(****************************************************************)
(*  This file contains expressions for the nine coproduct       *)
(*  entries of the complete basis of parity odd weight 6        *)
(*  hexagon functions A1[u,v,w], ... , A11[u,v,w].              *)
(*                                                              *)
(*  The coproduct entries of the nth basis function An[u,v,w]   *)
(*  can be extracted from the provided expressions by isolating *)
(*  the coefficient of a[n] in each expression. For instance,   *)
(*  the w coproduct entry of A1[u,v,w], denoted by              *)
(*  A1[u,v,w]^w, can be extracted in Mathematica using          *)
(*                                                              *)
(*       AuvwCoproductEntries[w]/.a[1]->1/.a[_]->0              *)
(*                                                              *)
(****************************************************************)


AuvwCoproductEntries[1 - u] = (2*a[2] - a[3] - 2*a[4] - a[6] - a[10]/2 - 
       a[11])*G[u, v, w] + (-a[3]/2 - a[4])*H1[u, v, w] + 
     (-a[3]/2 - a[4])*H1[v, w, u] + ((3*a[3])/2 + a[4])*H1[w, u, v] + 
     2*a[4]*F1[u, v, w]*HPL[{1}, 1 - u] + (-a[5] + a[8] - 2*a[9])*F1[v, w, u]*
      HPL[{1}, 1 - u] + (a[2] - a[5] + a[8] - 2*a[9])*F1[w, u, v]*
      HPL[{1}, 1 - u] + a[2]*F1[u, v, w]*HPL[{1}, 1 - v] + 
     (-a[2] - a[3] + a[8] - 2*a[9])*F1[v, w, u]*HPL[{1}, 1 - v] + 
     (-a[6] - a[8] + 2*a[9] - a[11])*F1[w, u, v]*HPL[{1}, 1 - v] + 
     a[2]*F1[u, v, w]*HPL[{1}, 1 - w] + (a[2] - a[6] - a[8] + 2*a[9] - a[11])*
      F1[v, w, u]*HPL[{1}, 1 - w] + (-a[3] + a[8] - 2*a[9])*F1[w, u, v]*
      HPL[{1}, 1 - w] + (a[3]/8 - (3*a[4])/4)*J1[u, v, w] + 
     (a[3]/8 - (3*a[4])/4)*J1[v, w, u] + ((5*a[3])/8 + (3*a[4])/4)*
      J1[w, u, v] + (-a[2] - a[4])*K1[u, v, w] + (-a[2] - a[4])*K1[v, w, u] + 
     (a[3] + a[4] + a[6] + a[11])*K1[w, u, v] + a[4]*HPL[{1}, 1 - u]^2*
      Phi6[u, v, w] + a[2]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Phi6[u, v, w] - 
     (a[3]*HPL[{1}, 1 - v]^2*Phi6[u, v, w])/2 + a[2]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*Phi6[u, v, w] + (-a[6] - a[11])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Phi6[u, v, w] - (a[3]*HPL[{1}, 1 - w]^2*Phi6[u, v, w])/
      2 + (4*a[2] + 3*a[3] - 2*a[4] - 2*a[6] - 2*a[11])*Phi6[u, v, w]*
      \[Zeta][2]
 

AuvwCoproductEntries[u] = (-a[5] + a[8] - 2*a[9])*F1[u, v, w]*
      HPL[{1}, 1 - v] + (-a[2] - a[5] + a[8] - 2*a[9])*F1[u, v, w]*
      HPL[{1}, 1 - w]
 

AuvwCoproductEntries[1 - v] = (-a[1] - 2*a[2] - a[3] - a[11])*G[u, v, w] + 
     (-a[1]/2 - a[2])*H1[u, v, w] + (-a[1]/2 - a[2])*H1[v, w, u] + 
     ((3*a[1])/2 + a[2])*H1[w, u, v] + (a[2] - a[5] + a[8] - 2*a[9])*
      F1[u, v, w]*HPL[{1}, 1 - u] + (-a[2] - a[3] - a[6])*F1[v, w, u]*
      HPL[{1}, 1 - u] + (-a[6] - a[8] + 2*a[9] - a[11])*F1[w, u, v]*
      HPL[{1}, 1 - u] + (-2*a[2] - a[3] - a[5] - a[6] + a[8] - 2*a[9])*
      F1[u, v, w]*HPL[{1}, 1 - v] - a[1]*F1[v, w, u]*HPL[{1}, 1 - v] + 
     (a[2] + a[5] + 2*a[6] + a[8] - 2*a[9])*F1[w, u, v]*HPL[{1}, 1 - v] + 
     (a[2] + a[5] - a[8] + 2*a[9] - a[11])*F1[u, v, w]*HPL[{1}, 1 - w] + 
     (a[2] + a[6])*F1[v, w, u]*HPL[{1}, 1 - w] + 
     (-a[1] + a[6] + a[8] - 2*a[9])*F1[w, u, v]*HPL[{1}, 1 - w] + 
     (a[1]/8 - (3*a[2])/4)*J1[u, v, w] + (a[1]/8 - (3*a[2])/4)*J1[v, w, u] + 
     ((5*a[1])/8 + (3*a[2])/4)*J1[w, u, v] + (-a[2] + a[11])*K1[u, v, w] + 
     (a[3] + a[6])*K1[v, w, u] + (a[1] - a[6])*K1[w, u, v] + 
     a[2]*HPL[{1}, 1 - u]^2*Phi6[u, v, w] + (-a[2] - a[3] - a[6])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Phi6[u, v, w] - 
     (a[1]*HPL[{1}, 1 - v]^2*Phi6[u, v, w])/2 - a[11]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*Phi6[u, v, w] + (a[2] + a[6])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Phi6[u, v, w] - (a[1]*HPL[{1}, 1 - w]^2*Phi6[u, v, w])/
      2 + (3*a[1] - 2*a[2] - 2*a[3] - 2*a[11])*Phi6[u, v, w]*\[Zeta][2]
 

AuvwCoproductEntries[v] = (a[6] + a[8] - 2*a[9])*F1[v, w, u]*
      HPL[{1}, 1 - u] + a[5]*F1[u, v, w]*HPL[{1}, 1 - v] - 
     a[5]*F1[u, v, w]*HPL[{1}, 1 - w] + (-a[2] + a[8] - 2*a[9])*F1[v, w, u]*
      HPL[{1}, 1 - w] - (a[5]*HPL[{1}, 1 - w]^2*Phi6[u, v, w])/2
 

AuvwCoproductEntries[1 - w] = (-a[1] + a[2] - a[3] - a[11])*G[u, v, w] + 
     (-a[5] + a[8] - 2*a[9])*F1[u, v, w]*HPL[{1}, 1 - u] + 
     (a[2] - a[6] - a[8] + 2*a[9] - a[11])*F1[v, w, u]*HPL[{1}, 1 - u] + 
     (-a[3] - a[6])*F1[w, u, v]*HPL[{1}, 1 - u] + 
     (a[2] + a[5] - a[8] + 2*a[9] - a[11])*F1[u, v, w]*HPL[{1}, 1 - v] + 
     (a[6] + a[8] - 2*a[9])*F1[v, w, u]*HPL[{1}, 1 - v] + 
     (-a[1] + a[6])*F1[w, u, v]*HPL[{1}, 1 - v] + 
     (-a[3] - a[5] - a[6] + a[8] - 2*a[9])*F1[u, v, w]*HPL[{1}, 1 - w] + 
     (-a[1] + a[5] + 2*a[6] + a[8] - 2*a[9])*F1[v, w, u]*HPL[{1}, 1 - w] + 
     (a[3] + a[6])*K1[u, v, w] + (-a[2] + a[11])*K1[v, w, u] + 
     (a[1] - a[6])*K1[w, u, v] + (a[2] - a[11])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*Phi6[u, v, w] + (-a[3] - a[6])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*Phi6[u, v, w] + (-a[1] + a[6])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*Phi6[u, v, w] + (-2*a[1] + 2*a[2] - 2*a[3] - 2*a[11])*
      Phi6[u, v, w]*\[Zeta][2]
 

AuvwCoproductEntries[w] = (a[6] + a[8] - 2*a[9])*F1[w, u, v]*
      HPL[{1}, 1 - u] - a[5]*F1[u, v, w]*HPL[{1}, 1 - v] + 
     (a[8] - 2*a[9])*F1[w, u, v]*HPL[{1}, 1 - v] + 
     a[5]*F1[u, v, w]*HPL[{1}, 1 - w] - 
     (a[5]*HPL[{1}, 1 - v]^2*Phi6[u, v, w])/2
 

AuvwCoproductEntries[yu] = (a[2]/12 - a[5]/4 + a[7]/12 + a[9]/4)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2 + 
     (-a[2]/12 - a[3]/8 + a[5]/4 - a[6]/8 + (7*a[7])/24 + a[8]/8 + 
       (3*a[9])/8)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3 + 
     (-a[2]/6 - a[7]/6 - a[9]/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w] + (a[2]/4 - a[3]/4 + a[5]/4 - a[6]/4 + a[7]/4 + 
       a[8]/4 + a[9]/4)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2 + 
     (a[2]/12 - a[7]/6 - a[9]/2)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2 + (-a[2]/6 - a[7]/6 - a[9]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2 + 
     ((5*a[2])/12 - a[3]/8 - (3*a[5])/4 - a[6]/8 + (7*a[7])/24 + a[8]/8 + 
       a[9]/8)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2 + 
     (a[3]/8 - a[5]/4 + a[6]/8 + a[7]/8 - a[8]/8 + (3*a[9])/8)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3 + 
     (a[2]/12 - (3*a[3])/8 - a[5]/4 - (3*a[6])/8 + (11*a[7])/24 + 
       (3*a[8])/8 + a[9]/8)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3 + 
     ((-2*a[2])/3 + a[3]/2 + a[6]/2 - (2*a[7])/3 - a[8]/2 - a[9])*
      HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u] + 
     ((-7*a[2])/18 + a[5]/6 + (11*a[7])/18 + (11*a[9])/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     (-a[2]/6 - a[3]/4 + a[5]/2 - a[6]/4 + (7*a[7])/12 + a[8]/4 + (3*a[9])/4)*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u] + 
     (a[1]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/2 + 
     (-a[2]/3 + a[3] + a[6] - (10*a[7])/3 - a[8] - 4*a[9])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     ((2*a[2])/3 - a[3] - a[5]/2 - a[6] + (2*a[7])/3 + a[8]/2)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (a[2]/2 + a[3]/6 - a[5]/6 + a[6]/6 + a[7]/2 - a[8]/6 + (11*a[9])/6)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     ((5*a[2])/3 - a[3] - a[5]/2 - a[6] + (2*a[7])/3 + a[8]/2)*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (a[3]/4 - a[5]/2 + a[6]/4 + a[7]/4 - a[8]/4 + (3*a[9])/4)*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     (a[1]/2 + (2*a[2])/3 - a[3] - a[6] + (5*a[7])/3 + a[8] + a[9])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2 + 
     ((-3*a[2])/2 - a[3]/2 + a[5] - a[6] + a[8]/2 - a[9])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]^2 + (-a[2]/6 + a[3]/2 - a[5] - (2*a[7])/3 - a[8]/2 - 
       a[9])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     (a[2]/6 - a[5]/2 + a[7]/6 + a[9]/2)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - v] + (a[2]/18 - a[3]/4 - a[5]/6 - a[6]/4 + 
       (29*a[7])/36 + a[8]/4 + (17*a[9])/12)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     (-a[2] + a[3] + a[6] - a[7] - a[8] + a[9])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v] + 
     ((-2*a[2])/3 + a[3]/2 + a[6]/2 - (7*a[7])/6 - a[8]/2 - a[9])*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v] + 
     (-a[1]/2 - a[2]/3 - a[7]/3 - a[9])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + (-a[2]/3 - a[3] - a[6] + (2*a[7])/3 + a[8] - 
       4*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + (a[2] - a[3] - (5*a[5])/2 - a[6] + a[7] + 
       (3*a[8])/2 - 3*a[9])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v] + (-a[2]/3 + a[3] + a[6] - (4*a[7])/3 - a[8])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((5*a[2])/9 - (19*a[3])/12 - (7*a[5])/3 - (19*a[6])/12 + (77*a[7])/36 + 
       (37*a[8])/12 - (7*a[9])/4)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v] + (a[2]/6 - (3*a[3])/4 + a[5]/2 - (3*a[6])/4 + 
       (11*a[7])/12 + (3*a[8])/4 + a[9]/4)*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - v] + (-a[1] - (13*a[2])/9 + 3*a[3] - (11*a[5])/3 + 
       3*a[6] - (31*a[7])/9 - 3*a[8] - a[9]/3)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((-20*a[2])/9 - (3*a[3])/2 + (11*a[5])/3 - a[6]/2 + (5*a[7])/18 + 
       (3*a[8])/2 - (19*a[9])/6)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + (a[2]/3 - a[3] - a[5] - (2*a[7])/3 + a[8] - 
       4*a[9])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (a[1]/2 - (4*a[2])/3 + a[3]/2 - a[5] + a[6]/2 - a[7]/3 - a[8]/2 - 
       2*a[9])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + 
     (a[2]/6 - a[3] - (3*a[6])/2 + (13*a[7])/6 + a[8] + 2*a[9])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2 + 
