(****************************************************************)
(*  This file contains expressions for the nine coproduct       *)
(*  entries of the complete basis of parity even weight 6       *)
(*  hexagon functions B1[u,v,w], ... , B11[u,v,w].              *)
(*                                                              *)
(*  The coproduct entries of the nth basis function Bn[u,v,w]   *)
(*  can be extracted from the provided expressions by isolating *)
(*  the coefficient of b[n] in each expression. For instance,   *)
(*  the w coproduct entry of B1[u,v,w], denoted by              *)
(*  B1[u,v,w]^w, can be extracted in Mathematica using          *)
(*                                                              *)
(*       BuvwCoproductEntries[w]/.b[1]->1/.d[_]->0              *)
(*                                                              *)
(****************************************************************)


BuvwCoproductEntries[1 - u] = (-b[1]/2 + (5*b[2])/6 - b[3]/3)*
      HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v] + 
     ((-17*b[1])/24 + (17*b[2])/24 - b[3]/4 + b[4]/12 - b[5]/4 + b[6]/4 - 
       b[10]/24)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2 + 
     (b[2]/24 + b[3]/6 + (7*b[4])/24 + (11*b[10])/48 + b[11]/8)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3 - 
     (b[3]*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w])/3 + 
     (-b[1] + b[2]/2 - 2*b[3] + (5*b[4])/2 - (3*b[7])/2 + (3*b[8])/2 + 
       b[9]/4 + (5*b[11])/4)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w] + (b[1] - (11*b[2])/3 + (11*b[3])/4 + (19*b[4])/12 - 
       (3*b[5])/2 + (3*b[6])/2 + (5*b[7])/2 - (5*b[8])/2 + b[9]/4 + 
       (19*b[10])/12 - 3*b[11])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w] - (b[2]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
       HPL[{1}, 1 - w])/3 + ((-7*b[1])/8 + (15*b[2])/8 - b[3]/4 + b[4]/4 + 
       b[5]/4 - b[6]/4 + b[11]/4)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2 + 
     ((3*b[1])/4 - (89*b[2])/12 + (11*b[3])/4 + (19*b[4])/12 - 2*b[5] + 
       2*b[6] + (5*b[7])/2 - (5*b[8])/2 + b[9]/4 + (19*b[10])/12 - 3*b[11])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2 + 
     (-b[1]/8 + (11*b[2])/24 - (3*b[3])/4 + b[4]/3 + b[5]/4 - b[6]/4 - 
       b[7]/2 + b[8]/2 - b[10]/6 + (3*b[11])/8)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2 + 
     ((7*b[2])/24 - (5*b[4])/24 - b[10]/48 - b[11]/8)*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^2 + (b[1]/3 - b[2]/4 + b[3]/6 + b[4]/8 + (3*b[10])/16 - 
       b[11]/8)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3 + 
     (-b[2]/6 - b[4]/24 + b[10]/48 + b[11]/8)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^3 + (-b[2]/6 - b[4]/6 + b[10]/12 - b[11]/4)*
      HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u] + 
     ((-5*b[1])/2 - b[2] + b[3]/2 + (7*b[4])/2 + b[6] - b[7] + b[8] - b[10])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u] + 
     (b[1]/4 - (167*b[2])/36 + b[3] + (7*b[4])/9 - b[5]/2 + b[6]/2 + b[7] - 
       2*b[8] + (61*b[10])/36 - b[11]/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u] + (b[2]/12 + (7*b[4])/12 + (11*b[10])/24 + b[11]/4)*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u] + 
     (2*b[1] + (9*b[2])/2 + b[3]/2 + (7*b[4])/2 + b[5] - b[6] - b[7] + b[8] - 
       b[10])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (b[1] - (28*b[2])/3 + 3*b[3] + (11*b[4])/3 + 4*b[7] - 4*b[8] + 
       (7*b[10])/6 - (13*b[11])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (-b[2]/3 - b[4]/3 - b[10]/3 - b[11]/2)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u] + ((-3*b[1])/4 - (25*b[2])/12 + b[3] + (2*b[4])/3 - 
       (3*b[5])/2 + (3*b[6])/2 + b[7] - 2*b[8] + (5*b[10])/3 - b[11]/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (b[2]/6 - b[4]/3 - b[10]/3 - b[11]/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + (b[2]/2 + b[4]/4 + (3*b[10])/8 - b[11]/4)*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     ((-5*b[2])/6 + (7*b[4])/6 + b[5]/2 + (2*b[10])/3 - b[11]/4)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2 + 
     ((-5*b[2])/2 + (3*b[4])/2 + b[10]/4)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]^2 + (-b[2]/6 + (5*b[4])/6 + b[10]/12 - b[11])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     ((-11*b[1])/12 + (11*b[2])/12 + (7*b[3])/6 + (2*b[4])/3 - b[5]/2 + 
       b[6]/2 + b[7] - (3*b[8])/2 + b[9]/4 - b[10]/12 - b[11]/4)*
      HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v] + 
     ((-3*b[1])/2 - (25*b[2])/36 + (5*b[3])/2 - (49*b[4])/36 - b[5] + b[6] + 
       3*b[7] - 3*b[8] + (25*b[10])/72 - b[11]/12)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     (-3*b[2] + 2*b[4] + b[10] - b[11]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v] + (b[2]/3 - b[4]/6 - (5*b[10])/12)*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - v] + (b[1] - (11*b[2])/6 + b[3]/2 + (7*b[4])/6 - b[7] + 
       b[8] + b[10]/6 - b[11]/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + (-b[1]/2 - (23*b[2])/6 - b[3] - b[4]/3 - b[7] + 
       b[8] - (5*b[10])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + (b[2]/2 - b[4] - b[10]/2 + b[11]/2)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (-b[1]/4 + (17*b[2])/12 - (3*b[3])/2 + (2*b[4])/3 + b[5]/2 - b[6]/2 - 
       b[7] + b[8] - b[10]/3 + (3*b[11])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v] + ((59*b[2])/36 - (31*b[4])/36 - (11*b[10])/72 + 
       (7*b[11])/12)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     (-b[2]/3 - b[4]/12 + b[10]/24 + b[11]/4)*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v] + ((-13*b[1])/2 - (179*b[2])/18 + 8*b[3] - 
       (28*b[4])/9 - 10*b[5] + 7*b[6] + 8*b[7] - 8*b[8] + (56*b[10])/9 - 
       (53*b[11])/6)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((-139*b[2])/18 + (71*b[4])/18 + (67*b[10])/36 - b[11]/6)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((10*b[2])/3 - (5*b[4])/3 - (7*b[10])/6)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (-b[1]/2 - (13*b[2])/12 + (13*b[3])/4 - b[4]/12 + b[5]/2 + 3*b[7] - 
       3*b[8] - b[9]/4 + (8*b[10])/3 - b[11])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2 + ((-17*b[2])/6 + (2*b[4])/3 + (2*b[10])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2 + (b[2]/6 + (7*b[4])/6 - b[10]/12)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     ((3*b[1])/4 + b[2]/4 + (7*b[3])/6 + b[4] + b[5]/2 - b[6]/2 + b[7] - 
       (3*b[8])/2 + b[9]/4 + b[11]/4)*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w] + 
     ((-5*b[1])/2 - (16*b[2])/3 + b[3]/2 + (7*b[4])/6 - 2*b[5] + b[6] - 
       b[7] + b[8] + b[10]/6 - b[11]/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + (-b[1]/4 - b[2]/12 - (3*b[3])/2 + (2*b[4])/3 + 
       b[5]/2 - b[6]/2 - b[7] + b[8] - b[10]/3 + (3*b[11])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     ((7*b[2])/12 - (5*b[4])/12 - b[10]/24 - b[11]/4)*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - w] + (2*b[1] + b[2] + (5*b[3])/2 - (5*b[4])/4 + 
       3*b[7] - 3*b[8] + (3*b[10])/8 + b[11]/12)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (-b[1]/2 - (5*b[2])/6 - b[3] - b[4]/3 - b[7] + b[8] - (5*b[10])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((5*b[2])/18 - (35*b[4])/36 - (13*b[10])/72 + (5*b[11])/12)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((-3*b[2])/2 + 2*b[4] + b[10] - b[11]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     ((3*b[2])/2 - b[4] - b[10]/2 + b[11]/2)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (-b[2]/6 - b[4]/6 - (5*b[10])/12)*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w] + 
     ((3*b[1])/2 - (151*b[2])/6 + 8*b[3] - (2*b[4])/3 + b[6] + 8*b[7] - 
       8*b[8] + (41*b[10])/6 - (31*b[11])/6)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-2*b[2])/3 - (5*b[4])/3 - (7*b[10])/6)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((3*b[4])/2 + (5*b[10])/4 - (23*b[11])/6)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (-b[1]/2 + (11*b[2])/6 - 3*b[3] + b[4]/3 - b[6] - 2*b[7] + 2*b[8] - 
       (13*b[10])/6 + (3*b[11])/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((-19*b[2])/18 - (37*b[4])/18 - (41*b[10])/36 - 
       (5*b[11])/6)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((44*b[2])/9 + (7*b[4])/18 - (19*b[10])/36 + (17*b[11])/6)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-13*b[1])/4 - (8*b[2])/3 + (13*b[3])/4 + (7*b[4])/12 - (5*b[5])/2 + 
       (5*b[6])/2 + 3*b[7] - 3*b[8] - b[9]/4 + (17*b[10])/6)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2 + ((-7*b[2])/2 + b[4]/2 - b[10]/4 - b[11])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     ((8*b[2])/3 + (2*b[4])/3 + (2*b[10])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2 + ((-2*b[2])/3 - (2*b[4])/3 + b[10]/3 - b[11])*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u] + 
     (-b[1] - (22*b[2])/3 + 4*b[3] + (20*b[4])/3 + 2*b[5] - 2*b[6] - 
       b[10]/3 + b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u] + ((5*b[2])/18 + (4*b[4])/9 + (13*b[10])/36 - 
       (5*b[11])/12)*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u] + 
     (-3*b[1] + (4*b[2])/3 + 4*b[3] + (16*b[4])/3 - 2*b[5] + 2*b[6] - 
       (2*b[10])/3 - b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + ((14*b[2])/3 - (4*b[4])/3 - (4*b[10])/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (-b[2] + b[4] + b[10]/2 + (5*b[11])/12)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u] + ((-2*b[2])/3 + (4*b[4])/3 - (5*b[10])/3)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     ((47*b[2])/9 - (76*b[4])/9 - (11*b[10])/18 - (5*b[11])/6)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((8*b[2])/3 - (22*b[4])/3 - b[10]/3 + (5*b[11])/6)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + (-2*b[1] - (61*b[2])/36 + 3*b[3] - 
       (67*b[4])/36 - b[5] + b[6] + 4*b[7] - 4*b[8] - b[9]/2 + 
       (97*b[10])/72 - (7*b[11])/12)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - v] + (b[1] + 2*b[2] + 6*b[3] - 5*b[4] + 6*b[7] - 
       6*b[8] - 2*b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + ((7*b[2])/3 - (8*b[4])/3 - (8*b[10])/3 + b[11])*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v] + 
     (b[1] + (2*b[2])/3 - 3*b[3] + (2*b[4])/3 - 4*b[7] + 4*b[8] - 
       (4*b[10])/3 + b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + (-b[2] + 2*b[4] + b[10] + b[11])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((41*b[2])/36 - (31*b[4])/36 - (11*b[10])/72 - (5*b[11])/12)*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     (3*b[1] + (59*b[2])/18 + (71*b[4])/18 + 2*b[5] + (85*b[10])/36 + 
       (11*b[11])/6)*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (3*b[1] + (10*b[2])/3 - (2*b[4])/3 - 2*b[5] - (8*b[10])/3 + b[11])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (-3*b[1] + (53*b[2])/18 - (55*b[4])/18 - 4*b[5] - (59*b[10])/36 + 
       b[11]/6)*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (3*b[1] - b[2]/6 + 3*b[3] - (29*b[4])/12 + 4*b[7] - 4*b[8] - b[9]/2 + 
       (29*b[10])/24 - (17*b[11])/12)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - w] + (-2*b[1] + (8*b[2])/3 - 3*b[3] + (2*b[4])/3 - 
       4*b[7] + 4*b[8] - (4*b[10])/3 + b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + ((-5*b[2])/9 - (11*b[4])/36 - b[10]/72 + 
       (5*b[11])/12)*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w] + 
     (b[1] + b[2]/3 + 6*b[3] - (11*b[4])/3 - 2*b[5] + 2*b[6] + 6*b[7] - 
       6*b[8] + b[10]/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + (-b[2]/3 + (2*b[4])/3 + (2*b[10])/3 - b[11])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((7*b[2])/3 - (8*b[4])/3 - (8*b[10])/3 + b[11])*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w] + (b[1] - (2*b[2])/3 + (17*b[4])/6 + 2*b[5] + 
       (25*b[10])/12 + b[11]/6)*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     (3*b[1] - (4*b[2])/9 - (35*b[4])/18 - (49*b[10])/36 + (11*b[11])/6)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (-3*b[1] - (2*b[2])/3 - (2*b[4])/3 - (8*b[10])/3 + b[11])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (6*b[1] + (16*b[2])/3 - b[3] - (29*b[4])/3 - 2*b[6] + 2*b[7] - 2*b[8] + 
       b[10]/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((89*b[2])/18 - (35*b[4])/9 - (89*b[10])/36 + (7*b[11])/12)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     (-5*b[1] - (25*b[2])/3 - b[3] - (25*b[4])/3 - 2*b[5] + 2*b[7] - 2*b[8] + 
       (2*b[10])/3 + 2*b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + ((2*b[2])/3 + (2*b[4])/3 + (5*b[10])/3)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((5*b[2])/3 - (10*b[4])/3 - (7*b[10])/3 + (17*b[11])/12)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((11*b[2])/3 - (10*b[4])/3 - 2*b[5] - (23*b[10])/6 + 2*b[11])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (-4*b[1] + (41*b[2])/9 - 2*b[3] - (64*b[4])/9 - 2*b[7] + 2*b[8] - b[9] - 
       (16*b[10])/9 + (31*b[11])/6)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (2*b[1] + (26*b[2])/3 - 2*b[3] - (34*b[4])/3 - 
       2*b[5] - 2*b[7] + 2*b[8] - b[9] - (17*b[10])/6 - (7*b[11])/6)*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((21*b[1])/2 - (397*b[2])/36 + (407*b[4])/36 + 7*b[5] - 7*b[6] - 
       6*b[7] + 6*b[8] + b[9] + (145*b[10])/72 + (11*b[11])/12)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v] + 
     (2*b[1] + 8*b[2] + 3*b[3] - 5*b[4] + 2*b[7] - 2*b[8] - b[10] + b[11])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] - 
     2*b[2]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v] + 
     ((-16*b[2])/3 + (8*b[4])/3 + (5*b[10])/3 + b[11])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + (3*b[2] - b[11])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((-79*b[2])/36 + (29*b[4])/36 + b[10]/72 - (17*b[11])/12)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     ((71*b[2])/18 - (79*b[4])/18 + (55*b[10])/36 - (13*b[11])/6)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     ((47*b[2])/3 - (13*b[4])/3 - (17*b[10])/6 + b[11])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + ((101*b[2])/18 - (7*b[4])/18 + (55*b[10])/36 + 
       (13*b[11])/6)*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((-19*b[1])/2 - 8*b[2] + (43*b[4])/4 - 6*b[5] + 4*b[6] - 6*b[7] + 
       6*b[8] + b[9] + (15*b[10])/8 + b[11]/12)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - w] + ((2*b[2])/3 + (8*b[4])/3 + (5*b[10])/3 + b[11])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((-8*b[2])/9 + (49*b[4])/36 + (11*b[10])/72 - (7*b[11])/12)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w] + 
     (-b[1] + (11*b[2])/3 + 3*b[3] - (19*b[4])/3 - 2*b[5] + 2*b[6] + 2*b[7] - 
       2*b[8] - (4*b[10])/3 - b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((-5*b[2])/3 + (4*b[4])/3 + b[10]/3 + b[11])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((7*b[2])/3 - b[4]/6 + (31*b[10])/12 + (25*b[11])/6)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w] + ((-64*b[2])/9 - (83*b[4])/18 + (17*b[10])/36 - 
       (25*b[11])/6)*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((-22*b[2])/3 - (13*b[4])/3 - (17*b[10])/6 + b[11])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((-2*b[2])/3 - (2*b[4])/3 + b[10]/3 - b[11])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((34*b[2])/3 - (8*b[4])/3 - (5*b[10])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u] + ((-22*b[2])/3 - (4*b[4])/3 - (4*b[10])/3 + 
       2*b[11])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (2*b[1] - b[2] + 3*b[3] - b[4] + 2*b[7] - 2*b[8] + b[10])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-4*b[1] - (2*b[2])/3 - (2*b[4])/3 - (5*b[10])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v] + (4*b[1] + 4*b[2] - 2*b[4] - b[10])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-b[1] + (2*b[2])/3 + 3*b[3] - (7*b[4])/3 - 2*b[5] + 2*b[6] + 2*b[7] - 
