c[2])/3 + (13*c[3])/3 + 
       (25*c[6])/2 - 27*c[7] + (119*c[8])/6 + (13*c[9])/2 - (113*c[10])/9 + 
       3*c[22] + (13*c[24])/2 - (22*c[25])/3 - (29*c[26])/12)*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - w] + 8*c[4]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - u] + 8*c[4]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - u] - 8*c[1]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - v] + (-4*c[1] + 24*c[2] + 8*c[3] - 12*c[6] - 
       12*c[8] + 24*c[9] + 8*c[10] - 12*c[24] + 4*c[25] + 14*c[26])*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v] + 
     (-24*c[2] + 8*c[3] - 12*c[6] - 12*c[8] + 24*c[9] + 8*c[10] - 12*c[24] + 
       4*c[25] + 14*c[26])*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w] + 
     ((-112*c[3])/3 - 64*c[5] + (128*c[10])/3)*HPL[{0, 0, 0, 0, 0, 1}, 
       1 - u] - 16*c[4]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v] + 
     (64*c[1] - 16*c[4])*HPL[{0, 0, 0, 0, 0, 1}, 1 - w] + 
     (-32*c[1] - 8*c[2] + (112*c[3])/3 + 8*c[6] - 72*c[7] + 76*c[8] + 
       52*c[9] - (224*c[10])/3 + 4*c[12] - 32*c[14] - 8*c[18] - 16*c[20] - 
       64*c[21] + 80*c[23] - 16*c[24] + 4*c[25] + 44*c[26])*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - u] + (-8*c[2] + (8*c[3])/3 + 64*c[7] + 
       20*c[8] + 34*c[9] + (8*c[10])/3 + 16*c[15] + 4*c[16] + 4*c[17] + 
       8*c[22] + 4*c[24] - 6*c[25])*HPL[{0, 0, 0, 0, 1, 1}, 1 - v] + 
     (20*c[1] - 52*c[2] + (8*c[3])/3 + 64*c[7] + 20*c[8] + 34*c[9] + 
       (8*c[10])/3 + 16*c[13] + 4*c[16] + 4*c[17] + 8*c[22] + 4*c[24] - 
       6*c[25])*HPL[{0, 0, 0, 0, 1, 1}, 1 - w] + 
     (-15*c[1] - 6*c[2] + 16*c[3] - 26*c[7] + 29*c[8] + 45*c[9] - 32*c[10] - 
       3*c[12] - 8*c[14] - 24*c[21] + 32*c[23] - 2*c[24] - c[25] + 16*c[26])*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - u] + (-2*c[2] + (26*c[3])/3 - 5*c[6] + 
       10*c[7] + 17*c[8] + (11*c[9])/2 - (22*c[10])/3 + 3*c[16] + 
       (3*c[25])/2 - (3*c[26])/2)*HPL[{0, 0, 0, 1, 0, 1}, 1 - v] + 
     (-21*c[2] + (2*c[3])/3 - 5*c[6] + 10*c[7] + 17*c[8] + (11*c[9])/2 - 
       (22*c[10])/3 + 8*c[13] + 3*c[16] + (3*c[25])/2 - (3*c[26])/2)*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - w] + (-40*c[6] + 342*c[8] + 360*c[9] + 
       6*c[17] + 42*c[18] + 48*c[22] + 48*c[25] - 48*c[26] - 6*c[27] - c[28])*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - u] + (-24*c[1] - 18*c[2] + 190*c[3] - 
       144*c[5] + 12*c[6] - 90*c[7] + 87*c[8] + 81*c[9] - 186*c[10] + 
       36*c[12] + 12*c[13] + 48*c[14] + 48*c[15] + 6*c[18] + 24*c[20] + 
       168*c[21] - 192*c[23] - 24*c[24] - 24*c[25] - 33*c[26] + 6*c[27] - 
       c[28])*HPL[{0, 0, 0, 1, 1, 1}, 1 - v] + 
     (-78*c[1] + 102*c[2] + 70*c[3] - 144*c[5] + 12*c[6] - 90*c[7] + 
       87*c[8] + 81*c[9] - 186*c[10] + 60*c[12] + 72*c[13] + 48*c[14] + 
       48*c[15] + 6*c[18] + 24*c[20] + 168*c[21] - 192*c[23] - 24*c[24] - 
       24*c[25] - 33*c[26] + 6*c[27] - c[28])*HPL[{0, 0, 0, 1, 1, 1}, 
       1 - w] + (-16*c[2] + (16*c[3])/3 - 24*c[6] + 8*c[7] + 122*c[8] + 
       152*c[9] + (16*c[10])/3 + 2*c[17] + 14*c[18] + 16*c[25] - 16*c[26] - 
       2*c[27] - c[28]/3)*HPL[{0, 0, 1, 0, 1, 1}, 1 - u] + 
     (-33*c[1] - 18*c[2] + 76*c[3] - 48*c[5] - 10*c[6] - 14*c[7] + 11*c[8] + 
       51*c[9] - 60*c[10] + 12*c[12] + 10*c[13] + 16*c[14] + 16*c[15] + 
       2*c[18] + 8*c[20] + 56*c[21] - 64*c[23] - 16*c[24] - 6*c[25] + 
       2*c[27] - c[28]/3)*HPL[{0, 0, 1, 0, 1, 1}, 1 - v] + 
     (-27*c[1] + 14*c[2] + 36*c[3] - 48*c[5] - 10*c[6] - 14*c[7] + 11*c[8] + 
       51*c[9] - 60*c[10] + 20*c[12] + 24*c[13] + 16*c[14] + 16*c[15] + 
       2*c[18] + 8*c[20] + 56*c[21] - 64*c[23] - 16*c[24] - 6*c[25] + 
       2*c[27] - c[28]/3)*HPL[{0, 0, 1, 0, 1, 1}, 1 - w] + 
     (-6*c[1] - 16*c[2] + 8*c[7] + 6*c[8] + 48*c[9] + 16*c[10] - 8*c[14] - 
       8*c[21] - 16*c[22] - 6*c[24] + 24*c[25] - 18*c[26])*
      HPL[{0, 0, 1, 1, 0, 1}, 1 - u] + (-25*c[1] - 18*c[2] + 12*c[3] - 
       22*c[6] + 15*c[7] - 41*c[8] + 36*c[9] + (20*c[10])/3 + 6*c[13] - 
       8*c[24] + 2*c[25] + 11*c[26])*HPL[{0, 0, 1, 1, 0, 1}, 1 - v] + 
     (-c[1] - 11*c[2] + (28*c[3])/3 - 22*c[6] + 15*c[7] - 41*c[8] + 36*c[9] + 
       (20*c[10])/3 + 8*c[13] - 8*c[24] + 2*c[25] + 11*c[26])*
      HPL[{0, 0, 1, 1, 0, 1}, 1 - w] + (-100*c[2] + (100*c[3])/3 + 4*c[4] - 
       52*c[6] + 52*c[7] + 12*c[8] + 200*c[9] + (100*c[10])/3 + 4*c[15] - 
       4*c[16] - 2*c[17] + 16*c[19] - 100*c[22])*HPL[{0, 0, 1, 1, 1, 1}, 
       1 - u] + (-88*c[1] - 72*c[2] + (196*c[3])/3 - 146*c[6] + 140*c[7] - 
       317*c[8] + 281*c[9] + (172*c[10])/3 + 108*c[13] - 44*c[24] - 2*c[25] + 
       68*c[26])*HPL[{0, 0, 1, 1, 1, 1}, 1 - v] + 
     (-196*c[2] + (220*c[3])/3 - 146*c[6] + 140*c[7] - 317*c[8] + 281*c[9] + 
       (172*c[10])/3 - 44*c[24] - 2*c[25] + 68*c[26])*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - w] + (-19*c[2] + (19*c[3])/3 + 3*c[4] - 
       3*c[6] + 3*c[7] + 17*c[8] + 38*c[9] + (19*c[10])/3 - 3*c[15] - 
       3*c[16] - (3*c[17])/2 - 19*c[22])*HPL[{0, 1, 0, 1, 1, 1}, 1 - u] + 
     (-21*c[1] - 24*c[2] + (43*c[3])/3 - (67*c[6])/2 + 35*c[7] - 
       (305*c[8])/4 + (257*c[9])/4 + (37*c[10])/3 + 27*c[13] - 8*c[24] - 
       (3*c[25])/2 + (27*c[26])/2)*HPL[{0, 1, 0, 1, 1, 1}, 1 - v] + 
     (-43*c[2] + (49*c[3])/3 - (67*c[6])/2 + 35*c[7] - (305*c[8])/4 + 
       (257*c[9])/4 + (37*c[10])/3 - 8*c[24] - (3*c[25])/2 + (27*c[26])/2)*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - w] - c[4]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u] + 
     15*c[1]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v] + 
     ((-3*c[1])/2 - (2*c[2])/3 - c[3]/9 - c[6]/2 + 2*c[7] - (7*c[8])/6 + 
       5*c[9] + (13*c[10])/9 - c[22] - c[24]/2 + c[25]/6 + (7*c[26])/12)*
      HPL[{1}, 1 - v]*M1[u, v, w] + ((-8*c[2])/3 + c[3]/3 - c[6]/2 + 2*c[7] - 
       (7*c[8])/6 + 5*c[9] + (13*c[10])/9 - c[12] - c[22] - c[24]/2 + 
       c[25]/6 + (7*c[26])/12)*HPL[{1}, 1 - w]*M1[u, v, w] + 
     ((-4*c[2])/3 + c[3]/9 - (7*c[8])/3 + c[9]/2 - (4*c[10])/9 - c[25]/6 + 
       c[26]/6)*HPL[{1}, 1 - v]*M1[v, u, w] + 
     ((5*c[2])/3 - c[7] - c[8]/3 - 3*c[9] - (10*c[10])/9 + c[12] + c[25]/3 - 
       c[26]/3)*HPL[{1}, 1 - w]*M1[v, u, w] + 
     ((-3*c[1])/2 - c[2]/3 + (4*c[3])/9 - (3*c[6])/2 + c[7] - (17*c[8])/6 + 
       3*c[9] - c[10]/9 + c[19] - c[22] - c[24]/2 + (5*c[25])/6 - c[26]/12)*
      HPL[{1}, 1 - v]*M1[v, w, u] + ((-7*c[2])/3 + c[3]/3 - c[6]/2 + 2*c[7] - 
       (5*c[8])/6 + (5*c[9])/2 + (11*c[10])/9 - c[12] - c[22] - c[24]/2 + 
       c[25]/3 + (5*c[26])/12)*HPL[{1}, 1 - w]*M1[v, w, u] + 
     ((-3*c[1])/2 + c[3]/3 - c[6]/2 + c[7] - (3*c[8])/2 + 2*c[9] + c[10]/3 - 
       c[22] - c[24]/2 + c[25]/2 + c[26]/4)*HPL[{1}, 1 - v]*M1[w, u, v] + 
     (-3*c[2] + c[3] - c[6]/2 + 2*c[7] - (7*c[8])/2 + (11*c[9])/2 + c[10] - 
       c[12] + c[15] - c[22] - c[24]/2 + (3*c[26])/4)*HPL[{1}, 1 - w]*
      M1[w, u, v] + ((-2*c[2])/3 - c[3]/9 + c[8]/3 - (5*c[9])/2 - 
       (2*c[10])/9 + c[25]/6 - c[26]/6)*HPL[{1}, 1 - v]*M1[w, v, u] + 
     ((4*c[2])/3 + (2*c[3])/3 - c[6] - c[7] - (5*c[8])/3 - 2*c[9] - 
       (14*c[10])/9 + c[12] + c[15] + c[19] + (2*c[25])/3 - (2*c[26])/3)*
      HPL[{1}, 1 - w]*M1[w, v, u] + (c[2]/3 + (2*c[3])/9 - (2*c[8])/3 + 
       c[9] + c[10]/9 - c[25]/3 + c[26]/3)*HPL[{1}, 1 - v]*Nt[u, v, w] + 
     ((-2*c[2])/3 + c[3]/3 - (2*c[8])/3 + c[9] + c[10]/9 - c[25]/3 + c[26]/3)*
      HPL[{1}, 1 - w]*Nt[u, v, w] + (-c[1] - (2*c[2])/3 - (4*c[3])/9 + 
       (23*c[8])/6 - (9*c[9])/2 + (16*c[10])/9 + c[13] - c[15] - c[24] - 
       (4*c[25])/3 + (7*c[26])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      Omega2[u, v, w] + (-3*c[1] - (4*c[2])/3 + (4*c[3])/9 - c[6] + 2*c[7] - 
       c[8]/3 + 4*c[9] - (4*c[10])/9 - 2*c[22] - c[24] + (7*c[25])/3 - 
       (5*c[26])/6)*HPL[{1}, 1 - v]^2*Omega2[u, v, w] + 
     (c[1] + (4*c[2])/3 + (2*c[3])/3 - 2*c[7] - (7*c[8])/6 - (9*c[9])/2 - 
       (44*c[10])/9 + 2*c[12] - c[13] + c[15] + c[24] + (5*c[25])/3 - 
       (8*c[26])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[u, v, w] + 
     (2*c[1] - (17*c[2])/3 + (37*c[3])/9 - c[6] + 4*c[7] - (5*c[8])/3 + 
       5*c[9] + (22*c[10])/9 - 2*c[12] - c[14] - c[15] - 2*c[22] - c[24] + 
       (2*c[25])/3 + (5*c[26])/6)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Omega2[u, v, w] + ((-4*c[2])/3 + (2*c[3])/3 - (4*c[8])/3 + 2*c[9] + 
       (2*c[10])/9 - (2*c[25])/3 + (2*c[26])/3)*HPL[{1}, 1 - w]^2*
      Omega2[u, v, w] + (c[1]/2 - 6*c[2] + (11*c[3])/3 - c[14] - c[15])*
      HPL[{0, 1}, 1 - u]*Omega2[u, v, w] + 
     ((7*c[1])/2 - 2*c[2] + (7*c[3])/3 + (5*c[6])/2 + 2*c[7] + (7*c[8])/4 + 
       8*c[9] + (4*c[10])/3 - c[14] - c[15] + c[24] - (7*c[25])/2 + 
       (7*c[26])/4)*HPL[{0, 1}, 1 - v]*Omega2[u, v, w] + 
     (c[1]/2 - 2*c[2] + (11*c[3])/3 - (5*c[6])/2 - 2*c[7] - (7*c[8])/4 - 
       8*c[9] - (4*c[10])/3 - c[14] - c[15] - c[24] + (7*c[25])/2 - 
       (7*c[26])/4)*HPL[{0, 1}, 1 - w]*Omega2[u, v, w] + 
     (c[1] - (4*c[2])/3 + (4*c[3])/9 - (23*c[8])/6 + (3*c[9])/2 - 
       (16*c[10])/9 - c[13] + c[15] + c[24] + c[25]/3 - (4*c[26])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[v, w, u] + 
     ((-10*c[2])/3 - (2*c[3])/9 + (8*c[8])/3 - 3*c[9] - (10*c[10])/9 + 
       c[25]/3 - c[26]/3)*HPL[{1}, 1 - v]^2*Omega2[v, w, u] + 
     (c[1] - (10*c[2])/3 + (2*c[3])/3 - (23*c[8])/6 + (3*c[9])/2 - 
       (16*c[10])/9 - c[13] + c[15] + c[24] + c[25]/3 - (4*c[26])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[v, w, u] + 
     (-4*c[1] + c[2] + (5*c[3])/9 + 6*c[5] + 4*c[7] - 2*c[8] - 6*c[9] - 
       2*c[10] + 2*c[12] - c[14] - c[15] - 2*c[22] - 2*c[23] - 4*c[24])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[v, w, u] + 
     ((-14*c[2])/3 + (4*c[3])/3 - c[6] + 4*c[7] + c[8]/3 + 7*c[9] + 
       (16*c[10])/9 - 2*c[12] - 2*c[22] - c[24] + (2*c[25])/3 + (5*c[26])/6)*
      HPL[{1}, 1 - w]^2*Omega2[v, w, u] + 
     (-c[1]/2 - 10*c[2] + c[3] + 6*c[5] - c[6] + 8*c[7] - 18*c[8] - 4*c[9] - 
       4*c[10] - 2*c[13] - c[14] + c[15] - 2*c[23] - c[24] + 5*c[25] - 
       (11*c[26])/2)*HPL[{0, 1}, 1 - u]*Omega2[v, w, u] + 
     ((5*c[1])/2 - 6*c[2] + (7*c[3])/3 + 6*c[5] + c[6]/2 + 2*c[7] - 
       (11*c[8])/4 + 2*c[9] - (16*c[10])/3 - 2*c[13] - c[14] + c[15] - 
       2*c[23] - (3*c[25])/2 - (5*c[26])/4)*HPL[{0, 1}, 1 - v]*
      Omega2[v, w, u] + (-c[1]/2 - 6*c[2] + c[3] + 6*c[5] + c[6]/2 + 2*c[7] - 
       (11*c[8])/4 + 2*c[9] - (16*c[10])/3 - 2*c[13] - c[14] + c[15] - 
       2*c[23] - (3*c[25])/2 - (5*c[26])/4)*HPL[{0, 1}, 1 - w]*
      Omega2[v, w, u] + (-2*c[1] - 4*c[2] + (2*c[3])/3 - c[6] + 2*c[7] - 
       (7*c[8])/2 + (11*c[9])/2 - 2*c[10] - c[13] + c[15] - 2*c[22] + 
       2*c[25] - (3*c[26])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      Omega2[w, u, v] + ((2*c[2])/3 + (4*c[3])/9 - (4*c[8])/3 + 2*c[9] + 
       (2*c[10])/9 - (2*c[25])/3 + (2*c[26])/3)*HPL[{1}, 1 - v]^2*
      Omega2[w, u, v] + (-c[1] - 2*c[2] - c[6] + 4*c[7] + (3*c[8])/2 + 
       (11*c[9])/2 + (14*c[10])/3 - 2*c[12] + c[13] - c[15] - 2*c[22] - 
       2*c[24] - c[25] + (7*c[26])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Omega2[w, u, v] + (-2*c[1] - c[2]/3 - (11*c[3])/3 + (2*c[8])/3 - 
       5*c[9] - (4*c[10])/9 + c[14] + c[15] + c[25]/3 - c[26]/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[w, u, v] + 
     (4*c[2] + (2*c[3])/3 - 2*c[7] + 2*c[8] - 6*c[9] - (10*c[10])/3 + 
       2*c[12] + 2*c[25] - 2*c[26])*HPL[{1}, 1 - w]^2*Omega2[w, u, v] + 
     (-c[1]/2 + 6*c[2] - (11*c[3])/3 + c[14] + c[15])*HPL[{0, 1}, 1 - u]*
      Omega2[w, u, v] + ((-7*c[1])/2 + 2*c[2] - (7*c[3])/3 - (5*c[6])/2 - 
       2*c[7] - (7*c[8])/4 - 8*c[9] - (4*c[10])/3 + c[14] + c[15] - c[24] + 
       (7*c[25])/2 - (7*c[26])/4)*HPL[{0, 1}, 1 - v]*Omega2[w, u, v] + 
     (-c[1]/2 + 2*c[2] - (11*c[3])/3 + (5*c[6])/2 + 2*c[7] + (7*c[8])/4 + 
       8*c[9] + (4*c[10])/3 + c[14] + c[15] + c[24] - (7*c[25])/2 + 
       (7*c[26])/4)*HPL[{0, 1}, 1 - w]*Omega2[w, u, v] + 
     ((3*c[1])/2 + (7*c[2])/3 - c[3]/9 + c[6]/2 - c[7] - c[8]/6 - c[9]/2 + 
       c[10]/9 + c[22] + c[24]/2 - (4*c[25])/3 + (7*c[26])/12)*
      HPL[{1}, 1 - v]*Ot[u, v, w] + (c[2]/3 - c[3]/3 + c[6]/2 - c[7] - 
       c[8]/6 - c[9]/2 + c[10]/9 + c[22] + c[24]/2 - (4*c[25])/3 + 
       (7*c[26])/12)*HPL[{1}, 1 - w]*Ot[u, v, w] + 
     (-c[1]/2 + c[2] - c[6]/2 + (15*c[8])/2 - c[9]/2 + c[10] + c[13]/2 - 
       c[15]/2 - c[22] - c[24]/2 - c[25]/2 + c[26])*Phi6[u, v, w]^2 + 
     (16*c[1] - (320*c[2])/9 - (160*c[3])/27 + (16*c[6])/3 + (304*c[8])/9 - 
       (112*c[9])/3 - (224*c[10])/27 + (16*c[24])/3 + (32*c[25])/9 - 
       (104*c[26])/9)*HPL[{1}, 1 - v]*Qep[u, v, w] + 
     ((448*c[2])/9 - (128*c[3])/9 + (16*c[6])/3 - (32*c[7])/3 + (16*c[8])/9 - 
       (208*c[9])/3 - (512*c[10])/27 + (64*c[12])/3 - (32*c[22])/3 + 
       (16*c[24])/3 + (128*c[25])/9 - (200*c[26])/9)*HPL[{1}, 1 - w]*
      Qep[u, v, w] + (-16*c[1] - (160*c[2])/9 + (64*c[3])/27 - (16*c[6])/3 + 
       32*c[7] - (208*c[8])/9 + (112*c[9])/3 + (320*c[10])/27 - 32*c[22] - 
       (16*c[24])/3 + (160*c[25])/9 - (88*c[26])/9)*HPL[{1}, 1 - v]*
      Qep[u, w, v] + ((-352*c[2])/9 + (32*c[3])/9 - (16*c[6])/3 + 
       (128*c[7])/3 + (80*c[8])/9 + (208*c[9])/3 + (608*c[10])/27 - 
       (64*c[12])/3 - (64*c[22])/3 - (16*c[24])/3 + (64*c[25])/9 + 
       (8*c[26])/9)*HPL[{1}, 1 - w]*Qep[u, w, v] + 
     (-32*c[1] - (32*c[2])/3 + (32*c[3])/9 - (32*c[6])/3 + (32*c[7])/3 + 
       (128*c[9])/3 - (32*c[10])/9 - (32*c[22])/3 - (32*c[24])/3 + 
       (32*c[25])/3 + (16*c[26])/3)*HPL[{1}, 1 - v]*Qep[v, u, w] + 
     ((-160*c[2])/3 + (32*c[3])/9 - (32*c[6])/3 + (160*c[7])/3 - 
       (64*c[8])/3 + (224*c[9])/3 + 32*c[10] - (64*c[12])/3 - 32*c[22] - 
       (32*c[24])/3 + 16*c[26])*HPL[{1}, 1 - w]*Qep[v, u, w] + 
     (-16*c[1] - (32*c[2])/3 - (64*c[3])/9 - (16*c[6])/3 - (32*c[7])/3 + 
       (80*c[8])/3 - (272*c[9])/3 - (128*c[10])/9 + (32*c[22])/3 - 
       (16*c[24])/3 + (32*c[25])/3 - (8*c[26])/3)*HPL[{1}, 1 - v]*
      Qep[v, w, u] + (32*c[2] + (160*c[3])/9 - (16*c[6])/3 - (64*c[7])/3 + 
       16*c[8] - (176*c[9])/3 - (352*c[10])/9 + (64*c[12])/3 - (16*c[24])/3 + 
       (64*c[25])/3 - (40*c[26])/3)*HPL[{1}, 1 - w]*Qep[v, w, u] + 
     ((-352*c[2])/9 - (32*c[3])/27 + (32*c[7])/3 + (32*c[8])/9 - 32*c[9] + 
       (32*c[10])/27 - (32*c[22])/3 - (32*c[25])/9 + (32*c[26])/9)*
      HPL[{1}, 1 - v]*Qep[w, u, v] + ((416*c[2])/9 + (32*c[3])/9 - 32*c[7] + 
       (224*c[8])/9 - 64*c[9] - (928*c[10])/27 + (64*c[12])/3 + 
       (32*c[22])/3 + (64*c[25])/9 - (64*c[26])/9)*HPL[{1}, 1 - w]*
      Qep[w, u, v] + (-48*c[1] - (128*c[2])/9 + (224*c[3])/27 - 16*c[6] + 
       (64*c[7])/3 - (80*c[8])/9 + 48*c[9] - (224*c[10])/27 - (64*c[22])/3 - 
       16*c[24] + (224*c[25])/9 - (8*c[26])/9)*HPL[{1}, 1 - v]*Qep[w, v, u] + 
     ((-320*c[2])/9 + (64*c[3])/9 - 16*c[6] + 32*c[7] + (16*c[8])/9 + 
       16*c[9] + (448*c[10])/27 - (64*c[12])/3 - (32*c[22])/3 - 16*c[24] + 
       (128*c[25])/9 + (88*c[26])/9)*HPL[{1}, 1 - w]*Qep[w, v, u] + 
     ((3*c[1])/4 + c[2]/6 - c[3]/18 + c[6]/4 - c[7]/2 - c[8]/12 - c[9]/4 + 
       c[10]/18 + c[22]/2 + c[24]/4 - c[25]/6 - (5*c[26])/24)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*\[Zeta][2] + 
     (c[1]/4 + (21*c[2])/4 + (61*c[3])/12 - (3*c[5])/2 - 2*c[6] - 
       (9*c[7])/2 + 9*c[8] - (15*c[9])/2 - (3*c[10])/2 - c[12]/2 + 
       (5*c[13])/2 - 3*c[15] + 2*c[22] + c[23]/2 - 2*c[24] + (19*c[26])/4)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*\[Zeta][2] + 
     ((8*c[1])/3 - (2*c[3])/3 + c[6] + c[8] - c[9] + (2*c[10])/3 + c[24] - 
       (3*c[26])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*\[Zeta][2] + 
     ((2*c[1])/3 + (7*c[2])/6 - c[3]/18 + c[6]/4 - c[7]/2 - (7*c[8])/12 - 
       c[9]/4 + (7*c[10])/18 + c[22]/2 + c[24]/4 - (2*c[25])/3 + 
       (7*c[26])/24)*HPL[{1}, 1 - v]^4*\[Zeta][2] + 
     (c[2]/6 - c[3]/6 + c[6]/4 - c[7]/2 - c[8]/12 - c[9]/4 + c[10]/18 + 
       c[22]/2 + c[24]/4 - c[25]/6 - (5*c[26])/24)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*\[Zeta][2] + ((17*c[1])/2 - 13*c[2] - (13*c[3])/3 + 
       c[4] + 3*c[5] + 3*c[6] + 10*c[7] - (87*c[8])/2 + 22*c[9] + 
       (14*c[10])/3 - 6*c[13] + 11*c[15] + 2*c[19] + 3*c[22] - c[23] + 
       7*c[24] - 3*c[25] - (23*c[26])/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*\[Zeta][2] + ((15*c[1])/2 + (26*c[2])/3 + (22*c[3])/9 - 
       3*c[5] + 4*c[6] - 10*c[7] + (32*c[8])/3 - (7*c[9])/4 - (49*c[10])/9 - 
       5*c[13] - c[14] - c[15] - 2*c[22] + c[23] + 3*c[24] + (13*c[25])/3 - 
       (97*c[26])/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      \[Zeta][2] + (-5*c[1] + (19*c[2])/3 - (17*c[3])/18 - c[5] - c[6]/4 - 
       (23*c[7])/6 + (29*c[8])/12 + (43*c[9])/12 - c[10]/18 + (2*c[12])/3 + 
       (2*c[15])/3 + (3*c[22])/2 + c[23]/3 - (11*c[24])/12 + (13*c[26])/24)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*\[Zeta][2] + 
     ((-15*c[1])/4 + (37*c[2])/4 - (13*c[3])/12 - (3*c[5])/2 - 2*c[6] - 
       (9*c[7])/2 + 9*c[8] - (15*c[9])/2 - (3*c[10])/2 + c[12]/2 + 
       (5*c[13])/2 - 2*c[15] + 2*c[22] + c[23]/2 - 2*c[24] + (19*c[26])/4)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     ((-5*c[1])/2 + (20*c[2])/3 - (11*c[3])/3 - 3*c[5] + 4*c[6] - 10*c[7] + 
       (32*c[8])/3 - (7*c[9])/4 - (49*c[10])/9 - c[13] + 2*c[14] + 7*c[15] - 
       2*c[22] + c[23] + 3*c[24] + (13*c[25])/3 - (97*c[26])/12)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     (c[1]/4 - (25*c[2])/4 + (55*c[3])/12 + (31*c[5])/2 + (13*c[7])/2 + 
       c[8]/2 - c[9] - (19*c[10])/6 - (5*c[12])/2 - c[13]/2 - 2*c[15] + 
       2*c[21] + 2*c[22] - (9*c[23])/2 - 5*c[24] + (31*c[25])/2 + 
       (11*c[26])/4)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     (2*c[2] - 2*c[3] + c[6] + c[8] - c[9] + (2*c[10])/3 + c[24] - 
       (3*c[26])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*\[Zeta][2] + 
     ((5*c[1])/4 - 3*c[2] + (14*c[3])/3 - c[5] - c[6]/4 - (23*c[7])/6 + 
       (29*c[8])/12 + (43*c[9])/12 - c[10]/18 + (3*c[22])/2 + c[23]/3 - 
       (11*c[24])/12 + (13*c[26])/24)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      \[Zeta][2] + (c[2]/6 - c[3]/2 + c[6]/4 - c[7]/2 - (7*c[8])/12 - 
       c[9]/4 + (7*c[10])/18 + c[22]/2 + c[24]/4 - (2*c[25])/3 + 
       (7*c[26])/24)*HPL[{1}, 1 - w]^4*\[Zeta][2] + 
     (-c[1]/2 - c[2] - (17*c[3])/3 + 3*c[5] + 7*c[6] + 6*c[7] - 7*c[8] + 
       7*c[9] + (28*c[10])/3 - c[13] - c[19] + c[22] - c[23] - 4*c[25] - 
       (3*c[26])/2)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     ((47*c[1])/4 - (55*c[2])/6 + (373*c[3])/18 + (25*c[6])/4 - (21*c[7])/2 - 
       (131*c[8])/12 + (9*c[9])/4 + (53*c[10])/18 - 2*c[13] - 2*c[14] + 
       2*c[19] + c[22]/2 + (5*c[24])/4 + (13*c[25])/6 - c[26]/24)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (-6*c[1] + (145*c[2])/6 + (65*c[3])/18 - 9*c[5] - (17*c[6])/2 - 
       20*c[7] + (223*c[8])/6 + (11*c[9])/2 - (40*c[10])/9 + c[12] + 
       2*c[13] + c[14] - 2*c[15] + 5*c[22] + 3*c[23] - (5*c[24])/2 + 
       (19*c[25])/3 + (65*c[26])/12)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + (-19*c[1] + (167*c[2])/6 - (41*c[3])/2 + (25*c[6])/4 - 
       (21*c[7])/2 - (131*c[8])/12 + (9*c[9])/4 + (53*c[10])/18 + 2*c[12] + 
       2*c[14] + 8*c[15] + 2*c[19] + c[22]/2 + (5*c[24])/4 + (13*c[25])/6 - 
       c[26]/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + (7*c[1] - (208*c[2])/3 - (14*c[3])/3 + 8*c[5] + 8*c[6] + 
       38*c[7] - (103*c[8])/3 + 35*c[9] - (34*c[10])/9 - 6*c[12] - 8*c[13] + 
       2*c[14] + 18*c[15] + 4*c[21] - 12*c[23] + 4*c[24] + (52*c[25])/3 - 
       (61*c[26])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + ((-5*c[1])/2 + (63*c[2])/2 + (15*c[3])/2 - 9*c[5] - 
       (9*c[6])/2 - 36*c[7] + (93*c[8])/2 - (69*c[9])/2 - 16*c[10] + 
       9*c[12] + 4*c[13] - 3*c[15] + 13*c[22] + 3*c[23] + (3*c[24])/2 + 
       5*c[25] + (3*c[26])/4)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + ((-7*c[1])/2 + 2*c[2] - 13*c[3] + 7*c[5] + c[6] + 
       (47*c[8])/2 + (51*c[9])/2 + 22*c[10] + c[12] + c[13] + 4*c[15] - 
       4*c[20] - c[21] - 13*c[22] - 6*c[23] - 2*c[24] + 16*c[25] - 10*c[26])*
      HPL[{0, 1}, 1 - u]^2*\[Zeta][2] + (3*c[1] - (9*c[2])/2 + (41*c[3])/6 + 
       2*c[4] - 8*c[6] + 4*c[7] - 10*c[8] + 2*c[9] + (8*c[10])/3 - c[12] + 
       c[13] - 7*c[15] - c[16] + c[19] - 4*c[22] - 2*c[24] - c[25] + 
       (7*c[26])/2)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (26*c[1] - (35*c[2])/3 + (137*c[3])/9 + 8*c[6] + 2*c[7] + (52*c[8])/3 + 
       (15*c[9])/2 + (4*c[10])/9 - 2*c[12] - 4*c[13] - 2*c[14] - 2*c[15] - 
       2*c[19] + 4*c[22] + 2*c[24] - (19*c[25])/3 + (23*c[26])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((-47*c[1])/4 + (155*c[2])/6 - (167*c[3])/18 - 6*c[5] - (9*c[6])/4 - 
       (23*c[7])/2 + (319*c[8])/12 - (65*c[9])/4 + (89*c[10])/18 + 2*c[12] + 
       3*c[13] + c[14] + c[15] + (13*c[22])/2 + 2*c[23] - (13*c[24])/4 - 
       (13*c[25])/3 + (65*c[26])/24)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + (-13*c[1] + (85*c[2])/3 - (53*c[3])/3 + 2*c[6] - 30*c[7] + 
       (79*c[8])/3 - (109*c[9])/2 - (170*c[10])/9 + 10*c[12] - 2*c[13] + 
       2*c[14] + 14*c[15] + 2*c[19] + 8*c[22] + 2*c[24] + (38*c[25])/3 - 
       (85*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + (-22*c[1] - (97*c[2])/3 - (197*c[3])/18 + 12*c[5] - 
       (7*c[6])/4 + (39*c[7])/2 + (209*c[8])/12 + (309*c[9])/4 - 
       (23*c[10])/18 + 4*c[12] - 4*c[13] + 2*c[14] + 20*c[15] + 
       (21*c[22])/2 - (3*c[24])/4 - (35*c[25])/3 + (31*c[26])/24)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((7*c[1])/2 - (121*c[2])/6 + (59*c[3])/6 - 3*c[5] - (15*c[6])/2 + 
       12*c[7] - (49*c[8])/6 + (63*c[9])/2 + (133*c[10])/9 - 9*c[12] + 
       2*c[13] - 7*c[15] - 5*c[22] + c[23] - (7*c[24])/2 - (31*c[25])/3 + 
       (139*c[26])/12)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (-20*c[1] + 14*c[2] - 13*c[3] + 2*c[6] - 9*c[7] + (183*c[8])/2 + 
       20*c[9] + (52*c[10])/3 + 8*c[14] + 18*c[15] + 4*c[20] - 2*c[21] + 
       8*c[22] + 10*c[23] - 7*c[24] + c[25] - 4*c[26])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + ((-41*c[1])/2 - 11*c[2] - 3*c[3] - 
       3*c[5] - 20*c[6] + 5*c[7] - 8*c[8] - (17*c[9])/2 - (14*c[10])/3 + 
       5*c[12] + 6*c[13] - 3*c[14] + 8*c[15] + c[21] + 5*c[22] + 2*c[23] - 
       c[24] + (25*c[25])/2 - 4*c[26])*HPL[{0, 1}, 1 - v]^2*\[Zeta][2] + 
     (-8*c[1] + (5*c[2])/2 - (11*c[3])/2 + 2*c[4] - 8*c[6] + 4*c[7] - 
       10*c[8] + 2*c[9] + (8*c[10])/3 + c[12] + 3*c[13] + 3*c[15] - c[16] + 
       c[19] - 4*c[22] - 2*c[24] - c[25] + (7*c[26])/2)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + (8*c[1] - c[2] + (61*c[3])/3 - 2*c[6] - 
       14*c[7] + 17*c[8] - (29*c[9])/2 - (22*c[10])/3 - 2*c[12] - 4*c[13] - 
       2*c[14] - 6*c[15] + 2*c[19] - 2*c[24] + 14*c[25] - (19*c[26])/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (-c[1] + (67*c[2])/6 - (163*c[3])/18 - 3*c[5] - (7*c[6])/2 - 4*c[7] + 
       (7*c[8])/6 - (17*c[9])/2 + (29*c[10])/9 + c[12] + 4*c[13] + c[14] + 
       3*c[22] + c[23] + c[24]/2 - (35*c[25])/3 + (83*c[26])/12)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (-13*c[1] - c[2] - (55*c[3])/3 + 4*c[6] + 18*c[7] + 8*c[8] + 
       (95*c[9])/2 + 12*c[10] - 6*c[12] + 2*c[14] + 6*c[15] - 2*c[19] - 
       4*c[22] - 2*c[24] - 5*c[25] + (17*c[26])/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     ((71*c[1])/4 - 22*c[2] + (179*c[3])/9 + 12*c[5] + (9*c[6])/4 + 
       (7*c[7])/2 + (107*c[8])/4 + (149*c[9])/4 - (77*c[10])/6 + 2*c[12] - 
       6*c[13] - 2*c[14] + (37*c[22])/2 + (13*c[24])/4 - 13*c[25] - 
       (27*c[26])/8)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + (c[1] + (23*c[2])/6 + (13*c[3])/2 - 6*c[5] - (9*c[6])/4 - 
       (23*c[7])/2 + (319*c[8])/12 - (65*c[9])/4 + (89*c[10])/18 + 2*c[13] - 
       2*c[15] + (13*c[22])/2 + 2*c[23] - (13*c[24])/4 - (13*c[25])/3 + 
       (65*c[26])/24)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (2*c[1] - c[2] - (7*c[3])/3 + 2*c[6] - 9*c[7] + (183*c[8])/2 + 20*c[9] + 
       (52*c[10])/3 + 2*c[12] + 2*c[13] + 4*c[14] + 6*c[15] + 4*c[20] - 
       2*c[21] + 8*c[22] + 10*c[23] - 7*c[24] + c[25] - 4*c[26])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (-15*c[1] - 4*c[2] - (11*c[3])/3 - c[4] + 6*c[6] + 9*c[7] + 36*c[8] + 
       57*c[9] + (40*c[10])/3 + 8*c[12] + 2*c[13] - 6*c[14] + 12*c[15] + 
       2*c[21] + 14*c[22] - 6*c[23] - 4*c[24] + 22*c[25] - 11*c[26])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     ((21*c[1])/2 - 5*c[2] + (56*c[3])/3 - 3*c[5] - 20*c[6] + 5*c[7] - 
       8*c[8] - (17*c[9])/2 - (14*c[10])/3 - 5*c[12] + 3*c[13] + c[14] - 
       2*c[15] + c[21] + 5*c[22] + 2*c[23] - c[24] + (25*c[25])/2 - 4*c[26])*
      HPL[{0, 1}, 1 - w]^2*\[Zeta][2] + (-2*c[1] - 8*c[2] - (64*c[3])/3 + 
       12*c[5] + 16*c[6] + 20*c[7] - 16*c[8] + 36*c[9] + (116*c[10])/3 - 
       4*c[13] + 4*c[15] - 4*c[23] - 16*c[25] - 6*c[26])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     ((35*c[1])/4 - (19*c[2])/2 + (15*c[3])/2 - (35*c[6])/4 + (15*c[7])/2 - 
       (111*c[8])/4 + (43*c[9])/4 + (25*c[10])/2 + 2*c[13] - 8*c[14] - 
       (7*c[22])/2 + (13*c[24])/4 + c[25]/2 - (27*c[26])/8)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (-5*c[1] - (5*c[2])/2 - (35*c[3])/2 - (35*c[6])/4 + (15*c[7])/2 - 
       (111*c[8])/4 + (43*c[9])/4 + (25*c[10])/2 + 8*c[11] - 4*c[12] - 
       2*c[13] + 8*c[14] - 10*c[15] - (7*c[22])/2 + (13*c[24])/4 + c[25]/2 - 
       (27*c[26])/8)*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     ((-4*c[3])/3 + 2*c[4] - 9*c[6] - 4*c[7] + 5*c[8] - 13*c[9] + 
       (4*c[10])/3 + 10*c[15] + 6*c[22] - 3*c[24] + 4*c[25] + c[26]/2)*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     ((-109*c[1])/4 + (61*c[2])/2 - (69*c[3])/2 + (25*c[6])/4 - (13*c[7])/2 + 
       (139*c[8])/4 + (95*c[9])/4 + (193*c[10])/6 - 4*c[13] + 8*c[14] + 
       4*c[15] + 4*c[19] + (13*c[22])/2 - (39*c[24])/4 - 8*c[25] + 
       (21*c[26])/8)*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (-c[1] - 13*c[2] + (7*c[3])/2 + 6*c[5] - (31*c[6])/4 + (7*c[7])/2 - 
       (95*c[8])/4 + (45*c[9])/4 - (25*c[10])/6 - 2*c[13] + 10*c[15] + 
       4*c[19] - (23*c[22])/2 - 2*c[23] + c[24]/4 - 5*c[25] + (13*c[26])/8)*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (-9*c[1] + 6*c[2] + 2*c[4] - 9*c[6] - 4*c[7] + 5*c[8] - 13*c[9] + 
       (4*c[10])/3 + 6*c[13] + 2*c[15] + 6*c[22] - 3*c[24] + 4*c[25] + 
       c[26]/2)*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     ((7*c[1])/4 - 4*c[2] + (23*c[3])/3 + 6*c[5] - (31*c[6])/4 + (7*c[7])/2 - 
       (95*c[8])/4 + (45*c[9])/4 - (25*c[10])/6 - 4*c[13] - 2*c[14] - 
       2*c[15] + 4*c[19] - (23*c[22])/2 - 2*c[23] + c[24]/4 - 5*c[25] + 
       (13*c[26])/8)*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     (-6*c[1] - (5*c[2])/2 + (5*c[3])/6 + (25*c[6])/4 - (13*c[7])/2 + 
       (139*c[8])/4 + (95*c[9])/4 + (193*c[10])/6 + 8*c[15] + 4*c[19] + 
       (13*c[22])/2 - (39*c[24])/4 - 8*c[25] + (21*c[26])/8)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     (-9*c[1] + (76*c[2])/3 - (280*c[3])/9 - 3*c[6] - 2*c[7] + (85*c[8])/3 - 
       51*c[9] + (22*c[10])/9 - 4*c[13] - 8*c[15] - 4*c[19] + 6*c[22] + 
       15*c[24] + (20*c[25])/3 - (91*c[26])/6)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + 
     (38*c[1] - (80*c[2])/3 + (4*c[3])/3 - 3*c[6] - 2*c[7] + (85*c[8])/3 - 
       51*c[9] + (22*c[10])/9 - 4*c[12] - 4*c[13] - 4*c[15] - 4*c[19] + 
       6*c[22] + 15*c[24] + (20*c[25])/3 - (91*c[26])/6)*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + (-16*c[1] + 26*c[2] - (86*c[3])/3 + 
       4*c[6] - 18*c[7] - 24*c[9] - (20*c[10])/3 + 8*c[12] - 4*c[15] - 
       8*c[22] + 8*c[24] + 8*c[25] - 14*c[26])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     (25*c[1] - (74*c[2])/3 - (16*c[3])/9 + 12*c[5] + 25*c[6] + 4*c[7] - 
       (41*c[8])/3 + 25*c[9] + (64*c[10])/9 - 4*c[12] - 16*c[13] - 6*c[22] - 
       4*c[23] + 9*c[24] - (10*c[25])/3 - (37*c[26])/6)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + (54*c[1] + (250*c[2])/3 + 38*c[3] + 
       4*c[5] - 13*c[6] - 34*c[7] - (173*c[8])/3 - 109*c[9] - (266*c[10])/9 - 
       16*c[12] + 4*c[14] - 28*c[15] + 12*c[21] - 22*c[22] - 20*c[23] + 
       7*c[24] + (26*c[25])/3 + (53*c[26])/6)*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + (28*c[1] - 26*c[2] + (46*c[3])/3 + 
       4*c[6] - 18*c[7] - 24*c[9] - (20*c[10])/3 - 4*c[12] - 4*c[13] - 
       12*c[15] - 8*c[22] + 8*c[24] + 8*c[25] - 14*c[26])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (-17*c[1] + (136*c[2])/3 - (52*c[3])/9 + 4*c[5] - 13*c[6] - 34*c[7] - 
       (173*c[8])/3 - 109*c[9] - (266*c[10])/9 + 4*c[12] + 8*c[13] + 
       4*c[14] + 12*c[21] - 22*c[22] - 20*c[23] + 7*c[24] + (26*c[25])/3 + 
       (53*c[26])/6)*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (-2*c[1] + (22*c[2])/3 - (74*c[3])/3 + 12*c[5] + 25*c[6] + 4*c[7] - 
       (41*c[8])/3 + 25*c[9] + (64*c[10])/9 - 4*c[13] + 4*c[15] - 6*c[22] - 
       4*c[23] + 9*c[24] - (10*c[25])/3 - (37*c[26])/6)*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + (3*c[1] - 14*c[3] + 44*c[5] + 
       14*c[6] + 22*c[8] + 28*c[9] + 24*c[10] - 4*c[13] - 12*c[14] + 
       6*c[15] - 16*c[20] - 24*c[21] + 20*c[23] - 2*c[24] - 23*c[26])*
      HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (-17*c[1] + 10*c[2] - 26*c[3] + 6*c[5] - 9*c[6] - 4*c[7] + 28*c[8] + 
       2*c[9] + 22*c[10] + 4*c[12] - 2*c[13] + 34*c[15] - 2*c[16] + 6*c[22] - 
       2*c[23] - 5*c[24] - 12*c[25] - (7*c[26])/2)*HPL[{0, 0, 0, 1}, 1 - v]*
      \[Zeta][2] + (-8*c[1] - 2*c[2] + 6*c[3] + 6*c[5] - 9*c[6] - 4*c[7] + 
       28*c[8] + 2*c[9] + 22*c[10] + 6*c[13] - 2*c[14] - 2*c[16] + 6*c[22] - 
       2*c[23] - 5*c[24] - 12*c[25] - (7*c[26])/2)*HPL[{0, 0, 0, 1}, 1 - w]*
      \[Zeta][2] + (-36*c[1] + 56*c[2] + (52*c[3])/3 - 40*c[5] - 84*c[6] - 
       20*c[7] - 114*c[8] - 26*c[9] + (52*c[10])/3 - 12*c[12] + 8*c[13] - 
       28*c[15] + 16*c[20] - 32*c[21] + 12*c[22] + 52*c[23] - 20*c[24] - 
       20*c[25] + 78*c[26])*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2] + 
     (64*c[1] + 26*c[2] + (206*c[3])/3 + 16*c[5] + 8*c[6] - 22*c[7] - 
       134*c[8] - 16*c[9] - (110*c[10])/3 - 16*c[12] - 12*c[13] + 4*c[14] - 
       12*c[15] + 12*c[21] - 36*c[22] - 24*c[23] + 8*c[24] + 12*c[25])*
      HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2] + 
     (-20*c[1] + 42*c[2] + 16*c[5] + 8*c[6] - 22*c[7] - 134*c[8] - 16*c[9] - 
       (110*c[10])/3 + 12*c[12] + 4*c[13] - 4*c[14] + 12*c[21] - 36*c[22] - 
       24*c[23] + 8*c[24] + 12*c[25])*HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (4*c[1] - 36*c[2] + (104*c[3])/3 - 2*c[4] - 12*c[5] - 40*c[6] + 8*c[7] + 
       14*c[8] + 40*c[9] - (88*c[10])/3 + 2*c[13] + 18*c[15] + 2*c[16] + 
       30*c[19] - 42*c[22] + 4*c[23] + 2*c[24] + 18*c[25] + 2*c[26])*
      HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2] + 
     (-46*c[1] - 50*c[2] + (112*c[3])/3 - 24*c[5] - 78*c[6] + 58*c[7] - 
       120*c[8] + 44*c[9] - (100*c[10])/3 + 4*c[12] + 36*c[13] - 2*c[15] - 
       6*c[22] + 8*c[23] - 16*c[24] + 7*c[25] + 27*c[26])*
      HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2] + 
     (6*c[1] - 46*c[2] + 58*c[3] - 24*c[5] - 78*c[6] + 58*c[7] - 120*c[8] + 
       44*c[9] - (100*c[10])/3 + 6*c[13] - 6*c[15] - 6*c[22] + 8*c[23] - 
       16*c[24] + 7*c[25] + 27*c[26])*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2] + 
     (-9*c[1] + 5*c[2] - 23*c[3] + 6*c[5] + 8*c[6] + 10*c[7] - 8*c[8] + 
       18*c[9] + (58*c[10])/3 + 2*c[12] - 2*c[13] + 4*c[15] - 2*c[23] - 
       8*c[25] - 3*c[26])*Omega2[u, v, w]*\[Zeta][2] + 
     (-7*c[1] + 13*c[2] - (5*c[3])/3 - 6*c[5] - 10*c[7] + 46*c[8] - 12*c[9] + 
       (16*c[10])/3 + 2*c[12] + 2*c[13] + 8*c[22] + 2*c[23] - 4*c[24] - 
       2*c[25] - c[26])*Omega2[v, w, u]*\[Zeta][2] + 
     (7*c[1] - 13*c[2] + (5*c[3])/3 + 6*c[5] + 8*c[6] + 10*c[7] - 8*c[8] + 
       18*c[9] + (58*c[10])/3 - 2*c[12] - 2*c[13] - 2*c[23] - 8*c[25] - 
       3*c[26])*Omega2[w, u, v]*\[Zeta][2] + 
     (c[1] + 4*c[2] + (32*c[3])/3 - 6*c[5] - 10*c[6] - 12*c[7] + 12*c[8] - 
       18*c[9] - (58*c[10])/3 + 2*c[13] - 2*c[15] + 2*c[23] + 8*c[25] + 
       3*c[26])*HPL[{1}, 1 - u]^2*\[Zeta][2]^2 + 
     ((-72*c[1])/5 + (38*c[2])/5 - (418*c[3])/15 - (48*c[5])/5 + 20*c[6] + 
       (92*c[7])/5 + (191*c[8])/5 + (29*c[9])/5 - (56*c[10])/15 + 4*c[12] - 
       (12*c[13])/5 + (32*c[15])/5 + (72*c[22])/5 + (16*c[23])/5 + 
       (14*c[24])/5 - 20*c[25] + (31*c[26])/5)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*\[Zeta][2]^2 + (16*c[1] - 30*c[2] + (50*c[3])/3 + 
       (46*c[5])/5 + (3*c[6])/5 + 16*c[7] - (152*c[8])/5 + (118*c[9])/5 - 
       (16*c[10])/3 - 4*c[12] - 2*c[13] - 2*c[15] - (86*c[22])/5 - 2*c[23] + 
       (21*c[24])/5 + (33*c[25])/5 - (9*c[26])/10)*HPL[{1}, 1 - v]^2*
      \[Zeta][2]^2 + ((114*c[1])/5 - (146*c[2])/5 + 14*c[3] - (48*c[5])/5 + 
       20*c[6] + (92*c[7])/5 + (191*c[8])/5 + (29*c[9])/5 - (56*c[10])/15 - 
       4*c[12] - (12*c[13])/5 + (16*c[14])/5 + (8*c[15])/5 + (72*c[22])/5 + 
       (16*c[23])/5 + (14*c[24])/5 - 20*c[25] + (31*c[26])/5)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*\[Zeta][2]^2 + ((-118*c[1])/5 + 14*c[2] - 
       (14*c[3])/15 + (12*c[5])/5 - (84*c[6])/5 - (4*c[7])/5 + 18*c[8] - 
       (194*c[9])/5 + (32*c[10])/3 + 4*c[12] + 4*c[13] - (12*c[14])/5 - 
       (12*c[15])/5 + (4*c[18])/5 - (108*c[22])/5 - (4*c[23])/5 - 16*c[24] + 
       24*c[25] - (94*c[26])/5)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      \[Zeta][2]^2 + (-c[1] - (44*c[2])/5 - (152*c[3])/15 + (46*c[5])/5 + 
       (3*c[6])/5 + 16*c[7] - (152*c[8])/5 + (118*c[9])/5 - (16*c[10])/3 - 
       2*c[13] + 2*c[15] - (86*c[22])/5 - 2*c[23] + (21*c[24])/5 + 
       (33*c[25])/5 - (9*c[26])/10)*HPL[{1}, 1 - w]^2*\[Zeta][2]^2 + 
     ((-64*c[1])/5 + (18*c[2])/5 + 14*c[3] - (16*c[4])/5 - (264*c[5])/5 - 
       16*c[6] - (92*c[7])/5 + (432*c[8])/5 - 118*c[9] - (264*c[10])/5 + 
       (16*c[13])/5 + (24*c[14])/5 + 12*c[15] + (16*c[16])/5 - (4*c[17])/5 - 
       (4*c[18])/5 + (32*c[19])/5 + 4*c[20] + (84*c[22])/5 + (88*c[23])/5 - 
       (24*c[24])/5 - (52*c[25])/5 + 24*c[26] + (4*c[27])/5)*
      HPL[{0, 1}, 1 - u]*\[Zeta][2]^2 + 
     ((274*c[1])/5 - 42*c[2] + (334*c[3])/15 - (104*c[5])/5 + 18*c[6] + 
       (76*c[7])/5 + (162*c[8])/5 - (362*c[9])/5 - (556*c[10])/15 - 
       (32*c[12])/5 - (24*c[13])/5 + (16*c[14])/5 - (44*c[15])/5 - 
       (16*c[16])/5 + (4*c[18])/5 - (32*c[19])/5 - 4*c[20] - (64*c[22])/5 + 
       (8*c[23])/5 + (82*c[24])/5 - 14*c[25] - (93*c[26])/5 - (4*c[27])/5)*
      HPL[{0, 1}, 1 - v]*\[Zeta][2]^2 + ((-52*c[1])/5 - 22*c[2] - 26*c[3] - 
       (104*c[5])/5 + 18*c[6] + (76*c[7])/5 + (162*c[8])/5 - (362*c[9])/5 - 
       (556*c[10])/15 + (32*c[12])/5 - (24*c[13])/5 - (8*c[14])/5 - 
       (4*c[15])/5 - (16*c[16])/5 + (4*c[18])/5 - (32*c[19])/5 - 4*c[20] - 
       (64*c[22])/5 + (8*c[23])/5 + (82*c[24])/5 - 14*c[25] - (93*c[26])/5 - 
       (4*c[27])/5)*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2 + 
     ((844*c[1])/35 + (248*c[2])/15 - (1584*c[3])/35 + (256*c[4])/35 - 
       (296*c[5])/35 + (3984*c[6])/35 + (184*c[7])/7 + (2528*c[8])/35 - 
       (3212*c[9])/105 + (1752*c[10])/35 - (8*c[12])/35 - (752*c[13])/35 + 
       (256*c[14])/35 - (368*c[15])/35 + (64*c[17])/35 - (16*c[18])/5 - 
       (64*c[19])/7 + (296*c[20])/35 + (976*c[21])/105 + (264*c[22])/7 + 
       (32*c[23])/21 + (844*c[24])/35 - (5984*c[25])/105 + (2348*c[26])/105 + 
       (2*c[28])/35)*\[Zeta][2]^3 + ((-11*c[2])/6 + (13*c[3])/9 - c[6] + 
       (3*c[7])/2 + (103*c[8])/6 - c[9] + (5*c[10])/9 + c[15] + 2*c[19] - 
       4*c[22] + (4*c[25])/3 - (4*c[26])/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      \[Zeta][3] + (-2*c[1] - 6*c[2] - (4*c[3])/3 - c[6] - 4*c[7] + 15*c[8] - 
       10*c[9] - 2*c[13] + c[15] - 2*c[19] + 7*c[22] - 4*c[24] + 2*c[25] + 
       (5*c[26])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][3] + 
     ((2*c[1])/3 + 4*c[2] + (4*c[3])/9 + (2*c[7])/3 - (19*c[8])/3 + 
       (10*c[9])/3 + (20*c[10])/9 - c[22] - (5*c[25])/3 + (5*c[26])/3)*
      HPL[{1}, 1 - v]^3*\[Zeta][3] + ((-17*c[2])/6 + (7*c[3])/3 - c[6] + 
       (3*c[7])/2 + (103*c[8])/6 - c[9] + (5*c[10])/9 + 4*c[15] + 2*c[19] - 
       4*c[22] + (4*c[25])/3 - (4*c[26])/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      \[Zeta][3] + (-5*c[1] + 23*c[2] - 4*c[3] + 12*c[5] + 32*c[6] - 
       20*c[7] + 47*c[8] - c[9] + 18*c[10] + 4*c[12] + 4*c[13] - 4*c[14] - 
       6*c[15] - 4*c[19] - 2*c[21] + 16*c[22] - 2*c[23] - 8*c[24] + 
       30*c[25] - 6*c[26])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      \[Zeta][3] + ((-13*c[1])/2 - (77*c[2])/6 - 9*c[3] - 14*c[5] - 
       (13*c[6])/2 + (11*c[7])/2 - (359*c[8])/6 + (97*c[9])/2 + 
       (77*c[10])/9 - c[12] + 2*c[13] + 2*c[14] + 4*c[15] - c[21] + 2*c[23] + 
       (7*c[24])/2 - (47*c[25])/3 + (47*c[26])/12)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*\[Zeta][3] + (-3*c[1] + 4*c[2] - (8*c[3])/3 - c[6] - 
       4*c[7] + 15*c[8] - 10*c[9] - 2*c[15] - 2*c[19] + 7*c[22] - 4*c[24] + 
       2*c[25] + (5*c[26])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     (8*c[1] + (41*c[2])/3 + (61*c[3])/9 - 14*c[5] - (13*c[6])/2 + 
       (11*c[7])/2 - (359*c[8])/6 + (97*c[9])/2 + (77*c[10])/9 + 2*c[13] - 
       4*c[15] - c[21] + 2*c[23] + (7*c[24])/2 - (47*c[25])/3 + 
       (47*c[26])/12)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     ((-4*c[2])/3 - (4*c[3])/3 + (2*c[7])/3 - (19*c[8])/3 + (10*c[9])/3 + 
       (20*c[10])/9 - c[22] - (5*c[25])/3 + (5*c[26])/3)*HPL[{1}, 1 - w]^3*
      \[Zeta][3] + (40*c[8] - 12*c[9] - 8*c[22] + 16*c[25] - 4*c[26])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     (14*c[1] + (14*c[2])/3 - (80*c[3])/9 - 6*c[5] + 2*c[6] - 4*c[7] - 
       (22*c[8])/3 + 16*c[9] + (38*c[10])/9 - 8*c[12] + 4*c[13] + 6*c[14] + 
       4*c[15] + 6*c[20] - 4*c[21] + 6*c[22] + 10*c[23] + 8*c[24] - 
       (74*c[25])/3 + (5*c[26])/3)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      \[Zeta][3] + (2*c[1] + (56*c[2])/3 + 4*c[3] - 6*c[5] + 2*c[6] - 
       4*c[7] - (22*c[8])/3 + 16*c[9] + (38*c[10])/9 + 4*c[11] + 4*c[12] + 
       2*c[13] - 2*c[14] - 6*c[15] + 6*c[20] - 4*c[21] + 6*c[22] + 10*c[23] + 
       8*c[24] - (74*c[25])/3 + (5*c[26])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*\[Zeta][3] + (2*c[1] + 8*c[2] + (2*c[3])/3 + 
       2*c[4] + 3*c[6] - 8*c[7] + 28*c[8] - 13*c[9] + (2*c[10])/3 + 2*c[13] + 
       4*c[15] + 6*c[22] - c[24] + 14*c[25] - (11*c[26])/2)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*\[Zeta][3] + (-12*c[1] + (2*c[2])/3 - (20*c[3])/9 - 
       6*c[5] - 15*c[6] - 4*c[7] - (160*c[8])/3 - 31*c[9] - (46*c[10])/9 + 
       2*c[12] + 2*c[13] + 4*c[14] + 4*c[19] + 2*c[20] + 4*c[22] + 6*c[23] - 
       3*c[24] + (28*c[25])/3 - (23*c[26])/6)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*\[Zeta][3] + (-3*c[1] + (8*c[2])/3 - (28*c[3])/3 - 
       6*c[5] + 10*c[6] + 4*c[7] - (124*c[8])/3 + 66*c[9] + (218*c[10])/9 - 
       2*c[12] + 2*c[13] - 2*c[20] - 4*c[21] + 4*c[22] + 6*c[23] + 2*c[24] + 
       (58*c[25])/3 + (8*c[26])/3)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      \[Zeta][3] + (-7*c[1] + 18*c[2] + (2*c[3])/3 + 2*c[4] + 3*c[6] - 
       8*c[7] + 28*c[8] - 13*c[9] + (2*c[10])/3 + 2*c[12] + 4*c[13] + 
       6*c[22] - c[24] + 14*c[25] - (11*c[26])/2)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*\[Zeta][3] + (c[1] + (14*c[2])/3 - (86*c[3])/9 - 
       6*c[5] + 10*c[6] + 4*c[7] - (124*c[8])/3 + 66*c[9] + (218*c[10])/9 + 
       2*c[13] - 4*c[14] - 2*c[20] - 4*c[21] + 4*c[22] + 6*c[23] + 2*c[24] + 
       (58*c[25])/3 + (8*c[26])/3)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      \[Zeta][3] + (-5*c[1] + (80*c[2])/3 + (20*c[3])/3 - 6*c[5] - 15*c[6] - 
       4*c[7] - (160*c[8])/3 - 31*c[9] - (46*c[10])/9 + 4*c[12] + 4*c[13] + 