     ((13*a[2])/6 - a[3]/2 - a[6] - a[7]/3 + a[8]/2 + a[9])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2 + (a[2]/2 - a[3]/2 + a[5]/2 - a[6]/2 + a[7]/2 + 
       a[8]/2 + a[9]/2)*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w] + 
     (a[2]/6 - a[7]/3 - a[9])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((-4*a[2])/3 + a[3] + a[6] - (4*a[7])/3 - a[8])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     ((5*a[2])/6 - a[3]/4 - a[5]/2 - a[6]/4 + (7*a[7])/12 + a[8]/4 + a[9]/4)*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w] + 
     (a[1]/2 + (2*a[2])/3 - (5*a[3])/12 + a[5]/6 - (5*a[6])/12 + 
       (11*a[7])/12 + (5*a[8])/12 + (17*a[9])/12)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     (-a[2]/3 - a[3] - a[6] + (2*a[7])/3 + a[8] - 4*a[9])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((29*a[2])/18 - (17*a[3])/12 - (8*a[5])/3 - (17*a[6])/12 + 
       (73*a[7])/36 + (35*a[8])/12 - (7*a[9])/4)*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + (a[3] + a[6] - a[7] - a[8] + a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     ((-3*a[2])/2 - a[3] - (5*a[5])/2 - a[6] + a[7] + (3*a[8])/2 - 3*a[9])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (-a[2]/6 + a[3]/2 + a[6]/2 - (7*a[7])/6 - a[8]/2 - a[9])*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w] + 
     (a[1] + a[2] - (2*a[3])/3 + (11*a[5])/3 - (2*a[6])/3 - a[7] + 
       (2*a[8])/3 - a[9]/3)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + ((-2*a[2])/3 - a[3] - a[5] - (2*a[7])/3 + a[8] - 
       4*a[9])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     (a[2]/3 + (13*a[3])/6 - (11*a[5])/3 + (19*a[6])/6 - (13*a[7])/6 - 
       (13*a[8])/6 - (19*a[9])/6)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + (-a[1] - (2*a[2])/3 + a[3] + a[6] - (8*a[7])/3 - 
       a[8] - 2*a[9])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-2*a[2])/9 - a[3]/6 - (26*a[5])/3 - (7*a[6])/6 + (17*a[7])/18 + 
       a[8]/6 - (7*a[9])/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((-40*a[2])/9 - (23*a[3])/6 - (4*a[5])/3 - 
       (29*a[6])/6 + (61*a[7])/18 + (23*a[8])/6 - (7*a[9])/2)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (a[1]/2 - (2*a[2])/3 - a[3]/2 + a[5] - a[6]/2 + a[7]/3 + a[8]/2 - 
       2*a[9])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2 + 
     ((3*a[2])/2 + a[3]/2 - 2*a[5] - a[7] - a[8]/2 + a[9])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2 + ((8*a[2])/3 - a[3] - (3*a[6])/2 + (13*a[7])/6 + 
       a[8] + 2*a[9])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2 + 
     ((-8*a[2])/3 + 2*a[3] + 2*a[6] - (8*a[7])/3 - 2*a[8] - 4*a[9])*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((2*a[2])/3 - (4*a[7])/3 + 2*a[8] - 4*a[9])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((5*a[2])/18 - a[3] + (7*a[5])/6 - a[6] + (23*a[7])/18 - a[8] + 
       (23*a[9])/6)*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((-8*a[2])/3 + 2*a[3] - 4*a[5] + 2*a[6] - (8*a[7])/3 - 4*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((2*a[2])/3 + 4*a[3] - 4*a[4] - 4*a[5] + 4*a[6] - (16*a[7])/3 + 2*a[8] - 
       10*a[9] - a[10])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + ((5*a[2])/6 - (11*a[3])/6 + (17*a[5])/6 - 
       (11*a[6])/6 + (11*a[7])/6 - a[8]/6 + (23*a[9])/6)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - u] + ((-2*a[2])/3 + 8*a[3] + 8*a[6] - (26*a[7])/3 + 
       4*a[8] - 18*a[9] - a[10] - 2*a[11])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u] + ((29*a[2])/9 + 4*a[3] - 4*a[4] - (5*a[5])/3 + 
       4*a[6] - (25*a[7])/9 - (7*a[9])/3 - a[10] + 2*a[11])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (a[2]/3 + (7*a[3])/3 - 4*a[4] + (5*a[5])/3 + (7*a[6])/3 - (5*a[7])/3 + 
       (5*a[8])/3 - (7*a[9])/3 - a[10] + 2*a[11])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + (a[1] + (5*a[2])/9 - (5*a[3])/4 + (5*a[5])/6 - 
       (5*a[6])/4 + (65*a[7])/36 + (5*a[8])/4 + (5*a[9])/12)*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v] + 
     (-2*a[1] + 2*a[3] - 2*a[5] + 2*a[6] - 2*a[7] - 2*a[8] + 2*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((-8*a[2])/3 + 2*a[3] + 4*a[6] - (14*a[7])/3 - a[8] - 7*a[9])*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v] + 
     (-2*a[1] - (4*a[2])/3 + 2*a[3] + 2*a[6] - (10*a[7])/3 - 2*a[8] - 2*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (-8*a[2] - 2*a[3] - a[5] + 2*a[7] + 6*a[8] - 12*a[9])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((5*a[2])/9 - (7*a[3])/12 - (5*a[5])/6 - (7*a[6])/12 + (41*a[7])/36 + 
       (7*a[8])/12 + a[9]/4)*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     (2*a[1] - (20*a[2])/9 - (5*a[3])/2 + (2*a[5])/3 - (5*a[6])/2 + 
       (41*a[7])/18 + (5*a[8])/2 - (19*a[9])/6)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v] + ((-38*a[2])/3 - 3*a[5] - (8*a[7])/3 + 4*a[8] - 
       18*a[9])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (-2*a[1] - (56*a[2])/9 - (7*a[3])/6 - (20*a[5])/3 - (7*a[6])/6 + 
       (17*a[7])/18 + (7*a[8])/6 - (7*a[9])/2)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + ((-5*a[3])/12 - (5*a[5])/6 - (5*a[6])/12 + 
       (5*a[7])/4 + (5*a[8])/12 + (5*a[9])/12)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - w] + ((-4*a[2])/3 + 2*a[3] + 2*a[6] - (10*a[7])/3 - 
       2*a[8] - 2*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + ((5*a[2])/18 - (17*a[3])/12 + (5*a[5])/6 - 
       (17*a[6])/12 + (61*a[7])/36 + (17*a[8])/12 + a[9]/4)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - w] + ((4*a[2])/3 + 2*a[5] - (2*a[7])/3 + 2*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((-16*a[2])/3 - 5*a[5] + 2*a[6] + (2*a[7])/3 + 4*a[8] - 12*a[9])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((-2*a[2])/3 + 2*a[3] + 4*a[6] - (14*a[7])/3 - a[8] - 7*a[9])*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     (2*a[1] - (4*a[2])/3 - (5*a[3])/6 - (8*a[5])/3 - (5*a[6])/6 + 
       (7*a[7])/6 + (5*a[8])/6 - (19*a[9])/6)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - w] + (-2*a[1] - (7*a[2])/9 - (17*a[3])/6 - 
       (10*a[5])/3 - (17*a[6])/6 + (37*a[7])/18 + (17*a[8])/6 - (7*a[9])/2)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     (-2*a[1] - (20*a[2])/3 - 3*a[5] - (8*a[7])/3 + 4*a[8] - 18*a[9])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((-2*a[2])/3 + 2*a[3] - 2*a[5] + 2*a[6] - (8*a[7])/3 - 2*a[8])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((17*a[2])/18 - (5*a[5])/6 - (19*a[7])/18 - (19*a[9])/6)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     (-2*a[1] + (2*a[2])/3 + 2*a[5] - (4*a[7])/3)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((14*a[2])/3 - 4*a[3] - 5*a[6] + (26*a[7])/3 + 5*a[8] + 8*a[9])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (-a[2]/2 - (5*a[3])/6 + (5*a[5])/6 - (5*a[6])/6 - a[7]/2 + (5*a[8])/6 - 
       (19*a[9])/6)*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     (-2*a[1] + (8*a[2])/3 + 3*a[3] + 10*a[6] - (22*a[7])/3 + 6*a[8] - 
       18*a[9])*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (2*a[1] + (77*a[2])/9 - 9*a[3] + (19*a[5])/3 - 10*a[6] + (104*a[7])/9 + 
       10*a[8] + (11*a[9])/3)*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (-2*a[1] + (13*a[2])/3 - (8*a[3])/3 - (19*a[5])/3 - (11*a[6])/3 + 
       (22*a[7])/3 + (11*a[8])/3 + (11*a[9])/3)*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + ((-7*a[2])/9 + (3*a[3])/4 + (5*a[5])/6 + 
       (3*a[6])/4 - (55*a[7])/36 - (3*a[8])/4 - (19*a[9])/12)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v] + 
     (2*a[2] - 2*a[3] + 2*a[5] - 2*a[6] + 2*a[7] + 2*a[8] - 2*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     ((8*a[2])/3 + (2*a[7])/3 + 6*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (2*a[2] + 2*a[5] - a[8] + 6*a[9])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((2*a[2])/9 + (29*a[3])/12 + (7*a[5])/6 + (29*a[6])/12 - (115*a[7])/36 - 
       (65*a[8])/12 + (13*a[9])/4)*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     ((58*a[2])/9 + a[3]/2 - (13*a[5])/3 + a[6]/2 + (71*a[7])/18 + 
       (5*a[8])/2 + (29*a[9])/6)*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     ((8*a[2])/3 + a[3] - 2*a[5] + a[6] - (13*a[7])/3 + 2*a[8] - 14*a[9])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     ((58*a[2])/9 - (25*a[3])/6 + (31*a[5])/3 - (25*a[6])/6 + (83*a[7])/18 + 
       (19*a[8])/6 + (21*a[9])/2)*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     (-a[1] - (4*a[2])/3 + (19*a[3])/12 - (5*a[5])/6 + (19*a[6])/12 - 
       (25*a[7])/12 - (19*a[8])/12 - (19*a[9])/12)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - w] + ((2*a[2])/3 + (2*a[7])/3 + 6*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((-55*a[2])/18 + (19*a[3])/12 + (17*a[5])/6 + (19*a[6])/12 - 
       (95*a[7])/36 - (55*a[8])/12 + (13*a[9])/4)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - w] + ((-4*a[2])/3 - 2*a[5] + (2*a[7])/3 - 2*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((13*a[2])/3 - 2*a[3] + 6*a[5] - 2*a[6] + (4*a[7])/3 + a[8] + 6*a[9])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((5*a[2])/3 - (35*a[3])/6 + (25*a[5])/3 - (35*a[6])/6 + (49*a[7])/6 + 
       (53*a[8])/6 + (29*a[9])/6)*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((104*a[2])/9 + (13*a[3])/6 - (7*a[5])/3 + (13*a[6])/6 + (7*a[7])/18 - 
       (19*a[8])/6 + (21*a[9])/2)*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((-46*a[2])/3 + a[3] - 2*a[5] + a[6] - (13*a[7])/3 + 2*a[8] - 14*a[9])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((-8*a[2])/3 + 2*a[3] + 2*a[6] - (8*a[7])/3 - 2*a[8] - 4*a[9])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((-2*a[2])/3 + 2*a[3] - 2*a[5] + 2*a[6] - (8*a[7])/3 - 2*a[8])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((-22*a[2])/3 + 2*a[5] - (4*a[7])/3)*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - u] + 2*a[5]*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v] + ((-8*a[2])/3 + 2*a[3] + 2*a[6] - 