       2*b[8] + (2*b[10])/3 - 2*b[11])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w] + (-4*b[1] + (4*b[2])/3 - (2*b[4])/3 - 
       (2*b[10])/3 + 2*b[11])*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (4*b[1] - (2*b[2])/3 - (2*b[4])/3 - (5*b[10])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + (4*b[2] - 4*b[4] - 2*b[5] - 3*b[10] + 
       2*b[11])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (10*b[2] - 6*b[4] - 2*b[10] - 2*b[11])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u] + ((2*b[2])/3 + (2*b[4])/3 - b[10]/3 + 
       8*b[11])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((-14*b[2])/3 + (4*b[4])/3 + 2*b[5] + b[10]/3 + 6*b[11])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v] + (6*b[2] + 2*b[4] + b[10] - 2*b[11])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((-2*b[2])/3 - (20*b[4])/3 - (2*b[10])/3 - 4*b[11])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + ((26*b[2])/3 - (16*b[4])/3 - 2*b[5] - 
       (4*b[10])/3 - 4*b[11])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (10*b[2] + b[10] + 6*b[11])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-16*b[2] + 2*b[4] + b[10] - 2*b[11])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + (b[2] + b[4] - b[10]/2 + (3*b[11])/2)*
      HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-4*b[1] - 10*b[2] + 8*b[4] + 5*b[10])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + (4*b[1] - 2*b[2] + 4*b[4] + 4*b[10] - 
       6*b[11])*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-3*b[1] + (3*b[2])/2 - (9*b[3])/2 + (3*b[4])/2 - 3*b[7] + 3*b[8] - 
       (3*b[10])/2 - 3*b[11])*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (4*b[2] + b[4] + (5*b[10])/2)*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-12*b[2] + 6*b[4] + 3*b[10])*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((3*b[1])/2 - 5*b[2] - (9*b[3])/2 + (11*b[4])/2 + 3*b[5] - 3*b[6] - 
       3*b[7] + 3*b[8] - b[10]/2 + 3*b[11])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w] + (-4*b[2] + 2*b[4] + 2*b[10] - 6*b[11])*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w] + (b[2] + b[4] + (5*b[10])/2)*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((-2*b[2])/3 + (4*b[4])/3 - (5*b[10])/3)*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     ((-2*b[2])/3 + (4*b[4])/3 - (5*b[10])/3)*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     ((-2*b[2])/3 + (4*b[4])/3 - (5*b[10])/3)*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     ((10*b[2])/3 - (20*b[4])/3 + (25*b[10])/3)*HPL[{0, 0, 0, 1, 1}, 1 - u] + 
     (-10*b[1] - (62*b[2])/3 + (16*b[4])/3 + 12*b[5] + (43*b[10])/3 - 
       6*b[11])*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     (10*b[1] + (10*b[2])/3 + (16*b[4])/3 + (43*b[10])/3 - 6*b[11])*
      HPL[{0, 0, 0, 1, 1}, 1 - w] + (-b[2] - 2*b[4] + 5*b[10] - b[11])*
      HPL[{0, 0, 1, 0, 1}, 1 - u] + (-6*b[1] - 7*b[2] + b[4] + 4*b[5] + 
       7*b[10] - 2*b[11])*HPL[{0, 0, 1, 0, 1}, 1 - v] + 
     (6*b[1] + 2*b[2] + b[4] + 7*b[10] - 2*b[11])*HPL[{0, 0, 1, 0, 1}, 
       1 - w] + (-22*b[2] + 20*b[4] + 12*b[5] + 23*b[10] - 12*b[11])*
      HPL[{0, 0, 1, 1, 1}, 1 - u] + (-94*b[2] + 26*b[4] + 17*b[10] - 6*b[11])*
      HPL[{0, 0, 1, 1, 1}, 1 - v] + (44*b[2] + 26*b[4] + 17*b[10] - 6*b[11])*
      HPL[{0, 0, 1, 1, 1}, 1 - w] + ((-23*b[2])/3 + (22*b[4])/3 + 4*b[5] + 
       (41*b[10])/6 - 4*b[11])*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     ((-98*b[2])/3 + (31*b[4])/3 + (29*b[10])/6 - 2*b[11])*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + ((43*b[2])/3 + (31*b[4])/3 + 
       (29*b[10])/6 - 2*b[11])*HPL[{0, 1, 0, 1, 1}, 1 - w] + 
     ((-2*b[2])/3 - (2*b[4])/3 - b[10]/6 - b[11])*M1[u, v, w] + 
     ((2*b[2])/3 - b[4]/3 - b[10]/3 + b[11])*M1[v, u, w] + 
     ((5*b[2])/3 - (4*b[4])/3 - b[5] - (5*b[10])/6)*M1[v, w, u] + 
     (2*b[2] - b[4] - b[10]/2)*M1[w, u, v] + 
     (b[2]/3 - (2*b[4])/3 - (2*b[10])/3 + b[11])*M1[w, v, u] + 
     ((5*b[2])/6 - (2*b[4])/3 - b[10]/6 + b[11]/2)*Nt[u, v, w] + 
     ((3*b[1])/2 - (7*b[2])/6 + b[4]/3 + b[5] - b[6] + b[10]/3 + b[11]/2)*
      HPL[{1}, 1 - u]*Omega2[u, v, w] + ((2*b[2])/3 - (4*b[4])/3 - 
       (4*b[10])/3 - b[11])*HPL[{1}, 1 - v]*Omega2[u, v, w] + 
     ((8*b[2])/3 - (4*b[4])/3 - b[10]/3 + b[11])*HPL[{1}, 1 - w]*
      Omega2[u, v, w] + (b[1]/2 + b[2]/6 + 3*b[3] - (4*b[4])/3 - b[5] + 
       b[6] + 2*b[7] - 2*b[8] + (2*b[10])/3 - b[11]/2)*HPL[{1}, 1 - u]*
      Omega2[v, w, u] + ((-4*b[2])/3 + (2*b[4])/3 - b[10]/3 + b[11])*
      HPL[{1}, 1 - v]*Omega2[v, w, u] + ((4*b[2])/3 - (2*b[4])/3 - 
       (2*b[10])/3 - b[11])*HPL[{1}, 1 - w]*Omega2[v, w, u] + 
     ((-3*b[1])/2 + b[2]/2 - b[4] - b[5] + b[6] - (3*b[11])/2)*
      HPL[{1}, 1 - u]*Omega2[w, u, v] + ((8*b[2])/3 - (4*b[4])/3 - b[10]/3 + 
       b[11])*HPL[{1}, 1 - v]*Omega2[w, u, v] + (-2*b[2] - b[10] + b[11])*
      HPL[{1}, 1 - w]*Omega2[w, u, v] + (b[2]/3 - (2*b[4])/3 + (5*b[10])/6)*
      Ot[u, v, w] + ((-32*b[2])/9 - (32*b[4])/9 - (80*b[10])/9 + 
       (32*b[11])/3)*Qep[u, v, w] + ((128*b[2])/9 - (160*b[4])/9 - 
       (112*b[10])/9 - (32*b[11])/3)*Qep[u, w, v] - 
     (32*b[11]*Qep[v, u, w])/3 + ((-64*b[2])/3 + (32*b[4])/3 - (16*b[10])/3 + 
       (32*b[11])/3)*Qep[v, w, u] + ((-64*b[2])/9 + (128*b[4])/9 + 
       (32*b[10])/9 + (32*b[11])/3)*Qep[w, u, v] + 
     ((160*b[2])/9 - (32*b[4])/9 - (80*b[10])/9 - (32*b[11])/3)*
      Qep[w, v, u] + (b[2]/6 + (2*b[4])/3 - b[10]/12 + b[11]/2)*
      HPL[{1}, 1 - u]^3*\[Zeta][2] + (3*b[1] - b[2] - 2*b[6] - b[10] - b[11])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][2] + 
     (-b[1] - (7*b[2])/2 - (3*b[3])/2 + (5*b[4])/2 - b[7] + b[8] - 
       (3*b[10])/2 - b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][2] + 
     (-b[2]/3 + b[4]/6 + (5*b[10])/12)*HPL[{1}, 1 - v]^3*\[Zeta][2] + 
     (-3*b[1] - b[2] - 2*b[5] + 2*b[6] - b[10] - b[11])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*\[Zeta][2] + (b[1] + (17*b[2])/3 + 6*b[3] - 
       (16*b[4])/3 - 2*b[5] + 2*b[6] + 4*b[7] - 4*b[8] + (5*b[10])/3 - b[11])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (-b[2] + 2*b[4] + b[10] - b[11])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      \[Zeta][2] + (b[1]/2 - 5*b[2] - (3*b[3])/2 + (5*b[4])/2 + b[5] - b[6] - 
       b[7] + b[8] - (3*b[10])/2 - b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      \[Zeta][2] + (-3*b[2] + 2*b[4] + b[10] - b[11])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*\[Zeta][2] + (b[2]/6 + b[4]/6 + (5*b[10])/12)*
      HPL[{1}, 1 - w]^3*\[Zeta][2] + ((29*b[2])/6 - (11*b[4])/3 - 2*b[5] - 
       (29*b[10])/12 + 3*b[11])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + ((8*b[2])/3 - (10*b[4])/3 - b[10]/3 - 4*b[11])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (2*b[4] + b[10] + 4*b[11])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + (-3*b[1] - (11*b[2])/3 - 2*b[3] + b[4]/3 + 2*b[5] - 
       2*b[6] - 2*b[7] + 2*b[8] - (2*b[10])/3 + 7*b[11])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + ((-5*b[2])/3 + (17*b[4])/6 + 
       (37*b[10])/12 - 2*b[11])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + ((10*b[2])/3 - (14*b[4])/3 + b[10]/3 - 4*b[11])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (b[1] + 10*b[2] - 2*b[3] - 5*b[4] - 2*b[6] - 2*b[7] + 2*b[8] - 2*b[10] - 
       b[11])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     ((2*b[2])/3 + (2*b[4])/3 + (5*b[10])/3 + 4*b[11])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + ((-43*b[2])/6 + (17*b[4])/6 + 
       (37*b[10])/12 - 2*b[11])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + ((7*b[2])/2 - 7*b[4] + b[10]/4 - 2*b[11])*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + (2*b[1] + 3*b[2] - (9*b[4])/2 - 
       (9*b[10])/4 + 2*b[11])*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (-2*b[1] + (19*b[2])/2 - (9*b[4])/2 - (9*b[10])/4 + 2*b[11])*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + ((-26*b[2])/3 + (28*b[4])/3 + 
       4*b[5] + (19*b[10])/3 - 4*b[11])*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + 
     ((-38*b[2])/3 + (22*b[4])/3 + (7*b[10])/3 - 2*b[11])*
      HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     ((-8*b[2])/3 + (22*b[4])/3 + (7*b[10])/3 - 2*b[11])*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     ((6*b[1])/5 - (6*b[2])/5 + (36*b[3])/5 - (24*b[4])/5 - (12*b[5])/5 + 
       (12*b[6])/5 + (24*b[7])/5 - (24*b[8])/5 + (12*b[10])/5 - (18*b[11])/5)*
      HPL[{1}, 1 - u]*\[Zeta][2]^2 + ((16*b[1])/5 + (44*b[2])/5 - 
       (24*b[4])/5 - (24*b[10])/5 + (12*b[11])/5)*HPL[{1}, 1 - v]*
      \[Zeta][2]^2 + ((-16*b[1])/5 + (4*b[2])/5 - (24*b[4])/5 - 
       (24*b[10])/5 + (12*b[11])/5)*HPL[{1}, 1 - w]*\[Zeta][2]^2 + 
     ((8*b[2])/3 - (10*b[4])/3 - b[5] - (7*b[10])/3 + b[11])*
      HPL[{1}, 1 - u]^2*\[Zeta][3] + (-6*b[2] + 4*b[4] + b[10] - 2*b[11])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][3] + 
     (-b[2]/3 + (8*b[4])/3 + (8*b[10])/3 - b[11])*HPL[{1}, 1 - v]^2*
      \[Zeta][3] + (-4*b[2] + 4*b[4] + 2*b[5] + b[10] - 2*b[11])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (2*b[2] - 4*b[4] - 2*b[10] + 2*b[11])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      \[Zeta][3] + ((-7*b[2])/3 + (8*b[4])/3 + (8*b[10])/3 - b[11])*
      HPL[{1}, 1 - w]^2*\[Zeta][3] + ((-16*b[2])/3 - (4*b[4])/3 - b[10]/3 - 
       4*b[11])*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     (2*b[1] + (2*b[2])/3 + (8*b[4])/3 + (14*b[10])/3)*HPL[{0, 1}, 1 - v]*
      \[Zeta][3] + (-2*b[1] + (2*b[2])/3 + (8*b[4])/3 + 4*b[5] + 
       (14*b[10])/3)*HPL[{0, 1}, 1 - w]*\[Zeta][3]
 
BuvwCoproductEntries[u] = (b[1]*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2)/4 + 
     (-b[1]/8 - b[2]/8 - b[3]/4 - b[7]/4 + b[8]/4 + b[11]/8)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3 + (-b[1]/2 + b[2]/2)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     ((-3*b[1])/4 - (5*b[2])/4 - b[3]/8 + b[4] - b[5]/4 + b[6]/4 - b[7]/4 + 
       b[8]/4 + b[10]/4 + b[11]/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w] + (-b[1]/2 + b[2]/6 - b[3]/3 + b[4]/2 - b[7]/3 + 
       b[8]/3 + b[11]/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w] + 
     (b[2]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w])/8 - 
     (b[1]*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2)/4 + 
     ((-7*b[1])/8 + (21*b[2])/8 - b[3]/8 + b[4] + b[5]/2 - b[6]/2 - b[7]/4 + 
       b[8]/4 + b[10]/4 + b[11]/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2 + ((-3*b[1])/4 - b[2]/2 - b[3] + b[4]/2 - b[7] + 
       b[8] + b[11]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2 + 
     (b[1]/24 + (5*b[2])/24 + b[3]/24 + b[7]/12 - b[8]/12 - b[11]/12)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2 + 
     (-b[1]/8 - b[2]/8 - b[3]/4 - b[7]/4 + b[8]/4 + b[11]/8)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3 + 
     ((-3*b[1])/4 - b[2]/4 - b[3]/3 + b[4]/2 - b[5]/6 + b[6]/6 - b[7]/3 + 
       b[8]/3 + b[11]/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3 + 
     (-b[1]/6 + (23*b[2])/24 + b[3]/24 + b[5]/6 - b[6]/6 + b[7]/12 - 
       b[8]/12 - b[11]/12)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3 + 
     (-b[1]/8 + b[2]/8)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4 + 
     (2*b[1] - (5*b[2])/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u] + (-b[1]/2 - b[3] - b[7] + b[8] + b[11]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     (-b[1]/4 - b[2]/4 - (2*b[3])/3 - b[7]/2 + b[8]/2 + b[11]/4)*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u] - b[1]*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (3*b[1] + 3*b[2] + 5*b[3] - b[4] + 4*b[7] - 4*b[8] + b[10] - 4*b[11])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (b[1]/4 + 4*b[2] - (3*b[3])/4 - (5*b[4])/4 + (3*b[5])/2 - (3*b[6])/2 - 
       b[7] + b[8] - b[9]/4 - (5*b[10])/4 + (7*b[11])/4)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (b[1] - 2*b[2] - b[3] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (-b[1] + 6*b[2] - (3*b[3])/4 - (5*b[4])/4 + b[5] - b[6] - b[7] + b[8] - 
       b[9]/4 - (5*b[10])/4 + (7*b[11])/4)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + ((-7*b[1])/12 + b[2]/4 - (2*b[3])/3 - b[7]/2 + 
       b[8]/2 + b[11]/4)*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     (-b[1]/2 + 2*b[2] - (3*b[4])/2 - b[5]/2 - b[7]/2 + b[8]/2 - b[9]/4)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     (-b[2] - (3*b[4])/2 - b[7]/2 + b[8]/2 - b[9]/4)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2 + (b[1]*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v])/2 + 
     (-b[1]/4 - b[2]/4 - (3*b[3])/2 - b[7]/2 + b[8]/2 + b[11]/4)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     (b[1] - b[2]/2 - b[3] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v] + 
     ((-3*b[1])/4 + b[2]/4 + b[3]/2 + b[7]/2 - b[8]/2 - b[11]/4)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (-b[1] - b[2] - 7*b[3] - (29*b[4])/2 - 5*b[7] + 5*b[8] - b[9] - 
       (9*b[10])/2 + b[11]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + ((3*b[1])/4 + 3*b[2] + (11*b[3])/4 + b[4]/4 + 
       2*b[7] - 2*b[8] + b[10]/4 - (5*b[11])/4)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (-b[2]/2 - b[3] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     (b[1] + (3*b[2])/2 - (9*b[3])/4 + b[4] + b[5] - b[6] - b[10]/2 + 
       (5*b[11])/4)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     (b[1]/4 + b[2]/4 + b[3]/2 + b[7]/2 - b[8]/2 - b[11]/4)*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v] + b[1]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + (-b[1]/2 + (9*b[2])/2 - b[3] - 3*b[4] - b[9]/2 + 
       b[11]/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (-b[1]/2 + b[2]/2 + 2*b[3] - 4*b[4] - b[5] + 2*b[7] - 2*b[8] - b[9]/2 - 
       b[11]/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (b[1]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2)/2 + 
     ((3*b[2])/2 - (9*b[4])/2 - b[7] + b[8] - b[9]/2)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]^2 + (-b[1]/4 + b[2]/4 + b[3]/2 - 2*b[4] - b[5]/2 - 
       b[9]/4 - b[11]/4)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 - 
     (b[1]*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w])/2 + 
     (b[1]/4 - b[2]/4 + b[3]/2 + b[7]/2 - b[8]/2 - b[11]/4)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-b[1]/2 - b[2] - b[3] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     (b[1]/4 + b[2]/4 + b[3]/2 + b[7]/2 - b[8]/2 - b[11]/4)*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - w] + ((-5*b[1])/4 - b[2]/4 - (3*b[3])/2 - b[7]/2 + 
       b[8]/2 + b[11]/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + ((-3*b[1])/2 + 17*b[2] - 7*b[3] - (29*b[4])/2 + 
       3*b[5] - 3*b[6] - 5*b[7] + 5*b[8] - b[9] - (9*b[10])/2 + b[11]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((-3*b[1])/2 + (47*b[2])/4 - (9*b[3])/4 + b[4] + (3*b[5])/2 - 
       (3*b[6])/2 - b[10]/2 + (5*b[11])/4)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + (-b[1]/2 - b[3] - b[7] + b[8] + b[11]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (2*b[1] + (11*b[3])/4 + b[4]/4 + b[5]/2 - b[6]/2 + 2*b[7] - 2*b[8] + 
       b[10]/4 - (5*b[11])/4)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w] - (5*b[2]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w])/6 - 
     b[1]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((3*b[1])/2 + (13*b[2])/2 + 2*b[3] - 4*b[4] + b[5] + 2*b[7] - 2*b[8] - 
       b[9]/2 - b[11]/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + (b[1]/2 - b[2]/2 - b[3] - 3*b[4] + b[5] - b[9]/2 + 
       b[11]/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     b[1]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (b[1]/2 + b[2]/2 + b[3] + 3*b[4] + b[7] - b[8] + b[10] - b[11]/2)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((5*b[1])/2 + (13*b[2])/2 + b[3] + 3*b[4] + 2*b[5] + b[7] - b[8] + 
       b[10] - b[11]/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + (b[1]/4 + (3*b[2])/4 + b[3]/2 - 2*b[4] - b[9]/4 - 