       8*c[15] + 4*c[19] + 2*c[20] + 4*c[22] + 6*c[23] - 3*c[24] + 
       (28*c[25])/3 - (23*c[26])/6)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][3] + (13*c[1] + (50*c[3])/3 + 16*c[5] + 18*c[6] - 12*c[7] - 
       6*c[8] + 12*c[9] - (76*c[10])/3 - 12*c[11] + 4*c[12] - 12*c[14] + 
       4*c[15] - 8*c[20] + 8*c[21] - 28*c[23] - 2*c[24] + 40*c[25] - 
       47*c[26])*HPL[{0, 0, 1}, 1 - u]*\[Zeta][3] + 
     (-7*c[1] - 8*c[2] - 16*c[3] - 2*c[4] - 6*c[5] - 7*c[6] - 4*c[7] - 
       52*c[8] + 54*c[9] + 28*c[10] + 2*c[13] + 4*c[15] - 2*c[16] - 4*c[20] - 
       4*c[21] + 2*c[22] + 6*c[23] - 3*c[24] + 8*c[25] + (3*c[26])/2)*
      HPL[{0, 0, 1}, 1 - v]*\[Zeta][3] + (-10*c[1] + 26*c[2] - 10*c[3] - 
       2*c[4] - 6*c[5] - 7*c[6] - 4*c[7] - 52*c[8] + 54*c[9] + 28*c[10] + 
       6*c[13] - 2*c[14] - 2*c[16] - 4*c[20] - 4*c[21] + 2*c[22] + 6*c[23] - 
       3*c[24] + 8*c[25] + (3*c[26])/2)*HPL[{0, 0, 1}, 1 - w]*\[Zeta][3] + 
     (-25*c[1] - 8*c[2] - 4*c[3] - 18*c[6] + 12*c[7] - 126*c[8] + 62*c[9] + 
       24*c[10] + 4*c[13] - 8*c[14] + 8*c[15] - 2*c[21] + 16*c[22] - 
       16*c[23] - 16*c[24] + 6*c[25] - 5*c[26])*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][3] + (-2*c[1] + 34*c[2] - (10*c[3])/3 - 4*c[5] + 9*c[6] - 
       32*c[7] + 16*c[8] + 59*c[9] + (86*c[10])/3 + 2*c[12] + 4*c[13] - 
       16*c[14] + 8*c[15] - 4*c[20] - 6*c[21] - 2*c[22] - 16*c[23] - 
       9*c[24] + 50*c[25] - (45*c[26])/2)*HPL[{0, 1, 1}, 1 - v]*\[Zeta][3] + 
     (-29*c[1] - 8*c[2] - (34*c[3])/3 - 4*c[5] + 9*c[6] - 32*c[7] + 16*c[8] + 
       59*c[9] + (86*c[10])/3 + 4*c[12] + 2*c[13] - 12*c[14] - 4*c[20] - 
       6*c[21] - 2*c[22] - 16*c[23] - 9*c[24] + 50*c[25] - (45*c[26])/2)*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][3] + (-22*c[1] - 36*c[2] - (20*c[3])/3 + 
       26*c[6] - 24*c[7] + 94*c[8] - 66*c[9] - (76*c[10])/3 - 16*c[13] - 
       2*c[17] - 20*c[20] - 4*c[22] - 2*c[24] + 10*c[25] - 7*c[26] - 2*c[27])*
      HPL[{1}, 1 - v]*\[Zeta][2]*\[Zeta][3] + 
     (32*c[2] + 16*c[3] + 26*c[6] - 24*c[7] + 94*c[8] - 66*c[9] - 
       (76*c[10])/3 - 16*c[11] + 12*c[12] + 4*c[13] - 12*c[14] - 4*c[15] - 
       2*c[17] - 20*c[20] - 4*c[22] - 2*c[24] + 10*c[25] - 7*c[26] - 2*c[27])*
      HPL[{1}, 1 - w]*\[Zeta][2]*\[Zeta][3] + 
     (-8*c[1] - 24*c[2] + (76*c[3])/3 - 16*c[5] - 8*c[6] + 32*c[7] + 
       34*c[8] + 34*c[9] - (116*c[10])/3 + 20*c[11] + 4*c[13] - 8*c[14] + 
       4*c[15] + 2*c[17] - 2*c[18] + 28*c[20] - 32*c[21] + 4*c[22] + 
       48*c[23] - 8*c[24] - 8*c[25] + 30*c[26] + 2*c[27])*\[Zeta][3]^2 + 
     (35*c[1] + 66*c[2] + (44*c[3])/3 - 8*c[4] - 55*c[6] + 10*c[7] - 
       172*c[8] + 109*c[9] + (58*c[10])/3 + 46*c[13] - 8*c[16] + c[17] - 
       8*c[19] + 8*c[20] + 2*c[22] + c[24] - 3*c[25] + (3*c[26])/2 + c[27])*
      HPL[{1}, 1 - v]*\[Zeta][5] + (-66*c[2] + 12*c[3] - 8*c[4] - 55*c[6] + 
       10*c[7] - 172*c[8] + 109*c[9] + (58*c[10])/3 + 16*c[11] - 2*c[12] + 
       2*c[13] + 2*c[14] - 8*c[16] + c[17] - 8*c[19] + 8*c[20] + 2*c[22] + 
       c[24] - 3*c[25] + (3*c[26])/2 + c[27])*HPL[{1}, 1 - w]*\[Zeta][5]
 
 
CuvwCoproductEntries[yv] = B1[v, u, w]*c[1] - 2*B11[w, u, v]*c[1] + 
     B2[w, v, u]*c[1] + B1[w, v, u]*c[3] + B1[u, w, v]*c[6] + 
     B11[v, w, u]*(-c[6] - 2*c[8]) + B10[w, u, v]*((-2*c[3])/3 + 2*c[8] - 
       5*c[9]) + B5[v, w, u]*(c[8] - c[9]) + B4[u, v, w]*c[9] + 
     B5[w, u, v]*(c[2] + c[3] - c[7] - c[9] - (4*c[10])/3) + 
     B3[w, u, v]*((2*c[3])/3 - (2*c[10])/3) + 
     B5[u, v, w]*((2*c[3])/3 + 2*c[6] - c[8]/2 + 2*c[9] - (2*c[10])/3) + 
     B2[u, w, v]*(c[3]/3 + c[5] - c[10]/3) + (2*B2[u, v, w]*c[10])/3 + 
     B11[u, v, w]*((-2*c[3])/3 - 3*c[5] + c[10]) + 
     B10[v, w, u]*(2*c[2] - c[3] - c[5] - c[9] + (5*c[10])/3) + 
     B7[u, v, w]*(c[8] + (2*c[10])/3 - c[19]) + 
     B5[w, v, u]*((-2*c[3])/3 + c[7] + c[8] + c[10] + c[20]) + 
     B9[u, v, w]*(-c[6] - c[8]/2 - (17*c[9])/2 - 2*c[22]) + 
     B6[v, w, u]*(c[8] - c[9] + c[22]) + B8[u, v, w]*
      (-c[3]/3 + c[6] + 5*c[8] - 3*c[9] + c[10]/3 + c[15] - c[19] + c[22]) + 
     B6[w, v, u]*(c[3]/3 + c[7] + 2*c[15] + c[20] + c[22]) + 
     B10[u, v, w]*(4*c[1] - 4*c[9] + 2*c[24] - 2*c[25] - c[26]) + 
     B5[v, u, w]*(c[3]/3 + c[5] - c[7] - c[9] - (5*c[10])/3 + c[12] + c[25] - 
       c[26]) + B7[w, u, v]*((-2*c[3])/3 + c[5] - c[9]/2 - c[10]/3 + c[11] + 
       c[25]/2 - c[26]/2) + B8[v, w, u]*((3*c[1])/2 - 2*c[2] - c[3]/3 + 
       c[6]/2 + c[8]/2 - c[9] - c[10]/3 + c[24]/2 - c[25]/2 - c[26]/4) + 
     B6[w, u, v]*(c[2] + c[6]/2 - c[7] + c[8]/2 - (3*c[9])/2 - c[10]/3 - 
       c[24]/2 + c[25] - c[26]/4) + B6[v, u, w]*((-3*c[1])/2 + c[2] - 
       (2*c[3])/3 + c[6]/2 - c[7] + c[8]/2 - (3*c[9])/2 - c[10]/3 + c[12] + 
       c[14] + c[21] - c[23] - c[24]/2 + c[25] - c[26]/4) + 
     B6[u, w, v]*((3*c[1])/2 + (3*c[6])/2 + c[8]/2 + (3*c[9])/2 - c[13] + 
       c[24]/2 - c[25] + c[26]/4) + B7[v, w, u]*(-c[2] - c[9]/2 - c[25]/2 + 
       c[26]/2) + B6[u, v, w]*((-3*c[1])/2 + (3*c[6])/2 - c[8] + (7*c[9])/2 - 
       c[21] + c[23] - c[24]/2 + (3*c[26])/4) + 
     B8[w, u, v]*(c[2] - c[3] + c[6]/2 + c[8]/2 - c[9] - c[10]/3 + c[11] + 
       c[14] + c[23] + c[24]/2 - (3*c[25])/2 + (3*c[26])/4) + 
     B5[u, w, v]*(c[8] - (2*c[10])/3 - c[13] - c[25] + c[26]) + 
     B9[w, u, v]*(3*c[1] - (2*c[3])/3 - c[6] + c[8] + 3*c[9] + (2*c[10])/3 - 
       2*c[12] + 2*c[14] + c[18] + c[24] + (3*c[26])/2) + 
     ((5*c[2])/24 + (7*c[3])/72 + c[7]/8 - (7*c[8])/24 + (7*c[9])/8 + 
       (5*c[10])/72 - c[22]/8 + c[25]/24 - c[26]/24)*HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - v]^2 + (c[1]/16 + (11*c[2])/12 - (43*c[3])/72 - 
       (3*c[5])/4 + (3*c[6])/16 - (3*c[7])/4 + (35*c[8])/48 - (13*c[9])/16 + 
       (25*c[10])/72 + c[14]/4 + c[15]/4 + c[22]/2 + c[23]/4 + (7*c[24])/16 - 
       (7*c[25])/24 + c[26]/96)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3 - 
     (c[4]*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w])/120 + 
     (c[1]/8 - c[3]/12 + c[5]/8 - c[6]/8 + c[10]/24)*HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + ((5*c[1])/16 - (5*c[2])/24 - 
       (77*c[3])/72 + (11*c[5])/24 - c[7]/6 + c[8]/3 - (25*c[9])/24 - 
       c[10]/24 + c[12]/12 + c[14]/12 - c[15]/6 - c[21]/12 + c[22]/3 + 
       c[24]/6 + c[25]/8 - (5*c[26])/12)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w] + ((5*c[1])/48 + (2*c[2])/3 - (31*c[3])/36 - c[5] - 
       (7*c[6])/48 - c[7]/3 - c[8]/16 - (13*c[9])/48 + (55*c[10])/72 + 
       c[12]/6 + c[14]/12 + c[15]/6 + c[21]/12 - c[22]/4 - (5*c[23])/12 + 
       (17*c[24])/48 + (2*c[25])/3 - (29*c[26])/32)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w] + 
     (c[3]/24 + c[5]/8 - c[6]/8 + c[10]/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
      HPL[{1}, 1 - w] + ((3*c[1])/8 + (3*c[2])/8 - c[3]/8 + c[6]/8 - 
       (3*c[7])/8 + c[8]/4 - c[9] - c[10]/24 + (3*c[22])/8 + c[24]/8 - 
       c[25]/8 - c[26]/16)*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^2 + 
     ((13*c[1])/24 - (11*c[2])/12 - c[3]/9 - c[5]/4 - c[6]/12 + (5*c[7])/6 - 
       (7*c[8])/24 - (5*c[9])/12 + (3*c[10])/4 + c[13]/6 - c[14]/12 - 
       c[15]/12 + c[21]/6 - (5*c[22])/6 - c[23]/4 - c[24]/12 - c[25]/2 + 
       c[26]/6)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2 + 
     ((-5*c[1])/6 + (7*c[2])/6 - (23*c[3])/18 - (4*c[5])/3 - c[7]/6 + 
       (11*c[8])/6 - (13*c[9])/8 - (17*c[10])/36 - c[12]/6 + (2*c[14])/3 + 
       c[15]/2 + c[22]/2 + c[23] + (7*c[24])/12 - (3*c[25])/2 + 
       (13*c[26])/12)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2 + 
     ((7*c[1])/48 - c[2]/3 + (7*c[3])/24 + (11*c[5])/8 - (7*c[6])/16 + 
       c[7]/2 - (19*c[8])/48 - (13*c[9])/48 - (4*c[10])/9 - c[14]/4 - 
       c[15]/12 - c[21]/6 + c[23]/12 - (3*c[24])/16 - (7*c[25])/24 + 
       (19*c[26])/96)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2 + 
     ((-3*c[1])/8 + c[2] + c[3]/12 + (13*c[6])/16 - (5*c[7])/8 - 
       (5*c[8])/16 - c[9]/16 - c[10]/3 + c[12]/4 - c[14]/4 + (3*c[22])/8 - 
       c[23]/2 - (7*c[24])/16 + (3*c[25])/4 - (3*c[26])/32)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]^3 + ((5*c[1])/6 - (2*c[2])/3 - (11*c[3])/18 + c[5]/2 - 
       (7*c[6])/12 + c[7]/2 - (19*c[8])/24 + (5*c[9])/8 - c[10]/3 - c[12]/6 + 
       c[14]/6 - c[15]/6 - c[21]/4 - (5*c[22])/12 + (3*c[23])/4 + 
       (11*c[24])/24 - (7*c[25])/12 + (11*c[26])/48)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3 + 
     ((31*c[1])/48 - c[2]/8 + c[3]/72 - (19*c[5])/24 + c[6]/48 + 
       (5*c[7])/24 + (29*c[8])/16 - (77*c[9])/48 + (7*c[10])/24 - c[12]/6 + 
       (5*c[14])/12 + c[15]/3 + c[21]/4 + c[22]/8 + (5*c[23])/12 + 
       (11*c[24])/16 - (3*c[25])/2 + (53*c[26])/96)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3 + 
     ((-11*c[1])/48 + c[2]/6 - c[3]/24 + (5*c[5])/24 + (5*c[6])/16 - 
       c[7]/12 + (13*c[8])/16 - (13*c[9])/16 - c[10]/6 - c[12]/12 + 
       c[14]/12 + c[22]/4 - c[23]/4 - (13*c[24])/48 - c[25]/3 + (9*c[26])/32)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3 + 
     (c[1]/8 + c[2]/8 - (7*c[3])/24 - c[5]/8 + c[6]/16 + c[8]/16 + c[9]/16 + 
       (5*c[10])/12 - c[23]/4 + c[24]/16 - (7*c[26])/32)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^4 + (-c[3]/18 + c[5]/8 + c[10]/72)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4 + 
     ((-5*c[1])/24 + (5*c[2])/24 - c[3]/8 + c[5]/24 + (3*c[6])/16 - 
       (5*c[7])/12 + (3*c[8])/16 - (13*c[9])/16 + c[12]/3 - c[14]/3 - 
       c[23]/2 - (11*c[24])/48 + (5*c[25])/6 - (17*c[26])/32)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4 + 
     ((-3*c[1])/4 - (7*c[2])/6 + c[3]/18 - c[4]/24 - c[6]/4 + c[7]/2 + 
       c[8]/12 + c[9]/4 - c[10]/18 - c[22]/2 - c[24]/4 + c[25]/6 + 
       (5*c[26])/24)*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - u] + 
     (-c[2] + c[3]/3 + c[7] - c[8] + 2*c[9] - (2*c[10])/9 - c[22])*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u] + 
     ((-9*c[1])/8 + (157*c[2])/36 - (223*c[3])/108 - (15*c[5])/4 + 
       (11*c[6])/8 - (29*c[7])/12 + (203*c[8])/72 + c[9]/2 + 
       (277*c[10])/108 - c[12]/4 + (3*c[14])/2 + (5*c[15])/4 + (7*c[22])/6 + 
       c[23] + (13*c[24])/8 - (25*c[25])/36 + (19*c[26])/144)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     ((19*c[1])/24 + (11*c[2])/6 - (49*c[3])/36 - c[5] + c[6]/24 - 
       (3*c[7])/2 + (35*c[8])/24 - (13*c[9])/8 + (19*c[10])/36 + c[14]/2 + 
       c[15]/2 + c[22] + c[23]/2 + (7*c[24])/8 - (7*c[25])/12 + c[26]/48)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u] + 
     (c[1]/6 + c[2] - (2*c[3])/9 - (7*c[5])/6 + 2*c[6] + c[7]/6 + 
       (49*c[8])/6 - (17*c[9])/6 - (2*c[12])/3 + c[13]/6 + (2*c[14])/3 - 
       (5*c[15])/6 - c[17]/12 - (5*c[19])/6 + c[22] + (3*c[23])/2 + 
       (2*c[24])/3 - (17*c[25])/6 + (11*c[26])/6)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((-3*c[1])/4 - (11*c[2])/6 + (155*c[3])/18 + (19*c[5])/2 - (55*c[6])/4 + 
       2*c[7] - (1367*c[8])/24 + (113*c[9])/8 + (5*c[10])/9 + c[13]/2 - 
       2*c[14] - (3*c[15])/2 - (11*c[22])/2 - 2*c[23] - (3*c[24])/2 + 
       (10*c[25])/3 - (17*c[26])/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((259*c[1])/72 - (263*c[2])/36 - (145*c[3])/36 + (13*c[5])/18 + 
       (3*c[6])/2 + (5*c[7])/18 + (175*c[8])/24 - (25*c[9])/4 - 
       (23*c[10])/18 + (11*c[12])/18 - c[14]/9 - (3*c[15])/2 + (3*c[21])/2 - 
       (3*c[22])/2 - (17*c[23])/6 - (35*c[24])/36 + (95*c[25])/18 - 3*c[26])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((7*c[1])/24 + (5*c[2])/6 - (3*c[3])/4 - (7*c[5])/12 - c[6]/8 - 
       (2*c[7])/3 - (9*c[8])/8 + c[9]/8 + (17*c[10])/18 + c[12]/3 - c[14]/3 - 
       c[22]/2 - c[23] + (5*c[24])/24 + (7*c[25])/3 - (33*c[26])/16)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((-23*c[1])/8 - (41*c[2])/12 + (143*c[3])/36 + c[5]/4 - (293*c[6])/24 + 
       (7*c[7])/12 - (1031*c[8])/24 + (25*c[9])/12 - (53*c[10])/36 + 
       c[12]/4 - c[14]/2 - c[15]/4 - (5*c[22])/6 - (29*c[24])/24 - 
       (7*c[25])/12 + (25*c[26])/48)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + ((61*c[1])/12 - (43*c[2])/6 + (301*c[3])/36 + 
       (223*c[5])/12 - c[6]/2 + (31*c[7])/6 - (95*c[8])/24 + (29*c[9])/2 - 
       (31*c[10])/36 - (11*c[12])/6 + (5*c[14])/6 - 5*c[15] - c[18]/4 + 
       c[21] - 4*c[22] - (5*c[23])/2 - (127*c[24])/12 - (29*c[25])/2 + 
       (197*c[26])/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + ((-19*c[1])/24 - (5*c[2])/6 + (4*c[3])/3 + 
       (7*c[5])/12 + (9*c[6])/8 + (2*c[7])/3 + (23*c[8])/8 - (13*c[9])/4 - 
       (23*c[10])/12 - c[12]/12 - c[14]/6 - c[15]/4 + (5*c[22])/4 + c[23] - 
       (11*c[24])/24 - (31*c[25])/12 + (37*c[26])/16)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     ((-2*c[1])/3 + (19*c[2])/6 - (4*c[3])/3 - c[5]/6 + (53*c[6])/24 - 
       (19*c[7])/12 - (5*c[8])/24 - (127*c[9])/24 + (19*c[10])/18 + c[12]/2 - 
       c[14]/2 + (7*c[22])/12 - (11*c[23])/6 - (7*c[24])/24 + (7*c[25])/3 - 
       (71*c[26])/48)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     ((2*c[1])/3 - (4*c[2])/3 + (4*c[3])/9 + (2*c[5])/3 - (5*c[6])/4 + 
       (2*c[7])/3 - (9*c[8])/4 + (5*c[9])/2 - (11*c[10])/18 - c[12]/3 + 
       c[14]/3 - c[22]/2 + c[23] + (5*c[24])/12 - c[25]/3 + (5*c[26])/8)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     (c[1]/4 + c[2]/4 - (4*c[3])/9 - c[5]/4 + c[6]/8 + c[8]/8 + c[9]/8 + 
       (25*c[10])/36 - c[23]/2 + c[24]/8 - (7*c[26])/16)*HPL[{1}, 1 - w]^4*
      HPL[{0, 1}, 1 - u] + ((25*c[2])/6 - (47*c[3])/36 - (3*c[5])/2 + 
       (3*c[6])/8 - (7*c[7])/2 + (617*c[8])/48 - (49*c[9])/16 + 
       (11*c[10])/36 + (3*c[13])/4 + c[14]/2 + c[15]/4 - c[17]/8 - c[19]/4 + 
       c[22] + c[23]/2 + c[24]/4 + (11*c[25])/6 + (13*c[26])/24)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]^2 + 
     (-c[1] - c[2]/2 - (7*c[3])/2 - c[5] - (15*c[6])/2 + c[7]/2 - 
       (161*c[8])/8 + (49*c[9])/8 + (37*c[10])/6 - c[12] - c[13]/2 + 
       2*c[14] + c[15] + c[20]/2 - (5*c[22])/2 + (7*c[24])/4 - (33*c[25])/4 + 
       (3*c[26])/8)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     ((-5*c[1])/8 + c[2] - (17*c[3])/12 - (3*c[6])/8 + (5*c[8])/8 + 
       (5*c[9])/4 + (13*c[10])/12 - c[12]/2 + c[14] + c[15]/2 - c[22]/2 + 
       c[24]/8 - (5*c[25])/8 + (7*c[26])/16)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]^2 + ((-119*c[1])/12 - (9*c[2])/2 + (181*c[3])/18 + 
       (173*c[5])/6 - (71*c[6])/4 - (23*c[7])/6 - (1013*c[8])/12 + 
       (59*c[9])/2 - (20*c[10])/9 + (13*c[12])/6 - (5*c[14])/3 - 
       (13*c[15])/2 + c[18] - (3*c[20])/2 + (11*c[21])/2 - (5*c[22])/2 - 
       19*c[23] - (59*c[24])/6 + (277*c[25])/12 - (301*c[26])/24 - c[28]/24)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     ((-5*c[1])/4 + 2*c[2] + (19*c[3])/3 + (23*c[5])/2 + (9*c[6])/4 + 
       c[7]/2 - (13*c[8])/4 - 5*c[9] - (19*c[10])/6 + (5*c[12])/2 - 6*c[14] - 
       3*c[15] + c[21]/2 + c[22]/2 - 4*c[23] - (21*c[24])/4 + (15*c[25])/4 + 
       (7*c[26])/8)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     ((13*c[1])/24 - (83*c[2])/12 + (5*c[3])/4 + (11*c[5])/12 - c[6]/2 + 
       (11*c[7])/6 - (7*c[8])/4 + (15*c[9])/8 - (29*c[10])/12 + c[11]/4 - 
       (29*c[12])/12 + (8*c[14])/3 + c[18]/8 - c[21]/4 - c[22]/2 + 
       (11*c[23])/4 + (13*c[24])/12 - (37*c[25])/24 + (17*c[26])/8)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2 + 
     ((-23*c[1])/6 - (16*c[2])/3 + (17*c[3])/3 + (27*c[5])/2 - (55*c[6])/6 + 
       c[7]/6 - (493*c[8])/12 + (169*c[9])/12 - (13*c[10])/18 - (5*c[12])/6 - 
       (2*c[13])/3 + c[14]/6 - (7*c[15])/2 + c[18]/2 - c[20]/6 + 
       (17*c[21])/6 - (7*c[22])/6 - (28*c[23])/3 - (59*c[24])/12 + 
       (55*c[25])/4 - (67*c[26])/12 - c[28]/72)*HPL[{0, 1}, 1 - u]^3 + 
     ((5*c[2])/12 + (7*c[3])/36 - c[4]/24 + c[7]/4 - (7*c[8])/12 + 
       (7*c[9])/4 + (5*c[10])/36 - c[22]/4 + c[25]/12 - c[26]/12)*
      HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - v] + 
     (c[1]/8 + (37*c[2])/18 - (89*c[3])/108 - (3*c[5])/2 + (3*c[6])/8 - 
       (5*c[7])/6 + (25*c[8])/72 + (11*c[9])/8 + (107*c[10])/108 + c[14]/2 + 
       c[15]/2 + c[22]/3 + c[23]/2 + (7*c[24])/8 - (17*c[25])/36 - 
       (13*c[26])/144)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     ((-17*c[1])/8 + (7*c[2])/2 - (5*c[3])/2 - (11*c[5])/4 - (3*c[6])/8 - 
       (3*c[7])/2 + c[8]/2 - (5*c[9])/4 + 2*c[10] - c[12]/4 + (3*c[14])/2 + 
       (5*c[15])/4 + (5*c[22])/4 + (3*c[23])/2 + (9*c[24])/8 + (3*c[25])/8 - 
       (7*c[26])/16)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v] + 
     ((-3*c[1])/4 - (7*c[2])/6 - (2*c[3])/9 - (5*c[5])/6 - c[6]/4 + c[7]/2 + 
       (7*c[8])/12 + c[9]/4 - c[10]/9 - c[22]/2 - c[24]/4 + (2*c[25])/3 - 
       (7*c[26])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v] + 
     ((-23*c[1])/24 + (5*c[2])/12 - (10*c[3])/9 + c[5]/6 + (9*c[6])/4 + 
       c[7]/2 + (35*c[8])/12 - (13*c[9])/6 + (7*c[10])/9 + c[12]/6 + 
       c[13]/6 - c[14]/6 - c[15]/6 - c[17]/12 + c[19]/2 + c[22]/6 - c[23]/2 - 
       c[24]/4 + (13*c[25])/12 - (7*c[26])/8)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     ((-955*c[1])/72 + c[2]/18 + 4*c[3] + (91*c[5])/9 - (89*c[6])/8 - 
       (28*c[7])/9 - (157*c[8])/12 - (19*c[9])/4 - (79*c[10])/36 + 
       (5*c[12])/9 + c[13]/2 - (14*c[14])/9 + c[15] - (3*c[21])/2 - 
       (9*c[22])/2 + c[23]/3 - (179*c[24])/72 + (253*c[25])/18 - 
       (197*c[26])/48)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + ((15*c[1])/4 - (9*c[2])/2 + (49*c[3])/12 + 
       (17*c[5])/4 - (3*c[6])/4 + (7*c[7])/2 - 8*c[8] + (27*c[9])/8 - 
       (5*c[10])/12 - 2*c[14] - 2*c[15] - 3*c[22] - 2*c[23] - (5*c[24])/4 + 
       2*c[25] - (5*c[26])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (c[1]/6 - (7*c[2])/6 + (5*c[3])/6 + c[5]/6 - c[6]/2 + (5*c[7])/6 - 
       c[8]/2 + (3*c[9])/2 - (11*c[10])/18 - c[12]/6 + c[14]/6 + 
       (3*c[23])/2 + c[24]/3 - (5*c[25])/3 + (3*c[26])/2)*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     ((-157*c[1])/24 - (43*c[2])/6 + (11*c[3])/18 + c[5]/12 - (95*c[6])/8 - 
       (5*c[7])/6 - (337*c[8])/12 - (3*c[9])/4 + (20*c[10])/9 - c[12]/12 - 
       c[14]/6 - c[15]/4 - (19*c[22])/4 + c[23]/2 + c[24]/24 + (57*c[25])/8 - 
       (115*c[26])/48)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v] + ((167*c[1])/24 - (35*c[2])/18 + (1717*c[3])/108 + 
       (259*c[5])/12 - (143*c[6])/24 + c[7]/6 - (959*c[8])/72 + 
       (205*c[9])/12 - (581*c[10])/54 - (11*c[12])/6 - (7*c[14])/6 - 
       3*c[15] - c[18]/4 - c[21] - 3*c[22] - c[23]/2 - (61*c[24])/24 - 
       (683*c[25])/36 + (1919*c[26])/144)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((-3*c[1])/8 - c[2]/2 + (3*c[3])/2 - (5*c[5])/4 + (19*c[6])/8 - c[7]/2 + 
       5*c[8] - (9*c[9])/4 - (23*c[10])/12 + c[12]/4 - c[14]/2 - c[15]/4 + 
       (3*c[22])/4 - c[23]/2 - (9*c[24])/8 - (19*c[25])/8 + (39*c[26])/16)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((59*c[1])/24 + c[2]/12 + (4*c[3])/3 - c[5]/6 - (5*c[6])/8 + 
       (25*c[7])/12 + (23*c[8])/24 - (67*c[9])/24 - (11*c[10])/9 - c[12]/3 + 
       c[14]/3 - (5*c[22])/12 + (5*c[23])/6 + (13*c[24])/24 - (19*c[25])/6 + 
       (37*c[26])/48)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     ((-97*c[1])/72 + (5*c[2])/9 + c[3]/12 + (31*c[5])/36 + (5*c[6])/8 - 
       (23*c[7])/18 + (47*c[8])/24 - (29*c[9])/8 - (4*c[10])/9 + 
       (13*c[12])/18 - (13*c[14])/18 + c[22]/2 - (11*c[23])/6 - 
       (95*c[24])/72 + (14*c[25])/9 - (29*c[26])/48)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     ((-5*c[1])/12 + (5*c[2])/12 - c[3]/3 + c[5]/12 + (3*c[6])/8 - 
       (5*c[7])/6 + (3*c[8])/8 - (13*c[9])/8 + c[10]/12 + (2*c[12])/3 - 
       (2*c[14])/3 - c[23] - (11*c[24])/24 + (5*c[25])/3 - (17*c[26])/16)*
      HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v] + 
     ((-19*c[1])/4 + (145*c[2])/18 - (157*c[3])/54 - 3*c[5] - (17*c[7])/6 + 
       (997*c[8])/72 + (59*c[9])/8 + (121*c[10])/54 - c[12]/2 + c[13]/2 + 
       2*c[14] - c[17]/4 + c[19]/2 - (11*c[22])/3 + c[23] - (3*c[24])/4 + 
       (41*c[25])/18 + (151*c[26])/72)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((-21*c[1])/4 + (61*c[2])/9 - (335*c[3])/54 - 
       3*c[5] - (35*c[6])/4 - (5*c[7])/3 - (367*c[8])/18 - (19*c[9])/2 + 
       (677*c[10])/54 - 2*c[12] + 5*c[14] + 3*c[15] - (7*c[22])/3 + 3*c[23] + 
       (11*c[24])/4 + (25*c[25])/18 - (253*c[26])/72)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (c[1]/2 + c[2] - (4*c[3])/3 - c[6]/2 + c[7] - (17*c[8])/4 - 4*c[9] + 
       (5*c[10])/3 - c[12]/2 + c[14] + c[15]/2 + c[22]/2 + c[23] + c[24]/2 - 
       c[25]/4 - c[26])*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((-257*c[1])/36 - (383*c[2])/18 + (205*c[3])/9 + 
       (514*c[5])/9 - (103*c[6])/2 + (26*c[7])/9 - (497*c[8])/3 + 
       (163*c[9])/2 + (97*c[10])/9 - (40*c[12])/9 - 2*c[13] + (31*c[14])/9 - 
       9*c[15] + 2*c[18] - c[20] + 11*c[21] - 21*c[22] - (86*c[23])/3 - 
       (118*c[24])/9 + (188*c[25])/9 - (3*c[26])/4 - c[28]/12)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((155*c[1])/36 + (31*c[2])/9 + (335*c[3])/18 + (361*c[5])/18 + 
       (17*c[6])/4 - (50*c[7])/9 + (15*c[8])/4 - (55*c[9])/4 - (22*c[10])/3 + 
       (16*c[12])/9 - (97*c[14])/9 - 7*c[15] + c[18]/2 - c[21] - c[22] - 
       (34*c[23])/3 - (299*c[24])/36 + (10*c[25])/9 + (119*c[26])/24)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((-7*c[1])/12 - (31*c[2])/6 + (29*c[3])/6 + (13*c[5])/6 - (5*c[6])/2 + 
       (10*c[7])/3 - (53*c[8])/4 + c[9]/4 - (53*c[10])/6 + c[11]/2 - 
       c[12]/6 + (2*c[14])/3 + c[18]/4 + c[21]/2 + c[22] + (9*c[23])/2 + 
       (11*c[24])/6 - (67*c[25])/6 + (9*c[26])/2)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((13*c[1])/2 - (33*c[2])/2 + (79*c[3])/6 + (85*c[5])/2 - (89*c[6])/4 - 
       c[7]/2 - (159*c[8])/2 + (219*c[9])/4 + (16*c[10])/3 - (7*c[12])/2 + 
       c[13] + 2*c[14] - (7*c[15])/2 + c[18] - c[20] + (17*c[21])/2 - 
       8*c[22] - 25*c[23] - (27*c[24])/2 + 28*c[25] - (39*c[26])/8 - 
       c[28]/24)*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v] + 
     ((-5*c[1])/2 + (14*c[2])/3 - (83*c[3])/36 - (3*c[5])/2 - c[6]/8 - c[7] + 
       (149*c[8])/48 - (37*c[9])/16 + (83*c[10])/36 - c[12]/2 + (3*c[13])/4 + 
       (3*c[14])/2 + (3*c[15])/4 - c[17]/8 - c[19]/4 + (3*c[23])/2 - 
       c[24]/4 + (7*c[25])/12 - (5*c[26])/24)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]^2 + (-c[1] + (23*c[2])/3 - (19*c[3])/18 + 
       (3*c[5])/2 - (15*c[6])/4 - (5*c[7])/2 - (121*c[8])/12 - (27*c[9])/4 + 
       (65*c[10])/9 - (3*c[12])/2 + c[13]/2 + 2*c[14] + (3*c[15])/2 + 
       3*c[22] + 2*c[23] + (7*c[24])/4 + (91*c[25])/12 - (107*c[26])/24)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2 + 
     ((-3*c[1])/8 + c[3]/12 - c[6]/8 - c[8]/8 + (3*c[9])/4 - (13*c[10])/12 - 
       c[24]/8 + c[25]/8 + c[26]/16)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]^2 + 
     ((-41*c[1])/12 - (55*c[2])/6 + (185*c[3])/18 + (61*c[5])/3 - 
       (51*c[6])/4 + (5*c[7])/3 - (214*c[8])/3 + (83*c[9])/2 + 
       (107*c[10])/9 - (11*c[12])/6 - c[13]/2 + (7*c[14])/3 + c[18]/4 - 
       c[20] + (9*c[21])/2 - 7*c[22] - (15*c[23])/2 - (29*c[24])/6 + 
       (21*c[25])/2 - (41*c[26])/24 - c[28]/24)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     ((19*c[1])/12 - (11*c[2])/6 + (22*c[3])/3 + (10*c[5])/3 + (15*c[6])/4 - 
       (10*c[7])/3 + (21*c[8])/4 + c[9]/2 - (11*c[10])/3 + (5*c[12])/3 - 
       c[13]/2 - (14*c[14])/3 - (7*c[15])/2 - c[18]/4 + c[21]/2 - c[22] - 
       (15*c[23])/2 - (43*c[24])/12 - (73*c[25])/12 + (25*c[26])/8)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     ((-19*c[1])/24 + (29*c[2])/12 + c[3]/12 + (11*c[5])/6 + c[6] - 
       (5*c[7])/6 + 7*c[8] - (21*c[9])/8 - (31*c[10])/6 + c[11]/4 + 
       (11*c[12])/12 - (2*c[14])/3 + c[18]/8 - c[21]/4 - c[22]/2 + 
       (3*c[23])/4 + (5*c[24])/12 + (61*c[25])/24 + (11*c[26])/8)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2 + 
     (-4*c[1] - (23*c[2])/2 + (33*c[3])/2 + (85*c[5])/2 - (83*c[6])/4 + 
       8*c[7] - (511*c[8])/8 + (489*c[9])/8 + 12*c[10] - (11*c[12])/2 - 
       c[13]/2 + 2*c[14] - c[15]/2 + c[18]/2 - c[20]/2 + (5*c[21])/2 - 
       7*c[22] - 12*c[23] - (47*c[24])/4 + 20*c[25] + (11*c[26])/4 - 
       c[28]/24)*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + 
     ((19*c[1])/12 + (37*c[3])/6 + (32*c[5])/3 - (23*c[6])/6 - c[7]/6 - 
       (401*c[8])/24 + (233*c[9])/8 + (31*c[10])/3 - (4*c[12])/3 - c[13]/3 + 
       c[14]/2 + c[15]/6 - c[20]/3 + (3*c[21])/2 - (9*c[22])/2 - 
       (13*c[23])/3 - (13*c[24])/3 + (15*c[25])/4 + (17*c[26])/8 - c[28]/72)*
      HPL[{0, 1}, 1 - v]^3 + ((3*c[1])/4 + (3*c[2])/4 - c[3]/4 - c[4]/24 + 
       c[6]/4 - (3*c[7])/4 + c[8]/2 - 2*c[9] - c[10]/12 + (3*c[22])/4 + 
       c[24]/4 - c[25]/4 - c[26]/8)*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - w] + 
     (c[1]/4 - (17*c[2])/6 + (23*c[3])/18 + (3*c[5])/2 - c[6]/4 + 2*c[7] - 
       (11*c[8])/6 + (7*c[9])/4 - (5*c[10])/9 - c[14]/2 - c[15]/2 - 
       (3*c[22])/2 - c[23]/2 - (3*c[24])/4 + c[25]/3 + c[26]/24)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-23*c[1])/8 + (25*c[2])/6 - (125*c[3])/36 - 3*c[5] + (3*c[6])/4 - 
       2*c[7] + (137*c[8])/48 - (3*c[9])/4 + (71*c[10])/36 + c[12]/4 + 
       c[14] + (5*c[15])/4 + (5*c[22])/4 + c[23] + (7*c[24])/8 + 
       (23*c[25])/24 - (13*c[26])/12)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w] + ((5*c[1])/8 - (2*c[2])/3 + (41*c[3])/36 + 
       (3*c[5])/2 - c[6]/8 + c[7] - (49*c[8])/24 + (11*c[9])/8 - 
       (11*c[10])/36 - c[14]/2 - c[15]/2 - c[22]/2 - c[23]/2 - (5*c[24])/8 - 
       c[25]/12 + (13*c[26])/48)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - w] + (c[1]/4 + (25*c[2])/6 - (8*c[3])/9 + 
       (83*c[6])/24 - (7*c[7])/4 - (45*c[8])/8 - (33*c[9])/8 - 
       (11*c[10])/18 + c[12]/2 + c[13]/6 - c[14]/2 - c[15]/6 - c[17]/12 - 
       c[19]/2 + (11*c[22])/4 - c[23] - (17*c[24])/24 + c[25] - c[26]/48)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((-20*c[1])/3 + (11*c[2])/6 + (19*c[3])/9 - (2*c[5])/3 - (53*c[6])/4 - 
       (4*c[7])/3 - (515*c[8])/24 + (91*c[9])/8 + (127*c[10])/18 + c[12]/6 + 
       c[13]/2 - c[14]/6 - c[15] - c[18]/4 - (13*c[22])/2 + (5*c[23])/2 - 
       c[24]/12 + 7*c[25] - (59*c[26])/24)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((197*c[1])/24 - (281*c[2])/36 + (62*c[3])/27 - (5*c[5])/3 + 
       (11*c[6])/24 + (23*c[7])/12 - (19*c[8])/72 + (8*c[9])/3 - 
       (50*c[10])/27 + c[12]/6 - c[14]/6 - (5*c[15])/2 - c[18]/4 - 
       (9*c[22])/4 + (5*c[23])/2 + (37*c[24])/8 - (247*c[25])/36 - 
       (149*c[26])/144)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + ((-11*c[1])/24 + c[2]/3 - (7*c[3])/36 + 
       (5*c[5])/12 + (5*c[6])/8 - c[7]/6 + (13*c[8])/8 - (13*c[9])/8 + 
       (5*c[10])/9 - c[12]/6 + c[14]/6 + c[22]/2 - c[23]/2 - (13*c[24])/24 - 
       (2*c[25])/3 + (9*c[26])/16)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + ((-53*c[1])/8 - (17*c[2])/4 + (31*c[3])/18 - 
       c[5]/4 - (83*c[6])/24 - (25*c[7])/3 - (397*c[8])/48 + (7*c[9])/8 + 
       (23*c[10])/12 + (5*c[12])/12 - (2*c[14])/3 - c[15]/4 - (11*c[22])/4 - 
       (11*c[23])/6 + (13*c[24])/12 + (223*c[25])/24 - (227*c[26])/48)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     ((13*c[1])/12 - (7*c[2])/3 + (55*c[3])/6 + (64*c[5])/3 - (7*c[6])/4 + 
       c[7]/6 - 7*c[8] + (83*c[9])/8 - (3*c[10])/2 - (5*c[12])/6 - 
       (8*c[14])/3 - 3*c[15] + c[18]/4 - c[21] - (9*c[22])/2 - (7*c[23])/2 - 
       (97*c[24])/12 + (14*c[25])/3 + (25*c[26])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     ((-29*c[1])/72 - (23*c[2])/36 + (31*c[3])/36 + (2*c[5])/9 + 
       (19*c[6])/24 - (19*c[7])/18 + (161*c[8])/48 - (47*c[9])/8 - 
       (35*c[10])/12 + (7*c[12])/36 - (4*c[14])/9 - c[15]/4 + (3*c[22])/4 - 
       (5*c[23])/3 - (25*c[24])/18 - (91*c[25])/72 + (53*c[26])/48)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (-c[1] + (7*c[2])/6 - (13*c[3])/18 - c[5]/2 + c[6]/6 + (13*c[7])/6 - 
       c[8]/2 - (19*c[9])/4 - (4*c[10])/9 - (2*c[22])/3 - c[23]/6 + c[24]/6 - 
       (17*c[25])/12 - (5*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - w] + ((-5*c[1])/6 - c[2] + (25*c[3])/18 - c[5]/3 - 
       c[6]/2 - c[8]/2 + c[9]/2 - (5*c[10])/9 - c[24]/2 + (3*c[26])/4)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w] + 
     (c[1]/6 - (2*c[2])/3 + (5*c[3])/12 + c[5]/6 - c[6]/2 + (5*c[7])/6 - 
       c[8]/2 + (3*c[9])/2 - (5*c[10])/12 - (2*c[12])/3 + (2*c[14])/3 + 
       (3*c[23])/2 + c[24]/3 - (5*c[25])/3 + (3*c[26])/2)*HPL[{1}, 1 - w]^4*
      HPL[{0, 1}, 1 - w] + ((-7*c[1])/4 + (31*c[2])/6 - (37*c[3])/18 - 
       3*c[5] + (7*c[6])/3 - (41*c[7])/6 + (59*c[8])/24 - (287*c[9])/24 - 
       (35*c[10])/18 + c[12]/2 + (3*c[13])/2 - c[15] - c[17]/4 - 
       (3*c[19])/2 + (13*c[22])/3 + c[23] - (5*c[24])/12 - (19*c[25])/6 + 
       (61*c[26])/24)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + ((-7*c[1])/2 + (28*c[2])/3 - (34*c[3])/9 + 
       2*c[5] - 11*c[6] + 4*c[7] - (95*c[8])/3 + (83*c[9])/4 + 
       (157*c[10])/9 + c[14] + c[15] - 10*c[22] - c[23] + (26*c[25])/3 - 
       (65*c[26])/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + ((-9*c[1])/4 + 2*c[2] - (5*c[3])/6 + (3*c[6])/2 - 
       (9*c[8])/8 - (5*c[9])/2 - c[10]/2 + c[12] - c[14] + c[22] - 
       (3*c[24])/4 + 3*c[25] - (7*c[26])/4)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-149*c[1])/6 + (55*c[3])/3 + (161*c[5])/3 - (407*c[6])/12 - 
       (13*c[7])/6 - (821*c[8])/6 + (865*c[9])/12 + (53*c[10])/9 + 3*c[12] + 
       c[13] - 3*c[14] - 3*c[15] + (3*c[18])/2 - 2*c[20] + 13*c[21] - 
       (107*c[22])/6 - (112*c[23])/3 - (203*c[24])/12 + (100*c[25])/3 - 
       (45*c[26])/8 - c[28]/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((79*c[1])/6 - (35*c[2])/3 + (59*c[3])/3 + (77*c[5])/3 - 4*c[6] + 
       (7*c[7])/3 - (59*c[8])/4 - (3*c[9])/2 - (38*c[10])/3 - (8*c[12])/3 - 
       c[14]/3 - 5*c[15] + c[20] + c[21] - c[22] - 5*c[23] - (43*c[24])/6 - 
       (91*c[25])/6 + (19*c[26])/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-3*c[1])/2 - 2*c[2] - (25*c[3])/18 + 3*c[5] - (5*c[6])/12 + 
       (7*c[7])/3 - (121*c[8])/24 + 5*c[9] - (8*c[10])/3 - c[11]/2 - 
       (5*c[12])/3 + (5*c[14])/3 + c[15]/2 + c[18]/4 - c[21]/2 + c[22]/2 + 
       (5*c[23])/6 + (5*c[24])/3 - (59*c[25])/12 + (67*c[26])/24)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (-22*c[1] - 4*c[2] + (29*c[3])/3 + 32*c[5] - 22*c[6] + (7*c[7])/2 - 
       (801*c[8])/8 + (265*c[9])/4 + (73*c[10])/6 - (3*c[12])/2 - 2*c[13] + 
       4*c[14] - (17*c[15])/2 + (3*c[18])/2 - c[20] + (9*c[21])/2 - 8*c[22] - 
       14*c[23] - 15*c[24] + 19*c[25] + (15*c[26])/2 - c[28]/24)*
      HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w] + 
     (-9*c[1] + (4*c[2])/3 - (65*c[3])/18 - 3*c[5] + c[6]/2 - c[7] - 
       (89*c[8])/12 - (9*c[9])/8 + (11*c[10])/18 + c[12] + c[13]/2 + 
       c[15]/2 - c[17]/4 + (3*c[19])/2 - (5*c[24])/2 + (43*c[25])/6 - 
       (31*c[26])/24)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((3*c[1])/4 + (148*c[2])/9 + (13*c[3])/54 + 
       10*c[5] - (77*c[6])/12 + c[7] - (427*c[8])/18 + (11*c[9])/12 + 
       (461*c[10])/54 + c[12] - c[13] + c[14] - 8*c[22] + c[23] + 
       (25*c[24])/12 + (140*c[25])/9 - (751*c[26])/72)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (c[1] - c[2] + c[3] + c[6] - c[7] + (19*c[8])/4 - 3*c[9] - 
       (10*c[10])/3 + c[12]/2 - c[14] - c[15]/2 - c[22]/2 - c[23] - c[25]/4 + 
       (3*c[26])/4)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-145*c[1])/12 - (77*c[2])/18 + (535*c[3])/27 + (128*c[5])/3 - 
       (463*c[6])/12 - (49*c[7])/6 - (5443*c[8])/36 + (139*c[9])/3 + 
       (524*c[10])/27 + (7*c[12])/3 + c[13] - (7*c[14])/3 + c[18]/2 - 
       2*c[20] + 11*c[21] - (35*c[22])/2 - 20*c[23] - (47*c[24])/4 + 
       (319*c[25])/9 - (827*c[26])/72 - c[28]/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((299*c[1])/36 - (92*c[2])/9 + (377*c[3])/18 + (307*c[5])/18 - 
       (25*c[6])/12 - (8*c[7])/9 + (17*c[8])/3 + (11*c[9])/4 - 14*c[10] - 
       (26*c[12])/9 - (10*c[14])/9 - 5*c[15] - c[21] - c[22] - (8*c[23])/3 - 
       (197*c[24])/36 - (173*c[25])/9 + (499*c[26])/24)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-7*c[1])/18 + (41*c[2])/9 + (37*c[3])/18 + (10*c[5])/9 - (5*c[6])/12 - 
       (16*c[7])/9 + (41*c[8])/24 - 10*c[9] - (22*c[10])/3 - c[11]/2 + 
       (11*c[12])/9 - (11*c[14])/9 + c[15]/2 + c[18]/4 + c[21]/2 - c[22]/2 - 
       (5*c[23])/6 + c[24]/18 + (65*c[25])/36 - (13*c[26])/24)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-53*c[1])/2 + 13*c[2] + (62*c[3])/3 + 78*c[5] - 54*c[6] - 9*c[7] - 
       (357*c[8])/2 + 78*c[9] + (86*c[10])/3 + 3*c[12] - 5*c[14] - 6*c[15] + 
       (3*c[18])/2 - c[20] + 11*c[21] - 22*c[22] - 42*c[23] - (59*c[24])/2 + 
       (109*c[25])/2 - (21*c[26])/2 - c[28]/12)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-3*c[1] + 4*c[2] + (93*c[3])/4 + (157*c[5])/4 - (71*c[6])/4 + 
       (5*c[7])/2 - (285*c[8])/4 + (575*c[9])/8 + (63*c[10])/4 - c[12] + 
       c[13]/2 + (9*c[14])/2 + c[15]/2 + c[18]/2 - (3*c[20])/2 + 
       (11*c[21])/2 - (35*c[22])/2 - 5*c[23] - (13*c[24])/2 + (23*c[25])/4 + 
       7*c[26] - c[28]/24)*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     (c[1] - (23*c[2])/3 + (29*c[3])/36 - (3*c[5])/2 - (17*c[6])/8 + 5*c[7] - 
       (929*c[8])/48 - (21*c[9])/16 + (7*c[10])/36 - c[12]/2 + (3*c[13])/4 + 
       c[14]/2 - c[15]/4 - c[17]/8 - c[19]/4 + c[22] + c[23]/2 + c[24]/4 - 
       (67*c[25])/12 + (17*c[26])/6)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]^2 + 
     ((-5*c[1])/2 + 12*c[2] - (17*c[3])/6 + (3*c[5])/2 - c[6]/4 - 5*c[7] - 
       (19*c[8])/8 + (107*c[9])/8 + 5*c[10] + c[12] - c[14]/2 + c[15]/2 - 
       2*c[22] - c[23]/2 + (39*c[25])/4 - (29*c[26])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     ((11*c[1])/8 - 3*c[2] + (31*c[3])/12 - (13*c[6])/8 - (15*c[9])/4 - 
       (41*c[10])/12 - c[12]/2 - c[15]/2 - c[22]/2 + c[24]/8 - (15*c[25])/8 + 
       (25*c[26])/16)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2 + 
     ((-163*c[1])/12 + 9*c[2] + (47*c[3])/18 + (68*c[5])/3 - (25*c[6])/4 - 
       (5*c[7])/3 - (1091*c[8])/24 + (303*c[9])/8 + (211*c[10])/18 + 
       (22*c[12])/3 - c[13]/2 - (29*c[14])/6 + 2*c[15] + c[18]/4 - c[20]/2 + 
       (9*c[21])/2 - 4*c[22] - 9*c[23] - (59*c[24])/12 + (73*c[25])/6 - 
       c[26]/3 - c[28]/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2 + ((19*c[1])/4 - 11*c[2] + 8*c[3] + (15*c[5])/2 - 
       c[6] - c[7] + c[8]/2 - (11*c[9])/4 - (55*c[10])/6 - 3*c[12] + 
       c[14]/2 - (3*c[15])/2 - c[20]/2 + c[21]/2 - c[22] - (7*c[23])/2 - 
       2*c[24] - (15*c[25])/4 + (25*c[26])/4)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2 + ((-37*c[1])/24 + (53*c[2])/12 - (25*c[3])/12 + 
       (13*c[5])/12 + (3*c[6])/4 - (4*c[7])/3 - c[8] - (21*c[9])/8 - 
       (13*c[10])/12 + c[11]/4 + (17*c[12])/12 - (2*c[14])/3 + c[15]/2 + 
       c[18]/8 - c[21]/4 - (7*c[23])/4 - c[24]/3 - (11*c[25])/24 - 2*c[26])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2 + 
     (-12*c[1] + c[2] + (31*c[3])/2 + 34*c[5] - 16*c[6] + 6*c[7] - 
       (627*c[8])/8 + (563*c[9])/8 + (10*c[10])/3 + (5*c[12])/2 + 
       (9*c[15])/2 + (3*c[18])/4 - c[20]/2 + (15*c[21])/2 - 7*c[22] - 
       13*c[23] - (17*c[24])/2 + (21*c[25])/2 + (77*c[26])/8 - c[28]/24)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2 + 
     ((-35*c[1])/4 + c[2] + (25*c[3])/3 + (57*c[5])/2 - (89*c[6])/4 - 
       (17*c[7])/2 - (611*c[8])/8 + (397*c[9])/8 + (74*c[10])/3 + 6*c[12] - 
       c[13] - (11*c[14])/2 - (11*c[15])/2 + c[18]/4 - c[20]/2 + 
       (5*c[21])/2 - (35*c[22])/2 - 11*c[23] - (47*c[24])/4 + (79*c[25])/4 - 
       (27*c[26])/4 - c[28]/24)*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     ((-19*c[1])/6 + c[2]/6 + (41*c[3])/9 + (23*c[5])/2 - (31*c[6])/6 + 
       (11*c[7])/3 - (99*c[8])/4 + (713*c[9])/24 + (31*c[10])/6 + 
       (11*c[12])/6 + c[13]/6 - (3*c[14])/2 + c[15]/6 + c[18]/12 - c[20]/2 + 
       (3*c[21])/2 - (9*c[22])/2 - (4*c[23])/3 - (19*c[24])/12 - 
       (5*c[25])/4 + (139*c[26])/24 - c[28]/72)*HPL[{0, 1}, 1 - w]^3 + 
     ((-3*c[1])/2 - (14*c[2])/3 + (2*c[3])/9 - c[6]/6 + 2*c[7] + c[8]/6 + 
       (5*c[9])/2 + (2*c[10])/9 - c[13]/3 - 2*c[22] - c[24]/2 - c[25]/3 + 
       (13*c[26])/12)*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - u] + 
     ((-11*c[1])/2 + (8*c[2])/3 + (7*c[3])/9 - 3*c[5] - c[6]/2 + c[7] - 
       (125*c[8])/6 - (9*c[9])/2 - (13*c[10])/9 + c[13] - c[20] + c[22] - 
       c[24]/2 + c[25]/3 + (5*c[26])/12)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u] + ((13*c[1])/2 - (125*c[2])/36 - (175*c[3])/108 + 
       (3*c[5])/2 + 4*c[6] - (29*c[7])/12 + (481*c[8])/36 - (33*c[9])/4 + 
       (13*c[10])/108 - c[19] + (17*c[22])/12 + (3*c[24])/2 + (77*c[25])/36 - 
       (25*c[26])/18)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - u] - (2*c[10]*HPL[{1}, 1 - v]^3*
       HPL[{0, 0, 1}, 1 - u])/9 + ((23*c[1])/3 - (34*c[2])/3 + (59*c[3])/9 - 
       (7*c[5])/3 - (39*c[6])/2 + (22*c[7])/3 - (169*c[8])/6 + 13*c[9] - 
       (41*c[10])/9 - (14*c[12])/3 + (8*c[14])/3 - 2*c[15] + c[21] - 
       3*c[22] + 4*c[23] + (29*c[24])/6 - 14*c[25] + (79*c[26])/12)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((10*c[1])/3 - (62*c[2])/3 - (59*c[3])/9 - (11*c[5])/3 + 5*c[6] + 
       (26*c[7])/3 + (62*c[8])/3 - 12*c[9] - (13*c[10])/9 + (2*c[12])/3 + 
       (16*c[14])/3 + 4*c[15] + 2*c[22] + 4*c[23] - (22*c[24])/3 - 8*c[25] + 
       (47*c[26])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + ((-95*c[1])/72 + (25*c[2])/36 - (8*c[3])/9 - 
       (71*c[5])/18 + c[6]/2 - (5*c[7])/9 + c[8]/2 - (3*c[9])/2 + 
       (19*c[10])/6 + (5*c[12])/18 - (5*c[14])/18 - (5*c[23])/6 - c[24]/18 + 
       (10*c[25])/9 - (7*c[26])/6)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + ((143*c[1])/12 + (55*c[2])/4 + (277*c[3])/36 + 
       (43*c[5])/6 + (35*c[6])/12 - c[7]/12 + (13*c[8])/2 - (49*c[9])/6 - 
       (373*c[10])/36 + c[11] - (2*c[12])/3 + (8*c[14])/3 - c[19] + 3*c[21] + 
       (5*c[22])/12 - (3*c[24])/4 - (109*c[25])/12 + (229*c[26])/24)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u] + 
     (-c[1]/6 - (10*c[2])/3 + (2*c[3])/3 + (10*c[5])/3 - 2*c[6] + 
       (8*c[7])/3 - 2*c[8] + 6*c[9] - (13*c[10])/3 - (4*c[12])/3 + 
       (4*c[14])/3 + 4*c[23] + (2*c[24])/3 - (16*c[25])/3 + 5*c[26])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((-5*c[1])/8 + (9*c[2])/4 - (13*c[3])/9 - 3*c[5] + (4*c[6])/3 - 
       (5*c[7])/3 + (4*c[8])/3 - 4*c[9] + (20*c[10])/9 + (5*c[12])/6 - 
       (5*c[14])/6 - (5*c[23])/3 - c[24]/3 + (10*c[25])/3 - (17*c[26])/6)*
      HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u] + 
     (-8*c[1] + (10*c[2])/3 + (2*c[3])/9 + c[6] - 6*c[7] + (97*c[8])/3 - 
       9*c[9] - (50*c[10])/9 + 2*c[12] - 6*c[13] - 3*c[24] + (11*c[25])/3 + 
       (5*c[26])/6)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u] + (8*c[2] - (4*c[3])/3 + 4*c[8] + 2*c[12] - 
       2*c[14] + 6*c[25])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u] + ((109*c[1])/6 - (8*c[2])/3 + (5*c[3])/3 - 
       (16*c[5])/3 + c[6] + (4*c[7])/3 - 10*c[8] - 37*c[9] + (14*c[10])/3 - 
       2*c[11] + c[12]/3 + (8*c[14])/3 - c[15] - 2*c[18] + 6*c[21] + 
       8*c[23] + (19*c[24])/3 - (35*c[25])/3 - (5*c[26])/2)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (2*c[1] - (41*c[2])/18 + (173*c[3])/54 + 5*c[6] + (67*c[7])/6 + 
       (475*c[8])/18 + (45*c[9])/2 + (43*c[10])/54 - 2*c[12] - 2*c[13] - 
       (43*c[22])/6 + c[24] - (133*c[25])/18 + (71*c[26])/9)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (8*c[2] - (8*c[3])/3 + 2*c[6] - 4*c[7] + 6*c[8] - 6*c[9] + (4*c[10])/3 + 
       2*c[12] - 2*c[14] - 4*c[23] - 2*c[24] + 14*c[25] - 5*c[26])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((-29*c[1])/36 - (359*c[2])/18 + (173*c[3])/9 + (112*c[5])/9 - 4*c[6] + 
       (14*c[7])/9 - 23*c[8] + 12*c[9] - (118*c[10])/3 + 2*c[11] + 