       (14*a[7])/3 - 2*a[8] - 4*a[9])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v] + (-4*a[1] + 2*a[3] - 2*a[5] + 2*a[6] - 
       2*a[7] - 2*a[8])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((-4*a[2])/3 + 2*a[3] - 2*a[5] + 2*a[6] - (4*a[7])/3 - 2*a[8])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w] + 
     ((-8*a[2])/3 + 2*a[5] - (2*a[7])/3)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - w] + (4*a[1] - (2*a[2])/3 + 2*a[3] + 2*a[6] - 
       (14*a[7])/3 - 2*a[8] - 4*a[9])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - w] + (-2*a[1] + 2*a[3] + 2*a[6] - 4*a[7] - 
       2*a[8])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (4*a[2] + 4*a[3] - 10*a[5] + 6*a[6] - 4*a[8] + 4*a[9])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u] + ((8*a[2])/3 - 6*a[3] + 10*a[5] - 4*a[6] + 
       (20*a[7])/3 + 6*a[8] + 4*a[9])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u] + (2*a[1] + (16*a[2])/3 - 6*a[3] + 10*a[5] - 
       6*a[6] + (16*a[7])/3 + 6*a[8] + 4*a[9])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v] + (2*a[2] + 2*a[3] - 4*a[7] - 2*a[8])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((34*a[2])/3 + 4*a[3] - 6*a[5] + 2*a[6] - (2*a[7])/3 - 12*a[8] + 
       16*a[9])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-2*a[1] - (4*a[2])/3 + 4*a[3] - 10*a[5] + 4*a[6] - (4*a[7])/3 - 
       4*a[8] + 4*a[9])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (2*a[2] - 6*a[3] + 14*a[5] - 8*a[6] + 6*a[7] - 2*a[8] + 16*a[9])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-10*a[2] + 2*a[3] - 4*a[7] - 2*a[8])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + (4*a[2] - 3*a[3] - 3*a[6] + 4*a[7] + 
       3*a[8] + 6*a[9])*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (2*a[2] - 6*a[3] + 6*a[5] - 6*a[6] + 8*a[7] + 6*a[8])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + (4*a[1] - 2*a[2] - 6*a[5] + 4*a[7])*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] - 6*a[5]*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v] + (4*a[2] - 3*a[3] - 3*a[6] + 7*a[7] + 
       3*a[8] + 6*a[9])*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-12*a[2] + 6*a[3] + 6*a[5] + 6*a[6] - 6*a[7] - 6*a[8])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + (4*a[2] - 6*a[3] + 6*a[5] - 6*a[6] + 
       4*a[7] + 6*a[8])*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (-4*a[2] + 12*a[3] - 6*a[5] + 12*a[6] - 10*a[7] - 12*a[8])*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (a[2] - 3*a[3] - 3*a[6] + 7*a[7] + 3*a[8] + 6*a[9])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - w] + ((-8*a[2])/3 + 2*a[3] + 16*a[4] + 2*a[6] - 
       (14*a[7])/3 - 2*a[8] - 4*a[9])*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     (-8*a[1] - (8*a[2])/3 + 2*a[3] + 2*a[6] - (14*a[7])/3 - 2*a[8] - 4*a[9])*
      HPL[{0, 0, 0, 0, 1}, 1 - v] + ((-8*a[2])/3 + 2*a[3] + 2*a[6] - 
       (14*a[7])/3 - 2*a[8] - 4*a[9])*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     ((16*a[2])/3 - 46*a[3] - 46*a[6] + (142*a[7])/3 - 22*a[8] + 100*a[9] + 
       6*a[10] + 12*a[11])*HPL[{0, 0, 0, 1, 1}, 1 - u] + 
     ((232*a[2])/3 - 2*a[3] + 12*a[5] - 2*a[6] + (46*a[7])/3 - 22*a[8] + 
       100*a[9])*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     (4*a[1] + (112*a[2])/3 - 2*a[3] + 12*a[5] - 2*a[6] + (46*a[7])/3 - 
       22*a[8] + 100*a[9])*HPL[{0, 0, 0, 1, 1}, 1 - w] + 
     (4*a[2] - 22*a[3] - 22*a[6] + 25*a[7] - 6*a[8] + 44*a[9] + 2*a[10] + 
       4*a[11])*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     (28*a[2] - 2*a[3] + 4*a[5] - 2*a[6] + 10*a[7] - 6*a[8] + 44*a[9])*
      HPL[{0, 0, 1, 0, 1}, 1 - v] + (4*a[1] + 19*a[2] - 2*a[3] + 4*a[5] - 
       2*a[6] + 10*a[7] - 6*a[8] + 44*a[9])*HPL[{0, 0, 1, 0, 1}, 1 - w] + 
     (12*a[1] - 16*a[2] - 20*a[3] - 60*a[6] + 44*a[7] - 36*a[8] + 108*a[9])*
      HPL[{0, 0, 1, 1, 1}, 1 - u] + (-16*a[2] - 6*a[3] + 12*a[5] - 6*a[6] + 
       26*a[7] - 18*a[8] + 90*a[9])*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     (92*a[2] - 6*a[3] + 12*a[5] - 6*a[6] + 26*a[7] - 18*a[8] + 90*a[9])*
      HPL[{0, 0, 1, 1, 1}, 1 - w] + (4*a[1] - (8*a[2])/3 - 7*a[3] - 23*a[6] + 
       (46*a[7])/3 - 9*a[8] + 34*a[9])*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     ((-8*a[2])/3 - 5*a[3] + 4*a[5] - 5*a[6] + (31*a[7])/3 - 3*a[8] + 
       28*a[9])*HPL[{0, 1, 0, 1, 1}, 1 - v] + 
     ((97*a[2])/3 - 5*a[3] + 4*a[5] - 5*a[6] + (31*a[7])/3 - 3*a[8] + 
       28*a[9])*HPL[{0, 1, 0, 1, 1}, 1 - w] + 
     (a[2]/3 + a[3] - 2*a[5] + a[6] - (2*a[7])/3 - a[8])*M1[u, v, w] + 
     (-a[2]/3 + a[5] - a[7]/3)*M1[v, u, w] + 
     (-a[1] - a[2]/3 + a[3] - a[5] + a[6] - (4*a[7])/3 - a[8])*M1[v, w, u] + 
     (a[3] - a[5] + a[6] - a[7] - a[8])*M1[w, u, v] + 
     (a[2]/3 + a[5] - (2*a[7])/3)*M1[w, v, u] + (a[2]/3 + a[7]/3 + a[9])*
      Nt[u, v, w] + ((-2*a[2])/3 + 2*a[5] - (2*a[7])/3 - 2*a[9])*
      HPL[{1}, 1 - u]*Omega2[u, v, w] + (-a[2]/3 + 2*a[3] - 2*a[5] + 2*a[6] - 
       (10*a[7])/3 - 2*a[8] - 2*a[9])*HPL[{1}, 1 - v]*Omega2[u, v, w] + 
     ((2*a[2])/3 + (2*a[7])/3 + 2*a[9])*HPL[{1}, 1 - w]*Omega2[u, v, w] + 
     ((2*a[2])/3 + (2*a[7])/3 + 2*a[9])*HPL[{1}, 1 - u]*Omega2[v, w, u] + 
     ((-7*a[2])/3 + 2*a[5] - (4*a[7])/3 - 2*a[9])*HPL[{1}, 1 - v]*
      Omega2[v, w, u] + ((-2*a[2])/3 + 2*a[3] - 2*a[5] + 2*a[6] - 
       (8*a[7])/3 - 2*a[8] - 2*a[9])*HPL[{1}, 1 - w]*Omega2[v, w, u] + 
     (-2*a[2] + 2*a[3] - 2*a[5] + 2*a[6] - 2*a[7] - 2*a[8] - 2*a[9])*
      HPL[{1}, 1 - u]*Omega2[w, u, v] + (-a[2]/3 + (2*a[7])/3 + 2*a[9])*
      HPL[{1}, 1 - v]*Omega2[w, u, v] + (2*a[5] - 2*a[7] - 2*a[9])*
      HPL[{1}, 1 - w]*Omega2[w, u, v] + ((4*a[2])/3 - a[3] - a[6] + 
       (7*a[7])/3 + a[8] + 2*a[9])*Ot[u, v, w] + 
     ((-128*a[2])/9 - (32*a[3])/3 + (64*a[5])/3 - (32*a[6])/3 - (32*a[7])/9 + 
       (32*a[8])/3 - 32*a[9])*Qep[u, v, w] + 
     ((-64*a[2])/9 + (32*a[3])/3 - (64*a[5])/3 + (32*a[6])/3 - (160*a[7])/9 - 
       (32*a[8])/3 - 32*a[9])*Qep[u, w, v] + 
     ((-64*a[2])/3 + (64*a[3])/3 - (64*a[5])/3 + (64*a[6])/3 - (64*a[7])/3 - 
       (64*a[8])/3 - (64*a[9])/3)*Qep[v, u, w] + 
     ((32*a[3])/3 + (64*a[5])/3 + (32*a[6])/3 - 32*a[7] - (32*a[8])/3 - 
       (32*a[9])/3)*Qep[v, w, u] + ((-64*a[2])/9 + (64*a[5])/3 - 
       (64*a[7])/9 - (64*a[9])/3)*Qep[w, u, v] + 
     ((-128*a[2])/9 + 32*a[3] - (64*a[5])/3 + 32*a[6] - (416*a[7])/9 - 
       32*a[8] - (32*a[9])/3)*Qep[w, v, u] + 
     ((2*a[2])/3 - a[3]/2 - a[6]/2 + (2*a[7])/3 + a[8]/2 + a[9])*
      HPL[{1}, 1 - u]^3*\[Zeta][2] + (2*a[2] - 2*a[3] - 2*a[6] + 2*a[7] + 
       2*a[8] - 2*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][2] + 
     ((2*a[2])/3 - a[3]/2 - a[6]/2 + (7*a[7])/6 + a[8]/2 + a[9])*
      HPL[{1}, 1 - v]^3*\[Zeta][2] - a[1]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      \[Zeta][2] + ((2*a[2])/3 + 2*a[3] + 2*a[6] - (4*a[7])/3 - 2*a[8] + 
       8*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (-2*a[2] + 2*a[3] + 5*a[5] + 2*a[6] - 2*a[7] - 5*a[8] + 6*a[9])*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (-2*a[3] - 2*a[6] + 2*a[7] + 2*a[8] - 2*a[9])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*\[Zeta][2] + (a[2] + 2*a[3] + 5*a[5] + 2*a[6] - 
       2*a[7] - 5*a[8] + 6*a[9])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      \[Zeta][2] + (a[2]/6 - a[3]/2 - a[6]/2 + (7*a[7])/6 + a[8]/2 + a[9])*
      HPL[{1}, 1 - w]^3*\[Zeta][2] + (-2*a[1] + (10*a[2])/3 - (5*a[3])/2 - 
       (5*a[6])/2 + (10*a[7])/3 + (5*a[8])/2 + 5*a[9])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + ((14*a[2])/3 + 2*a[3] - 8*a[5] + 
       4*a[6] + (8*a[7])/3 - 2*a[8] + 4*a[9])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + (6*a[2] - 6*a[3] + 8*a[5] - 4*a[6] + 
       8*a[7] + 6*a[8] + 4*a[9])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + (2*a[1] + (16*a[2])/3 - 6*a[3] + 8*a[5] - 6*a[6] + 
       (16*a[7])/3 + 6*a[8] + 4*a[9])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + ((16*a[2])/3 - a[3]/2 - (5*a[6])/2 + (11*a[7])/6 + 
       a[8]/2 + 7*a[9])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     ((-2*a[2])/3 + 6*a[3] + 2*a[5] + 4*a[6] - (8*a[7])/3 - 14*a[8] + 
       20*a[9])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2] + 
     (-2*a[1] + 2*a[3] - 8*a[5] + 2*a[6] - 2*a[8] + 4*a[9])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + ((14*a[2])/3 - 2*a[3] + 18*a[5] - 
       4*a[6] + (8*a[7])/3 - 6*a[8] + 20*a[9])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + ((5*a[2])/6 - a[3]/2 - (5*a[6])/2 + 
       (11*a[7])/6 + a[8]/2 + 7*a[9])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + (-2*a[2] - (5*a[3])/2 - 8*a[4] - 8*a[5] - (5*a[6])/2 + 
       4*a[7] - (27*a[8])/2 + 21*a[9] + 4*a[11])*HPL[{0, 0, 1}, 1 - u]*
      \[Zeta][2] + (-4*a[1] + 2*a[2] + (15*a[3])/2 + 10*a[5] + (15*a[6])/2 - 
       (19*a[7])/2 - (31*a[8])/2 + 23*a[9])*HPL[{0, 0, 1}, 1 - v]*
      \[Zeta][2] + (-4*a[1] + (11*a[2])/2 + (15*a[3])/2 + 10*a[5] + 
       (15*a[6])/2 - (19*a[7])/2 - (31*a[8])/2 + 23*a[9])*
      HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + (4*a[1] - (32*a[2])/3 + 6*a[3] - 
       8*a[6] - (20*a[7])/3 - 24*a[8] + 28*a[9])*HPL[{0, 1, 1}, 1 - u]*
      \[Zeta][2] + ((-32*a[2])/3 + 2*a[3] + 4*a[5] + 2*a[6] - (2*a[7])/3 - 
       16*a[8] + 20*a[9])*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     ((16*a[2])/3 + 2*a[3] + 4*a[5] + 2*a[6] - (2*a[7])/3 - 16*a[8] + 
       20*a[9])*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     ((-24*a[2])/5 + (24*a[3])/5 + (24*a[6])/5 - (24*a[7])/5 - (24*a[8])/5 - 
       (24*a[9])/5)*HPL[{1}, 1 - u]*\[Zeta][2]^2 + 
     ((-36*a[2])/5 + (24*a[3])/5 + (24*a[6])/5 - (48*a[7])/5 - (24*a[8])/5 - 
       (24*a[9])/5)*HPL[{1}, 1 - v]*\[Zeta][2]^2 + 
     ((-16*a[1])/5 - 4*a[2] + (24*a[3])/5 + (24*a[6])/5 - (48*a[7])/5 - 