       b[11]/4)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     (-b[1] + 2*b[2] - (9*b[4])/2 - b[5] - b[7] + b[8] - b[9]/2)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2 + 
     (-6*b[2] - 2*b[4] + 4*b[7] - 4*b[8] + 2*b[10])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((3*b[2])/2 + b[4]/2 - b[7] + 2*b[8] - b[10]/2)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - u] + (2*b[1] - 4*b[2] - 2*b[4] + 4*b[7] - 4*b[8] + 
       2*b[10])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (-b[1] + 3*b[2] - 3*b[3] + b[4] - 4*b[7] + 4*b[8] - b[10] + 4*b[11])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (-b[1]/2 + b[2] + b[4]/2 - b[7] + 2*b[8] - b[10]/2)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u] + (-3*b[1] - b[2] - b[3] - 4*b[7] + 8*b[8] - 
       b[10])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (b[1] + b[2] + b[3] + 4*b[7] - 4*b[8] + b[10])*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - v] + (3*b[1] + 2*b[2] - 8*b[3] + 3*b[4] + 2*b[5] - 
       2*b[7] + 2*b[8] - b[10] + 2*b[11])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] - (b[3]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v])/
      2 - b[2]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     ((-3*b[2])/2 - b[3]/2)*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w] + 
     (3*b[2] - b[3] - 4*b[7] + 8*b[8] - b[10])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (-5*b[1] + 13*b[2] - 8*b[3] + 3*b[4] - 2*b[7] + 2*b[8] - b[10] + 
       2*b[11])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (-3*b[2] + b[3] + 4*b[7] - 4*b[8] + b[10])*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w] + 2*b[2]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (b[1] - b[2]/2 + 2*b[3] + 2*b[7] - 2*b[8] - 
       b[11])*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     2*b[1]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (-b[1] - 4*b[2] - b[3] - 3*b[4] - b[10] + 2*b[11])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((3*b[1])/2 - (3*b[2])/2 + 2*b[3] + 2*b[7] - 2*b[8] - b[11])*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] - 2*b[1]*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - v] + (2*b[1] + b[2] + 3*b[3] + 2*b[7] - 2*b[8] - 
       b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (-3*b[1] - b[2] - 2*b[3] + 4*b[4] - 2*b[7] + 2*b[8] + b[10] + b[11])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (-5*b[2] - 3*b[3] - 4*b[4] - b[10] + b[11])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (-2*b[1] - b[2] - (3*b[3])/2 - b[4]/2 - b[5] + b[6] - 2*b[7] + 2*b[8] + 
       b[11])*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     2*b[1]*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w] + 
     (-b[1] - 6*b[2] - 2*b[3] + 4*b[4] - 2*b[7] + 2*b[8] + b[10] + b[11])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (-b[1] + b[2]/2 - (3*b[3])/2 - b[4]/2 - 2*b[7] + 2*b[8] + b[11])*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w] + 
     (b[1] - 2*b[2] + 3*b[3] + 2*b[7] - 2*b[8] - b[11])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (-2*b[1] - 2*b[2] - 3*b[3] - 4*b[4] - b[10] + b[11])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + b[2]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w] + (4*b[1] - 4*b[3])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u] - 4*b[3]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u] - 2*b[1]*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v] + (4*b[1] - 8*b[3])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v] + (-b[1] - b[2] - 2*b[3] - 2*b[7] + 2*b[8] + 
       b[11])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-b[1] - 9*b[2] - 2*b[3] - 2*b[7] + 2*b[8] + b[11])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w] + (4*b[1] - 8*b[3])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + (2*b[1] - 2*b[2] + 8*b[4] + 2*b[5] - 
       2*b[7] + 2*b[8] + b[9] - 2*b[10])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u] + (-2*b[1] + 8*b[2] + 8*b[4] - 2*b[7] + 
       2*b[8] + b[9] - 2*b[10])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-2*b[1] - 8*b[2] - 2*b[3] + 18*b[4] - 4*b[7] + 4*b[8] + 2*b[9] - 
       2*b[10])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-2*b[1] + 8*b[4] - 2*b[5] - 2*b[7] + 2*b[8] + b[9])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + (-2*b[2] + 8*b[4] - 2*b[7] + 2*b[8] + b[9])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (4*b[1] - 2*b[2] - 2*b[3] + 18*b[4] + 4*b[5] - 4*b[7] + 4*b[8] + 
       2*b[9] - 2*b[10])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w] - 
     3*b[2]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     3*b[1]*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((3*b[1])/2 + (3*b[2])/2 + 3*b[3] + 3*b[4] + 3*b[7] - 3*b[8] - 
       (3*b[11])/2)*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((11*b[1])/2 + (3*b[2])/2 + 3*b[3] + 3*b[4] + 3*b[7] - 3*b[8] - 
       (3*b[11])/2)*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w] - 
     3*b[2]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] - 
     b[1]*HPL[{1}, 1 - u]*Omega2[u, v, w] + 
     (b[1]/2 + b[2]/2 + b[3] + b[7] - b[8] - b[11]/2)*HPL[{1}, 1 - v]*
      Omega2[u, v, w] + (-b[1]/2 - b[2]/2 - b[3] - b[7] + b[8] + b[11]/2)*
      HPL[{1}, 1 - w]*Omega2[u, v, w] - b[1]*HPL[{1}, 1 - u]*
      Omega2[v, w, u] + (-b[1]/2 - b[2]/2 - b[3] - b[7] + b[8] + b[11]/2)*
      HPL[{1}, 1 - v]*Omega2[v, w, u] + (-b[1]/2 - b[2]/2 - b[3] - b[7] + 
       b[8] + b[11]/2)*HPL[{1}, 1 - w]*Omega2[v, w, u] + 
     b[1]*HPL[{1}, 1 - u]*Omega2[w, u, v] + 
     (-b[1]/2 - b[2]/2 - b[3] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - v]*
      Omega2[w, u, v] + (b[1]/2 + b[2]/2 + b[3] + b[7] - b[8] - b[11]/2)*
      HPL[{1}, 1 - w]*Omega2[w, u, v] - 3*b[2]*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*\[Zeta][2] + (2*b[2] + 2*b[3] + 2*b[7] - 2*b[8] - 
       b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][2] + 
     2*b[1]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (-6*b[1] - 6*b[2] - 2*b[3] + 2*b[4] - 4*b[5] + 4*b[6] - 2*b[7] + 
       2*b[8] + 2*b[10] - b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*\[Zeta][2] + (-b[1]/2 - b[2]/2 - b[7] + b[8] + 
       (3*b[11])/2)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (b[1] + b[2] + 2*b[3] + 2*b[7] - 2*b[8] - b[11])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*\[Zeta][2] + ((-5*b[1])/2 + b[2]/2 - 4*b[5] + 
       4*b[6] - b[7] + b[8] + (3*b[11])/2)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      \[Zeta][2] + (4*b[1] - 2*b[2] - 2*b[4] - 2*b[7] + 2*b[8] - 2*b[10])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (2*b[1] + 8*b[2] - 2*b[4] + 2*b[5] - 2*b[7] + 2*b[8] - 2*b[10])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (8*b[1] + 2*b[2] + 2*b[3] + 4*b[4] + 4*b[5] - 4*b[6] - 2*b[8] - b[11])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (8*b[2] - 2*b[3] + 4*b[4] + 2*b[5] - 4*b[7] + 4*b[8] - 2*b[10])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (-4*b[1] + b[2] - 3*b[3] - 5*b[4] - 2*b[5] + 2*b[6] - 4*b[7] + 4*b[8] - 
       b[10] + 2*b[11])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (-10*b[1] - 4*b[2] + 2*b[3] + 4*b[4] - 2*b[8] - b[11])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + (3*b[1] + 4*b[2] - 3*b[3] - 5*b[4] - 
       4*b[7] + 4*b[8] - b[10] + 2*b[11])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + (-2*b[3] + 4*b[4] - 4*b[7] + 4*b[8] - 2*b[10])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (-2*b[4] - 4*b[6] - 2*b[7] + 2*b[8])*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     (-2*b[1] - 2*b[4] - 2*b[7] + 2*b[8])*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     (-2*b[1] - 16*b[2] - 8*b[4] - 4*b[5] + 2*b[10] + 4*b[11])*
      HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     (-6*b[1] - 2*b[2] - 8*b[4] - 4*b[5] + 4*b[6] + 2*b[10] + 4*b[11])*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] - 
     (12*b[1]*HPL[{1}, 1 - u]*\[Zeta][2]^2)/5 + 
     ((-6*b[1])/5 - (6*b[2])/5 - (12*b[3])/5 - (12*b[7])/5 + (12*b[8])/5 + 
       (6*b[11])/5)*HPL[{1}, 1 - v]*\[Zeta][2]^2 + 
     ((-6*b[1])/5 - (6*b[2])/5 - (12*b[3])/5 - (12*b[7])/5 + (12*b[8])/5 + 
       (6*b[11])/5)*HPL[{1}, 1 - w]*\[Zeta][2]^2 + 
     (2*b[1] - 3*b[2])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][3] + 
     ((5*b[2])/2 - b[3] - (7*b[4])/2 - 2*b[7] + 2*b[8] - (3*b[10])/2)*
      HPL[{1}, 1 - v]^2*\[Zeta][3] - 4*b[4]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      \[Zeta][3] + (-b[3] - (7*b[4])/2 - 2*b[7] + 2*b[8] - (3*b[10])/2)*
      HPL[{1}, 1 - w]^2*\[Zeta][3] + (-b[2] + 7*b[4] - 4*b[7] + 4*b[8] + 
       b[10])*HPL[{0, 1}, 1 - v]*\[Zeta][3] + 
     (-2*b[2] + 7*b[4] - 2*b[6] - 4*b[7] + 4*b[8] + b[10])*HPL[{0, 1}, 1 - w]*
      \[Zeta][3]
 
BuvwCoproductEntries[1 - v] = -(b[3]*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v])/24 + 
     ((5*b[1])/12 + (5*b[3])/24 + (7*b[4])/48 + b[5]/12)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]^2 + ((-19*b[1])/12 - (9*b[2])/8 - (3*b[3])/8 + 
       (13*b[4])/24 - (5*b[5])/24 + (3*b[6])/8 - b[7]/2 + b[8]/2 + b[10]/4 - 
       b[11]/8)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3 + 
     ((19*b[1])/12 + (5*b[2])/4 + 5*b[3] + (35*b[4])/6 - b[5]/6 + 4*b[7] - 
       4*b[8] + b[9]/2 + 2*b[10] - (3*b[11])/4)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w] + 
     (-b[1] - (3*b[2])/4 - (7*b[3])/4 + (5*b[4])/4 - (5*b[7])/2 + 
       (5*b[8])/2 + b[10]/4 + b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w] + (5*b[2]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w])/6 + 
     (-b[1]/4 + b[3]/8 - (3*b[4])/16 - b[5]/4 + b[6]/4)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]^2 + ((-7*b[1])/24 + (5*b[2])/8 - (3*b[3])/4 - b[4]/6 + 
       b[5]/12 - b[6]/4 - b[7]/2 + b[8]/2 - b[10]/4 + (3*b[11])/8)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2 + 
     (b[1]/12 - (3*b[2])/4 + (15*b[3])/4 - (5*b[4])/12 - (2*b[5])/3 + 
       b[6]/2 + (3*b[7])/2 - (3*b[8])/2 + b[10]/2 - 2*b[11])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2 + 
     ((5*b[1])/12 + (3*b[2])/8 - b[3]/8 - b[4]/3 + (7*b[5])/24 - b[6]/8 + 
       (3*b[11])/8)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2 + 
     ((3*b[1])/8 - b[3]/8 + b[4]/16 + (3*b[5])/8 - b[6]/8)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^3 + ((-7*b[1])/24 + b[3]/8 - (17*b[4])/48 - 
       (7*b[5])/24 + (3*b[6])/8)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3 + 
     (b[1]/3 - b[3]/6 + b[4]/12 + b[5]/3 - b[6]/2)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - u] + (-b[1]/2 + b[3]/2 - b[4] + b[7] - b[8]/2 - b[9]/4)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u] + 
     ((11*b[1])/18 - (21*b[2])/2 + (13*b[3])/12 + (389*b[4])/72 - 
       (7*b[5])/18 + b[6] - b[7] + b[8] + b[9]/2 + (3*b[10])/2 - (3*b[11])/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     (-b[1]/6 - b[2] + b[3]/2 + (5*b[4])/6 - (5*b[5])/12 + (3*b[6])/4 - 
       b[7]/2 + b[8]/2 + (3*b[10])/4 - (3*b[11])/4)*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - u] - (b[4]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u])/2 + ((-5*b[1])/6 + 2*b[2] - b[3]/2 + (11*b[4])/3 - 
       b[5]/3 - b[6] - b[7] + b[8] + b[9]/2 - b[10]/2 + b[11]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (b[1]/6 - (9*b[2])/2 + b[3] + b[4]/6 - b[5]/3 + b[7] - b[8])*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((5*b[1])/6 - (7*b[3])/12 - b[4]/24 + (5*b[5])/6 - b[6]/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     ((-7*b[1])/12 + (5*b[2])/4 - (3*b[3])/2 - b[4]/3 + b[5]/6 - b[6]/2 - 
       b[7] + b[8] - b[10]/2 + (3*b[11])/4)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + ((3*b[1])/4 - b[3]/4 + b[4]/8 + (3*b[5])/4 - 
       b[6]/4)*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     ((-5*b[1])/6 + b[3]/2 - (5*b[4])/6 - (5*b[5])/6 + b[6] + b[8]/2 - 
       b[9]/4)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2 + 
     ((-11*b[1])/2 - b[2] + (5*b[3])/2 - (21*b[4])/4 - 5*b[5] + (7*b[6])/2 + 
       (5*b[7])/2 - (5*b[8])/2 - b[9]/4 + 2*b[10] - (7*b[11])/4)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     (b[1]/3 + (13*b[4])/12 + b[5]/3 - b[6]/2 + b[7]/2 - b[8]/2 + b[9]/4)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     (b[1]/6 - (5*b[3])/12 + (7*b[4])/24 + b[5]/6)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - v] + ((5*b[1])/9 - (5*b[2])/4 + (11*b[3])/12 - 
       (49*b[4])/36 - (7*b[5])/36 + (3*b[6])/4 + 3*b[7] - (9*b[8])/2 - 
       b[9]/4 + b[10] - b[11]/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v] + (-b[1] - (17*b[2])/2 - b[3] + 12*b[4] - 2*b[7] + 
       2*b[8] + b[9] + b[10]/2 - (3*b[11])/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v] + 
     (-b[1]/6 + (5*b[2])/4 + b[3]/4 - b[4]/6 - b[5]/6 - b[6]/2 + b[7]/2 - 
       b[8]/2 - b[10]/4)*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v] + 
     (-b[1]/3 - (5*b[4])/6 - b[5]/3)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + ((-7*b[1])/3 + (5*b[2])/2 + (13*b[3])/2 - b[4]/3 - 
       b[5]/3 - b[6] + 2*b[7] - 2*b[8] + b[9]/2 - b[10]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     ((3*b[1])/2 - (3*b[2])/2 + (3*b[3])/2 - (5*b[4])/2 + b[7] - b[8] - 
       b[10] + b[11])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     ((2*b[1])/3 + b[3]/2 + (7*b[4])/6 + (2*b[5])/3 - b[6])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((-23*b[1])/18 - (13*b[2])/4 + (7*b[3])/12 - (23*b[4])/18 - 
       (55*b[5])/36 + (25*b[6])/12 + b[10] - (3*b[11])/4)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((-7*b[1])/12 + b[3]/4 - (17*b[4])/24 - (7*b[5])/12 + (3*b[6])/4)*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     ((14*b[1])/9 - (5*b[3])/6 - (121*b[4])/36 + (14*b[5])/9 - 3*b[6] + 
       2*b[7] - b[8] - b[9]/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((-29*b[1])/9 + (46*b[3])/3 - (181*b[4])/18 - 
       (31*b[5])/18 + (5*b[6])/2 + 13*b[7] - 13*b[8] - b[9] + (11*b[10])/2 - 
       (3*b[11])/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((4*b[1])/3 + (23*b[4])/6 + (4*b[5])/3 - b[6] - b[7] + b[8] + b[9]/2)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (b[1]/6 + b[3]/2 - (19*b[4])/12 + b[5]/6 - b[6]/2 + b[8]/2 - b[9]/4)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + 
     (-b[1]/3 - (5*b[2])/4 + b[3]/4 - b[4]/12 - b[5]/3 + b[6] - b[7]/2 + 
       b[8]/2 + b[10]/4)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2 + 
     ((-4*b[1])/3 + b[3] + (23*b[4])/12 - (4*b[5])/3 + b[6]/2 + b[7]/2 - 
       b[8]/2 + b[9]/4)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     (-b[1]/2 + b[3]/12 - (3*b[4])/8 - b[5]/2 + b[6]/2)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - w] + ((-13*b[1])/12 + (5*b[2])/4 - (3*b[3])/2 - 
       (4*b[4])/3 + b[5]/6 - b[6]/2 - 2*b[7] + (3*b[8])/2 - b[9]/4 - 
       b[10]/2 + (3*b[11])/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + (-b[1]/3 - (3*b[2])/2 + b[3]/2 - (4*b[4])/3 - 
       b[5]/3 - b[10]/2 - b[11]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - w] + ((4*b[1])/3 + (3*b[2])/2 + b[3]/2 + b[4]/12 + 
       (7*b[5])/12 - b[6]/4 + b[7]/2 - b[8]/2 + b[10]/4 - b[11]/4)*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w] + 
     (b[1]/12 + b[3]/12 - (13*b[4])/24 + b[5]/12 + (5*b[6])/12)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((-11*b[1])/6 - 4*b[2] - b[3]/2 - (7*b[4])/3 - (4*b[5])/3 - b[6] - 
       (3*b[10])/2 + b[11]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + ((61*b[1])/36 - (15*b[2])/2 + (17*b[3])/12 - 
       (31*b[4])/72 + (7*b[5])/36 + (5*b[6])/12 + b[7] - b[8] + b[10] - 
       b[11])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (b[1] - b[3]/2 + b[4]/2 + b[5] - b[6])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w] + (-2*b[1] + b[3]/2 - b[4] - 2*b[5] + 2*b[6])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (-b[1]/6 + (7*b[4])/12 - b[5]/6 - b[6]/2)*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - w] + ((-4*b[1])/3 + (11*b[3])/6 - (43*b[4])/12 - 