       (2*c[12])/9 - (29*c[14])/9 - 3*c[15] + 2*c[18] + 2*c[21] + c[23]/3 + 
       (32*c[24])/9 - (154*c[25])/9 + (79*c[26])/6)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (c[1]/2 + (19*c[2])/2 - (17*c[3])/2 - (67*c[6])/6 - (65*c[7])/6 + 
       (91*c[8])/6 - (112*c[9])/3 - (13*c[10])/6 + 2*c[12] + 2*c[13] + 
       4*c[14] + 4*c[21] - (31*c[22])/6 - 8*c[23] - (13*c[24])/6 - 
       (13*c[25])/2 + (5*c[26])/4)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + (6*c[1] + (8*c[3])/3 - 2*c[6] + 4*c[7] - 
       6*c[8] + 6*c[9] - (4*c[10])/3 - 2*c[12] + 2*c[14] + 4*c[23] + 
       2*c[24] - 14*c[25] + 5*c[26])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + ((19*c[1])/12 - (53*c[2])/6 + (137*c[3])/9 + 
       (34*c[5])/3 + (5*c[6])/3 - (26*c[7])/3 - (28*c[8])/3 - 5*c[9] - 
       (110*c[10])/3 - 2*c[11] - (8*c[12])/3 + (11*c[14])/3 - 3*c[15] + 
       2*c[18] + 2*c[21] - (28*c[23])/3 - c[24] + (46*c[25])/3 - c[26]/6)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (c[1] + 2*c[2] - 16*c[3] - 4*c[5] + 2*c[7] + 10*c[8] - 25*c[9] + 
       (92*c[10])/3 - c[11] - c[12] + 4*c[14] + 2*c[15] - 2*c[18] + 4*c[21] - 
       8*c[23] - 2*c[24] - 5*c[25] + 2*c[26])*HPL[{0, 0, 1}, 1 - u]^2 + 
     ((15*c[1])/8 + (14*c[2])/9 - (71*c[3])/108 + (21*c[6])/8 - (11*c[7])/6 + 
       (385*c[8])/72 - (31*c[9])/8 - c[10]/108 + c[16]/3 - (5*c[19])/3 + 
       (11*c[22])/6 + (5*c[24])/8 - (35*c[25])/36 + (5*c[26])/144)*
      HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - v] + 
     (-2*c[1] - 5*c[2] + (5*c[3])/3 + 2*c[5] + c[6]/2 + 3*c[7] - 
       (33*c[8])/2 + 3*c[9] - (10*c[10])/3 + 3*c[15] + c[24]/2 - 
       (11*c[25])/2 + (7*c[26])/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + (4*c[1] + (19*c[2])/3 - (22*c[3])/9 - 4*c[5] - 
       (3*c[6])/2 - c[7] - (37*c[8])/6 + (37*c[9])/2 + (49*c[10])/9 - 
       3*c[15] - 4*c[22] + (3*c[24])/2 - c[25]/3 - (23*c[26])/12)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((-163*c[1])/72 - (17*c[2])/18 - (3*c[3])/4 - (23*c[5])/36 + 
       (13*c[6])/8 + (8*c[7])/9 - (353*c[8])/24 + (9*c[9])/8 - 
       (11*c[10])/18 + (5*c[12])/9 - (5*c[14])/9 + 2*c[19] - 4*c[22] - 
       (5*c[23])/3 + (37*c[24])/72 - (40*c[25])/9 + (19*c[26])/48)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (2*c[1] - 4*c[2] + 7*c[3] + 11*c[5] - 16*c[6] - 6*c[7] + (11*c[8])/2 - 
       (9*c[9])/2 - (37*c[10])/3 + 2*c[21] - 2*c[22] - 2*c[23] + c[24] + 
       (3*c[26])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + (c[1]/6 - (8*c[2])/3 + (7*c[3])/3 - c[5]/3 - 
       (3*c[6])/2 + (10*c[7])/3 + (5*c[8])/2 - (5*c[9])/2 + (13*c[10])/3 - 
       (2*c[12])/3 + c[13] - (4*c[14])/3 + 4*c[23] - (13*c[24])/6 + 
       (37*c[25])/3 - (7*c[26])/4)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + ((29*c[1])/24 - (17*c[2])/18 + (151*c[3])/108 - 
       (13*c[5])/6 + (19*c[6])/24 + (14*c[7])/3 + (949*c[8])/72 - 
       (169*c[9])/24 + (53*c[10])/108 - (4*c[12])/3 + (4*c[14])/3 - c[22] + 
       4*c[23] - c[24]/24 - (89*c[25])/36 + (461*c[26])/144)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     (-2*c[1] - 9*c[2] + (3*c[3])/2 - (3*c[5])/2 + 2*c[6] - 2*c[7] + 
       (3*c[8])/2 - 2*c[9] - (5*c[10])/2 + c[11] + 2*c[14] - 2*c[21] + 
       6*c[23] + (5*c[24])/2 - (11*c[25])/2 + (19*c[26])/4)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((35*c[1])/72 + (14*c[2])/9 - (77*c[3])/36 + (31*c[5])/36 + 
       (17*c[6])/24 - (5*c[7])/18 + (17*c[8])/24 - (25*c[9])/8 + 
       (11*c[10])/18 - (5*c[12])/18 + (5*c[14])/18 - (5*c[23])/6 + 
       (31*c[24])/72 - (4*c[25])/9 - (23*c[26])/48)*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - v] + ((-9*c[1])/4 - (2*c[2])/9 - (83*c[3])/54 + 
       c[6]/4 + c[7]/3 - (1751*c[8])/36 + (45*c[9])/4 + (263*c[10])/54 + 
       2*c[12] + 2*c[13] - 2*c[19] + 4*c[20] + (11*c[22])/3 - (7*c[24])/4 - 
       (83*c[25])/18 + (89*c[26])/72 + c[27])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (-6*c[1] + 4*c[3] + 2*c[6] - 8*c[9] - (16*c[10])/3 + 2*c[12] - 2*c[14] + 
       4*c[21] - 8*c[23] - 2*c[24] - c[25] + c[26])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((101*c[1])/36 + (67*c[2])/9 - (13*c[3])/18 - (17*c[5])/18 + 
       (25*c[6])/4 - (32*c[7])/9 + (185*c[8])/4 - (51*c[9])/4 + 2*c[10] - 
       6*c[11] + (16*c[12])/9 - (34*c[14])/9 - 6*c[15] - 2*c[20] + 2*c[21] - 
       4*c[22] - (16*c[23])/3 + (25*c[24])/36 + (64*c[25])/9 - (73*c[26])/24)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((-44*c[2])/3 + (38*c[3])/9 - 7*c[6] + 18*c[7] - (98*c[8])/3 + 9*c[9] + 
       (4*c[10])/9 - 2*c[12] + 2*c[13] + 8*c[20] - 2*c[22] + c[24] - 
       (64*c[25])/3 + (47*c[26])/6 + c[27])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((-37*c[1])/3 - (38*c[2])/3 + (8*c[3])/3 - (4*c[5])/3 - 12*c[6] - 
       (44*c[7])/3 + 14*c[8] - 7*c[9] - 6*c[10] + 10*c[11] - (2*c[12])/3 + 
       (20*c[14])/3 - 2*c[20] - 6*c[21] + 16*c[23] - (20*c[24])/3 - 
       (5*c[25])/3 + 8*c[26])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + ((31*c[1])/4 - (59*c[2])/9 + (157*c[3])/54 - 
       (29*c[6])/12 + 6*c[7] - (395*c[8])/36 - (13*c[9])/12 - 
       (277*c[10])/54 - 2*c[12] - 2*c[13] + 2*c[19] - 8*c[20] - 2*c[22] - 
       (5*c[24])/12 - (161*c[25])/18 + (257*c[26])/72 - c[27])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (-2*c[6] + 2*c[8] + 2*c[24] - c[25] + c[26])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((11*c[1])/36 - (128*c[2])/9 - (97*c[3])/18 + (19*c[5])/18 + 
       (5*c[6])/12 + (55*c[7])/9 + (77*c[8])/12 + (19*c[9])/4 + 
       (11*c[10])/3 + 10*c[11] - (35*c[12])/9 + (53*c[14])/9 + 2*c[20] - 
       2*c[21] + (25*c[23])/3 + (91*c[24])/36 - (29*c[25])/9 + (85*c[26])/24)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (-12*c[1] + 6*c[2] + 5*c[3] + 6*c[5] + 10*c[6] - 10*c[7] + 15*c[8] - 
       3*c[9] - (20*c[10])/3 - 12*c[11] + 2*c[12] + 2*c[13] - 4*c[14] - 
       6*c[15] - 8*c[20] + 4*c[21] - 8*c[23] - 2*c[24] + 4*c[25] - 3*c[26])*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (-c[1] - 6*c[2] - 12*c[3] + 6*c[5] + 8*c[6] + 11*c[7] - (41*c[8])/2 - 
       (11*c[9])/2 + (13*c[10])/3 - c[11] + c[17] - c[19] + c[20] - 2*c[23] - 
       (5*c[25])/2 - c[26]/2)*HPL[{0, 0, 1}, 1 - v]^2 + 
     ((5*c[1])/8 + (17*c[2])/12 - c[3]/18 - c[4]/3 + (5*c[6])/24 - 
       (7*c[7])/12 - c[8]/24 + (37*c[9])/24 + (2*c[10])/9 + (7*c[22])/12 + 
       (5*c[24])/24 - (5*c[25])/12 + (5*c[26])/48)*HPL[{1}, 1 - u]^3*
      HPL[{0, 0, 1}, 1 - w] + (-4*c[1] - (10*c[2])/3 + (4*c[3])/9 - c[6] + 
       2*c[7] - c[8]/3 + c[9] - (7*c[10])/9 - 2*c[22] - c[24] + (4*c[25])/3 + 
       c[26]/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     ((17*c[1])/8 + (25*c[2])/36 - (23*c[3])/54 + (17*c[6])/24 - (5*c[7])/4 + 
       (101*c[8])/72 - (47*c[9])/24 - (61*c[10])/54 + (5*c[22])/4 + 
       (17*c[24])/24 - (25*c[25])/36 - (53*c[26])/144)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((47*c[1])/12 + (119*c[2])/12 + (55*c[3])/36 + (77*c[5])/12 + 
       (391*c[6])/24 - 11*c[7] + (293*c[8])/8 - (91*c[9])/8 - (41*c[10])/9 + 
       c[11] - 3*c[13] - c[14] - 2*c[19] - c[21] + 6*c[22] + c[23]/6 - 
       (17*c[24])/24 + (13*c[25])/6 + (71*c[26])/48)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((-53*c[1])/3 + (10*c[2])/3 - (131*c[3])/9 - (68*c[5])/3 - 7*c[6] + 
       (20*c[7])/3 - (19*c[8])/3 + 11*c[9] + (134*c[10])/9 - (4*c[12])/3 + 
       2*c[13] + (34*c[14])/3 + 4*c[15] - 4*c[22] + 14*c[23] + (23*c[24])/3 - 
       12*c[25] + (55*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((353*c[1])/36 - (53*c[2])/36 - (77*c[3])/36 - (7*c[5])/36 + 
       (121*c[6])/24 - (61*c[7])/18 + (73*c[8])/24 - (61*c[9])/8 - 
       (4*c[10])/3 + c[11] + (10*c[12])/9 + (8*c[14])/9 + c[21] - 
       (2*c[23])/3 + (263*c[24])/72 - (49*c[25])/18 - (139*c[26])/48)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((-47*c[1])/6 - (22*c[2])/3 - c[3]/9 - (10*c[5])/3 - (13*c[6])/2 - 
       (14*c[7])/3 - (17*c[8])/3 + 6*c[9] + (10*c[10])/9 - (5*c[12])/3 - 
       c[14]/3 - 2*c[15] - c[20] + 3*c[21] - 7*c[22] - 7*c[23] + 
       (5*c[24])/6 + 5*c[25] - (71*c[26])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-73*c[1])/6 + (17*c[2])/3 - 3*c[3] + c[5]/3 - 5*c[6] + (11*c[7])/3 + 
       (7*c[8])/2 - 3*c[9] + 6*c[10] + (2*c[12])/3 - (8*c[14])/3 - 3*c[21] + 
       5*c[23] - (10*c[24])/3 + (32*c[25])/3 + 3*c[26])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((2*c[1])/3 - (5*c[2])/3 + (26*c[3])/9 + (2*c[5])/3 - (3*c[6])/2 + 
       (7*c[7])/3 - (3*c[8])/2 + (9*c[9])/2 - (29*c[10])/9 - (8*c[12])/3 + 
       (8*c[14])/3 + c[21]/3 + 5*c[23] + (5*c[24])/6 - 5*c[25] + 
       (61*c[26])/12)*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w] + 
     ((-43*c[1])/4 + (35*c[2])/2 - (20*c[3])/3 - 9*c[5] + (59*c[6])/12 - 
       (67*c[7])/6 - (41*c[8])/12 + (283*c[9])/12 + (14*c[10])/3 + c[13] + 
       3*c[14] - c[17] - 2*c[19] + c[22]/6 + 3*c[23] - c[24]/12 - 14*c[25] + 
       (69*c[26])/8)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + (20*c[8] - 6*c[9] - 4*c[22] + 8*c[25] - 
       2*c[26])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     ((7*c[1])/6 - (13*c[2])/6 - (187*c[3])/18 + c[5]/6 + (67*c[6])/12 - 
       (4*c[7])/3 + (391*c[8])/12 - (27*c[9])/4 + (8*c[10])/3 - 
       (16*c[12])/3 + (28*c[14])/3 + 2*c[15] - 2*c[20] + 6*c[21] - 
       (35*c[23])/3 + c[24]/4 - (19*c[25])/3 + (115*c[26])/24)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     ((-79*c[1])/4 + c[2]/18 - (200*c[3])/27 - 9*c[5] - (73*c[6])/12 - 
       (17*c[7])/2 - (1315*c[8])/36 - (161*c[9])/12 - (37*c[10])/27 + c[13] + 
       3*c[14] - c[17] + 2*c[19] + (3*c[22])/2 + 3*c[23] - (37*c[24])/12 + 
       (148*c[25])/9 - (455*c[26])/72)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + (6*c[1] + 8*c[2] + 2*c[6] - 4*c[7] + 14*c[8] - 
       4*c[9] + 2*c[24] - 2*c[25] - c[26])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + ((53*c[1])/18 + (139*c[2])/18 + c[3]/18 - 
       c[5]/18 - (35*c[6])/12 + (107*c[7])/9 + c[8]/12 + (27*c[9])/4 + 
       (37*c[10])/3 - (10*c[12])/9 + 4*c[13] + (10*c[14])/9 + 2*c[15] + 
       2*c[20] - 2*c[21] + (32*c[23])/3 + (107*c[24])/36 - (34*c[25])/9 + 
       (89*c[26])/24)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + (2*c[1] - (8*c[2])/3 - (43*c[3])/9 - 3*c[5] + 
       (3*c[6])/2 + 10*c[7] - (77*c[8])/3 + (11*c[9])/2 + (88*c[10])/9 - 
       c[13] + c[14] + c[17] + 2*c[19] + c[22] + c[23] + c[24]/2 - 
       (29*c[25])/6 + (31*c[26])/12)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + (8*c[2] + 4*c[6] - 8*c[7] + 24*c[8] - 2*c[9] - 
       (8*c[10])/3 + 2*c[25] - 2*c[26])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + ((-58*c[1])/3 + (76*c[2])/3 - (10*c[3])/3 - 
       (4*c[5])/3 - 15*c[6] - (20*c[7])/3 - 2*c[8] - 8*c[9] + (20*c[10])/3 + 
       (10*c[12])/3 + 2*c[13] - (10*c[14])/3 + 2*c[15] - 2*c[20] - 6*c[21] + 
       16*c[23] - (23*c[24])/3 + (4*c[25])/3 + (13*c[26])/2)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (6*c[1] - 4*c[2] - (41*c[3])/3 - c[5] + 2*c[6] - 4*c[7] + 3*c[8] - 
       5*c[9] + (17*c[10])/3 + 2*c[13] + 4*c[14] - 2*c[20] + 4*c[21] - 
       8*c[23] - 2*c[24] + 2*c[25] - c[26])*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + (8*c[1] - 8*c[2] - (17*c[3])/3 - 9*c[5] - 
       3*c[6] + 6*c[7] + 6*c[8] - 3*c[9] + (7*c[10])/3 - 2*c[12] - 4*c[13] - 
       18*c[20] + 4*c[23] + 6*c[24] - 12*c[25] + 3*c[26] - 2*c[27])*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (5*c[1] - 7*c[2] + (16*c[3])/3 + 6*c[5] - c[6] + 10*c[7] - 25*c[8] - 
       (25*c[9])/2 + (4*c[10])/3 - c[13] - 2*c[14] + c[17] - c[19] - 
       2*c[23] - (5*c[25])/2 - c[26]/2)*HPL[{0, 0, 1}, 1 - w]^2 + 
     (c[4]*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - u])/3 + 
     (-3*c[1] + (4*c[2])/3 + (2*c[3])/9 - c[6] + c[8]/3 + 2*c[9] - 
       (2*c[10])/9 - c[24] + (5*c[25])/3 - c[26]/6)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((-5*c[1])/2 - (281*c[2])/36 + (449*c[3])/108 + (7*c[5])/2 - c[6]/2 + 
       (67*c[7])/12 - (197*c[8])/36 + (17*c[9])/4 - (287*c[10])/108 - 
       2*c[14] - 2*c[15] - (43*c[22])/12 - 2*c[23] - 3*c[24] + 
       (53*c[25])/36 + c[26]/36)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u] + (c[1] - (19*c[2])/3 + (16*c[3])/9 + c[5] - 
       11*c[6] + 5*c[7] - (100*c[8])/3 + 7*c[9] + (8*c[10])/9 + 2*c[15] + 
       c[17]/2 + 3*c[19] - 4*c[22] + c[25]/3 - c[26]/3)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((-4*c[1])/3 + 2*c[2] - (32*c[3])/9 - (10*c[5])/3 + 28*c[6] - 
       (20*c[7])/3 + (365*c[8])/3 - 21*c[9] - (70*c[10])/9 - (2*c[12])/3 - 
       2*c[13] - (4*c[14])/3 - 2*c[15] + 10*c[22] - (11*c[24])/3 - 
       (19*c[25])/3 + (43*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((361*c[1])/72 + (85*c[2])/36 + (47*c[3])/18 + (26*c[5])/9 + c[6] + 
       c[7]/9 + 4*c[8] + 7*c[9] - (8*c[10])/3 - (19*c[12])/18 + 
       (19*c[14])/18 + 2*c[22] + (19*c[23])/6 - (8*c[24])/9 - 
       (139*c[25])/18 + (79*c[26])/12)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + ((37*c[1])/12 + (31*c[2])/4 - (223*c[3])/36 - 
       (13*c[5])/6 + (305*c[6])/12 - (15*c[7])/4 + (487*c[8])/6 - 
       (49*c[9])/6 - (77*c[10])/36 + (2*c[12])/3 - (2*c[14])/3 + 
       (29*c[22])/12 + (13*c[24])/12 - (29*c[25])/12 - (37*c[26])/24)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((-17*c[1])/3 + (32*c[2])/3 - (71*c[3])/3 - (143*c[5])/3 - c[6]/2 - 
       (10*c[7])/3 + (43*c[8])/2 - 25*c[9] + 9*c[10] + (17*c[12])/3 + 
       (7*c[14])/3 + 8*c[15] - c[18]/2 + c[21] + 2*c[22] + 8*c[23] + 
       (103*c[24])/6 + (53*c[25])/3 - (89*c[26])/4)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((-7*c[1])/24 - (41*c[2])/12 + (23*c[3])/9 + (4*c[5])/3 - (11*c[6])/6 + 
       c[7] - (11*c[8])/6 + (77*c[9])/6 - (20*c[10])/9 - c[12]/2 + c[14]/2 + 
       (7*c[23])/3 - (5*c[24])/6 - (4*c[25])/3 + (13*c[26])/4)*
      HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u] + 
     ((-3*c[1])/2 - (37*c[2])/3 + (67*c[3])/9 + 6*c[5] + (9*c[6])/2 + 
       15*c[7] - (157*c[8])/3 + 21*c[9] - (79*c[10])/9 - 2*c[13] - 2*c[14] + 
       c[17] + 2*c[19] - 3*c[22] - 2*c[23] - (3*c[24])/2 - (17*c[25])/3 - 
       (37*c[26])/12)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (c[1] - 4*c[2] + 6*c[3] + c[6] + 17*c[8] - 
       16*c[9] - 6*c[10] + 2*c[12] - 4*c[14] - 2*c[15] - 2*c[22] - c[24] + 
       11*c[25] - (7*c[26])/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + ((22*c[1])/3 - c[2]/3 - (50*c[3])/3 - 
       (164*c[5])/3 + 33*c[6] + (50*c[7])/3 + 115*c[8] - 51*c[9] + 
       (46*c[10])/3 - (4*c[12])/3 + 2*c[13] - (20*c[14])/3 + 14*c[15] - 
       6*c[18] + 2*c[20] - 23*c[21] - 14*c[22] + 49*c[23] + (38*c[24])/3 - 
       (88*c[25])/3 + 12*c[26] + c[28]/6)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + ((21*c[1])/2 - (179*c[2])/18 + (275*c[3])/54 + 
       6*c[5] + (5*c[6])/2 + (73*c[7])/6 - (401*c[8])/18 + (23*c[9])/2 + 
       (13*c[10])/54 + 2*c[13] - 2*c[14] + c[17] - 2*c[19] + (23*c[22])/6 - 
       2*c[23] + (5*c[24])/2 - (211*c[25])/18 + (71*c[26])/36)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (7*c[1] + 4*c[2] + (14*c[3])/3 + 5*c[6] - 8*c[7] + 30*c[8] - 2*c[9] - 
       (26*c[10])/3 + 2*c[12] - 4*c[14] - 2*c[15] - 2*c[22] - 4*c[23] + 
       c[24] - 5*c[25] + (5*c[26])/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + ((121*c[1])/36 + (295*c[2])/18 - (274*c[3])/9 - 
       (458*c[5])/9 + 32*c[6] - (46*c[7])/9 + 144*c[8] - 87*c[9] + 14*c[10] + 
       (41*c[12])/9 + 2*c[13] - (77*c[14])/9 + 2*c[15] - 4*c[18] + 6*c[20] - 
       21*c[21] + 8*c[22] + (94*c[23])/3 + (116*c[24])/9 + (92*c[25])/9 - 
       (64*c[26])/3 + c[28]/6)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (7*c[1] - (27*c[2])/2 + (31*c[3])/6 + 6*c[5] + 
       c[6]/3 + (97*c[7])/6 + (43*c[8])/6 + (5*c[9])/3 + (3*c[10])/2 - 
       6*c[13] - 2*c[14] + c[17] + 2*c[19] - (49*c[22])/6 - 2*c[23] + 
       (4*c[24])/3 + (3*c[25])/2 - 3*c[26])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (7*c[1] - 4*c[2] + 10*c[3] - 2*c[6] - 8*c[7] + (49*c[8])/2 - 12*c[9] - 
       (38*c[10])/3 - 2*c[12] - 2*c[15] - 2*c[22] + c[24] - 6*c[25] + 
       4*c[26])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((157*c[1])/12 - (83*c[2])/6 - (238*c[3])/9 - (140*c[5])/3 + 
       (62*c[6])/3 + (10*c[7])/3 + (733*c[8])/6 - 86*c[9] + 14*c[10] - 
       (23*c[12])/3 - 2*c[13] + (11*c[14])/3 - 2*c[15] - 4*c[18] + 6*c[20] - 
       21*c[21] + 8*c[22] + (113*c[23])/3 + 13*c[24] - (8*c[25])/3 - 
       (73*c[26])/6 + c[28]/6)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + (19*c[1] + (32*c[3])/3 + 16*c[7] - 50*c[8] + 
       6*c[9] - (16*c[10])/3 + 12*c[13] - 2*c[21] + 12*c[23] + 10*c[24] - 
       26*c[25] + 9*c[26])*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (4*c[2] - 6*c[3] + 13*c[6] + (163*c[8])/2 - (89*c[9])/2 - 8*c[10] + 
       2*c[12] - 4*c[13] - 2*c[14] + 4*c[15] - c[18] - 4*c[20] + 2*c[21] - 
       4*c[22] - 2*c[23] + 2*c[24] + 16*c[25] - 10*c[26] - 2*c[27])*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (17*c[1] - 8*c[2] + (10*c[3])/3 + 6*c[5] + 5*c[6] + 8*c[7] + 
       (121*c[8])/2 - (49*c[9])/2 - 6*c[13] - 2*c[14] + 2*c[17] - 2*c[22] - 
       2*c[23] + 2*c[24] + 7*c[25] - c[26])*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + (3*c[1] + 8*c[2] + (5*c[3])/3 + (21*c[6])/2 - 
       2*c[7] + (185*c[8])/4 + (25*c[9])/4 - 7*c[10] - 2*c[13] + 5*c[15] + 
       c[17] + 7*c[19] - 8*c[22] + c[24] + 12*c[25] - (3*c[26])/2)*
      HPL[{0, 1, 1}, 1 - u]^2 + ((-9*c[1])/8 - (7*c[2])/9 - (59*c[3])/108 - 
       (3*c[6])/8 - (5*c[7])/6 + (145*c[8])/72 - (39*c[9])/8 - 
       (85*c[10])/108 + (5*c[22])/6 - (3*c[24])/8 + (13*c[25])/36 + 
       (29*c[26])/144)*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - v] + 
     (4*c[1] - 8*c[2] + (7*c[3])/2 + (9*c[5])/2 + 4*c[7] - 5*c[8] - c[9] - 
       (3*c[10])/2 - 2*c[14] - 2*c[15] - 2*c[22] - 2*c[23] - 2*c[24] - 
       c[25] + c[26])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + (c[3]/3 + c[5] - c[10]/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v] + 
     ((257*c[1])/72 - (77*c[2])/18 - (41*c[3])/12 - (335*c[5])/36 + c[6]/8 + 
       (32*c[7])/9 + (37*c[8])/24 - (5*c[9])/8 + c[10]/18 - (7*c[12])/9 + 
       (25*c[14])/9 + c[15] + 3*c[22] + (13*c[23])/3 + (229*c[24])/72 - 
       (115*c[25])/9 + (259*c[26])/48)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (-9*c[1] + 8*c[2] + (20*c[3])/3 + 2*c[5] - 
       7*c[6] - 2*c[7] - 12*c[8] + 16*c[9] + (2*c[10])/3 - 2*c[14] - 
       2*c[15] - 2*c[22] - 2*c[23] - 5*c[24] + 7*c[25] + c[26]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] - 
     (2*c[10]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/3 + 
     ((-271*c[1])/24 - (59*c[2])/18 - (827*c[3])/108 - (8*c[5])/3 + 
       (115*c[6])/24 - (10*c[7])/3 + (205*c[8])/72 - (373*c[9])/24 + 
       (167*c[10])/108 + (11*c[12])/3 - (2*c[14])/3 + 2*c[15] - c[18]/2 + 
       c[21] + 4*c[22] - 4*c[23] - c[24]/24 + (103*c[25])/36 - 
       (811*c[26])/144)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v] + ((7*c[1])/2 - 2*c[2] - c[3]/6 - (9*c[5])/2 - 
       (7*c[6])/2 + 2*c[7] - 8*c[8] + 11*c[9] + (25*c[10])/6 - 2*c[12] + 
       2*c[14] - 2*c[22] + 2*c[23] + 2*c[24])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     ((59*c[1])/72 - (7*c[2])/9 - (5*c[3])/36 + (43*c[5])/36 - (19*c[6])/24 + 
       (43*c[7])/18 - (19*c[8])/24 + (35*c[9])/8 - (13*c[10])/18 - 
       (29*c[12])/18 + (29*c[14])/18 + (19*c[23])/6 + (115*c[24])/72 - 
       (43*c[25])/9 + (133*c[26])/48)*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - v] + ((29*c[1])/4 + (58*c[2])/9 + (499*c[3])/54 - 
       (5*c[6])/4 + c[7]/3 - (827*c[8])/36 + (61*c[9])/4 - (139*c[10])/54 + 
       2*c[12] + 2*c[13] - 4*c[14] - 2*c[15] + (8*c[22])/3 - (9*c[24])/4 - 
       (41*c[25])/18 + (191*c[26])/72)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + ((149*c[1])/36 - (26*c[2])/9 - (49*c[3])/18 - 
       (101*c[5])/18 - (11*c[6])/4 + (10*c[7])/9 - (19*c[8])/4 + 
       (25*c[9])/4 + (16*c[10])/3 - (14*c[12])/9 + (86*c[14])/9 + 2*c[15] - 
       c[18] + 5*c[21] - 2*c[22] + (5*c[23])/3 + (121*c[24])/36 - 
       (236*c[25])/9 + (215*c[26])/24)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + (c[1]/2 - (40*c[2])/3 + (67*c[3])/9 - 
       (11*c[6])/2 + 10*c[7] - (4*c[8])/3 + 2*c[9] - (13*c[10])/9 + 2*c[12] + 
       6*c[13] - 4*c[14] - 2*c[15] - 3*c[22] - 4*c[23] - (9*c[24])/2 - 
       (5*c[25])/3 + (53*c[26])/12)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + ((-20*c[1])/3 - c[2]/3 - (19*c[3])/3 - 
       (29*c[5])/3 - 7*c[6] + (29*c[7])/3 - 18*c[8] + 19*c[9] + 
       (59*c[10])/3 - (7*c[12])/3 + (19*c[14])/3 + 2*c[15] - c[18] - 
       9*c[21] + 2*c[22] + 25*c[23] - (10*c[24])/3 + (5*c[25])/3 + 10*c[26])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     ((41*c[1])/4 - (233*c[2])/9 + (415*c[3])/54 + c[6]/12 - (317*c[8])/36 - 
       (193*c[9])/12 - (427*c[10])/54 - 2*c[12] - 6*c[13] - 2*c[15] + 
       9*c[22] + c[24]/12 - (245*c[25])/18 + (719*c[26])/72)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((-697*c[1])/36 + (175*c[2])/9 - (337*c[3])/18 - (173*c[5])/18 + 
       (137*c[6])/12 - (83*c[7])/9 + (83*c[8])/12 - (5*c[9])/4 + 23*c[10] + 
       (79*c[12])/9 - (115*c[14])/9 + 2*c[15] - c[18] - 5*c[21] + 2*c[22] - 
       (26*c[23])/3 - (353*c[24])/36 + (373*c[25])/9 - (539*c[26])/24)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (10*c[1] - 10*c[2] + (26*c[3])/3 - 8*c[5] + c[6] - 9*c[8] - 11*c[9] - 
       (14*c[10])/3 + 2*c[12] + 8*c[14] - c[18] + 8*c[21] + 6*c[23] + 
       3*c[24] - 36*c[25] + (25*c[26])/2)*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + (28*c[2] - (10*c[3])/3 + 4*c[5] - 2*c[7] + 
       52*c[8] - 52*c[9] - (16*c[10])/3 - 8*c[15])*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + (-c[1] - 22*c[2] - (4*c[3])/3 + 12*c[6] + 
       6*c[7] - (5*c[8])/2 + (23*c[9])/2 + (8*c[10])/3 - 12*c[13] + 4*c[22] - 
       c[24] + (3*c[26])/2)*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (-83*c[1] - 24*c[2] - 17*c[3] + 10*c[5] - c[6] + 6*c[7] - 13*c[8] + 
       20*c[9] + (26*c[10])/3 - 8*c[13] + 10*c[14] - 2*c[22] - 25*c[24] + 
       14*c[25] + (47*c[26])/2)*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     ((-11*c[1])/2 + 2*c[2] + (7*c[3])/3 - (7*c[6])/2 - (7*c[8])/2 + 
       19*c[9] - (7*c[10])/3 - (7*c[24])/2 + (7*c[25])/2 + (7*c[26])/4)*
      HPL[{0, 1, 1}, 1 - v]^2 + ((-19*c[1])/8 - (17*c[2])/4 + (7*c[3])/6 - 
       (49*c[6])/8 + (13*c[7])/12 + (95*c[8])/24 + (173*c[9])/24 + 
       (5*c[10])/9 + (2*c[15])/3 + c[17]/6 + (4*c[19])/3 - (15*c[22])/4 - 
       (19*c[24])/24 + (11*c[25])/12 + (13*c[26])/48)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1, 1}, 1 - w] + (5*c[1] - (22*c[2])/3 - (86*c[3])/9 - 6*c[5] + 
       (61*c[6])/2 + 4*c[7] + (785*c[8])/12 - (69*c[9])/4 - (61*c[10])/9 + 
       2*c[14] + c[15] + 17*c[22] + 2*c[23] + c[24] - (59*c[25])/3 + 
       (55*c[26])/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + ((-27*c[1])/8 + (301*c[2])/36 - (121*c[3])/27 - 
       (13*c[5])/2 + (5*c[6])/24 - (21*c[7])/4 + (545*c[8])/72 + 
       (133*c[9])/24 + (241*c[10])/27 + 2*c[14] + 2*c[15] + (5*c[22])/4 + 
       2*c[23] + (53*c[24])/24 + (149*c[25])/36 - (209*c[26])/144)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w] - 
     (2*c[10]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w])/9 + 
     ((43*c[1])/4 + (59*c[2])/12 + (7*c[3])/4 - c[5]/4 + (259*c[6])/24 + 
       (56*c[7])/3 + (287*c[8])/24 + (81*c[9])/8 - (49*c[10])/9 - 
       (4*c[12])/3 + (4*c[14])/3 + 4*c[22] + (19*c[23])/6 - (61*c[24])/24 - 
       18*c[25] + (161*c[26])/16)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((-8*c[1])/3 + 12*c[2] - (79*c[3])/9 - 
       (110*c[5])/3 + c[6] - (4*c[7])/3 + (16*c[8])/3 - 11*c[9] - 
       (8*c[10])/9 + (8*c[12])/3 + (4*c[14])/3 + 2*c[15] - c[18] + 2*c[21] + 
       6*c[22] + 6*c[23] + (47*c[24])/3 + c[25]/3 - (97*c[26])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((41*c[1])/36 - (65*c[2])/36 + (61*c[3])/36 + (23*c[5])/36 - 
       (71*c[6])/24 + (23*c[7])/18 - (167*c[8])/24 + (63*c[9])/8 - 
       (17*c[10])/6 - (2*c[12])/9 + (2*c[14])/9 - 2*c[22] + (7*c[23])/3 + 
       (167*c[24])/72 + (13*c[25])/9 - (67*c[26])/48)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((-5*c[1])/3 - (25*c[2])/3 - c[3]/3 + (4*c[5])/3 - 4*c[6] - 
       (10*c[7])/3 - 4*c[8] + (31*c[9])/2 + 5*c[10] - (4*c[12])/3 + 
       (4*c[14])/3 + 2*c[23] + (2*c[24])/3 + (19*c[25])/6 + (3*c[26])/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w] + 
     (-c[1]/3 + (4*c[2])/3 - (5*c[3])/3 - (7*c[5])/3 + c[6] - (2*c[7])/3 + 
       c[8] - c[9] + (11*c[10])/3 + (4*c[12])/3 - (4*c[14])/3 + c[24]/3 + 
       (4*c[25])/3 - (3*c[26])/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w] + ((10*c[3])/9 - (10*c[10])/9)*HPL[{1}, 1 - w]^3*
      HPL[{0, 1, 1}, 1 - w] + ((131*c[1])/4 - (27*c[2])/2 - (22*c[3])/3 - 
       48*c[5] + (215*c[6])/12 + (65*c[7])/6 + (883*c[8])/12 - 
       (779*c[9])/12 - (5*c[10])/3 - 2*c[13] - 6*c[14] + 2*c[15] - 3*c[18] + 
       4*c[20] - 26*c[21] + (85*c[22])/6 + 60*c[23] + (215*c[24])/12 - 
       (103*c[25])/2 + (193*c[26])/8 + c[28]/6)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (-c[1] + 12*c[2] - (22*c[3])/3 - c[6] + 7*c[8] + 10*c[9] + 6*c[10] + 
       2*c[14] + 2*c[15] - 2*c[22] + c[24] + 3*c[25] + (3*c[26])/2)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((73*c[1])/6 + (29*c[2])/6 - (7*c[3])/18 - (59*c[5])/6 + (43*c[6])/12 - 
       (22*c[7])/3 + (127*c[8])/12 - (79*c[9])/4 + (16*c[10])/3 + 2*c[11] + 
       (8*c[12])/3 + (10*c[14])/3 - c[18] + 5*c[21] - (14*c[23])/3 + 
       (5*c[24])/4 - c[25]/3 - (89*c[26])/24)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((63*c[1])/4 + (7*c[2])/18 - (284*c[3])/27 - 32*c[5] + (275*c[6])/12 + 
       (35*c[7])/2 + (4169*c[8])/36 - (83*c[9])/12 - (52*c[10])/27 - 
       2*c[12] - 2*c[13] - 8*c[14] - 2*c[15] - c[18] + 4*c[20] - 22*c[21] + 
       (23*c[22])/2 + 36*c[23] + (179*c[24])/12 - (619*c[25])/18 + 
       (1405*c[26])/72 + c[28]/6)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + (-c[1] + 12*c[2] - (22*c[3])/3 - c[6] - 
       10*c[8] - 8*c[9] + 10*c[10] + 2*c[14] + 2*c[15] + 2*c[22] - c[24] + 
       17*c[25] - (17*c[26])/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + ((-133*c[1])/18 - (179*c[2])/18 - 
       (119*c[3])/18 - (97*c[5])/18 - (23*c[6])/12 + (29*c[7])/9 + 
       (13*c[8])/12 + (43*c[9])/4 + (65*c[10])/3 + 2*c[11] - (16*c[12])/9 - 
       (2*c[14])/9 - c[18] - 5*c[21] + (5*c[23])/3 - (205*c[24])/36 + 
       (41*c[25])/9 - (55*c[26])/24)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + ((53*c[1])/2 - (106*c[2])/3 - (50*c[3])/9 - 
       28*c[5] - (19*c[6])/2 + 16*c[7] + (259*c[8])/6 - 70*c[9] - c[10]/9 - 
       18*c[12] + 2*c[13] + 4*c[14] - 6*c[15] - c[18] + 4*c[20] - 26*c[21] + 
       11*c[22] + 40*c[23] + (15*c[24])/2 - (41*c[25])/3 + (101*c[26])/12 + 
       c[28]/6)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (-c[1] + 12*c[2] - (22*c[3])/3 + 4*c[6] + 4*c[7] - (13*c[8])/2 + 
       16*c[9] + (26*c[10])/3 + 2*c[14] + 2*c[15] + 2*c[22] + 4*c[23] + 
       c[24] - 6*c[25] - c[26])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((-32*c[1])/3 - (28*c[2])/3 - (7*c[3])/3 - 
       (29*c[5])/3 - 3*c[6] + (17*c[7])/3 + 10*c[8] + 18*c[9] + 21*c[10] - 
       2*c[11] - (4*c[12])/3 - (14*c[14])/3 - c[18] - 9*c[21] + 21*c[23] - 
       (16*c[24])/3 + (29*c[25])/3 + 10*c[26])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (7*c[1] + 14*c[2] - (46*c[3])/3 - 24*c[5] + c[6] + c[8] - 11*c[9] + 
       (70*c[10])/3 + 4*c[11] + 12*c[14] + 2*c[15] - 3*c[18] + 8*c[21] + 
       6*c[23] + 3*c[24] - 38*c[25] + (25*c[26])/2)*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w] + (8*c[1] + 16*c[2] + (34*c[3])/3 + 8*c[5] + 
       15*c[6] + 6*c[7] - (19*c[8])/2 + (25*c[9])/2 - (16*c[10])/3 - 
       20*c[11] + 2*c[12] - 2*c[14] - 4*c[15] + c[18] + 2*c[21] + 4*c[22] - 
       2*c[23] + 2*c[24] - 10*c[25] + 8*c[26])*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + (8*c[1] - 20*c[2] - (70*c[3])/3 + 4*c[5] + 
       28*c[6] + 2*c[7] + 62*c[8] - 30*c[9] - (2*c[10])/3 - 4*c[12] - 
       8*c[13] + 8*c[14] + 4*c[20] + 16*c[21] - 40*c[23] + 4*c[24] + 
       14*c[25] - 22*c[26])*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (-3*c[1] + 42*c[2] + 5*c[3] + 9*c[5] + 39*c[6] - 30*c[7] + 69*c[8] + 
       26*c[9] - (71*c[10])/3 + 12*c[12] + 4*c[13] + 10*c[14] - 4*c[15] + 
       6*c[18] - 8*c[20] + 52*c[21] + 10*c[22] - 66*c[23] - 7*c[24] + 
       20*c[25] - (57*c[26])/2 - c[28]/3)*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w] + (29*c[1] - 32*c[2] + 19*c[3] + 17*c[5] - 
       11*c[6] + 4*c[7] - 34*c[8] + 35*c[9] - (79*c[10])/3 + 4*c[14] + 
       20*c[15] + 4*c[21] + 20*c[22] + 6*c[23] + 12*c[24] - 42*c[25] + 
       8*c[26])*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((9*c[1])/2 + 7*c[2] + c[3] - 3*c[5] - 3*c[6] - 12*c[8] + (27*c[9])/2 + 
       c[10] - c[11] + c[12] - 2*c[14] - c[18]/2 - 6*c[21] + 17*c[23] - 
       2*c[24] - (39*c[25])/2 + 9*c[26])*HPL[{0, 1, 1}, 1 - w]^2 + 
     (-c[1] - (38*c[2])/3 + (2*c[3])/9 - 5*c[6] + 2*c[7] + (25*c[8])/3 + 
       5*c[9] - (2*c[10])/9 - 2*c[22] - c[24] + (2*c[25])/3 + (5*c[26])/6)*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-5*c[1] - (98*c[2])/3 - (28*c[3])/9 + 12*c[5] - c[6] + 10*c[7] - 
       (29*c[8])/3 + 2*c[9] - (50*c[10])/9 - 6*c[22] - 4*c[23] - 9*c[24] - 
       c[25]/3 + (47*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u] + ((2*c[3])/3 - 4*c[5] + 4*c[10])*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((115*c[1])/6 + 4*c[2] + (313*c[3])/9 + (80*c[5])/3 - 5*c[6] + 
       (40*c[7])/3 - (19*c[8])/3 + 37*c[9] - (370*c[10])/9 - (17*c[12])/3 + 
       (14*c[14])/3 - 5*c[15] + 4*c[18] + 4*c[21] - 6*c[22] - 2*c[23] - 
       (5*c[24])/3 - (52*c[25])/3 + (121*c[26])/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((-28*c[1])/3 - (8*c[2])/3 - 2*c[3] + (2*c[5])/3 + c[6] + (4*c[7])/3 + 
       5*c[8] - 2*c[9] - (26*c[10])/3 - (2*c[12])/3 + (2*c[14])/3 + 2*c[22] + 
       2*c[23] - (5*c[24])/3 - (20*c[25])/3 + (13*c[26])/2)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((-8*c[1])/3 + (2*c[2])/3 - (8*c[3])/3 - (26*c[5])/3 - (4*c[7])/3 - 
       2*c[9] + 6*c[10] + (2*c[12])/3 - (2*c[14])/3 - (4*c[24])/3 + 
       (8*c[25])/3)*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((21*c[1])/2 + 6*c[2] + (101*c[3])/3 + 8*c[5] + c[6] - 8*c[7] - 
       31*c[8] + 10*c[9] - 62*c[10] + 5*c[12] - 6*c[14] - 5*c[15] + 4*c[18] + 
       4*c[21] + 2*c[22] + 4*c[23] + 7*c[24] - c[25] - (31*c[26])/2)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((-11*c[1])/2 - 18*c[2] + (89*c[3])/3 + 24*c[5] - c[6] - 8*c[7] - 
       4*c[8] + 22*c[9] - (226*c[10])/3 + 5*c[12] - 6*c[14] - 5*c[15] + 
       4*c[18] + 4*c[21] - 2*c[22] - 12*c[23] + 3*c[24] - 9*c[25] + 
       (31*c[26])/2)*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((29*c[1])/2 - 18*c[2] + (109*c[3])/3 + 16*c[5] - 8*c[6] - 8*c[7] - 
       (35*c[8])/2 + 4*c[9] - 70*c[10] - 11*c[12] + 10*c[14] - 5*c[15] + 
       4*c[18] + 4*c[21] - 2*c[22] - 12*c[23] + 3*c[24] - 6*c[25] + 13*c[26])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-2*c[2] - 2*c[4] - 8*c[8] - 3*c[9] - c[25] + c[26])*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1}, 1 - v] + (-5*c[1] - (14*c[2])/3 + (2*c[3])/9 + 
       12*c[5] + 23*c[6] - 14*c[7] + (187*c[8])/3 - 3*c[9] - (62*c[10])/9 + 
       2*c[22] - 4*c[23] - 5*c[24] + (50*c[25])/3 - (19*c[26])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((2*c[3])/3 - 4*c[5] + 8*c[9] + (4*c[10])/3)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - v] + ((-5*c[1])/2 + 2*c[2] + (32*c[3])/3 - 
       13*c[5] - (7*c[6])/2 - 10*c[7] + 7*c[8] - (5*c[9])/2 - (14*c[10])/3 + 
       c[13] - 7*c[15] - 2*c[17] - 5*c[22] + c[23] - (5*c[24])/2 + 
       (11*c[25])/2 - c[26]/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v] + ((26*c[1])/3 + (10*c[2])/3 + (26*c[3])/3 - 
       (70*c[5])/3 - 22*c[6] + (34*c[7])/3 - 66*c[8] + 22*c[9] + 
       (34*c[10])/3 - (2*c[12])/3 + 4*c[13] + (2*c[14])/3 - 4*c[15] - 
       4*c[22] + 14*c[23] + (28*c[24])/3 - (32*c[25])/3 + 8*c[26])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-2*c[2] + 2*c[7] - 2*c[8] + 6*c[9] + (4*c[10])/3 - 2*c[12] + 2*c[14] + 
       2*c[23] - 4*c[25] + 4*c[26])*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - v] + ((5*c[1])/2 + 10*c[2] + (28*c[3])/3 - 
       15*c[5] + (7*c[6])/2 - 24*c[7] + 30*c[8] + (35*c[9])/2 + 
       (22*c[10])/3 + 9*c[13] - 19*c[15] - 2*c[17] - 4*c[19] - 7*c[22] + 
       5*c[23] + c[24]/2 - (33*c[25])/2 + (49*c[26])/4)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v] + ((5*c[1])/2 + 18*c[2] + 16*c[3] - 15*c[5] - 
       c[6]/2 - 24*c[7] + 34*c[8] + (51*c[9])/2 - (2*c[10])/3 + c[13] - 
       3*c[15] - 2*c[17] + 4*c[19] + c[22] + 5*c[23] + c[24]/2 + 
       (21*c[25])/2 + (9*c[26])/4)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v] + ((5*c[1])/2 + 10*c[2] + (52*c[3])/3 - 
       15*c[5] - (25*c[6])/2 - 24*c[7] - 34*c[8] - (77*c[9])/2 - 
       (2*c[10])/3 + 9*c[13] - 3*c[15] - 2*c[17] + 4*c[19] + c[22] + 
       5*c[23] - (7*c[24])/2 + (63*c[25])/2 - (55*c[26])/4)*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-c[1] - (4*c[2])/3 + (10*c[3])/9 - 2*c[4] - c[6] + 2*c[7] - 
       (7*c[8])/3 + 8*c[9] + (2*c[10])/9 - 2*c[22] - c[24] + c[25]/3 + 
       (7*c[26])/6)*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - w] + 
     (-c[1] + (10*c[2])/3 - (40*c[3])/9 - 6*c[5] + c[6] - 4*c[7] + 
       (22*c[8])/3 - 4*c[9] - (32*c[10])/9 + 2*c[14] + 2*c[15] + 2*c[22] + 
       2*c[23] + 3*c[24] - c[25]/3 - (7*c[26])/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w] + 
     ((-50*c[1])/3 + 14*c[2] + (29*c[3])/9 + (25*c[5])/3 + (35*c[6])/2 - 
       (70*c[7])/3 + (199*c[8])/3 - (17*c[9])/2 - (74*c[10])/9 - 
       (4*c[12])/3 - 3*c[13] - (5*c[14])/3 - 4*c[15] - 2*c[17] - c[22] - 
       c[23] - (29*c[24])/6 + (101*c[25])/6 - (29*c[26])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w] + 
     ((8*c[1])/3 - (2*c[2])/3 - (50*c[3])/3 - (76*c[5])/3 - 16*c[6] + 
       (22*c[7])/3 - 64*c[8] + 16*c[9] + (50*c[10])/3 + (4*c[12])/3 + 
       4*c[13] + (20*c[14])/3 + 4*c[15] - 4*c[22] + 8*c[23] + (22*c[24])/3 - 
       (8*c[25])/3 + 2*c[26])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + ((2*c[1])/3 - (8*c[2])/3 + (14*c[3])/3 - 
       (10*c[5])/3 + (10*c[7])/3 - 2*c[8] + 14*c[9] - 4*c[10] - (8*c[12])/3 + 
       (8*c[14])/3 + 6*c[23] + (4*c[24])/3 - (20*c[25])/3 + 6*c[26])*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w] + 
     (-15*c[1] + 36*c[2] - (53*c[3])/3 - 15*c[5] + (5*c[6])/2 - 24*c[7] + 
       42*c[8] + (41*c[9])/2 + (40*c[10])/3 - 2*c[12] - 3*c[13] + 9*c[14] + 
       2*c[15] - 2*c[17] - 4*c[19] - 7*c[22] + 5*c[23] + (3*c[24])/2 - 
       (33*c[25])/2 + (55*c[26])/4)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w] + (-39*c[1] + 20*c[2] - (49*c[3])/3 - 
       15*c[5] - (35*c[6])/2 - 20*c[7] - 42*c[8] - (71*c[9])/2 + 
       (16*c[10])/3 - 2*c[12] + 5*c[13] + 9*c[14] + 2*c[15] - 2*c[17] + 
       4*c[19] + c[22] + 9*c[23] - (5*c[24])/2 + (51*c[25])/2 - (49*c[26])/4)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (-17*c[1] + 36*c[2] - (73*c[3])/3 - 15*c[5] + (9*c[6])/2 - 24*c[7] + 
       54*c[8] + (45*c[9])/2 + (44*c[10])/3 + 2*c[12] - 3*c[13] + 5*c[14] + 
       2*c[15] - 2*c[17] + 4*c[19] + c[22] + 5*c[23] - c[24]/2 + 
       (31*c[25])/2 - (5*c[26])/4)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + (-3*c[1] + 4*c[2] + c[3]/3 - (7*c[6])/2 + 
       4*c[7] - (35*c[8])/4 - (15*c[9])/4 + (5*c[10])/3 + c[13] - c[15] + 
       c[17]/2 + c[19] - 4*c[22] - c[24] + 2*c[25] - c[26]/2)*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - u] + 
     (13*c[1] + 4*c[2] + 2*c[3] + 10*c[5] + 31*c[6] + (159*c[8])/2 + 
       (51*c[9])/2 - 10*c[10] - 2*c[13] + 4*c[15] + 2*c[20] + 12*c[22] - 
       4*c[24] - 2*c[25] + 5*c[26])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u] + ((-3*c[1])/2 + c[3]/3 - c[6]/2 - c[8]/2 + 
       11*c[9] - c[10]/3 - c[24]/2 + c[25]/2 + c[26]/4)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + (-3*c[1] + (20*c[2])/3 - (98*c[3])/9 - 
       4*c[5] + 27*c[6] + 6*c[7] + (149*c[8])/3 - 41*c[9] + (242*c[10])/9 - 
       2*c[12] - 4*c[14] + 2*c[15] - 4*c[18] + 6*c[20] - 16*c[21] + 4*c[22] + 
       22*c[23] - 4*c[24] + (16*c[25])/3 + (43*c[26])/6 + c[28]/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (9*c[1] + 4*c[2] - (62*c[3])/3 - 48*c[5] - 10*c[6] + 2*c[7] + 4*c[8] + 
       10*c[9] + 8*c[10] - 4*c[12] + 10*c[14] + 8*c[15] + 2*c[21] + 
       10*c[23] + 20*c[24] + c[25] - 14*c[26])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((-61*c[1])/6 + (23*c[2])/3 - (11*c[3])/3 - (17*c[5])/3 + 6*c[6] - 
       (34*c[7])/3 + 5*c[8] - (15*c[9])/2 + (7*c[10])/3 + c[11] + 
       (29*c[12])/3 - (26*c[14])/3 - c[18]/2 - c[21] - 9*c[23] - 
       (19*c[24])/3 + (145*c[25])/6 - (31*c[26])/2)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + (2*c[1] + 16*c[2] - (104*c[3])/3 - 54*c[5] + 
       42*c[6] - 2*c[7] + 136*c[8] - 102*c[9] + (46*c[10])/3 + 2*c[12] - 
       4*c[13] - 2*c[14] + 14*c[15] - 6*c[18] + 2*c[20] - 12*c[21] + 
       28*c[23] + 11*c[24] - 29*c[25] + 13*c[26] + c[28]/6)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-2*c[1] + 8*c[2] - 32*c[3] - 52*c[5] + 27*c[6] - 6*c[7] + 
       (227*c[8])/2 - (199*c[9])/2 + (38*c[10])/3 - 2*c[12] - 4*c[15] - 
       4*c[18] + 4*c[20] - 16*c[21] + 6*c[22] + 36*c[23] + 17*c[24] - 
       2*c[25] - 16*c[26] + c[28]/6)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u] + (15*c[1] - 10*c[2] - (62*c[3])/3 - 56*c[5] + 
       34*c[6] + 12*c[7] + (231*c[8])/2 - (173*c[9])/2 + (50*c[10])/3 - 
       4*c[12] - 2*c[13] + 4*c[14] - 5*c[18] + 6*c[20] - 16*c[21] + 6*c[22] + 
       42*c[23] + 20*c[24] - 5*c[25] - (19*c[26])/2 + c[28]/6)*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (15*c[1] - (2*c[2])/3 - (19*c[3])/9 + (5*c[6])/2 - 4*c[7] + 
       (271*c[8])/12 - (75*c[9])/4 + (25*c[10])/9 - c[13] + c[15] + c[17]/2 - 
       c[19] + 6*c[22] + 5*c[24] - (25*c[25])/3 + (5*c[26])/6)*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-9*c[1] - 38*c[2] + 2*c[5] + 12*c[6] + 20*c[7] + 28*c[8] - 16*c[9] - 
       (70*c[10])/3 + 2*c[12] - 2*c[13] + 2*c[15] - 2*c[22] - 10*c[24] - 
       13*c[25] + 13*c[26])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v] + ((3*c[1])/2 - c[3]/3 + c[6]/2 + c[8]/2 - 
       3*c[9] + (13*c[10])/3 + c[24]/2 - c[25]/2 - c[26]/4)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - v] + ((2*c[1])/3 + (104*c[2])/3 - (70*c[3])/9 + 
       (68*c[5])/3 + 16*c[6] + (52*c[7])/3 + (193*c[8])/3 - 6*c[9] + 
       (130*c[10])/9 - (14*c[12])/3 + 2*c[13] - (28*c[14])/3 - c[18] + 
       4*c[20] - 22*c[21] + 2*c[22] + 14*c[23] - (35*c[24])/3 + 5*c[25] + 
       (49*c[26])/3 + c[28]/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + (-c[1] - (64*c[3])/3 - 12*c[5] - 5*c[6] + 
       2*c[7] + 5*c[8] + 16*c[9] - (44*c[10])/3 - 2*c[12] - 2*c[13] + 
       14*c[14] + 10*c[15] + c[18] - 2*c[21] + 20*c[23] + 19*c[24] - 
       15*c[25] + (9*c[26])/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + ((19*c[1])/6 - (5*c[2])/3 - 5*c[3] - 
       (10*c[5])/3 - 2*c[6] + (4*c[7])/3 - 3*c[8] + (33*c[9])/2 + 10*c[10] + 
       c[11] - (11*c[12])/3 + (14*c[14])/3 - c[18]/2 + c[21] - 3*c[23] - 
       (5*c[24])/3 - (31*c[25])/6 + (7*c[26])/2)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - v] + (9*c[1] - 2*c[2] - 30*c[3] - 40*c[5] + 
       21*c[6] + 16*c[7] + 88*c[8] - 74*c[9] - 10*c[10] + 4*c[12] - 8*c[14] + 
       20*c[15] - 2*c[18] + 6*c[20] - 26*c[21] + 16*c[22] + 60*c[23] + 
       18*c[24] - 51*c[25] + (41*c[26])/2 + c[28]/6)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v] + (-5*c[1] - 22*c[2] - (110*c[3])/3 - 