       (24*a[8])/5 - (24*a[9])/5)*HPL[{1}, 1 - w]*\[Zeta][2]^2 + 
     (-a[1] + (8*a[2])/3 - (4*a[7])/3 + 4*a[9])*HPL[{1}, 1 - u]^2*
      \[Zeta][3] + (2*a[1] - 2*a[3] + 2*a[5] - 2*a[6] + 4*a[7] + 4*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][3] + 
     ((8*a[2])/3 - 2*a[5] - 2*a[6] + (8*a[7])/3 + a[8] + 3*a[9])*
      HPL[{1}, 1 - v]^2*\[Zeta][3] + (2*a[1] + 2*a[2] - 2*a[3] + 2*a[5] - 
       2*a[6] + 4*a[7] + 4*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (-2*a[2] - 2*a[3] + 2*a[5] - 2*a[6] + 2*a[7] + 2*a[8])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*\[Zeta][3] + ((-4*a[2])/3 - 2*a[5] - 2*a[6] + 
       (8*a[7])/3 + a[8] + 3*a[9])*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     ((-10*a[2])/3 - 6*a[3] - 4*a[4] - 10*a[5] - 2*a[6] + (14*a[7])/3 + 
       8*a[8] - 4*a[9] + 2*a[11])*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     (-4*a[1] + (2*a[2])/3 - 4*a[3] + (26*a[7])/3 + 10*a[8] - 6*a[9] - 
       2*a[11])*HPL[{0, 1}, 1 - v]*\[Zeta][3] + 
     ((-4*a[2])/3 - 4*a[3] + (26*a[7])/3 + 10*a[8] - 6*a[9] - 2*a[11])*
      HPL[{0, 1}, 1 - w]*\[Zeta][3] + (-4*a[2] + 16*a[3] + 16*a[4] + 4*a[5] + 
       24*a[6] - 20*a[7] + 4*a[8] - 56*a[9] + 2*a[10] - 4*a[11])*\[Zeta][2]*
      \[Zeta][3] + (8*a[1] + 46*a[2] - 46*a[3] - 16*a[4] - 54*a[6] + 
       60*a[7] + 60*a[8] + 40*a[9] - a[10] - 2*a[11])*\[Zeta][5]
 

AuvwCoproductEntries[yv] = (-a[2]/6 - a[3]/12 - a[5]/4 - a[6]/12 + a[7]/12 - 
       a[8]/8 + (3*a[9])/8)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2 + 
     (a[2]/6 - a[3]/6 + a[5]/2 - a[6]/6 + a[7]/6 + a[8]/4 + a[9]/4)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3 + 
     (-a[2]/6 - a[3]/12 - a[6]/12 + a[7]/12 - a[9]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w] + 
     (a[2]/2 + (3*a[5])/4 + (3*a[8])/8 + a[9]/8)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - w]^2 + (-a[2]/6 + a[3]/6 + a[6]/6 - a[7]/6 - a[9]/2)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2 + 
     (a[2]/12 + a[3]/6 - (3*a[5])/2 + a[6]/6 - a[7]/6 - a[9]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2 + 
     (a[2]/6 - a[3]/6 - a[6]/6 + a[7]/6 + a[9]/4)*HPL[{1}, 1 - v]^3*
      HPL[{1}, 1 - w]^2 + (-a[3]/2 - a[5]/2 - a[6]/2 + a[7]/2 + a[8]/8 + 
       a[9]/8)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3 - 
     (a[5]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3)/2 + 
     (a[2]/12 + a[3]/6 + (3*a[5])/2 + a[6]/6 - a[7]/6 + a[8]/8 + (3*a[9])/8)*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3 + 
     ((-2*a[2])/3 + a[3]/6 - a[5] + a[6]/6 - a[7]/6 - a[8]/2 - a[9])*
      HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u] + (-a[2] - a[8] + a[9])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u] + 
     (a[2]/9 - (11*a[3])/18 + a[5]/6 - (11*a[6])/18 + (11*a[7])/18 + 
       (5*a[8])/12 + (17*a[9])/12)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u] + (a[2]/3 - a[3]/3 + a[5] - a[6]/3 + a[7]/3 + 
       a[8]/2 + a[9]/2)*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u] + 
     (a[2] + a[3]/2 + (3*a[6])/2 - a[7] + (3*a[8])/2 - 3*a[9])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (-a[2]/3 + a[3]/3 - 3*a[5] + a[6]/3 - a[7]/3 + a[8] - 4*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (-a[2]/3 - a[3]/6 - a[5]/2 - a[6]/6 + a[7]/6 - a[9])*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u] + 
     (a[2]/2 - (5*a[3])/3 - (3*a[5])/2 - (5*a[6])/3 + (5*a[7])/3 + 
       (35*a[8])/12 - (7*a[9])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + (-a[2]/3 + (4*a[3])/3 - a[5]/2 + (4*a[6])/3 - 
       (4*a[7])/3 - a[8])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - u] + (-a[3] - a[5] - a[6] + a[7] + a[8]/4 + a[9]/4)*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u] + 
     (a[2]/6 - (2*a[3])/3 + (3*a[5])/2 - (2*a[6])/3 + (7*a[7])/6 + a[8] + 
       2*a[9])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2 + 
     (-a[2] + a[3] + (5*a[5])/2 + a[6] - a[7] + a[8]/2 - 2*a[9])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     (-a[2]/6 - (11*a[3])/6 + a[4] - (3*a[5])/2 - (11*a[6])/6 + (11*a[7])/6 - 
       a[8]/2 + a[9] + a[10]/4)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2 + 
     (-a[2]/3 - a[3]/6 - a[5]/2 - a[6]/6 + a[7]/6 - a[8]/4 + (3*a[9])/4)*
      HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v] + 
     ((-4*a[2])/9 - (5*a[3])/9 + a[5]/3 - (5*a[6])/9 + (5*a[7])/9 - a[8]/6 + 
       (11*a[9])/6)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] - 
     2*a[5]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v] + 
     ((-2*a[2])/3 + (2*a[3])/3 - a[5] + (2*a[6])/3 - (2*a[7])/3 - a[8]/2 - 
       a[9])*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v] + 
     ((2*a[2])/3 - (2*a[3])/3 - (5*a[6])/3 + (7*a[7])/6 + a[8]/2)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (-a[2]/3 + a[3]/3 - 3*a[5] + a[6]/3 - a[7]/3 - a[8] - 4*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (3*a[5]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/2 + 
     ((5*a[2])/3 - (2*a[3])/3 - 3*a[5] - (2*a[6])/3 + (2*a[7])/3 + a[8]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((5*a[2])/9 + (4*a[3])/9 + (17*a[5])/6 + (4*a[6])/9 - (4*a[7])/9 + 
       (11*a[9])/6)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     (a[2]/6 + a[3]/3 + 3*a[5] + a[6]/3 - a[7]/3 + a[8]/4 + (3*a[9])/4)*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     ((-31*a[2])/9 + (4*a[3])/9 - (26*a[5])/3 + (4*a[6])/9 - (13*a[7])/9 - 
       (13*a[8])/6 - (19*a[9])/6)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((-2*a[2])/9 + (2*a[3])/9 + (17*a[5])/3 + 
       (2*a[6])/9 - (2*a[7])/9 + (2*a[8])/3 - a[9]/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((7*a[2])/3 + (2*a[3])/3 - 4*a[4] - 3*a[5] + (2*a[6])/3 - (2*a[7])/3 + 
       a[8] - 4*a[9] - a[10]/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((-11*a[2])/6 - a[3]/6 - (5*a[5])/2 - a[6]/6 + 
       (2*a[7])/3 - a[8]/2 - a[9])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + 
     ((2*a[2])/3 - (2*a[3])/3 + (5*a[5])/2 - (2*a[6])/3 + (2*a[7])/3 + a[8] + 
       a[9])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2 + 
     (a[2]/6 + (11*a[3])/6 + 3*a[4] + (7*a[5])/2 + (11*a[6])/6 - 
       (11*a[7])/6 + a[8]/2 - a[9] + a[10]/4)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]^2 + (a[2] + (3*a[5])/2 + (3*a[8])/4 + a[9]/4)*
      HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w] + 
     ((-4*a[2])/3 + a[3]/3 + a[6]/3 - a[7]/3 - a[8])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (a[2]/6 + a[3]/3 - 2*a[5] + a[6]/3 - a[7]/3 - a[9])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     (a[2]/3 - a[3]/3 - a[6]/3 + a[7]/3 + a[9]/2)*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - w] + ((5*a[2])/3 - (3*a[3])/2 + a[5] - a[6]/2 + 
       2*a[7] + (37*a[8])/12 - (7*a[9])/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + (-a[2]/3 + a[3]/3 - 3*a[5] + a[6]/3 - a[7]/3 + 
       a[8] - 4*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + ((11*a[2])/18 - a[3]/9 + (19*a[5])/6 - a[6]/9 + 
       a[7]/9 + a[8]/4 + (17*a[9])/12)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] + ((-3*a[2])/2 - a[3] - 3*a[5] - a[6] + a[7] + 
       (3*a[8])/2 - 3*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w] + (a[3] + (3*a[5])/2 + a[6] - a[7] - a[8] + a[9])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w] + 
     (-a[2]/6 + (2*a[3])/3 - a[5] + (2*a[6])/3 - (2*a[7])/3 - a[8]/2 - a[9])*
      HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w] + 
     (a[2] - a[3]/3 + 5*a[5] + (5*a[6])/3 - (2*a[7])/3 + (23*a[8])/6 - 
       (7*a[9])/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-2*a[2])/3 + (2*a[3])/3 - 3*a[5] + (2*a[6])/3 - (2*a[7])/3 - a[8] - 
       2*a[9])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-5*a[2])/3 - a[3] - 4*a[4] - 9*a[5] - a[6] + a[7] + a[8]/6 - 
       (7*a[9])/2 - a[10]/2)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + ((-2*a[2])/3 - a[3]/3 - 8*a[5] - (7*a[6])/3 + 
       (4*a[7])/3 + a[8] - 4*a[9])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((-2*a[2])/9 + (2*a[3])/9 - (19*a[5])/3 + 
       (2*a[6])/9 - (2*a[7])/9 - 3*a[8] - a[9]/3)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((-4*a[2])/9 + (31*a[3])/9 + 6*a[4] + (31*a[5])/3 + (31*a[6])/9 - 
       (31*a[7])/9 + (3*a[8])/2 - (19*a[9])/6 + a[10]/2)*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((11*a[2])/6 + a[3]/6 + a[5]/2 + a[6]/6 + a[7]/3 + a[8]/2 + a[9])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2 + 
     (-a[2] + a[3] - (3*a[5])/2 + a[6] - a[7] - a[8]/2 - 2*a[9])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2 + 
     ((2*a[2])/3 - a[3]/6 + 3*a[4] + (7*a[5])/2 - a[6]/6 + a[7]/6 + a[8] + 
       2*a[9] + a[10]/4)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2 + 
     ((-8*a[2])/3 + (2*a[3])/3 - 4*a[5] + (2*a[6])/3 - (5*a[7])/3 - a[8] - 
       7*a[9])*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((2*a[2])/3 - (2*a[3])/3 - (2*a[6])/3 + (2*a[7])/3 + 2*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((5*a[2])/18 - (5*a[3])/18 + (7*a[5])/6 - (5*a[6])/18 + (5*a[7])/18 + 
       (5*a[8])/12 + (5*a[9])/12)*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((-2*a[2])/3 + (14*a[3])/3 - 4*a[4] - 8*a[5] + (14*a[6])/3 - 
       (14*a[7])/3 + 4*a[8] - 12*a[9] - a[10])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((-4*a[2])/3 + (4*a[3])/3 - 8*a[5] + (4*a[6])/3 - (4*a[7])/3 - 2*a[8] - 
       2*a[9])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((5*a[2])/6 + 2*a[4] + (9*a[5])/2 + (17*a[8])/12 + a[9]/4)*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((-14*a[2])/3 + (20*a[3])/3 - 2*a[4] - 4*a[5] + (20*a[6])/3 - 
       (20*a[7])/3 + 4*a[8] - 18*a[9] - a[10])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u] + ((11*a[2])/9 + (7*a[3])/9 - 8*a[4] - 
       (17*a[5])/3 + (7*a[6])/9 - (7*a[7])/9 + (5*a[8])/6 - (19*a[9])/6 - 