       (4*b[5])/3 + (2*b[6])/3 - b[8] - b[9]/2)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-7*b[1])/6 + (11*b[2])/2 - 3*b[3] - (13*b[4])/6 + b[5]/3 - 2*b[6] - 
       3*b[7] + 3*b[8] - b[9]/2 - b[10] + (3*b[11])/2)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((13*b[1])/6 - (17*b[3])/6 + (65*b[4])/12 + (13*b[5])/6 - (13*b[6])/6 - 
       b[7] + b[8] + b[9]/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + (b[1]/3 - b[3] - (13*b[4])/6 + b[5]/3 - b[6] - 
       2*b[7] + b[8] - b[9]/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((-44*b[1])/9 - b[2] + (20*b[3])/3 - (44*b[4])/9 - 
       (43*b[5])/18 + (7*b[6])/6 + b[7] - b[8] + (5*b[10])/2 - (13*b[11])/2)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-77*b[1])/18 + (23*b[3])/6 + (71*b[4])/36 - (77*b[5])/18 + 
       (11*b[6])/6 + b[7] - b[8] + b[9]/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((-7*b[1])/6 + (3*b[3])/2 - (29*b[4])/12 - 
       (7*b[5])/6 + b[6]/2 + b[8]/2 - b[9]/4)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2 + (-b[1]/4 - (49*b[2])/4 + (7*b[3])/4 - 4*b[4] - 
       b[5] - b[7]/2 + b[8]/2 - b[10]/4 - (3*b[11])/2)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2 + (b[1]/6 + (5*b[4])/3 + b[5]/6 + b[6] + b[7]/2 - 
       b[8]/2 + b[9]/4)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2 + 
     ((10*b[1])/3 - b[3] + (4*b[4])/3 + (10*b[5])/3 - 3*b[6])*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((5*b[1])/3 - 5*b[2] + 5*b[3] + (11*b[4])/3 - (4*b[5])/3 + 4*b[7] - 
       4*b[8] + b[10] - 3*b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u] + ((5*b[1])/18 - 11*b[2] + (19*b[3])/12 + 
       (221*b[4])/72 - (13*b[5])/18 + b[6] + 3*b[10] - 3*b[11])*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((-2*b[1])/3 - b[3] - (2*b[4])/3 - (2*b[5])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (-b[1]/3 + 7*b[2] - 2*b[3] - (7*b[4])/3 + (2*b[5])/3 - 2*b[6] - b[10] + 
       2*b[11])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (b[1]/6 + (5*b[3])/12 - (17*b[4])/24 + b[5]/6 - b[6]/6)*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((7*b[1])/3 + 2*b[2] - (23*b[4])/3 + (4*b[5])/3 - 2*b[6] - b[10] + 
       b[11])*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     ((38*b[1])/9 + 8*b[2] + (7*b[3])/6 + (29*b[4])/36 + (11*b[5])/9 - 
       2*b[6] + 3*b[11])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (-2*b[2] - (7*b[3])/6 + (17*b[4])/4 + b[5] - b[6]/3 + b[10] - b[11])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((-25*b[1])/36 + (5*b[3])/12 - (13*b[4])/36 - (25*b[5])/36 + (5*b[6])/4)*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v] + 
     (b[1] + 4*b[2] + 6*b[3] - 5*b[4] + 4*b[5] - 2*b[6] + 4*b[7] - 4*b[8] - 
       b[10] + b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((-2*b[1])/3 + 5*b[2] + b[3] - (2*b[4])/3 - (2*b[5])/3 - 2*b[6] + 
       2*b[7] - 2*b[8] - b[10])*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((2*b[1])/3 - 2*b[3] + (2*b[4])/3 + (2*b[5])/3 - 2*b[6])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (-7*b[1] - 4*b[2] + 12*b[4] - 2*b[5] - 4*b[7] + 4*b[8] + b[10] - b[11])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (-b[1]/36 - (5*b[3])/12 + (2*b[4])/9 - b[5]/36 + (7*b[6])/12)*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((23*b[1])/18 - (7*b[3])/6 - b[4]/18 - (49*b[5])/18 + b[6]/2 - 2*b[7])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((-2*b[1])/3 + b[4]/3 - (2*b[5])/3 - 2*b[6])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + ((119*b[1])/18 - (17*b[3])/6 + (10*b[4])/9 + 
       (47*b[5])/18 - (5*b[6])/6 + 2*b[7])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + ((5*b[1])/12 - (5*b[3])/12 + (7*b[4])/24 + 
       (5*b[5])/12 + (5*b[6])/12 + 2*b[8])*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - w] + ((-4*b[1])/3 + 4*b[2] - 3*b[3] - b[4]/3 + 
       (2*b[5])/3 - 2*b[6] - 2*b[7] - b[10] + b[11])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     ((-41*b[1])/36 - 6*b[2] + (53*b[3])/12 + (161*b[4])/72 - (41*b[5])/36 + 
       (17*b[6])/12 + 2*b[7] - 2*b[8] + b[9]/2 + b[10] - b[11])*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-2*b[1])/3 + b[3] - (5*b[4])/3 - (2*b[5])/3 + 2*b[7] - 4*b[8])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((11*b[1])/3 - 6*b[2] + 3*b[3] + (11*b[4])/3 + (2*b[5])/3 + 2*b[7] - 
       2*b[8] + 2*b[10] - 3*b[11])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + ((-2*b[1])/3 - b[3] + (10*b[4])/3 - 
       (2*b[5])/3 - 2*b[6] - 2*b[7] + 2*b[8])*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w] + ((5*b[1])/2 + 2*b[2] + (7*b[3])/6 - 
       (7*b[4])/4 + (3*b[5])/2 - (7*b[6])/6 + 2*b[7] - b[10] + b[11])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     ((-29*b[1])/18 - b[3]/6 + (41*b[4])/36 - (29*b[5])/18 + (5*b[6])/6 - 
       2*b[7] - 3*b[11])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     ((-5*b[1])/3 - 2*b[2] - 4*b[3] + (13*b[4])/3 - (2*b[5])/3 - 2*b[6] + 
       b[10] - b[11])*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     b[3]*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((10*b[1])/3 + 2*b[2] + b[3] + (7*b[4])/3 + (4*b[5])/3 - 2*b[6] + 
       2*b[7] - 4*b[8] + b[9] - b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + ((58*b[1])/9 + 8*b[2] + (31*b[3])/12 - 
       (199*b[4])/72 + (107*b[5])/18 - 7*b[6] + 2*b[7] - 2*b[8] - b[10] + 
       (7*b[11])/2)*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((-4*b[1])/3 - b[3] + (5*b[4])/3 - (4*b[5])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((2*b[1])/3 - 5*b[2] - b[3] - (10*b[4])/3 + (2*b[5])/3 + 2*b[6] - 
       2*b[7] + 2*b[8] - b[9] + b[10])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + ((-13*b[1])/6 + (17*b[3])/12 - (13*b[4])/24 - 
       (13*b[5])/6 + (5*b[6])/6)*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((2*b[1])/3 - 3*b[3] + (13*b[4])/6 + (2*b[5])/3 - 3*b[6] - 2*b[7] + 
       b[9])*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     ((-58*b[1])/9 + (13*b[3])/6 + (95*b[4])/36 - (58*b[5])/9 + 7*b[6] - 
       2*b[7])*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (4*b[1] - (25*b[3])/6 + (19*b[4])/4 + 4*b[5] - (4*b[6])/3 + 2*b[7] + 
       b[9])*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (-b[1]/36 - (7*b[3])/12 + (137*b[4])/36 - b[5]/36 - (3*b[6])/4 - 
       2*b[7] + b[8] + b[9]/2)*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v] + 
     (2*b[1] + 17*b[2] + 2*b[3] - 26*b[4] + 4*b[7] - 4*b[8] - 2*b[9] - 
       b[10] + 3*b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + ((2*b[1])/3 - (31*b[4])/3 + (2*b[5])/3 + 
       2*b[6] + 2*b[7] - 2*b[8] - b[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (-b[1] + 3*b[2] - 5*b[3] + 8*b[4] + 2*b[5] - 
       2*b[6] - 2*b[7] + 2*b[8] + 2*b[10] - 2*b[11])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((131*b[1])/36 - (17*b[3])/12 + (61*b[4])/18 + (131*b[5])/36 - 
       (53*b[6])/12)*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     ((89*b[1])/18 - 7*b[2] - (43*b[3])/6 + (91*b[4])/9 + (125*b[5])/18 - 
       (5*b[6])/2 - 2*b[7] + 2*b[8] + b[9] - b[10])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + ((5*b[1])/3 - 2*b[3] + (7*b[4])/6 + 
       (5*b[5])/3 - 3*b[6])*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     ((41*b[1])/18 - 3*b[2] + (7*b[3])/6 - (13*b[4])/18 + (41*b[5])/18 - 
       (11*b[6])/6 - b[10] + 2*b[11])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + ((13*b[1])/12 - (5*b[3])/12 + (35*b[4])/24 + 
       (13*b[5])/12 - (19*b[6])/12)*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w] + 
     ((-4*b[1])/3 - 5*b[2] - b[3] - (4*b[4])/3 - (4*b[5])/3 + 2*b[6] - 
       2*b[7] + 2*b[8] + b[10])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + ((-53*b[1])/36 - 4*b[2] - (13*b[3])/12 + 
       (245*b[4])/72 - (17*b[5])/36 - (7*b[6])/12 - 2*b[7] + 2*b[8] + b[10] - 
       (7*b[11])/2)*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w] + 
     ((2*b[1])/3 - b[3] - (4*b[4])/3 + (2*b[5])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((7*b[1])/3 - 2*b[2] + 2*b[3] + (13*b[4])/3 + (4*b[5])/3 - 2*b[6] + 
       2*b[7] - 2*b[8] + b[10] - 2*b[11])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((-3*b[1])/2 + (25*b[3])/6 - (37*b[4])/4 - 
       (3*b[5])/2 + (23*b[6])/6 - b[9])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - w] + ((157*b[1])/18 - (25*b[3])/6 - (37*b[4])/36 + 
       (157*b[5])/18 - (37*b[6])/6)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + ((11*b[1])/3 - b[3] - (41*b[4])/6 + 
       (11*b[5])/3 - 7*b[6] - b[9])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((4*b[1])/3 + (25*b[4])/3 + (4*b[5])/3 - 
       2*b[6])*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((10*b[1])/3 + 2*b[2] + 2*b[3] - (5*b[4])/3 + (4*b[5])/3 - 2*b[6] + 
       4*b[7] - 4*b[8] - b[11])*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((-4*b[1])/3 - (22*b[4])/3 - (4*b[5])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u] + (-4*b[3] - 2*b[4])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v] + ((-2*b[1])/3 + 5*b[2] + b[3] - (2*b[4])/3 - 
       (2*b[5])/3 - 2*b[6] + 2*b[7] - 2*b[8] - b[10])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v] + (2*b[1] + 2*b[3] + 3*b[4] + 2*b[5] - 2*b[6])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((8*b[1])/3 - 6*b[3] - b[4]/3 + (8*b[5])/3 - 2*b[6])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w] + ((-5*b[1])/3 - 2*b[2] + 3*b[3] + 
       (7*b[4])/3 - (8*b[5])/3 + 2*b[6] + 2*b[7] - 2*b[8] + b[10] - 2*b[11])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w] + 
     ((-2*b[1])/3 + 4*b[3] + (7*b[4])/3 - (2*b[5])/3 - 2*b[6])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (-2*b[1] + b[4] - 2*b[5] - 2*b[6] - 2*b[8] + b[9])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u] + (6*b[1] - 6*b[3] + 2*b[4] + 6*b[5] - 4*b[6])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((-16*b[1])/3 + 4*b[3] - (13*b[4])/3 - (16*b[5])/3 + 6*b[6] - 2*b[7] + 
       2*b[8] - b[9])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((-26*b[1])/3 + 4*b[3] + (25*b[4])/3 - (26*b[5])/3 + 6*b[6] - 4*b[7] + 
       2*b[8] + b[9])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (2*b[1] - 2*b[3] + b[4] + 2*b[5] - 2*b[6])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v] + ((34*b[1])/3 - 8*b[3] - (20*b[4])/3 + 
       (34*b[5])/3 - 4*b[6] + 2*b[7] - 2*b[8] - b[9])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + ((26*b[1])/3 - 8*b[3] + (32*b[4])/3 + 
       (26*b[5])/3 - 4*b[6] + 2*b[8] + b[9])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w] + (-4*b[1] + 4*b[3] - 3*b[4] - 4*b[5] + 
       6*b[6])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (2*b[3] - 11*b[4] - 2*b[6] + 2*b[7] - 2*b[8] - b[9])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + (-2*b[1] - 4*b[3] - b[4]/2 - 2*b[5] + 
       3*b[6])*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-7*b[1] - 3*b[2] + 2*b[4] - 4*b[5] + 6*b[6] - 6*b[7] + 6*b[8] + 
       (3*b[11])/2)*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (4*b[1] + 4*b[3] - 2*b[4] + 4*b[5])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u] + 6*b[4]*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v] + (b[1] - (15*b[2])/2 - (3*b[3])/2 + b[4] + 
       b[5] + 3*b[6] - 3*b[7] + 3*b[8] + (3*b[10])/2)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v] + (-6*b[1] + 6*b[3] - 9*b[4] - 6*b[5] + 
       6*b[6])*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-8*b[1] + 6*b[3] + b[4] - 8*b[5] + 6*b[6])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w] + ((7*b[1])/2 + 3*b[2] - (9*b[3])/2 - 
       (5*b[4])/2 + 5*b[5] - 3*b[6] - 3*b[7] + 3*b[8] - (3*b[10])/2 + 
       3*b[11])*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (b[1] - (7*b[4])/2 + b[5] + 3*b[6])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w] + ((-2*b[1])/3 + b[4]/3 - (2*b[5])/3 - 2*b[6])*
      HPL[{0, 0, 0, 0, 1}, 1 - u] + ((-2*b[1])/3 + b[4]/3 - (2*b[5])/3 - 
       2*b[6])*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     ((-2*b[1])/3 + b[4]/3 - (2*b[5])/3 - 2*b[6])*HPL[{0, 0, 0, 0, 1}, 
       1 - w] + ((-44*b[1])/3 - 12*b[2] + (91*b[4])/3 - (26*b[5])/3 + 
       10*b[6] + 6*b[10] - 6*b[11])*HPL[{0, 0, 0, 1, 1}, 1 - u] + 
     ((10*b[1])/3 - (5*b[4])/3 + (10*b[5])/3 + 10*b[6])*
      HPL[{0, 0, 0, 1, 1}, 1 - v] + ((28*b[1])/3 + 12*b[2] + 16*b[3] - 
       (77*b[4])/3 + (10*b[5])/3 + 10*b[6] - 6*b[10] + 6*b[11])*
      HPL[{0, 0, 0, 1, 1}, 1 - w] + (-5*b[1] - 4*b[2] + 15*b[4] - 3*b[5] + 
       6*b[6] + 2*b[10] - 2*b[11])*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     (b[1] + b[3] - 2*b[4] + b[5] + 6*b[6] + b[7])*HPL[{0, 0, 1, 0, 1}, 
       1 - v] + (4*b[1] + 4*b[2] + 8*b[3] - 10*b[4] + 2*b[5] + 6*b[6] - 
       2*b[10] + 2*b[11])*HPL[{0, 0, 1, 0, 1}, 1 - w] + 
     (-4*b[1] + 18*b[3] - 13*b[4] - 4*b[5] + 24*b[6] + 12*b[7] - 6*b[9])*
      HPL[{0, 0, 1, 1, 1}, 1 - u] + (-10*b[1] + 12*b[3] - 7*b[4] - 10*b[5] + 
       18*b[6])*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     (-22*b[1] + 6*b[3] + 41*b[4] - 22*b[5] + 42*b[6] + 6*b[9])*
      HPL[{0, 0, 1, 1, 1}, 1 - w] + ((-8*b[1])/3 + 6*b[3] - (25*b[4])/6 - 
       (8*b[5])/3 + 7*b[6] + 4*b[7] - 2*b[9])*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     ((-11*b[1])/3 + 4*b[3] - (13*b[4])/6 - (11*b[5])/3 + 5*b[6])*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + ((-23*b[1])/3 + 2*b[3] + (77*b[4])/6 - 
       (23*b[5])/3 + 13*b[6] + 2*b[9])*HPL[{0, 1, 0, 1, 1}, 1 - w] + 
     8*b[3]*HPL[{0, 1, 1, 1, 1}, 1 - u] + 
     ((4*b[1])/3 - b[3] + (5*b[4])/6 + (4*b[5])/3 - b[6])*M1[u, v, w] + 
     (-b[1]/3 + b[3] - b[4]/3 - b[5]/3)*M1[v, u, w] + 
     ((2*b[1])/3 - b[3] + b[4]/6 + (2*b[5])/3 - b[6])*M1[v, w, u] + 
     (b[1] - b[3] + b[4]/2 + b[5] - b[6])*M1[w, u, v] + 
     ((-2*b[1])/3 + b[4]/3 - (2*b[5])/3 - b[7])*M1[w, v, u] + 
     (b[1]/3 - b[3]/2 - b[4]/6 + b[5]/3)*Nt[u, v, w] + 
     ((-2*b[1])/3 + b[3] - (2*b[4])/3 - (2*b[5])/3)*HPL[{1}, 1 - u]*
      Omega2[u, v, w] + ((13*b[1])/6 + (9*b[2])/2 - (7*b[4])/3 + (5*b[5])/3 - 
       3*b[6] + 2*b[7] - 2*b[8] - b[10] + b[11]/2)*HPL[{1}, 1 - v]*
      Omega2[u, v, w] + ((2*b[1])/3 - b[3] + (2*b[4])/3 + (2*b[5])/3)*
      HPL[{1}, 1 - w]*Omega2[u, v, w] + ((2*b[1])/3 - b[3] - (4*b[4])/3 + 
       (2*b[5])/3)*HPL[{1}, 1 - u]*Omega2[v, w, u] + 
     ((-17*b[1])/6 + b[2]/2 + b[3] + (5*b[4])/3 - (7*b[5])/3 + b[6] - 
       b[11]/2)*HPL[{1}, 1 - v]*Omega2[v, w, u] + 
     ((4*b[1])/3 - b[3] + (7*b[4])/3 + (4*b[5])/3 - 2*b[6])*HPL[{1}, 1 - w]*
      Omega2[v, w, u] + (2*b[1] - b[3] + b[4] + 2*b[5] - 2*b[6])*
      HPL[{1}, 1 - u]*Omega2[w, u, v] + ((7*b[1])/6 - (5*b[2])/2 + 2*b[3] + 
       (2*b[4])/3 - b[5]/3 + b[6] + 2*b[7] - 2*b[8] + b[10] - (3*b[11])/2)*
      HPL[{1}, 1 - v]*Omega2[w, u, v] + (-2*b[1] + b[3] - 2*b[5])*
      HPL[{1}, 1 - w]*Omega2[w, u, v] + (b[1]/3 - b[4]/6 + b[5]/3 + b[6])*
      Ot[u, v, w] + ((-224*b[1])/9 + (32*b[3])/3 + (64*b[4])/9 - 
       (224*b[5])/9 + (32*b[6])/3)*Qep[u, v, w] + 
     ((32*b[1])/9 - (32*b[3])/3 + (176*b[4])/9 + (32*b[5])/9 - (32*b[6])/3)*
      Qep[u, w, v] + ((64*b[1])/3 - (32*b[3])/3 + (16*b[4])/3 + (64*b[5])/3 - 
       (64*b[6])/3)*Qep[v, u, w] + ((-32*b[1])/3 + (32*b[3])/3 + 
       (16*b[4])/3 - (32*b[5])/3 - (32*b[6])/3)*Qep[v, w, u] + 
     ((-64*b[1])/9 + (32*b[3])/3 - (16*b[4])/9 - (64*b[5])/9)*Qep[w, u, v] + 
     ((160*b[1])/9 - (32*b[3])/3 - (32*b[4])/9 + (160*b[5])/9 - 32*b[6])*
      Qep[w, v, u] + (-b[1]/3 + b[3]/3 - b[4]/12 - b[5]/3 + b[6]/2)*
      HPL[{1}, 1 - u]^3*\[Zeta][2] + (-3*b[1] - b[2] - 2*b[3] - 2*b[4] - 
       2*b[5] + 2*b[6] - 2*b[7] + 2*b[8] + b[11]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*\[Zeta][2] + (b[1] + 9*b[2] + 2*b[3] - 6*b[4] + 