       22*c[5] + 10*c[6] + 20*c[7] - (3*c[8])/2 - (171*c[9])/2 - 18*c[10] + 
       4*c[13] - 6*c[14] + 2*c[15] + 4*c[20] - 22*c[21] + 18*c[22] + 
       36*c[23] + 24*c[24] - 13*c[25] - (15*c[26])/2 + c[28]/6)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (4*c[1] - 28*c[2] - 40*c[3] - 34*c[5] + 34*c[6] + 2*c[7] + 110*c[8] - 
       (73*c[9])/2 - (74*c[10])/3 - 18*c[12] - 2*c[13] + 14*c[14] - 2*c[15] - 
       c[18] + 2*c[20] - 22*c[21] + 18*c[22] + 26*c[23] + 15*c[24] - 
       38*c[25] + (35*c[26])/2 + c[28]/6)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + (-6*c[1] + (8*c[2])/3 + (31*c[3])/9 - 
       (19*c[6])/2 + 6*c[7] - (61*c[8])/12 + (121*c[9])/4 + (23*c[10])/9 + 
       c[13] + c[15] + c[17]/2 + 3*c[19] - 4*c[22] - 2*c[24] + (7*c[25])/3 + 
       (2*c[26])/3)*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     (15*c[1] - 14*c[2] - (22*c[3])/3 + 30*c[6] + (157*c[8])/2 - 
       (51*c[9])/2 - 4*c[10] + 18*c[22] + c[24] - 24*c[25] + (21*c[26])/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 
     ((-3*c[1])/2 + c[3]/3 - c[6]/2 - c[8]/2 + 11*c[9] + (5*c[10])/3 - 
       c[24]/2 + c[25]/2 + c[26]/4)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - w] + ((73*c[1])/3 - (34*c[2])/3 - (2*c[3])/3 + 
       (52*c[5])/3 + c[6] + (116*c[7])/3 - (33*c[8])/2 + (91*c[9])/2 + 
       (52*c[10])/3 - (28*c[12])/3 - 6*c[13] - (2*c[14])/3 - 4*c[15] - 
       c[18] + 6*c[20] - 26*c[21] + 2*c[22] + 34*c[23] - (19*c[24])/3 - 
       (61*c[25])/3 + 32*c[26] + c[28]/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + (3*c[1] + 10*c[2] - (32*c[3])/3 - 32*c[5] + 
       10*c[6] - 14*c[7] + 11*c[8] - 11*c[9] + (22*c[10])/3 + 12*c[12] - 
       2*c[14] + 2*c[15] + 2*c[20] + 2*c[21] - 2*c[23] + 10*c[24] + 
       21*c[25] - 28*c[26])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + ((9*c[1])/2 - 7*c[2] - (5*c[3])/3 - 5*c[5] - 
       3*c[6] + 6*c[7] - 4*c[8] + (21*c[9])/2 + (25*c[10])/3 - c[11] - 
       3*c[12] + 2*c[14] - c[18]/2 - c[21] + 5*c[23] + 2*c[24] - 
       (19*c[25])/2 + 5*c[26])*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     (36*c[1] - 12*c[2] + (8*c[3])/3 - 40*c[5] + 16*c[6] + 16*c[7] + 
       58*c[8] - 65*c[9] - (20*c[10])/3 - 2*c[12] - 4*c[13] - 12*c[14] - 
       2*c[15] - 2*c[18] + 6*c[20] - 30*c[21] + 16*c[22] + 62*c[23] + 
       17*c[24] - 43*c[25] + 17*c[26] + c[28]/6)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w] + (30*c[1] - 16*c[2] - 8*c[3] - 24*c[5] + 
       29*c[6] + 8*c[7] + (237*c[8])/2 - (85*c[9])/2 - 22*c[10] - 2*c[12] - 
       8*c[13] - 10*c[14] - 4*c[15] + 4*c[20] - 18*c[21] + 18*c[22] + 
       26*c[23] + 19*c[24] - 34*c[25] + 13*c[26] + c[28]/6)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (43*c[1] - 26*c[2] + 2*c[3] - 32*c[5] + 3*c[6] + 18*c[7] + 12*c[8] - 
       (175*c[9])/2 - (14*c[10])/3 - 16*c[12] - 2*c[13] + 2*c[14] - 8*c[15] - 
       c[18] + 2*c[20] - 34*c[21] + 18*c[22] + 60*c[23] + 20*c[24] - 
       24*c[25] + 7*c[26] + c[28]/6)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + ((9*c[1])/2 + 7*c[2] - c[3]/3 - 2*c[4] + 
       (3*c[6])/2 - 3*c[7] - c[8]/2 - (3*c[9])/2 + c[10]/3 + 3*c[22] + 
       (3*c[24])/2 - c[25] - (5*c[26])/4)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1, 1}, 1 - u] + (9*c[1] + 2*c[2] - (8*c[3])/3 + 3*c[6] - 
       6*c[7] + 5*c[8] - 18*c[9] - (4*c[10])/3 + 6*c[22] + 3*c[24] - 
       5*c[25] + c[26]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + (-10*c[1] + 18*c[2] - (20*c[3])/3 - c[5] + 
       27*c[6] - 25*c[7] + 51*c[8] - 8*c[9] + 4*c[12] - 4*c[14] - 8*c[15] - 
       2*c[17] - 7*c[19] + 10*c[22] - 9*c[23] - 5*c[24] + 15*c[25] - 8*c[26])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     ((-3*c[1])/2 + 8*c[2] - (22*c[3])/3 - 11*c[5] - 12*c[6] + 4*c[7] - 
       71*c[8] + 18*c[9] + (41*c[10])/3 + 2*c[12] + 4*c[13] + c[14] - c[15] - 
       7*c[22] - 3*c[23] + 4*c[24] + 10*c[25] - 10*c[26])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (8*c[1] - 2*c[2] - 2*c[3] + 2*c[5] + 2*c[6] + 4*c[7] + 6*c[9] + 
       2*c[10] - 2*c[12] + 2*c[14] + 4*c[24] - 8*c[25])*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - u] + ((-11*c[1])/2 + 10*c[2] - (50*c[3])/3 - 
       9*c[5] - (39*c[6])/2 - 13*c[7] - (43*c[8])/4 - (203*c[9])/4 + 
       (83*c[10])/3 + 4*c[13] + 3*c[14] - 11*c[15] - 2*c[17] - 14*c[19] + 
       12*c[22] + 3*c[23] - c[24] - 10*c[25] + (19*c[26])/2)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u] + 
     ((-11*c[1])/2 - 4*c[2] - 13*c[3] - 9*c[5] - 13*c[7] - 24*c[8] - 
       49*c[9] + 8*c[10] - 4*c[13] + 3*c[14] - 4*c[15] - 2*c[17] - 3*c[19] + 
       10*c[22] + 3*c[23] - c[24] + 8*c[25] - (11*c[26])/2)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     ((-11*c[1])/2 + 20*c[2] - 5*c[3] - 9*c[5] - 2*c[6] - 13*c[7] - 
       (111*c[8])/2 + 53*c[9] + 8*c[10] + 12*c[13] + 3*c[14] - 4*c[15] - 
       2*c[17] - 3*c[19] + 10*c[22] + 3*c[23] - c[24] - c[25] + 2*c[26])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (2*c[1] + 6*c[2] + 9*c[9] + 3*c[25] - 3*c[26])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1, 1}, 1 - v] + ((9*c[1])/2 + 7*c[2] - (4*c[3])/3 - 3*c[5] + 
       (3*c[6])/2 - 3*c[7] - (7*c[8])/2 - (3*c[9])/2 + (10*c[10])/3 + 
       3*c[22] + (3*c[24])/2 - 4*c[25] + (7*c[26])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((7*c[1])/2 - 11*c[2] - (7*c[3])/3 + 9*c[5] + 8*c[6] - 8*c[7] + 7*c[8] - 
       (21*c[9])/2 - 14*c[10] - c[14] - c[15] + 5*c[22] - c[23] + 4*c[24] - 
       3*c[25] - (3*c[26])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + (-c[1] + 7*c[2] - 5*c[3] - c[5] + 3*c[6] - 
       5*c[7] + 3*c[8] - 9*c[9] + 3*c[10] + c[12] - c[14] - 9*c[23] - 
       2*c[24] + 10*c[25] - 9*c[26])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + (6*c[2] - 3*c[3] - (5*c[5])/2 + 6*c[6] - 
       6*c[7] + 6*c[8] - 18*c[9] - (11*c[10])/6 + 6*c[12] - 6*c[14] - 
       6*c[23] + 12*c[25] - 12*c[26])*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - v] + (-8*c[1] - 6*c[2] + (4*c[3])/3 + 3*c[5] + 
       (3*c[6])/2 - 2*c[7] + c[8]/2 + 5*c[9] - (35*c[10])/3 - c[14] - c[15] - 
       c[22] - c[23] + (3*c[24])/2 + 5*c[25] - (11*c[26])/4)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((57*c[1])/2 + 2*c[2] - (13*c[3])/3 + 3*c[5] + 10*c[6] - 2*c[7] + 
       7*c[8] - 48*c[9] + (28*c[10])/3 - c[14] - c[15] - c[22] - c[23] + 
       10*c[24] - (7*c[25])/2 - 10*c[26])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v] + (-4*c[1] - 6*c[2] + (4*c[3])/3 + 3*c[5] + 
       (3*c[6])/2 - 2*c[7] - (7*c[8])/2 - c[9] - (29*c[10])/3 - c[14] - 
       c[15] - c[22] - c[23] + (3*c[24])/2 - c[25] - (11*c[26])/4)*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (9*c[1] + 4*c[2] - (10*c[3])/3 + (3*c[6])/2 - 6*c[7] + 7*c[8] - 
       24*c[9] - (2*c[10])/3 + 6*c[22] + 3*c[24] - c[25] - (7*c[26])/2)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - w] + 
     (-c[1]/2 - 18*c[2] + 8*c[3] + 21*c[5] - 4*c[6] + 4*c[7] - 26*c[8] + 
       19*c[9] - 7*c[10] - 3*c[14] - 3*c[15] - 7*c[22] - 7*c[23] - 10*c[24] + 
       9*c[25] + 3*c[26])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w] + ((2*c[3])/3 - 4*c[5] + (7*c[10])/3)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((19*c[1])/2 + 21*c[2] + (19*c[3])/3 + 2*c[5] + (25*c[6])/2 - 5*c[7] + 
       (27*c[8])/2 - 19*c[9] - 20*c[10] + 4*c[12] - 4*c[14] + 3*c[22] - 
       6*c[23] - (3*c[24])/2 + c[25] - (9*c[26])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (c[1] + 2*c[2] - (2*c[3])/3 + 4*c[5] + 2*c[7] - (22*c[10])/3 - 4*c[12] + 
       4*c[14] + 2*c[24] - 4*c[25])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w] + (-c[1] + 4*c[2] - (19*c[3])/3 - c[5] + 
       3*c[6] - 5*c[7] + 3*c[8] - 9*c[9] + (19*c[10])/3 + 4*c[12] - 4*c[14] - 
       9*c[23] - 2*c[24] + 10*c[25] - 9*c[26])*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - w] + (-24*c[1] - 12*c[2] + (28*c[3])/3 + 3*c[5] + 
       (9*c[6])/2 - 2*c[7] - (47*c[8])/2 + 14*c[9] - (41*c[10])/3 + 6*c[12] - 
       21*c[14] - 3*c[15] - 12*c[21] - c[22] + 2*c[23] - (21*c[24])/2 + 
       38*c[25] - (83*c[26])/4)*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (24*c[1] - 12*c[2] + 18*c[3] + 6*c[5] + (9*c[6])/2 - 14*c[7] - 
       (31*c[8])/2 - 40*c[9] - (148*c[10])/3 + 6*c[12] + 3*c[14] - 3*c[15] + 
       12*c[21] - c[22] - 10*c[23] + (27*c[24])/2 - 22*c[25] + (13*c[26])/4)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((75*c[1])/2 - 19*c[2] + (37*c[3])/3 + 15*c[5] + (11*c[6])/2 - 2*c[7] - 
       (31*c[8])/2 - (105*c[9])/2 - 43*c[10] + 3*c[11] - 9*c[12] + 21*c[14] - 
       3*c[15] + (3*c[18])/2 + 28*c[21] - c[22] - 49*c[23] + (47*c[24])/2 - 
       (45*c[25])/2 - (51*c[26])/4)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w] + (-3*c[1] - (62*c[2])/3 - (46*c[3])/9 - 
       c[6] + 2*c[7] + c[8]/3 + c[9] - (2*c[10])/9 - 2*c[22] - c[24] + 
       (8*c[25])/3 - (7*c[26])/6)*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 
       1 - u] + ((2*c[1])/3 - (14*c[2])/3 - 16*c[3] - (100*c[5])/3 - 2*c[6] + 
       (16*c[7])/3 - 2*c[8] + 10*c[9] + (64*c[10])/3 - (8*c[12])/3 + 
       (8*c[14])/3 + 6*c[23] + (4*c[24])/3 - (26*c[25])/3 + 8*c[26])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     (-3*c[1] - (14*c[2])/3 + (2*c[3])/9 - c[6] + 2*c[7] + (49*c[8])/3 + 
       c[9] - (2*c[10])/9 + 8*c[16] + 8*c[19] - 2*c[22] - c[24] + 
       (8*c[25])/3 - (7*c[26])/6)*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 
       1 - v] + ((2*c[1])/3 - (14*c[2])/3 + 8*c[3] - (4*c[5])/3 - 2*c[6] + 
       (16*c[7])/3 - 18*c[8] + 10*c[9] - (16*c[10])/3 - (8*c[12])/3 + 
       (8*c[14])/3 + 6*c[23] + (4*c[24])/3 - (26*c[25])/3 + 8*c[26])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     (29*c[1] - (14*c[2])/3 + (2*c[3])/9 - 8*c[4] - c[6] + 2*c[7] + c[8]/3 + 
       c[9] - (2*c[10])/9 - 2*c[22] - c[24] + (8*c[25])/3 - (7*c[26])/6)*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     ((2*c[1])/3 - (14*c[2])/3 + (8*c[3])/3 - (4*c[5])/3 - 2*c[6] + 
       (16*c[7])/3 - 18*c[8] + 10*c[9] - (16*c[10])/3 - (8*c[12])/3 + 
       8*c[13] + (8*c[14])/3 + 6*c[23] + (4*c[24])/3 - (26*c[25])/3 + 
       8*c[26])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     (37*c[1] - (14*c[2])/3 + (2*c[3])/9 - 7*c[6] + 22*c[7] - (263*c[8])/3 + 
       21*c[9] + (274*c[10])/9 - 12*c[12] + 36*c[13] + 10*c[22] + 17*c[24] - 
       (94*c[25])/3 + (35*c[26])/6)*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 
       1 - u] + ((-220*c[1])/3 - (50*c[2])/3 + (16*c[3])/3 + (44*c[5])/3 + 
       6*c[6] - (56*c[7])/3 + 14*c[8] + 102*c[9] - (112*c[10])/3 + 12*c[11] + 
       (16*c[12])/3 - (76*c[14])/3 + 4*c[18] - 32*c[21] - 30*c[23] - 
       (104*c[24])/3 + (238*c[25])/3 - 10*c[26])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1, 1}, 1 - u] + (-3*c[1] + (250*c[2])/3 - (286*c[3])/9 + 
       13*c[6] - 54*c[7] + (49*c[8])/3 - 37*c[9] - (2*c[10])/9 + 12*c[12] - 
       8*c[13] - 48*c[20] + 10*c[22] - 7*c[24] + (68*c[25])/3 - 
       (73*c[26])/6 - 6*c[27])*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     ((92*c[1])/3 + (214*c[2])/3 + (8*c[3])/3 + (20*c[5])/3 + 62*c[6] - 
       (8*c[7])/3 + 46*c[8] - 12*c[9] + 20*c[10] - 60*c[11] + (40*c[12])/3 - 
       (148*c[14])/3 + 12*c[20] + 32*c[21] - 110*c[23] + (40*c[24])/3 + 
       (136*c[25])/3 - 76*c[26])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 
       1 - v] + (5*c[1] - (2*c[2])/3 + (86*c[3])/9 - 5*c[6] + 2*c[7] - 
       (29*c[8])/3 + 45*c[9] - (86*c[10])/9 + 8*c[13] - 2*c[17] - 4*c[19] + 
       6*c[22] + 3*c[24] - (22*c[25])/3 + (17*c[26])/6)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1}, 1 - w] + ((92*c[1])/3 - (110*c[2])/3 - 
       (160*c[3])/3 + (20*c[5])/3 + 62*c[6] - (8*c[7])/3 + 46*c[8] - 
       12*c[9] + 20*c[10] + (4*c[12])/3 - 12*c[13] + (20*c[14])/3 + 
       12*c[20] + 32*c[21] - 110*c[23] + (40*c[24])/3 + (136*c[25])/3 - 
       76*c[26])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w] + 
     (19*c[1] - 2*c[2] - (2*c[3])/3 - 5*c[6] + 10*c[7] - 31*c[8] + 3*c[9] + 
       14*c[10] - 4*c[12] + 16*c[13] + 6*c[22] + 7*c[24] - 13*c[25] + 
       (5*c[26])/2)*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     (-34*c[1] - 10*c[2] + (8*c[3])/3 + 12*c[5] + 2*c[6] - 8*c[7] + 10*c[8] + 
       52*c[9] - (64*c[10])/3 + 4*c[11] - 8*c[14] + 4*c[18] - 12*c[21] - 
       18*c[23] - 13*c[24] + 35*c[25] - 5*c[26])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - u] + (3*c[1] + 38*c[2] - 14*c[3] + 7*c[6] - 
       26*c[7] + 8*c[8] - 11*c[9] - (8*c[10])/3 + 4*c[12] - 4*c[13] - 
       16*c[20] + 6*c[22] - c[24] + 4*c[25] - (5*c[26])/2 - 2*c[27])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v] + 
     (12*c[1] + 30*c[2] - 3*c[3] + 3*c[5] + 26*c[6] - 7*c[7] + 18*c[8] - 
       18*c[9] + (23*c[10])/3 - 20*c[11] + 7*c[12] - 23*c[14] + 4*c[20] + 
       12*c[21] - 50*c[23] + 4*c[24] + 27*c[25] - 39*c[26])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 0, 1}, 1 - v] + (-c[1] + c[2] + (11*c[3])/3 - 3*c[6] - 
       10*c[7] + 3*c[8] + 10*c[9] - 10*c[10] + 4*c[13] - 2*c[17] - 4*c[19] + 
       2*c[22] + c[24] - 2*c[25] + c[26]/2)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 0, 1}, 1 - w] + (12*c[1] - 7*c[2] - (71*c[3])/3 + 
       3*c[5] + 26*c[6] - 7*c[7] + 18*c[8] - 18*c[9] + (23*c[10])/3 + 
       4*c[12] - 4*c[13] + 4*c[20] + 12*c[21] - 50*c[23] + 4*c[24] + 
       27*c[25] - 39*c[26])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w] + 
     (18*c[1] - 22*c[2] - (50*c[3])/3 - 24*c[6] - 42*c[7] + 77*c[8] - 
       105*c[9] + (86*c[10])/3 - 4*c[13] - 6*c[17] - 12*c[19] + 42*c[22] + 
       6*c[24] - 8*c[25] - c[26])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 
       1 - u] + (45*c[1] + 98*c[2] - 24*c[3] + 4*c[5] + 46*c[6] - 112*c[7] + 
       342*c[8] - 12*c[9] - 124*c[10] + 8*c[12] - 12*c[13] + 64*c[14] + 
       36*c[18] - 12*c[20] + 108*c[21] + 132*c[22] - 132*c[23] + 32*c[24] - 
       100*c[25] + 37*c[26] - c[28])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - u] + (3*c[1] + 56*c[2] - (50*c[3])/3 + 
       51*c[6] - 84*c[7] + 98*c[8] - 6*c[9] - (134*c[10])/3 - 36*c[13] + 
       12*c[22] + 21*c[24] - 26*c[25] - (11*c[26])/2)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - v] + (25*c[1] + 32*c[2] + 6*c[3] + 58*c[5] + 
       27*c[6] - 40*c[7] + 39*c[8] - 135*c[9] - (200*c[10])/3 + 8*c[12] - 
       8*c[14] + 6*c[18] + 60*c[21] - 132*c[23] + 23*c[24] + 50*c[25] - 
       (165*c[26])/2)*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     (-45*c[1] + 182*c[2] - (44*c[3])/3 - 144*c[5] + 165*c[6] - 150*c[7] + 
       368*c[8] - 216*c[9] - 180*c[10] + 60*c[12] + 12*c[13] + 48*c[14] + 
       48*c[15] + 6*c[18] - 24*c[20] + 168*c[21] + 18*c[22] - 192*c[23] + 
       33*c[24] - 32*c[25] - (233*c[26])/2 - c[28])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - w] + (28*c[1] + 62*c[2] - (10*c[3])/3 + 
       58*c[5] + 27*c[6] - 40*c[7] + 39*c[8] - 135*c[9] - (200*c[10])/3 + 
       12*c[11] + 20*c[12] + 16*c[14] + 6*c[18] + 60*c[21] - 132*c[23] + 
       23*c[24] + 50*c[25] - (165*c[26])/2)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1, 1}, 1 - w] + ((9*c[1])/2 - (17*c[2])/3 - (37*c[3])/9 - 
       (25*c[6])/2 - 13*c[7] + (83*c[8])/6 - (53*c[9])/2 + (85*c[10])/9 - 
       2*c[17] - 4*c[19] + 13*c[22] + (3*c[24])/2 - c[25]/3 - (23*c[26])/12)*
      HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     ((56*c[1])/3 + (91*c[2])/3 - 4*c[3] + (2*c[5])/3 + 9*c[6] - 
       (104*c[7])/3 + 113*c[8] - 5*c[9] - (140*c[10])/3 + (4*c[12])/3 - 
       4*c[13] + (80*c[14])/3 + 12*c[18] - 4*c[20] + 40*c[21] + 44*c[22] - 
       41*c[23] + (43*c[24])/3 - (146*c[25])/3 + 24*c[26] - c[28]/3)*
      HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     (-c[1]/2 + (61*c[2])/3 - (37*c[3])/9 + (25*c[6])/2 - 27*c[7] + 
       (119*c[8])/6 + (13*c[9])/2 - (113*c[10])/9 - 8*c[13] + 3*c[22] + 
       (13*c[24])/2 - (22*c[25])/3 - (29*c[26])/12)*HPL[{1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + ((2*c[1])/3 + (25*c[2])/3 + c[3]/3 + 
       (53*c[5])/3 + 8*c[6] - (29*c[7])/3 + 12*c[8] - 30*c[9] - 
       (53*c[10])/3 + c[12]/3 - (13*c[14])/3 + 2*c[18] + 16*c[21] - 
       41*c[23] + (13*c[24])/3 + (70*c[25])/3 - (53*c[26])/2)*HPL[{1}, 1 - w]*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + ((-33*c[1])/2 + (160*c[2])/3 - 
       (28*c[3])/9 - 48*c[5] + (117*c[6])/2 - 49*c[7] + (809*c[8])/6 - 
       (153*c[9])/2 - (557*c[10])/9 + 20*c[12] + 16*c[14] + 16*c[15] + 
       2*c[18] - 8*c[20] + 56*c[21] + 5*c[22] - 64*c[23] + (21*c[24])/2 - 
       (28*c[25])/3 - (473*c[26])/12 - c[28]/3)*HPL[{1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - w] + ((5*c[1])/3 + (52*c[2])/3 - c[3]/3 + 
       (53*c[5])/3 + 8*c[6] - (29*c[7])/3 + 12*c[8] - 30*c[9] - 
       (53*c[10])/3 + 4*c[11] + (16*c[12])/3 + (8*c[14])/3 + 2*c[18] + 
       16*c[21] - 41*c[23] + (13*c[24])/3 + (70*c[25])/3 - (53*c[26])/2)*
      HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w] + 
     8*c[4]*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u] + 
     (-24*c[2] + 8*c[3] - 32*c[6] + 40*c[7] - 56*c[8] + 48*c[9] + 8*c[10] + 
       16*c[15] + 4*c[17] + 8*c[19] - 24*c[22])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1, 1}, 1 - u] - 8*c[1]*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1}, 1 - v] + (-24*c[2] + 8*c[3] - 12*c[6] - 12*c[8] + 
       24*c[9] + 8*c[10] - 12*c[24] + 4*c[25] + 14*c[26])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1}, 1 - w] + ((-112*c[3])/3 - 64*c[5] + (128*c[10])/3)*
      HPL[{0, 0, 0, 0, 0, 1}, 1 - u] - 16*c[4]*HPL[{0, 0, 0, 0, 0, 1}, 
       1 - v] + (64*c[1] - 16*c[4])*HPL[{0, 0, 0, 0, 0, 1}, 1 - w] + 
     (-40*c[1] - 40*c[2] + (8*c[3])/3 - 16*c[5] + 8*c[6] + 8*c[7] - 8*c[8] + 
       68*c[9] - (32*c[10])/3 + 12*c[11] + 4*c[12] - 32*c[14] - 8*c[18] - 
       64*c[21] + 80*c[23] - 16*c[24] + 4*c[25] + 44*c[26])*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - u] + (-8*c[2] + 16*c[3] - 52*c[6] + 
       28*c[7] + 54*c[8] - 26*c[9] - (44*c[10])/3 + 12*c[11] + 8*c[13] + 
       16*c[15] + 4*c[17] - 4*c[19] - 12*c[20] + 8*c[22] + 4*c[24] - 6*c[25])*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - v] + (20*c[1] - 28*c[2] + (8*c[3])/3 + 
       24*c[6] + 40*c[7] + 44*c[8] + 58*c[9] - (32*c[10])/3 + 20*c[13] + 
       4*c[17] - 4*c[19] + 8*c[22] + 4*c[24] - 6*c[25])*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - w] + (-15*c[1] - 22*c[2] + (10*c[3])/3 + 
       6*c[7] + 45*c[9] - (32*c[10])/3 + 3*c[11] - 3*c[12] - 8*c[14] - 
       24*c[21] + 32*c[23] - 2*c[24] - c[25] + 16*c[26])*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - u] + (-2*c[2] + (46*c[3])/3 - 24*c[6] - 
       3*c[7] + (63*c[8])/2 - (27*c[9])/2 - 13*c[10] + 3*c[11] - 3*c[19] - 
       3*c[20] + (3*c[25])/2 - (3*c[26])/2)*HPL[{0, 0, 0, 1, 0, 1}, 1 - v] + 
     (-11*c[2] + (2*c[3])/3 + 5*c[6] + 27*c[8] + (31*c[9])/2 - 12*c[10] + 
       11*c[13] - 3*c[19] + (3*c[25])/2 - (3*c[26])/2)*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - w] + (-33*c[1] + 48*c[2] + 4*c[3] - 
       16*c[6] - 96*c[7] + 378*c[8] + 348*c[9] - 60*c[10] + 12*c[12] - 
       48*c[13] + 12*c[14] + 36*c[18] - 12*c[20] + 24*c[21] + 36*c[22] - 
       24*c[23] - 12*c[24] + 36*c[25] - 39*c[26] - c[28])*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - u] + (6*c[1] - 54*c[2] + 126*c[3] - 
       204*c[5] + 54*c[6] - 156*c[7] + 153*c[8] + 135*c[9] - 156*c[10] + 
       48*c[12] - 24*c[13] + 36*c[14] + 48*c[15] - 24*c[20] + 144*c[21] - 
       168*c[23] - 54*c[24] - 18*c[25] - 18*c[26] - c[28])*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - v] + (-150*c[1] + 168*c[2] + 138*c[3] - 
       144*c[5] - 12*c[6] - 168*c[7] + 195*c[8] + 117*c[9] - 206*c[10] + 
       60*c[12] + 84*c[13] + 12*c[14] + 48*c[15] + 6*c[18] - 36*c[20] + 
       120*c[21] - 72*c[23] - 60*c[24] - 6*c[25] + 21*c[26] - c[28])*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - w] + (-15*c[1] + 6*c[2] + 8*c[3] - 8*c[6] - 
       32*c[7] + 130*c[8] + 168*c[9] - (76*c[10])/3 + 4*c[12] - 24*c[13] + 
       4*c[14] + 12*c[18] - 4*c[20] + 8*c[21] - 4*c[22] - 8*c[23] - 4*c[24] + 
       12*c[25] - 13*c[26] - c[28]/3)*HPL[{0, 0, 1, 0, 1, 1}, 1 - u] + 
     (-22*c[1] - 22*c[2] + (142*c[3])/3 - 68*c[5] + 10*c[6] - 52*c[7] + 
       43*c[8] + 73*c[9] - 56*c[10] + 16*c[12] - 8*c[13] + 12*c[14] + 
       16*c[15] - 8*c[20] + 48*c[21] - 56*c[23] - 26*c[24] - 6*c[25] + 
       6*c[26] - c[28]/3)*HPL[{0, 0, 1, 0, 1, 1}, 1 - v] + 
     (-63*c[1] + 40*c[2] + (200*c[3])/3 - 48*c[5] - 18*c[6] - 56*c[7] + 
       55*c[8] + 79*c[9] - (220*c[10])/3 + 20*c[12] + 28*c[13] - 2*c[14] + 
       16*c[15] + 2*c[18] - 12*c[20] + 32*c[21] - 4*c[23] - 34*c[24] + 
       30*c[26] - c[28]/3)*HPL[{0, 0, 1, 0, 1, 1}, 1 - w] + 
     (-8*c[1] - 10*c[2] + (4*c[3])/3 + 8*c[6] + 4*c[8] + 64*c[9] + 
       (16*c[10])/3 - 8*c[13] - 8*c[14] - 8*c[21] - 16*c[22] - 6*c[24] + 
       22*c[25] - 17*c[26])*HPL[{0, 0, 1, 1, 0, 1}, 1 - u] + 
     (-24*c[1] - 10*c[2] + (13*c[3])/3 - c[5] - 16*c[6] - 32*c[8] + 43*c[9] + 
       3*c[10] - 8*c[24] + 12*c[26])*HPL[{0, 0, 1, 1, 0, 1}, 1 - v] + 
     (-13*c[1] - 8*c[2] + (52*c[3])/3 - 22*c[6] - 32*c[8] + 51*c[9] + 
       (2*c[10])/3 + 8*c[13] - 6*c[14] - 8*c[21] + 20*c[23] - 14*c[24] + 
       2*c[25] + 23*c[26])*HPL[{0, 0, 1, 1, 0, 1}, 1 - w] + 
     (8*c[2] + (196*c[3])/3 - 6*c[6] + 40*c[7] - 145*c[8] + 455*c[9] - 
       60*c[10] + 24*c[13] + 4*c[15] + 4*c[17] + 20*c[19] - 88*c[22])*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - u] + (-170*c[1] - 16*c[2] + (100*c[3])/3 - 
       50*c[6] - 50*c[8] + 196*c[9] - (164*c[10])/3 - 50*c[24] + 10*c[25] + 
       65*c[26])*HPL[{0, 0, 1, 1, 1, 1}, 1 - v] + 
     (-210*c[1] - 100*c[2] + (164*c[3])/3 - 60*c[5] - 44*c[6] - 56*c[8] + 
       370*c[9] + 84*c[10] - 12*c[11] + 12*c[12] - 120*c[14] - 6*c[18] - 
       160*c[21] + 180*c[23] - 152*c[24] + 182*c[25] + 76*c[26])*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - w] + (8*c[2] + (43*c[3])/3 + (13*c[6])/2 - 
       (89*c[8])/4 + (407*c[9])/4 - 17*c[10] + 8*c[13] - 3*c[15] + 3*c[19] - 
       16*c[22])*HPL[{0, 1, 0, 1, 1, 1}, 1 - u] + 
     ((-87*c[1])/2 - 10*c[2] + (19*c[3])/3 - (19*c[6])/2 - (19*c[8])/2 + 
       43*c[9] - (43*c[10])/3 - (19*c[24])/2 + (3*c[25])/2 + (51*c[26])/4)*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - v] + ((-105*c[1])/2 - 19*c[2] + 
       (35*c[3])/3 - 15*c[5] - 8*c[6] - 11*c[8] + (173*c[9])/2 + 19*c[10] - 
       3*c[11] + 3*c[12] - 30*c[14] - (3*c[18])/2 - 40*c[21] + 45*c[23] - 
       35*c[24] + (89*c[25])/2 + (31*c[26])/2)*HPL[{0, 1, 0, 1, 1, 1}, 
       1 - w] - 16*c[4]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u] + 
     (10*c[3] - 10*c[10])*HPL[{0, 1, 1, 1, 1, 1}, 1 - w] + 
     ((-3*c[1])/2 - (2*c[2])/3 - c[3]/9 - c[6]/2 + 2*c[7] - (7*c[8])/6 + 
       5*c[9] + (13*c[10])/9 - c[22] - c[24]/2 + c[25]/6 + (7*c[26])/12)*
      HPL[{1}, 1 - u]*M1[u, v, w] + ((2*c[1])/3 - (5*c[2])/3 + (2*c[3])/3 + 
       (2*c[5])/3 - c[6] + (4*c[7])/3 - c[8] + 3*c[9] - (2*c[12])/3 + 
       (2*c[14])/3 + c[23] + c[24]/3 - (8*c[25])/3 + 2*c[26])*HPL[{1}, 1 - w]*
      M1[u, v, w] + ((-4*c[2])/3 + c[3]/9 - (7*c[8])/3 + c[9]/2 - 
       (4*c[10])/9 - c[25]/6 + c[26]/6)*HPL[{1}, 1 - u]*M1[v, u, w] + 
     ((-2*c[1])/3 - c[2]/3 + (2*c[3])/3 - (2*c[5])/3 - c[7]/3 + c[9]/2 + 
       (2*c[12])/3 - (2*c[14])/3 - c[24]/3 + (7*c[25])/6 - c[26]/2)*
      HPL[{1}, 1 - w]*M1[v, u, w] + ((-3*c[1])/2 - c[2]/3 + (4*c[3])/9 - 
       (3*c[6])/2 + c[7] - (17*c[8])/6 + 3*c[9] - c[10]/9 + c[19] - c[22] - 
       c[24]/2 + (5*c[25])/6 - c[26]/12)*HPL[{1}, 1 - u]*M1[v, w, u] + 
     ((-2*c[1])/3 - (4*c[2])/3 + c[3]/3 + c[5]/3 - c[6] + (2*c[7])/3 - c[8] + 
       3*c[9] + c[10]/3 - c[12]/3 + c[14]/3 + c[23] - c[24]/3 - c[25]/3 + 
       c[26])*HPL[{1}, 1 - w]*M1[v, w, u] + 
     ((-3*c[1])/2 + c[3]/3 - c[6]/2 + c[7] - (3*c[8])/2 + 2*c[9] + c[10]/3 - 
       c[22] - c[24]/2 + c[25]/2 + c[26]/4)*HPL[{1}, 1 - u]*M1[w, u, v] + 
     ((2*c[3])/3 - c[6] + c[7] - c[8] + (7*c[9])/2 - c[12] + c[14] + c[23] - 
       (3*c[25])/2 + (3*c[26])/2)*HPL[{1}, 1 - w]*M1[w, u, v] + 
     ((-2*c[2])/3 - c[3]/9 + c[8]/3 - (5*c[9])/2 - (2*c[10])/9 + c[25]/6 - 
       c[26]/6)*HPL[{1}, 1 - u]*M1[w, v, u] + 
     ((-4*c[1])/3 + c[2]/3 + c[3]/3 - c[5]/3 - (2*c[7])/3 + c[10]/3 + 
       c[12]/3 + c[13] - c[14]/3 - (2*c[24])/3 + (7*c[25])/3 - c[26])*
      HPL[{1}, 1 - w]*M1[w, v, u] + (c[2]/3 + (2*c[3])/9 - (2*c[8])/3 + 
       c[9] + c[10]/9 - c[25]/3 + c[26]/3)*HPL[{1}, 1 - u]*Nt[u, v, w] + 
     ((-5*c[1])/6 + c[2]/3 - c[5]/3 - (2*c[7])/3 + c[10]/3 + c[12]/3 - 
       c[14]/3 - c[23] - (2*c[24])/3 + (4*c[25])/3 - c[26]/2)*HPL[{1}, 1 - w]*
      Nt[u, v, w] + ((-8*c[2])/3 - (4*c[3])/9 + (4*c[8])/3 - 5*c[9] - 
       (2*c[10])/9 - c[25]/3 + c[26]/3)*HPL[{1}, 1 - u]^2*Omega2[u, v, w] + 
     ((-5*c[1])/2 - (13*c[2])/3 + (25*c[3])/9 + 3*c[5] - (3*c[6])/2 + 
       4*c[7] - (10*c[8])/3 + (11*c[9])/2 - (16*c[10])/9 - c[14] - c[15] - 
       3*c[22] - c[23] - (5*c[24])/2 + (7*c[25])/3 - c[26]/12)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[u, v, w] + 
     ((19*c[1])/6 + (22*c[3])/9 - (4*c[5])/3 - (3*c[6])/2 + (4*c[7])/3 + 
       (13*c[8])/6 + c[9] - (10*c[10])/9 - (2*c[12])/3 + (2*c[14])/3 - 
       c[22] + 2*c[23] + (5*c[24])/6 - (23*c[25])/6 + (35*c[26])/12)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[u, v, w] + 
     (c[1]/3 - (10*c[2])/3 + (7*c[3])/3 + (4*c[5])/3 - c[6]/2 + (8*c[7])/3 + 
       (3*c[8])/2 + 2*c[9] - (5*c[10])/3 - (4*c[12])/3 + (4*c[14])/3 + 
       c[22] + 4*c[23] + c[24]/6 - (22*c[25])/3 + (25*c[26])/4)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w] + 
     ((-5*c[1])/3 + (2*c[2])/3 - c[3]/3 - (2*c[5])/3 - (4*c[7])/3 - c[9] + 
       c[10] + (2*c[12])/3 - (2*c[14])/3 - 2*c[23] - (4*c[24])/3 + 
       (8*c[25])/3 - c[26])*HPL[{1}, 1 - w]^2*Omega2[u, v, w] + 
     (c[1]/2 - 2*c[2] + 3*c[3] + c[6]/2 - (5*c[8])/2 - 5*c[9] - 3*c[10] + 
       c[12] - 2*c[14] - c[15] + c[22] - c[24]/2 - (3*c[26])/4)*
      HPL[{0, 1}, 1 - u]*Omega2[u, v, w] + 
     (c[1]/2 - 2*c[2] + (7*c[3])/3 + (3*c[6])/2 - 2*c[7] + 8*c[8] + c[9] - 
       (13*c[10])/3 + c[12] - 2*c[14] - c[15] - c[22] - 2*c[23] - c[24]/2 - 
       (3*c[25])/2 + (7*c[26])/4)*HPL[{0, 1}, 1 - v]*Omega2[u, v, w] + 
     ((7*c[1])/2 - 6*c[2] + 5*c[3] - 3*c[6] + (5*c[8])/4 - 5*c[9] - 5*c[10] - 
       c[12] - c[15] - c[22] + c[24]/2 - (5*c[25])/2 + 3*c[26])*
      HPL[{0, 1}, 1 - w]*Omega2[u, v, w] + 
     ((2*c[2])/3 + (4*c[3])/9 - (4*c[8])/3 + 2*c[9] + (2*c[10])/9 - 
       (2*c[25])/3 + (2*c[26])/3)*HPL[{1}, 1 - u]^2*Omega2[v, w, u] + 
     (-c[1]/2 - c[2]/3 - (23*c[3])/9 - 3*c[5] + c[6]/2 - 2*c[7] + 
       (17*c[8])/3 - (9*c[9])/2 + (2*c[10])/9 + c[14] + c[15] + c[22] + 
       c[23] + (3*c[24])/2 + c[25]/3 - (13*c[26])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*Omega2[v, w, u] + ((-37*c[1])/6 - (10*c[3])/9 - 
       (2*c[5])/3 + c[6]/2 + (2*c[7])/3 - (31*c[8])/6 + 3*c[9] + 
       (22*c[10])/9 + (2*c[12])/3 - (2*c[14])/3 - c[22] - 2*c[23] - 
       (11*c[24])/6 + (29*c[25])/6 - (29*c[26])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*Omega2[v, w, u] + (c[1]/3 - (4*c[2])/3 + c[3] - 
       (2*c[5])/3 - (3*c[6])/2 + (2*c[7])/3 - (7*c[8])/2 + 4*c[9] - c[10]/3 + 
       (2*c[12])/3 - (2*c[14])/3 - c[22] + 2*c[23] + (7*c[24])/6 + 
       (2*c[25])/3 - c[26]/4)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Omega2[v, w, u] + ((5*c[1])/3 - (8*c[2])/3 + (5*c[3])/3 + (2*c[5])/3 - 
       2*c[6] + (10*c[7])/3 - 2*c[8] + 7*c[9] - c[10] - (8*c[12])/3 + 
       (8*c[14])/3 + 4*c[23] + (4*c[24])/3 - (20*c[25])/3 + 5*c[26])*
      HPL[{1}, 1 - w]^2*Omega2[v, w, u] + 
     (-c[1]/2 + 2*c[2] - 3*c[3] - c[6]/2 + c[8]/2 + 5*c[9] + 3*c[10] - 
       c[12] + 2*c[14] + c[15] - c[22] + c[24]/2 - 3*c[25] + (3*c[26])/4)*
      HPL[{0, 1}, 1 - u]*Omega2[v, w, u] + 
     (-c[1]/2 + 2*c[2] - (7*c[3])/3 - (3*c[6])/2 + 2*c[7] - 8*c[8] - c[9] + 
       (13*c[10])/3 - c[12] + 2*c[14] + c[15] + c[22] + 2*c[23] + c[24]/2 + 
       (3*c[25])/2 - (7*c[26])/4)*HPL[{0, 1}, 1 - v]*Omega2[v, w, u] + 
     ((-7*c[1])/2 + 6*c[2] - 5*c[3] + 3*c[6] + (3*c[8])/4 + 5*c[9] + 
       5*c[10] + c[12] + c[15] + c[22] - c[24]/2 + (11*c[25])/2 - 3*c[26])*
      HPL[{0, 1}, 1 - w]*Omega2[v, w, u] + 
     (-3*c[1] - 2*c[2] + (2*c[3])/3 - c[6] + 2*c[7] - c[8] + 6*c[9] - 
       2*c[22] - c[24] + c[25] + c[26]/2)*HPL[{1}, 1 - u]^2*Omega2[w, u, v] + 
     (-c[1]/2 + (11*c[2])/3 - (17*c[3])/9 - 3*c[5] + c[6]/2 - 2*c[7] + 
       (5*c[8])/3 + c[9]/2 + (14*c[10])/9 + c[14] + c[15] + c[22] + c[23] + 
       (3*c[24])/2 - (2*c[25])/3 - c[26]/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      Omega2[w, u, v] + ((3*c[1])/2 - 6*c[2] - (9*c[6])/2 + 4*c[7] + 
       (3*c[8])/2 - c[9] + (2*c[10])/3 - 2*c[12] + 2*c[14] - c[22] + 
       4*c[23] + (5*c[24])/2 - (13*c[25])/2 + (11*c[26])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*Omega2[w, u, v] + ((-5*c[1])/3 + (2*c[2])/3 - c[3]/3 - 
       (2*c[5])/3 + (3*c[6])/2 - (4*c[7])/3 + (7*c[8])/2 - 4*c[9] + c[10] + 
       (2*c[12])/3 - (2*c[14])/3 + c[22] - 2*c[23] - (11*c[24])/6 + 
       (2*c[25])/3 + c[26]/4)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      Omega2[w, u, v] + (-c[1] + c[3] - c[9] - (5*c[10])/3 + 2*c[23] + c[26])*
      HPL[{1}, 1 - w]^2*Omega2[w, u, v] + 
     (-c[1]/2 + 2*c[2] - 3*c[3] - c[6]/2 + (11*c[8])/2 - 2*c[9] + 3*c[10] - 
       c[12] + 2*c[14] + c[15] + c[22] + c[24]/2 + (3*c[26])/4)*
      HPL[{0, 1}, 1 - u]*Omega2[w, u, v] + 
     (-c[1]/2 + 2*c[2] - (7*c[3])/3 + c[6]/2 + 2*c[7] + 14*c[8] + 4*c[9] + 
       (13*c[10])/3 - c[12] + 2*c[14] + c[15] - c[22] + 2*c[23] + c[24]/2 - 
       (9*c[25])/2 + (13*c[26])/4)*HPL[{0, 1}, 1 - v]*Omega2[w, u, v] + 
     ((-7*c[1])/2 + 6*c[2] - 5*c[3] - 2*c[6] + (29*c[8])/4 - 8*c[9] + 
       5*c[10] + c[12] + c[15] - c[22] - c[24]/2 - c[25]/2 - c[26]/2)*
      HPL[{0, 1}, 1 - w]*Omega2[w, u, v] + 
     ((3*c[1])/2 + (7*c[2])/3 - c[3]/9 + c[6]/2 - c[7] - c[8]/6 - c[9]/2 + 
       c[10]/9 + c[22] + c[24]/2 - (4*c[25])/3 + (7*c[26])/12)*
      HPL[{1}, 1 - u]*Ot[u, v, w] + (-c[1]/3 + (7*c[2])/3 - (4*c[3])/3 + 
       (2*c[5])/3 + c[6] - (8*c[7])/3 + c[8] - 5*c[9] + (4*c[12])/3 - 
       (4*c[14])/3 - 3*c[23] - (2*c[24])/3 + (13*c[25])/3 - 4*c[26])*
      HPL[{1}, 1 - w]*Ot[u, v, w] + (-c[1]/2 - 3*c[2] + (7*c[3])/6 + 
       (3*c[5])/2 - (3*c[6])/4 + 2*c[7] - (9*c[8])/4 + (7*c[9])/4 - c[14]/2 - 
       c[15]/2 - c[22]/2 - c[23]/2 - (3*c[24])/4 - c[25]/2 + c[26]/8)*
      Phi6[u, v, w]^2 + (16*c[1] - (320*c[2])/9 - (160*c[3])/27 + 
       (16*c[6])/3 + (304*c[8])/9 - (112*c[9])/3 - (224*c[10])/27 + 
       (16*c[24])/3 + (32*c[25])/9 - (104*c[26])/9)*HPL[{1}, 1 - u]*
      Qep[u, v, w] + ((-112*c[1])/9 - (128*c[2])/9 + (160*c[3])/9 + 
       (32*c[5])/9 - (16*c[6])/3 + (64*c[7])/9 - (16*c[8])/3 + 16*c[9] - 
       (64*c[10])/3 + (64*c[12])/9 - (64*c[14])/9 + (64*c[23])/3 + 
       (16*c[24])/9 - (128*c[25])/9 + (56*c[26])/3)*HPL[{1}, 1 - w]*
      Qep[u, v, w] + (-16*c[1] - (160*c[2])/9 + (64*c[3])/27 - (16*c[6])/3 + 
       32*c[7] - (208*c[8])/9 + (112*c[9])/3 + (320*c[10])/27 - 32*c[22] - 
       (16*c[24])/3 + (160*c[25])/9 - (88*c[26])/9)*HPL[{1}, 1 - u]*
      Qep[u, w, v] + ((160*c[1])/9 - (352*c[2])/9 + (224*c[3])/9 + 
       (160*c[5])/9 - (80*c[6])/3 + (320*c[7])/9 - (80*c[8])/3 + 80*c[9] - 
       (64*c[10])/3 - (256*c[12])/9 + (256*c[14])/9 + (128*c[23])/3 + 
       (80*c[24])/9 - (640*c[25])/9 + (184*c[26])/3)*HPL[{1}, 1 - w]*
      Qep[u, w, v] + (-32*c[1] - (32*c[2])/3 + (32*c[3])/9 - (32*c[6])/3 + 
       (32*c[7])/3 + (128*c[9])/3 - (32*c[10])/9 - (32*c[22])/3 - 
       (32*c[24])/3 + (32*c[25])/3 + (16*c[26])/3)*HPL[{1}, 1 - u]*
      Qep[v, u, w] + (16*c[1] - 32*c[2] + (128*c[3])/9 - (64*c[6])/3 + 
       (128*c[7])/3 - (64*c[8])/3 + 64*c[9] - (64*c[12])/3 + (64*c[14])/3 + 
       (128*c[23])/3 + (64*c[24])/3 - (256*c[25])/3 + (160*c[26])/3)*
      HPL[{1}, 1 - w]*Qep[v, u, w] + (-16*c[1] - (32*c[2])/3 - (64*c[3])/9 - 
       (16*c[6])/3 - (32*c[7])/3 + (80*c[8])/3 - (272*c[9])/3 - 
       (128*c[10])/9 + (32*c[22])/3 - (16*c[24])/3 + (32*c[25])/3 - 
       (8*c[26])/3)*HPL[{1}, 1 - u]*Qep[v, w, u] + 
     ((-32*c[1])/3 + (32*c[2])/3 - (32*c[3])/9 - (32*c[5])/3 + (16*c[6])/3 + 
       (16*c[8])/3 - 16*c[9] + (64*c[23])/3 + (16*c[24])/3 + (8*c[26])/3)*
      HPL[{1}, 1 - w]*Qep[v, w, u] + ((-352*c[2])/9 - (32*c[3])/27 + 
       (32*c[7])/3 + (32*c[8])/9 - 32*c[9] + (32*c[10])/27 - (32*c[22])/3 - 
       (32*c[25])/9 + (32*c[26])/9)*HPL[{1}, 1 - u]*Qep[w, u, v] + 
     ((304*c[1])/9 - (160*c[2])/9 + (128*c[3])/9 - (128*c[5])/9 + 
       (128*c[7])/9 - (64*c[12])/9 + (64*c[14])/9 + (64*c[23])/3 + 
       (128*c[24])/9 - (256*c[25])/9 + (32*c[26])/3)*HPL[{1}, 1 - w]*
      Qep[w, u, v] + (-48*c[1] - (128*c[2])/9 + (224*c[3])/27 - 16*c[6] + 
       (64*c[7])/3 - (80*c[8])/9 + 48*c[9] - (224*c[10])/27 - (64*c[22])/3 - 
       16*c[24] + (224*c[25])/9 - (8*c[26])/9)*HPL[{1}, 1 - u]*Qep[w, v, u] + 
     ((176*c[1])/9 - (320*c[2])/9 + (160*c[3])/9 + (32*c[5])/9 - 16*c[6] + 
       (256*c[7])/9 - 16*c[8] + 48*c[9] - (128*c[12])/9 + (128*c[14])/9 + 
       (128*c[23])/3 + (112*c[24])/9 - (512*c[25])/9 + (136*c[26])/3)*
      HPL[{1}, 1 - w]*Qep[w, v, u] + ((3*c[1])/4 + (7*c[2])/6 - c[3]/18 + 
       c[4]/12 + c[6]/4 - c[7]/2 - c[8]/12 - c[9]/4 + c[10]/18 + c[22]/2 + 
       c[24]/4 - c[25]/6 - (5*c[26])/24)*HPL[{1}, 1 - u]^4*\[Zeta][2] + 
     (2*c[2] - (2*c[3])/3 - 2*c[7] + 2*c[8] - 4*c[9] - (4*c[10])/3 + 2*c[22])*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*\[Zeta][2] + 
     ((19*c[1])/4 - (27*c[2])/4 + (33*c[3])/4 + (9*c[5])/2 - (3*c[6])/2 + 
       (3*c[7])/2 - (13*c[8])/4 - (3*c[9])/4 - (61*c[10])/12 - (3*c[12])/2 + 
       c[13]/2 - c[14] - 3*c[15] - 2*c[22] - (3*c[23])/2 - 2*c[24] + 
       (3*c[25])/2 + 2*c[26])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      \[Zeta][2] + ((5*c[1])/12 + (7*c[2])/6 - c[3]/18 + c[6]/4 - c[7]/2 - 
       (7*c[8])/12 - c[9]/4 + (7*c[10])/18 + c[22]/2 + c[24]/4 - 
       (2*c[25])/3 + (7*c[26])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      \[Zeta][2] + (-c[1] - (23*c[2])/6 - (14*c[3])/9 + c[5]/3 + c[6]/6 + 
       4*c[7] - (133*c[8])/6 + (61*c[9])/6 + (37*c[10])/9 + (2*c[12])/3 - 
       (2*c[13])/3 - (2*c[14])/3 + 2*c[15] + (5*c[19])/3 - 2*c[22] - 
       (11*c[23])/6 - c[24]/2 + (5*c[25])/3 - (8*c[26])/3)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]*\[Zeta][2] + (-c[1]/2 + (20*c[2])/3 - (11*c[3])/9 - 
       3*c[5] - 7*c[6] - 6*c[7] - (43*c[8])/3 - (17*c[9])/2 - (49*c[10])/9 - 
       c[13] + c[14] + 6*c[15] - 2*c[21] + 7*c[22] + 3*c[23] + 3*c[24] - 
       (5*c[25])/3 - (7*c[26])/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*\[Zeta][2] + (-8*c[1] + 19*c[2] - (35*c[3])/3 - 
       6*c[5] + (19*c[6])/2 - 7*c[7] + 22*c[8] - (19*c[9])/4 + 12*c[10] + 
       2*c[12] + 2*c[14] + 2*c[15] + 2*c[21] + 7*c[22] - c[23] - 
       (3*c[24])/2 + (5*c[25])/2 - (7*c[26])/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (-c[1]/6 + (7*c[2])/6 - (5*c[3])/6 - c[5]/6 + c[6]/2 - (5*c[7])/6 + 
       c[8]/2 - (3*c[9])/2 - (7*c[10])/18 + c[12]/6 - c[14]/6 - (3*c[23])/2 - 
       c[24]/3 + (5*c[25])/3 - (3*c[26])/2)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      \[Zeta][2] + ((5*c[1])/4 - (3*c[2])/4 + c[3]/12 - c[5] - 8*c[6] - 
       (13*c[7])/2 - (107*c[8])/4 + (43*c[9])/4 - (5*c[10])/4 + c[12]/2 + 
       c[13]/2 - 4*c[22] + c[23]/2 + 2*c[24] + (9*c[25])/2 - 5*c[26])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     ((-44*c[1])/3 + (2*c[2])/3 - 10*c[3] - (20*c[5])/3 + 4*c[6] - c[7]/3 + 
       (21*c[8])/2 - (45*c[9])/4 + (29*c[10])/3 + (2*c[12])/3 + (7*c[14])/3 + 
       3*c[15] + 2*c[21] + 8*c[22] - 8*c[23] - (16*c[24])/3 + (44*c[25])/3 + 
       c[26]/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      \[Zeta][2] + ((21*c[1])/4 - (13*c[2])/4 - (5*c[3])/4 + (3*c[5])/2 - 
       (3*c[6])/2 + (5*c[7])/2 - (71*c[8])/4 + (39*c[9])/4 + (19*c[10])/12 - 
       c[12]/2 - c[13]/2 - 4*c[22] - c[23]/2 + 3*c[24] + 4*c[25] - 
       (7*c[26])/2)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     ((5*c[1])/4 - 3*c[2] + (44*c[3])/9 + c[5] - c[6]/4 - (23*c[7])/6 + 
       (53*c[8])/12 + (43*c[9])/12 - (41*c[10])/18 + (3*c[22])/2 + c[23]/3 - 
       (11*c[24])/12 + 3*c[25] + (13*c[26])/24)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^3*\[Zeta][2] + (-c[1] + 2*c[2] - 2*c[3] - c[5] + c[6] + 
       c[8] - c[9] + (5*c[10])/3 + c[24] - (3*c[26])/2)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*\[Zeta][2] + (-c[1]/6 + (2*c[2])/3 - c[3]/3 - 
       c[5]/6 + c[6]/2 - (5*c[7])/6 + c[8]/2 - (3*c[9])/2 + c[10]/3 + 
       (2*c[12])/3 - (2*c[14])/3 - (3*c[23])/2 - c[24]/3 + (5*c[25])/3 - 
       (3*c[26])/2)*HPL[{1}, 1 - w]^4*\[Zeta][2] + 
     ((37*c[1])/4 - (49*c[2])/6 - (11*c[3])/18 + 9*c[5] + (21*c[6])/4 + 
       (29*c[7])/2 - (521*c[8])/12 + (55*c[9])/4 + (209*c[10])/18 - 2*c[13] - 
       2*c[14] + c[19] - (9*c[22])/2 - 3*c[23] + (9*c[24])/4 - (41*c[25])/6 - 
       (169*c[26])/24)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (-7*c[1] + (23*c[2])/3 + (175*c[3])/9 + 6*c[5] - 2*c[6] - 18*c[7] + 
       (115*c[8])/6 - (9*c[9])/2 - (241*c[10])/9 + 2*c[12] - 2*c[13] - 
       2*c[14] + 10*c[22] + 2*c[23] - 7*c[24] + (76*c[25])/3 + c[26]/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     ((3*c[1])/2 + (3*c[2])/2 + (61*c[3])/6 + 2*c[5] - (11*c[6])/2 - 5*c[7] + 
       8*c[8] - 3*c[9] - (25*c[10])/6 - c[12] + c[13] - 2*c[14] - 2*c[15] - 
       2*c[21] + c[22] + 2*c[23] - c[24]/2 + 4*c[25] - c[26]/4)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     ((-95*c[1])/6 - (49*c[2])/6 - 18*c[3] + (29*c[5])/3 + (53*c[6])/2 - 
       (26*c[7])/3 + (93*c[8])/2 + (9*c[9])/2 + 11*c[10] + (22*c[12])/3 - 
       (4*c[14])/3 + 14*c[15] - 2*c[20] - 2*c[21] + 4*c[22] - (15*c[23])/2 - 
       (61*c[24])/6 + (130*c[25])/3 - (57*c[26])/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     ((-11*c[1])/3 - c[2]/3 - (67*c[3])/3 - (26*c[5])/3 + (20*c[7])/3 - 
       9*c[8] + 35*c[9] + (23*c[10])/3 - (10*c[12])/3 - 2*c[13] + 
       (34*c[14])/3 + 8*c[15] + 6*c[21] - 4*c[22] - 10*c[23] + (20*c[24])/3 + 
       (11*c[25])/3 - 3*c[26])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + (-c[1]/2 + (7*c[2])/2 + (49*c[3])/6 - 
       4*c[5] + c[6]/2 - 15*c[7] + 18*c[8] - 16*c[9] - (5*c[10])/6 + 
       7*c[12] + c[13] - 11*c[14] - 3*c[15] - 5*c[21] + c[22] - 5*c[23] - 
       (11*c[24])/2 + 31*c[25] - (63*c[26])/4)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + (-2*c[1] - 7*c[2] - (38*c[3])/3 + 
       11*c[5] + 4*c[6] + 5*c[7] + (9*c[8])/2 + 26*c[9] + (41*c[10])/6 - 
       3*c[12] - 3*c[13] + 4*c[14] + 4*c[15] - c[20] - c[21] - 13*c[22] - 
       4*c[23] - 2*c[24] + 16*c[25] - 10*c[26])*HPL[{0, 1}, 1 - u]^2*
      \[Zeta][2] + ((53*c[1])/2 - (91*c[2])/6 + (133*c[3])/18 + 7*c[5] + 
       4*c[7] - (97*c[8])/6 - (13*c[9])/2 + (125*c[10])/18 - 3*c[12] - 
       3*c[13] - c[14] - 7*c[15] + 2*c[21] - 5*c[23] + 6*c[24] - 
       (7*c[25])/3 - (25*c[26])/6)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + ((-49*c[1])/4 - (31*c[2])/6 + (277*c[3])/18 - 4*c[5] - 
       (23*c[6])/4 - (25*c[7])/2 + (127*c[8])/12 - (11*c[9])/4 - 
       (355*c[10])/18 + 4*c[13] - 2*c[14] - 2*c[15] + c[22]/2 - 2*c[23] - 
       (35*c[24])/4 - (7*c[25])/3 + (203*c[26])/24)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((-3*c[1])/2 + 4*c[2] - 5*c[3] + (3*c[6])/2 + (21*c[8])/2 - 9*c[9] + 
       (19*c[10])/3 + 2*c[12] - c[14] + c[15] + 2*c[22] - c[24]/2 - 2*c[25] - 
       (11*c[26])/4)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((-94*c[1])/3 + (92*c[2])/3 - (154*c[3])/9 - (10*c[5])/3 - 4*c[6] - 
       (50*c[7])/3 + (349*c[8])/3 - 9*c[9] - (53*c[10])/9 + (34*c[12])/3 + 
       4*c[13] - (10*c[14])/3 + 24*c[15] + 2*c[20] - 2*c[21] + 8*c[22] - 