       a[10])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((7*a[2])/3 + (4*a[3])/3 - 4*a[4] + a[5] + (4*a[6])/3 - (4*a[7])/3 + 
       (17*a[8])/6 - (7*a[9])/2 - a[10])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + (-a[1] + (5*a[2])/9 - (5*a[3])/9 + 
       (10*a[5])/3 - (5*a[6])/9 + (5*a[7])/9 - a[8]/6 + (23*a[9])/6)*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v] + (-6*a[5] + 2*a[6] - 4*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((-8*a[2])/3 + (8*a[3])/3 - 4*a[5] + (8*a[6])/3 - (8*a[7])/3 - 2*a[8] - 
       4*a[9])*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((-22*a[2])/3 - (2*a[3])/3 - 7*a[5] - (2*a[6])/3 + (2*a[7])/3 + 2*a[8] - 
       10*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (-2*a[2] + 2*a[8] - 4*a[9])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + ((23*a[2])/9 - (5*a[3])/9 + a[5]/3 - 
       (5*a[6])/9 + (5*a[7])/9 - a[8] + (23*a[9])/6)*HPL[{1}, 1 - w]^2*
      HPL[{0, 0, 1}, 1 - v] + ((-38*a[2])/9 - (16*a[3])/9 + (5*a[5])/3 + 
       (2*a[6])/9 + (16*a[7])/9 + (5*a[8])/3 - (7*a[9])/3 + 2*a[11])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((-32*a[2])/3 + (2*a[3])/3 - 7*a[5] + (2*a[6])/3 - (2*a[7])/3 + 4*a[8] - 
       18*a[9] - 2*a[11])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((-74*a[2])/9 - (16*a[3])/9 - (25*a[5])/3 - (34*a[6])/9 + (16*a[7])/9 - 
       (7*a[9])/3 + 2*a[11])*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     ((-5*a[3])/6 - (5*a[6])/6 + (5*a[7])/6 + (7*a[8])/12 + a[9]/4)*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-4*a[2])/3 + (4*a[3])/3 - 4*a[5] + (4*a[6])/3 - (4*a[7])/3 - 2*a[8] - 
       2*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     ((5*a[2])/18 - (5*a[3])/18 + (11*a[5])/3 - (5*a[6])/18 + (5*a[7])/18 + 
       (5*a[8])/4 + (5*a[9])/12)*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-14*a[2])/3 - (4*a[3])/3 - a[5] + (2*a[6])/3 + (4*a[7])/3 + 6*a[8] - 
       12*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((2*a[2])/3 - (2*a[3])/3 - 6*a[5] - (2*a[6])/3 + (2*a[7])/3 - 2*a[8] + 
       2*a[9])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((-2*a[2])/3 + (8*a[3])/3 - 6*a[5] + (8*a[6])/3 - (8*a[7])/3 - a[8] - 
       7*a[9])*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-4*a[2])/3 - (13*a[3])/3 - 5*a[5] - (7*a[6])/3 + (7*a[7])/3 + 
       (7*a[8])/6 - (7*a[9])/2)*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     ((-7*a[2])/9 + (7*a[3])/9 - (5*a[5])/3 - (11*a[6])/9 + (11*a[7])/9 + 
       (5*a[8])/2 - (19*a[9])/6)*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     ((-20*a[2])/3 - (4*a[3])/3 - 7*a[5] + (14*a[6])/3 - (2*a[7])/3 + 
       4*a[8] - 18*a[9])*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((4*a[2])/3 + (2*a[3])/3 - 6*a[5] + (2*a[6])/3 - (2*a[7])/3 - 2*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((-19*a[2])/18 + (19*a[3])/18 - (5*a[5])/6 + (19*a[6])/18 - 
       (19*a[7])/18 - (19*a[8])/12 - (19*a[9])/12)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u] + ((8*a[2])/3 - (2*a[3])/3 + 2*a[5] - 
       (11*a[6])/3 + (8*a[7])/3 + a[8] + 6*a[9])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((8*a[2])/3 - (2*a[3])/3 + 6*a[5] - (2*a[6])/3 + (2*a[7])/3 + 6*a[9])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     (a[2]/2 + (10*a[3])/3 + (9*a[5])/2 + (10*a[6])/3 - (10*a[7])/3 - 
       (55*a[8])/12 + (13*a[9])/4)*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((8*a[2])/3 + (7*a[3])/3 - 6*a[5] + (22*a[6])/3 - (13*a[7])/3 + 2*a[8] - 
       14*a[9])*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     ((77*a[2])/9 - (41*a[3])/9 + (49*a[5])/3 - (32*a[6])/9 + (59*a[7])/9 + 
       (53*a[8])/6 + (29*a[9])/6)*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((13*a[2])/3 - (8*a[3])/3 - 3*a[5] - (17*a[6])/3 + (14*a[7])/3 - 
       (19*a[8])/6 + (21*a[9])/2)*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((11*a[2])/9 + (7*a[3])/9 - (2*a[5])/3 + (7*a[6])/9 - (7*a[7])/9 + 
       (5*a[8])/6 - (19*a[9])/6)*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v] + 
     6*a[5]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     ((14*a[2])/3 - (14*a[3])/3 + 6*a[5] - (14*a[6])/3 + (14*a[7])/3 + 
       5*a[8] + 8*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (-12*a[5] - 2*a[8])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((-7*a[2])/9 - (11*a[3])/9 - (23*a[5])/3 - (11*a[6])/9 + (11*a[7])/9 - 
       (19*a[9])/6)*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     ((58*a[2])/9 - (58*a[3])/9 - (28*a[5])/3 - (58*a[6])/9 + (58*a[7])/9 + 
       (11*a[8])/3 + (11*a[9])/3)*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     ((8*a[2])/3 - (8*a[3])/3 - 16*a[5] - (8*a[6])/3 + (8*a[7])/3 + 6*a[8] - 
       18*a[9])*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     ((58*a[2])/9 - (58*a[3])/9 + (26*a[5])/3 - (58*a[6])/9 + (58*a[7])/9 + 
       10*a[8] + (11*a[9])/3)*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v] + 
     ((-10*a[2])/3 + (3*a[3])/2 - 4*a[5] - a[6]/2 - (5*a[7])/2 - 
       (65*a[8])/12 + (13*a[9])/4)*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w] + 
     ((2*a[2])/3 - (8*a[3])/3 + 4*a[5] - (8*a[6])/3 + (8*a[7])/3 + 6*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((-19*a[2])/18 + (19*a[3])/18 - (13*a[5])/3 + (19*a[6])/18 - 
       (19*a[7])/18 - (3*a[8])/4 - (19*a[9])/12)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - w] + ((11*a[2])/3 - (8*a[3])/3 - (8*a[6])/3 + 
       (8*a[7])/3 - a[8] + 6*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((-2*a[2])/3 - (4*a[3])/3 - 2*a[5] - 
       (4*a[6])/3 + (4*a[7])/3 + 2*a[8] - 2*a[9])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] - 2*a[5]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - w] + ((17*a[2])/3 - (13*a[3])/3 + 8*a[4] + 16*a[5] - 
       (13*a[6])/3 + (13*a[7])/3 + (19*a[8])/6 + (21*a[9])/2 + a[10])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((32*a[2])/9 - (77*a[3])/9 - 12*a[4] - (50*a[5])/3 - (77*a[6])/9 + 
       (77*a[7])/9 + (5*a[8])/2 + (29*a[9])/6 - a[10])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + ((-22*a[2])/3 - (8*a[3])/3 - 12*a[4] - 
       16*a[5] - (8*a[6])/3 + (8*a[7])/3 + 2*a[8] - 14*a[9] - a[10])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w] + 
     ((-8*a[2])/3 + (2*a[3])/3 - 4*a[5] + (2*a[6])/3 - (2*a[7])/3 - 2*a[8] - 
       4*a[9])*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((-2*a[2])/3 + (2*a[3])/3 - 6*a[5] + (2*a[6])/3 - (2*a[7])/3 - 2*a[8])*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     ((2*a[2])/3 + (10*a[3])/3 + 8*a[4] + 2*a[5] + (10*a[6])/3 - (10*a[7])/3)*
      HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 2*a[5]*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - v] + ((-8*a[2])/3 + (8*a[3])/3 - 4*a[5] + 
       (8*a[6])/3 - (8*a[7])/3 - 2*a[8] - 4*a[9])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v] + (4*a[3] - 8*a[5] - 2*a[8])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v] + ((-10*a[2])/3 - (2*a[3])/3 - 6*a[5] - 
       (2*a[6])/3 + (2*a[7])/3 - 2*a[8])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w] + ((-2*a[2])/3 + (2*a[3])/3 + 2*a[5] + 
       (2*a[6])/3 - (2*a[7])/3)*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w] + 
     ((-2*a[2])/3 + (20*a[3])/3 - 6*a[5] + (8*a[6])/3 - (8*a[7])/3 - 2*a[8] - 
       4*a[9])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (2*a[2] + 2*a[3] - 6*a[5] + 2*a[6] - 2*a[8])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u] + (2*a[2] - 2*a[3] - 16*a[5] - 2*a[6] + 
       2*a[7] - 4*a[8] + 4*a[9])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((20*a[2])/3 + (4*a[3])/3 + 4*a[4] + 24*a[5] + (4*a[6])/3 - (4*a[7])/3 - 
       2*a[8] + 16*a[9] + a[10])*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((22*a[2])/3 + (2*a[3])/3 + 24*a[5] + (2*a[6])/3 - (8*a[7])/3 + 6*a[8] + 
       4*a[9])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-6*a[5] - 2*a[8])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((-2*a[2])/3 - (22*a[3])/3 - 12*a[4] - 22*a[5] - (22*a[6])/3 + 
       (22*a[7])/3 - 4*a[8] + 4*a[9] - a[10])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + ((-4*a[2])/3 - (8*a[3])/3 - 12*a[5] - 
       (20*a[6])/3 + (2*a[7])/3 - 12*a[8] + 16*a[9])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w] + (2*a[2] - 2*a[3] + 20*a[5] - 2*a[6] + 
       2*a[7] + 6*a[8] + 4*a[9])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (-2*a[2] - 2*a[3] - 12*a[4] - 8*a[5] - 2*a[6] + 2*a[7] - 2*a[8] - a[10])*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w] + 
     (4*a[2] - a[3] + 6*a[5] - a[6] + a[7] + 3*a[8] + 6*a[9])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u] + (2*a[2] - 2*a[3] + 18*a[5] - 2*a[6] + 
       2*a[7] + 6*a[8])*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-14*a[2] - 2*a[3] - 6*a[5] + 2*a[6] - 2*a[7] - 12*a[8])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - u] - 6*a[5]*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v] + (4*a[2] - 4*a[3] + 6*a[5] - 4*a[6] + 
       4*a[7] + 3*a[8] + 6*a[9])*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (24*a[5] + 6*a[8])*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-2*a[2] + 14*a[3] + 18*a[5] + 14*a[6] - 14*a[7] - 6*a[8])*
      HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (2*a[2] - 2*a[3] - 6*a[5] - 2*a[6] + 2*a[7])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w] + (a[2] - 4*a[3] + 12*a[5] - 4*a[6] + 4*a[7] + 
       3*a[8] + 6*a[9])*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((-8*a[2])/3 + (8*a[3])/3 + 16*a[4] - 4*a[5] + (8*a[6])/3 - (8*a[7])/3 - 
       2*a[8] - 4*a[9])*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     (-8*a[1] - (8*a[2])/3 + (8*a[3])/3 - 4*a[5] + (8*a[6])/3 - (8*a[7])/3 - 
       2*a[8] - 4*a[9])*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     ((-8*a[2])/3 + (8*a[3])/3 - 4*a[5] + (8*a[6])/3 - (8*a[7])/3 - 2*a[8] - 