       4*b[7] - 4*b[8] - 2*b[10] + b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      \[Zeta][2] + (b[1]/6 - (5*b[2])/2 - b[3]/2 + (5*b[4])/12 + b[5]/6 + 
       b[6]/2 - b[7] + b[8] + b[10]/2)*HPL[{1}, 1 - v]^3*\[Zeta][2] + 
     b[4]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][2] + 
     ((11*b[1])/3 - 5*b[2] + 4*b[3] + (11*b[4])/3 + (2*b[5])/3 + 4*b[7] - 
       4*b[8] + 2*b[10] - 3*b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*\[Zeta][2] + (-3*b[1] + b[2] - 2*b[5] + 2*b[6] - b[11])*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (-2*b[1] + b[3] - b[4] - 2*b[5] + 2*b[6])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*\[Zeta][2] + (b[1]/2 + b[2] + b[3]/2 - (5*b[4])/2 + 
       b[5] - b[6] - b[7] + b[8] - b[10]/2 + b[11])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*\[Zeta][2] + (b[1]/6 - (7*b[4])/12 + b[5]/6 + b[6]/2)*
      HPL[{1}, 1 - w]^3*\[Zeta][2] + ((-11*b[1])/3 - (41*b[4])/12 - 
       (11*b[5])/3 + (5*b[6])/2 - 2*b[8])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + ((11*b[1])/3 - 3*b[2] - 8*b[3] + (14*b[4])/3 + 
       (20*b[5])/3 - 4*b[6] - 4*b[7] + 4*b[8] + b[10] + b[11])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (-4*b[1] + 4*b[3] - b[4] - 4*b[5] + 6*b[6] - 2*b[7] + 2*b[8])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     ((-26*b[1])/3 + 4*b[3] + (13*b[4])/3 - (26*b[5])/3 + 10*b[6] - 2*b[7])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((17*b[1])/6 - 5*b[2] - 3*b[3] + (7*b[4])/12 + (17*b[5])/6 + b[6]/2 - 
       2*b[7] + 2*b[8] + b[10])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + ((28*b[1])/3 - 4*b[3] - (11*b[4])/3 + (28*b[5])/3 - 
       6*b[6])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (6*b[1] - 6*b[3] + 3*b[4] + 6*b[5] - 2*b[6] + 2*b[8])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + ((2*b[1])/3 + b[2] + b[3] - 
       (22*b[4])/3 + (8*b[5])/3 - 2*b[6] - 2*b[7] + 2*b[8] - b[10] + b[11])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     ((5*b[1])/6 + 2*b[3] - (71*b[4])/12 + (5*b[5])/6 + b[6]/2 + 2*b[7] - 
       2*b[8])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (b[1] - 4*b[2] - 4*b[3] + (13*b[4])/4 + 3*b[5] - (3*b[6])/2 + 2*b[10] - 
       2*b[11])*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     ((7*b[1])/2 - 2*b[3] + b[4]/4 + (7*b[5])/2 - (7*b[6])/2 - 2*b[7])*
      HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + ((7*b[1])/2 + 4*b[2] - 4*b[3] - 
       (13*b[4])/4 + (3*b[5])/2 - (7*b[6])/2 - 4*b[7] - 2*b[10] + 2*b[11])*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + ((4*b[1])/3 + 6*b[3] + (13*b[4])/3 + 
       (4*b[5])/3 + 2*b[6] + 4*b[7])*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + 
     ((-14*b[1])/3 + 4*b[3] + b[4]/3 - (14*b[5])/3 + 2*b[6])*
      HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     ((-26*b[1])/3 + 2*b[3] + (7*b[4])/3 - (26*b[5])/3 + 10*b[6])*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     ((24*b[1])/5 + (4*b[3])/5 + (8*b[4])/5 + (24*b[5])/5 - (24*b[6])/5 + 
       (4*b[9])/5)*HPL[{1}, 1 - u]*\[Zeta][2]^2 + 
     ((6*b[1])/5 + 6*b[2] + (36*b[3])/5 - (12*b[5])/5 - (12*b[6])/5 + 
       (48*b[7])/5 - (48*b[8])/5 - (18*b[11])/5)*HPL[{1}, 1 - v]*
      \[Zeta][2]^2 + ((-28*b[3])/5 + (16*b[4])/5 - (24*b[6])/5 - (4*b[9])/5)*
      HPL[{1}, 1 - w]*\[Zeta][2]^2 + ((-10*b[1])/3 - b[3] - (4*b[4])/3 - 
       (10*b[5])/3 + b[6] - 2*b[8])*HPL[{1}, 1 - u]^2*\[Zeta][3] + 
     (-2*b[1] + 2*b[3] - b[4] - 2*b[5] + 2*b[6] + 2*b[7])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*\[Zeta][3] + ((5*b[1])/3 - b[3] + (2*b[4])/3 + 
       (5*b[5])/3 + b[6])*HPL[{1}, 1 - v]^2*\[Zeta][3] + 
     (2*b[1] + 2*b[4] + 2*b[5] - 2*b[7] + 4*b[8])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*\[Zeta][3] + (-2*b[1] + 2*b[3] - 3*b[4] - 2*b[5] + 
       2*b[6])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][3] + 
     ((2*b[1])/3 + b[3] - (10*b[4])/3 + (2*b[5])/3 + 2*b[6] + 2*b[7] - 
       2*b[8])*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     ((-10*b[1])/3 - 4*b[2] - 2*b[3] + (8*b[4])/3 - (4*b[5])/3 + 2*b[6] + 
       2*b[10] - 2*b[11])*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     ((2*b[1])/3 + 2*b[3] - (7*b[4])/3 + (2*b[5])/3 + 4*b[6] + 2*b[7])*
      HPL[{0, 1}, 1 - v]*\[Zeta][3] + ((2*b[1])/3 + 4*b[2] + 2*b[3] - 
       (16*b[4])/3 - (4*b[5])/3 + 4*b[6] - 4*b[7] - 2*b[10] + 2*b[11])*
      HPL[{0, 1}, 1 - w]*\[Zeta][3]
 
BuvwCoproductEntries[v] = (b[1]/8 - b[2]/8 - b[3]/4 + b[4]/4 - b[7]/4 + 
       b[8]/4 + b[11]/8)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2 + 
     (b[2]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3)/4 + 
     (-b[1]/8 + b[2]/8 + b[3]/24)*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w] + 
     ((-3*b[1])/4 - (11*b[2])/12 - b[3]/4 + (2*b[4])/3 - b[5]/6 + b[6]/6 - 
       b[7]/3 + b[8]/3 + b[10]/6 + b[11]/4)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w] + ((-5*b[1])/8 + (3*b[2])/8 - b[3]/4 + (3*b[4])/4 - 
       b[7]/4 + b[8]/4 + b[11]/8)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w] + (b[2]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
       HPL[{1}, 1 - w])/2 + (b[1]/24 + (23*b[2])/24 + b[3]/8 + b[4]/12 + 
       b[5]/6 - b[6]/6 + b[7]/12 - b[8]/12 + b[10]/12)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]^2 + (-b[1] - (3*b[2])/4 - b[3] + b[4]/2 - b[7] + b[8] + 
       b[11]/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2 + 
     ((-3*b[1])/8 + (3*b[2])/8 - (3*b[3])/8 - b[4]/4 - b[7]/4 + b[8]/4)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2 - 
     (b[2]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2)/4 + 
     (-b[1]/4 + b[3]/12 + b[4]/4 - b[5]/12 + b[6]/12 + b[7]/12 - b[8]/12 - 
       b[11]/24)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3 + 
     ((-7*b[1])/12 + (5*b[2])/3 - (5*b[3])/12 + b[5]/3 - b[6]/3 - b[7]/3 + 
       b[8]/3 + b[11]/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3 + 
     (-b[1]/8 - b[2]/8 - b[3]/4 - b[7]/4 + b[8]/4 + b[11]/8)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3 + (-b[1]/8 + b[2]/8)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4 + (b[1]/6 - (5*b[2])/6 + b[3]/6)*
      HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u] + 
     (-b[1]/2 - b[3] + b[4] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u] + 
     (b[1]/4 + (3*b[2])/4 - b[3] + b[4]/2 - b[7]/2 + b[8]/2 + b[11]/4)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     (b[2]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u])/2 + 
     ((5*b[1])/4 + (5*b[2])/4 + (5*b[3])/2 - b[4]/2 + 2*b[7] - 2*b[8] + 
       b[9]/4 + b[10]/2 - 2*b[11])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u] + ((-3*b[1])/2 + (13*b[2])/2 - 3*b[3] - 4*b[4] + 
       3*b[5] - 3*b[6] - 3*b[7] + 3*b[8] - b[9]/2 - 3*b[10] + (9*b[11])/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (b[1]/4 + b[2]/4 + b[3]/2 + b[7]/2 - b[8]/2 - b[11]/4)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (b[1]/2 + (15*b[2])/2 - (5*b[3])/4 - (9*b[4])/4 + 2*b[5] - 2*b[6] - 
       b[7] + b[8] - b[9]/4 - (7*b[10])/4 + (9*b[11])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (-b[1]/2 - b[2]/2 - b[3] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (b[1]/4 + b[2]/4 + b[3]/2 + b[7]/2 - b[8]/2 - b[11]/4)*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - u] + (b[1]/2 + (5*b[2])/2 - b[4] - b[5]/2)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2 + 
     (b[1]/4 + b[2]/4 + b[3]/2 + b[7]/2 - b[8]/2 - b[11]/4)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2 + (-b[1]/4 - b[2]/4 - (2*b[3])/3 + b[4]/2 - 
       b[7]/2 + b[8]/2 + b[11]/4)*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v] + 
     ((3*b[1])/2 - b[3] + b[4] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + b[2]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v] + 
     ((-5*b[3])/2 - (27*b[4])/4 - b[7] + b[8] - b[9]/4 - (9*b[10])/4)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (b[1] + 2*b[2] + 6*b[3] - 2*b[4] + 4*b[7] - 4*b[8] - 2*b[11])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] - 
     2*b[2]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (-b[1]/2 - (7*b[3])/4 + b[4] + (3*b[11])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     (-b[1]/2 - b[2]/2 - b[3] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     (-b[1]/4 - b[2]/4 - b[3]/2 - b[7]/2 + b[8]/2 + b[11]/4)*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     (b[1]/2 + (3*b[2])/2 - b[3] + b[4] - b[7] + b[8] + b[11]/2)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     b[2]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (b[1]/2 + b[2]/2 + b[3] + b[4] + b[7] - b[8] + b[10] - (3*b[11])/2)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (-2*b[4] - b[7]/2 + b[8]/2 - b[9]/4)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]^2 + (b[4]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2)/2 + 
     (b[1]/4 + b[2]/12 + (2*b[3])/3 - b[4]/2 + b[7]/2 - b[8]/2 - b[11]/4)*
      HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w] + 
     (-b[1]/2 - (3*b[2])/2 - b[3] + b[4] - b[7] + b[8] + b[11]/2)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-b[1]/4 + (5*b[2])/4 + b[3]/2 - b[4]/2 + b[7]/2 - b[8]/2 - b[11]/4)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w] - 
     (b[2]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w])/2 + 
     ((-3*b[1])/4 + (17*b[2])/2 - (7*b[3])/2 - (23*b[4])/4 + (3*b[5])/2 - 
       (3*b[6])/2 - 3*b[7] + 3*b[8] - b[9]/4 - (9*b[10])/4)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (-4*b[1] + 16*b[2] - 5*b[3] + (3*b[4])/2 + 3*b[5] - 3*b[6] - b[7] + 
       b[8] - b[10]/2 + (5*b[11])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((-5*b[1])/4 + (7*b[2])/4 - b[3]/2 - b[7]/2 + b[8]/2 + b[11]/4)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (b[1] + (3*b[2])/2 + (13*b[3])/4 - (5*b[4])/4 - b[5]/2 + b[6]/2 + 
       2*b[7] - 2*b[8] - b[10]/4 - (3*b[11])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     ((3*b[1])/2 - 3*b[2] - b[3] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     ((3*b[1])/2 + (9*b[2])/2 + b[3] - b[4] + b[5] + b[7] - b[8] - b[11]/2)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] - 
     b[2]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (b[1]/2 + b[2]/2 + b[3] - b[4] + b[7] - b[8] - b[11]/2)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (b[1]/2 - (7*b[2])/2 + 2*b[3] + 6*b[4] + 2*b[7] - 2*b[8] + b[9]/2 + 
       b[10] - b[11]/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] - b[2]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + (-b[1]/2 - b[2]/2 - b[3] - b[7] + b[8] + b[11]/2)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (b[1]/4 - (3*b[2])/4 + b[3]/2 - b[4]/2 + b[7]/2 - b[8]/2 - b[11]/4)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2 - 
     (b[2]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2)/2 + 
     (b[1]/2 - (7*b[2])/2 + b[4]/2 + b[5]/2)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2 + (-b[1] - 4*b[2] + b[3] - 2*b[4] + 2*b[7] - 
       2*b[8] + b[10])*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u] + 
     (-b[1] + 4*b[2] - b[3] + 2*b[4] - 2*b[7] + 4*b[8] - b[10])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (8*b[2] - 6*b[3] - 4*b[4] + 2*b[5] - 2*b[6] - 6*b[7] + 6*b[8] - 
       2*b[10] + 7*b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + (b[11]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u])/
      2 + (-b[4]/2 - b[7] + 2*b[8] - b[10]/2)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - v] + (2*b[4] + 4*b[7] - 4*b[8] + 2*b[10])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (-4*b[3] + 4*b[4])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] - 4*b[4]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + b[4]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     (-b[1]/2 - b[2]/2 + b[3]/2)*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w] + 
     (-b[1] - 3*b[2])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (-5*b[1] + 8*b[2] - 9*b[3] + 8*b[4] - 6*b[7] + 6*b[8] + b[11])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (b[1] + 7*b[2] + 2*b[5] - 2*b[6] - b[10] + b[11])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (-b[1] - 5*b[2] - 2*b[5] + b[6] + b[10] - b[11])*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - w] + (b[2] - b[3])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - u] + (2*b[1] - 2*b[2] + 3*b[3] - 2*b[4] + 2*b[7] - 
       2*b[8] - b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] - 2*b[2]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u] + (-b[1] - 4*b[2] - 2*b[3] - 4*b[4] - 2*b[7] + 
       2*b[8] - b[9] - b[10] + 2*b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + (-b[1] - b[2] - 2*b[3] - 2*b[7] + 2*b[8] + 
       b[11])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (-b[1] - b[2] - 2*b[3] + b[4] - 2*b[7] + 2*b[8] + b[10]/2 + b[11]/2)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     (b[1] + b[2] + 2*b[3] - 2*b[4] + 2*b[7] - 2*b[8] - b[11])*
      HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v] - 2*b[2]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + (2*b[1] - 3*b[3])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (b[1] + b[2] + 2*b[3] + 2*b[7] - 2*b[8] - b[11])*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v] + (-b[1]/2 - 3*b[2] - (3*b[3])/2 - b[4]/2 - 
       b[7] + b[8] - b[9]/2 + b[10]/2 + b[11])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - w] + (13*b[2] - 2*b[3] + 2*b[4] - 2*b[7] + 2*b[8] + 
       b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     2*b[2]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w] + 
     (-5*b[2] - 4*b[3] + b[4] + 2*b[5] - 2*b[6])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (2*b[1] - 9*b[2] + 2*b[3] + 2*b[7] - 2*b[8] - 2*b[11])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     (2*b[1] + 8*b[2] - 4*b[3] - 8*b[4])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u] + (-b[1] - b[2] - 2*b[3] - 2*b[7] + 2*b[8] + 
       b[11])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] - 
     4*b[3]*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v] - 
     8*b[4]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-5*b[1] - 9*b[2] + 2*b[3] + 2*b[4] - 2*b[7] + 2*b[8] + b[11])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w] + 2*b[2]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w] + (-4*b[1] - 8*b[4])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + (-2*b[1] - 2*b[2] - 2*b[3] + 8*b[4] + 
       2*b[5] - 4*b[7] + 4*b[8] - 2*b[10])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u] + (6*b[4] - 2*b[7] + 2*b[8] + b[9] - 2*b[10])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v] + 2*b[4]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + 8*b[2]*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w] + (24*b[2] - 2*b[4] + 2*b[5] - 2*b[10] + 
       2*b[11])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (2*b[1] - 3*b[2] + 4*b[3])*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u] + 
     ((3*b[1])/2 + (3*b[2])/2 + 3*b[3] + 3*b[7] - 3*b[8] - (3*b[11])/2)*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     ((11*b[1])/2 + (3*b[2])/2 + 3*b[3] - 3*b[4] + 3*b[7] - 3*b[8] - 
       (3*b[11])/2)*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w] - 
     3*b[2]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (-b[1]/2 + b[2]/2 + b[3] - b[4] + b[7] - b[8] - b[11]/2)*HPL[{1}, 1 - u]*
      Omega2[u, v, w] - b[2]*HPL[{1}, 1 - v]*Omega2[u, v, w] + 
     (-b[1]/2 - b[2]/2 - b[3] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - w]*
      Omega2[u, v, w] + (b[1]/2 - b[2]/2 - b[3] + b[4] - b[7] + b[8] + 
       b[11]/2)*HPL[{1}, 1 - u]*Omega2[v, w, u] + b[2]*HPL[{1}, 1 - v]*
      Omega2[v, w, u] + (b[1]/2 + b[2]/2 + b[3] + b[7] - b[8] - b[11]/2)*
      HPL[{1}, 1 - w]*Omega2[v, w, u] + ((-3*b[1])/2 - b[2]/2 - b[3] + b[4] - 
       b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - u]*Omega2[w, u, v] + 