       2*c[23] - (32*c[24])/3 + 10*c[25] - (20*c[26])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((31*c[1])/6 - (7*c[2])/6 - (131*c[3])/6 + (91*c[5])/6 + (9*c[6])/2 + 
       (83*c[7])/6 - (71*c[8])/2 + (51*c[9])/2 + (15*c[10])/2 + 
       (17*c[12])/6 - 2*c[13] + (31*c[14])/6 + 6*c[15] + 2*c[20] - 2*c[21] - 
       2*c[22] + c[23]/2 + (7*c[24])/3 + (37*c[25])/3 - (15*c[26])/2)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((121*c[1])/6 - (85*c[2])/6 + (77*c[3])/6 + (11*c[5])/3 - c[6]/2 + 
       (13*c[7])/3 - 24*c[8] + 14*c[9] + (35*c[10])/6 - (17*c[12])/3 - 
       c[13] + (11*c[14])/3 - 7*c[15] + 5*c[21] - 5*c[22] - 11*c[23] + 
       (5*c[24])/6 - (29*c[25])/3 - (13*c[26])/4)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (-30*c[1] - 9*c[2] - (20*c[3])/3 + 
       12*c[5] - 13*c[6] - 4*c[7] + 38*c[8] - 13*c[9] + (10*c[10])/3 + 
       8*c[12] - 2*c[14] + 18*c[15] + 2*c[20] - 2*c[21] + 8*c[22] + 2*c[23] - 
       13*c[24] + 27*c[25] - (37*c[26])/2)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (-21*c[1] - 14*c[2] - (19*c[3])/3 + 
       4*c[5] - 12*c[6] + 2*c[7] - 25*c[8] - (103*c[10])/6 + c[12] + 
       3*c[13] + c[14] + 8*c[15] + c[21] + 5*c[22] - c[24] + (9*c[25])/2 + 
       c[26]/2)*HPL[{0, 1}, 1 - v]^2*\[Zeta][2] + 
     ((-3*c[1])/2 - (5*c[2])/2 + (23*c[3])/6 + 9*c[5] - 4*c[6] + 12*c[7] - 
       (83*c[8])/2 + (71*c[9])/2 - (5*c[10])/6 + c[12] - c[13] - 3*c[14] + 
       3*c[15] + 4*c[19] - 8*c[22] - 3*c[23] - 2*c[24] + c[25] - (7*c[26])/2)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (11*c[1] - (13*c[2])/3 + (91*c[3])/9 - 12*c[5] - 12*c[6] - 24*c[7] + 
       (83*c[8])/3 - (95*c[9])/2 - (151*c[10])/9 - 4*c[12] + 4*c[14] - 
       6*c[15] + 12*c[22] + 4*c[23] + 2*c[24] - (59*c[25])/3 + (79*c[26])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     ((-17*c[1])/2 - (3*c[2])/2 - (5*c[3])/6 + 6*c[5] - c[6]/2 + 5*c[7] - 
       18*c[8] + 15*c[9] - (5*c[10])/2 + c[12] - c[13] - 2*c[14] - 5*c[22] - 
       2*c[23] - (3*c[24])/2 - (3*c[26])/4)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + ((27*c[1])/4 - (14*c[2])/3 + 
       (101*c[3])/9 + 10*c[5] - (71*c[6])/4 + (3*c[7])/2 + (673*c[8])/12 + 
       (145*c[9])/4 + (11*c[10])/18 + 2*c[12] - 2*c[13] + 2*c[14] + 8*c[15] + 
       4*c[20] - 2*c[21] + (21*c[22])/2 + 8*c[23] - (43*c[24])/4 - 
       (31*c[25])/3 + (167*c[26])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + ((-50*c[1])/3 + (35*c[2])/3 - 
       (47*c[3])/3 + (4*c[5])/3 + 18*c[6] + (2*c[7])/3 - (47*c[8])/2 + 
       22*c[9] + (43*c[10])/3 + (26*c[12])/3 - 2*c[13] - (14*c[14])/3 + 
       2*c[15] + 2*c[21] - 2*c[22] - 12*c[23] - (7*c[24])/3 + (35*c[25])/3 - 
       18*c[26])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + ((73*c[1])/6 - (29*c[2])/3 + (15*c[3])/2 - (11*c[5])/6 + 
       c[6] - c[7]/6 + 14*c[8] - (9*c[9])/2 + (21*c[10])/2 - c[11] - 
       (8*c[12])/3 - c[14]/3 - 2*c[15] - c[21] + 2*c[22] - (9*c[23])/2 - 
       (7*c[24])/6 + (22*c[25])/3 - (27*c[26])/4)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + (-c[1] - 25*c[2] + (22*c[3])/3 + 
       11*c[5] + 8*c[6] + 12*c[7] + (25*c[8])/2 + 53*c[9] + (13*c[10])/3 + 
       2*c[12] - 2*c[13] - 2*c[14] + 6*c[15] + 2*c[20] - 4*c[21] + 8*c[22] + 
       10*c[23] - 9*c[24] + 19*c[25] - 10*c[26])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + (-4*c[1] - 21*c[2] + 4*c[3] + 7*c[5] - 
       4*c[6] - 6*c[7] + (59*c[8])/2 + 38*c[9] - (77*c[10])/3 + 8*c[12] - 
       4*c[13] - 6*c[14] + 12*c[15] + 4*c[21] + 14*c[22] - 22*c[23] - 
       8*c[24] - 12*c[25] + c[26]/2)*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + ((29*c[1])/2 - 28*c[2] + (89*c[3])/3 + 3*c[5] - 12*c[6] + 
       c[7] - 8*c[8] + 17*c[9] - (107*c[10])/6 - 3*c[12] + 2*c[13] - 
       4*c[14] - 2*c[15] - c[20] - 7*c[21] + 5*c[22] + 14*c[23] - 4*c[24] + 
       c[25]/2 + (19*c[26])/2)*HPL[{0, 1}, 1 - w]^2*\[Zeta][2] + 
     ((7*c[1])/4 - (15*c[2])/2 - (13*c[3])/2 + 12*c[5] + (13*c[6])/4 + 
       (55*c[7])/2 - (167*c[8])/4 + (131*c[9])/4 + (239*c[10])/6 + 8*c[12] - 
       12*c[14] + 4*c[15] - (7*c[22])/2 - 4*c[23] + (13*c[24])/4 - 
       (31*c[25])/2 - (107*c[26])/8)*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      \[Zeta][2] + (9*c[1] - 4*c[2] + (16*c[3])/3 + (4*c[10])/3 - 4*c[12] - 
       6*c[14] - 4*c[21] + 2*c[23] + 4*c[25] - 4*c[26])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + ((-23*c[1])/2 + (21*c[2])/2 - 
       (26*c[3])/3 + 3*c[5] - (11*c[6])/2 - 4*c[7] + (17*c[8])/2 + 
       (33*c[9])/2 + (44*c[10])/3 + 4*c[11] + 4*c[12] + 2*c[15] - 8*c[21] + 
       (5*c[23])/2 - (7*c[24])/2 + 8*c[25] - (19*c[26])/2)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + ((-21*c[1])/4 + (21*c[2])/2 - 
       (59*c[3])/6 + 2*c[5] - (43*c[6])/4 - (5*c[7])/2 + (15*c[8])/4 - 
       (13*c[9])/4 + (49*c[10])/6 - 4*c[12] - 4*c[13] + 6*c[14] + 10*c[15] + 
       4*c[19] + 4*c[20] + 4*c[21] + (9*c[22])/2 - 6*c[23] - (19*c[24])/4 + 
       6*c[25] + (9*c[26])/8)*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      \[Zeta][2] + (-12*c[1] + 16*c[2] - (56*c[3])/3 + 4*c[6] + 40*c[8] - 
       8*c[9] + (56*c[10])/3 + 8*c[12] - 4*c[14] + 4*c[15] + 8*c[22] - 
       4*c[24] - 6*c[25] - 10*c[26])*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      \[Zeta][2] + (-c[1]/2 + (5*c[2])/2 + (5*c[3])/2 - (3*c[5])/2 + 
       (9*c[6])/2 + c[7]/2 - (35*c[8])/2 + (37*c[9])/2 + (31*c[10])/6 - 
       4*c[11] + (3*c[12])/2 - (7*c[14])/2 - 10*c[15] + 8*c[21] - 6*c[22] - 
       (27*c[23])/2 + 3*c[24] + 3*c[25] - (17*c[26])/2)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     ((-57*c[1])/4 + 4*c[2] + (23*c[3])/3 + 6*c[5] - (87*c[6])/4 - c[7]/2 - 
       (39*c[8])/4 - (75*c[9])/4 - (17*c[10])/6 + 6*c[13] - 2*c[14] + 
       2*c[15] + 4*c[19] + c[22]/2 - 2*c[23] - (23*c[24])/4 + 3*c[25] + 
       (21*c[26])/8)*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     (3*c[1] - 2*c[2] + 5*c[6] - 9*c[8] + 17*c[9] - 4*c[13] - 2*c[15] - 
       6*c[22] + 3*c[24] - 4*c[25] - c[26]/2)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + ((17*c[1])/2 - 2*c[2] + c[3]/6 + 
       c[5]/2 + (3*c[6])/2 + (9*c[7])/2 + (75*c[8])/2 - (21*c[9])/2 + 
       (139*c[10])/6 - 2*c[12] + 6*c[14] + 4*c[20] + 12*c[21] + 8*c[22] - 
       (39*c[23])/2 + c[25] - 20*c[26])*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
      \[Zeta][2] + (-11*c[1] + (40*c[2])/3 - (76*c[3])/9 - 12*c[5] - 9*c[6] - 
       18*c[7] + (259*c[8])/3 - 59*c[9] - (44*c[10])/9 + 4*c[12] - 4*c[13] - 
       4*c[19] + 18*c[22] + 4*c[23] - 3*c[24] + (26*c[25])/3 + (23*c[26])/6)*
      HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + 
     (2*c[1] - 2*c[2] - (94*c[3])/3 - 20*c[5] - 8*c[6] + 24*c[7] - 74*c[8] + 
       (122*c[10])/3 + 4*c[13] - 8*c[15] - 12*c[22] + 18*c[24] - 26*c[25] - 
       7*c[26])*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + 
     ((128*c[1])/3 + (58*c[2])/3 + (52*c[3])/3 - (40*c[5])/3 - 62*c[6] + 
       (16*c[7])/3 - 156*c[8] - 72*c[9] - 6*c[10] - (44*c[12])/3 - 4*c[13] + 
       (8*c[14])/3 - 24*c[15] + 4*c[20] - 6*c[21] + 18*c[23] + (64*c[24])/3 - 
       (188*c[25])/3 + 53*c[26])*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][2] + (25*c[1] + (34*c[2])/3 - (340*c[3])/9 - 8*c[5] + 13*c[6] - 
       (47*c[8])/3 - 13*c[9] + (136*c[10])/9 + 8*c[12] - 16*c[13] - 4*c[15] - 
       14*c[22] + 17*c[24] - (46*c[25])/3 - (61*c[26])/6)*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     ((8*c[1])/3 + (64*c[2])/3 + (28*c[3])/3 - (94*c[5])/3 - 8*c[6] - 
       (62*c[7])/3 + 70*c[8] - 106*c[9] - 8*c[10] - (26*c[12])/3 + 4*c[13] + 
       (26*c[14])/3 - 4*c[20] + 26*c[21] + 12*c[22] - 26*c[23] + 
       (34*c[24])/3 - (74*c[25])/3 - c[26])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     (-13*c[1] + (76*c[2])/3 - (190*c[3])/9 - 8*c[5] + 9*c[6] - 24*c[7] - 
       (323*c[8])/3 - 75*c[9] - (68*c[10])/9 - 4*c[12] + 4*c[13] - 12*c[15] - 
       8*c[20] + 4*c[21] - 42*c[22] - 20*c[23] + 13*c[24] + (44*c[25])/3 - 
       (37*c[26])/6)*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (12*c[1] + 6*c[2] + (4*c[3])/3 - 8*c[5] - 14*c[6] - 8*c[7] + 76*c[8] - 
       78*c[9] - 10*c[10] - 4*c[12] + 4*c[13] + 4*c[14] + 4*c[20] + 8*c[21] + 
       12*c[22] - 8*c[23] + 2*c[24] + 2*c[25] + c[26])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + ((-28*c[1])/3 + (88*c[2])/3 - 
       (62*c[3])/3 + (14*c[5])/3 + 6*c[6] - (14*c[7])/3 - 2*c[8] - 36*c[9] - 
       (50*c[10])/3 + 4*c[11] + (28*c[12])/3 + (20*c[14])/3 + 4*c[15] + 
       26*c[21] - 30*c[23] + (28*c[24])/3 - (56*c[25])/3 - 6*c[26])*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (-c[1] - 2*c[2] - (52*c[3])/3 + 28*c[5] + 10*c[6] + 16*c[7] - 2*c[8] + 
       30*c[9] + 34*c[10] + 6*c[11] + 4*c[12] - 4*c[13] - 16*c[14] + 
       6*c[15] - 24*c[21] + 20*c[23] - 2*c[24] + 4*c[25] - 29*c[26])*
      HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (-13*c[1] + 8*c[2] - 20*c[3] + 6*c[5] - 27*c[6] - 14*c[7] + 35*c[8] - 
       34*c[9] + 10*c[10] + 6*c[11] + 8*c[12] + 6*c[13] - 4*c[14] + 
       34*c[15] + 2*c[19] - 6*c[20] + 6*c[22] - 2*c[23] - 5*c[24] - 8*c[25] - 
       (19*c[26])/2)*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (-8*c[1] + 2*c[2] + 6*c[3] + 6*c[5] - 9*c[6] - 8*c[7] + 34*c[8] - 
       8*c[9] + 12*c[10] + 4*c[13] - 2*c[14] + 2*c[19] + 6*c[22] - 2*c[23] - 
       5*c[24] - 8*c[25] - (11*c[26])/2)*HPL[{0, 0, 0, 1}, 1 - w]*
      \[Zeta][2] + (-30*c[1] + 50*c[2] + (46*c[3])/3 - 32*c[5] - 76*c[6] - 
       24*c[7] - 88*c[8] - 50*c[9] + (20*c[10])/3 - 8*c[12] + 8*c[13] + 
       4*c[14] - 28*c[15] + 4*c[20] - 24*c[21] + 12*c[22] + 44*c[23] - 
       20*c[24] - 20*c[25] + 74*c[26])*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2] + 
     (60*c[1] + 16*c[2] + (218*c[3])/3 + 14*c[5] - 4*c[6] - 12*c[7] - 
       140*c[8] + 2*c[9] - 24*c[10] - 12*c[12] - 12*c[13] - 12*c[15] + 
       4*c[21] - 36*c[22] - 16*c[23] + 12*c[25] + 8*c[26])*
      HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2] + 
     (-20*c[1] + 48*c[2] - 12*c[3] + 16*c[5] + 12*c[6] - 16*c[7] - 114*c[8] + 
       6*c[9] - 22*c[10] - 4*c[12] + 8*c[13] + 12*c[14] - 4*c[20] + 
       12*c[21] - 36*c[22] - 24*c[23] + 8*c[24] + 12*c[26])*
      HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (c[1] - 6*c[2] + (110*c[3])/3 + 6*c[5] + 16*c[6] - 10*c[7] - 4*c[8] + 
       136*c[9] - (148*c[10])/3 - 12*c[12] + 12*c[13] + 6*c[14] + 18*c[15] + 
       28*c[19] - 42*c[22] - 2*c[23] + 2*c[24] + 24*c[25] + 5*c[26])*
      HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2] + 
     (-53*c[1] - 20*c[2] + (82*c[3])/3 - 6*c[5] - 24*c[6] + 4*c[7] - 
       54*c[8] + 104*c[9] - (128*c[10])/3 - 8*c[12] + 6*c[14] - 2*c[15] - 
       6*c[22] + 2*c[23] - 16*c[24] + 13*c[25] + 30*c[26])*
      HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2] + 
     (-24*c[1] - 34*c[2] + 52*c[3] - 6*c[5] - 24*c[6] + 4*c[7] - 54*c[8] + 
       140*c[9] - (28*c[10])/3 - 6*c[11] - 36*c[14] - 6*c[15] - 72*c[21] - 
       6*c[22] + 98*c[23] - 34*c[24] + 37*c[25] + 33*c[26])*
      HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2] + 
     (-5*c[1] + 3*c[2] - 17*c[3] + 6*c[5] + 6*c[6] + 10*c[7] - 7*c[8] + 
       11*c[9] + (41*c[10])/3 + 6*c[12] - 2*c[13] - 4*c[14] + 4*c[15] - 
       2*c[23] - 6*c[25] - 8*c[26])*Omega2[u, v, w]*\[Zeta][2] + 
     (-7*c[1] + 13*c[2] - (5*c[3])/3 - 6*c[5] - 2*c[6] - 10*c[7] + 47*c[8] - 
       19*c[9] + 5*c[10] + 2*c[12] + 2*c[13] + 8*c[22] + 2*c[23] - 4*c[24] - 
       2*c[26])*Omega2[v, w, u]*\[Zeta][2] + 
     (7*c[1] - 13*c[2] + (5*c[3])/3 + 6*c[5] + 6*c[6] + 10*c[7] - 7*c[8] + 
       11*c[9] + (41*c[10])/3 - 2*c[12] - 2*c[13] - 2*c[23] - 6*c[25] - 
       4*c[26])*Omega2[w, u, v]*\[Zeta][2] + 
     ((-117*c[1])/5 + (36*c[2])/5 + (38*c[3])/5 + (8*c[4])/5 - 12*c[5] - 
       (81*c[6])/5 - (78*c[7])/5 + (114*c[8])/5 - (82*c[9])/5 - 
       (358*c[10])/15 + 4*c[13] + 2*c[14] - 2*c[15] + (2*c[17])/5 + 
       (22*c[22])/5 + 4*c[23] - (33*c[24])/5 + (42*c[25])/5 + (23*c[26])/2)*
      HPL[{1}, 1 - u]^2*\[Zeta][2]^2 + ((102*c[1])/5 - 10*c[2] - 
       (314*c[3])/15 - (24*c[5])/5 + (168*c[6])/5 + (172*c[7])/5 + 
       (141*c[8])/5 + (157*c[9])/5 + (94*c[10])/5 + 4*c[12] - 4*c[13] - 
       (8*c[14])/5 + (32*c[15])/5 + (8*c[23])/5 + (62*c[24])/5 - 
       (112*c[25])/5 - (17*c[26])/5)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      \[Zeta][2]^2 + (6*c[1] - 8*c[2] + (44*c[3])/5 + (16*c[5])/5 - 2*c[6] - 
       20*c[8] + 8*c[9] - (136*c[10])/15 - 4*c[12] + 2*c[14] - 2*c[15] - 
       4*c[22] + 2*c[24] + 3*c[25] + 5*c[26])*HPL[{1}, 1 - v]^2*
      \[Zeta][2]^2 + ((-36*c[1])/5 - 22*c[2] + (2*c[3])/5 + (28*c[5])/5 - 
       (76*c[6])/5 + (156*c[7])/5 - 43*c[8] + (201*c[9])/5 + (154*c[10])/5 - 
       (44*c[12])/5 + (16*c[13])/5 + 8*c[14] - 4*c[15] - (56*c[22])/5 + 
       (24*c[23])/5 - (22*c[24])/5 - 26*c[25] + (89*c[26])/5)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*\[Zeta][2]^2 + (2*c[1] + (22*c[2])/5 + (146*c[3])/15 - 
       32*c[5] + (36*c[6])/5 - (108*c[7])/5 + (562*c[8])/5 - (316*c[9])/5 - 
       (146*c[10])/15 - (4*c[12])/5 + (4*c[13])/5 + (24*c[14])/5 + 
       (16*c[15])/5 - (4*c[18])/5 + (68*c[22])/5 + (108*c[23])/5 + 
       (12*c[24])/5 + (4*c[25])/5 - (14*c[26])/5)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*\[Zeta][2]^2 + ((-101*c[1])/5 - (4*c[2])/5 - 
       (128*c[3])/15 + (6*c[5])/5 - 8*c[6] + (24*c[7])/5 - (126*c[8])/5 + 
       (94*c[9])/5 - (154*c[10])/15 + (12*c[12])/5 - (2*c[14])/5 + 2*c[15] - 
       (2*c[18])/5 - 4*c[22] + (48*c[23])/5 + (8*c[24])/5 - (33*c[25])/5 + 
       (82*c[26])/5)*HPL[{1}, 1 - w]^2*\[Zeta][2]^2 + 
     ((-68*c[1])/5 + (142*c[2])/5 + (58*c[3])/15 - (316*c[5])/5 + 
       (18*c[6])/5 - 32*c[7] + (698*c[8])/5 - 96*c[9] - (110*c[10])/3 - 
       4*c[12] + (24*c[13])/5 + (68*c[14])/5 + 12*c[15] + (16*c[19])/5 + 
       (104*c[22])/5 + (112*c[23])/5 + (2*c[24])/5 - (152*c[25])/5 + 
       (189*c[26])/5)*HPL[{0, 1}, 1 - u]*\[Zeta][2]^2 + 
     ((234*c[1])/5 - (98*c[2])/5 + 10*c[3] - (156*c[5])/5 + (74*c[6])/5 + 
       (76*c[7])/5 + (347*c[8])/5 - (232*c[9])/5 - (38*c[10])/5 - 
       (52*c[12])/5 + (16*c[13])/5 + 12*c[14] - (44*c[15])/5 + (8*c[18])/5 - 
       (16*c[19])/5 - (76*c[22])/5 + (56*c[23])/5 + (92*c[24])/5 - 30*c[25] + 
       c[26]/5)*HPL[{0, 1}, 1 - v]*\[Zeta][2]^2 + 
     ((-88*c[1])/5 + (54*c[2])/5 - (826*c[3])/15 - (176*c[5])/5 + 
       (128*c[6])/5 + (52*c[7])/5 + (362*c[8])/5 - (244*c[9])/5 - 
       (2*c[10])/5 - (36*c[12])/5 - (16*c[13])/5 + (84*c[14])/5 - 
       (4*c[15])/5 + (4*c[18])/5 - (16*c[19])/5 - (76*c[22])/5 + 
       (32*c[23])/5 + (76*c[24])/5 - (114*c[25])/5 - (2*c[26])/5)*
      HPL[{0, 1}, 1 - w]*\[Zeta][2]^2 + ((236*c[1])/7 + (176*c[2])/15 - 
       (216*c[3])/7 + (256*c[4])/35 - (296*c[5])/35 + (696*c[6])/7 + 
       (184*c[7])/7 + (556*c[8])/7 - (8504*c[9])/105 + (772*c[10])/35 + 
       (328*c[12])/35 - (752*c[13])/35 - (16*c[14])/7 - (368*c[15])/35 + 
       (64*c[17])/35 - (16*c[18])/5 - (64*c[19])/7 + (296*c[20])/35 + 
       (976*c[21])/105 + (264*c[22])/7 + (32*c[23])/21 + (844*c[24])/35 - 
       (4472*c[25])/105 + (584*c[26])/105 + (2*c[28])/35)*\[Zeta][2]^3 + 
     ((-3*c[1])/2 + (8*c[2])/3 + (4*c[3])/9 - c[4]/3 - (17*c[6])/6 - 
       (31*c[8])/6 - (3*c[9])/2 - (8*c[10])/9 + c[13]/3 - c[16]/3 + 
       (5*c[19])/3 - c[24]/2 + (7*c[25])/3 - (19*c[26])/12)*HPL[{1}, 1 - u]^3*
      \[Zeta][3] + ((17*c[1])/2 + c[3]/6 + (3*c[5])/2 + (5*c[6])/2 - 5*c[7] + 
       (85*c[8])/2 - 2*c[9] - (13*c[10])/6 - c[13] + c[15] - 2*c[19] + 
       2*c[22] + (3*c[24])/2 + 2*c[25] - (5*c[26])/4)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*\[Zeta][3] + (-12*c[1] - (22*c[2])/3 + (4*c[3])/9 - 
       2*c[6] + 6*c[7] - (22*c[8])/3 - 7*c[9] + (32*c[10])/9 + c[15] - 
       5*c[24] + c[25]/3 + (25*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      \[Zeta][3] + (2*c[10]*HPL[{1}, 1 - v]^3*\[Zeta][3])/9 + 
     ((-29*c[1])/3 + (56*c[2])/3 + c[3]/2 + (35*c[5])/6 + (29*c[6])/2 - 
       (37*c[7])/3 + (135*c[8])/2 - (17*c[9])/2 + (25*c[10])/6 + 
       (14*c[12])/3 + 3*c[13] - (20*c[14])/3 - 2*c[19] - c[21] + 4*c[22] - 
       6*c[23] - (53*c[24])/6 + (98*c[25])/3 - (49*c[26])/4)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (-6*c[1] - 14*c[2] - (43*c[3])/3 - c[5] + 4*c[6] + 4*c[7] - 
       (151*c[8])/2 + (77*c[9])/2 + (37*c[10])/3 + 2*c[12] - 2*c[14] + 
       2*c[15] + 2*c[20] - 2*c[21] + 2*c[22] - 4*c[23] - 3*c[24] + 6*c[25] - 
       (11*c[26])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      \[Zeta][3] + ((5*c[1])/6 + (2*c[2])/3 - (5*c[3])/3 - (8*c[5])/3 - 
       2*c[6] + (2*c[7])/3 - 8*c[8] + (27*c[9])/2 + c[10] - (4*c[12])/3 + 
       (4*c[14])/3 - 4*c[23] - c[24]/3 - (28*c[25])/3 + (5*c[26])/2)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (-2*c[1] + (41*c[2])/3 + (46*c[3])/9 + 7*c[5] + 2*c[6] + 10*c[7] - 
       (137*c[8])/6 + (51*c[9])/2 + (29*c[10])/9 + c[11] + 2*c[12] - 
       4*c[14] - 2*c[15] + c[20] - 5*c[21] + 3*c[22] + 2*c[23] - 9*c[24] + 
       c[25]/3 + (43*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     (2*c[1] + 3*c[2] + c[3]/2 + (3*c[5])/2 + c[6]/2 - 3*c[7] - (5*c[8])/2 - 
       c[9] - (55*c[10])/6 + c[11] + 2*c[14] + 4*c[21] - 10*c[23] - 
       (3*c[24])/2 - 5*c[25] - (19*c[26])/4)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*\[Zeta][3] + ((-2*c[1])/3 - (7*c[2])/3 - c[3]/9 - 
       (8*c[5])/3 - c[6]/2 - c[7]/3 - c[8]/2 + (5*c[9])/2 + (43*c[10])/9 + 
       (8*c[12])/3 - (8*c[14])/3 - c[21]/3 - 3*c[23] - (5*c[24])/6 + 
       2*c[25] - (25*c[26])/12)*HPL[{1}, 1 - w]^3*\[Zeta][3] + 
     (5*c[1] + (68*c[2])/3 - (32*c[3])/9 - 6*c[5] + 4*c[6] - 2*c[7] + 
       (179*c[8])/3 - 10*c[9] - (10*c[10])/9 - 4*c[12] + 6*c[13] + 2*c[14] + 
       6*c[20] - 6*c[22] + 2*c[23] + 6*c[24] + (4*c[25])/3 + (2*c[26])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     (6*c[1] - 12*c[2] - (10*c[3])/3 - 2*c[6] - 32*c[8] + 16*c[9] + 
       (26*c[10])/3 - 4*c[12] + 2*c[13] + 4*c[15] + 2*c[20] - 6*c[21] + 
       4*c[22] + 6*c[23] - 6*c[25] - 6*c[26])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*\[Zeta][3] + ((-20*c[1])/3 + (62*c[2])/3 - 
       (8*c[3])/3 + (16*c[5])/3 + 8*c[6] - (40*c[7])/3 - 79*c[8] - 2*c[9] - 
       (10*c[10])/3 - 2*c[11] + (44*c[12])/3 - (50*c[14])/3 + 2*c[20] + 
       4*c[22] - 16*c[23] - (16*c[24])/3 + (80*c[25])/3 - 42*c[26])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     (-5*c[1] + (74*c[2])/3 - (44*c[3])/9 - 6*c[5] - 2*c[6] - 24*c[7] + 
       (35*c[8])/3 - 54*c[9] - (22*c[10])/9 + 4*c[12] + 4*c[13] + 4*c[15] + 
       4*c[19] + 4*c[20] + 2*c[21] + 10*c[22] - 4*c[23] - 4*c[24] + 
       (118*c[25])/3 - (61*c[26])/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      \[Zeta][3] + (-6*c[1] - 16*c[2] + (8*c[3])/3 - 4*c[6] + 8*c[7] - 
       20*c[8] + 10*c[9] - (4*c[10])/3 - 2*c[12] + 2*c[14] + 4*c[23] - 
       12*c[25] + 6*c[26])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][3] + 
     ((7*c[1])/3 + (38*c[2])/3 - 2*c[3] - (8*c[5])/3 + 6*c[6] + (2*c[7])/3 - 
       37*c[8] + 6*c[9] - 12*c[10] - 2*c[11] + (8*c[12])/3 - 6*c[13] - 
       (20*c[14])/3 - 6*c[15] - 8*c[21] - 2*c[22] + (2*c[24])/3 + 
       (20*c[25])/3 + 8*c[26])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      \[Zeta][3] + (-5*c[1] + (110*c[2])/3 - (50*c[3])/9 - 6*c[5] + 14*c[6] - 
       14*c[7] + (71*c[8])/3 + 38*c[9] + (176*c[10])/9 + 2*c[12] + 6*c[13] - 
       4*c[20] + 12*c[22] + 6*c[23] + 4*c[24] + (64*c[25])/3 - (4*c[26])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][3] + 
     (-5*c[1] - 14*c[2] - 4*c[3] + c[6] + 8*c[7] - 36*c[8] + 17*c[9] + 
       (10*c[10])/3 - 2*c[13] - 4*c[14] - 4*c[21] - 2*c[22] - 3*c[24] + 
       12*c[25] - (3*c[26])/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      \[Zeta][3] + ((49*c[1])/3 - (22*c[2])/3 + 12*c[3] + (4*c[5])/3 + c[6] + 
       (2*c[7])/3 - 21*c[8] + 3*c[9] - (58*c[10])/3 + 2*c[11] - (4*c[12])/3 - 
       (8*c[14])/3 - 2*c[15] - 6*c[21] + 2*c[23] + (5*c[24])/3 - 
       (28*c[25])/3 + (21*c[26])/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][3] + (11*c[1] + 8*c[3] + 8*c[5] + 18*c[6] + 4*c[7] - 24*c[8] + 
       12*c[9] - (32*c[10])/3 - 6*c[11] + 4*c[12] - 12*c[14] + 4*c[15] + 
       8*c[20] + 8*c[21] - 28*c[23] - 2*c[24] + 40*c[25] - 47*c[26])*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][3] + (-7*c[1] - 8*c[2] - 16*c[3] - 
       10*c[5] - 19*c[6] - 10*c[7] - 43*c[8] + 44*c[9] + 30*c[10] + 6*c[11] + 
       10*c[13] + 4*c[15] + 2*c[19] - 10*c[20] - 4*c[21] + 2*c[22] + 
       6*c[23] - 3*c[24] + 8*c[25] + (3*c[26])/2)*HPL[{0, 0, 1}, 1 - v]*
      \[Zeta][3] + (-6*c[1] + 26*c[2] - 10*c[3] - 6*c[5] - 3*c[6] - 4*c[7] - 
       44*c[8] + 54*c[9] + (80*c[10])/3 + 4*c[13] - 2*c[14] + 2*c[19] - 
       4*c[20] - 4*c[21] + 2*c[22] + 6*c[23] - 3*c[24] + 8*c[25] + 
       (3*c[26])/2)*HPL[{0, 0, 1}, 1 - w]*\[Zeta][3] + 
     (-14*c[1] - 10*c[2] + (4*c[3])/3 - 26*c[6] - 4*c[7] - 121*c[8] + 
       62*c[9] + (68*c[10])/3 - 2*c[13] + 2*c[14] + 8*c[15] - 12*c[20] + 
       16*c[22] - 6*c[23] - 12*c[24] - 8*c[25] + 4*c[26])*
      HPL[{0, 1, 1}, 1 - u]*\[Zeta][3] + (-c[1] + 22*c[2] - (22*c[3])/3 - 
       4*c[5] + 3*c[6] - 10*c[7] - 27*c[8] + 53*c[9] + (70*c[10])/3 + 
       2*c[12] + 8*c[13] - 8*c[14] + 8*c[15] - 8*c[21] - 2*c[22] - 2*c[23] - 
       7*c[24] + 40*c[25] - (27*c[26])/2)*HPL[{0, 1, 1}, 1 - v]*\[Zeta][3] + 
     (-29*c[1] - 10*c[2] + (16*c[3])/3 - 12*c[5] - 13*c[6] - 12*c[7] - 
       23*c[8] + 39*c[9] + 24*c[10] - 4*c[11] + 4*c[12] + 8*c[13] - 4*c[14] + 
       4*c[15] - 2*c[20] - 2*c[21] - 2*c[22] - 8*c[23] - 9*c[24] + 38*c[25] - 
       (45*c[26])/2)*HPL[{0, 1, 1}, 1 - w]*\[Zeta][3] + 
     (-22*c[1] - 36*c[2] - (20*c[3])/3 + 26*c[6] - 24*c[7] + 94*c[8] - 
       66*c[9] - (76*c[10])/3 - 16*c[13] - 2*c[17] - 20*c[20] - 4*c[22] - 
       2*c[24] + 10*c[25] - 7*c[26] - 2*c[27])*HPL[{1}, 1 - u]*\[Zeta][2]*
      \[Zeta][3] + (42*c[1] + (88*c[3])/3 + 32*c[5] + 4*c[6] - 8*c[7] + 
       16*c[8] - (176*c[10])/3 - 20*c[11] - 4*c[12] + 24*c[14] + 4*c[18] - 
       8*c[20] - 4*c[21] + 56*c[23] + 24*c[24] - 88*c[25] + 38*c[26])*
      HPL[{1}, 1 - w]*\[Zeta][2]*\[Zeta][3] + 
     (-8*c[1] - 24*c[2] + (76*c[3])/3 - 16*c[5] - 8*c[6] + 32*c[7] + 
       34*c[8] + 34*c[9] - (116*c[10])/3 + 20*c[11] + 4*c[13] - 8*c[14] + 
       4*c[15] + 2*c[17] - 2*c[18] + 28*c[20] - 32*c[21] + 4*c[22] + 
       48*c[23] - 8*c[24] - 8*c[25] + 30*c[26] + 2*c[27])*\[Zeta][3]^2 + 
     (35*c[1] + 66*c[2] + (44*c[3])/3 - 8*c[4] - 55*c[6] + 10*c[7] - 
       172*c[8] + 109*c[9] + (58*c[10])/3 + 46*c[13] - 8*c[16] + c[17] - 
       8*c[19] + 8*c[20] + 2*c[22] + c[24] - 3*c[25] + (3*c[26])/2 + c[27])*
      HPL[{1}, 1 - u]*\[Zeta][5] + (-95*c[1] - 52*c[3] - 32*c[5] + 14*c[6] - 
       4*c[7] + 18*c[8] + 96*c[9] + 88*c[10] + 8*c[11] + 2*c[12] - 8*c[13] - 
       62*c[14] - 2*c[18] - 4*c[20] - 60*c[21] - 40*c[23] - 62*c[24] + 
       162*c[25] - 65*c[26])*HPL[{1}, 1 - w]*\[Zeta][5]
 
 
CuvwCoproductEntries[yw] = B1[u, v, w]*c[6] + B11[w, u, v]*(-c[6] - 2*c[8]) + 
     B10[v, w, u]*(2*c[2] - (4*c[3])/3 + 2*c[8] - 5*c[9]) + 
     B5[w, v, u]*(c[8] - c[9]) + B4[u, v, w]*c[9] + 
     B2[u, v, w]*(c[5] - c[10]/3) + B2[u, w, v]*((-2*c[3])/3 + (2*c[10])/3) - 
     (2*B3[v, w, u]*c[10])/3 + B11[u, v, w]*((2*c[3])/3 - 3*c[5] + c[10]) + 
     B10[w, u, v]*((-2*c[3])/3 - c[5] - c[9] + (5*c[10])/3) + 
     B5[v, u, w]*(c[3]/3 - c[7] - c[9] - (4*c[10])/3 + c[11] + c[12]) + 
     B5[u, w, v]*(2*c[6] - c[8]/2 + 2*c[9] - (2*c[10])/3 - c[13]) + 
     B7[u, v, w]*((-2*c[3])/3 + c[8] + (2*c[10])/3 - c[19]) + 
     B5[v, w, u]*(-c[3]/3 + c[7] + c[8] + c[10] + c[20]) + 
     B9[u, v, w]*(-c[6] - c[8]/2 - (17*c[9])/2 - 2*c[22]) + 
     B6[w, v, u]*(c[8] - c[9] + c[22]) + B8[u, v, w]*
      (c[2] - c[3] + c[6] + 5*c[8] - 3*c[9] + c[10]/3 - c[19] + c[22]) + 
     B6[v, w, u]*((2*c[3])/3 + c[7] + c[20] + c[22]) + 
     B10[u, v, w]*(3*c[1] - 4*c[9] + 2*c[24] - 2*c[25] - c[26]) + 
     B5[w, u, v]*(c[2] + c[3]/3 + c[5] - c[7] - c[9] - (5*c[10])/3 + c[25] - 
       c[26]) + B7[v, w, u]*(-c[2] + c[5] - c[9]/2 - c[10]/3 + c[25]/2 - 
       c[26]/2) + B8[w, u, v]*(c[2] - c[3]/3 + c[6]/2 + c[8]/2 - c[9] - 
       c[10]/3 + c[24]/2 - c[25]/2 - c[26]/4) + 
     B6[v, u, w]*((-3*c[1])/2 + c[2] - (2*c[3])/3 + c[6]/2 - c[7] + c[8]/2 - 
       (3*c[9])/2 - c[10]/3 + c[11] + c[12] - c[24]/2 + c[25] - c[26]/4) + 
     B6[w, u, v]*(c[2] + c[6]/2 - c[7] + c[8]/2 - (3*c[9])/2 - c[10]/3 + 
       c[21] - c[23] - c[24]/2 + c[25] - c[26]/4) + 
     B6[u, v, w]*((3*c[6])/2 + c[8]/2 + (3*c[9])/2 + c[24]/2 - c[25] + 
       c[26]/4) + B7[w, u, v]*(-c[9]/2 - c[25]/2 + c[26]/2) + 
     B6[u, w, v]*((3*c[6])/2 - c[8] + (7*c[9])/2 - c[13] - c[21] + c[23] - 
       c[24]/2 + (3*c[26])/4) + B8[v, w, u]*((3*c[1])/2 - 2*c[2] + c[3]/3 + 
       c[6]/2 + c[8]/2 - c[9] - c[10]/3 + c[23] + c[24]/2 - (3*c[25])/2 + 
       (3*c[26])/4) + B5[u, v, w]*((2*c[3])/3 + c[8] - (2*c[10])/3 - c[25] + 
       c[26]) + B9[v, w, u]*(-c[6] + c[8] + 3*c[9] + (2*c[10])/3 + c[18] + 
       c[24] + (3*c[26])/2) - (c[4]*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v])/120 + 
     ((-7*c[2])/24 - c[3]/8 + c[7]/8 - c[8]/24 + c[9]/4 + (23*c[10])/72 - 
       c[12]/4 + c[22]/8 - c[25]/12 + c[26]/12)*HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - v]^2 + (-c[1]/48 + (3*c[2])/8 + c[3]/12 + c[5]/6 + 
       (11*c[6])/16 - (19*c[7])/24 - (13*c[8])/48 - (9*c[9])/16 - 
       (25*c[10])/36 + c[12]/3 - c[14]/12 + (5*c[22])/8 - c[23]/4 - 
       (11*c[24])/48 + c[25]/24 + (25*c[26])/96)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]^3 + ((7*c[1])/48 + (5*c[2])/12 - (7*c[3])/24 - 
       (7*c[5])/24 + (5*c[6])/16 - c[7]/3 + (5*c[8])/16 - (11*c[9])/16 + 
       (5*c[10])/12 + c[12]/6 - c[14]/6 - c[23]/2 - c[24]/48 + (2*c[25])/3 - 
       (23*c[26])/32)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4 + 
     (-c[3]/12 + c[5]/8 - c[6]/8 + c[10]/24)*HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + (c[1]/3 + c[2]/2 - (5*c[3])/9 - 
       c[5]/4 - c[6]/12 + (5*c[7])/6 - (7*c[8])/24 - (5*c[9])/12 + 
       (3*c[10])/4 + c[13]/6 - c[15]/6 + c[21]/6 - (5*c[22])/6 - c[23]/4 - 
       c[24]/12 - c[25]/2 + c[26]/6)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w] + ((5*c[1])/8 + (3*c[2])/4 + (5*c[3])/18 + c[5]/2 - 
       (7*c[6])/12 + c[7]/2 - (19*c[8])/24 + (5*c[9])/8 - c[10]/3 - c[12]/6 - 
       c[15]/6 - c[21]/4 - (5*c[22])/12 + (3*c[23])/4 + (11*c[24])/24 - 
       (7*c[25])/12 + (11*c[26])/48)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w] + (-c[3]/12 + c[5]/8 + c[10]/72)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w] + 
     ((3*c[2])/8 + c[3]/24 + c[6]/8 - (3*c[7])/8 - (3*c[9])/8 - 
       (7*c[10])/24 + c[12]/4 + c[22]/8 + c[24]/8 - (3*c[26])/16)*
      HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^2 + 
     (-c[1]/16 + (9*c[2])/8 - (2*c[3])/9 + (7*c[5])/24 + c[6]/4 - c[7]/2 + 
       (7*c[8])/12 - (43*c[9])/24 - c[10]/24 + c[12]/4 - c[14]/4 - c[21]/12 + 
       c[22]/3 - c[23]/4 + c[24]/12 + (19*c[25])/24 - (11*c[26])/12)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2 + 
     ((7*c[1])/6 - c[2]/3 + c[3] - (4*c[5])/3 - c[7]/6 + (11*c[8])/6 - 
       (13*c[9])/8 - (17*c[10])/36 - c[12]/6 + c[14]/6 + c[22]/2 + c[23] + 
       (7*c[24])/12 - (3*c[25])/2 + (13*c[26])/12)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2 + 
     ((11*c[1])/12 - (7*c[2])/12 - (7*c[3])/18 - (19*c[5])/24 - (5*c[6])/48 + 
       (17*c[7])/24 + (73*c[8])/48 - (17*c[9])/48 + (47*c[10])/72 - 
       (5*c[12])/12 + c[14]/6 + c[21]/4 - c[22]/8 + (5*c[23])/12 + 
       (9*c[24])/16 - (35*c[25])/24 + (67*c[26])/96)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2 + 
     ((-11*c[1])/48 + c[2]/6 - c[3]/8 + (5*c[5])/24 - c[6]/16 - c[7]/12 - 
       c[8]/16 - c[9]/16 - c[12]/12 + c[14]/12 - c[23]/4 - (7*c[24])/48 + 
       c[25]/6 - c[26]/32)*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2 + 
     ((-5*c[2])/8 + c[3]/24 - (3*c[5])/4 + c[6]/16 - c[7]/4 + (7*c[8])/16 + 
       (7*c[9])/16 + (17*c[10])/24 - c[12]/4 + c[22]/4 + c[23]/4 + 
       (5*c[24])/16 - c[25]/4 + (5*c[26])/32)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]^3 + ((5*c[1])/8 + c[2]/8 - (17*c[3])/72 - (5*c[5])/6 - 
       (19*c[6])/48 - (5*c[8])/16 + (23*c[9])/48 + (55*c[10])/72 + c[21]/12 - 
       c[22]/4 - c[23]/6 + (7*c[24])/16 - (13*c[26])/32)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3 + 
     (c[1]/8 + (23*c[2])/24 - (25*c[3])/72 + (11*c[5])/8 - (5*c[6])/16 - 
       (5*c[8])/48 - (73*c[9])/48 - (29*c[10])/36 + c[12]/4 - c[21]/6 + 
       c[22]/4 + c[23]/12 - c[24]/16 - c[25]/3 + (5*c[26])/96)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3 + 
     ((-5*c[1])/24 + (5*c[2])/24 - c[3]/24 + c[5]/24 + (9*c[6])/16 - 
       (5*c[7])/12 + (17*c[8])/16 - (25*c[9])/16 - c[10]/6 + c[12]/3 - 
       c[14]/3 + c[22]/4 - c[23]/2 - (17*c[24])/48 + c[25]/3 - (7*c[26])/32)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3 + 
     (-c[3]/12 + c[5]/8 - c[6]/8 + c[10]/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^4 + (-c[2]/6 + c[3]/6 - c[4]/24 - c[6]/4 + c[7]/2 + 
       c[8]/12 + c[9]/4 - c[10]/18 - c[22]/2 - c[24]/4 + c[25]/6 + 
       (5*c[26])/24)*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - u] + 
     (c[1] + c[2] + c[3]/18 - (7*c[5])/6 + 2*c[6] + c[7]/6 + (49*c[8])/6 - 
       (17*c[9])/6 - (2*c[12])/3 + c[13]/6 + (2*c[14])/3 - c[15]/3 - 
       c[17]/12 - (5*c[19])/6 + c[22] + (3*c[23])/2 + (2*c[24])/3 - 
       (17*c[25])/6 + (11*c[26])/6)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u] + (-3*c[1] - (125*c[2])/36 + (121*c[3])/36 + 
       c[5]/4 - (97*c[6])/8 + c[7]/4 - (3079*c[8])/72 + (5*c[9])/4 - 
       (185*c[10])/108 + c[12]/6 + c[15]/2 - (2*c[22])/3 - (9*c[24])/8 - 
       (11*c[25])/18 + (61*c[26])/144)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u] + ((109*c[1])/72 + (85*c[2])/36 - (5*c[3])/6 - 
       (5*c[5])/18 + (21*c[6])/8 - (101*c[7])/36 + (13*c[8])/24 - 
       (199*c[9])/24 + c[10]/3 + (10*c[12])/9 - (7*c[14])/9 - c[15]/6 + 
       (13*c[22])/12 - 2*c[23] - (7*c[24])/72 + (97*c[25])/36 - 
       (101*c[26])/48)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u] + 
     ((7*c[1])/24 + (5*c[2])/6 - (7*c[3])/12 - (7*c[5])/12 + (5*c[6])/8 - 
       (2*c[7])/3 + (5*c[8])/8 - (11*c[9])/8 + (25*c[10])/36 + c[12]/3 - 
       c[14]/3 - c[23] - c[24]/24 + (4*c[25])/3 - (23*c[26])/16)*
      HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u] + 
     (-c[2] + (8*c[3])/9 + c[7] - c[8] + 2*c[9] - (2*c[10])/9 - c[22])*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (-5*c[1] - (35*c[2])/6 + (7*c[3])/6 + (19*c[5])/2 - (55*c[6])/4 + 
       2*c[7] - (1367*c[8])/24 + (113*c[9])/8 + (5*c[10])/9 + c[13]/2 - 
       c[15]/2 - (11*c[22])/2 - 2*c[23] - (3*c[24])/2 + (10*c[25])/3 - 
       (17*c[26])/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u] + ((-5*c[1])/12 - (73*c[2])/6 + 12*c[3] + 
       (223*c[5])/12 - c[6]/2 + (31*c[7])/6 - (95*c[8])/24 + (29*c[9])/2 - 
       (31*c[10])/36 - (4*c[12])/3 - (19*c[14])/6 - (9*c[15])/2 - c[18]/4 + 
       c[21] - 4*c[22] - (5*c[23])/2 - (127*c[24])/12 - (29*c[25])/2 + 
       (197*c[26])/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u] + ((-2*c[1])/3 - c[2]/3 + c[3]/3 + (2*c[5])/3 - 
       (5*c[6])/4 + (2*c[7])/3 - (9*c[8])/4 + (5*c[9])/2 - (11*c[10])/18 - 
       c[12]/3 + c[14]/3 - c[22]/2 + c[23] + (5*c[24])/12 - c[25]/3 + 
       (5*c[26])/8)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((-5*c[2])/4 + (13*c[3])/36 - (15*c[5])/4 + (31*c[6])/24 - 
       (25*c[7])/12 + (21*c[8])/8 + (4*c[9])/3 + (101*c[10])/36 - c[12]/6 + 
       c[22] + c[23] + (37*c[24])/24 - (2*c[25])/3 + (11*c[26])/48)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     ((-55*c[1])/24 + (73*c[2])/12 - (11*c[3])/9 + (5*c[5])/6 + (4*c[6])/3 + 
       c[7]/2 + (57*c[8])/8 - (23*c[9])/4 - (23*c[10])/18 + c[12]/2 - 
       c[14]/2 + (3*c[21])/2 - (3*c[22])/2 - (8*c[23])/3 - (11*c[24])/12 + 
       (29*c[25])/6 - (8*c[26])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     ((5*c[1])/6 - (4*c[2])/3 + (3*c[3])/4 + (7*c[5])/12 + (9*c[6])/8 + 
       (2*c[7])/3 + (23*c[8])/8 - (13*c[9])/4 - (23*c[10])/12 - c[12]/3 + 
       c[14]/3 + (5*c[22])/4 + c[23] - (11*c[24])/24 - (31*c[25])/12 + 
       (37*c[26])/16)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + ((-5*c[2])/4 + c[3]/12 - c[5] - (5*c[6])/24 - 
       c[7]/2 + (7*c[8])/8 + (7*c[9])/8 + (5*c[10])/4 - c[12]/2 + c[22]/2 + 
       c[23]/2 + (5*c[24])/8 - c[25]/2 + (5*c[26])/16)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     (c[1]/4 + c[2]/4 - (19*c[3])/36 - c[5]/4 - (5*c[6])/8 - (13*c[8])/8 + 
       (13*c[9])/8 + (17*c[10])/18 - c[22]/2 - c[23]/2 + (3*c[24])/8 + 
       c[25] - (17*c[26])/16)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - u] + (c[1]/4 + (17*c[2])/12 + (13*c[3])/12 - 
       (3*c[5])/2 + (3*c[6])/8 - (7*c[7])/2 + (617*c[8])/48 - (49*c[9])/16 + 
       (11*c[10])/36 + c[13]/2 - c[15]/2 - c[17]/8 - c[19]/4 + c[22] + 
       c[23]/2 + c[24]/4 + (11*c[25])/6 + (13*c[26])/24)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]^2 + ((-11*c[1])/3 - (7*c[2])/3 + (49*c[3])/6 + 
       (173*c[5])/6 - (69*c[6])/4 - (35*c[7])/6 - (333*c[8])/4 + 
       (49*c[9])/2 - (11*c[10])/3 - c[12]/3 - c[13] + (4*c[14])/3 - 7*c[15] + 
       c[18] - (3*c[20])/2 + (11*c[21])/2 - (3*c[22])/2 - 19*c[23] - 
       (28*c[24])/3 + (275*c[25])/12 - (105*c[26])/8 - c[28]/24)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     ((11*c[1])/8 + 4*c[2] + (13*c[3])/12 + c[5]/4 + c[6]/2 + c[7]/2 - 
       (3*c[8])/4 - (9*c[9])/8 - (29*c[10])/12 + (3*c[12])/2 - (5*c[14])/2 - 
       c[15]/2 + c[18]/8 - c[21]/4 - c[22]/2 + (7*c[23])/4 + (3*c[24])/4 + 
       (9*c[25])/8 + c[26]/8)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2 + 
     ((-3*c[1])/4 - (8*c[2])/3 - (11*c[3])/6 - c[5] - 8*c[6] + (5*c[7])/2 - 
       (511*c[8])/24 + (89*c[9])/8 + (137*c[10])/18 - c[12] + c[13]/2 + 
       c[20]/2 - (7*c[22])/2 + (5*c[24])/4 - (97*c[25])/12 + (23*c[26])/24)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     (-c[1]/3 - (14*c[2])/3 + (9*c[3])/2 + (73*c[5])/6 + (5*c[6])/4 + 
       (11*c[7])/6 - (17*c[8])/4 - 2*c[9] - (19*c[10])/6 - (13*c[12])/6 + 
       c[14]/6 - 2*c[15] + c[21]/2 + c[22]/2 - 3*c[23] - (59*c[24])/12 + 
       (13*c[25])/12 + (23*c[26])/8)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2 + (-c[2]/4 + (7*c[3])/12 - (3*c[6])/8 + 
       (5*c[8])/8 + (5*c[9])/4 + (13*c[10])/12 - c[22]/2 + c[24]/8 - 
       (5*c[25])/8 + (7*c[26])/16)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2 + 
     ((-11*c[1])/3 - (8*c[2])/3 + (97*c[3])/18 + (27*c[5])/2 - (55*c[6])/6 + 
       c[7]/6 - (493*c[8])/12 + (169*c[9])/12 - (13*c[10])/18 - c[12]/6 - 
       (5*c[14])/6 - 4*c[15] + c[18]/2 - c[20]/6 + (17*c[21])/6 - 
       (7*c[22])/6 - (28*c[23])/3 - (59*c[24])/12 + (55*c[25])/4 - 
       (67*c[26])/12 - c[28]/72)*HPL[{0, 1}, 1 - u]^3 + 
     ((-7*c[2])/12 - c[3]/4 - c[4]/24 + c[7]/4 - c[8]/12 + c[9]/2 + 
       (23*c[10])/36 - c[12]/2 + c[22]/4 - c[25]/6 + c[26]/6)*
      HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - v] + 
     ((-5*c[1])/24 + (41*c[2])/36 - (4*c[3])/9 + c[5]/3 + (23*c[6])/8 - 
       (3*c[7])/4 - (455*c[8])/72 - (43*c[9])/24 - (10*c[10])/27 + c[13]/6 - 
       c[14]/6 - (2*c[15])/3 - c[17]/12 - c[19]/2 + (31*c[22])/12 - c[23]/2 - 
       (5*c[24])/8 - (11*c[25])/36 + (155*c[26])/144)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     ((161*c[1])/72 + (205*c[2])/18 + (77*c[3])/36 - (5*c[5])/36 - 
       (29*c[6])/8 - (73*c[7])/9 - (135*c[8])/16 + (11*c[9])/8 + 
       (23*c[10])/12 + (5*c[12])/9 - (5*c[14])/9 - c[15]/2 - (11*c[22])/4 - 
       (5*c[23])/3 + (41*c[24])/36 + (637*c[25])/72 - (211*c[26])/48)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v] + 
     ((7*c[1])/6 - (17*c[2])/6 + c[3]/6 - c[5]/2 + c[6]/6 + (13*c[7])/6 - 
       c[8]/2 - (19*c[9])/4 - (4*c[10])/9 - c[14]/6 - c[15]/6 - (2*c[22])/3 - 
       c[23]/6 + c[24]/6 - (17*c[25])/12 - (5*c[26])/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v] + 
     (c[1]/6 - (7*c[2])/6 + (5*c[3])/6 + c[5]/6 - c[6]/2 + (5*c[7])/6 - 
       c[8]/2 + (3*c[9])/2 - (5*c[10])/12 - c[12]/6 + c[14]/6 + (3*c[23])/2 + 
       c[24]/3 - (5*c[25])/3 + (3*c[26])/2)*HPL[{1}, 1 - v]^4*
      HPL[{0, 1}, 1 - v] + (-c[2]/3 + c[3]/9 + (3*c[5])/2 - c[6]/4 + 2*c[7] - 
       (11*c[8])/6 + (7*c[9])/4 - (5*c[10])/9 - (3*c[22])/2 - c[23]/2 - 
       (3*c[24])/4 + c[25]/3 + c[26]/24)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + ((-95*c[1])/12 - (49*c[2])/6 - (13*c[3])/6 - 
       (2*c[5])/3 - (53*c[6])/4 - (4*c[7])/3 - (515*c[8])/24 + (91*c[9])/8 + 
       (127*c[10])/18 - c[12]/3 + c[13]/2 + c[14]/3 - c[15]/2 - c[18]/4 - 
       (13*c[22])/2 + (5*c[23])/2 - c[24]/12 + 7*c[25] - (59*c[26])/24)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     ((11*c[1])/6 + c[2]/6 + 11*c[3] + (64*c[5])/3 - (7*c[6])/4 + c[7]/6 - 
       7*c[8] + (83*c[9])/8 - (3*c[10])/2 - (4*c[12])/3 - (19*c[14])/6 - 
       (9*c[15])/2 + c[18]/4 - c[21] - (9*c[22])/2 - (7*c[23])/2 - 
       (97*c[24])/12 + (14*c[25])/3 + (25*c[26])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     ((-3*c[1])/2 + c[3]/3 - c[5]/3 - c[6]/2 - c[8]/2 + c[9]/2 - 
       (5*c[10])/9 - c[24]/2 + (3*c[26])/4)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + (-c[2]/3 + (5*c[3])/6 - 3*c[5] + (3*c[6])/4 - 
       2*c[7] + (137*c[8])/48 - (3*c[9])/4 + (71*c[10])/36 + (5*c[22])/4 + 
       c[23] + (7*c[24])/8 + (23*c[25])/24 - (13*c[26])/12)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((73*c[1])/12 - (23*c[2])/18 - (4*c[3])/9 - (5*c[5])/3 + (13*c[6])/24 + 
       (19*c[7])/12 - (5*c[8])/72 + (11*c[9])/6 - (113*c[10])/54 - c[12]/6 + 
       c[14]/3 - c[18]/4 - (25*c[22])/12 + (5*c[23])/2 + (113*c[24])/24 - 
       (62*c[25])/9 - (163*c[26])/144)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((-73*c[1])/72 + (5*c[2])/9 + (25*c[3])/18 + c[5]/9 + (23*c[6])/24 - 
       (23*c[7])/18 + (169*c[8])/48 - (51*c[9])/8 - (35*c[10])/12 + 
       (13*c[12])/18 - (13*c[14])/18 + (3*c[22])/4 - (11*c[23])/6 - 
       (13*c[24])/9 - (59*c[25])/72 + (37*c[26])/48)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((17*c[2])/12 - (7*c[3])/12 + (3*c[5])/2 + c[6]/8 - (35*c[8])/24 - 
       (9*c[9])/8 - (37*c[10])/36 + c[12]/2 - c[23]/2 - (3*c[24])/8 - 
       c[25]/6 - c[26]/48)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v] + ((-5*c[1])/12 + (5*c[2])/12 - (31*c[3])/36 + 
       c[5]/12 + (9*c[6])/8 - (5*c[7])/6 + (17*c[8])/8 - (25*c[9])/8 + 
       (5*c[10])/9 + (2*c[12])/3 - (2*c[14])/3 + c[22]/2 - c[23] - 
       (17*c[24])/24 + (2*c[25])/3 - (7*c[26])/16)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     (c[1]/2 - (37*c[2])/9 + (23*c[3])/9 - 3*c[5] + c[6]/2 + c[7]/2 - 
       (131*c[8])/72 + (51*c[9])/8 + (181*c[10])/54 - (11*c[12])/3 + c[13] - 
       3*c[15] - c[17]/4 - (3*c[19])/2 + (2*c[22])/3 + c[23] - (9*c[24])/4 - 
       (23*c[25])/9 + (337*c[26])/72)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((-203*c[1])/36 + (5*c[2])/6 + (73*c[3])/3 + 
       (505*c[5])/9 - (143*c[6])/4 - (83*c[7])/18 - (1226*c[8])/9 + 
       (259*c[9])/4 + (16*c[10])/27 - (16*c[12])/9 - c[13] + (31*c[14])/9 - 
       10*c[15] + (3*c[18])/2 - 2*c[20] + 13*c[21] - (85*c[22])/6 - 
       (101*c[23])/3 - (499*c[24])/36 + (413*c[25])/18 - (31*c[26])/72 - 
       c[28]/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((73*c[1])/18 - (5*c[2])/9 + (22*c[3])/9 + 
       (5*c[5])/9 + (13*c[6])/4 - (23*c[7])/9 - (11*c[8])/8 - 6*c[9] - 
       (8*c[10])/3 + (7*c[12])/9 - (25*c[14])/9 - c[15] + c[18]/4 - c[21]/2 + 
       c[22]/2 - (17*c[23])/6 + (4*c[24])/9 + (175*c[25])/36 - 
       (109*c[26])/24)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((-9*c[1])/2 - (20*c[2])/3 - 6*c[3] + 2*c[5] - 
       11*c[6] + 4*c[7] - (95*c[8])/3 + (83*c[9])/4 + (157*c[10])/9 - c[13] - 