       4*a[9])*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     ((88*a[2])/3 - (112*a[3])/3 + 12*a[4] + 20*a[5] - (112*a[6])/3 + 
       (112*a[7])/3 - 22*a[8] + 100*a[9] + 6*a[10])*HPL[{0, 0, 0, 1, 1}, 
       1 - u] + ((196*a[2])/3 - (16*a[3])/3 + 32*a[5] - (16*a[6])/3 + 
       (16*a[7])/3 - 22*a[8] + 100*a[9] + 12*a[11])*HPL[{0, 0, 0, 1, 1}, 
       1 - v] + ((112*a[2])/3 - (4*a[3])/3 + 32*a[5] - (88*a[6])/3 + 
       (16*a[7])/3 - 22*a[8] + 100*a[9])*HPL[{0, 0, 0, 1, 1}, 1 - w] + 
     (12*a[2] - 19*a[3] + 4*a[4] + 12*a[5] - 19*a[6] + 19*a[7] - 6*a[8] + 
       44*a[9] + 2*a[10])*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     (24*a[2] - 4*a[3] + 16*a[5] - 4*a[6] + 4*a[7] - 6*a[8] + 44*a[9] + 
       4*a[11])*HPL[{0, 0, 1, 0, 1}, 1 - v] + 
     (19*a[2] + 16*a[5] - 12*a[6] + 4*a[7] - 6*a[8] + 44*a[9])*
      HPL[{0, 0, 1, 0, 1}, 1 - w] + (-16*a[2] - 16*a[3] + 48*a[5] - 44*a[6] + 
       20*a[7] - 18*a[8] + 90*a[9])*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     (-16*a[2] + 16*a[3] + 96*a[5] + 16*a[6] - 16*a[7] - 36*a[8] + 108*a[9])*
      HPL[{0, 0, 1, 1, 1}, 1 - v] + (44*a[2] + 16*a[3] + 72*a[4] + 96*a[5] + 
       16*a[6] - 16*a[7] - 18*a[8] + 90*a[9] + 6*a[10])*
      HPL[{0, 0, 1, 1, 1}, 1 - w] + ((-8*a[2])/3 - (13*a[3])/3 + 14*a[5] - 
       (49*a[6])/3 + (25*a[7])/3 - 3*a[8] + 28*a[9])*
      HPL[{0, 1, 0, 1, 1}, 1 - u] + ((-8*a[2])/3 + (8*a[3])/3 + 30*a[5] + 
       (8*a[6])/3 - (8*a[7])/3 - 9*a[8] + 34*a[9])*HPL[{0, 1, 0, 1, 1}, 
       1 - v] + ((49*a[2])/3 + (8*a[3])/3 + 24*a[4] + 30*a[5] + (8*a[6])/3 - 
       (8*a[7])/3 - 3*a[8] + 28*a[9] + 2*a[10])*HPL[{0, 1, 0, 1, 1}, 1 - w] + 
     ((-2*a[2])/3 - a[3]/3 - a[4] - 4*a[5] - a[6]/3 + a[7]/3 - a[8])*
      M1[u, v, w] + (-a[2]/3 + a[3]/3 + a[5] + a[6]/3 - a[7]/3)*M1[v, u, w] + 
     (-a[2]/3 + a[3]/3 - 3*a[5] - (2*a[6])/3 - a[7]/3 - a[8])*M1[v, w, u] + 
     (-3*a[5] - a[8])*M1[w, u, v] + (a[2]/3 + (2*a[3])/3 + a[5] + 
       (2*a[6])/3 - (2*a[7])/3)*M1[w, v, u] + 
     (a[2]/3 - a[3]/3 - a[6]/3 + a[7]/3 + a[9])*Nt[u, v, w] + 
     (a[2]/3 + (2*a[3])/3 + 2*a[5] + (2*a[6])/3 - (2*a[7])/3 - 2*a[9])*
      HPL[{1}, 1 - u]*Omega2[u, v, w] + ((-4*a[2])/3 + (4*a[3])/3 - 6*a[5] + 
       (4*a[6])/3 - (4*a[7])/3 - 2*a[8] - 2*a[9])*HPL[{1}, 1 - v]*
      Omega2[u, v, w] + ((2*a[2])/3 + a[3]/3 + a[6]/3 - a[7]/3 + 2*a[9])*
      HPL[{1}, 1 - w]*Omega2[u, v, w] + (-a[2]/3 - (2*a[3])/3 - (2*a[6])/3 + 
       (2*a[7])/3 + 2*a[9])*HPL[{1}, 1 - u]*Omega2[v, w, u] + 
     ((-4*a[2])/3 + (4*a[3])/3 + 2*a[5] + (4*a[6])/3 - (4*a[7])/3 - 2*a[9])*
      HPL[{1}, 1 - v]*Omega2[v, w, u] + ((-2*a[2])/3 - a[3]/3 - 8*a[5] - 
       a[6]/3 + a[7]/3 - 2*a[8] - 2*a[9])*HPL[{1}, 1 - w]*Omega2[v, w, u] + 
     (-3*a[2] - 6*a[5] - 2*a[8] - 2*a[9])*HPL[{1}, 1 - u]*Omega2[w, u, v] + 
     ((2*a[2])/3 - (2*a[3])/3 - (2*a[6])/3 + (2*a[7])/3 + 2*a[9])*
      HPL[{1}, 1 - v]*Omega2[w, u, v] + (3*a[3] + 2*a[5] + 3*a[6] - 3*a[7] - 
       2*a[9])*HPL[{1}, 1 - w]*Omega2[w, u, v] + 
     ((4*a[2])/3 - (4*a[3])/3 + 2*a[5] - (4*a[6])/3 + (4*a[7])/3 + a[8] + 
       2*a[9])*Ot[u, v, w] + ((-128*a[2])/9 + (128*a[3])/9 + (128*a[5])/3 + 
       (128*a[6])/9 - (128*a[7])/9 - (64*a[9])/3)*Qep[u, v, w] + 
     ((-64*a[2])/9 + (64*a[3])/9 - (128*a[5])/3 + (64*a[6])/9 - (64*a[7])/9 - 
       32*a[8] - (32*a[9])/3)*Qep[u, w, v] + 
     ((-64*a[2])/3 - 64*a[5] - (32*a[8])/3 - 32*a[9])*Qep[v, u, w] + 
     ((64*a[3])/3 + (64*a[6])/3 - (64*a[7])/3 + (32*a[8])/3 - 32*a[9])*
      Qep[v, w, u] + ((-64*a[2])/9 + (64*a[3])/9 + (64*a[5])/3 + 
       (64*a[6])/9 - (64*a[7])/9 - (32*a[8])/3 - (32*a[9])/3)*Qep[w, u, v] + 
     ((-128*a[2])/9 + (128*a[3])/9 - (256*a[5])/3 + (128*a[6])/9 - 
       (128*a[7])/9 - (64*a[8])/3 - (64*a[9])/3)*Qep[w, v, u] + 
     ((2*a[2])/3 - a[3]/6 + a[5] - a[6]/6 + a[7]/6 + a[8]/2 + a[9])*
      HPL[{1}, 1 - u]^3*\[Zeta][2] + (2*a[2] + 2*a[8] - 2*a[9])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][2] + 
     4*a[5]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][2] + 
     ((2*a[2])/3 - (2*a[3])/3 + a[5] - (2*a[6])/3 + (2*a[7])/3 + a[8]/2 + 
       a[9])*HPL[{1}, 1 - v]^3*\[Zeta][2] + 
     (-2*a[2] + a[3] - a[6] - 2*a[7] - 5*a[8] + 6*a[9])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*\[Zeta][2] + ((2*a[2])/3 - (2*a[3])/3 + 6*a[5] - 
       (2*a[6])/3 + (2*a[7])/3 - 2*a[8] + 8*a[9])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2] - 3*a[5]*HPL[{1}, 1 - v]^2*
      HPL[{1}, 1 - w]*\[Zeta][2] + (a[2] + 2*a[3] + 6*a[5] + 2*a[6] - 
       2*a[7] - 5*a[8] + 6*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      \[Zeta][2] + (-2*a[3] - 3*a[5] - 2*a[6] + 2*a[7] + 2*a[8] - 2*a[9])*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     (a[2]/6 - (2*a[3])/3 + a[5] - (2*a[6])/3 + (2*a[7])/3 + a[8]/2 + a[9])*
      HPL[{1}, 1 - w]^3*\[Zeta][2] + ((16*a[2])/3 - (5*a[3])/6 + 3*a[5] - 
       (5*a[6])/6 + (17*a[7])/6 + a[8]/2 + 7*a[9])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + ((8*a[2])/3 - (8*a[3])/3 - 10*a[5] - 
       (8*a[6])/3 + (8*a[7])/3 - 2*a[8] + 4*a[9])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*\[Zeta][2] + (2*a[2] - 2*a[3] + 22*a[5] - 2*a[6] + 
       2*a[7] - 6*a[8] + 20*a[9])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + ((22*a[2])/3 + (2*a[3])/3 + 22*a[5] + (2*a[6])/3 - 
       (8*a[7])/3 + 6*a[8] + 4*a[9])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + ((10*a[2])/3 - (10*a[3])/3 - a[5] - (10*a[6])/3 + 
       (10*a[7])/3 + (5*a[8])/2 + 5*a[9])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + ((-2*a[2])/3 - (22*a[3])/3 - 4*a[4] - 14*a[5] - 
       (22*a[6])/3 + (22*a[7])/3 - 2*a[8] + 4*a[9])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (2*a[2] + 2*a[3] - 2*a[6] - 4*a[7] - 
       14*a[8] + 20*a[9])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     ((8*a[2])/3 - (8*a[3])/3 + 18*a[5] - (8*a[6])/3 + (8*a[7])/3 + 6*a[8] + 
       4*a[9])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     ((5*a[2])/6 - (16*a[3])/3 - 4*a[4] - a[5] - (16*a[6])/3 + (16*a[7])/3 + 
       a[8]/2 + 7*a[9])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (2*a[2] - (11*a[3])/2 - 8*a[4] - 11*a[5] - (11*a[6])/2 + (11*a[7])/2 - 
       (31*a[8])/2 + 23*a[9])*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (-2*a[2] + 6*a[3] + 3*a[5] + 2*a[6] - 6*a[7] - (27*a[8])/2 + 21*a[9] + 
       4*a[11])*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + 
     ((11*a[2])/2 + 2*a[3] + 3*a[5] - 2*a[6] - 6*a[7] - (31*a[8])/2 + 
       23*a[9])*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2] + 
     ((-32*a[2])/3 + (14*a[3])/3 + 4*a[5] - (16*a[6])/3 - (26*a[7])/3 - 
       16*a[8] + 20*a[9])*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + 
     ((-32*a[2])/3 + (32*a[3])/3 + 24*a[5] + (32*a[6])/3 - (32*a[7])/3 - 
       24*a[8] + 28*a[9])*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     ((16*a[2])/3 + (32*a[3])/3 + 8*a[4] + 24*a[5] + (32*a[6])/3 - 
       (32*a[7])/3 - 16*a[8] + 20*a[9])*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     ((-36*a[2])/5 - (48*a[5])/5 - (24*a[8])/5 - (24*a[9])/5)*HPL[{1}, 1 - u]*
      \[Zeta][2]^2 + ((-24*a[2])/5 + (24*a[3])/5 - (48*a[5])/5 + 
       (24*a[6])/5 - (24*a[7])/5 - (24*a[8])/5 - (24*a[9])/5)*HPL[{1}, 1 - v]*
      \[Zeta][2]^2 + (4*a[3] - 4*a[4] - (72*a[5])/5 + (36*a[6])/5 - 
       (36*a[7])/5 - (24*a[8])/5 - (24*a[9])/5 - (4*a[10])/5)*HPL[{1}, 1 - w]*
      \[Zeta][2]^2 + (a[1] + (8*a[2])/3 + (4*a[3])/3 + (4*a[6])/3 - a[7]/3 + 
       a[8] + 3*a[9])*HPL[{1}, 1 - u]^2*\[Zeta][3] + 
     (6*a[5] - 2*a[6] + 4*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][3] + 
     ((8*a[2])/3 - (8*a[3])/3 - (8*a[6])/3 + (8*a[7])/3 + 4*a[9])*
      HPL[{1}, 1 - v]^2*\[Zeta][3] + (-2*a[2] - 2*a[3] + 4*a[5] + 2*a[7] + 
       2*a[8])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*\[Zeta][3] + 
     (2*a[2] + 8*a[5] + 4*a[9])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][3] + 
     ((-10*a[2])/3 - (8*a[3])/3 - 2*a[4] - (8*a[6])/3 + (8*a[7])/3 + a[8] + 
       3*a[9])*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     ((2*a[2])/3 - (14*a[3])/3 - 4*a[4] - 6*a[5] - (2*a[6])/3 + (8*a[7])/3 + 
       10*a[8] - 6*a[9] - 2*a[11])*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     ((2*a[2])/3 - (8*a[3])/3 + 4*a[4] + 8*a[5] - (8*a[6])/3 + (14*a[7])/3 + 
       8*a[8] - 4*a[9] + 2*a[11])*HPL[{0, 1}, 1 - v]*\[Zeta][3] + 
     ((-4*a[2])/3 - (20*a[3])/3 + 8*a[5] - (8*a[6])/3 + (14*a[7])/3 + 
       10*a[8] - 6*a[9] - 2*a[11])*HPL[{0, 1}, 1 - w]*\[Zeta][3] + 
     (-4*a[2] + 16*a[3] + 16*a[4] + 4*a[5] + 24*a[6] - 20*a[7] + 4*a[8] - 
       56*a[9] + 2*a[10] - 4*a[11])*\[Zeta][2]*\[Zeta][3] + 
     (8*a[1] + 46*a[2] - 46*a[3] - 16*a[4] - 54*a[6] + 60*a[7] + 60*a[8] + 
       40*a[9] - a[10] - 2*a[11])*\[Zeta][5]
 

AuvwCoproductEntries[yw] = ((5*a[2])/24 - a[3]/12 - a[4]/4 - a[5]/4 - 
       a[6]/12 + a[7]/12 + a[8]/8 + a[9]/8)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]^2 + ((13*a[2])/24 - (5*a[3])/12 + a[4]/4 + a[5]/2 - 
       (5*a[6])/12 + (5*a[7])/12 + (3*a[8])/8 + a[9]/8)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^3 + (-a[2]/6 + a[3]/6 + a[6]/6 - a[7]/6 - a[9]/2)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w] - 
     (a[5]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w])/2 + 
     ((3*a[2])/8 + a[4]/4 + (3*a[5])/4 + a[8]/8 + (3*a[9])/8)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2 + 
     (-a[2]/6 - a[3]/12 - a[6]/12 + a[7]/12 - a[9]/2)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2 + 
     (-a[2]/6 + a[3]/6 - (3*a[5])/2 + a[6]/6 - a[7]/6 - a[9]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2 + 
     ((-5*a[2])/24 + a[3]/12 - a[4]/4 + a[5]/2 + a[6]/12 - a[7]/12 - a[8]/8 + 
       (3*a[9])/8)*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2 + 