     b[2]*HPL[{1}, 1 - v]*Omega2[w, u, v] + 
     (-b[1]/2 - b[2]/2 - b[3] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - w]*
      Omega2[w, u, v] + (b[1] - b[2] - b[3]/3)*HPL[{1}, 1 - u]^3*\[Zeta][2] + 
     (-b[1] + 2*b[2] + 2*b[3] - 2*b[4] + 2*b[7] - 2*b[8] - b[11])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][2] - 
     2*b[2]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][2] + 
     ((-5*b[1])/2 - (5*b[2])/2 - b[3] + 3*b[4] - 2*b[5] + 2*b[6] - b[7] + 
       b[8] + b[10] - b[11]/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (-b[2] - b[3] + 5*b[4] - 2*b[7] + 2*b[8] + b[10] + 2*b[11])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2] - 
     b[2]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (-b[1]/2 - (5*b[2])/2 - b[3] + 3*b[4] - 2*b[5] + 2*b[6] - b[7] + b[8] + 
       b[10] + b[11]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     (b[1] + b[2] + 2*b[3] + 2*b[7] - 2*b[8] - b[11])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*\[Zeta][2] + (2*b[1] - 6*b[2] - 2*b[3] + 2*b[4] - 
       4*b[7] + 4*b[8] - 2*b[10])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + (2*b[1] + 11*b[2] + 3*b[3] - 13*b[4] + 2*b[7] - 2*b[8] - 
       b[10] + 4*b[11])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (-4*b[2] - 4*b[3] + 8*b[4] + 2*b[5] - 2*b[6] - 2*b[7] + 2*b[8] + b[11])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (2*b[1] + 8*b[2] + 2*b[5] - 2*b[7] + 2*b[8] - 2*b[10])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (-6*b[2] + 2*b[4])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (3*b[1] + 6*b[2] - 3*b[3] - 7*b[4] - 
       2*b[7] + 2*b[8] - b[10] + 2*b[11])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + (-7*b[2] - 3*b[3] + 9*b[4] + 2*b[7] - 2*b[8] + b[10] - 
       2*b[11])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (8*b[2] - 2*b[4] - 2*b[10] + 2*b[11])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + 2*b[11]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (4*b[1] - 2*b[3] + 2*b[4] + 2*b[7] - 2*b[8])*HPL[{0, 0, 1}, 1 - w]*
      \[Zeta][2] + (14*b[2] - 2*b[3] - 2*b[4] + 4*b[5] + 4*b[7] - 4*b[8] + 
       6*b[10] + 2*b[11])*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + 
     (-2*b[1] - 20*b[2] - 6*b[3] + 10*b[4] + 4*b[5] - 4*b[6] - 4*b[7] + 
       4*b[8] + 4*b[10] - 2*b[11])*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     ((-2*b[1])/5 + (14*b[2])/5 - (28*b[3])/5 - (8*b[4])/5 - (12*b[7])/5 + 
       (12*b[8])/5 - (4*b[9])/5 + (6*b[11])/5)*HPL[{1}, 1 - u]*\[Zeta][2]^2 + 
     (12*b[2]*HPL[{1}, 1 - v]*\[Zeta][2]^2)/5 + 
     (2*b[1] + (14*b[2])/5 - (12*b[3])/5 - (12*b[7])/5 + (12*b[8])/5 + 
       (6*b[11])/5)*HPL[{1}, 1 - w]*\[Zeta][2]^2 + 
     (-b[2] + (3*b[4])/2 - b[7] + 2*b[8])*HPL[{1}, 1 - u]^2*\[Zeta][3] + 
     (6*b[2] - 10*b[4] - 3*b[10])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      \[Zeta][3] + (-2*b[1] + 2*b[2] - 11*b[4] + 2*b[6] + 4*b[7] - 4*b[8] - 
       b[10])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*\[Zeta][3] - 
     2*b[2]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (3*b[2] - 3*b[4] - (3*b[10])/2 + b[11])*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     (-4*b[1] + 3*b[2] - 2*b[4] - 2*b[5] + 2*b[6] + 2*b[11])*
      HPL[{0, 1}, 1 - u]*\[Zeta][3] + (-2*b[3] - 5*b[4] + 2*b[6] + 4*b[7] - 
       4*b[8] - b[10])*HPL[{0, 1}, 1 - w]*\[Zeta][3]
 
BuvwCoproductEntries[1 - w] = ((-5*b[1])/24 - b[2]/48 - b[3]/8 + b[4]/48)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2 + 
     (b[1]/12 + (7*b[2])/48 + b[3]/8 - (7*b[4])/48)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^3 - (b[3]*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w])/24 + 
     (b[1]/2 + b[2]/6)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w] + 
     (b[1]/24 + (19*b[2])/24 - (3*b[3])/4 - b[4]/6 + b[5]/4 - b[6]/4 - 
       b[7]/2 + b[8]/2 - b[10]/4 + (3*b[11])/8)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w] + 
     (-b[1]/8 + b[2]/16 + (11*b[3])/24 - b[4]/16)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]^2 + ((17*b[1])/12 - (41*b[2])/6 + 5*b[3] + 
       (35*b[4])/6 - (3*b[5])/2 + (3*b[6])/2 + 4*b[7] - 4*b[8] + b[9]/2 + 
       2*b[10] - (3*b[11])/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2 + ((29*b[1])/12 - (71*b[2])/6 + (15*b[3])/4 - 
       (5*b[4])/12 - (3*b[5])/2 + (3*b[6])/2 + (3*b[7])/2 - (3*b[8])/2 + 
       b[10]/2 - 2*b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]^2 + (b[1]/6 - (41*b[2])/48 - b[3]/8 - (7*b[4])/48)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2 + 
     ((-3*b[1])/8 - (3*b[2])/8 - (5*b[3])/8 + (3*b[4])/4 - b[5]/4 + b[6]/4 - 
       b[7]/2 + b[8]/2 + b[10]/4 - b[11]/8)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^3 + ((-23*b[1])/12 + (3*b[2])/4 - (7*b[3])/4 + 
       (5*b[4])/4 - b[5]/2 + b[6]/2 - (5*b[7])/2 + (5*b[8])/2 + b[10]/4 + 
       b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3 + 
     ((-41*b[1])/24 + (47*b[2])/12 + b[3]/8 - (13*b[4])/24 - b[5]/4 + 
       b[6]/4 + (3*b[11])/8)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3 + 
     (5*b[2]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4)/6 + 
     (-b[1]/6 - b[2]/12 - b[3]/6 + b[4]/12)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - u] + (-b[2]/2 - b[4]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u] + 
     ((-25*b[1])/36 + (37*b[2])/72 - (5*b[3])/12 - (13*b[4])/72)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     (b[1]/6 + (7*b[2])/24 + b[3]/4 - (7*b[4])/24)*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - u] + (b[1]/2 + b[2] + b[3]/2 - b[4] + b[7] - b[8]/2 - 
       b[9]/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((4*b[1])/3 - (11*b[2])/3 - b[3]/2 + (11*b[4])/3 - b[6] - b[7] + b[8] + 
       b[9]/2 - b[10]/2 + b[11]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((-5*b[1])/12 + (7*b[2])/12 - (3*b[3])/2 - b[4]/3 + b[5]/2 - b[6]/2 - 
       b[7] + b[8] - b[10]/2 + (3*b[11])/4)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u] + ((-13*b[1])/4 - (35*b[2])/8 + (11*b[3])/12 + 
       (133*b[4])/24 - 3*b[5] + 2*b[6] - b[7] + b[8] + b[9]/2 + (3*b[10])/2 - 
       (3*b[11])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (b[1]/3 - b[2]/6 + b[3] + b[4]/6 + b[7] - b[8])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (-b[1] - (9*b[2])/4 + (5*b[4])/4 - b[5] + b[6] - b[7]/2 + b[8]/2 + 
       (3*b[10])/4 - (3*b[11])/4)*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     ((-2*b[1])/3 - b[2]/6 + b[3]/2 - (5*b[4])/6 + b[8]/2 - b[9]/4)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2 + 
     ((3*b[1])/2 - (3*b[2])/4 + b[3] + b[4]/4 + b[7]/2 - b[8]/2 + b[9]/4)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     ((5*b[1])/3 - (79*b[2])/12 + (3*b[3])/2 - (53*b[4])/12 + b[5] - b[6] + 
       (5*b[7])/2 - (5*b[8])/2 - b[9]/4 + 2*b[10] - (7*b[11])/4)*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     (-b[1]/4 - b[2]/24 - (5*b[3])/12 + b[4]/24)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - v] + ((5*b[1])/18 + (5*b[2])/72 - b[3]/12 - 
       (29*b[4])/72)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     (-b[1]/2 + b[2]/2 - b[3]/2 + b[4]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v] + (b[1]/6 - (7*b[2])/12 + (7*b[4])/12)*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v] + 
     ((-5*b[1])/12 + (13*b[2])/12 - (3*b[3])/2 - (4*b[4])/3 + b[5]/2 - 
       b[6]/2 - 2*b[7] + (3*b[8])/2 - b[9]/4 - b[10]/2 + (3*b[11])/4)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     ((4*b[1])/3 + (16*b[2])/3 - b[3]/2 - (7*b[4])/3 + b[5] - b[6] - 
       (3*b[10])/2 + b[11]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + (b[1]/2 - (5*b[2])/2 + b[3]/2 - b[4])*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     ((-5*b[1])/3 - (23*b[2])/3 + b[3]/2 - (4*b[4])/3 - 2*b[5] - b[10]/2 - 
       b[11]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((-23*b[1])/9 - (187*b[2])/72 + (19*b[3])/12 - (41*b[4])/72 - 2*b[5] + 
       2*b[6] + b[7] - b[8] + b[10] - b[11])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((-7*b[1])/6 - (2*b[2])/3 + b[3] - b[4]/3 - b[5] + b[6] + b[7]/2 - 
       b[8]/2 + b[10]/4 - b[11]/4)*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     ((-49*b[1])/18 + (115*b[2])/36 - (11*b[3])/6 - (19*b[4])/36 - b[8] - 
       b[9]/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((17*b[1])/9 - (145*b[2])/36 + (5*b[3])/6 + (85*b[4])/36 - b[7] + b[8] + 
       b[9]/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (b[1]/6 + (5*b[2])/3 - 3*b[3] - (13*b[4])/6 + b[5] - b[6] - 3*b[7] + 
       3*b[8] - b[9]/2 - b[10] + (3*b[11])/2)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((-2*b[1])/3 + (19*b[2])/12 + b[3]/2 - (19*b[4])/12 + b[8]/2 - b[9]/4)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + 
     (b[1]/3 - (7*b[2])/6 + (5*b[4])/3 + b[7]/2 - b[8]/2 + b[9]/4)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2 + 
     (-b[1]/6 + b[2]/3 + (11*b[3])/4 - (29*b[4])/6 - b[7]/2 + b[8]/2 - 
       b[10]/4 - (3*b[11])/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     (-b[1]/12 + b[2]/8 + b[3]/12 - b[4]/8)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - w] + ((5*b[1])/6 - b[2]/6 - (5*b[4])/6)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-b[1]/6 + (11*b[2])/6 + b[3]/2 + (7*b[4])/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     (-b[1]/3 + (7*b[2])/24 - b[3]/4 - (7*b[4])/24)*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - w] + (b[1]/12 - (29*b[2])/12 + (13*b[3])/12 - 
       (3*b[4])/2 - b[5]/2 + b[6]/2 + 3*b[7] - (9*b[8])/2 - b[9]/4 + b[10] - 
       b[11]/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((35*b[1])/6 - (37*b[2])/6 + (13*b[3])/2 - b[4]/3 + b[5] - b[6] + 
       2*b[7] - 2*b[8] + b[9]/2 - b[10]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((-49*b[1])/36 - (58*b[2])/9 + (5*b[3])/12 - (41*b[4])/36 - (3*b[5])/2 + 
       (3*b[6])/2 + b[10] - (3*b[11])/4)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + (2*b[1] - (11*b[2])/2 - b[3] + 12*b[4] + 2*b[5] - 
       2*b[7] + 2*b[8] + b[9] + b[10]/2 - (3*b[11])/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (-2*b[1] + 12*b[2] + (3*b[3])/2 - (5*b[4])/2 - b[5] + b[6] + b[7] - 
       b[8] - b[10] + b[11])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w] + ((11*b[1])/12 + (11*b[2])/12 + b[3]/4 - b[4]/6 + 
       b[5]/2 - b[6]/2 + b[7]/2 - b[8]/2 - b[10]/4)*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - w] + ((3*b[1])/2 + (7*b[2])/4 + (17*b[3])/6 - 
       (77*b[4])/12 + 2*b[7] - b[8] - b[9]/2)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-4*b[1])/3 - (11*b[2])/6 + (23*b[4])/6 - b[7] + b[8] + b[9]/2)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-19*b[1])/3 - b[2]/3 + (35*b[3])/3 - 7*b[4] - 9*b[5] + 8*b[6] + 
       13*b[7] - 13*b[8] - b[9] + (11*b[10])/2 - (3*b[11])/2)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (-b[1]/3 + (19*b[2])/6 - b[3] - (13*b[4])/6 - 2*b[7] + b[8] - b[9]/2)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-7*b[1])/9 - (121*b[2])/36 + b[3]/6 + (181*b[4])/36 + b[7] - b[8] + 
       b[9]/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((40*b[1])/9 - (362*b[2])/9 + (31*b[3])/3 - (143*b[4])/18 - b[5] + 
       b[7] - b[8] + (5*b[10])/2 - (13*b[11])/2)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-b[1]/3 + (17*b[2])/12 + (3*b[3])/2 - (29*b[4])/12 + b[8]/2 - b[9]/4)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2 + 
     (b[1]/2 - (9*b[2])/4 + (11*b[4])/4 + b[7]/2 - b[8]/2 + b[9]/4)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     ((-11*b[1])/12 - (2*b[2])/3 + b[3]/4 - b[4]/12 - b[5]/2 + b[6]/2 - 
       b[7]/2 + b[8]/2 + b[10]/4)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2 + 
     (-b[1]/3 + (2*b[2])/3 - b[3] + (4*b[4])/3)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - u] + (b[1]/3 - (5*b[2])/3 + b[3] - (7*b[4])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((-31*b[1])/36 + (61*b[2])/72 - (5*b[3])/12 - b[4]/72)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - u] + ((-4*b[1])/3 - (13*b[2])/3 + 3*b[3] + 
       (16*b[4])/3 - 2*b[5] + 2*b[6] + 4*b[7] - 4*b[8] + b[10] - 3*b[11])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((7*b[1])/3 + (16*b[2])/3 - 2*b[3] - (7*b[4])/3 + 2*b[5] - 2*b[6] - 
       b[10] + 2*b[11])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + ((-19*b[1])/12 - (101*b[2])/24 + (29*b[3])/12 + 
       (19*b[4])/8 - 2*b[5] + 2*b[6] + 3*b[10] - 3*b[11])*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u] + ((-7*b[1])/3 + (23*b[2])/3 - (23*b[4])/3 - 
       2*b[5] - b[10] + b[11])*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     ((11*b[1])/18 - (215*b[2])/36 - (17*b[3])/6 + (203*b[4])/36 + 2*b[5] + 
       b[10] - b[11])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((-5*b[1])/6 + (11*b[2])/12 + (17*b[3])/6 - (7*b[4])/12 + 3*b[11])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((5*b[1])/18 - (31*b[2])/72 + (5*b[3])/12 - (29*b[4])/72 + 2*b[8])*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v] + 
     (b[1] + 2*b[2] - b[3] + 2*b[7] - 4*b[8])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + (-b[1]/3 - (10*b[2])/3 - b[3] + (10*b[4])/3 - 
       2*b[7] + 2*b[8])*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((7*b[1])/3 + (7*b[2])/3 - 3*b[3] - b[4]/3 + 2*b[5] - 2*b[7] - b[10] + 
       b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (-2*b[1] - 6*b[2] + 5*b[3] + 2*b[4] - 2*b[5] + 2*b[7] - 2*b[8] + 
       2*b[10] - 3*b[11])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + ((-14*b[1])/9 - (151*b[2])/72 + (43*b[3])/12 + 
       (211*b[4])/72 - b[5] - b[6] + 2*b[7] - 2*b[8] + b[9]/2 + b[10] - 
       b[11])*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((-10*b[1])/9 + (53*b[2])/36 + (17*b[3])/6 - (113*b[4])/36 - 2*b[5] + 
       2*b[7] - b[10] + b[11])*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((17*b[1])/3 - (13*b[2])/3 - 4*b[3] + (13*b[4])/3 + 2*b[5] + b[10] - 
       b[11])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((20*b[1])/9 + (5*b[2])/36 - (11*b[3])/6 + (91*b[4])/36 + 2*b[5] - 
       2*b[7] - 3*b[11])*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (b[2]/2 - (5*b[3])/12 + b[4]/3)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - w] + ((4*b[1])/3 + (22*b[2])/3 - 2*b[3] + 
       (2*b[4])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     ((13*b[1])/18 - (13*b[2])/36 + (5*b[3])/12 - (17*b[4])/36)*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-7*b[1])/3 + (14*b[2])/3 + 8*b[3] - (20*b[4])/3 + 4*b[7] - 4*b[8] - 
       b[10] + b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((7*b[1])/3 - (11*b[2])/3 - 2*b[3] + (41*b[4])/3 - 4*b[7] + 4*b[8] + 
       b[10] - b[11])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((11*b[1])/3 + (11*b[2])/3 + b[3] - (2*b[4])/3 + 2*b[5] - 2*b[6] + 
       2*b[7] - 2*b[8] - b[10])*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-8*b[1])/3 - (5*b[2])/3 - (17*b[3])/6 + (4*b[4])/3 - 2*b[7])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     ((-11*b[1])/9 + (11*b[2])/18 - (7*b[3])/6 - (5*b[4])/18 + 2*b[7])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     ((2*b[1])/3 - b[2]/3 + b[4]/3)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - w] + (b[1] + b[3])*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - u] + (-b[1]/3 + (2*b[2])/3 - 3*b[3] + (10*b[4])/3)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((17*b[1])/36 - (95*b[2])/72 + (7*b[3])/12 + (11*b[4])/72)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     (b[1]/3 - (2*b[2])/3 + 3*b[3] + (2*b[4])/3 + 2*b[7] - 4*b[8] + b[9] - 
       b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((-11*b[1])/3 - (5*b[2])/3 - b[3] - (10*b[4])/3 - 2*b[5] + 2*b[6] - 
       2*b[7] + 2*b[8] - b[9] + b[10])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + (b[1]/4 + (21*b[2])/8 + (41*b[3])/12 - 