       10*c[22] - c[23] + (26*c[25])/3 - (65*c[26])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((-5*c[1])/6 + c[2]/3 + (31*c[3])/3 + (77*c[5])/3 - 4*c[6] + 
       (7*c[7])/3 - (59*c[8])/4 - (3*c[9])/2 - (38*c[10])/3 + c[12]/3 - 
       (13*c[14])/3 - 4*c[15] + c[20] + c[21] - c[22] - 5*c[23] - 
       (43*c[24])/6 - (91*c[25])/6 + (19*c[26])/2)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (-c[2]/2 + (11*c[3])/6 + (3*c[6])/2 - (9*c[8])/8 - (5*c[9])/2 - 
       c[10]/2 + c[22] - (3*c[24])/4 + 3*c[25] - (7*c[26])/4)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((-17*c[1])/4 - (29*c[2])/2 + (91*c[3])/6 + 32*c[5] - 22*c[6] + 
       (7*c[7])/2 - (801*c[8])/8 + (265*c[9])/4 + (73*c[10])/6 + c[11]/2 - 
       (7*c[12])/2 - c[13] + c[14] - (17*c[15])/2 + (3*c[18])/2 - c[20] + 
       (9*c[21])/2 - 8*c[22] - 14*c[23] - 15*c[24] + 19*c[25] + 
       (15*c[26])/2 - c[28]/24)*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v] + 
     (c[1]/4 - c[2]/12 - (7*c[3])/4 - (3*c[5])/2 - (21*c[6])/8 + 7*c[7] - 
       (985*c[8])/48 + (59*c[9])/16 + (59*c[10])/36 - c[12] + c[13]/2 - 
       c[15]/2 - c[17]/8 - c[19]/4 + c[23]/2 - c[24]/4 - (65*c[25])/12 + 
       (41*c[26])/12)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^2 + 
     ((61*c[1])/12 + (7*c[2])/3 + 12*c[3] + (70*c[5])/3 - (29*c[6])/4 - 
       c[7]/3 - (1115*c[8])/24 + (327*c[9])/8 + (211*c[10])/18 - c[11]/2 - 
       (10*c[12])/3 + (17*c[14])/6 - c[15] + c[18]/4 - c[20]/2 + 
       (9*c[21])/2 - 4*c[22] - 8*c[23] - (55*c[24])/12 + (19*c[25])/2 + 
       (5*c[26])/3 - c[28]/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]^2 + ((5*c[1])/24 - (11*c[2])/6 + (19*c[3])/12 + 
       (13*c[5])/12 + (3*c[6])/4 - (4*c[7])/3 - c[8] - (21*c[9])/8 - 
       (13*c[10])/12 - c[12]/3 - (2*c[14])/3 - c[15]/2 + c[18]/8 - c[21]/4 - 
       (7*c[23])/4 - c[24]/3 - (11*c[25])/24 - 2*c[26])*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]^2 + (-3*c[1] - c[2]/3 + c[3] + (3*c[5])/2 + c[6]/4 - 
       7*c[7] - (29*c[8])/24 + (67*c[9])/8 + (32*c[10])/9 + c[12] - c[22] - 
       c[23]/2 + c[24]/2 + (115*c[25])/12 - (47*c[26])/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     ((7*c[1])/12 + (37*c[2])/6 + 5*c[3] + (41*c[5])/6 - (7*c[7])/3 + 
       (3*c[8])/2 - (23*c[9])/4 - (55*c[10])/6 + c[11]/2 + (5*c[12])/3 - 
       c[13]/2 - (19*c[14])/6 - 2*c[15] - c[20]/2 + c[21]/2 - c[22] - 
       (9*c[23])/2 - (7*c[24])/3 - (13*c[25])/12 + (17*c[26])/4)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     (-c[2]/4 + (13*c[3])/12 - (13*c[6])/8 - (15*c[9])/4 - (41*c[10])/12 - 
       c[22]/2 + c[24]/8 - (15*c[25])/8 + (25*c[26])/16)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v]^2 + ((19*c[1])/4 - (19*c[2])/2 + (133*c[3])/6 + 
       34*c[5] - 16*c[6] + 6*c[7] - (627*c[8])/8 + (563*c[9])/8 + 
       (10*c[10])/3 + (5*c[11])/2 - (9*c[12])/2 - c[13]/2 + 4*c[14] - 
       5*c[15] + (3*c[18])/4 - c[20]/2 + (15*c[21])/2 - 7*c[22] - 13*c[23] - 
       (17*c[24])/2 + (21*c[25])/2 + (77*c[26])/8 - c[28]/24)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + 
     ((23*c[1])/6 + (107*c[3])/18 + (23*c[5])/2 - (31*c[6])/6 + (11*c[7])/3 - 
       (99*c[8])/4 + (713*c[9])/24 + (31*c[10])/6 + (5*c[11])/6 - 
       (7*c[12])/3 - c[13]/3 + (13*c[14])/6 - c[15]/2 + c[18]/12 - c[20]/2 + 
       (3*c[21])/2 - (9*c[22])/2 - (4*c[23])/3 - (19*c[24])/12 - 
       (5*c[25])/4 + (139*c[26])/24 - c[28]/72)*HPL[{0, 1}, 1 - v]^3 + 
     ((3*c[2])/4 + c[3]/12 - c[4]/24 + c[6]/4 - (3*c[7])/4 - (3*c[9])/4 - 
       (7*c[10])/12 + c[12]/2 + c[22]/4 + c[24]/4 - (3*c[26])/8)*
      HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - w] + 
     ((-31*c[1])/24 + (11*c[2])/4 - (7*c[3])/6 - c[5]/6 + (11*c[6])/4 - 
       c[7]/6 + (41*c[8])/12 - (11*c[9])/3 + (7*c[10])/9 + c[12]/2 + 
       c[13]/6 - c[14]/2 + c[15]/3 - c[17]/12 + c[19]/2 + c[22]/6 - c[23] - 
       (5*c[24])/12 + (29*c[25])/12 - (15*c[26])/8)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-13*c[1])/6 + c[2]/3 + (11*c[3])/3 + c[5]/12 - (95*c[6])/8 - 
       (5*c[7])/6 - (337*c[8])/12 - (3*c[9])/4 + (20*c[10])/9 - c[12]/3 + 
       c[14]/3 + c[15]/2 - (19*c[22])/4 + c[23]/2 + c[24]/24 + (57*c[25])/8 - 
       (115*c[26])/48)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w] + (c[1]/3 - 4*c[2] + (2*c[3])/9 - c[5]/6 - 
       (7*c[6])/8 + (37*c[7])/12 + (3*c[8])/8 - (7*c[9])/24 - c[10]/2 - 
       (5*c[12])/6 + c[14]/6 - c[15]/6 - (11*c[22])/12 + (5*c[23])/6 + 
       (7*c[24])/24 - (37*c[25])/12 + (17*c[26])/16)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w] + 
     ((-11*c[1])/24 + c[2]/3 - c[3]/4 + (5*c[5])/12 - c[6]/8 - c[7]/6 - 
       c[8]/8 - c[9]/8 + c[10]/12 - c[12]/6 + c[14]/6 - c[23]/2 - 
       (7*c[24])/24 + c[25]/3 - c[26]/16)*HPL[{1}, 1 - v]^4*
      HPL[{0, 1}, 1 - w] + ((-7*c[2])/12 + (11*c[3])/36 - (3*c[5])/2 + 
       (11*c[6])/24 - (7*c[7])/6 + (13*c[8])/24 + (13*c[9])/24 + 
       (3*c[10])/4 + c[12]/6 + c[22]/2 + c[23]/2 + (23*c[24])/24 - c[25]/2 - 
       (3*c[26])/16)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((-21*c[1])/2 - (13*c[2])/12 + (65*c[3])/36 + 10*c[5] - (263*c[6])/24 - 
       (10*c[7])/3 - (155*c[8])/12 - (21*c[9])/4 - (79*c[10])/36 + 
       (2*c[12])/3 + c[13]/2 - (2*c[14])/3 - c[15]/2 - (3*c[21])/2 - 
       (9*c[22])/2 + c[23]/6 - (61*c[24])/24 + (29*c[25])/2 - (71*c[26])/16)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((73*c[1])/12 - (305*c[2])/36 + (541*c[3])/36 + (259*c[5])/12 - 
       (145*c[6])/24 + c[7]/2 - (973*c[8])/72 + (215*c[9])/12 - 
       (284*c[10])/27 - (3*c[12])/2 - (7*c[14])/6 - (5*c[15])/2 - c[18]/4 - 
       c[21] - (19*c[22])/6 - c[23]/2 - (21*c[24])/8 - (341*c[25])/18 + 
       (1933*c[26])/144)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + ((-55*c[1])/36 + (31*c[2])/36 - (11*c[3])/36 + 
       (35*c[5])/36 + (11*c[6])/24 - (19*c[7])/18 + (43*c[8])/24 - 
       (25*c[9])/8 - (4*c[10])/9 + (4*c[12])/9 - (4*c[14])/9 + c[22]/2 - 
       (5*c[23])/3 - (91*c[24])/72 + (10*c[25])/9 - (13*c[26])/48)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (-c[2] + c[3] - (11*c[5])/4 - (3*c[6])/8 - (3*c[7])/2 + c[8]/2 - 
       (5*c[9])/4 + 2*c[10] + (5*c[22])/4 + (3*c[23])/2 + (9*c[24])/8 + 
       (3*c[25])/8 - (7*c[26])/16)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w] + ((-3*c[1])/2 + c[2] - (5*c[3])/3 + (17*c[5])/4 - 
       (3*c[6])/4 + (7*c[7])/2 - 8*c[8] + (27*c[9])/8 - (5*c[10])/12 - 
       3*c[22] - 2*c[23] - (5*c[24])/4 + 2*c[25] - (5*c[26])/4)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (-c[2] + (17*c[3])/12 - (5*c[5])/4 + (19*c[6])/8 - c[7]/2 + 5*c[8] - 
       (9*c[9])/4 - (23*c[10])/12 + (3*c[22])/4 - c[23]/2 - (9*c[24])/8 - 
       (19*c[25])/8 + (39*c[26])/16)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w] + (-c[2]/6 + c[3]/2 - (5*c[5])/6 - c[6]/4 + c[7]/2 + 
       (7*c[8])/12 + c[9]/4 - c[10]/9 - c[22]/2 - c[24]/4 + (2*c[25])/3 - 
       (7*c[26])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w] + 
     (c[1]/6 - (2*c[2])/3 + (11*c[3])/18 + c[5]/6 - c[6]/2 + (5*c[7])/6 - 
       c[8]/2 + (3*c[9])/2 - (11*c[10])/18 - (2*c[12])/3 + (2*c[14])/3 + 
       (3*c[23])/2 + c[24]/3 - (5*c[25])/3 + (3*c[26])/2)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w] + 
     (c[1]/2 + 9*c[2] + (29*c[3])/9 - 3*c[5] + (11*c[6])/6 - (61*c[7])/6 + 
       (145*c[8])/8 - (263*c[9])/24 - (55*c[10])/18 + (11*c[12])/3 + c[13] - 
       c[15] - c[17]/4 + c[19]/2 + c[23] + (13*c[24])/12 + (5*c[25])/3 - 
       c[26]/24)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-187*c[1])/12 + (79*c[2])/6 + (140*c[3])/9 + (164*c[5])/3 - 
       (287*c[6])/6 - 2*c[7] - 162*c[8] + (141*c[9])/2 + (97*c[10])/9 + 
       c[12] + c[13] - c[14] - 2*c[15] + 2*c[18] - c[20] + 11*c[21] - 
       21*c[22] - (97*c[23])/3 - (43*c[24])/3 + (92*c[25])/3 - 
       (97*c[26])/12 - c[28]/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((77*c[1])/12 - (14*c[2])/3 + (41*c[3])/6 + (13*c[5])/6 - (5*c[6])/2 + 
       (10*c[7])/3 - (53*c[8])/4 + c[9]/4 - (53*c[10])/6 - (11*c[12])/3 + 
       (11*c[14])/3 - c[15] + c[18]/4 + c[21]/2 + c[22] + (9*c[23])/2 + 
       (11*c[24])/6 - (67*c[25])/6 + (9*c[26])/2)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-9*c[1])/2 - (85*c[2])/6 + (5*c[3])/18 - 3*c[5] - (127*c[6])/12 + 
       (17*c[7])/3 - (74*c[8])/3 + (53*c[9])/6 + (107*c[10])/6 - 
       (11*c[12])/3 - 6*c[22] + 3*c[23] + (11*c[24])/12 + 2*c[25] - 
       (11*c[26])/8)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + ((-11*c[1])/2 - (15*c[2])/2 + (29*c[3])/18 + 
       (45*c[5])/2 + (7*c[6])/12 - (2*c[7])/3 + c[8]/12 - (11*c[9])/4 - 
       (22*c[10])/3 + c[11] - (2*c[12])/3 - c[14]/3 - 2*c[15] + c[18]/2 - 
       c[21] - c[22] - (23*c[23])/3 - (85*c[24])/12 - (26*c[25])/3 + 
       (295*c[26])/24)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + (c[2]/2 + c[3]/6 - c[6]/2 + c[7] - (17*c[8])/4 - 
       4*c[9] + (5*c[10])/3 + c[22]/2 + c[23] + c[24]/2 - c[25]/4 - c[26])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-41*c[1])/2 + 6*c[2] + (17*c[3])/2 + (85*c[5])/2 - (89*c[6])/4 - 
       c[7]/2 - (159*c[8])/2 + (219*c[9])/4 + (16*c[10])/3 - c[11]/2 - 
       c[12]/2 + c[14] - (7*c[15])/2 + c[18] - c[20] + (17*c[21])/2 - 
       8*c[22] - 25*c[23] - (27*c[24])/2 + 28*c[25] - (39*c[26])/8 - 
       c[28]/24)*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w] + 
     (c[1]/2 + (11*c[2])/6 + (19*c[3])/6 - 3*c[5] + c[6]/2 - c[7] - 
       (89*c[8])/12 - (9*c[9])/8 + (11*c[10])/18 + c[13] + c[15] - c[17]/4 + 
       (3*c[19])/2 - (5*c[24])/2 + (43*c[25])/6 - (31*c[26])/24)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-43*c[1])/3 + (127*c[2])/9 + (169*c[3])/9 + (128*c[5])/3 - 
       (485*c[6])/12 - (5*c[7])/6 - (5597*c[8])/36 + (194*c[9])/3 + 
       (667*c[10])/27 + c[11] + (5*c[12])/3 - (7*c[14])/3 + 2*c[15] + 
       c[18]/2 - 2*c[20] + 11*c[21] - (127*c[22])/6 - 20*c[23] - 
       (163*c[24])/12 + (649*c[25])/18 - (673*c[26])/72 - c[28]/12)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((14*c[1])/9 - (74*c[2])/9 + (58*c[3])/9 + (32*c[5])/9 - (49*c[6])/12 + 
       (28*c[7])/9 - (47*c[8])/24 + c[9] - (22*c[10])/3 - (26*c[12])/9 + 
       (26*c[14])/9 - c[15] + c[18]/4 + c[21]/2 - c[22]/2 + (17*c[23])/6 + 
       (23*c[24])/18 - (287*c[25])/36 + (163*c[26])/24)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-9*c[1])/2 + (37*c[2])/18 + (13*c[3])/18 + 10*c[5] - (55*c[6])/12 - 
       (19*c[7])/3 - (175*c[8])/9 - (209*c[9])/12 + (175*c[10])/54 + 
       (11*c[12])/3 - (13*c[22])/3 + c[23] + (47*c[24])/12 + (269*c[25])/18 - 
       (905*c[26])/72)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((-26*c[1])/9 - (35*c[2])/18 + (121*c[3])/18 + 
       (263*c[5])/18 + (19*c[6])/12 - (52*c[7])/9 + (28*c[8])/3 - 
       (33*c[9])/4 - 14*c[10] + (11*c[12])/9 - (29*c[14])/9 - 2*c[15] - 
       c[21] - c[22] - (19*c[23])/3 - (241*c[24])/36 - (85*c[25])/9 + 
       (323*c[26])/24)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + (c[2]/2 + (5*c[3])/6 + c[6] - c[7] + (19*c[8])/4 - 
       3*c[9] - (10*c[10])/3 - c[22]/2 - c[23] - c[25]/4 + (3*c[26])/4)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-55*c[1])/2 + 11*c[2] + (62*c[3])/3 + 78*c[5] - 54*c[6] - 9*c[7] - 
       (357*c[8])/2 + 78*c[9] + (86*c[10])/3 - 3*c[11] + c[12] - 2*c[14] - 
       2*c[15] + (3*c[18])/2 - c[20] + 11*c[21] - 22*c[22] - 42*c[23] - 
       (59*c[24])/2 + (109*c[25])/2 - (21*c[26])/2 - c[28]/12)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-43*c[1])/4 + 10*c[2] + (17*c[3])/2 + (57*c[5])/2 - (89*c[6])/4 - 
       (17*c[7])/2 - (611*c[8])/8 + (397*c[9])/8 + (74*c[10])/3 - 
       (5*c[11])/2 + 2*c[12] + c[13]/2 - (7*c[14])/2 + (3*c[15])/2 + 
       c[18]/4 - c[20]/2 + (5*c[21])/2 - (35*c[22])/2 - 11*c[23] - 
       (47*c[24])/4 + (79*c[25])/4 - (27*c[26])/4 - c[28]/24)*
      HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     (c[1]/4 + (43*c[2])/12 + (5*c[3])/4 - (3*c[5])/2 + (3*c[6])/8 - 3*c[7] + 
       (205*c[8])/48 - (117*c[9])/16 + (31*c[10])/36 + c[12] + c[13]/2 - 
       c[15]/2 - c[17]/8 - c[19]/4 + c[22] + (3*c[23])/2 + c[24]/4 + 
       (5*c[25])/12 - (19*c[26])/24)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]^2 + 
     ((-28*c[1])/3 + (83*c[2])/6 + 4*c[3] + (59*c[5])/3 - (49*c[6])/4 + 
       (7*c[7])/3 - (143*c[8])/2 + (87*c[9])/2 + (40*c[10])/3 + 
       (29*c[12])/6 - c[13]/2 - (23*c[14])/6 + c[15] + c[18]/4 - c[20] + 
       (9*c[21])/2 - 8*c[22] - (17*c[23])/2 - (17*c[24])/3 + (40*c[25])/3 - 
       (25*c[26])/8 - c[28]/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2 + ((19*c[1])/8 - 5*c[2] + (41*c[3])/12 + 
       (5*c[5])/2 + c[7]/2 + 6*c[8] + (3*c[9])/8 - (31*c[10])/6 - 
       (3*c[12])/2 + c[14]/2 - c[15]/2 + c[18]/8 - c[21]/4 - c[22]/2 + 
       (7*c[23])/4 + (3*c[24])/4 - c[25]/8 + (27*c[26])/8)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w]^2 + ((-15*c[1])/4 - (4*c[2])/3 - (17*c[3])/6 + 
       (3*c[5])/2 - (15*c[6])/4 - (5*c[7])/2 - (121*c[8])/12 - (27*c[9])/4 + 
       (65*c[10])/9 + c[11]/2 + c[12]/2 + 3*c[22] + 2*c[23] + (7*c[24])/4 + 
       (91*c[25])/12 - (107*c[26])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2 + (-c[1]/6 + (7*c[2])/6 - c[3] + (10*c[5])/3 + 
       (15*c[6])/4 - (10*c[7])/3 + (21*c[8])/4 + c[9]/2 - (11*c[10])/3 - 
       c[11]/2 - c[12]/3 - c[14]/6 - c[18]/4 + c[21]/2 - c[22] - 
       (15*c[23])/2 - (43*c[24])/12 - (73*c[25])/12 + (25*c[26])/8)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2 + 
     (-c[2]/4 + (5*c[3])/4 - c[6]/8 - c[8]/8 + (3*c[9])/4 - (13*c[10])/12 - 
       c[24]/8 + c[25]/8 + c[26]/16)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2 + 
     (-22*c[1] + 13*c[2] + (11*c[3])/2 + (85*c[5])/2 - (83*c[6])/4 + 8*c[7] - 
       (511*c[8])/8 + (489*c[9])/8 + 12*c[10] + 2*c[11] + 3*c[12] - 2*c[14] + 
       c[15] + c[18]/2 - c[20]/2 + (5*c[21])/2 - 7*c[22] - 12*c[23] - 
       (47*c[24])/4 + 20*c[25] + (11*c[26])/4 - c[28]/24)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2 + ((-25*c[1])/4 + c[2] + 12*c[3] + (157*c[5])/4 - 
       (71*c[6])/4 + (5*c[7])/2 - (285*c[8])/4 + (575*c[9])/8 + 
       (63*c[10])/4 + 3*c[11] + (7*c[12])/2 - c[13] - (3*c[14])/2 + c[15]/2 + 
       c[18]/2 - (3*c[20])/2 + (11*c[21])/2 - (35*c[22])/2 - 5*c[23] - 
       (13*c[24])/2 + (23*c[25])/4 + 7*c[26] - c[28]/24)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2 + (-10*c[1] + (61*c[2])/6 - (8*c[3])/3 + 
       (32*c[5])/3 - (23*c[6])/6 - c[7]/6 - (401*c[8])/24 + (233*c[9])/8 + 
       (31*c[10])/3 - (5*c[11])/6 + 4*c[12] + c[13]/6 - (5*c[14])/2 + 
       (7*c[15])/6 - c[20]/3 + (3*c[21])/2 - (9*c[22])/2 - (13*c[23])/3 - 
       (13*c[24])/3 + (15*c[25])/4 + (17*c[26])/8 - c[28]/72)*
      HPL[{0, 1}, 1 - w]^3 + ((-2*c[2])/3 + (2*c[3])/9 - c[6]/6 + 2*c[7] + 
       c[8]/6 + (5*c[9])/2 + (2*c[10])/9 - 2*c[22] - c[24]/2 - c[25]/3 + 
       (13*c[26])/12)*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - u] + 
     ((31*c[1])/6 + 2*c[2] + (22*c[3])/3 - (7*c[5])/3 - (37*c[6])/2 + 
       (10*c[7])/3 - (155*c[8])/6 + 3*c[9] - (67*c[10])/9 - (2*c[12])/3 + 
       c[13] + (8*c[14])/3 + c[21] - c[22] + 4*c[23] + (35*c[24])/6 - 
       (43*c[25])/3 + (65*c[26])/12)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u] + ((17*c[1])/6 - (581*c[2])/36 + (55*c[3])/36 + 
       (35*c[5])/6 + (9*c[6])/2 - (13*c[7])/12 + (271*c[8])/36 - 10*c[9] - 
       (989*c[10])/108 + (11*c[12])/6 + (4*c[14])/3 - c[19] + 3*c[21] - 
       (5*c[22])/12 - 2*c[23] - (11*c[24])/6 - (65*c[25])/18 + 
       (217*c[26])/36)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - u] + ((13*c[1])/72 + (25*c[2])/36 - (2*c[3])/9 - 
       (22*c[5])/9 + c[6]/2 - (5*c[7])/9 + c[8]/2 - (3*c[9])/2 + 
       (20*c[10])/9 + (5*c[12])/18 - (5*c[14])/18 - (5*c[23])/6 - c[24]/18 + 
       (10*c[25])/9 - (7*c[26])/6)*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - u] + 
     (3*c[1] - (32*c[2])/3 + (20*c[3])/3 - 3*c[5] - (3*c[6])/2 + 5*c[7] - 
       (139*c[8])/6 + (11*c[9])/2 + (13*c[10])/9 - 2*c[12] - c[20] - c[22] - 
       (3*c[24])/2 + (2*c[25])/3 + (19*c[26])/12)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((11*c[1])/3 - 6*c[2] + (34*c[3])/3 - (7*c[5])/3 + 3*c[6] + 
       (34*c[7])/3 + (56*c[8])/3 - 6*c[9] - (13*c[10])/9 - (8*c[12])/3 + 
       (2*c[14])/3 - 2*c[15] + 2*c[22] + 6*c[23] - (20*c[24])/3 - 
       (40*c[25])/3 + (59*c[26])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (c[1]/3 - (10*c[2])/3 + (7*c[3])/3 + (10*c[5])/3 - 2*c[6] + (8*c[7])/3 - 
       2*c[8] + 6*c[9] - (13*c[10])/3 - (4*c[12])/3 + (4*c[14])/3 + 4*c[23] + 
       (2*c[24])/3 - (16*c[25])/3 + 5*c[26])*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((-3*c[1])/2 + (97*c[2])/12 - (185*c[3])/36 + (3*c[5])/2 + 
       (53*c[6])/12 - (49*c[7])/12 + (43*c[8])/3 - (149*c[9])/12 - 
       (13*c[10])/12 + (5*c[12])/6 - c[19] + (9*c[22])/4 + (23*c[24])/12 + 
       2*c[25] - (15*c[26])/8)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u] + ((-5*c[1])/8 + (9*c[2])/4 - (17*c[3])/9 - 
       (9*c[5])/2 + (4*c[6])/3 - (5*c[7])/3 + (4*c[8])/3 - 4*c[9] + 
       (19*c[10])/6 + (5*c[12])/6 - (5*c[14])/6 - (5*c[23])/3 - c[24]/3 + 
       (10*c[25])/3 - (17*c[26])/6)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u] + ((2*c[3])/9 - (2*c[10])/9)*HPL[{1}, 1 - w]^3*
      HPL[{0, 0, 1}, 1 - u] + (-3*c[1] - (2*c[2])/3 + 8*c[3] + c[6] - 
       6*c[7] + (97*c[8])/3 - 9*c[9] - (50*c[10])/9 - 2*c[12] + 2*c[13] + 
       3*c[15] - 3*c[24] + (11*c[25])/3 + (5*c[26])/6)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     ((109*c[1])/6 + (40*c[2])/3 - c[3] - (16*c[5])/3 + c[6] + (4*c[7])/3 - 
       10*c[8] - 37*c[9] + (14*c[10])/3 - 2*c[11] + (13*c[12])/3 - 
       (4*c[14])/3 - c[15] - 2*c[18] + 6*c[21] + 8*c[23] + (19*c[24])/3 - 
       (35*c[25])/3 - (5*c[26])/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u] + (-8*c[2] + (4*c[3])/3 + 4*c[8] - 2*c[12] + 
       2*c[14] + 6*c[25])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u] + (-c[1] + (55*c[2])/18 + (67*c[3])/18 - 
       12*c[6] - (15*c[7])/2 + (119*c[8])/9 - 29*c[9] + (13*c[10])/54 - 
       4*c[11] + (7*c[12])/3 + 2*c[13] - 4*c[14] - c[15] + 4*c[21] - 
       (41*c[22])/6 - 8*c[23] - 3*c[24] - (56*c[25])/9 + (20*c[26])/9)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((-29*c[1])/36 - (71*c[2])/18 + (125*c[3])/9 + (112*c[5])/9 - 
       (58*c[7])/9 - 11*c[8] - (110*c[10])/3 + 2*c[11] + (38*c[12])/9 - 
       (65*c[14])/9 - 3*c[15] + 2*c[18] + 2*c[21] - (23*c[23])/3 - 
       (4*c[24])/9 + (98*c[25])/9 + (19*c[26])/6)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (-8*c[2] + (8*c[3])/3 - 2*c[6] + 4*c[7] - 6*c[8] + 6*c[9] - 
       (4*c[10])/3 - 2*c[12] + 2*c[14] + 4*c[23] + 2*c[24] - 14*c[25] + 
       5*c[26])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (3*c[1] - (67*c[2])/6 + (55*c[3])/18 + (35*c[6])/6 + (47*c[7])/6 + 
       (85*c[8])/3 + (85*c[9])/6 - (29*c[10])/18 + 4*c[11] - (7*c[12])/3 - 
       2*c[13] + c[15] - (11*c[22])/2 + (11*c[24])/6 - (23*c[25])/3 + 
       (83*c[26])/12)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + ((163*c[1])/12 - (53*c[2])/6 + (185*c[3])/9 + 
       (34*c[5])/3 - (7*c[6])/3 - (2*c[7])/3 - (64*c[8])/3 + 7*c[9] - 
       (118*c[10])/3 - 2*c[11] - (20*c[12])/3 + (23*c[14])/3 - 3*c[15] + 
       2*c[18] + 2*c[21] - (4*c[23])/3 + 3*c[24] - (38*c[25])/3 + 
       (59*c[26])/6)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + (-6*c[1] - (8*c[3])/3 + 2*c[6] - 4*c[7] + 
       6*c[8] - 6*c[9] + (4*c[10])/3 + 2*c[12] - 2*c[14] - 4*c[23] - 
       2*c[24] + 14*c[25] - 5*c[26])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + (c[1] + 18*c[2] - (44*c[3])/3 - 4*c[5] + 
       2*c[7] + 10*c[8] - 25*c[9] + (92*c[10])/3 - 3*c[11] - c[12] + 
       4*c[14] + 2*c[15] - 2*c[18] + 4*c[21] - 8*c[23] - 2*c[24] - 5*c[25] + 
       2*c[26])*HPL[{0, 0, 1}, 1 - u]^2 + 
     ((43*c[2])/18 - (11*c[3])/18 - c[4]/3 + (5*c[6])/8 - (9*c[7])/4 + 
       (67*c[8])/72 - (21*c[9])/8 - (53*c[10])/54 + (5*c[12])/6 + 
       (17*c[22])/12 + (5*c[24])/8 - (5*c[25])/9 - (55*c[26])/144)*
      HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - v] + 
     ((-55*c[1])/72 - (47*c[2])/18 - (61*c[3])/36 + (211*c[5])/36 + 
       (129*c[6])/8 - (73*c[7])/9 + (281*c[8])/8 - (31*c[9])/8 - 
       (5*c[10])/3 - (13*c[12])/9 - (5*c[14])/9 - 3*c[15] - 2*c[19] - c[21] + 
       4*c[22] - (2*c[23])/3 - (143*c[24])/72 + (85*c[25])/18 + 
       (47*c[26])/48)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + (3*c[1] + (49*c[2])/3 + (7*c[3])/3 - 2*c[5] - 
       (17*c[6])/2 - 2*c[7] - (23*c[8])/3 + 12*c[9] + (10*c[10])/9 - 
       3*c[15] - c[20] + 3*c[21] - 7*c[22] - 5*c[23] + (3*c[24])/2 - 
       c[25]/3 - (23*c[26])/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - v] + ((-5*c[1])/6 - (11*c[2])/3 + (8*c[3])/3 + 
       (2*c[5])/3 - (3*c[6])/2 + (7*c[7])/3 - (3*c[8])/2 + (9*c[9])/2 - 
       (29*c[10])/9 + c[12]/3 + c[14]/3 + c[21]/3 + 5*c[23] + (5*c[24])/6 - 
       5*c[25] + (61*c[26])/12)*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v] + 
     ((-4*c[2])/3 + (5*c[3])/3 - c[6] + 2*c[7] - c[8]/3 + c[9] - 
       (7*c[10])/9 - 2*c[22] - c[24] + (4*c[25])/3 + c[26]/6)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((31*c[1])/3 - (4*c[2])/3 + 4*c[3] - (68*c[5])/3 - 6*c[6] + (8*c[7])/3 - 
       4*c[8] + c[9] + 12*c[10] + (2*c[12])/3 + 2*c[13] + (4*c[14])/3 - 
       2*c[15] - 2*c[22] + 14*c[23] + (26*c[24])/3 - (37*c[25])/3 + 8*c[26])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((-9*c[1])/2 - 7*c[2] + (10*c[3])/3 - c[5] - 3*c[6] + c[7] + 
       (11*c[8])/2 - 9*c[9] + 6*c[10] - c[11] - c[12] + c[13] - 3*c[21] + 
       3*c[23] - 4*c[24] + 16*c[25] - c[26])*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((-17*c[2])/18 + (5*c[3])/9 + (7*c[6])/24 + (5*c[7])/12 + (31*c[8])/72 + 
       (53*c[9])/24 + (2*c[10])/27 - (5*c[12])/6 + (5*c[22])/12 + 
       (7*c[24])/24 - (5*c[25])/9 + (17*c[26])/144)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((251*c[1])/72 + (5*c[2])/9 - (85*c[3])/36 + (13*c[5])/36 + 
       (101*c[6])/24 - (41*c[7])/18 + (53*c[8])/24 - (41*c[9])/8 - 
       (4*c[10])/3 - (5*c[12])/18 + (5*c[14])/18 + c[21] + c[23]/6 + 
       (283*c[24])/72 - (89*c[25])/18 - (59*c[26])/48)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((3*c[1])/2 + (85*c[2])/9 + (49*c[3])/9 - 9*c[5] + (23*c[6])/4 - 
       (29*c[7])/2 - (53*c[8])/36 + (61*c[9])/4 + (61*c[10])/27 + 
       (5*c[12])/3 + 3*c[13] - 12*c[15] - c[17] - 2*c[19] + (11*c[22])/6 + 
       3*c[23] + (3*c[24])/4 - (257*c[25])/18 + (551*c[26])/72)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((-115*c[1])/36 + (67*c[2])/9 + (59*c[3])/18 - (17*c[5])/18 + 
       (29*c[6])/4 - (32*c[7])/9 + (137*c[8])/4 - (47*c[9])/4 + (8*c[10])/3 - 
       6*c[11] + (34*c[12])/9 - (52*c[14])/9 - 6*c[15] - 2*c[20] + 6*c[21] - 
       (40*c[23])/3 - (11*c[24])/36 - (17*c[25])/9 + (35*c[26])/24)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (20*c[8] - 6*c[9] - 4*c[22] + 8*c[25] - 2*c[26])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (c[1]/2 + (28*c[2])/3 - (34*c[3])/3 - 3*c[5] + (3*c[6])/2 + 10*c[7] - 
       (77*c[8])/3 + (11*c[9])/2 + (88*c[10])/9 + c[13] + c[17] + 2*c[19] + 
       c[22] + c[23] + c[24]/2 - (29*c[25])/6 + (31*c[26])/12)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((-37*c[1])/3 - (38*c[2])/3 - (4*c[5])/3 - 15*c[6] - (20*c[7])/3 - 
       2*c[8] - 8*c[9] + (20*c[10])/3 + 10*c[11] - (2*c[12])/3 + 
       (20*c[14])/3 - 2*c[20] - 6*c[21] + 16*c[23] - (23*c[24])/3 + 
       (4*c[25])/3 + (13*c[26])/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + ((8*c[3])/3 + 4*c[6] - 8*c[7] + 24*c[8] - 
       2*c[9] - (8*c[10])/3 + 2*c[25] - 2*c[26])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((3*c[1])/2 + (25*c[2])/9 + (100*c[3])/9 - 9*c[5] - (83*c[6])/12 - 
       (31*c[7])/6 - (1385*c[8])/36 - (61*c[9])/12 + (28*c[10])/27 - 
       (5*c[12])/3 + 3*c[13] - c[17] + 2*c[19] - c[22]/6 + 3*c[23] - 
       (47*c[24])/12 + (301*c[25])/18 - (385*c[26])/72)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((11*c[1])/36 - (128*c[2])/9 - (97*c[3])/18 + (19*c[5])/18 - 
       (55*c[6])/12 + (127*c[7])/9 - (19*c[8])/12 + (47*c[9])/4 + 
       (37*c[10])/3 + 10*c[11] - (35*c[12])/9 + (53*c[14])/9 + 2*c[20] - 
       2*c[21] + (37*c[23])/3 + (127*c[24])/36 - (74*c[25])/9 + 
       (169*c[26])/24)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + (2*c[6] - 4*c[7] + 14*c[8] - 4*c[9] + 2*c[24] - 
       2*c[25] - c[26])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + (-c[1] + 6*c[2] - c[5] + 2*c[6] - 4*c[7] + 
       3*c[8] - 5*c[9] + (17*c[10])/3 - 10*c[11] + 2*c[12] + 2*c[13] - 
       4*c[14] - 6*c[15] - 2*c[20] + 4*c[21] - 8*c[23] - 2*c[24] + 2*c[25] - 
       c[26])*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (-c[1] - 6*c[2] - (20*c[3])/3 + 6*c[5] - c[6] + 10*c[7] - 25*c[8] - 
       (25*c[9])/2 + (4*c[10])/3 - 2*c[13] + c[17] - c[19] - 2*c[23] - 
       (5*c[25])/2 - c[26]/2)*HPL[{0, 0, 1}, 1 - v]^2 + 
     (-c[2]/4 - (37*c[3])/36 + (53*c[6])/24 - c[7]/6 + (35*c[8])/8 + 
       (7*c[9])/24 + (43*c[10])/36 - (5*c[12])/6 - 2*c[15] + c[16]/3 - 
       (5*c[19])/3 + c[22] + (5*c[24])/24 - (5*c[25])/6 + (25*c[26])/48)*
      HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - w] + 
     ((23*c[1])/12 - (11*c[2])/4 + (5*c[3])/36 - c[5]/12 + (19*c[6])/24 + 
       2*c[7] - (373*c[8])/24 + (29*c[9])/8 - (11*c[10])/18 - 3*c[13] + 
       4*c[15] + 2*c[19] - 4*c[22] - (5*c[23])/6 + (19*c[24])/24 - 
       (20*c[25])/3 + (33*c[26])/16)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + ((-8*c[1])/3 - (101*c[2])/36 + (43*c[3])/36 - 
       (13*c[5])/6 + (29*c[6])/24 + 3*c[7] + (1019*c[8])/72 - (269*c[9])/24 - 
       (77*c[10])/108 - c[12]/2 + (4*c[14])/3 - 2*c[15] - c[22]/6 + 4*c[23] + 
       (3*c[24])/8 - (47*c[25])/18 + (391*c[26])/144)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((29*c[1])/36 - (17*c[2])/36 - (47*c[3])/36 + (11*c[5])/36 + 
       (37*c[6])/24 - (25*c[7])/18 + (37*c[8])/24 - (45*c[9])/8 + 
       (11*c[10])/18 + (10*c[12])/9 - (10*c[14])/9 - (5*c[23])/3 + 
       (11*c[24])/72 + (16*c[25])/9 - (103*c[26])/48)*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - w] + ((16*c[2])/3 + c[3] + 2*c[5] + (3*c[6])/2 - 
       c[7] - (85*c[8])/6 - 7*c[9] - (56*c[10])/9 + 2*c[12] + 2*c[15] + 
       2*c[22] + (3*c[24])/2 - (35*c[25])/6 + (7*c[26])/12)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((-4*c[1])/3 - 6*c[2] + (14*c[3])/3 + (29*c[5])/3 - 15*c[6] - 
       (14*c[7])/3 + (31*c[8])/6 - c[9]/2 - (85*c[10])/9 - (8*c[12])/3 + 
       (2*c[14])/3 + 2*c[15] + 2*c[21] - 4*c[22] - 4*c[23] - (2*c[24])/3 + 
       (17*c[25])/3 - (4*c[26])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((22*c[1])/3 + (11*c[2])/3 + (10*c[3])/3 - c[5]/6 + (2*c[7])/3 - 
       c[8]/2 + 4*c[9] - (5*c[10])/2 - (4*c[12])/3 + (4*c[14])/3 - 2*c[21] + 
       8*c[23] + (19*c[24])/6 - (65*c[25])/6 + (35*c[26])/4)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((3*c[1])/2 - (11*c[2])/3 + (2*c[3])/3 - 4*c[5] - (3*c[6])/2 - c[7] - 
       (37*c[8])/6 + (37*c[9])/2 + (49*c[10])/9 - c[11] - c[12] - 4*c[22] + 
       (3*c[24])/2 - c[25]/3 - (23*c[26])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-25*c[1])/3 - (2*c[2])/3 - (10*c[3])/3 - c[5]/3 - (3*c[6])/2 + 
       (10*c[7])/3 + (5*c[8])/2 - (5*c[9])/2 + (13*c[10])/3 - (2*c[12])/3 + 
       (2*c[14])/3 + 4*c[23] - (13*c[24])/6 + (37*c[25])/3 - (7*c[26])/4)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     (-3*c[1] + c[2]/6 - (61*c[3])/18 - (7*c[6])/12 + (11*c[7])/3 - 
       (607*c[8])/12 + (235*c[9])/12 + (131*c[10])/18 - (5*c[12])/3 - 
       2*c[19] + 4*c[20] + 2*c[22] - (31*c[24])/12 - (13*c[25])/3 + 
       (53*c[26])/24 + c[27])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + ((13*c[1])/6 - (37*c[2])/6 - (103*c[3])/18 + 
       c[5]/6 + (55*c[6])/12 - (4*c[7])/3 + (535*c[8])/12 - (31*c[9])/4 + 
       2*c[10] - (4*c[12])/3 + (10*c[14])/3 - 2*c[20] + 2*c[21] - 4*c[22] - 
       (11*c[23])/3 + (5*c[24])/4 + (8*c[25])/3 + (7*c[26])/24)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     ((4*c[3])/3 + 2*c[6] - 8*c[9] - (16*c[10])/3 - 2*c[12] + 2*c[14] + 
       4*c[21] - 8*c[23] - 2*c[24] - c[25] + c[26])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     (-3*c[1] - (149*c[2])/18 - (29*c[3])/18 - (19*c[6])/12 + (8*c[7])/3 - 
       (325*c[8])/36 - (113*c[9])/12 - (407*c[10])/54 + (5*c[12])/3 - 
       4*c[13] + 2*c[19] - 8*c[20] - c[22]/3 + (5*c[24])/12 - (83*c[25])/9 + 
       (187*c[26])/72 - c[27])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + ((71*c[1])/18 + (211*c[2])/18 + (85*c[3])/18 - 
       c[5]/18 + (25*c[6])/12 + (35*c[7])/9 + (97*c[8])/12 - c[9]/4 + 
       (11*c[10])/3 + (8*c[12])/9 + 4*c[13] - (26*c[14])/9 + 2*c[20] - 
       2*c[21] + (20*c[23])/3 + (71*c[24])/36 + (11*c[25])/9 + (5*c[26])/24)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (6*c[1] - 2*c[6] + 2*c[8] + 2*c[24] - c[25] + c[26])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (9*c[1] - (50*c[2])/3 + 4*c[3] - 7*c[6] + 18*c[7] - (98*c[8])/3 + 
       9*c[9] + (4*c[10])/9 - 4*c[12] + 4*c[14] + 8*c[20] - 2*c[22] + c[24] - 
       (64*c[25])/3 + (47*c[26])/6 + c[27])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((-37*c[1])/3 + (64*c[2])/3 + (20*c[3])/3 - (4*c[5])/3 - 12*c[6] - 
       (44*c[7])/3 + 14*c[8] - 7*c[9] - 6*c[10] + (4*c[12])/3 + 2*c[13] - 
       (10*c[14])/3 - 2*c[20] - 6*c[21] + 16*c[23] - (20*c[24])/3 - 
       (5*c[25])/3 + 8*c[26])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + (-c[1] - 4*c[2] - (28*c[3])/3 + 6*c[5] + 
       10*c[6] - 10*c[7] + 15*c[8] - 3*c[9] - (20*c[10])/3 + 2*c[13] + 
       4*c[14] - 8*c[20] + 4*c[21] - 8*c[23] - 2*c[24] + 4*c[25] - 3*c[26])*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     (9*c[1] - 8*c[2] + (16*c[3])/3 - 9*c[5] - 3*c[6] + 6*c[7] + 6*c[8] - 
       3*c[9] + (7*c[10])/3 - 2*c[11] - 2*c[12] - 18*c[20] + 4*c[23] + 
       6*c[24] - 12*c[25] + 3*c[26] - 2*c[27])*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + (3*c[1] - 7*c[2] + (17*c[3])/3 + 6*c[5] + 
       8*c[6] + 11*c[7] - (41*c[8])/2 - (11*c[9])/2 + (13*c[10])/3 - 
       3*c[13] - 2*c[14] + c[17] - c[19] + c[20] - 2*c[23] - (5*c[25])/2 - 
       c[26]/2)*HPL[{0, 0, 1}, 1 - w]^2 + 
     (c[4]*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - u])/3 + 
     ((-29*c[2])/3 + (7*c[3])/3 + c[5] - 12*c[6] + 9*c[7] - (107*c[8])/3 + 
       17*c[9] + (34*c[10])/9 - 2*c[12] + c[15] + c[17]/2 + 3*c[19] - 
       6*c[22] - c[24] + (2*c[25])/3 + (5*c[26])/6)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((14*c[1])/3 + (151*c[2])/36 - (89*c[3])/36 - (5*c[5])/6 + 23*c[6] + 
       (7*c[7])/12 + (2815*c[8])/36 + 2*c[9] - (101*c[10])/108 - 
       (3*c[12])/2 + (2*c[14])/3 - c[15] + (19*c[22])/12 + 2*c[23] + 
       (4*c[24])/3 - (137*c[25])/18 + (53*c[26])/18)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((-119*c[1])/72 - (71*c[2])/36 + (23*c[3])/9 + (17*c[5])/9 - 
       (8*c[6])/3 + (19*c[7])/9 - (8*c[8])/3 + (46*c[9])/3 - (20*c[10])/9 - 
       (19*c[12])/18 + (19*c[14])/18 + (19*c[23])/6 - (5*c[24])/9 - 
       (32*c[25])/9 + (59*c[26])/12)*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - u] + ((14*c[2])/3 - 4*c[7] + (8*c[8])/3 - 8*c[9] - 
       (28*c[10])/9 + 2*c[12] + 2*c[22] + (4*c[25])/3 - (4*c[26])/3)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((-2*c[1])/3 + (28*c[2])/3 - (10*c[3])/3 - (14*c[5])/3 + 30*c[6] - 
       (28*c[7])/3 + (371*c[8])/3 - 27*c[9] - (70*c[10])/9 + (2*c[12])/3 - 
       2*c[13] - (2*c[14])/3 + 2*c[15] + 10*c[22] - 2*c[23] - (13*c[24])/3 - 
       c[25] + (19*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + ((13*c[1])/3 + (38*c[2])/3 - (65*c[3])/3 - 
       (143*c[5])/3 - c[6]/2 - (10*c[7])/3 + (43*c[8])/2 - 25*c[9] + 
       9*c[10] + (8*c[12])/3 + (16*c[14])/3 + 8*c[15] - c[18]/2 + c[21] + 
       2*c[22] + 8*c[23] + (103*c[24])/6 + (53*c[25])/3 - (89*c[26])/4)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((11*c[2])/4 + (7*c[3])/36 + (7*c[5])/2 - c[6]/12 + (47*c[7])/12 - 
       (9*c[8])/2 + c[9]/12 - (139*c[10])/36 + (5*c[12])/6 - (11*c[22])/4 - 
       2*c[23] - (31*c[24])/12 + (4*c[25])/3 - (11*c[26])/24)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((-7*c[1])/24 - (37*c[2])/12 + (19*c[3])/9 + (7*c[5])/3 + (11*c[6])/6 - 
       c[7] + (29*c[8])/6 + (9*c[9])/2 - (8*c[10])/3 - c[12]/2 + c[14]/2 + 
       2*c[22] + (7*c[23])/3 - (7*c[24])/6 - (11*c[25])/2 + (59*c[26])/12)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     (-c[1] - (37*c[2])/3 + (23*c[3])/3 + 6*c[5] + (9*c[6])/2 + 15*c[7] - 
       (157*c[8])/3 + 21*c[9] - (79*c[10])/9 - 2*c[13] + 4*c[15] + c[17] + 
       2*c[19] - 3*c[22] - 2*c[23] - (3*c[24])/2 - (17*c[25])/3 - 
       (37*c[26])/12)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + ((4*c[1])/3 - c[2]/3 - 14*c[3] - (164*c[5])/3 + 
       33*c[6] + (50*c[7])/3 + 115*c[8] - 51*c[9] + (46*c[10])/3 + 
       (8*c[12])/3 + 2*c[13] - (32*c[14])/3 + 14*c[15] - 6*c[18] + 2*c[20] - 
       23*c[21] - 14*c[22] + 49*c[23] + (38*c[24])/3 - (88*c[25])/3 + 
       12*c[26] + c[28]/6)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (c[6] + 17*c[8] - 16*c[9] - 6*c[10] - 2*c[22] - 
       c[24] + 11*c[25] - (7*c[26])/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (-c[1] + (205*c[2])/18 - (167*c[3])/18 + 
       6*c[5] + (7*c[6])/2 + (7*c[7])/2 + (131*c[8])/9 - 30*c[9] - 
       (413*c[10])/54 + (19*c[12])/3 - 2*c[13] + 4*c[15] + c[17] + 2*c[19] - 
       (11*c[22])/6 - 2*c[23] + (9*c[24])/2 + (4*c[25])/9 - (241*c[26])/36)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((-95*c[1])/36 + (295*c[2])/18 - (274*c[3])/9 - (458*c[5])/9 + 27*c[6] - 
       (46*c[7])/9 + (257*c[8])/2 - 105*c[9] + 14*c[10] + (41*c[12])/9 + 
       2*c[13] - (77*c[14])/9 + 2*c[15] - 4*c[18] + 6*c[20] - 21*c[21] + 
       8*c[22] + (94*c[23])/3 + (98*c[24])/9 + (128*c[25])/9 - 
       (149*c[26])/6 + c[28]/6)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + ((8*c[3])/3 - 2*c[6] - 8*c[7] + (49*c[8])/2 - 
       12*c[9] - (38*c[10])/3 - 2*c[22] + c[24] - 6*c[25] + 4*c[26])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (-c[1] - (133*c[2])/6 - (71*c[3])/18 + 6*c[5] - (2*c[6])/3 + 
       (149*c[7])/6 - (89*c[8])/3 + (259*c[9])/6 + (169*c[10])/18 - 
       (19*c[12])/3 - 2*c[13] + c[17] - 2*c[19] - (5*c[22])/2 - 2*c[23] - 
       (2*c[24])/3 - (32*c[25])/3 + (17*c[26])/3)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((157*c[1])/12 - (83*c[2])/6 - (238*c[3])/9 - (140*c[5])/3 + 
       (77*c[6])/3 + (10*c[7])/3 + (413*c[8])/3 - 68*c[9] + 14*c[10] - 
       (23*c[12])/3 - 2*c[13] + (11*c[14])/3 - 2*c[15] - 4*c[18] + 6*c[20] - 
       21*c[21] + 8*c[22] + (113*c[23])/3 + 15*c[24] - (20*c[25])/3 - 
       (26*c[26])/3 + c[28]/6)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + (5*c[6] - 8*c[7] + 30*c[8] - 2*c[9] - 
       (26*c[10])/3 - 2*c[22] - 4*c[23] + c[24] - 5*c[25] + (5*c[26])/2)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (17*c[1] - 16*c[2] - (28*c[3])/3 + 16*c[7] - 50*c[8] + 6*c[9] - 
       (16*c[10])/3 - 4*c[13] + 8*c[14] - 6*c[15] - 2*c[21] + 12*c[23] + 
       10*c[24] - 26*c[25] + 9*c[26])*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (-c[1] - (28*c[3])/3 + 6*c[5] + 5*c[6] + 
       8*c[7] + (121*c[8])/2 - (49*c[9])/2 - 2*c[13] + 8*c[15] + 2*c[17] - 
       2*c[22] - 2*c[23] + 2*c[24] + 7*c[25] - c[26])*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (6*c[1] + 6*c[3] + 13*c[6] + (163*c[8])/2 - 
       (89*c[9])/2 - 8*c[10] + 4*c[12] - 8*c[13] - 4*c[14] - c[18] - 
       4*c[20] + 2*c[21] - 4*c[22] - 2*c[23] + 2*c[24] + 16*c[25] - 
       10*c[26] - 2*c[27])*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (-5*c[2] + (31*c[3])/3 + (21*c[6])/2 - 2*c[7] + (185*c[8])/4 + 
       (25*c[9])/4 - 7*c[10] + 8*c[15] + c[17] + 7*c[19] - 8*c[22] + c[24] + 
       12*c[25] - (3*c[26])/2)*HPL[{0, 1, 1}, 1 - u]^2 + 
     ((-23*c[2])/18 + (3*c[3])/2 - (137*c[6])/24 - (7*c[7])/12 + 
       (355*c[8])/72 + (73*c[9])/24 - (35*c[10])/54 + (5*c[12])/6 + 
       (2*c[15])/3 + c[17]/6 + (4*c[19])/3 - (35*c[22])/12 - (3*c[24])/8 + 
       (7*c[25])/9 - (31*c[26])/144)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1, 1}, 1 - v] + ((-247*c[1])/72 - (359*c[2])/18 - 
       (109*c[3])/36 - (29*c[5])/36 + (101*c[6])/8 + (122*c[7])/9 + 
       (121*c[8])/8 - (19*c[9])/8 - (25*c[10])/3 + (11*c[12])/9 + 
       (7*c[14])/9 + 6*c[22] + (7*c[23])/3 - (131*c[24])/72 - (145*c[25])/9 + 
       (347*c[26])/48)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + (c[1] + 13*c[2] + (5*c[3])/3 - 2*c[6] - 
       6*c[7] - 2*c[8] + (19*c[9])/2 + 5*c[10] + (17*c[25])/2 - (5*c[26])/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v] - 
     (10*c[10]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - v])/9 + 
     ((27*c[1])/2 + (44*c[2])/3 - c[3]/3 - 6*c[5] + (61*c[6])/2 + 4*c[7] + 
       (785*c[8])/12 - (69*c[9])/4 - (61*c[10])/9 + 17*c[22] + 2*c[23] + 
       c[24] - (59*c[25])/3 + (55*c[26])/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + ((-26*c[1])/3 - (52*c[2])/3 - (64*c[3])/3 - 
       (110*c[5])/3 + (8*c[7])/3 + 3*c[8] - c[9] + 2*c[10] + (2*c[12])/3 + 
       (22*c[14])/3 + 10*c[15] - c[18] + 2*c[21] + 4*c[22] + 6*c[23] + 
       (44*c[24])/3 + (2*c[25])/3 - 15*c[26])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (3*c[1] - 2*c[2] + (2*c[3])/3 - c[5] - c[6] + 2*c[7] - c[8] + 5*c[9] + 
       (11*c[10])/3 - 2*c[12] + 2*c[14] + 2*c[23] + c[24] - 4*c[25] + 
       (5*c[26])/2)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((-77*c[2])/18 - (37*c[3])/9 - (13*c[5])/2 - (5*c[6])/24 - 
       (43*c[7])/12 + (475*c[8])/72 + (233*c[9])/24 + (547*c[10])/54 - 
       (5*c[12])/6 + (5*c[22])/12 + 2*c[23] + (43*c[24])/24 + (77*c[25])/18 - 
       (139*c[26])/144)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v] + ((59*c[1])/72 - (7*c[2])/9 + (71*c[3])/36 + 
       (43*c[5])/36 - (91*c[6])/24 + (43*c[7])/18 - (187*c[8])/24 + 
       (83*c[9])/8 - (17*c[10])/6 - (29*c[12])/18 + (29*c[14])/18 - 2*c[22] + 
       (19*c[23])/6 + (187*c[24])/72 - (7*c[25])/9 + (13*c[26])/48)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     ((2*c[3])/9 - (2*c[10])/9)*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v] + 
     (4*c[1] - (143*c[2])/9 - (188*c[3])/9 - 48*c[5] + (59*c[6])/4 + 
       (47*c[7])/2 + (2383*c[8])/36 - (133*c[9])/4 + (202*c[10])/27 - 
       (7*c[12])/3 - 8*c[14] + 16*c[15] - 3*c[18] + 4*c[20] - 26*c[21] + 
       (47*c[22])/6 + 60*c[23] + (59*c[24])/4 - (454*c[25])/9 + 
       (2003*c[26])/72 + c[28]/6)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + ((149*c[1])/36 + (46*c[2])/9 - (73*c[3])/18 - 
       (101*c[5])/18 - (11*c[6])/4 + (10*c[7])/9 + (17*c[8])/4 - (3*c[9])/4 + 
       (16*c[10])/3 + (4*c[12])/9 + (68*c[14])/9 + 2*c[15] - c[18] + 
       5*c[21] + (5*c[23])/3 + (121*c[24])/36 - (155*c[25])/9 + 
       (215*c[26])/24)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + (-8*c[2] + (4*c[3])/3 - c[6] + 7*c[8] + 
       10*c[9] + 6*c[10] - 2*c[12] + 2*c[14] - 2*c[22] + c[24] + 3*c[25] + 
       (3*c[26])/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + (-25*c[1] - (49*c[2])/3 - 31*c[3] - 28*c[5] - 
       (19*c[6])/2 + 16*c[7] + (259*c[8])/6 - 70*c[9] - c[10]/9 - 2*c[12] + 
       4*c[13] - 6*c[14] + 4*c[15] - c[18] + 4*c[20] - 26*c[21] + 11*c[22] + 
       40*c[23] + (15*c[24])/2 - (41*c[25])/3 + (101*c[26])/12 + c[28]/6)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     ((-20*c[1])/3 + (23*c[2])/3 - 9*c[3] - (29*c[5])/3 - 3*c[6] + 
       (17*c[7])/3 + 10*c[8] + 18*c[9] + 21*c[10] - c[12]/3 + (13*c[14])/3 + 
       2*c[15] - c[18] - 9*c[21] + 21*c[23] - (16*c[24])/3 + (29*c[25])/3 + 