     (-a[3]/4 - a[4]/4 - a[5]/2 - a[6]/4 + a[7]/4 + a[9]/4)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]^3 + ((7*a[2])/12 - a[3]/12 + a[4]/4 + a[5] - a[6]/12 + 
       a[7]/12 + a[8]/4 + a[9]/4)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3 + 
     (a[1]/6 - (7*a[2])/6 + a[3]/6 - a[5] + a[6]/6 - a[7]/6 - a[8]/2 - a[9])*
      HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u] + 
     (a[2] + a[3]/2 + (3*a[6])/2 - a[7] + (3*a[8])/2 - 3*a[9])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u] + 
     ((79*a[2])/36 - (29*a[3])/18 + a[4]/6 - (5*a[5])/6 - (29*a[6])/18 + 
       (29*a[7])/18 + (37*a[8])/12 - (7*a[9])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     ((13*a[2])/12 - (5*a[3])/6 + a[4]/2 + a[5] - (5*a[6])/6 + (5*a[7])/6 + 
       (3*a[8])/4 + a[9]/4)*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u] + 
     (-a[2] - a[8] + a[9])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u] + (-a[2]/3 + a[3]/3 - 3*a[5] + a[6]/3 - a[7]/3 + 
       a[8] - 4*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u] + ((-4*a[2])/3 + (4*a[3])/3 - a[5]/2 + (4*a[6])/3 - 
       (4*a[7])/3 - a[8])*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u] + ((3*a[2])/4 - (2*a[3])/3 - a[4]/6 - a[5]/2 - 
       (2*a[6])/3 + (2*a[7])/3 + a[8]/4 + (17*a[9])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (-a[2]/3 - a[3]/6 - a[5]/2 - a[6]/6 + a[7]/6 - a[9])*HPL[{1}, 1 - v]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u] + 
     (-a[3]/2 - a[4]/2 - a[5] - a[6]/2 + a[7]/2 + a[9]/2)*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - u] + ((13*a[2])/6 - (2*a[3])/3 + (3*a[5])/2 - 
       (2*a[6])/3 + (7*a[7])/6 + a[8] + 2*a[9])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]^2 + (a[2] - (3*a[3])/2 + 2*a[4] + (5*a[5])/2 - 
       (3*a[6])/2 + (3*a[7])/2 + a[8]/2 + a[9] + a[10]/4)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]^2 + ((-13*a[2])/6 + (2*a[3])/3 - a[4] - (3*a[5])/2 + 
       (2*a[6])/3 - (2*a[7])/3 - a[8]/2 - 2*a[9])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - u]^2 + (-a[1]/6 + (5*a[2])/12 - a[3]/6 - a[4]/2 - 
       a[5]/2 - a[6]/6 + a[7]/6 + a[8]/4 + a[9]/4)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - v] + ((71*a[2])/36 - (14*a[3])/9 - a[4]/6 + a[5]/3 - 
       (5*a[6])/9 + (37*a[7])/18 + (35*a[8])/12 - (7*a[9])/4)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     (a[2] - a[3] - 3*a[5] - a[6] + a[7] + (3*a[8])/2 - 3*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v] + 
     ((-2*a[2])/3 + (2*a[3])/3 - a[5] + (2*a[6])/3 - (2*a[7])/3 - a[8]/2 - 
       a[9])*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v] + 
     ((-4*a[2])/3 + a[3]/3 + a[6]/3 - a[7]/3 - a[8])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (-a[2]/3 + a[3]/3 - 3*a[5] + a[6]/3 - a[7]/3 + a[8] - 4*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (-a[2] + a[3] + (3*a[5])/2 + a[6] - a[7] - a[8] + a[9])*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v] + 
     (-a[2]/3 + a[3]/3 - 2*a[5] + a[6]/3 - a[7]/3 - a[9])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v] + 
     ((41*a[2])/36 - a[3]/18 + a[4]/6 + (23*a[5])/6 - a[6]/18 + a[7]/18 + 
       (5*a[8])/12 + (17*a[9])/12)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - v] + ((7*a[2])/6 - a[3]/6 + a[4]/2 + 2*a[5] - a[6]/6 + 
       a[7]/6 + a[8]/2 + a[9]/2)*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v] + 
     ((-41*a[2])/18 - (14*a[3])/9 - (11*a[4])/3 - (29*a[5])/3 + (4*a[6])/9 + 
       (5*a[7])/9 + a[8]/6 - (7*a[9])/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + ((119*a[2])/18 + (2*a[3])/9 - a[4]/3 + 
       (17*a[5])/3 + (2*a[6])/9 - (2*a[7])/9 + (23*a[8])/6 - (7*a[9])/2 - 
       a[10]/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((-5*a[2])/3 + (2*a[3])/3 - 3*a[5] + (2*a[6])/3 - (2*a[7])/3 - a[8] - 
       2*a[9])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((2*a[2])/3 - a[3]/6 - a[4] - (7*a[5])/2 - a[6]/6 + (2*a[7])/3 - 
       a[8]/2 + a[9])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + 
     ((5*a[2])/3 - a[3]/6 + 3*a[4] + (7*a[5])/2 - a[6]/6 + a[7]/6 + a[8] + 
       2*a[9] + a[10]/4)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2 + 
     (a[2]/6 + (4*a[3])/3 + a[4] + (5*a[5])/2 + (4*a[6])/3 - (4*a[7])/3 + 
       a[8]/2 - 2*a[9])*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2 + 
     (a[1]/6 + (3*a[2])/4 + a[4]/2 + (3*a[5])/2 + a[8]/4 + (3*a[9])/4)*
      HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w] + 
     ((2*a[2])/3 - (2*a[3])/3 - (5*a[6])/3 + (7*a[7])/6 + a[8]/2)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((2*a[2])/3 - (2*a[3])/3 - 3*a[5] - (2*a[6])/3 + (2*a[7])/3 + a[8]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w] + 
     ((-5*a[2])/12 + a[3]/6 - a[4]/2 + a[5] + a[6]/6 - a[7]/6 - a[8]/4 + 
       (3*a[9])/4)*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w] + 
     ((2*a[2])/3 - a[3]/2 + a[4]/6 + a[5] - a[6]/2 + a[7]/2 + (11*a[9])/6)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((-7*a[2])/3 + a[3]/3 - 3*a[5] + a[6]/3 - a[7]/3 - a[8] - 4*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w] + 
     ((5*a[2])/18 + (7*a[3])/18 - a[4]/6 + (13*a[5])/6 + (7*a[6])/18 - 
       (7*a[7])/18 - a[8]/6 + (11*a[9])/6)*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w] - 2*a[5]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1}, 1 - w] + (3*a[5]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w])/2 + ((-7*a[2])/6 + (2*a[3])/3 - a[5] + 
       (2*a[6])/3 - (2*a[7])/3 - a[8]/2 - a[9])*HPL[{1}, 1 - w]^3*
      HPL[{0, 1}, 1 - w] + ((7*a[2])/2 + (5*a[3])/3 + (11*a[4])/3 + 6*a[5] + 
       (5*a[6])/3 - (8*a[7])/3 + (3*a[8])/2 - (19*a[9])/6)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] + 
     ((-8*a[2])/3 + (2*a[3])/3 - 4*a[4] - 3*a[5] + (2*a[6])/3 - (2*a[7])/3 + 
       a[8] - 4*a[9] - a[10]/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + ((-17*a[2])/3 - a[3] - (11*a[4])/3 - 9*a[5] - 
       a[6] + a[7] - 3*a[8] - a[9]/3)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] + ((-14*a[2])/3 - a[3]/3 - 8*a[5] - (7*a[6])/3 + 
       (4*a[7])/3 + a[8] - 4*a[9])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((-91*a[2])/18 + (20*a[3])/9 + (7*a[4])/3 - 
       (13*a[5])/3 + (20*a[6])/9 - (20*a[7])/9 - (13*a[8])/6 - (19*a[9])/6 + 
       a[10]/2)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     ((26*a[2])/9 + (13*a[3])/9 + (11*a[4])/3 + (25*a[5])/3 + (13*a[6])/9 - 
       (13*a[7])/9 + (2*a[8])/3 - a[9]/3)*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1}, 1 - w] + ((7*a[2])/3 + a[3]/6 + a[4] + (3*a[5])/2 + 
       a[6]/6 + a[7]/3 + a[8]/2 - a[9])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - w]^2 + (-a[2] + (3*a[3])/2 + 2*a[4] - a[5]/2 + 
       (3*a[6])/2 - (3*a[7])/2 - a[8]/2 - a[9] + a[10]/4)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]^2 + ((5*a[2])/3 - (2*a[3])/3 + (5*a[5])/2 - 
       (2*a[6])/3 + (2*a[7])/3 + a[8] + a[9])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]^2 + ((-20*a[2])/3 + (2*a[3])/3 - 4*a[5] + 
       (2*a[6])/3 - (5*a[7])/3 - a[8] - 7*a[9])*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 1}, 1 - u] + ((2*a[2])/3 + (16*a[3])/3 - 2*a[4] + 
       (16*a[6])/3 - (16*a[7])/3 + 6*a[8] - 12*a[9] - a[10])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((31*a[2])/36 - (5*a[3])/18 + (7*a[4])/6 + (7*a[5])/6 - (5*a[6])/18 + 
       (5*a[7])/18 + (7*a[8])/12 + a[9]/4)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - u] + ((-8*a[2])/3 - (4*a[3])/3 - 2*a[4] - 8*a[5] - 
       (4*a[6])/3 + (4*a[7])/3 - 2*a[8] + 2*a[9])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((-10*a[2])/3 + (4*a[3])/3 - 8*a[5] + (4*a[6])/3 - (4*a[7])/3 - 2*a[8] - 
       2*a[9])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u] + 
     ((25*a[2])/12 + (5*a[4])/6 + (9*a[5])/2 + (5*a[8])/4 + (5*a[9])/12)*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((4*a[2])/3 + (20*a[3])/3 - 2*a[4] - 4*a[5] + (20*a[6])/3 - 
       (20*a[7])/3 + 4*a[8] - 18*a[9] - a[10])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u] + ((79*a[2])/18 + (7*a[3])/9 - (17*a[4])/3 - 
       (17*a[5])/3 + (7*a[6])/9 - (7*a[7])/9 + (7*a[8])/6 - (7*a[9])/2 - 
       a[10])*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((-7*a[2])/6 + (4*a[3])/3 - (19*a[4])/3 + a[5] + (4*a[6])/3 - 
       (4*a[7])/3 + (5*a[8])/2 - (19*a[9])/6 - a[10])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - u] + (-a[1] + (71*a[2])/36 - (5*a[3])/9 + 
       (5*a[4])/6 + (10*a[5])/3 - (5*a[6])/9 + (5*a[7])/9 + (17*a[8])/12 + 
       a[9]/4)*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v] + 
     (-10*a[2] - 2*a[3] - 2*a[4] - 9*a[5] + 2*a[7] + 4*a[8] - 12*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     ((-11*a[2])/3 + (8*a[3])/3 - 6*a[5] + (8*a[6])/3 - (8*a[7])/3 - a[8] - 
       7*a[9])*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((-10*a[2])/3 + (4*a[3])/3 - 4*a[5] + (4*a[6])/3 - (4*a[7])/3 - 2*a[8] - 
       2*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (2*a[2] + 2*a[4] + 2*a[5] + 2*a[9])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1}, 1 - v] + ((5*a[2])/36 - (5*a[3])/9 - (5*a[4])/6 + 
       a[5]/3 - (5*a[6])/9 + (5*a[7])/9 + (5*a[8])/12 + (5*a[9])/12)*
      HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v] + 
     ((-25*a[2])/18 - (34*a[3])/9 + (5*a[4])/3 + (5*a[5])/3 - (16*a[6])/9 + 
       (16*a[7])/9 + (17*a[8])/6 - (7*a[9])/2)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v] + ((-32*a[2])/3 - (4*a[3])/3 - 7*a[5] + 
       (14*a[6])/3 - (2*a[7])/3 + 4*a[8] - 18*a[9])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + ((-163*a[2])/18 + (2*a[3])/9 - (5*a[4])/3 - 
       (25*a[5])/3 - (16*a[6])/9 + (16*a[7])/9 + (5*a[8])/6 - (19*a[9])/6)*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v] + 