       (83*b[4])/24 + 2*b[7] - 2*b[8] - b[10] + (7*b[11])/2)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     (b[1]/3 - (13*b[2])/6 - 3*b[3] + (13*b[4])/6 - 2*b[7] + b[9])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     ((77*b[1])/18 - (209*b[2])/36 + (13*b[3])/6 - (19*b[4])/36 + 2*b[7] + 
       b[9])*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (b[1]/6 - (19*b[2])/12 - (25*b[3])/6 + (95*b[4])/12 - 2*b[7])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((-7*b[1])/18 + (29*b[2])/72 + (5*b[3])/12 + (55*b[4])/72)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v] + (b[1] - b[2] + b[3] - 3*b[4])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     ((-11*b[1])/3 - (35*b[2])/3 - b[3] - (4*b[4])/3 - 2*b[5] + 2*b[6] - 
       2*b[7] + 2*b[8] + b[10])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (b[1] + 8*b[2] + 6*b[4] + 2*b[7] - 2*b[8] + 
       b[10] - 2*b[11])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + ((70*b[1])/9 - (991*b[2])/72 - (23*b[3])/12 + 
       (295*b[4])/72 + 5*b[5] - 5*b[6] - 2*b[7] + 2*b[8] + b[10] - 
       (7*b[11])/2)*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     ((-43*b[1])/9 + (299*b[2])/36 - (13*b[3])/6 - (143*b[4])/36 - b[9])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     ((-8*b[1])/3 + (53*b[2])/6 - b[3] - (41*b[4])/6 - b[9])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     ((-22*b[1])/9 + (71*b[2])/36 + (13*b[3])/6 - (227*b[4])/36)*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((-5*b[1])/3 - (5*b[2])/3 - (17*b[3])/12 + (9*b[4])/2 - 2*b[7] + b[8] + 
       b[9]/2)*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w] + 
     ((-2*b[1])/3 - (17*b[2])/3 - (31*b[4])/3 + 2*b[7] - 2*b[8] - b[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (b[1]/18 + (161*b[2])/36 - (7*b[3])/12 + (97*b[4])/36)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - w] + ((-14*b[1])/3 + (34*b[2])/3 - (73*b[4])/3 - 
       4*b[5] + 4*b[7] - 4*b[8] - 2*b[9] - b[10] + 3*b[11])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((14*b[1])/3 - (76*b[2])/3 - 3*b[3] + (19*b[4])/3 + 2*b[5] - 4*b[6] - 
       2*b[7] + 2*b[8] + 2*b[10] - 2*b[11])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + (b[1]/3 - (25*b[2])/6 - (5*b[3])/6 + 
       (29*b[4])/6 + 2*b[5] - 2*b[6] - 2*b[7] + 2*b[8] + b[9] - b[10])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((-32*b[1])/9 + (169*b[2])/9 - (31*b[3])/6 + (41*b[4])/9 + 2*b[6] - 
       b[10] + 2*b[11])*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     (b[1]/3 - (7*b[2])/6 - 2*b[3] + (7*b[4])/6)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((2*b[1])/3 - (25*b[2])/3 + (25*b[4])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((-4*b[1])/3 + (23*b[2])/3 - 2*b[3] - (17*b[4])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u] + ((4*b[1])/3 + (4*b[2])/3 + 4*b[3] - 
       (10*b[4])/3 + 4*b[7] - 4*b[8] - b[11])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u] + (4*b[1] - 4*b[3] - 2*b[4])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v] + ((-10*b[1])/3 - (7*b[2])/3 + 4*b[3] + 
       (7*b[4])/3)*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (2*b[1] - 2*b[2] + b[3] + 4*b[4] + 2*b[7] - 2*b[8] + b[10] - 2*b[11])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((10*b[1])/3 + b[2]/3 - 6*b[3] - b[4]/3)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w] + ((-10*b[1])/3 - (4*b[2])/3 + 4*b[3] + 
       (4*b[4])/3)*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w] + 
     ((11*b[1])/3 + (11*b[2])/3 + b[3] - (2*b[4])/3 + 2*b[5] - 2*b[6] + 
       2*b[7] - 2*b[8] - b[10])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (4*b[1] - b[2] + b[4] - 2*b[8] + b[9])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u] + (-6*b[1] + 4*b[2] - 6*b[3] + 4*b[4] - 
       2*b[7] + 2*b[8] - b[9])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((10*b[1])/3 - (11*b[2])/3 + 4*b[3] - (19*b[4])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u] + ((8*b[1])/3 - (25*b[2])/3 + 2*b[3] + 
       (7*b[4])/3 + 2*b[8] + b[9])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (9*b[2] + 2*b[3] - 11*b[4] + 2*b[7] - 2*b[8] - b[9])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v] + ((-10*b[1])/3 + (14*b[2])/3 - 6*b[3] + 
       (16*b[4])/3)*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((-8*b[1])/3 - (26*b[2])/3 - 6*b[3] + (50*b[4])/3 - 4*b[7] + 2*b[8] + 
       b[9])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (2*b[1] + 9*b[2] + 2*b[3] - 15*b[4] + 2*b[7] - 2*b[8] - b[9])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + (-b[2] - 2*b[3] + b[4])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w] + (b[2]/2 - 4*b[3] - b[4]/2)*
      HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u] + (b[2] + 10*b[3] - 7*b[4])*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-4*b[1] - b[2] - 6*b[3] + 7*b[4] - 6*b[7] + 6*b[8] + (3*b[11])/2)*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 6*b[4]*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v] + (-b[1] + (7*b[2])/2 - (7*b[4])/2)*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-3*b[1] + (3*b[2])/2 + (3*b[3])/2 - (15*b[4])/2 - 3*b[7] + 3*b[8] - 
       (3*b[10])/2 + 3*b[11])*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (2*b[1] - b[2] + 6*b[3] + b[4])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w] + (-2*b[1] + 4*b[2] - 4*b[4])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w] + ((-11*b[1])/2 - (11*b[2])/2 - (3*b[3])/2 + 
       b[4] - 3*b[5] + 3*b[6] - 3*b[7] + 3*b[8] + (3*b[10])/2)*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((2*b[1])/3 - b[2]/3 + b[4]/3)*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     ((2*b[1])/3 - b[2]/3 + b[4]/3)*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     ((2*b[1])/3 - b[2]/3 + b[4]/3)*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     ((44*b[1])/3 - (91*b[2])/3 + (91*b[4])/3 + 12*b[5] + 6*b[10] - 6*b[11])*
      HPL[{0, 0, 0, 1, 1}, 1 - u] + ((-76*b[1])/3 + (77*b[2])/3 + 16*b[3] - 
       (77*b[4])/3 - 12*b[5] - 6*b[10] + 6*b[11])*HPL[{0, 0, 0, 1, 1}, 
       1 - v] + ((-10*b[1])/3 + (5*b[2])/3 - (5*b[4])/3)*
      HPL[{0, 0, 0, 1, 1}, 1 - w] + (5*b[1] - 15*b[2] + 15*b[4] + 4*b[5] + 
       2*b[10] - 2*b[11])*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     (-12*b[1] + 10*b[2] + 8*b[3] - 10*b[4] - 4*b[5] - 2*b[10] + 2*b[11])*
      HPL[{0, 0, 1, 0, 1}, 1 - v] + (-b[1] + b[2] + b[3] - 2*b[4] + b[7])*
      HPL[{0, 0, 1, 0, 1}, 1 - w] + (-2*b[1] + 13*b[2] + 18*b[3] - 13*b[4] + 
       12*b[7] - 6*b[9])*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     (16*b[1] - 53*b[2] + 6*b[3] + 41*b[4] + 6*b[9])*
      HPL[{0, 0, 1, 1, 1}, 1 - v] + (-2*b[1] + 7*b[2] + 12*b[3] - 7*b[4])*
      HPL[{0, 0, 1, 1, 1}, 1 - w] + ((2*b[1])/3 + (25*b[2])/6 + 6*b[3] - 
       (25*b[4])/6 + 4*b[7] - 2*b[9])*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     ((17*b[1])/3 - (101*b[2])/6 + 2*b[3] + (77*b[4])/6 + 2*b[9])*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + (-b[1]/3 + (13*b[2])/6 + 4*b[3] - 
       (13*b[4])/6)*HPL[{0, 1, 0, 1, 1}, 1 - w] + (-8*b[1] + 8*b[3])*
      HPL[{0, 1, 1, 1, 1}, 1 - u] + (-b[1]/3 + b[2]/6 - b[3] + (5*b[4])/6)*
      M1[u, v, w] + (b[1]/3 - (2*b[2])/3 - b[4]/3)*M1[v, u, w] + 
     ((-2*b[1])/3 - b[2]/6 - b[3] + (7*b[4])/6 - b[7])*M1[v, w, u] + 
     (-b[1] + b[2]/2 + b[4]/2)*M1[w, u, v] + 
     ((2*b[1])/3 - b[2]/3 - (2*b[4])/3)*M1[w, v, u] + 
     (b[1]/6 + b[2]/6 - b[3]/2 - b[4]/6)*Nt[u, v, w] + 
     ((2*b[1])/3 - b[2]/3 + b[3] - (2*b[4])/3)*HPL[{1}, 1 - u]*
      Omega2[u, v, w] + ((-2*b[1])/3 - (2*b[2])/3 - b[3] + (5*b[4])/3)*
      HPL[{1}, 1 - v]*Omega2[u, v, w] + (-b[1]/6 - (13*b[2])/6 + 2*b[3] + 
       (2*b[4])/3 - b[5] + b[6] + 2*b[7] - 2*b[8] + b[10] - (3*b[11])/2)*
      HPL[{1}, 1 - w]*Omega2[u, v, w] + ((-2*b[1])/3 + b[2]/3 - b[3] - 
       (4*b[4])/3)*HPL[{1}, 1 - u]*Omega2[v, w, u] + 
     ((4*b[1])/3 - (5*b[2])/3 + b[3] + (2*b[4])/3)*HPL[{1}, 1 - v]*
      Omega2[v, w, u] + ((13*b[1])/6 + b[2]/6 - b[3] + (10*b[4])/3 + b[5] - 
       b[6] - b[11]/2)*HPL[{1}, 1 - w]*Omega2[v, w, u] + 
     (-b[3] + b[4])*HPL[{1}, 1 - u]*Omega2[w, u, v] + 
     ((-2*b[1])/3 + b[2]/3 - b[3] + (2*b[4])/3)*HPL[{1}, 1 - v]*
      Omega2[w, u, v] + ((3*b[1])/2 + (7*b[2])/2 + 2*b[3] - 4*b[4] + b[5] - 
       b[6] + 2*b[7] - 2*b[8] - b[10] + b[11]/2)*HPL[{1}, 1 - w]*
      Omega2[w, u, v] + (-b[1]/3 + b[2]/6 - b[4]/6)*Ot[u, v, w] + 
     ((128*b[1])/9 - (208*b[2])/9 + (32*b[3])/3 + (16*b[4])/9)*Qep[u, v, w] + 
     ((64*b[1])/9 - (32*b[2])/9 - (32*b[3])/3 + (224*b[4])/9)*Qep[u, w, v] + 
     ((-32*b[1])/3 + (16*b[2])/3 - (32*b[3])/3 + 16*b[4])*Qep[v, u, w] + 
     ((32*b[3])/3 - (64*b[4])/3)*Qep[v, w, u] + 
     ((-32*b[1])/9 - (80*b[2])/9 + (32*b[3])/3 - (112*b[4])/9)*Qep[w, u, v] + 
     ((-64*b[1])/9 - (16*b[2])/9 - (32*b[3])/3 + (208*b[4])/9)*Qep[w, v, u] + 
     (b[2]/12 + b[3]/3 - b[4]/12)*HPL[{1}, 1 - u]^3*\[Zeta][2] + 
     (b[2] + b[4])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][2] + 
     (b[1] - b[2] + b[3] - b[4])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      \[Zeta][2] + (-b[1]/6 + (7*b[2])/12 - (7*b[4])/12)*HPL[{1}, 1 - v]^3*
      \[Zeta][2] + (4*b[1] - 2*b[3] - 2*b[4] - 2*b[7] + 2*b[8] + b[11]/2)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][2] + 
     ((-17*b[1])/3 - (20*b[2])/3 + 4*b[3] + (11*b[4])/3 - 2*b[5] + 2*b[6] + 
       4*b[7] - 4*b[8] + 2*b[10] - 3*b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*\[Zeta][2] + (-b[1] + (9*b[2])/2 + b[3]/2 - 
       (5*b[4])/2 - b[7] + b[8] - b[10]/2 + b[11])*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*\[Zeta][2] + (3*b[1] + 10*b[2] + 2*b[3] - 6*b[4] + 
       2*b[5] - 2*b[6] + 4*b[7] - 4*b[8] - 2*b[10] + b[11])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*\[Zeta][2] + (5*b[1] + 2*b[2] + 2*b[5] - 2*b[6] - 
       b[11])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     ((-5*b[1])/3 - (23*b[2])/12 - b[3]/2 + (5*b[4])/12 - b[5] + b[6] - 
       b[7] + b[8] + b[10]/2)*HPL[{1}, 1 - w]^3*\[Zeta][2] + 
     ((11*b[1])/3 + (41*b[2])/12 - (41*b[4])/12 - 2*b[8])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + ((-14*b[1])/3 + b[2]/3 - 4*b[3] + 
       (17*b[4])/3 - 2*b[7] + 2*b[8])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + (b[1] - 7*b[2] - 2*b[4] + 2*b[5] - 2*b[6] - 4*b[7] + 
       4*b[8] + b[10] + b[11])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + ((8*b[1])/3 - b[2]/3 + 2*b[3] - (11*b[4])/3 + 2*b[8])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((-5*b[1])/6 + (47*b[2])/12 + 2*b[3] - (71*b[4])/12 + 2*b[7] - 2*b[8])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((-22*b[1])/3 + (26*b[2])/3 - 7*b[3] - (2*b[4])/3 - 2*b[7] + 2*b[8] - 
       b[10] + b[11])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (-b[2] - 4*b[3] + 11*b[4] - 2*b[7])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + ((-8*b[1])/3 + (7*b[2])/3 + 4*b[3] - (31*b[4])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     ((-23*b[1])/6 - (43*b[2])/12 - 3*b[3] + (7*b[4])/12 - 2*b[5] + 2*b[6] - 
       2*b[7] + 2*b[8] + b[10])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + (3*b[1] + (3*b[2])/4 - 4*b[3] + (13*b[4])/4 + 4*b[5] + 
       2*b[10] - 2*b[11])*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     ((-7*b[1])/2 + (13*b[2])/4 - 4*b[3] - (13*b[4])/4 - 4*b[5] - 4*b[7] - 
       2*b[10] + 2*b[11])*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     ((-7*b[1])/2 + (7*b[2])/4 - 2*b[3] + b[4]/4 - 2*b[7])*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + ((-10*b[1])/3 - (13*b[2])/3 + 
       6*b[3] + (13*b[4])/3 + 4*b[7])*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + 
     ((20*b[1])/3 - (19*b[2])/3 + 2*b[3] + (7*b[4])/3)*HPL[{0, 1, 1}, 1 - v]*
      \[Zeta][2] + ((2*b[1])/3 - b[2]/3 + 4*b[3] + b[4]/3)*
      HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     ((-16*b[1])/5 - 4*b[2] + (4*b[3])/5 + (8*b[4])/5 + (4*b[9])/5)*
      HPL[{1}, 1 - u]*\[Zeta][2]^2 + ((16*b[1])/5 - (4*b[2])/5 - 
       (28*b[3])/5 + (16*b[4])/5 - (4*b[9])/5)*HPL[{1}, 1 - v]*\[Zeta][2]^2 + 
     ((42*b[1])/5 + (18*b[2])/5 + (36*b[3])/5 + (12*b[5])/5 - (12*b[6])/5 + 
       (48*b[7])/5 - (48*b[8])/5 - (18*b[11])/5)*HPL[{1}, 1 - w]*
      \[Zeta][2]^2 + ((7*b[1])/3 - (2*b[2])/3 - b[3] - (4*b[4])/3 - 2*b[8])*
      HPL[{1}, 1 - u]^2*\[Zeta][3] + (2*b[4] - 2*b[7] + 4*b[8])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][3] + 
     ((-5*b[1])/3 + (10*b[2])/3 + b[3] - (10*b[4])/3 + 2*b[7] - 2*b[8])*
      HPL[{1}, 1 - v]^2*\[Zeta][3] + (2*b[1] + b[2] + 2*b[3] - b[4] + 2*b[7])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*\[Zeta][3] + (b[2] + 2*b[3] - 3*b[4])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][3] + 
     ((-2*b[1])/3 - (2*b[2])/3 - b[3] + (2*b[4])/3)*HPL[{1}, 1 - w]^2*
      \[Zeta][3] + ((16*b[1])/3 + (4*b[2])/3 - 2*b[3] + (8*b[4])/3 + 4*b[5] + 
       2*b[10] - 2*b[11])*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     ((-20*b[1])/3 + (16*b[2])/3 + 2*b[3] - (16*b[4])/3 - 4*b[5] - 4*b[7] - 
       2*b[10] + 2*b[11])*HPL[{0, 1}, 1 - v]*\[Zeta][3] + 
     ((-2*b[1])/3 + b[2]/3 + 2*b[3] - (7*b[4])/3 + 2*b[7])*HPL[{0, 1}, 1 - w]*
      \[Zeta][3]
 
BuvwCoproductEntries[w] = (-b[1]/8 + b[2]/8 + b[3]/24)*HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - v] + (-b[1]/6 - b[2]/3 + b[3]/8 + b[4]/12 - b[5]/12 + 
       b[6]/12 + b[7]/12 - b[8]/12 + b[10]/12)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]^2 + (-b[1]/8 - b[2]/24 + b[3]/12 + b[4]/4 + b[7]/12 - 
       b[8]/12 - b[11]/24)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3 + 
     (b[2]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4)/8 + 
     ((-2*b[1])/3 + (5*b[2])/3 - b[3]/4 + (2*b[4])/3 + b[5]/3 - b[6]/3 - 
       b[7]/3 + b[8]/3 + b[10]/6 + b[11]/4)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w] + (-b[1] - b[2]/2 - b[3] + b[4]/2 - b[7] + b[8] + 
       b[11]/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w] + 
     (-b[1]/6 + b[2]/6 - (5*b[3])/12 - b[7]/3 + b[8]/3 + b[11]/12)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w] + 
     (-b[1]/8 - b[2]/8 - b[3]/4 + b[4]/4 - b[7]/4 + b[8]/4 + b[11]/8)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2 + 
     (-b[1] - b[3]/4 + (3*b[4])/4 - b[5]/4 + b[6]/4 - b[7]/4 + b[8]/4 + 
       b[11]/8)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2 + 
     ((-3*b[1])/4 + (21*b[2])/8 - (3*b[3])/8 - b[4]/4 + b[5]/2 - b[6]/2 - 
       b[7]/4 + b[8]/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2 + 
     (-b[1]/8 - (3*b[2])/8 - b[3]/4 - b[7]/4 + b[8]/4 + b[11]/8)*
      HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2 + (-b[1]/2 + b[2]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3 + 
     (b[3]*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u])/6 + 
     ((5*b[1])/4 + (7*b[2])/4 + (5*b[3])/2 - b[4]/2 + 2*b[7] - 2*b[8] + 
       b[9]/4 + b[10]/2 - 2*b[11])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u] + (-b[1]/4 + 5*b[2] - (5*b[3])/4 - (9*b[4])/4 + 
       (3*b[5])/2 - (3*b[6])/2 - b[7] + b[8] - b[9]/4 - (7*b[10])/4 + 
       (9*b[11])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     (b[1]/4 + b[2]/12 + b[3]/2 + b[7]/2 - b[8]/2 - b[11]/4)*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u] + 
     ((3*b[1])/2 - 2*b[2] - b[3] + b[4] - b[7] + b[8] + b[11]/2)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((-3*b[1])/2 + 14*b[2] - 3*b[3] - 4*b[4] + 3*b[5] - 3*b[6] - 3*b[7] + 
       3*b[8] - b[9]/2 - 3*b[10] + (9*b[11])/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (-b[1]/2 - b[2] - b[3] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((-5*b[1])/4 + (5*b[2])/4 - b[3] + b[4]/2 - b[7]/2 + b[8]/2 + b[11]/4)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (b[1]/4 + (3*b[2])/4 + b[3]/2 + b[7]/2 - b[8]/2 - b[11]/4)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (b[1]/2 - b[2] - b[4] + b[5]/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2 + 