       10*c[26])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (-8*c[2] + (8*c[3])/3 + 4*c[6] + 4*c[7] - (13*c[8])/2 + 16*c[9] + 
       (26*c[10])/3 - 2*c[12] + 2*c[14] + 2*c[22] + 4*c[23] + c[24] - 
       6*c[25] - c[26])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + (8*c[1] - (221*c[2])/9 - (263*c[3])/9 - 
       32*c[5] + (313*c[6])/12 + (29*c[7])/6 + (4435*c[8])/36 - 
       (463*c[9])/12 - (299*c[10])/27 - (35*c[12])/3 - 4*c[13] + 10*c[14] - 
       4*c[15] - c[18] + 4*c[20] - 22*c[21] + (107*c[22])/6 + 36*c[23] + 
       (217*c[24])/12 - (319*c[25])/9 + (1139*c[26])/72 + c[28]/6)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((-481*c[1])/36 + (175*c[2])/9 - (289*c[3])/18 - (173*c[5])/18 + 
       (53*c[6])/12 - (47*c[7])/9 + (89*c[8])/12 - (33*c[9])/4 + 
       (65*c[10])/3 + (61*c[12])/9 - (97*c[14])/9 + 2*c[15] - c[18] - 
       5*c[21] - (14*c[23])/3 - (281*c[24])/36 + (193*c[25])/9 - 
       (359*c[26])/24)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (-6*c[1] - (8*c[3])/3 - c[6] - 10*c[8] - 
       8*c[9] + 10*c[10] + 2*c[12] - 2*c[14] + 2*c[22] - c[24] + 17*c[25] - 
       (17*c[26])/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (12*c[1] - 6*c[2] - 6*c[3] - 24*c[5] + c[6] + 
       c[8] - 11*c[9] + (70*c[10])/3 + 2*c[12] + 8*c[14] + 2*c[15] - 
       3*c[18] + 8*c[21] + 6*c[23] + 3*c[24] - 38*c[25] + (25*c[26])/2)*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (8*c[1] + 32*c[2] + 6*c[3] + 4*c[5] + 28*c[6] + 2*c[7] + 62*c[8] - 
       30*c[9] - (2*c[10])/3 - 20*c[11] + 4*c[12] - 16*c[14] + 4*c[20] + 
       16*c[21] - 40*c[23] + 4*c[24] + 14*c[25] - 22*c[26])*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (2*c[1] - 34*c[2] - 10*c[3] + 8*c[5] + 15*c[6] + 6*c[7] - (19*c[8])/2 + 
       (25*c[9])/2 - (16*c[10])/3 - 4*c[12] - 12*c[13] + 8*c[14] + c[18] + 
       2*c[21] + 4*c[22] - 2*c[23] + 2*c[24] - 10*c[25] + 8*c[26])*
      HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (-23*c[1] + 4*c[2] - (40*c[3])/3 + 9*c[5] + 39*c[6] - 30*c[7] + 
       69*c[8] + 26*c[9] - (71*c[10])/3 + 8*c[12] - 4*c[13] + 16*c[14] + 
       6*c[18] - 8*c[20] + 52*c[21] + 10*c[22] - 66*c[23] - 7*c[24] + 
       20*c[25] - (57*c[26])/2 - c[28]/3)*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + ((-5*c[1])/2 - 12*c[2] + 3*c[3] - 3*c[5] - 
       3*c[6] - 12*c[8] + (27*c[9])/2 + c[10] + 4*c[14] - c[18]/2 - 6*c[21] + 
       17*c[23] - 2*c[24] - (39*c[25])/2 + 9*c[26])*HPL[{0, 1, 1}, 1 - v]^2 + 
     ((-7*c[2])/12 - c[3]/36 - (19*c[6])/24 + (5*c[7])/6 + (25*c[8])/24 - 
       (17*c[9])/24 + (5*c[10])/12 - (5*c[12])/6 - (19*c[24])/24 + c[25]/2 + 
       (11*c[26])/16)*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - w] + 
     ((33*c[1])/4 - (25*c[2])/12 + (65*c[3])/36 - (35*c[5])/4 - 
       (17*c[6])/24 + (14*c[7])/3 + (17*c[8])/24 + (15*c[9])/8 + c[10]/18 - 
       (4*c[12])/3 + (4*c[14])/3 + 3*c[22] + (31*c[23])/6 + (83*c[24])/24 - 
       15*c[25] + (113*c[26])/16)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + ((23*c[1])/6 + (463*c[2])/36 - (53*c[3])/36 - 
       (8*c[5])/3 + (125*c[6])/24 - 5*c[7] + (275*c[8])/72 - (473*c[9])/24 + 
       (37*c[10])/108 + (3*c[12])/2 - (2*c[14])/3 - c[18]/2 + c[21] + 
       (29*c[22])/6 - 4*c[23] + (3*c[24])/8 + (49*c[25])/18 - 
       (881*c[26])/144)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - w] + ((95*c[1])/36 - (65*c[2])/36 + (37*c[3])/36 + 
       (23*c[5])/36 + c[6]/24 + (23*c[7])/18 + c[8]/24 + (15*c[9])/8 - 
       (13*c[10])/18 - (2*c[12])/9 + (2*c[14])/9 + (7*c[23])/3 + 
       (95*c[24])/72 - (23*c[25])/9 + (53*c[26])/48)*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - w] + ((-10*c[2])/3 - (4*c[3])/3 + (9*c[5])/2 - 
       c[6] + 8*c[7] - (22*c[8])/3 + 9*c[9] + (25*c[10])/18 - 2*c[12] - 
       4*c[22] - 2*c[23] - 3*c[24] - (2*c[25])/3 + (13*c[26])/6)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((-14*c[1])/3 - 8*c[2] + (16*c[3])/3 + (10*c[5])/3 - 8*c[6] - 
       (10*c[7])/3 - (35*c[8])/3 + 12*c[9] - (20*c[10])/9 + (2*c[12])/3 + 
       (4*c[14])/3 - (10*c[24])/3 + (4*c[25])/3 + (10*c[26])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((-4*c[1])/3 + (4*c[2])/3 - (4*c[3])/3 - (35*c[5])/6 - (3*c[6])/2 - 
       (2*c[7])/3 - 6*c[8] + 5*c[9] + (25*c[10])/6 + (4*c[12])/3 - 
       (4*c[14])/3 - 2*c[22] + (4*c[24])/3 + (16*c[25])/3 - 4*c[26])*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (c[5] - c[10]/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w] + ((2*c[3])/3 - (2*c[10])/3)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w] + 
     ((43*c[2])/6 + (17*c[3])/18 + (23*c[6])/12 - (37*c[7])/3 - 
       (187*c[8])/12 - (197*c[9])/12 - (211*c[10])/18 + (19*c[12])/3 + 
       9*c[22] + (11*c[24])/12 - (10*c[25])/3 - (25*c[26])/24)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((73*c[1])/6 + (77*c[2])/6 - (31*c[3])/18 - (59*c[5])/6 + (43*c[6])/12 - 
       (22*c[7])/3 + (19*c[8])/12 - (51*c[9])/4 + (16*c[10])/3 + 2*c[11] + 
       (14*c[12])/3 + (4*c[14])/3 - c[18] + 5*c[21] - 2*c[22] - 
       (14*c[23])/3 + (5*c[24])/4 - (28*c[25])/3 - (89*c[26])/24)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((-179*c[2])/18 - (83*c[3])/18 - (37*c[6])/12 + (38*c[7])/3 - 
       (583*c[8])/36 + (187*c[9])/12 + (67*c[10])/54 - (19*c[12])/3 + 
       (8*c[22])/3 - (37*c[24])/12 - (113*c[25])/9 + (985*c[26])/72)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((-133*c[1])/18 - (35*c[2])/18 - (167*c[3])/18 - (97*c[5])/18 + 
       (61*c[6])/12 - (7*c[7])/9 + (7*c[8])/12 + (71*c[9])/4 + 23*c[10] + 
       2*c[11] + (2*c[12])/9 - (20*c[14])/9 - c[18] - 5*c[21] + 2*c[22] - 
       (7*c[23])/3 - (277*c[24])/36 + (221*c[25])/9 - (235*c[26])/24)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((-25*c[2])/3 - (5*c[3])/3 - (11*c[6])/2 + 10*c[7] - (4*c[8])/3 + 
       2*c[9] - (13*c[10])/9 - 3*c[22] - 4*c[23] - (9*c[24])/2 - 
       (5*c[25])/3 + (53*c[26])/12)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((-14*c[1])/3 - (28*c[2])/3 + c[3]/3 - 
       (29*c[5])/3 - 7*c[6] + (29*c[7])/3 - 18*c[8] + 19*c[9] + 
       (59*c[10])/3 - 2*c[11] - (10*c[12])/3 - (8*c[14])/3 - c[18] - 
       9*c[21] + 2*c[22] + 25*c[23] - (10*c[24])/3 + (5*c[25])/3 + 10*c[26])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (13*c[1] + 10*c[2] - 8*c[5] + c[6] - 9*c[8] - 11*c[9] - (14*c[10])/3 + 
       4*c[11] + 12*c[14] - c[18] + 8*c[21] + 6*c[23] + 3*c[24] - 36*c[25] + 
       (25*c[26])/2)*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     (4*c[2] - (16*c[3])/3 + 12*c[6] + 6*c[7] - (5*c[8])/2 + (23*c[9])/2 + 
       (8*c[10])/3 + 4*c[22] - c[24] + (3*c[26])/2)*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + (-16*c[2] - (34*c[3])/3 + 4*c[5] - 2*c[7] + 
       52*c[8] - 52*c[9] - (16*c[10])/3 - 8*c[13])*HPL[{0, 0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + (-15*c[1] + 6*c[2] - (8*c[3])/3 + 10*c[5] - 
       c[6] + 6*c[7] - 13*c[8] + 20*c[9] + (26*c[10])/3 - 2*c[22] - 
       25*c[24] + 14*c[25] + (47*c[26])/2)*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w] + (28*c[1] - 4*c[2] + (88*c[3])/3 + 17*c[5] - 
       11*c[6] + 4*c[7] - 34*c[8] + 35*c[9] - (79*c[10])/3 - 4*c[12] + 
       12*c[14] + 4*c[21] + 20*c[22] + 6*c[23] + 12*c[24] - 42*c[25] + 
       8*c[26])*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (-7*c[2] + 7*c[3] - (7*c[6])/2 - (7*c[8])/2 + 19*c[9] - (7*c[10])/3 - 
       (7*c[24])/2 + (7*c[25])/2 + (7*c[26])/4)*HPL[{0, 1, 1}, 1 - w]^2 + 
     ((-2*c[2])/3 + (2*c[3])/3 - 5*c[6] + 2*c[7] + (25*c[8])/3 + 5*c[9] - 
       (2*c[10])/9 - 2*c[22] - c[24] + (2*c[25])/3 + (5*c[26])/6)*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((-29*c[1])/6 - (154*c[2])/3 + (59*c[3])/3 + (80*c[5])/3 - 6*c[6] + 
       (52*c[7])/3 - (26*c[8])/3 + 47*c[9] - (344*c[10])/9 - (23*c[12])/3 + 
       (26*c[14])/3 - c[15] + 4*c[18] + 4*c[21] - 8*c[22] - 2*c[23] - 
       (8*c[24])/3 - 17*c[25] + (64*c[26])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u] + ((-4*c[1])/3 - (8*c[2])/3 + (2*c[3])/3 - 
       (22*c[5])/3 - 2*c[6] + (4*c[7])/3 - 2*c[8] + 4*c[9] + 6*c[10] - 
       (2*c[12])/3 + (2*c[14])/3 + 2*c[23] - (2*c[24])/3 - (8*c[25])/3 + 
       4*c[26])*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - u] + 
     (14*c[1] + (68*c[2])/3 + (32*c[3])/3 + 12*c[5] + 6*c[7] - (22*c[8])/3 - 
       8*c[9] - (76*c[10])/9 + 2*c[12] - 4*c[14] - 4*c[15] - 4*c[22] - 
       4*c[23] - 8*c[24] - (2*c[25])/3 + (20*c[26])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((-8*c[1])/3 + (2*c[2])/3 + (2*c[3])/3 - (2*c[5])/3 + 3*c[6] - 
       (4*c[7])/3 + 7*c[8] - 8*c[9] - (26*c[10])/3 + (2*c[12])/3 - 
       (2*c[14])/3 + 2*c[22] - (7*c[24])/3 - (4*c[25])/3 + (5*c[26])/2)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((-2*c[3])/3 - 4*c[5] + 4*c[10])*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - u] + ((21*c[1])/2 - 26*c[2] + (85*c[3])/3 + 
       8*c[5] + c[6] - 8*c[7] - 31*c[8] + 10*c[9] - 62*c[10] + 8*c[11] + 
       5*c[12] - 6*c[14] - 5*c[15] + 4*c[18] + 4*c[21] + 2*c[22] + 4*c[23] + 
       7*c[24] - c[25] - (31*c[26])/2)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u] + ((-3*c[1])/2 - 18*c[2] + (77*c[3])/3 + 
       16*c[5] - 8*c[6] - 8*c[7] - (35*c[8])/2 + 4*c[9] - 70*c[10] + 
       8*c[11] + 5*c[12] - 6*c[14] - 5*c[15] + 4*c[18] + 4*c[21] - 2*c[22] - 
       12*c[23] + 3*c[24] - 6*c[25] + 13*c[26])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u] + ((37*c[1])/2 - 18*c[2] + (125*c[3])/3 + 
       24*c[5] - c[6] - 8*c[7] - 4*c[8] + 22*c[9] - (226*c[10])/3 - 8*c[11] - 
       11*c[12] + 10*c[14] - 5*c[15] + 4*c[18] + 4*c[21] - 2*c[22] - 
       12*c[23] + 3*c[24] - 9*c[25] + (31*c[26])/2)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u] + (2*c[2] + (4*c[3])/3 - 2*c[4] - 2*c[7] - 
       2*c[9] - (8*c[10])/3 + 2*c[12])*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1}, 1 - v] + ((-11*c[1])/2 + (10*c[2])/3 + 12*c[3] + 
       7*c[5] + (39*c[6])/2 - 26*c[7] + (205*c[8])/3 - (29*c[9])/2 - 
       (74*c[10])/9 + c[13] - 7*c[15] - 2*c[17] - c[22] - 3*c[23] - 
       (11*c[24])/2 + (133*c[25])/6 - (77*c[26])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((2*c[1])/3 - (14*c[2])/3 + (14*c[3])/3 - (10*c[5])/3 + (10*c[7])/3 - 
       2*c[8] + 14*c[9] - 4*c[10] - (2*c[12])/3 + (2*c[14])/3 + 6*c[23] + 
       (4*c[24])/3 - (20*c[25])/3 + 6*c[26])*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - v] + (-6*c[2] + (22*c[3])/3 - 6*c[5] + 5*c[8] + 
       6*c[9] - (2*c[10])/3 - 2*c[12] + 2*c[23] + 2*c[24])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (8*c[1] + 6*c[2] + (20*c[3])/3 - 24*c[5] - 18*c[6] + 10*c[7] - 66*c[8] + 
       22*c[9] + (50*c[10])/3 - 2*c[12] + 4*c[13] + 2*c[14] - 4*c[15] - 
       4*c[22] + 10*c[23] + 8*c[24] - 8*c[25] + 6*c[26])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((5*c[1])/2 + 10*c[2] + (28*c[3])/3 - 15*c[5] + (5*c[6])/2 - 24*c[7] + 
       42*c[8] + (41*c[9])/2 + (40*c[10])/3 + 5*c[13] - 19*c[15] - 2*c[17] - 
       4*c[19] - 7*c[22] + 5*c[23] + (3*c[24])/2 - (33*c[25])/2 + 
       (55*c[26])/4)*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((5*c[1])/2 + 18*c[2] + (20*c[3])/3 - 15*c[5] + (9*c[6])/2 - 24*c[7] + 
       54*c[8] + (45*c[9])/2 + (44*c[10])/3 + 5*c[13] - 3*c[15] - 2*c[17] + 
       4*c[19] + c[22] + 5*c[23] - c[24]/2 + (31*c[25])/2 - (5*c[26])/4)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((5*c[1])/2 + 10*c[2] + 20*c[3] - 15*c[5] - (35*c[6])/2 - 20*c[7] - 
       42*c[8] - (71*c[9])/2 + (16*c[10])/3 + 5*c[13] - 3*c[15] - 2*c[17] + 
       4*c[19] + c[22] + 9*c[23] - (5*c[24])/2 + (51*c[25])/2 - (49*c[26])/4)*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((-16*c[2])/3 + (2*c[3])/3 - 2*c[4] - c[6] + 4*c[7] - (31*c[8])/3 + 
       7*c[9] + (26*c[10])/9 - 2*c[12] - 2*c[22] - c[24] - (2*c[25])/3 + 
       (13*c[26])/6)*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - w] + 
     ((-38*c[1])/3 - c[3]/3 - (35*c[5])/3 - (9*c[6])/2 - (34*c[7])/3 + 
       (22*c[8])/3 - (13*c[9])/2 - (68*c[10])/9 + (2*c[12])/3 - 3*c[13] + 
       (7*c[14])/3 - 2*c[17] - 3*c[22] + 3*c[23] - (5*c[24])/6 - c[25]/6 + 
       (31*c[26])/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w] + ((8*c[1])/3 - (2*c[2])/3 + (4*c[3])/3 - 
       (4*c[5])/3 + 2*c[6] - (2*c[7])/3 + (4*c[10])/3 + (4*c[12])/3 - 
       (4*c[14])/3 - (2*c[24])/3 + (4*c[25])/3)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - w] + (2*c[1] + (58*c[2])/3 + (34*c[3])/3 + 
       12*c[5] + 23*c[6] - 14*c[7] + (187*c[8])/3 - 3*c[9] - (62*c[10])/9 - 
       4*c[14] - 4*c[15] + 2*c[22] - 4*c[23] - 5*c[24] + (50*c[25])/3 - 
       (19*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + ((-22*c[1])/3 - (8*c[2])/3 - (50*c[3])/3 - 
       (70*c[5])/3 - 22*c[6] + (34*c[7])/3 - 66*c[8] + 22*c[9] + 
       (34*c[10])/3 - (8*c[12])/3 + 4*c[13] + (32*c[14])/3 + 4*c[15] - 
       4*c[22] + 14*c[23] + (28*c[24])/3 - (32*c[25])/3 + 8*c[26])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (2*c[3] - 4*c[5] + 8*c[9] + (4*c[10])/3)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 0, 1}, 1 - w] + (-14*c[1] + 32*c[2] - (35*c[3])/3 - 
       15*c[5] + (7*c[6])/2 - 24*c[7] + 30*c[8] + (35*c[9])/2 + 
       (22*c[10])/3 + c[13] + 5*c[14] - 2*c[17] - 4*c[19] - 7*c[22] + 
       5*c[23] + c[24]/2 - (33*c[25])/2 + (49*c[26])/4)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w] + (-26*c[1] + 16*c[2] - (35*c[3])/3 - 
       15*c[5] - (25*c[6])/2 - 24*c[7] - 34*c[8] - (77*c[9])/2 - 
       (2*c[10])/3 + c[13] + 5*c[14] - 2*c[17] + 4*c[19] + c[22] + 5*c[23] - 
       (7*c[24])/2 + (63*c[25])/2 - (55*c[26])/4)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w] + (-6*c[1] + 24*c[2] - (43*c[3])/3 - 15*c[5] - 
       c[6]/2 - 24*c[7] + 34*c[8] + (51*c[9])/2 - (2*c[10])/3 + c[13] + 
       5*c[14] - 2*c[17] + 4*c[19] + c[22] + 5*c[23] + c[24]/2 + 
       (21*c[25])/2 + (9*c[26])/4)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + (-c[2] - c[3] - (7*c[6])/2 + 4*c[7] - 
       (35*c[8])/4 - (15*c[9])/4 + (5*c[10])/3 + c[17]/2 + c[19] - 4*c[22] - 
       c[24] + 2*c[25] - c[26]/2)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + (-8*c[1] - 32*c[2] - (28*c[3])/3 - 4*c[5] + 
       22*c[6] + 26*c[7] + 38*c[8] + 9*c[9] + (124*c[10])/3 - 10*c[12] - 
       8*c[14] - 4*c[18] + 6*c[20] - 16*c[21] - 6*c[22] + 22*c[23] - 
       9*c[24] + 7*c[25] + 13*c[26] + c[28]/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (c[1]/2 + (5*c[3])/3 + c[5] - 4*c[6] + 2*c[7] - 5*c[8] + (45*c[9])/2 + 
       (7*c[10])/3 - 4*c[12] + 2*c[14] - c[18]/2 - c[21] + c[23] - 3*c[24] - 
       (5*c[25])/2 + (9*c[26])/2)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + (-3*c[1] + (104*c[2])/3 - (10*c[3])/3 + 
       10*c[5] + 36*c[6] - 20*c[7] + (547*c[8])/6 - (49*c[9])/2 - 
       (220*c[10])/9 + 10*c[12] - 2*c[13] + 2*c[20] + 22*c[22] + c[24] - 
       (11*c[25])/3 - (5*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u] + ((-2*c[1])/3 + (74*c[2])/3 - 24*c[3] - 
       (164*c[5])/3 - (34*c[7])/3 + 14*c[8] - 20*c[9] + 8*c[10] + 
       (32*c[12])/3 - (8*c[14])/3 + 8*c[15] + 2*c[21] + (50*c[24])/3 + 
       (83*c[25])/3 - 34*c[26])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u] + (-c[2] + c[3] - c[6]/2 - c[8]/2 + 11*c[9] - 
       c[10]/3 - c[24]/2 + c[25]/2 + c[26]/4)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - u] + (40*c[2] - (62*c[3])/3 - 54*c[5] + 42*c[6] - 
       2*c[7] + 136*c[8] - 102*c[9] + (46*c[10])/3 + 2*c[12] + 4*c[13] - 
       6*c[14] + 20*c[15] - 6*c[18] + 2*c[20] - 12*c[21] + 28*c[23] + 
       11*c[24] - 29*c[25] + 13*c[26] + c[28]/6)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u] + (12*c[1] + 6*c[2] - 32*c[3] - 56*c[5] + 
       34*c[6] + 12*c[7] + (231*c[8])/2 - (173*c[9])/2 + (50*c[10])/3 + 
       2*c[11] - 6*c[12] + 4*c[14] + 2*c[15] - 5*c[18] + 6*c[20] - 16*c[21] + 
       6*c[22] + 42*c[23] + 20*c[24] - 5*c[25] - (19*c[26])/2 + c[28]/6)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (14*c[1] + 4*c[2] - (86*c[3])/3 - 52*c[5] + 27*c[6] - 6*c[7] + 
       (227*c[8])/2 - (199*c[9])/2 + (38*c[10])/3 - 2*c[11] - 2*c[12] - 
       2*c[13] + 4*c[14] - 2*c[15] - 4*c[18] + 4*c[20] - 16*c[21] + 6*c[22] + 
       36*c[23] + 17*c[24] - 2*c[25] - 16*c[26] + c[28]/6)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u] + ((49*c[2])/3 + c[3] - (9*c[6])/2 - 14*c[7] + 
       (79*c[8])/12 - (79*c[9])/4 - (107*c[10])/9 + 10*c[12] + 4*c[15] + 
       c[17]/2 + 3*c[19] + 6*c[22] + 3*c[24] + (2*c[25])/3 - (31*c[26])/6)*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((-37*c[1])/3 - (98*c[2])/3 - (44*c[3])/3 + (32*c[5])/3 + 11*c[6] + 
       (76*c[7])/3 - (13*c[8])/2 + (31*c[9])/2 + (52*c[10])/3 + 2*c[11] - 
       (8*c[12])/3 - (34*c[14])/3 + 4*c[15] - c[18] + 6*c[20] - 26*c[21] + 
       2*c[22] + 24*c[23] - (29*c[24])/3 + (19*c[25])/3 + 12*c[26] + c[28]/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((11*c[1])/2 - 4*c[2] + c[3]/3 - 5*c[5] - 3*c[6] + 6*c[7] - 4*c[8] + 
       (21*c[9])/2 + (25*c[10])/3 - 2*c[12] - c[18]/2 - c[21] + 5*c[23] + 
       2*c[24] - (19*c[25])/2 + 5*c[26])*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - v] + (12*c[1] - (14*c[2])/3 - (22*c[3])/3 + 
       25*c[6] + 20*c[7] + (401*c[8])/6 + (49*c[9])/2 + (94*c[10])/9 - 
       10*c[12] + 8*c[22] - 4*c[24] - (67*c[25])/3 + (49*c[26])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((11*c[1])/3 + (16*c[2])/3 - 32*c[3] - (76*c[5])/3 - (2*c[7])/3 + c[8] + 
       19*c[9] + (22*c[10])/3 + 2*c[11] - (2*c[12])/3 - 2*c[13] + 
       (32*c[14])/3 + 8*c[15] + 2*c[20] + 2*c[21] + 8*c[23] + (40*c[24])/3 - 
       (17*c[25])/3 - 8*c[26])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + (-c[2] - c[3] - c[6]/2 - c[8]/2 + 11*c[9] + 
       (5*c[10])/3 - c[24]/2 + c[25]/2 + c[26]/4)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1, 1}, 1 - v] + (4*c[1] - 4*c[2] - 28*c[3] - 40*c[5] + 
       16*c[6] + 16*c[7] + 58*c[8] - 65*c[9] - (20*c[10])/3 + 8*c[11] + 
       4*c[12] - 8*c[14] + 20*c[15] - 2*c[18] + 6*c[20] - 30*c[21] + 
       16*c[22] + 62*c[23] + 17*c[24] - 43*c[25] + 17*c[26] + c[28]/6)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (4*c[1] - 26*c[2] - (130*c[3])/3 - 32*c[5] + 3*c[6] + 18*c[7] + 
       12*c[8] - (175*c[9])/2 - (14*c[10])/3 + 10*c[11] - 4*c[12] + 4*c[13] + 
       2*c[14] + 2*c[15] - c[18] + 2*c[20] - 34*c[21] + 18*c[22] + 60*c[23] + 
       20*c[24] - 24*c[25] + 7*c[26] + c[28]/6)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v] + (8*c[1] - 16*c[2] - 24*c[3] - 24*c[5] + 
       29*c[6] + 8*c[7] + (237*c[8])/2 - (85*c[9])/2 - 22*c[10] - 10*c[11] - 
       16*c[12] - 2*c[13] + 10*c[14] - 2*c[15] + 4*c[20] - 18*c[21] + 
       18*c[22] + 26*c[23] + 19*c[24] - 34*c[25] + 13*c[26] + c[28]/6)*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((-61*c[2])/3 - (11*c[3])/3 - (5*c[6])/2 + 16*c[7] + (131*c[8])/12 + 
       (125*c[9])/4 + (155*c[10])/9 - 10*c[12] + c[17]/2 - c[19] - 4*c[22] - 
       (20*c[25])/3 + (20*c[26])/3)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1, 1}, 1 - w] + ((28*c[1])/3 - (82*c[2])/3 - (22*c[3])/3 + 
       (88*c[5])/3 + 11*c[6] + (32*c[7])/3 + 66*c[8] - 26*c[9] - 
       (4*c[12])/3 - 6*c[13] - (14*c[14])/3 - 8*c[15] - c[18] + 4*c[20] - 
       22*c[21] + 12*c[22] + 24*c[23] - (10*c[24])/3 - (70*c[25])/3 + 
       (61*c[26])/2 + c[28]/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w] + ((-19*c[1])/2 + 10*c[2] - (25*c[3])/3 - 
       10*c[5] + 8*c[6] - 12*c[7] + 7*c[8] - (27*c[9])/2 + 10*c[10] + 
       10*c[12] - 8*c[14] - c[18]/2 + c[21] - 13*c[23] - 5*c[24] + 
       (43*c[25])/2 - (33*c[26])/2)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1, 1}, 1 - w] + (9*c[1] + 14*c[2] + (28*c[3])/3 + 2*c[5] + 
       12*c[6] + 20*c[7] + 28*c[8] - 16*c[9] - (70*c[10])/3 + 2*c[11] + 
       2*c[12] - 2*c[22] - 10*c[24] - 13*c[25] + 13*c[26])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (18*c[1] - 6*c[2] + 14*c[3] - 12*c[5] - 5*c[6] + 2*c[7] + 5*c[8] + 
       16*c[9] - (44*c[10])/3 + 2*c[11] + 2*c[14] + c[18] - 2*c[21] + 
       20*c[23] + 19*c[24] - 15*c[25] + (9*c[26])/2)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (c[2] - 5*c[3] + c[6]/2 + c[8]/2 - 3*c[9] + (13*c[10])/3 + c[24]/2 - 
       c[25]/2 - c[26]/4)*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w] + 
     (38*c[1] - 18*c[2] + 4*c[3] - 40*c[5] + 21*c[6] + 16*c[7] + 88*c[8] - 
       74*c[9] - 10*c[10] - 8*c[11] - 4*c[13] - 12*c[14] - 8*c[15] - 
       2*c[18] + 6*c[20] - 26*c[21] + 16*c[22] + 60*c[23] + 18*c[24] - 
       51*c[25] + (41*c[26])/2 + c[28]/6)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w] + (32*c[1] - 8*c[2] + (14*c[3])/3 - 34*c[5] + 
       34*c[6] + 2*c[7] + 110*c[8] - (73*c[9])/2 - (74*c[10])/3 - 10*c[11] + 
       4*c[12] - 8*c[13] - 18*c[14] - 6*c[15] - c[18] + 2*c[20] - 22*c[21] + 
       18*c[22] + 26*c[23] + 15*c[24] - 38*c[25] + (35*c[26])/2 + c[28]/6)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (54*c[1] - 42*c[2] + (32*c[3])/3 - 22*c[5] + 10*c[6] + 20*c[7] - 
       (3*c[8])/2 - (171*c[9])/2 - 18*c[10] + 10*c[11] - 24*c[12] - 2*c[13] + 
       6*c[14] - 10*c[15] + 4*c[20] - 22*c[21] + 18*c[22] + 36*c[23] + 
       24*c[24] - 13*c[25] - (15*c[26])/2 + c[28]/6)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + (c[2] - c[3] - 2*c[4] + (3*c[6])/2 - 
       3*c[7] - c[8]/2 - (3*c[9])/2 + c[10]/3 + 3*c[22] + (3*c[24])/2 - 
       c[25] - (5*c[26])/4)*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-7*c[1] + 28*c[2] - (25*c[3])/3 - c[5] + 30*c[6] - 37*c[7] + 58*c[8] - 
       38*c[9] - (26*c[10])/3 + 10*c[12] - 4*c[14] - 8*c[15] - 2*c[17] - 
       7*c[19] + 16*c[22] - 9*c[23] - 2*c[24] + 14*c[25] - (23*c[26])/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (4*c[1] + 8*c[2] - 6*c[3] - 2*c[5] + 8*c[6] - 4*c[7] + 6*c[8] - 
       12*c[9] + 2*c[10] + 2*c[12] - 2*c[14] - 6*c[23] + 2*c[24] + 8*c[25] - 
       12*c[26])*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-8*c[2] - 2*c[3] + 6*c[7] - 2*c[8] + 12*c[9] + (22*c[10])/3 - 6*c[12] - 
       4*c[25] + 4*c[26])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u] + ((17*c[1])/2 + c[2] + (5*c[3])/3 - 7*c[5] - 
       18*c[6] + 12*c[7] - 77*c[8] + 36*c[9] + (41*c[10])/3 - 2*c[12] + 
       4*c[13] + 2*c[14] - 4*c[15] - 7*c[22] + 3*c[23] + 6*c[24] - 6*c[25] + 
       2*c[26])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (c[1]/2 + 37*c[2] - 35*c[3] - 9*c[5] - (39*c[6])/2 - 13*c[7] - 
       (43*c[8])/4 - (203*c[9])/4 + (83*c[10])/3 + 4*c[13] - 20*c[15] - 
       2*c[17] - 14*c[19] + 12*c[22] + 3*c[23] - c[24] - 10*c[25] + 
       (19*c[26])/2)*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (c[1]/2 + 2*c[2] + 8*c[3] - 9*c[5] - 2*c[6] - 13*c[7] - (111*c[8])/2 + 
       53*c[9] + 8*c[10] + 4*c[13] - 4*c[15] - 2*c[17] - 3*c[19] + 10*c[22] + 
       3*c[23] - c[24] - c[25] + 2*c[26])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + (c[1]/2 + 26*c[2] - 8*c[3] - 9*c[5] - 
       13*c[7] - 24*c[8] - 49*c[9] + 8*c[10] + 4*c[13] - 4*c[15] - 2*c[17] - 
       3*c[19] + 10*c[22] + 3*c[23] - c[24] + 8*c[25] - (11*c[26])/2)*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-6*c[2] - 4*c[3] - (3*c[6])/2 + 6*c[7] + 6*c[9] + 8*c[10] - 6*c[12])*
      HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-10*c[1] - 25*c[2] - (4*c[3])/3 + 6*c[5] + (13*c[6])/2 + 3*c[7] + 
       (15*c[8])/2 - c[9] - 20*c[10] + 3*c[22] + c[24]/2 - 15*c[25] + 
       (39*c[26])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v] + (-c[1] + 7*c[2] - 5*c[3] - c[5] + 3*c[6] - 
       5*c[7] + 3*c[8] - 9*c[9] + (19*c[10])/3 + c[12] - c[14] - 9*c[23] - 
       2*c[24] + 10*c[25] - 9*c[26])*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - v] + ((13*c[1])/2 + 33*c[2] + 7*c[3] + 21*c[5] - 
       c[6] - 8*c[7] - 19*c[8] - 11*c[9] - (47*c[10])/3 + 6*c[12] - 4*c[14] - 
       4*c[15] - c[22] - 7*c[23] - 7*c[24] + 8*c[25] - c[26]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (6*c[2] - 4*c[3] + 6*c[6] - 6*c[7] + 6*c[8] - 18*c[9] - (22*c[10])/3 + 
       6*c[12] - 6*c[14] - 6*c[23] + 12*c[25] - 12*c[26])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (c[3] - 4*c[5] + (7*c[10])/3)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1, 1}, 1 - v] + ((-43*c[1])/2 - 3*c[2] + (7*c[3])/3 + 
       3*c[5] + (9*c[6])/2 - 2*c[7] - (47*c[8])/2 + 14*c[9] - (41*c[10])/3 - 
       16*c[14] - 4*c[15] - 12*c[21] - c[22] + 2*c[23] - (21*c[24])/2 + 
       38*c[25] - (83*c[26])/4)*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (43*c[1] + 5*c[2] + (44*c[3])/3 + 15*c[5] + (11*c[6])/2 - 2*c[7] - 
       (31*c[8])/2 - (105*c[9])/2 - 43*c[10] - 8*c[14] - 4*c[15] + 
       (3*c[18])/2 + 28*c[21] - c[22] - 49*c[23] + (47*c[24])/2 - 
       (45*c[25])/2 - (51*c[26])/4)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v] + ((69*c[1])/2 - 3*c[2] + (55*c[3])/3 + 
       6*c[5] + (9*c[6])/2 - 14*c[7] - (31*c[8])/2 - 40*c[9] - 
       (148*c[10])/3 + 8*c[14] - 4*c[15] + 12*c[21] - c[22] - 10*c[23] + 
       (27*c[24])/2 - 22*c[25] + (13*c[26])/4)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + (16*c[2] - 2*c[3] + 3*c[6] - 12*c[7] + 
       7*c[8] - 21*c[9] - (26*c[10])/3 + 6*c[12] + 6*c[22] + 3*c[24] + 
       2*c[25] - (13*c[26])/2)*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((-11*c[1])/2 + 2*c[2] + (4*c[3])/3 + 5*c[5] + 11*c[6] - 4*c[7] + 
       6*c[8] + (3*c[9])/2 - (16*c[10])/3 - 2*c[12] - 4*c[14] - c[22] - 
       7*c[23] - c[24] + 14*c[25] - 10*c[26])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w] + (4*c[1] + 2*c[2] - (8*c[3])/3 + (3*c[5])/2 + 
       2*c[7] - (11*c[10])/6 - 4*c[12] + 4*c[14] + 2*c[24] - 4*c[25])*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - w] + 
     (c[2] - 3*c[3] - 3*c[5] + (3*c[6])/2 - 3*c[7] - (7*c[8])/2 - 
       (3*c[9])/2 + (10*c[10])/3 + 3*c[22] + (3*c[24])/2 - 4*c[25] + 
       (7*c[26])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w] + (-c[1] + 4*c[2] - 3*c[3] - c[5] + 3*c[6] - 
       5*c[7] + 3*c[8] - 9*c[9] + 3*c[10] + 4*c[12] - 4*c[14] - 9*c[23] - 
       2*c[24] + 10*c[25] - 9*c[26])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w] + ((-3*c[1])/2 + 3*c[2] + (25*c[3])/3 + 
       3*c[5] + (3*c[6])/2 - 2*c[7] + c[8]/2 + 5*c[9] - (35*c[10])/3 - 
       c[22] - c[23] + (3*c[24])/2 + 5*c[25] - (11*c[26])/4)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((-3*c[1])/2 + 3*c[2] + (19*c[3])/3 + 3*c[5] + (3*c[6])/2 - 2*c[7] - 
       (7*c[8])/2 - c[9] - (29*c[10])/3 - c[22] - c[23] + (3*c[24])/2 - 
       c[25] - (11*c[26])/4)*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((-3*c[1])/2 + 20*c[2] - 24*c[3] + 3*c[5] + 10*c[6] - 2*c[7] + 7*c[8] - 
       48*c[9] + (28*c[10])/3 - c[22] - c[23] + 10*c[24] - (7*c[25])/2 - 
       10*c[26])*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((46*c[2])/3 + 6*c[3] - c[6] + 2*c[7] + c[8]/3 + c[9] - (2*c[10])/9 - 
       16*c[11] - 2*c[22] - c[24] + (8*c[25])/3 - (7*c[26])/6)*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     ((2*c[1])/3 - (14*c[2])/3 - 16*c[3] - (100*c[5])/3 - 2*c[6] + 
       (16*c[7])/3 - 2*c[8] + 10*c[9] + (64*c[10])/3 - (8*c[12])/3 + 
       (8*c[14])/3 + 6*c[23] + (4*c[24])/3 - (26*c[25])/3 + 8*c[26])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     ((-2*c[2])/3 + (2*c[3])/3 - 8*c[4] - c[6] + 2*c[7] + c[8]/3 + c[9] - 
       (2*c[10])/9 - 2*c[22] - c[24] + (8*c[25])/3 - (7*c[26])/6)*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     ((2*c[1])/3 - (14*c[2])/3 + 8*c[3] - (4*c[5])/3 - 2*c[6] + (16*c[7])/3 - 
       18*c[8] + 10*c[9] - (16*c[10])/3 - (8*c[12])/3 + (8*c[14])/3 + 
       6*c[23] + (4*c[24])/3 - (26*c[25])/3 + 8*c[26])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 0, 1}, 1 - v] + ((-2*c[2])/3 + (2*c[3])/3 - c[6] + 
       2*c[7] + (49*c[8])/3 + c[9] - (2*c[10])/9 + 8*c[16] + 8*c[19] - 
       2*c[22] - c[24] + (8*c[25])/3 - (7*c[26])/6)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 0, 1}, 1 - w] + ((2*c[1])/3 - (14*c[2])/3 + (8*c[3])/3 - 
       (4*c[5])/3 - 2*c[6] + (16*c[7])/3 - 18*c[8] + 10*c[9] - (16*c[10])/3 - 
       (8*c[12])/3 + 8*c[13] + (8*c[14])/3 + 6*c[23] + (4*c[24])/3 - 
       (26*c[25])/3 + 8*c[26])*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     (18*c[1] - (2*c[2])/3 - 42*c[3] - 7*c[6] + 22*c[7] - (263*c[8])/3 + 
       21*c[9] + (274*c[10])/9 + 12*c[12] - 12*c[13] - 12*c[15] + 10*c[22] + 
       17*c[24] - (94*c[25])/3 + (35*c[26])/6)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1, 1}, 1 - u] + ((-220*c[1])/3 - (50*c[2])/3 + 
       (16*c[3])/3 + (44*c[5])/3 + 6*c[6] - (56*c[7])/3 + 14*c[8] + 
       102*c[9] - (112*c[10])/3 + 12*c[11] + (16*c[12])/3 - (76*c[14])/3 + 
       4*c[18] - 32*c[21] - 30*c[23] - (104*c[24])/3 + (238*c[25])/3 - 
       10*c[26])*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u] + 
     ((-86*c[2])/3 + (86*c[3])/3 - 5*c[6] + 2*c[7] - (29*c[8])/3 + 45*c[9] - 
       (86*c[10])/9 + 4*c[15] - 2*c[17] - 4*c[19] + 6*c[22] + 3*c[24] - 
       (22*c[25])/3 + (17*c[26])/6)*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 
       1 - v] + ((92*c[1])/3 + (214*c[2])/3 + (8*c[3])/3 + (20*c[5])/3 + 
       62*c[6] - (8*c[7])/3 + 46*c[8] - 12*c[9] + 20*c[10] - 60*c[11] + 
       (40*c[12])/3 - (148*c[14])/3 + 12*c[20] + 32*c[21] - 110*c[23] + 
       (40*c[24])/3 + (136*c[25])/3 - 76*c[26])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1, 1}, 1 - v] + (-18*c[1] - (2*c[2])/3 - (22*c[3])/3 + 
       13*c[6] - 54*c[7] + (49*c[8])/3 - 37*c[9] - (2*c[10])/9 + 12*c[12] - 
       12*c[14] - 48*c[20] + 10*c[22] - 7*c[24] + (68*c[25])/3 - 
       (73*c[26])/6 - 6*c[27])*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w] + 
     ((92*c[1])/3 - (110*c[2])/3 - (160*c[3])/3 + (20*c[5])/3 + 62*c[6] - 
       (8*c[7])/3 + 46*c[8] - 12*c[9] + 20*c[10] + (4*c[12])/3 - 12*c[13] + 
       (20*c[14])/3 + 12*c[20] + 32*c[21] - 110*c[23] + (40*c[24])/3 + 
       (136*c[25])/3 - 76*c[26])*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 
       1 - w] + (6*c[1] + 2*c[2] - (58*c[3])/3 - 5*c[6] + 10*c[7] - 31*c[8] + 
       3*c[9] + 14*c[10] + 4*c[12] - 4*c[13] - 4*c[15] + 6*c[22] + 7*c[24] - 
       13*c[25] + (5*c[26])/2)*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     (-34*c[1] - 10*c[2] + (8*c[3])/3 + 12*c[5] + 2*c[6] - 8*c[7] + 10*c[8] + 
       52*c[9] - (64*c[10])/3 + 4*c[11] - 8*c[14] + 4*c[18] - 12*c[21] - 
       18*c[23] - 13*c[24] + 35*c[25] - 5*c[26])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 0, 1}, 1 - u] + (-11*c[2] + (52*c[3])/3 - 3*c[6] - 
       10*c[7] + 3*c[8] + 10*c[9] - 10*c[10] - 4*c[15] - 2*c[17] - 4*c[19] + 
       2*c[22] + c[24] - 2*c[25] + c[26]/2)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 0, 1}, 1 - v] + (12*c[1] + 30*c[2] - 3*c[3] + 3*c[5] + 
       26*c[6] - 7*c[7] + 18*c[8] - 18*c[9] + (23*c[10])/3 - 20*c[11] + 
       7*c[12] - 23*c[14] + 4*c[20] + 12*c[21] - 50*c[23] + 4*c[24] + 
       27*c[25] - 39*c[26])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v] + 
     (-6*c[1] + 2*c[2] - (4*c[3])/3 + 7*c[6] - 26*c[7] + 8*c[8] - 11*c[9] - 
       (8*c[10])/3 + 4*c[12] - 4*c[14] - 16*c[20] + 6*c[22] - c[24] + 
       4*c[25] - (5*c[26])/2 - 2*c[27])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 0, 1}, 1 - w] + (12*c[1] - 7*c[2] - (71*c[3])/3 + 
       3*c[5] + 26*c[6] - 7*c[7] + 18*c[8] - 18*c[9] + (23*c[10])/3 + 
       4*c[12] - 4*c[13] + 4*c[20] + 12*c[21] - 50*c[23] + 4*c[24] + 
       27*c[25] - 39*c[26])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w] + 
     (50*c[2] - 62*c[3] - 24*c[6] - 42*c[7] + 77*c[8] - 105*c[9] + 
       (86*c[10])/3 - 12*c[15] - 6*c[17] - 12*c[19] + 42*c[22] + 6*c[24] - 
       8*c[25] - c[26])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     (45*c[1] + 98*c[2] - 24*c[3] + 4*c[5] + 46*c[6] - 112*c[7] + 342*c[8] - 
       12*c[9] - 124*c[10] + 8*c[12] - 12*c[13] + 64*c[14] + 36*c[18] - 
       12*c[20] + 108*c[21] + 132*c[22] - 132*c[23] + 32*c[24] - 100*c[25] + 
       37*c[26] - c[28])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     (126*c[1] + 80*c[2] + (212*c[3])/3 - 144*c[5] + 165*c[6] - 150*c[7] + 
       368*c[8] - 216*c[9] - 180*c[10] + 60*c[12] - 24*c[13] + 36*c[14] - 
       12*c[15] + 6*c[18] - 24*c[20] + 168*c[21] + 18*c[22] - 192*c[23] + 
       33*c[24] - 32*c[25] - (233*c[26])/2 - c[28])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - v] + (25*c[1] + 32*c[2] + 6*c[3] + 58*c[5] + 
       27*c[6] - 40*c[7] + 39*c[8] - 135*c[9] - (200*c[10])/3 + 8*c[12] - 
       8*c[14] + 6*c[18] + 60*c[21] - 132*c[23] + 23*c[24] + 50*c[25] - 
       (165*c[26])/2)*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     (50*c[2] + (34*c[3])/3 + 51*c[6] - 84*c[7] + 98*c[8] - 6*c[9] - 
       (134*c[10])/3 + 12*c[22] + 21*c[24] - 26*c[25] - (11*c[26])/2)*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w] + 
     (28*c[1] + 62*c[2] - (10*c[3])/3 + 58*c[5] + 27*c[6] - 40*c[7] + 
       39*c[8] - 135*c[9] - (200*c[10])/3 + 12*c[11] + 20*c[12] + 16*c[14] + 
       6*c[18] + 60*c[21] - 132*c[23] + 23*c[24] + 50*c[25] - (165*c[26])/2)*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w] + 
     ((37*c[2])/3 - (53*c[3])/3 - (25*c[6])/2 - 13*c[7] + (83*c[8])/6 - 
       (53*c[9])/2 + (85*c[10])/9 - 4*c[15] - 2*c[17] - 4*c[19] + 13*c[22] + 
       (3*c[24])/2 - c[25]/3 - (23*c[26])/12)*HPL[{1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - u] + ((56*c[1])/3 + (91*c[2])/3 - 4*c[3] + 
       (2*c[5])/3 + 9*c[6] - (104*c[7])/3 + 113*c[8] - 5*c[9] - 
       (140*c[10])/3 + (4*c[12])/3 - 4*c[13] + (80*c[14])/3 + 12*c[18] - 
       4*c[20] + 40*c[21] + 44*c[22] - 41*c[23] + (43*c[24])/3 - 
       (146*c[25])/3 + 24*c[26] - c[28]/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - u] + (42*c[1] + (88*c[2])/3 + (71*c[3])/3 - 
       48*c[5] + (117*c[6])/2 - 49*c[7] + (809*c[8])/6 - (153*c[9])/2 - 
       (557*c[10])/9 + 20*c[12] - 8*c[13] + 12*c[14] - 4*c[15] + 2*c[18] - 
       8*c[20] + 56*c[21] + 5*c[22] - 64*c[23] + (21*c[24])/2 - 
       (28*c[25])/3 - (473*c[26])/12 - c[28]/3)*HPL[{1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + ((2*c[1])/3 + (25*c[2])/3 + c[3]/3 + 
       (53*c[5])/3 + 8*c[6] - (29*c[7])/3 + 12*c[8] - 30*c[9] - 
       (53*c[10])/3 + c[12]/3 - (13*c[14])/3 + 2*c[18] + 16*c[21] - 
       41*c[23] + (13*c[24])/3 + (70*c[25])/3 - (53*c[26])/2)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + ((37*c[2])/3 + (13*c[3])/3 + 
       (25*c[6])/2 - 27*c[7] + (119*c[8])/6 + (13*c[9])/2 - (113*c[10])/9 + 
       3*c[22] + (13*c[24])/2 - (22*c[25])/3 - (29*c[26])/12)*HPL[{1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - w] + ((5*c[1])/3 + (52*c[2])/3 - c[3]/3 + 
       (53*c[5])/3 + 8*c[6] - (29*c[7])/3 + 12*c[8] - 30*c[9] - 
       (53*c[10])/3 + 4*c[11] + (16*c[12])/3 + (8*c[14])/3 + 2*c[18] + 
       16*c[21] - 41*c[23] + (13*c[24])/3 + (70*c[25])/3 - (53*c[26])/2)*
      HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w] + 
     8*c[4]*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u] + 
     (-24*c[2] + 8*c[3] - 32*c[6] + 40*c[7] - 56*c[8] + 48*c[9] + 8*c[10] + 
       16*c[15] + 4*c[17] + 8*c[19] - 24*c[22])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - u] + (-4*c[1] + 24*c[2] + 8*c[3] - 12*c[6] - 
       12*c[8] + 24*c[9] + 8*c[10] - 12*c[24] + 4*c[25] + 14*c[26])*
      HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v] + 
     ((-112*c[3])/3 - 64*c[5] + (128*c[10])/3)*HPL[{0, 0, 0, 0, 0, 1}, 
       1 - u] - 16*c[4]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v] + 
     (64*c[1] - 16*c[4])*HPL[{0, 0, 0, 0, 0, 1}, 1 - w] + 
     (-40*c[1] - 40*c[2] + 8*c[3] - 16*c[5] + 8*c[6] + 8*c[7] - 8*c[8] + 
       68*c[9] - (32*c[10])/3 + 4*c[11] + 4*c[12] - 32*c[14] - 8*c[18] - 
       64*c[21] + 80*c[23] - 16*c[24] + 4*c[25] + 44*c[26])*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - u] + (-8*c[2] + 16*c[3] + 24*c[6] + 
       40*c[7] + 44*c[8] + 58*c[9] - (32*c[10])/3 + 16*c[15] + 4*c[17] - 
       4*c[19] + 8*c[22] + 4*c[24] - 6*c[25])*HPL[{0, 0, 0, 0, 1, 1}, 
       1 - v] + (12*c[1] - 28*c[2] - (4*c[3])/3 - 52*c[6] + 28*c[7] + 
       54*c[8] - 26*c[9] - (44*c[10])/3 + 28*c[13] + 4*c[17] - 4*c[19] - 
       12*c[20] + 8*c[22] + 4*c[24] - 6*c[25])*HPL[{0, 0, 0, 0, 1, 1}, 
       1 - w] + (-15*c[1] - 22*c[2] + (22*c[3])/3 + 6*c[7] + 45*c[9] - 
       (32*c[10])/3 - 3*c[11] - 3*c[12] - 8*c[14] - 24*c[21] + 32*c[23] - 
       2*c[24] - c[25] + 16*c[26])*HPL[{0, 0, 0, 1, 0, 1}, 1 - u] + 
     (-2*c[2] + (40*c[3])/3 + 5*c[6] + 27*c[8] + (31*c[9])/2 - 12*c[10] - 
       3*c[19] + (3*c[25])/2 - (3*c[26])/2)*HPL[{0, 0, 0, 1, 0, 1}, 1 - v] + 
     (-11*c[2] - c[3]/3 - 24*c[6] - 3*c[7] + (63*c[8])/2 - (27*c[9])/2 - 
       13*c[10] + 11*c[13] - 3*c[19] - 3*c[20] + (3*c[25])/2 - (3*c[26])/2)*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - w] + (-15*c[1] - 96*c[2] + 56*c[3] - 
       16*c[6] - 96*c[7] + 378*c[8] + 348*c[9] - 60*c[10] - 12*c[12] + 
       12*c[14] + 36*c[18] - 12*c[20] + 24*c[21] + 36*c[22] - 24*c[23] - 
       12*c[24] + 36*c[25] - 39*c[26] - c[28])*HPL[{0, 0, 0, 1, 1, 1}, 
       1 - u] + (-96*c[1] - 54*c[2] + 106*c[3] - 144*c[5] - 12*c[6] - 
       168*c[7] + 195*c[8] + 117*c[9] - 206*c[10] + 60*c[11] + 48*c[12] - 
       24*c[13] + 84*c[14] + 6*c[18] - 36*c[20] + 120*c[21] - 72*c[23] - 
       60*c[24] - 6*c[25] + 21*c[26] - c[28])*HPL[{0, 0, 0, 1, 1, 1}, 
       1 - v] + (-126*c[1] + 168*c[2] + 74*c[3] - 204*c[5] + 54*c[6] - 
       156*c[7] + 153*c[8] + 135*c[9] - 156*c[10] - 60*c[11] + 72*c[12] + 
       84*c[13] + 36*c[14] + 48*c[15] - 24*c[20] + 144*c[21] - 168*c[23] - 
       54*c[24] - 18*c[25] - 18*c[26] - c[28])*HPL[{0, 0, 0, 1, 1, 1}, 
       1 - w] + (-5*c[1] - 54*c[2] + (118*c[3])/3 - 8*c[6] - 32*c[7] + 
       130*c[8] + 168*c[9] - (76*c[10])/3 - 4*c[12] + 4*c[14] + 12*c[18] - 
       4*c[20] + 8*c[21] - 4*c[22] - 8*c[23] - 4*c[24] + 12*c[25] - 
       13*c[26] - c[28]/3)*HPL[{0, 0, 1, 0, 1, 1}, 1 - u] + 
     (-69*c[1] - 22*c[2] + (122*c[3])/3 - 48*c[5] - 18*c[6] - 56*c[7] + 
       55*c[8] + 79*c[9] - (220*c[10])/3 + 20*c[11] + 16*c[12] - 8*c[13] + 
       36*c[14] + 2*c[18] - 12*c[20] + 32*c[21] - 4*c[23] - 34*c[24] + 
       30*c[26] - c[28]/3)*HPL[{0, 0, 1, 0, 1, 1}, 1 - v] + 
     (-42*c[1] + 40*c[2] + (122*c[3])/3 - 68*c[5] + 10*c[6] - 52*c[7] + 
       43*c[8] + 73*c[9] - 56*c[10] - 20*c[11] + 24*c[12] + 28*c[13] + 
       12*c[14] + 16*c[15] - 8*c[20] + 48*c[21] - 56*c[23] - 26*c[24] - 
       6*c[25] + 6*c[26] - c[28]/3)*HPL[{0, 0, 1, 0, 1, 1}, 1 - w] + 
     (-5*c[1] - 22*c[2] + (46*c[3])/3 + 8*c[6] + 4*c[8] + 64*c[9] + 
       (16*c[10])/3 - 8*c[14] - 8*c[21] - 16*c[22] - 6*c[24] + 22*c[25] - 
       17*c[26])*HPL[{0, 0, 1, 1, 0, 1}, 1 - u] + 
     (-37*c[1] - 10*c[2] + 4*c[3] - 22*c[6] - 32*c[8] + 51*c[9] + 
       (2*c[10])/3 + 8*c[14] - 8*c[21] + 20*c[23] - 14*c[24] + 2*c[25] + 
       23*c[26])*HPL[{0, 0, 1, 1, 0, 1}, 1 - v] + 
     (-8*c[2] + (38*c[3])/3 - c[5] - 16*c[6] - 32*c[8] + 43*c[9] + 3*c[10] + 
       8*c[13] - 8*c[24] + 12*c[26])*HPL[{0, 0, 1, 1, 0, 1}, 1 - w] + 
     (-196*c[2] + (572*c[3])/3 - 6*c[6] + 40*c[7] - 145*c[8] + 455*c[9] - 
       60*c[10] + 16*c[15] + 4*c[17] + 20*c[19] - 88*c[22])*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - u] + (-310*c[1] - 16*c[2] - (116*c[3])/3 - 
       60*c[5] - 44*c[6] - 56*c[8] + 370*c[9] + 84*c[10] - 32*c[14] - 
       6*c[18] - 160*c[21] + 180*c[23] - 152*c[24] + 182*c[25] + 76*c[26])*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - v] + (-100*c[2] + (364*c[3])/3 - 50*c[6] - 
       50*c[8] + 196*c[9] - (164*c[10])/3 - 50*c[24] + 10*c[25] + 65*c[26])*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - w] + (-43*c[2] + (137*c[3])/3 + 
       (13*c[6])/2 - (89*c[8])/4 + (407*c[9])/4 - 17*c[10] + 3*c[19] - 
       16*c[22])*HPL[{0, 1, 0, 1, 1, 1}, 1 - u] + 
     ((-153*c[1])/2 - 10*c[2] - (35*c[3])/3 - 15*c[5] - 8*c[6] - 11*c[8] + 
       (173*c[9])/2 + 19*c[10] - 8*c[14] - (3*c[18])/2 - 40*c[21] + 
       45*c[23] - 35*c[24] + (89*c[25])/2 + (31*c[26])/2)*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - v] + (-19*c[2] + 27*c[3] - (19*c[6])/2 - 
       (19*c[8])/2 + 43*c[9] - (43*c[10])/3 - (19*c[24])/2 + (3*c[25])/2 + 
       (51*c[26])/4)*HPL[{0, 1, 0, 1, 1, 1}, 1 - w] - 
     16*c[4]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u] - 
     10*c[10]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v] + 
     ((-8*c[2])/3 + c[3]/3 - c[6]/2 + 2*c[7] - (7*c[8])/6 + 5*c[9] + 
       (13*c[10])/9 - c[12] - c[22] - c[24]/2 + c[25]/6 + (7*c[26])/12)*
      HPL[{1}, 1 - u]*M1[u, v, w] + ((2*c[1])/3 - (5*c[2])/3 + (2*c[3])/3 + 
       (2*c[5])/3 - c[6] + (4*c[7])/3 - c[8] + 3*c[9] - (2*c[12])/3 + 
       (2*c[14])/3 + c[23] + c[24]/3 - (8*c[25])/3 + 2*c[26])*HPL[{1}, 1 - v]*
      M1[u, v, w] + ((5*c[2])/3 - c[7] - c[8]/3 - 3*c[9] - (10*c[10])/9 + 
       c[12] + c[25]/3 - c[26]/3)*HPL[{1}, 1 - u]*M1[v, u, w] + 
     ((-2*c[1])/3 - c[2]/3 + (2*c[3])/3 - (2*c[5])/3 - c[7]/3 + c[9]/2 + 
       (2*c[12])/3 - (2*c[14])/3 - c[24]/3 + (7*c[25])/6 - c[26]/2)*
      HPL[{1}, 1 - v]*M1[v, u, w] + ((-7*c[2])/3 + c[3]/3 - c[6]/2 + 2*c[7] - 
       (5*c[8])/6 + (5*c[9])/2 + (11*c[10])/9 - c[12] - c[22] - c[24]/2 + 
       c[25]/3 + (5*c[26])/12)*HPL[{1}, 1 - u]*M1[v, w, u] + 
     ((-2*c[1])/3 - (4*c[2])/3 + c[3]/3 + c[5]/3 - c[6] + (2*c[7])/3 - c[8] + 
       3*c[9] + c[10]/3 - c[12]/3 + c[14]/3 + c[23] - c[24]/3 - c[25]/3 + 
       c[26])*HPL[{1}, 1 - v]*M1[v, w, u] + 
     (-3*c[2] + c[3] - c[6]/2 + 2*c[7] - (7*c[8])/2 + (11*c[9])/2 + c[10] - 
       c[12] + c[15] - c[22] - c[24]/2 + (3*c[26])/4)*HPL[{1}, 1 - u]*
      M1[w, u, v] + ((2*c[3])/3 - c[6] + c[7] - c[8] + (7*c[9])/2 - c[12] + 
       c[14] + c[23] - (3*c[25])/2 + (3*c[26])/2)*HPL[{1}, 1 - v]*
      M1[w, u, v] + ((4*c[2])/3 + (2*c[3])/3 - c[6] - c[7] - (5*c[8])/3 - 
       2*c[9] - (14*c[10])/9 + c[12] + c[15] + c[19] + (2*c[25])/3 - 
       (2*c[26])/3)*HPL[{1}, 1 - u]*M1[w, v, u] + 
     ((-4*c[1])/3 + c[2]/3 + c[3]/3 - c[5]/3 - (2*c[7])/3 + c[10]/3 + 
       c[12]/3 + c[13] - c[14]/3 - (2*c[24])/3 + (7*c[25])/3 - c[26])*
      HPL[{1}, 1 - v]*M1[w, v, u] + ((-2*c[2])/3 + c[3]/3 - (2*c[8])/3 + 
       c[9] + c[10]/9 - c[25]/3 + c[26]/3)*HPL[{1}, 1 - u]*Nt[u, v, w] + 
     ((-5*c[1])/6 + c[2]/3 - c[5]/3 - (2*c[7])/3 + c[10]/3 + c[12]/3 - 
       c[14]/3 - c[23] - (2*c[24])/3 + (4*c[25])/3 - c[26]/2)*HPL[{1}, 1 - v]*
      Nt[u, v, w] + ((10*c[2])/3 + (2*c[3])/3 - 2*c[7] + (4*c[8])/3 - 
       4*c[9] - (26*c[10])/9 + 2*c[12] + (2*c[25])/3 - (2*c[26])/3)*
      HPL[{1}, 1 - u]^2*Omega2[u, v, w] + 
     ((5*c[1])/3 - 4*c[2] + (2*c[3])/3 - (4*c[5])/3 - (7*c[6])/2 + 
       (16*c[7])/3 + (7*c[8])/6 + 3*c[9] + (32*c[10])/9 - (8*c[12])/3 + 
       (2*c[14])/3 - 3*c[22] + 2*c[23] + (5*c[24])/6 - (5*c[25])/6 - 
       c[26]/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[u, v, w] + 
     (c[1]/3 - (10*c[2])/3 + 2*c[3] + (4*c[5])/3 - 2*c[6] + (8*c[7])/3 - 
       2*c[8] + 5*c[9] - (5*c[10])/3 - (4*c[12])/3 + (4*c[14])/3 + 4*c[23] + 
       (2*c[24])/3 - (16*c[25])/3 + 5*c[26])*HPL[{1}, 1 - v]^2*
      Omega2[u, v, w] + ((-4*c[2])/3 + (2*c[3])/3 - 3*c[5] + c[6]/2 - 
       2*c[7] + (5*c[8])/3 + c[9]/2 + (14*c[10])/9 + c[22] + c[23] + 
       (3*c[24])/2 - (2*c[25])/3 - c[26]/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Omega2[u, v, w] + ((-5*c[1])/3 + (2*c[2])/3 - (2*c[5])/3 + (3*c[6])/2 - 
       (4*c[7])/3 + (7*c[8])/2 - 4*c[9] + c[10] + (2*c[12])/3 - (2*c[14])/3 + 
       c[22] - 2*c[23] - (11*c[24])/6 + (2*c[25])/3 + c[26]/4)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w] + 
     (-c[6]/2 + (11*c[8])/2 - 2*c[9] + 3*c[10] + c[22] + c[24]/2 + 
       (3*c[26])/4)*HPL[{0, 1}, 1 - u]*Omega2[u, v, w] + 
     (-2*c[6] + (29*c[8])/4 - 8*c[9] + 5*c[10] - c[22] - c[24]/2 - c[25]/2 - 
       c[26]/2)*HPL[{0, 1}, 1 - v]*Omega2[u, v, w] + 
     (c[6]/2 + 2*c[7] + 14*c[8] + 4*c[9] + (13*c[10])/3 - c[22] + 2*c[23] + 
       c[24]/2 - (9*c[25])/2 + (13*c[26])/4)*HPL[{0, 1}, 1 - w]*
      Omega2[u, v, w] + ((-4*c[2])/3 + (2*c[3])/3 - (4*c[8])/3 + 2*c[9] + 
       (2*c[10])/9 - (2*c[25])/3 + (2*c[26])/3)*HPL[{1}, 1 - u]^2*
      Omega2[v, w, u] + ((-5*c[1])/3 + (16*c[2])/3 - (2*c[3])/3 - 
       (2*c[5])/3 + (3*c[6])/2 - (10*c[7])/3 - (17*c[8])/6 - 7*c[9] - 
       (4*c[10])/9 + (8*c[12])/3 - (2*c[14])/3 + c[22] - 2*c[23] - 
       (5*c[24])/6 + (9*c[25])/2 - (43*c[26])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*Omega2[v, w, u] + (c[1]/3 - (4*c[2])/3 + (4*c[3])/3 - 
       (2*c[5])/3 + (2*c[7])/3 + c[9] - c[10] + (2*c[12])/3 - (2*c[14])/3 + 
       2*c[23] + (2*c[24])/3 - (4*c[25])/3 + c[26])*HPL[{1}, 1 - v]^2*
      Omega2[v, w, u] + ((-14*c[2])/3 + (4*c[3])/3 - 3*c[5] - c[6]/2 + 
       2*c[7] + (10*c[8])/3 + (11*c[9])/2 + (28*c[10])/9 - 2*c[12] - c[22] + 
       c[23] + c[24]/2 + (2*c[25])/3 + c[26]/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*Omega2[v, w, u] + ((5*c[1])/3 - (8*c[2])/3 + 
       (4*c[3])/3 + (2*c[5])/3 - (7*c[6])/2 + (10*c[7])/3 - (11*c[8])/2 + 
       10*c[9] - c[10]/3 - (8*c[12])/3 + (8*c[14])/3 - c[22] + 4*c[23] + 
       (11*c[24])/6 - (14*c[25])/3 + (15*c[26])/4)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Omega2[v, w, u] + (-c[6]/2 + c[8]/2 + 5*c[9] + 
       3*c[10] - c[22] + c[24]/2 - 3*c[25] + (3*c[26])/4)*HPL[{0, 1}, 1 - u]*
      Omega2[v, w, u] + (3*c[6] + (3*c[8])/4 + 5*c[9] + 5*c[10] + c[22] - 
       c[24]/2 + (11*c[25])/2 - 3*c[26])*HPL[{0, 1}, 1 - v]*Omega2[v, w, u] + 
     ((-3*c[6])/2 + 2*c[7] - 8*c[8] - c[9] + (13*c[10])/3 + c[22] + 2*c[23] + 
       c[24]/2 + (3*c[25])/2 - (7*c[26])/4)*HPL[{0, 1}, 1 - w]*
      Omega2[v, w, u] + (-4*c[2] - c[6] + 4*c[7] - c[8] + 5*c[9] + 
       (8*c[10])/3 - 2*c[12] - 2*c[22] - c[24] + (3*c[26])/2)*
      HPL[{1}, 1 - u]^2*Omega2[w, u, v] + 
     (3*c[1] - (16*c[2])/3 + (8*c[3])/3 - (7*c[6])/2 + 4*c[7] + c[8]/6 + 
       7*c[9] - (10*c[10])/9 - 2*c[12] + 2*c[14] - c[22] + 4*c[23] + 
       (3*c[24])/2 - (55*c[25])/6 + (83*c[26])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*Omega2[w, u, v] + ((-5*c[1])/3 + (2*c[2])/3 - 
       (2*c[5])/3 - (4*c[7])/3 - c[9] + c[10] + (2*c[12])/3 - (2*c[14])/3 - 
       2*c[23] - (4*c[24])/3 + (8*c[25])/3 - c[26])*HPL[{1}, 1 - v]^2*
      Omega2[w, u, v] + (4*c[2] + (2*c[3])/3 + 3*c[5] - c[6]/2 - c[8] - 
       (9*c[9])/2 - (14*c[10])/3 + 2*c[12] - c[22] - c[23] - (3*c[24])/2 + 
       2*c[25] - (5*c[26])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Omega2[w, u, v] + (-c[1] + (2*c[3])/3 + (3*c[6])/2 + (7*c[8])/2 - 
       4*c[9] - (5*c[10])/3 + c[22] + 2*c[23] - c[24]/2 - 2*c[25] + 
       (9*c[26])/4)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[w, u, v] + 
     (c[6]/2 - (5*c[8])/2 - 5*c[9] - 3*c[10] + c[22] - c[24]/2 - (3*c[26])/4)*
      HPL[{0, 1}, 1 - u]*Omega2[w, u, v] + 
     (-3*c[6] + (5*c[8])/4 - 5*c[9] - 5*c[10] - c[22] + c[24]/2 - 
       (5*c[25])/2 + 3*c[26])*HPL[{0, 1}, 1 - v]*Omega2[w, u, v] + 
     ((3*c[6])/2 - 2*c[7] + 8*c[8] + c[9] - (13*c[10])/3 - c[22] - 2*c[23] - 
       c[24]/2 - (3*c[25])/2 + (7*c[26])/4)*HPL[{0, 1}, 1 - w]*
      Omega2[w, u, v] + (c[2]/3 - c[3]/3 + c[6]/2 - c[7] - c[8]/6 - c[9]/2 + 
       c[10]/9 + c[22] + c[24]/2 - (4*c[25])/3 + (7*c[26])/12)*
      HPL[{1}, 1 - u]*Ot[u, v, w] + (-c[1]/3 + (7*c[2])/3 - (4*c[3])/3 + 
       (2*c[5])/3 + c[6] - (8*c[7])/3 + c[8] - 5*c[9] + (4*c[12])/3 - 
       (4*c[14])/3 - 3*c[23] - (2*c[24])/3 + (13*c[25])/3 - 4*c[26])*
      HPL[{1}, 1 - v]*Ot[u, v, w] + ((-3*c[1])/4 - (2*c[3])/3 + (3*c[5])/2 - 
       (3*c[6])/4 + 2*c[7] - (9*c[8])/4 + (7*c[9])/4 - c[22]/2 - c[23]/2 - 
       (3*c[24])/4 - c[25]/2 + c[26]/8)*Phi6[u, v, w]^2 + 
     ((448*c[2])/9 - (128*c[3])/9 + (16*c[6])/3 - (32*c[7])/3 + (16*c[8])/9 - 
       (208*c[9])/3 - (512*c[10])/27 + (64*c[12])/3 - (32*c[22])/3 + 
       (16*c[24])/3 + (128*c[25])/9 - (200*c[26])/9)*HPL[{1}, 1 - u]*
      Qep[u, v, w] + ((-112*c[1])/9 - (128*c[2])/9 + (160*c[3])/9 + 
       (32*c[5])/9 - (16*c[6])/3 + (64*c[7])/9 - (16*c[8])/3 + 16*c[9] - 
       (64*c[10])/3 + (64*c[12])/9 - (64*c[14])/9 + (64*c[23])/3 + 
       (16*c[24])/9 - (128*c[25])/9 + (56*c[26])/3)*HPL[{1}, 1 - v]*
      Qep[u, v, w] + ((-352*c[2])/9 + (32*c[3])/9 - (16*c[6])/3 + 
       (128*c[7])/3 + (80*c[8])/9 + (208*c[9])/3 + (608*c[10])/27 - 
       (64*c[12])/3 - (64*c[22])/3 - (16*c[24])/3 + (64*c[25])/9 + 
       (8*c[26])/9)*HPL[{1}, 1 - u]*Qep[u, w, v] + 
     ((160*c[1])/9 - (352*c[2])/9 + (224*c[3])/9 + (160*c[5])/9 - 
       (80*c[6])/3 + (320*c[7])/9 - (80*c[8])/3 + 80*c[9] - (64*c[10])/3 - 
       (256*c[12])/9 + (256*c[14])/9 + (128*c[23])/3 + (80*c[24])/9 - 
       (640*c[25])/9 + (184*c[26])/3)*HPL[{1}, 1 - v]*Qep[u, w, v] + 
     ((-160*c[2])/3 + (32*c[3])/9 - (32*c[6])/3 + (160*c[7])/3 - 
       (64*c[8])/3 + (224*c[9])/3 + 32*c[10] - (64*c[12])/3 - 32*c[22] - 
       (32*c[24])/3 + 16*c[26])*HPL[{1}, 1 - u]*Qep[v, u, w] + 
     (16*c[1] - 32*c[2] + (128*c[3])/9 - (64*c[6])/3 + (128*c[7])/3 - 
       (64*c[8])/3 + 64*c[9] - (64*c[12])/3 + (64*c[14])/3 + (128*c[23])/3 + 
       (64*c[24])/3 - (256*c[25])/3 + (160*c[26])/3)*HPL[{1}, 1 - v]*
      Qep[v, u, w] + (32*c[2] + (160*c[3])/9 - (16*c[6])/3 - (64*c[7])/3 + 
       16*c[8] - (176*c[9])/3 - (352*c[10])/9 + (64*c[12])/3 - (16*c[24])/3 + 
       (64*c[25])/3 - (40*c[26])/3)*HPL[{1}, 1 - u]*Qep[v, w, u] + 
     ((-32*c[1])/3 + (32*c[2])/3 - (32*c[3])/9 - (32*c[5])/3 + (16*c[6])/3 + 
       (16*c[8])/3 - 16*c[9] + (64*c[23])/3 + (16*c[24])/3 + (8*c[26])/3)*
      HPL[{1}, 1 - v]*Qep[v, w, u] + ((416*c[2])/9 + (32*c[3])/9 - 32*c[7] + 
       (224*c[8])/9 - 64*c[9] - (928*c[10])/27 + (64*c[12])/3 + 
       (32*c[22])/3 + (64*c[25])/9 - (64*c[26])/9)*HPL[{1}, 1 - u]*
      Qep[w, u, v] + ((304*c[1])/9 - (160*c[2])/9 + (128*c[3])/9 - 
       (128*c[5])/9 + (128*c[7])/9 - (64*c[12])/9 + (64*c[14])/9 + 
       (64*c[23])/3 + (128*c[24])/9 - (256*c[25])/9 + (32*c[26])/3)*
      HPL[{1}, 1 - v]*Qep[w, u, v] + ((-320*c[2])/9 + (64*c[3])/9 - 16*c[6] + 
       32*c[7] + (16*c[8])/9 + 16*c[9] + (448*c[10])/27 - (64*c[12])/3 - 
       (32*c[22])/3 - 16*c[24] + (128*c[25])/9 + (88*c[26])/9)*
      HPL[{1}, 1 - u]*Qep[w, v, u] + ((176*c[1])/9 - (320*c[2])/9 + 
       (160*c[3])/9 + (32*c[5])/9 - 16*c[6] + (256*c[7])/9 - 16*c[8] + 
       48*c[9] - (128*c[12])/9 + (128*c[14])/9 + (128*c[23])/3 + 
       (112*c[24])/9 - (512*c[25])/9 + (136*c[26])/3)*HPL[{1}, 1 - v]*
      Qep[w, v, u] + (c[2]/6 - c[3]/6 + c[4]/12 + c[6]/4 - c[7]/2 - c[8]/12 - 
       c[9]/4 + c[10]/18 + c[22]/2 + c[24]/4 - c[25]/6 - (5*c[26])/24)*
      HPL[{1}, 1 - u]^4*\[Zeta][2] + (-c[1] - (23*c[2])/6 - (11*c[3])/9 + 
       c[5]/3 + c[6]/6 + 4*c[7] - (133*c[8])/6 + (61*c[9])/6 + (37*c[10])/9 + 
       (2*c[12])/3 - (2*c[13])/3 - (2*c[14])/3 + c[15] + (5*c[19])/3 - 
       2*c[22] - (11*c[23])/6 - c[24]/2 + (5*c[25])/3 - (8*c[26])/3)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*\[Zeta][2] + 
     (-c[1]/4 + 9*c[2] + (5*c[3])/3 - c[5] - 8*c[6] - (13*c[7])/2 - 
       (107*c[8])/4 + (43*c[9])/4 - (5*c[10])/4 - c[12] + c[13]/2 + c[14]/2 - 
       2*c[15] - 4*c[22] + c[23]/2 + 2*c[24] + (9*c[25])/2 - 5*c[26])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*\[Zeta][2] + 
     ((-14*c[1])/3 + (22*c[2])/3 - (17*c[3])/18 + c[5] - c[6]/4 - 
       (23*c[7])/6 + (53*c[8])/12 + (43*c[9])/12 - (41*c[10])/18 + 
       (2*c[12])/3 + (2*c[15])/3 + (3*c[22])/2 + c[23]/3 - (11*c[24])/12 + 
       3*c[25] + (13*c[26])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      \[Zeta][2] + (-c[1]/6 + (7*c[2])/6 - (5*c[3])/6 - c[5]/6 + c[6]/2 - 
       (5*c[7])/6 + c[8]/2 - (3*c[9])/2 + c[10]/3 + c[12]/6 - c[14]/6 - 
       (3*c[23])/2 - c[24]/3 + (5*c[25])/3 - (3*c[26])/2)*HPL[{1}, 1 - v]^4*
      \[Zeta][2] + (2*c[2] - 2*c[7] + 2*c[8] - 4*c[9] - (4*c[10])/3 + 
       2*c[22])*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*\[Zeta][2] + 
     ((11*c[1])/2 - (7*c[2])/3 + 3*c[3] - 3*c[5] - 7*c[6] - 6*c[7] - 
       (43*c[8])/3 - (17*c[9])/2 - (49*c[10])/9 - c[13] + c[15] - 2*c[21] + 
       7*c[22] + 3*c[23] + 3*c[24] - (5*c[25])/3 - (7*c[26])/3)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2] + 
     ((-8*c[1])/3 + (8*c[2])/3 - 4*c[3] - (20*c[5])/3 + 4*c[6] - c[7]/3 + 
       (21*c[8])/2 - (45*c[9])/4 + (29*c[10])/3 - (4*c[12])/3 + (7*c[14])/3 + 
       c[15] + 2*c[21] + 8*c[22] - 8*c[23] - (16*c[24])/3 + (44*c[25])/3 + 
       c[26]/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      \[Zeta][2] + (3*c[1] - (2*c[3])/3 - c[5] + c[6] + c[8] - c[9] + 
       (5*c[10])/3 + c[24] - (3*c[26])/2)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
      \[Zeta][2] + ((-9*c[1])/4 + 5*c[2] - (8*c[3])/3 + (9*c[5])/2 - 
       (3*c[6])/2 + (3*c[7])/2 - (13*c[8])/4 - (3*c[9])/4 - (61*c[10])/12 + 
       c[12] + c[13]/2 - c[14]/2 - 2*c[22] - (3*c[23])/2 - 2*c[24] + 
       (3*c[25])/2 + 2*c[26])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
      \[Zeta][2] + ((-9*c[1])/2 - c[2] - (7*c[3])/3 - 6*c[5] + (19*c[6])/2 - 
       7*c[7] + 22*c[8] - (19*c[9])/4 + 12*c[10] + 2*c[21] + 7*c[22] - 
       c[23] - (3*c[24])/2 + (5*c[25])/2 - (7*c[26])/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     ((9*c[1])/4 - c[2] - (17*c[3])/6 + (3*c[5])/2 - (3*c[6])/2 + 
       (5*c[7])/2 - (71*c[8])/4 + (39*c[9])/4 + (19*c[10])/12 - c[12] - 
       c[13]/2 + c[14]/2 - 4*c[22] - c[23]/2 + 3*c[24] + 4*c[25] - 
       (7*c[26])/2)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     (c[2]/6 - c[3]/2 + c[6]/4 - c[7]/2 - (7*c[8])/12 - c[9]/4 + 
       (7*c[10])/18 + c[22]/2 + c[24]/4 - (2*c[25])/3 + (7*c[26])/24)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*\[Zeta][2] + 
     (-c[1]/6 + (2*c[2])/3 + (7*c[3])/18 - c[5]/6 + c[6]/2 - (5*c[7])/6 + 
       c[8]/2 - (3*c[9])/2 - (7*c[10])/18 + (2*c[12])/3 - (2*c[14])/3 - 
       (3*c[23])/2 - c[24]/3 + (5*c[25])/3 - (3*c[26])/2)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^3*\[Zeta][2] + ((-3*c[1])/2 - (37*c[2])/6 - 
       (83*c[3])/6 + 9*c[5] + (21*c[6])/4 + (29*c[7])/2 - (521*c[8])/12 + 
       (55*c[9])/4 + (209*c[10])/18 - 3*c[13] + 3*c[15] + c[19] - 
       (9*c[22])/2 - 3*c[23] + (9*c[24])/4 - (41*c[25])/6 - (169*c[26])/24)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     ((-107*c[1])/6 - (81*c[2])/2 - 9*c[3] + (29*c[5])/3 + (45*c[6])/2 + 
       (22*c[7])/3 + (223*c[8])/6 + (89*c[9])/2 + (203*c[10])/9 + 2*c[11] + 
       (4*c[12])/3 - 4*c[13] - (16*c[14])/3 + 10*c[15] - 2*c[20] - 2*c[21] - 
       4*c[22] - (15*c[23])/2 - (85*c[24])/6 + (134*c[25])/3 - (143*c[26])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     ((-20*c[1])/3 + (32*c[2])/3 - 6*c[3] + (4*c[5])/3 - (15*c[6])/2 - 
       (13*c[7])/3 + 10*c[8] + 8*c[9] - (5*c[10])/6 - (4*c[12])/3 + c[13] + 
       (4*c[14])/3 + c[15] - 5*c[21] + c[22] + 3*c[23] - (17*c[24])/6 + 
       (29*c[25])/3 + c[26]/4)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + (-18*c[1] + 34*c[2] + 6*c[3] + 6*c[5] + 2*c[6] - 34*c[7] + 
       (57*c[8])/2 - (89*c[9])/2 - (115*c[10])/3 + 12*c[12] + 2*c[13] - 
       2*c[14] + 18*c[22] + 2*c[23] - 3*c[24] + 24*c[25] - (9*c[26])/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (15*c[1] + 6*c[2] + 4*c[3] - 14*c[5] + 8*c[6] - 4*c[7] - c[8] + 
       11*c[9] + (23*c[10])/3 + 2*c[11] + 2*c[12] - 2*c[13] - 2*c[14] + 
       6*c[21] - 4*c[22] - 18*c[23] + 4*c[24] + 25*c[25] - 19*c[26])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (-3*c[1] + 2*c[2] + 2*c[3] + 2*c[5] - (11*c[6])/2 - 5*c[7] + 8*c[8] - 
       3*c[9] - (25*c[10])/6 + 2*c[12] + c[13] - c[14] - 2*c[21] + c[22] + 
       2*c[23] - c[24]/2 + 4*c[25] - c[26]/4)*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + (-2*c[1] - (19*c[2])/2 + (23*c[3])/6 + 
       11*c[5] + 4*c[6] + 5*c[7] + (9*c[8])/2 + 26*c[9] + (41*c[10])/6 - 
       2*c[11] + 2*c[12] + c[13] - 3*c[14] + 10*c[15] - c[20] - c[21] - 
       13*c[22] - 4*c[23] - 2*c[24] + 16*c[25] - 10*c[26])*
      HPL[{0, 1}, 1 - u]^2*\[Zeta][2] + ((5*c[1])/2 + (13*c[2])/3 + 
       (7*c[3])/3 + 9*c[5] - 4*c[7] - (193*c[8])/6 - (9*c[9])/2 - 
       (223*c[10])/18 + 6*c[12] - 2*c[13] + c[14] + 5*c[15] + 4*c[19] - 
       3*c[23] + 2*c[24] - c[25]/3 - (49*c[26])/6)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + ((-103*c[1])/3 - (40*c[2])/3 - 
       (15*c[3])/2 + (14*c[5])/3 - (39*c[6])/4 - (55*c[7])/6 + 
       (769*c[8])/12 + (49*c[9])/4 + (11*c[10])/18 + (22*c[12])/3 + 6*c[13] - 
       (16*c[14])/3 + 18*c[15] + 4*c[20] - 2*c[21] + (21*c[22])/2 - 
       (161*c[24])/12 + 11*c[25] - (217*c[26])/24)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((-37*c[1])/3 + (95*c[2])/6 - (103*c[3])/6 - (11*c[5])/6 + c[6] - 
       c[7]/6 + 14*c[8] - (9*c[9])/2 + (21*c[10])/2 + (29*c[12])/6 - 
       (23*c[14])/6 + 3*c[15] - c[21] + 2*c[22] - (9*c[23])/2 - (7*c[24])/6 + 
       (22*c[25])/3 - (27*c[26])/4)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + (-3*c[1] - (2*c[2])/3 + (2*c[3])/3 - 12*c[5] - 16*c[6] - 
       8*c[7] + (55*c[8])/3 - (15*c[9])/2 - (47*c[10])/9 - 4*c[12] + 
       2*c[13] - 2*c[14] + 4*c[22] + 4*c[23] - 2*c[24] - (55*c[25])/3 + 
       (107*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + ((59*c[1])/3 - (50*c[2])/3 + (10*c[3])/3 + (20*c[5])/3 + 
       10*c[6] + (34*c[7])/3 - (63*c[8])/2 + 46*c[9] + (43*c[10])/3 + 
       4*c[11] - (20*c[12])/3 - 2*c[13] + (26*c[14])/3 + 2*c[21] - 2*c[22] - 
       4*c[23] + c[24]/3 - (29*c[25])/3 - 2*c[26])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (3*c[1] - 8*c[2] + (16*c[3])/3 + 6*c[5] - c[6]/2 + 5*c[7] - 18*c[8] + 
       15*c[9] - (5*c[10])/2 - 2*c[12] - c[13] + c[14] - 5*c[22] - 2*c[23] - 
       (3*c[24])/2 - (3*c[26])/4)*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + (-19*c[1] - 11*c[2] - (11*c[3])/3 + 11*c[5] + 8*c[6] + 
       12*c[7] + (25*c[8])/2 + 53*c[9] + (13*c[10])/3 + 4*c[12] + 18*c[15] + 
       2*c[20] - 4*c[21] + 8*c[22] + 10*c[23] - 9*c[24] + 19*c[25] - 
       10*c[26])*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((-43*c[1])/2 - (19*c[2])/2 - (47*c[3])/6 + 3*c[5] - 12*c[6] + c[7] - 
       8*c[8] + 17*c[9] - (107*c[10])/6 + c[11] + 3*c[13] + 4*c[14] + 
       8*c[15] - c[20] - 7*c[21] + 5*c[22] + 14*c[23] - 4*c[24] + c[25]/2 + 
       (19*c[26])/2)*HPL[{0, 1}, 1 - v]^2*\[Zeta][2] + 
     ((-15*c[1])/2 - 15*c[2] - 19*c[3] + 7*c[5] - 4*c[6] + 20*c[7] - 
       (51*c[8])/2 + (67*c[9])/2 + (37*c[10])/2 - 6*c[12] - 2*c[13] - c[14] + 
       3*c[15] + 2*c[21] - 8*c[22] - 5*c[23] + 2*c[24] - c[25] + c[26]/2)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (2*c[1] - (25*c[2])/3 + (47*c[3])/3 + 2*c[5] - 8*c[6] - 22*c[7] + 
       (353*c[8])/3 - 25*c[9] - (157*c[10])/9 + 6*c[12] - 2*c[13] + 2*c[15] + 
       2*c[20] - 2*c[21] + 16*c[22] + 6*c[23] - 4*c[24] - (38*c[25])/3 + 
       (14*c[26])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + ((-47*c[1])/3 + (50*c[2])/3 - (68*c[3])/3 - (5*c[5])/3 + 
       (15*c[6])/2 - (19*c[7])/3 - 16*c[8] - 10*c[9] + (35*c[10])/6 + 
       (32*c[12])/3 - c[13] - (20*c[14])/3 + 3*c[15] + 5*c[21] - 5*c[22] - 
       19*c[23] - (11*c[24])/6 + (35*c[25])/3 - (77*c[26])/4)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (-12*c[1] + (77*c[2])/6 + (3*c[3])/2 - 4*c[5] - (23*c[6])/4 - 
       (25*c[7])/2 + (127*c[8])/12 - (11*c[9])/4 - (355*c[10])/18 + 4*c[12] - 
       2*c[14] + c[22]/2 - 2*c[23] - (35*c[24])/4 - (7*c[25])/3 + 
       (203*c[26])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + ((115*c[1])/6 - (44*c[2])/3 + (121*c[3])/6 + (91*c[5])/6 + 
       (9*c[6])/2 + (83*c[7])/6 - (71*c[8])/2 + (51*c[9])/2 + (15*c[10])/2 - 
       2*c[11] - (20*c[12])/3 - 2*c[13] - (4*c[14])/3 - 4*c[15] + 2*c[20] - 
       2*c[21] - 2*c[22] + c[23]/2 + (7*c[24])/3 + (37*c[25])/3 - 
       (15*c[26])/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + (c[2] - (7*c[3])/3 + (3*c[6])/2 + (21*c[8])/2 - 9*c[9] + 
       (19*c[10])/3 + 2*c[22] - c[24]/2 - 2*c[25] - (11*c[26])/4)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (-10*c[1] - 11*c[2] - (17*c[3])/3 + 12*c[5] - 13*c[6] - 4*c[7] + 
       38*c[8] - 13*c[9] + (10*c[10])/3 + 2*c[11] + 6*c[12] - 2*c[13] - 
       4*c[14] - 2*c[15] + 2*c[20] - 2*c[21] + 8*c[22] + 2*c[23] - 13*c[24] + 
       27*c[25] - (37*c[26])/2)*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + (-7*c[1] - 19*c[2] + (29*c[3])/3 + 7*c[5] - 4*c[6] - 
       6*c[7] + (59*c[8])/2 + 38*c[9] - (77*c[10])/3 - 2*c[11] + 4*c[12] - 
       4*c[13] - 6*c[14] + 8*c[15] + 4*c[21] + 14*c[22] - 22*c[23] - 
       8*c[24] - 12*c[25] + c[26]/2)*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + (18*c[1] - (47*c[2])/2 + (57*c[3])/2 + 4*c[5] - 12*c[6] + 
       2*c[7] - 25*c[8] - (103*c[10])/6 + c[11] - 4*c[12] + 2*c[13] - 
       2*c[14] - 2*c[15] + c[21] + 5*c[22] - c[24] + (9*c[25])/2 + c[26]/2)*
      HPL[{0, 1}, 1 - w]^2*\[Zeta][2] + 
     (4*c[1] - (45*c[2])/2 - (209*c[3])/6 + 12*c[5] + (13*c[6])/4 + 
       (55*c[7])/2 - (167*c[8])/4 + (131*c[9])/4 + (239*c[10])/6 + 8*c[11] - 
       8*c[12] - 8*c[13] + 8*c[14] - 6*c[15] - (7*c[22])/2 - 4*c[23] + 
       (13*c[24])/4 - (31*c[25])/2 - (107*c[26])/8)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + ((13*c[1])/2 + (5*c[2])/2 + 3*c[5] - 
       (11*c[6])/2 - 4*c[7] + (17*c[8])/2 + (33*c[9])/2 + (44*c[10])/3 - 
       4*c[12] - 6*c[14] + 2*c[15] - 8*c[21] + (5*c[23])/2 - (7*c[24])/2 + 
       8*c[25] - (19*c[26])/2)*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      \[Zeta][2] + (-9*c[1] + 4*c[2] - (8*c[3])/3 + (4*c[10])/3 + 4*c[11] + 
       4*c[12] - 4*c[21] + 2*c[23] + 4*c[25] - 4*c[26])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + (-c[1] - 13*c[2] + (13*c[3])/6 + 
       6*c[5] - (87*c[6])/4 - c[7]/2 - (39*c[8])/4 - (75*c[9])/4 - 
       (17*c[10])/6 - 2*c[13] + 20*c[15] + 4*c[19] + c[22]/2 - 2*c[23] - 
       (23*c[24])/4 + 3*c[25] + (21*c[26])/8)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + ((-29*c[1])/2 + (33*c[2])/2 - 
       (89*c[3])/6 + c[5]/2 + (3*c[6])/2 + (9*c[7])/2 + (75*c[8])/2 - 
       (21*c[9])/2 + (139*c[10])/6 - 4*c[11] + (19*c[12])/2 - (19*c[14])/2 + 
       4*c[15] + 4*c[20] + 12*c[21] + 8*c[22] - (39*c[23])/2 + c[25] - 
       20*c[26])*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (5*c[6] - 9*c[8] + 17*c[9] - 6*c[22] + 3*c[24] - 4*c[25] - c[26]/2)*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (-9*c[1] + (3*c[2])/2 + (13*c[3])/6 + 2*c[5] - (43*c[6])/4 - 
       (5*c[7])/2 + (15*c[8])/4 - (13*c[9])/4 + (49*c[10])/6 + 4*c[13] + 
       8*c[15] + 4*c[19] + 4*c[20] + 4*c[21] + (9*c[22])/2 - 6*c[23] - 
       (19*c[24])/4 + 6*c[25] + (9*c[26])/8)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + ((23*c[1])/2 - 6*c[2] - (7*c[3])/6 - 
       (3*c[5])/2 + (9*c[6])/2 + c[7]/2 - (35*c[8])/2 + (37*c[9])/2 + 
       (31*c[10])/6 - 2*c[12] - 4*c[13] + 6*c[14] + 8*c[21] - 6*c[22] - 
       (27*c[23])/2 + 3*c[24] + 3*c[25] - (17*c[26])/2)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     (4*c[6] + 40*c[8] - 8*c[9] + (56*c[10])/3 + 8*c[22] - 4*c[24] - 
       6*c[25] - 10*c[26])*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     (2*c[1] + (70*c[2])/3 + 2*c[3] - 12*c[5] - 9*c[6] - 18*c[7] + 
       (259*c[8])/3 - 59*c[9] - (44*c[10])/9 + 4*c[13] - 8*c[15] - 4*c[19] + 
       18*c[22] + 4*c[23] - 3*c[24] + (26*c[25])/3 + (23*c[26])/6)*
      HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + 
     ((38*c[1])/3 + (136*c[2])/3 + 18*c[3] - (40*c[5])/3 - 62*c[6] + 
       (16*c[7])/3 - 156*c[8] - 72*c[9] - 6*c[10] - 4*c[11] - (44*c[12])/3 + 
       8*c[13] + (20*c[14])/3 - 24*c[15] + 4*c[20] - 6*c[21] + 18*c[23] + 
       (64*c[24])/3 - (188*c[25])/3 + 53*c[26])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + (48*c[1] - 32*c[2] - (40*c[3])/3 - 
       20*c[5] - 8*c[6] + 24*c[7] - 74*c[8] + (122*c[10])/3 - 8*c[12] - 
       8*c[13] + 4*c[14] - 12*c[22] + 18*c[24] - 26*c[25] - 7*c[26])*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + 
     (44*c[1] + (208*c[2])/3 + (52*c[3])/3 - 8*c[5] + 9*c[6] - 24*c[7] - 
       (323*c[8])/3 - 75*c[9] - (68*c[10])/9 + 4*c[11] - 12*c[13] - 
       28*c[15] - 8*c[20] + 4*c[21] - 42*c[22] - 20*c[23] + 13*c[24] + 
       (44*c[25])/3 - (37*c[26])/6)*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      \[Zeta][2] + ((104*c[1])/3 - (50*c[2])/3 + (74*c[3])/3 + (14*c[5])/3 + 
       6*c[6] - (14*c[7])/3 - 2*c[8] - 36*c[9] - (50*c[10])/3 - 
       (14*c[12])/3 + (38*c[14])/3 - 4*c[15] + 26*c[21] - 30*c[23] + 
       (28*c[24])/3 - (56*c[25])/3 - 6*c[26])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + (-6*c[1] + 40*c[2] - (4*c[3])/3 - 
       8*c[5] - 14*c[6] - 8*c[7] + 76*c[8] - 78*c[9] - 10*c[10] - 8*c[11] + 
       4*c[13] - 4*c[14] + 4*c[20] + 8*c[21] + 12*c[22] - 8*c[23] + 2*c[24] + 
       2*c[25] + c[26])*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     (36*c[1] - (26*c[2])/3 - (2*c[3])/3 - 8*c[5] + 13*c[6] - (47*c[8])/3 - 
       13*c[9] + (136*c[10])/9 - 8*c[12] + 4*c[14] - 14*c[22] + 17*c[24] - 
       (46*c[25])/3 - (61*c[26])/6)*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
      \[Zeta][2] + ((-4*c[1])/3 + (112*c[2])/3 - 14*c[3] - (94*c[5])/3 - 
       8*c[6] - (62*c[7])/3 + 70*c[8] - 106*c[9] - 8*c[10] + 4*c[11] + 
       (28*c[12])/3 + 4*c[13] + (20*c[14])/3 - 4*c[20] + 26*c[21] + 
       12*c[22] - 26*c[23] + (34*c[24])/3 - (74*c[25])/3 - c[26])*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     (-5*c[1] - (62*c[3])/3 + 28*c[5] + 10*c[6] + 16*c[7] - 2*c[8] + 
       30*c[9] + 34*c[10] + 10*c[11] - 4*c[13] - 12*c[14] + 6*c[15] - 
       24*c[21] + 20*c[23] - 2*c[24] + 4*c[25] - 29*c[26])*
      HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (-21*c[1] + 8*c[2] - 16*c[3] + 6*c[5] - 9*c[6] - 8*c[7] + 34*c[8] - 
       8*c[9] + 12*c[10] + 8*c[12] - 2*c[13] - 4*c[14] + 34*c[15] + 2*c[19] + 
       6*c[22] - 2*c[23] - 5*c[24] - 8*c[25] - (11*c[26])/2)*
      HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (-16*c[1] + 2*c[2] + 4*c[3] + 6*c[5] - 27*c[6] - 14*c[7] + 35*c[8] - 
       34*c[9] + 10*c[10] + 12*c[13] - 2*c[14] + 2*c[19] - 6*c[20] + 
       6*c[22] - 2*c[23] - 5*c[24] - 8*c[25] - (19*c[26])/2)*
      HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][2] + 
     (-32*c[1] + 50*c[2] + 18*c[3] - 32*c[5] - 76*c[6] - 24*c[7] - 88*c[8] - 
       50*c[9] + (20*c[10])/3 - 8*c[11] - 8*c[12] + 8*c[13] - 4*c[14] - 
       28*c[15] + 4*c[20] - 24*c[21] + 12*c[22] + 44*c[23] - 20*c[24] - 
       20*c[25] + 74*c[26])*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2] + 
     (64*c[1] + 14*c[2] + 66*c[3] + 16*c[5] + 12*c[6] - 16*c[7] - 114*c[8] + 
       6*c[9] - 22*c[10] + 4*c[11] - 8*c[12] - 12*c[13] - 4*c[14] - 
       28*c[15] - 4*c[20] + 12*c[21] - 36*c[22] - 24*c[23] + 8*c[24] + 
       12*c[26])*HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2] + 
     (-28*c[1] + 46*c[2] - (26*c[3])/3 + 14*c[5] - 4*c[6] - 12*c[7] - 
       140*c[8] + 2*c[9] - 24*c[10] - 4*c[11] + 8*c[13] + 8*c[14] + 4*c[21] - 
       36*c[22] - 16*c[23] + 12*c[25] + 8*c[26])*HPL[{0, 0, 1, 1}, 1 - w]*
      \[Zeta][2] + (c[1] - 66*c[2] + (194*c[3])/3 + 6*c[5] + 16*c[6] - 
       10*c[7] - 4*c[8] + 136*c[9] - (148*c[10])/3 - 4*c[13] + 36*c[15] + 
       28*c[19] - 42*c[22] - 2*c[23] + 2*c[24] + 24*c[25] + 5*c[26])*
      HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2] + 
     (-82*c[1] - 26*c[2] - (32*c[3])/3 - 6*c[5] - 24*c[6] + 4*c[7] - 
       54*c[8] + 140*c[9] - (28*c[10])/3 - 8*c[12] - 12*c[14] + 4*c[15] - 
       72*c[21] - 6*c[22] + 98*c[23] - 34*c[24] + 37*c[25] + 33*c[26])*
      HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2] + 
     (3*c[1] - 40*c[2] + (160*c[3])/3 - 6*c[5] - 24*c[6] + 4*c[7] - 54*c[8] + 
       104*c[9] - (128*c[10])/3 - 6*c[22] + 2*c[23] - 16*c[24] + 13*c[25] + 
       30*c[26])*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2] + 
     (-11*c[1] + 4*c[2] - (52*c[3])/3 + 6*c[5] + 6*c[6] + 10*c[7] - 7*c[8] + 
       11*c[9] + (41*c[10])/3 + 4*c[12] - 2*c[13] - 2*c[14] + 4*c[15] - 
       2*c[23] - 6*c[25] - 4*c[26])*Omega2[u, v, w]*\[Zeta][2] + 
     (-9*c[1] + 12*c[2] - (4*c[3])/3 - 6*c[5] - 2*c[6] - 10*c[7] + 47*c[8] - 
       19*c[9] + 5*c[10] + 4*c[12] + 2*c[13] - 2*c[14] + 8*c[22] + 2*c[23] - 
       4*c[24] - 2*c[26])*Omega2[v, w, u]*\[Zeta][2] + 
     (9*c[1] - 12*c[2] + (4*c[3])/3 + 6*c[5] + 6*c[6] + 10*c[7] - 7*c[8] + 
       11*c[9] + (41*c[10])/3 - 4*c[12] - 2*c[13] + 2*c[14] - 2*c[23] - 
       6*c[25] - 8*c[26])*Omega2[w, u, v]*\[Zeta][2] + 
     (2*c[1] + (16*c[2])/5 + (376*c[3])/15 + (8*c[4])/5 - 12*c[5] - 
       (81*c[6])/5 - (78*c[7])/5 + (114*c[8])/5 - (82*c[9])/5 - 
       (358*c[10])/15 + 4*c[13] - 4*c[15] + (2*c[17])/5 + (22*c[22])/5 + 
       4*c[23] - (33*c[24])/5 + (42*c[25])/5 + (23*c[26])/2)*
      HPL[{1}, 1 - u]^2*\[Zeta][2]^2 + (6*c[1] + (24*c[2])/5 - (8*c[3])/5 + 
       (28*c[5])/5 - (76*c[6])/5 + (156*c[7])/5 - 43*c[8] + (201*c[9])/5 + 
       (154*c[10])/5 - (24*c[12])/5 + (16*c[13])/5 + (24*c[14])/5 - 
       (16*c[15])/5 - (56*c[22])/5 + (24*c[23])/5 - (22*c[24])/5 - 26*c[25] + 
       (89*c[26])/5)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][2]^2 + 
     ((111*c[1])/5 - (108*c[2])/5 + (134*c[3])/5 + (6*c[5])/5 - 8*c[6] + 
       (24*c[7])/5 - (126*c[8])/5 + (94*c[9])/5 - (154*c[10])/15 - 
       (52*c[12])/5 + (32*c[14])/5 - 4*c[15] - (2*c[18])/5 - 4*c[22] + 
       (48*c[23])/5 + (8*c[24])/5 - (33*c[25])/5 + (82*c[26])/5)*
      HPL[{1}, 1 - v]^2*\[Zeta][2]^2 + ((112*c[1])/5 - (152*c[2])/5 - 
       (208*c[3])/15 - (24*c[5])/5 + (168*c[6])/5 + (172*c[7])/5 + 
       (141*c[8])/5 + (157*c[9])/5 + (94*c[10])/5 - 8*c[12] - 4*c[13] + 
       (36*c[14])/5 + (16*c[15])/5 + (8*c[23])/5 + (62*c[24])/5 - 
       (112*c[25])/5 - (17*c[26])/5)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      \[Zeta][2]^2 + ((-156*c[1])/5 + (76*c[2])/5 - 16*c[3] - 32*c[5] + 
       (36*c[6])/5 - (108*c[7])/5 + (562*c[8])/5 - (316*c[9])/5 - 
       (146*c[10])/15 + (56*c[12])/5 + (4*c[13])/5 - (16*c[14])/5 + 
       (36*c[15])/5 - (4*c[18])/5 + (68*c[22])/5 + (108*c[23])/5 + 
       (12*c[24])/5 + (4*c[25])/5 - (14*c[26])/5)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*\[Zeta][2]^2 + ((-44*c[3])/15 + (16*c[5])/5 - 2*c[6] - 
       20*c[8] + 8*c[9] - (136*c[10])/15 - 4*c[22] + 2*c[24] + 3*c[25] + 
       5*c[26])*HPL[{1}, 1 - w]^2*\[Zeta][2]^2 + 
     ((-42*c[1])/5 + (156*c[2])/5 + (64*c[3])/5 - (316*c[5])/5 + 
       (18*c[6])/5 - 32*c[7] + (698*c[8])/5 - 96*c[9] - (110*c[10])/3 - 
       4*c[11] + (28*c[12])/5 + 8*c[13] + (8*c[14])/5 + (48*c[15])/5 + 
       (16*c[19])/5 + (104*c[22])/5 + (112*c[23])/5 + (2*c[24])/5 - 
       (152*c[25])/5 + (189*c[26])/5)*HPL[{0, 1}, 1 - u]*\[Zeta][2]^2 + 
     ((264*c[1])/5 - (132*c[2])/5 + (292*c[3])/15 - (176*c[5])/5 + 
       (128*c[6])/5 + (52*c[7])/5 + (362*c[8])/5 - (244*c[9])/5 - 
       (2*c[10])/5 - 4*c[11] - 4*c[12] + (16*c[14])/5 - (56*c[15])/5 + 
       (4*c[18])/5 - (16*c[19])/5 - (76*c[22])/5 + (32*c[23])/5 + 
       (76*c[24])/5 - (114*c[25])/5 - (2*c[26])/5)*HPL[{0, 1}, 1 - v]*
      \[Zeta][2]^2 + (-6*c[1] - (28*c[2])/5 - (184*c[3])/5 - (156*c[5])/5 + 
       (74*c[6])/5 + (76*c[7])/5 + (347*c[8])/5 - (232*c[9])/5 - 
       (38*c[10])/5 + 4*c[11] - (36*c[12])/5 + (72*c[14])/5 - (16*c[15])/5 + 
       (8*c[18])/5 - (16*c[19])/5 - (76*c[22])/5 + (56*c[23])/5 + 
       (92*c[24])/5 - 30*c[25] + c[26]/5)*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2 + 
     ((676*c[1])/35 + (212*c[2])/15 - (1108*c[3])/35 + (256*c[4])/35 - 
       (296*c[5])/35 + (696*c[6])/7 + (184*c[7])/7 + (556*c[8])/7 - 
       (8504*c[9])/105 + (772*c[10])/35 + (32*c[12])/7 - (752*c[13])/35 + 
       (88*c[14])/35 - (368*c[15])/35 + (64*c[17])/35 - (16*c[18])/5 - 
       (64*c[19])/7 + (296*c[20])/35 + (976*c[21])/105 + (264*c[22])/7 + 
       (32*c[23])/21 + (844*c[24])/35 - (4472*c[25])/105 + (584*c[26])/105 + 
       (2*c[28])/35)*\[Zeta][2]^3 + ((-4*c[2])/3 + (16*c[3])/9 - c[4]/3 - 
       (17*c[6])/6 - (31*c[8])/6 - (3*c[9])/2 - (8*c[10])/9 + 2*c[15] - 
       c[16]/3 + (5*c[19])/3 - c[24]/2 + (7*c[25])/3 - (19*c[26])/12)*
      HPL[{1}, 1 - u]^3*\[Zeta][3] + ((-73*c[1])/6 + (2*c[2])/3 - 4*c[3] + 
       (35*c[5])/6 + (29*c[6])/2 - (37*c[7])/3 + (135*c[8])/2 - (17*c[9])/2 + 
       (25*c[10])/6 + (8*c[12])/3 + 2*c[13] - (8*c[14])/3 - c[15] - 2*c[19] - 
       c[21] + 4*c[22] - 6*c[23] - (53*c[24])/6 + (98*c[25])/3 - 
       (49*c[26])/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][3] + 
     ((-21*c[1])/2 - (109*c[2])/3 - 3*c[3] + 7*c[5] + 2*c[6] + 10*c[7] - 
       (137*c[8])/6 + (51*c[9])/2 + (29*c[10])/9 - 2*c[12] - 2*c[14] + 
       5*c[15] + c[20] - 5*c[21] + 3*c[22] + 2*c[23] - 9*c[24] + c[25]/3 + 
       (43*c[26])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][3] + 
     ((5*c[1])/6 + (11*c[2])/3 - (4*c[3])/3 - (8*c[5])/3 - c[6]/2 - c[7]/3 - 
       c[8]/2 + (5*c[9])/2 + (43*c[10])/9 - (7*c[12])/3 + (5*c[14])/3 - 
       c[21]/3 - 3*c[23] - (5*c[24])/6 + 2*c[25] - (25*c[26])/12)*
      HPL[{1}, 1 - v]^3*\[Zeta][3] + (4*c[2] - 2*c[3] + (3*c[5])/2 + 
       (5*c[6])/2 - 5*c[7] + (85*c[8])/2 - 2*c[9] - (13*c[10])/6 - 2*c[15] - 
       2*c[19] + 2*c[22] + (3*c[24])/2 + 2*c[25] - (5*c[26])/4)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (5*c[1] + 36*c[2] + 2*c[3] - c[5] + 4*c[6] + 4*c[7] - (151*c[8])/2 + 
       (77*c[9])/2 + (37*c[10])/3 + 2*c[11] + 6*c[12] - 6*c[14] - 6*c[15] + 
       2*c[20] - 2*c[21] + 2*c[22] - 4*c[23] - 3*c[24] + 6*c[25] - 
       (11*c[26])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      \[Zeta][3] + (-3*c[1] + c[2] - (10*c[3])/3 + (3*c[5])/2 + c[6]/2 - 
       3*c[7] - (5*c[8])/2 - c[9] - (55*c[10])/6 + c[11] + 3*c[12] - 
       2*c[14] + 4*c[21] - 10*c[23] - (3*c[24])/2 - 5*c[25] - (19*c[26])/4)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][3] + 
     ((-9*c[1])/2 - (4*c[2])/3 - (8*c[3])/3 - 2*c[6] + 6*c[7] - (22*c[8])/3 - 
       7*c[9] + (32*c[10])/9 - 5*c[24] + c[25]/3 + (25*c[26])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     ((23*c[1])/6 - (10*c[2])/3 + (16*c[3])/3 - (8*c[5])/3 - 2*c[6] + 
       (2*c[7])/3 - 8*c[8] + (27*c[9])/2 + c[10] + (2*c[12])/3 - 
       (2*c[14])/3 - 4*c[23] - c[24]/3 - (28*c[25])/3 + (5*c[26])/2)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     ((-2*c[3])/9 + (2*c[10])/9)*HPL[{1}, 1 - w]^3*\[Zeta][3] + 
     (7*c[1] - (4*c[2])/3 + 4*c[3] - 6*c[5] + 4*c[6] - 2*c[7] + 
       (179*c[8])/3 - 10*c[9] - (10*c[10])/9 + 4*c[11] - 2*c[12] + 2*c[14] - 
       2*c[15] + 6*c[20] - 6*c[22] + 2*c[23] + 6*c[24] + (4*c[25])/3 + 
       (2*c[26])/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     ((16*c[1])/3 - (16*c[2])/3 - (10*c[3])/3 + (16*c[5])/3 + 8*c[6] - 
       (40*c[7])/3 - 79*c[8] - 2*c[9] - (10*c[10])/3 - 2*c[11] + 
       (14*c[12])/3 + 2*c[13] - (38*c[14])/3 + 4*c[15] + 2*c[20] + 4*c[22] - 
       16*c[23] - (16*c[24])/3 + (80*c[25])/3 - 42*c[26])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*\[Zeta][3] + (-6*c[1] + 14*c[2] - (10*c[3])/3 - 
       2*c[6] - 32*c[8] + 16*c[9] + (26*c[10])/3 + 2*c[11] + 6*c[12] - 
       4*c[14] + 2*c[20] - 6*c[21] + 4*c[22] + 6*c[23] - 6*c[25] - 6*c[26])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     (5*c[1] + (20*c[2])/3 - (14*c[3])/3 - 6*c[5] + 14*c[6] - 14*c[7] + 
       (71*c[8])/3 + 38*c[9] + (176*c[10])/9 - 2*c[12] + 6*c[13] + 2*c[14] + 
       4*c[15] - 4*c[20] + 12*c[22] + 6*c[23] + 4*c[24] + (64*c[25])/3 - 
       (4*c[26])/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][3] + 
     ((-8*c[1])/3 - (34*c[2])/3 + 4*c[3] + (4*c[5])/3 + c[6] + (2*c[7])/3 - 
       21*c[8] + 3*c[9] - (58*c[10])/3 - 2*c[11] + (2*c[12])/3 - 4*c[13] - 
       (14*c[14])/3 - 2*c[15] - 6*c[21] + 2*c[23] + (5*c[24])/3 - 
       (28*c[25])/3 + (21*c[26])/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      \[Zeta][3] + (-6*c[1] + 4*c[2] - (4*c[3])/3 + c[6] + 8*c[7] - 36*c[8] + 
       17*c[9] + (10*c[10])/3 - 2*c[11] - 2*c[13] - 2*c[14] - 4*c[21] - 
       2*c[22] - 3*c[24] + 12*c[25] - (3*c[26])/2)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*\[Zeta][3] + (-17*c[1] + (128*c[2])/3 + (2*c[3])/3 - 
       6*c[5] - 2*c[6] - 24*c[7] + (35*c[8])/3 - 54*c[9] - (22*c[10])/9 + 
       2*c[11] + 8*c[12] + 4*c[13] - 2*c[14] + 8*c[15] + 4*c[19] + 4*c[20] + 
       2*c[21] + 10*c[22] - 4*c[23] - 4*c[24] + (118*c[25])/3 - (61*c[26])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][3] + 
     ((31*c[1])/3 - (76*c[2])/3 + (26*c[3])/3 - (8*c[5])/3 + 6*c[6] + 
       (2*c[7])/3 - 37*c[8] + 6*c[9] - 12*c[10] + (2*c[12])/3 - 2*c[13] - 
       (20*c[14])/3 - 2*c[15] - 8*c[21] - 2*c[22] + (2*c[24])/3 + 
       (20*c[25])/3 + 8*c[26])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      \[Zeta][3] + (6*c[1] + (8*c[3])/3 - 4*c[6] + 8*c[7] - 20*c[8] + 
       10*c[9] - (4*c[10])/3 - 2*c[12] + 2*c[14] + 4*c[23] - 12*c[25] + 
       6*c[26])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][3] + 
     (7*c[1] + (14*c[3])/3 + 8*c[5] + 18*c[6] + 4*c[7] - 24*c[8] + 12*c[9] - 
       (32*c[10])/3 - 2*c[11] + 4*c[12] - 12*c[14] + 4*c[15] + 8*c[20] + 
       8*c[21] - 28*c[23] - 2*c[24] + 40*c[25] - 47*c[26])*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][3] + (-7*c[1] - 8*c[2] - (44*c[3])/3 - 
       6*c[5] - 3*c[6] - 4*c[7] - 44*c[8] + 54*c[9] + (80*c[10])/3 + 
       2*c[13] + 4*c[15] + 2*c[19] - 4*c[20] - 4*c[21] + 2*c[22] + 6*c[23] - 
       3*c[24] + 8*c[25] + (3*c[26])/2)*HPL[{0, 0, 1}, 1 - v]*\[Zeta][3] + 
     (-16*c[1] + 26*c[2] - 12*c[3] - 10*c[5] - 19*c[6] - 10*c[7] - 43*c[8] + 
       44*c[9] + 30*c[10] + 12*c[13] - 2*c[14] + 2*c[19] - 10*c[20] - 
       4*c[21] + 2*c[22] + 6*c[23] - 3*c[24] + 8*c[25] + (3*c[26])/2)*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][3] + (-20*c[1] + 6*c[2] - 26*c[6] - 
       4*c[7] - 121*c[8] + 62*c[9] + (68*c[10])/3 - 8*c[11] + 10*c[13] - 
       8*c[14] - 4*c[15] - 12*c[20] + 16*c[22] - 6*c[23] - 12*c[24] - 
       8*c[25] + 4*c[26])*HPL[{0, 1, 1}, 1 - u]*\[Zeta][3] + 
     (6*c[1] + 34*c[2] - (34*c[3])/3 - 12*c[5] - 13*c[6] - 12*c[7] - 
       23*c[8] + 39*c[9] + 24*c[10] + 2*c[11] + 2*c[12] + 8*c[13] - 4*c[14] - 
       2*c[20] - 2*c[21] - 2*c[22] - 8*c[23] - 9*c[24] + 38*c[25] - 
       (45*c[26])/2)*HPL[{0, 1, 1}, 1 - v]*\[Zeta][3] + 
     (-28*c[1] + 2*c[2] + 2*c[3] - 4*c[5] + 3*c[6] - 10*c[7] - 27*c[8] + 
       53*c[9] + (70*c[10])/3 + 4*c[12] + 8*c[13] - 12*c[14] - 8*c[21] - 
       2*c[22] - 2*c[23] - 7*c[24] + 40*c[25] - (27*c[26])/2)*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][3] + (32*c[2] + 16*c[3] + 26*c[6] - 
       24*c[7] + 94*c[8] - 66*c[9] - (76*c[10])/3 - 16*c[11] + 12*c[12] + 
       4*c[13] - 12*c[14] - 4*c[15] - 2*c[17] - 20*c[20] - 4*c[22] - 
       2*c[24] + 10*c[25] - 7*c[26] - 2*c[27])*HPL[{1}, 1 - u]*\[Zeta][2]*
      \[Zeta][3] + (42*c[1] + (88*c[3])/3 + 32*c[5] + 4*c[6] - 8*c[7] + 
       16*c[8] - (176*c[10])/3 - 20*c[11] - 4*c[12] + 24*c[14] + 4*c[18] - 
       8*c[20] - 4*c[21] + 56*c[23] + 24*c[24] - 88*c[25] + 38*c[26])*
      HPL[{1}, 1 - v]*\[Zeta][2]*\[Zeta][3] + 
     (-8*c[1] - 24*c[2] + (76*c[3])/3 - 16*c[5] - 8*c[6] + 32*c[7] + 
       34*c[8] + 34*c[9] - (116*c[10])/3 + 20*c[11] + 4*c[13] - 8*c[14] + 
       4*c[15] + 2*c[17] - 2*c[18] + 28*c[20] - 32*c[21] + 4*c[22] + 
       48*c[23] - 8*c[24] - 8*c[25] + 30*c[26] + 2*c[27])*\[Zeta][3]^2 + 
     (-66*c[2] + 12*c[3] - 8*c[4] - 55*c[6] + 10*c[7] - 172*c[8] + 109*c[9] + 
       (58*c[10])/3 + 16*c[11] - 2*c[12] + 2*c[13] + 2*c[14] - 8*c[16] + 
       c[17] - 8*c[19] + 8*c[20] + 2*c[22] + c[24] - 3*c[25] + (3*c[26])/2 + 
       c[27])*HPL[{1}, 1 - u]*\[Zeta][5] + 
     (-95*c[1] - 52*c[3] - 32*c[5] + 14*c[6] - 4*c[7] + 18*c[8] + 96*c[9] + 
       88*c[10] + 8*c[11] + 2*c[12] - 8*c[13] - 62*c[14] - 2*c[18] - 
       4*c[20] - 60*c[21] - 40*c[23] - 62*c[24] + 162*c[25] - 65*c[26])*
      HPL[{1}, 1 - v]*\[Zeta][5]