     (b[1]/4 + (3*b[2])/4 + b[3]/2 + b[7]/2 - b[8]/2 - b[11]/4)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     (b[1]/4 + b[2]/4 + (2*b[3])/3 - b[4]/2 + b[7]/2 - b[8]/2 - b[11]/4)*
      HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v] + 
     (-b[1] - b[2] - (7*b[3])/2 - (23*b[4])/4 - 3*b[7] + 3*b[8] - b[9]/4 - 
       (9*b[10])/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     ((5*b[1])/4 + 3*b[2] + (13*b[3])/4 - (5*b[4])/4 + 2*b[7] - 2*b[8] - 
       b[10]/4 - (3*b[11])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v] - (b[2]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v])/3 + 
     (-b[1]/2 - b[2]/2 - b[3] + b[4] - b[7] + b[8] + b[11]/2)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (b[1]/2 + 2*b[2] - 5*b[3] + (3*b[4])/2 + b[5] - b[6] - b[7] + b[8] - 
       b[10]/2 + (5*b[11])/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + (-b[1]/2 - b[2] - b[3] - b[7] + b[8] + b[11]/2)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (b[1]/4 + b[2]/4 + b[3]/2 - b[4]/2 + b[7]/2 - b[8]/2 - b[11]/4)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     (-b[1]/4 - (3*b[2])/4 - b[3]/2 - b[7]/2 + b[8]/2 + b[11]/4)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     (b[1]/2 + b[2]/2 + b[3] - b[4] + b[7] - b[8] - b[11]/2)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (b[1]/2 + (11*b[2])/2 + b[3] - b[4] + b[7] - b[8] - b[11]/2)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (b[1]/4 + b[2]/4 + b[3]/2 - b[4]/2 + b[7]/2 - b[8]/2 - b[11]/4)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + ((3*b[2])/2 + b[4]/2)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2 + 
     (-b[1]/4 - b[2]/4 - (2*b[3])/3 + b[4]/2 - b[7]/2 + b[8]/2 + b[11]/4)*
      HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w] + 
     ((-3*b[1])/4 + (19*b[2])/2 - (5*b[3])/2 - (27*b[4])/4 + (3*b[5])/2 - 
       (3*b[6])/2 - b[7] + b[8] - b[9]/4 - (9*b[10])/4)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-b[1] + (35*b[2])/4 - (7*b[3])/4 + b[4] + (3*b[5])/2 - (3*b[6])/2 + 
       (3*b[11])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     ((-7*b[1])/12 + b[2]/4 - b[3]/2 - b[7]/2 + b[8]/2 + b[11]/4)*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w] + 
     (-b[1]/2 - b[3] + b[4] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (3*b[1] + (5*b[2])/2 + 6*b[3] - 2*b[4] + 4*b[7] - 4*b[8] - 2*b[11])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((3*b[1])/2 - 4*b[2] - b[3] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] - 
     (5*b[2]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w])/2 + 
     (-b[1]/2 - b[2]/2 - b[3] + b[4] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (b[1]/2 + (3*b[2])/2 + b[3] + b[4] + b[7] - b[8] + b[10] - (3*b[11])/2)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((3*b[1])/2 + (13*b[2])/2 + 2*b[3] + 6*b[4] + b[5] + 2*b[7] - 2*b[8] + 
       b[9]/2 + b[10] - b[11]/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + (-b[1]/2 + (7*b[2])/2 - b[3] - b[7] + b[8] + 
       b[11]/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (-b[1]/2 + 2*b[2] - 2*b[4] - b[5]/2 - b[7]/2 + b[8]/2 - b[9]/4)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2 + 
     (b[1]/2 - b[2] + b[4]/2 + b[5]/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     (-b[1] - 2*b[2] + b[3] - 2*b[4] - 2*b[5] + b[6] + 2*b[7] - 2*b[8] + 
       b[10])*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u] + 
     (-3*b[1] + 9*b[2] - 6*b[3] - 4*b[4] - 6*b[7] + 6*b[8] - 2*b[10] + 
       7*b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (-b[2]/2 + b[11]/2)*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u] + 
     (b[1] + 2*b[2] - b[3] + 2*b[4] + 2*b[5] - 2*b[6] - 2*b[7] + 4*b[8] - 
       b[10])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] - 
     3*b[2]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     (b[3]*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v])/2 + 
     (-2*b[2] - 9*b[3] + 8*b[4] - 6*b[7] + 6*b[8] + b[11])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + (-b[2] + b[10] - b[11])*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v] + (3*b[2] - b[10] + b[11])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((3*b[2])/2 - b[4]/2 - b[7] + 2*b[8] - b[10]/2)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - w] + (-2*b[1] + 10*b[2] - 4*b[3] + 4*b[4])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (b[1]/2 + b[2] + b[4] + b[5] - b[6])*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - w] + (-6*b[2] + 2*b[4] + 4*b[7] - 4*b[8] + 2*b[10])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     (-2*b[1] - 4*b[2] - 4*b[4] - 4*b[5] + 2*b[6])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] - b[3]*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - u] + (-2*b[1] - 5*b[2] - 2*b[3] - 4*b[4] - 2*b[7] + 
       2*b[8] - b[9] - b[10] + 2*b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (-b[1] - (7*b[2])/2 - 2*b[3] + b[4] - 2*b[7] + 
       2*b[8] + b[10]/2 + b[11]/2)*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     (2*b[1] - 4*b[2] + 3*b[3] - 2*b[4] + 2*b[7] - 2*b[8] - b[11])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (-b[1] - 2*b[3] - 2*b[7] + 2*b[8] + b[11])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (-b[1] - b[2] - (3*b[3])/2 - b[4]/2 - b[7] + b[8] - b[9]/2 + b[10]/2 + 
       b[11])*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v] + 
     (-b[1] - 5*b[2] - 4*b[3] + b[4])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + b[2]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v] + 
     (-b[1] - b[2] - 2*b[3] + 2*b[4] - 2*b[7] + 2*b[8] + b[11])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (b[1] + 2*b[3] + 2*b[7] - 2*b[8] - 2*b[11])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (b[1] - b[2]/2 + 2*b[3] - 2*b[4] + 2*b[7] - 2*b[8] - b[11])*
      HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w] + (-2*b[1] - 7*b[2] - 3*b[3])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((3*b[1])/2 - (3*b[2])/2 + 2*b[3] + 2*b[7] - 2*b[8] - b[11])*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w] + 2*b[2]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + (-4*b[3] - 8*b[4])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-b[1] - 9*b[2] - 2*b[3] - 2*b[7] + 2*b[8] + b[11])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u] + (-b[1] - b[2] + 2*b[3] + 2*b[4] - 2*b[7] + 
       2*b[8] + b[11])*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (4*b[1] + 2*b[2] - 8*b[4])*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (4*b[1] - 4*b[3])*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w] - 
     8*b[4]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (8*b[2] - 2*b[3] + 8*b[4] + 2*b[5] - 4*b[7] + 4*b[8] - 2*b[10])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u] - 2*b[2]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u] + (-2*b[2] - 2*b[4] - 2*b[10] + 2*b[11])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (2*b[1] - 2*b[2] + 6*b[4] + 2*b[5] - 2*b[7] + 2*b[8] + b[9] - 2*b[10])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w] + (8*b[2] + 2*b[4] + 2*b[5])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 4*b[3]*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u] + ((11*b[1])/2 + (3*b[2])/2 + 3*b[3] + 
       3*b[7] - 3*b[8] - (3*b[11])/2)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + ((3*b[1])/2 + (3*b[2])/2 + 3*b[3] - 3*b[4] + 
       3*b[7] - 3*b[8] - (3*b[11])/2)*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v] - 6*b[2]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v] - 3*b[2]*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - w] + (-b[1]/2 - b[2]/2 - b[3] + b[4] - b[7] + 
       b[8] + b[11]/2)*HPL[{1}, 1 - u]*Omega2[u, v, w] + 
     (-b[1]/2 + b[2]/2 - b[3] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - v]*
      Omega2[u, v, w] + (-b[1]/2 - b[2]/2 - b[3] + b[4] - b[7] + b[8] + 
       b[11]/2)*HPL[{1}, 1 - u]*Omega2[v, w, u] + 
     (b[1]/2 + (3*b[2])/2 + b[3] + b[7] - b[8] - b[11]/2)*HPL[{1}, 1 - v]*
      Omega2[v, w, u] + (b[1]/2 + b[2]/2 + b[3] - b[4] + b[7] - b[8] - 
       b[11]/2)*HPL[{1}, 1 - u]*Omega2[w, u, v] + 
     (-b[1]/2 - (3*b[2])/2 - b[3] - b[7] + b[8] + b[11]/2)*HPL[{1}, 1 - v]*
      Omega2[w, u, v] - (b[3]*HPL[{1}, 1 - u]^3*\[Zeta][2])/3 + 
     ((-5*b[1])/2 - (7*b[2])/2 - b[3] + 3*b[4] - 2*b[5] + 2*b[6] - b[7] + 
       b[8] + b[10] - b[11]/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][2] + 
     ((-3*b[1])/2 - b[2]/2 - b[3] + 3*b[4] - b[7] + b[8] + b[10] + b[11]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][2] - 
     b[2]*HPL[{1}, 1 - v]^3*\[Zeta][2] + (b[1] + b[2] + 2*b[3] - 2*b[4] + 
       2*b[7] - 2*b[8] - b[11])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      \[Zeta][2] + (-3*b[1] - 4*b[2] - b[3] + 5*b[4] - 6*b[5] + 6*b[6] - 
       2*b[7] + 2*b[8] + b[10] + 2*b[11])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*\[Zeta][2] + (b[1] + 3*b[2] + 2*b[3] + 2*b[7] - 
       2*b[8] - b[11])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (4*b[1] + 8*b[2] - 2*b[3] + 2*b[4] + 4*b[5] - 4*b[7] + 4*b[8] - 2*b[10])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (-2*b[2] - 4*b[3] + 8*b[4] + 2*b[5] - 2*b[6] - 2*b[7] + 2*b[8] + b[11])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (-b[1] + 16*b[2] + 3*b[3] - 13*b[4] - 2*b[5] + 2*b[6] + 2*b[7] - 
       2*b[8] - b[10] + 4*b[11])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + (-2*b[1] + b[2] - 3*b[3] - 7*b[4] + 2*b[6] - 2*b[7] + 
       2*b[8] - b[10] + 2*b[11])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + (-2*b[2] - 2*b[4] - 2*b[10] + 2*b[11])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (7*b[1] - 2*b[2] - 3*b[3] + 9*b[4] + 
       6*b[5] - 6*b[6] + 2*b[7] - 2*b[8] + b[10] - 2*b[11])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (-2*b[1] - 2*b[5] - 2*b[7] + 2*b[8] - 
       2*b[10])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     2*b[4]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (4*b[2] + 2*b[11])*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (-2*b[3] + 2*b[4] + 4*b[6] + 2*b[7] - 2*b[8])*HPL[{0, 0, 1}, 1 - v]*
      \[Zeta][2] + (-10*b[1] - 16*b[2] - 2*b[3] - 2*b[4] - 4*b[5] - 4*b[6] + 
       4*b[7] - 4*b[8] + 6*b[10] + 2*b[11])*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][2] + (-6*b[3] + 10*b[4] + 4*b[5] - 4*b[6] - 4*b[7] + 4*b[8] + 
       4*b[10] - 2*b[11])*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     ((-6*b[1])/5 - (6*b[2])/5 - (28*b[3])/5 - (8*b[4])/5 - (12*b[7])/5 + 
       (12*b[8])/5 - (4*b[9])/5 + (6*b[11])/5)*HPL[{1}, 1 - u]*\[Zeta][2]^2 + 
     ((-6*b[1])/5 + (6*b[2])/5 - (12*b[3])/5 - (12*b[7])/5 + (12*b[8])/5 + 
       (6*b[11])/5)*HPL[{1}, 1 - v]*\[Zeta][2]^2 + 
     (2*b[1] + (3*b[4])/2 + 2*b[5] - b[6] - b[7] + 2*b[8])*HPL[{1}, 1 - u]^2*
      \[Zeta][3] + (2*b[1] + b[2] - 11*b[4] + 2*b[5] + 4*b[7] - 4*b[8] - 
       b[10])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][3] + 
     (-3*b[4] - (3*b[10])/2 + b[11])*HPL[{1}, 1 - v]^2*\[Zeta][3] + 
     (-2*b[1] - 10*b[4] - 2*b[5] + 2*b[6] - 3*b[10])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*\[Zeta][3] + (4*b[1] + 3*b[2] - 2*b[4] - 2*b[6] + 
       2*b[11])*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     (2*b[1] + b[2] - 2*b[3] - 5*b[4] + 2*b[5] + 4*b[7] - 4*b[8] - b[10])*
      HPL[{0, 1}, 1 - v]*\[Zeta][3]
 
BuvwCoproductEntries[yu] = (-b[1]/2 - b[2]/2 - 3*b[4] - b[5] - b[8] - 
       b[9]/2)*G[u, v, w] + (-b[3]/2 - b[4])*H1[u, v, w] + 
     (-b[3]/2 - b[4])*H1[v, w, u] + ((3*b[3])/2 + b[4])*H1[w, u, v] + 
     2*b[4]*F1[u, v, w]*HPL[{1}, 1 - u] + (-b[1] + b[3]/2 - b[4]/2 - b[5])*
      F1[v, w, u]*HPL[{1}, 1 - u] + (b[1]/2 - b[2]/2 + b[3]/2 - b[4]/2)*
      F1[w, u, v]*HPL[{1}, 1 - u] + ((-3*b[1])/2 + b[2]/2 - b[5])*F1[u, v, w]*
      HPL[{1}, 1 - v] + (-b[1]/2 - b[2]/2 - (3*b[3])/2 + b[4]/2 - b[7] + 
       b[8])*F1[v, w, u]*HPL[{1}, 1 - v] + (b[1]/2 + b[3]/2 - b[8])*
      F1[w, u, v]*HPL[{1}, 1 - v] + ((3*b[1])/2 - b[2]/2 + b[5] - b[6])*
      F1[u, v, w]*HPL[{1}, 1 - w] + (b[3]/2 - b[8])*F1[v, w, u]*
      HPL[{1}, 1 - w] + ((-3*b[3])/2 + b[4]/2 - b[7] + b[8])*F1[w, u, v]*
      HPL[{1}, 1 - w] + (b[3]/8 - (3*b[4])/4)*J1[u, v, w] + 
     (b[3]/8 - (3*b[4])/4)*J1[v, w, u] + ((5*b[3])/8 + (3*b[4])/4)*
      J1[w, u, v] + (-b[1]/2 + b[2]/2 - b[3]/2 - b[4]/2)*K1[u, v, w] + 
     (b[1] - b[3]/2 - b[4]/2 + b[5])*K1[v, w, u] + (b[3] + b[4] + b[8])*
      K1[w, u, v] + b[4]*HPL[{1}, 1 - u]^2*Phi6[u, v, w] + 
     (-b[1] + b[3]/2 - b[4]/2 - b[5])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      Phi6[u, v, w] - (b[3]*HPL[{1}, 1 - v]^2*Phi6[u, v, w])/2 + 
     (b[1]/2 - b[2]/2 + b[3]/2 - b[4]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Phi6[u, v, w] - b[8]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Phi6[u, v, w] - 
     (b[3]*HPL[{1}, 1 - w]^2*Phi6[u, v, w])/2 + 
     (-b[1] - b[2] + 5*b[3] - 4*b[4] - 2*b[5] - 2*b[8])*Phi6[u, v, w]*
      \[Zeta][2]
 
BuvwCoproductEntries[yv] = (-b[1]/2 - 3*b[2] + b[3]/2 + b[4]/2 + b[7] - 
       b[8] + b[10]/2 - b[11]/2)*G[u, v, w] + (-b[1]/2 - b[2])*H1[u, v, w] + 
     (-b[1]/2 - b[2])*H1[v, w, u] + ((3*b[1])/2 + b[2])*H1[w, u, v] + 
     (-b[1]/2 + (5*b[2])/2 - b[3]/2 + b[4]/2)*F1[u, v, w]*HPL[{1}, 1 - u] + 
     (-b[1]/2 - 2*b[2] - b[3]/2 + (3*b[4])/2 - b[7] + b[8] + b[10]/2 - 
       b[11]/2)*F1[v, w, u]*HPL[{1}, 1 - u] + (b[1]/2 + b[3]/2)*F1[w, u, v]*
      HPL[{1}, 1 - u] + ((-3*b[2])/2 + b[4] + b[10]/2 - b[11]/2)*F1[u, v, w]*
      HPL[{1}, 1 - v] - b[1]*F1[v, w, u]*HPL[{1}, 1 - v] + 
     (b[1]/2 + b[2]/2 + b[3]/2 - b[4]/2 + b[7] - b[8])*F1[w, u, v]*
      HPL[{1}, 1 - v] + ((-3*b[2])/2 - b[11]/2)*F1[u, v, w]*HPL[{1}, 1 - w] + 
     (b[1]/2 + 2*b[2] + b[3]/2 - (3*b[4])/2 + b[7] - b[8] - b[10]/2 + 
       b[11]/2)*F1[v, w, u]*HPL[{1}, 1 - w] + 
     (-b[1] + (3*b[2])/2 - b[4] - b[10]/2 + b[11]/2)*F1[w, u, v]*
      HPL[{1}, 1 - w] + (b[1]/8 - (3*b[2])/4)*J1[u, v, w] + 
     (b[1]/8 - (3*b[2])/4)*J1[v, w, u] + ((5*b[1])/8 + (3*b[2])/4)*
      J1[w, u, v] - b[2]*K1[u, v, w] + (b[2]/2 - b[4] - b[10]/2 + b[11]/2)*
      K1[v, w, u] + (b[1]/2 + b[2]/2 - b[3]/2 + b[4]/2 - b[7] + b[8])*
      K1[w, u, v] + b[2]*HPL[{1}, 1 - u]^2*Phi6[u, v, w] + 
     ((-3*b[2])/2 + b[4] + b[10]/2 - b[11]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      Phi6[u, v, w] - (b[1]*HPL[{1}, 1 - v]^2*Phi6[u, v, w])/2 + 
     (b[1]/2 + b[2]/2 + b[3]/2 - b[4]/2 + b[7] - b[8])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Phi6[u, v, w] - (b[1]*HPL[{1}, 1 - w]^2*Phi6[u, v, w])/
      2 + (4*b[1] - 4*b[2] + b[3] + b[4] + 2*b[7] - 2*b[8] + b[10] - b[11])*
      Phi6[u, v, w]*\[Zeta][2]
 
BuvwCoproductEntries[yw] = ((-3*b[2])/2 + b[3]/2 + b[4]/2 + b[7] - b[8] + 
       b[10]/2 - b[11]/2)*G[u, v, w] + (b[1] - b[3]/2 + b[4]/2 + b[5] - b[6])*
      F1[u, v, w]*HPL[{1}, 1 - u] + (b[3]*F1[v, w, u]*HPL[{1}, 1 - u])/2 + 
     ((-3*b[2])/2 - b[3]/2 + (3*b[4])/2 - b[7] + b[8] + b[10]/2 - b[11]/2)*
      F1[w, u, v]*HPL[{1}, 1 - u] + ((-3*b[2])/2 - b[11]/2)*F1[u, v, w]*
      HPL[{1}, 1 - v] + ((3*b[2])/2 - b[4] - b[10]/2 + b[11]/2)*F1[v, w, u]*
      HPL[{1}, 1 - v] + ((3*b[2])/2 + b[3]/2 - (3*b[4])/2 + b[7] - b[8] - 
       b[10]/2 + b[11]/2)*F1[w, u, v]*HPL[{1}, 1 - v] + 
     ((-3*b[2])/2 + b[4] + b[10]/2 - b[11]/2)*F1[u, v, w]*HPL[{1}, 1 - w] + 
     (b[3]/2 - b[4]/2 + b[7] - b[8])*F1[v, w, u]*HPL[{1}, 1 - w] + 
     ((3*b[2])/2 - b[4] - b[10]/2 + b[11]/2)*K1[u, v, w] + 
     (-b[3]/2 + b[4]/2 - b[7] + b[8])*K1[w, u, v] + 
     ((-3*b[2])/2 + b[4] + b[10]/2 - b[11]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      Phi6[u, v, w] + (b[3]/2 - b[4]/2 + b[7] - b[8])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Phi6[u, v, w] + (-3*b[2] + b[3] + b[4] + 2*b[7] - 
       2*b[8] + b[10] - b[11])*Phi6[u, v, w]*\[Zeta][2]