     (a[2] - (5*a[3])/6 - (5*a[4])/6 - (5*a[6])/6 + (5*a[7])/6 - a[8] + 
       (23*a[9])/6)*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-16*a[2])/3 - (2*a[3])/3 - 7*a[5] - (2*a[6])/3 + (2*a[7])/3 + 2*a[8] - 
       10*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w] + 
     ((53*a[2])/18 - (5*a[3])/18 + (5*a[4])/6 + (11*a[5])/3 - (5*a[6])/18 + 
       (5*a[7])/18 - a[8]/6 + (23*a[9])/6)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - w] + ((4*a[2])/3 + (2*a[3])/3 + 2*a[4] + 2*a[5] + 
       (8*a[6])/3 - (2*a[7])/3 + 2*a[8] - 4*a[9])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((-10*a[2])/3 - (2*a[3])/3 - 2*a[4] - 8*a[5] - (2*a[6])/3 + (2*a[7])/3 - 
       4*a[9])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] + 
     ((-14*a[2])/3 + (8*a[3])/3 - 4*a[5] + (8*a[6])/3 - (8*a[7])/3 - 2*a[8] - 
       4*a[9])*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w] + 
     ((-16*a[2])/3 - (7*a[3])/3 - (5*a[4])/3 - 5*a[5] - a[6]/3 + (7*a[7])/3 - 
       (7*a[9])/3 + 2*a[11])*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w] + 
     ((-13*a[2])/9 - (11*a[3])/9 + (5*a[4])/3 - (5*a[5])/3 - (29*a[6])/9 + 
       (11*a[7])/9 + (5*a[8])/3 - (7*a[9])/3 + 2*a[11])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - w] + ((-32*a[2])/3 + (2*a[3])/3 - 7*a[5] + 
       (2*a[6])/3 - (2*a[7])/3 + 4*a[8] - 18*a[9] - 2*a[11])*
      HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] - a[1]*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - u] + ((-2*a[2])/3 - (4*a[3])/3 - 2*a[4] - 6*a[5] - 
       (13*a[6])/3 + (10*a[7])/3 - a[8] + 6*a[9])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     ((-125*a[2])/36 + (55*a[3])/18 - (5*a[4])/6 + (7*a[5])/6 + 
       (55*a[6])/18 - (55*a[7])/18 - (65*a[8])/12 + (13*a[9])/4)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((8*a[2])/3 + (4*a[3])/3 + 2*a[4] + 2*a[5] + (4*a[6])/3 - (4*a[7])/3 + 
       2*a[8] - 2*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + ((8*a[2])/3 - (2*a[3])/3 + 6*a[5] - 
       (2*a[6])/3 + (2*a[7])/3 + 6*a[9])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - u] + ((-5*a[2])/4 + (4*a[3])/3 + (5*a[4])/6 + 
       (5*a[5])/2 + (4*a[6])/3 - (4*a[7])/3 - (3*a[8])/4 - (19*a[9])/12)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u] + 
     ((-7*a[2])/3 + (7*a[3])/3 - 6*a[5] + (22*a[6])/3 - (13*a[7])/3 + 
       2*a[8] - 14*a[9])*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     ((229*a[2])/18 - (5*a[3])/9 + (19*a[4])/3 + (67*a[5])/3 - (32*a[6])/9 + 
       (23*a[7])/9 + (19*a[8])/6 + (21*a[9])/2)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + ((-25*a[2])/6 - (20*a[3])/3 - (19*a[4])/3 - 
       9*a[5] - (17*a[6])/3 + (26*a[7])/3 + (5*a[8])/2 + (29*a[9])/6)*
      HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u] + 
     ((-85*a[2])/36 + (16*a[3])/9 + (5*a[4])/6 - (2*a[5])/3 - (2*a[6])/9 - 
       (25*a[7])/9 - (55*a[8])/12 + (13*a[9])/4)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - v] + (2*a[2] - 2*a[3] + 2*a[4] + 8*a[5] - 2*a[6] + 
       2*a[7] + a[8] + 6*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] - 2*a[5]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - v] + ((8*a[2])/3 - (8*a[3])/3 + 4*a[5] - 
       (8*a[6])/3 + (8*a[7])/3 + 6*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + (-2*a[2] - 2*a[3] - 2*a[4] - 10*a[5] - 2*a[6] + 
       2*a[7] - 2*a[9])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + ((-115*a[2])/36 + (7*a[3])/9 - (5*a[4])/6 - 
       (23*a[5])/3 + (7*a[6])/9 - (7*a[7])/9 - (19*a[8])/12 - (19*a[9])/12)*
      HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v] + 
     ((-67*a[2])/18 - (58*a[3])/9 + (5*a[4])/3 - (28*a[5])/3 - (58*a[6])/9 + 
       (58*a[7])/9 - (19*a[8])/6 + (21*a[9])/2 + a[10])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + ((-10*a[2])/3 - (8*a[3])/3 - 12*a[4] - 
       16*a[5] - (8*a[6])/3 + (8*a[7])/3 + 2*a[8] - 14*a[9] - a[10])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     ((191*a[2])/18 - (58*a[3])/9 - (17*a[4])/3 + (26*a[5])/3 - (58*a[6])/9 + 
       (58*a[7])/9 + (53*a[8])/6 + (29*a[9])/6 - a[10])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - v] + ((-4*a[2])/3 + a[3]/2 - (5*a[4])/6 - 4*a[5] + 
       a[6]/2 - a[7]/2 - (19*a[9])/6)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - w] + ((23*a[2])/3 - (14*a[3])/3 + 6*a[5] - 
       (14*a[6])/3 + (14*a[7])/3 + 5*a[8] + 8*a[9])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w] + 
     ((11*a[2])/18 - (17*a[3])/18 + (5*a[4])/6 - (13*a[5])/3 - (17*a[6])/18 + 
       (17*a[7])/18 + (5*a[8])/6 - (19*a[9])/6)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - w] + ((-10*a[2])/3 - (2*a[3])/3 - 2*a[4] - 2*a[5] - 
       (2*a[6])/3 + (2*a[7])/3 - 2*a[8])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((4*a[2])/3 + (2*a[3])/3 + 2*a[4] - 4*a[5] + 
       (2*a[6])/3 - (2*a[7])/3)*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((50*a[2])/3 - (13*a[3])/3 + (19*a[4])/3 + 
       16*a[5] - (13*a[6])/3 + (13*a[7])/3 + 10*a[8] + (11*a[9])/3)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w] + 
     ((17*a[2])/9 - (77*a[3])/9 - (19*a[4])/3 - (50*a[5])/3 - (77*a[6])/9 + 
       (77*a[7])/9 + (11*a[8])/3 + (11*a[9])/3)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - w] + ((-34*a[2])/3 - (8*a[3])/3 - 16*a[5] - 
       (8*a[6])/3 + (8*a[7])/3 + 6*a[8] - 18*a[9])*HPL[{0, 1}, 1 - w]*
      HPL[{0, 1, 1}, 1 - w] + ((-38*a[2])/3 + (2*a[3])/3 - 4*a[5] + 
       (2*a[6])/3 - (2*a[7])/3 - 2*a[8] - 4*a[9])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - u] + ((-8*a[2])/3 + (8*a[3])/3 + 6*a[4] - 
       6*a[5] + (8*a[6])/3 - (8*a[7])/3 - 2*a[8])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u] + ((2*a[2])/3 + (4*a[3])/3 + 2*a[4] + 2*a[5] + 
       (4*a[6])/3 - (4*a[7])/3)*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-4*a[1] + 2*a[4] + 2*a[5])*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v] + 
     ((-8*a[2])/3 + (20*a[3])/3 - 6*a[5] + (8*a[6])/3 - (8*a[7])/3 - 2*a[8] - 
       4*a[9])*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-4*a[2] - 2*a[4] - 6*a[5] - 2*a[8])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 0, 1}, 1 - v] + (4*a[1] - (10*a[2])/3 - (2*a[3])/3 - 
       2*a[4] - 6*a[5] - (2*a[6])/3 + (2*a[7])/3 - 2*a[8])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 0, 1}, 1 - w] + ((4*a[2])/3 + (14*a[3])/3 + 2*a[4] + 
       (2*a[6])/3 - (2*a[7])/3)*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w] + 
     ((-14*a[2])/3 + (8*a[3])/3 - 4*a[5] + (8*a[6])/3 - (8*a[7])/3 - 2*a[8] - 
       4*a[9])*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w] + 
     (2*a[3] - 6*a[5] + 2*a[6] - 2*a[8])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - u] + (-4*a[2] - 2*a[3] - 6*a[4] - 16*a[5] - 
       2*a[6] + 2*a[7] - 12*a[8] + 16*a[9] + a[10])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u] + ((44*a[2])/3 + (4*a[3])/3 + 10*a[4] + 
       24*a[5] + (4*a[6])/3 - (4*a[7])/3 + 6*a[8] + 4*a[9])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - u] + ((64*a[2])/3 + (2*a[3])/3 + 10*a[4] + 
       28*a[5] - (10*a[6])/3 - (8*a[7])/3 - 2*a[8] + 16*a[9])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - v] + (-4*a[2] - 2*a[3] - 12*a[4] - 8*a[5] - 
       2*a[6] + 2*a[7] - 2*a[8] - a[10])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v] + ((-26*a[2])/3 - (16*a[3])/3 - 10*a[4] - 
       20*a[5] - (16*a[6])/3 + (16*a[7])/3 - 4*a[8] + 4*a[9])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - v] + ((-46*a[2])/3 - (8*a[3])/3 - 10*a[4] - 
       16*a[5] - (8*a[6])/3 + (2*a[7])/3 - 4*a[8] + 4*a[9])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1}, 1 - w] + (12*a[2] - 4*a[3] - 2*a[4] + 18*a[5] - 
       4*a[6] + 4*a[7] + 6*a[8] + 4*a[9] - a[10])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - w] + (-2*a[2] - 6*a[5] - 2*a[8])*HPL[{1}, 1 - w]*
      HPL[{0, 0, 1, 1}, 1 - w] + (4*a[1] + 7*a[2] - a[3] + 6*a[5] - a[6] + 
       a[7] + 3*a[8] + 6*a[9])*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-4*a[2] + 6*a[4] + 18*a[5] + 4*a[6] - 4*a[7] - 6*a[8])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + (-2*a[2] - 4*a[3] - 6*a[4] - 6*a[5] - 
       4*a[6] + 4*a[7])*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-12*a[2] + 12*a[3] - 6*a[4] - 6*a[5] + 12*a[6] - 12*a[7] - 12*a[8])*
      HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (4*a[2] - 4*a[3] + 12*a[5] - 4*a[6] + 4*a[7] + 3*a[8] + 6*a[9])*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (12*a[2] + 6*a[4] + 18*a[5] + 6*a[8])*HPL[{1}, 1 - w]*
      HPL[{0, 1, 1, 1}, 1 - v] + (10*a[2] + 2*a[3] + 6*a[4] + 18*a[5] + 
       2*a[6] - 2*a[7] + 6*a[8])*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w] + 
     (-4*a[2] - 2*a[3] - 6*a[4] - 2*a[6] + 2*a[7])*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - w] + (7*a[2] - 4*a[3] + 6*a[5] - 4*a[6] + 
       4*a[7] + 3*a[8] + 6*a[9])*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w] + 
     ((-14*a[2])/3 + (8*a[3])/3 + 16*a[4] - 4*a[5] + (8*a[6])/3 - 
       (8*a[7])/3 - 2*a[8] - 4*a[9])*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     (-8*a[1] - (14*a[2])/3 + (8*a[3])/3 - 4*a[5] + (8*a[6])/3 - (8*a[7])/3 - 
       2*a[8] - 4*a[9])*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     ((-14*a[2])/3 + (8*a[3])/3 - 4*a[5] + (8*a[6])/3 - (8*a[7])/3 - 2*a[8] - 
       4*a[9])*HPL[{0, 0, 0, 0, 1}, 1 - w] + 
     ((22*a[2])/3 - (112*a[3])/3 + 12*a[4] + 20*a[5] - (112*a[6])/3 + 
       (112*a[7])/3 - 22*a[8] + 100*a[9] + 6*a[10])*HPL[{0, 0, 0, 1, 1}, 
       1 - u] + ((190*a[2])/3 - (4*a[3])/3 + 32*a[5] - (88*a[6])/3 + 
       (16*a[7])/3 - 22*a[8] + 100*a[9])*HPL[{0, 0, 0, 1, 1}, 1 - v] + 
     ((178*a[2])/3 - (16*a[3])/3 + 32*a[5] - (16*a[6])/3 + (16*a[7])/3 - 
       22*a[8] + 100*a[9] + 12*a[11])*HPL[{0, 0, 0, 1, 1}, 1 - w] + 
     (2*a[2] - 19*a[3] + 4*a[4] + 12*a[5] - 19*a[6] + 19*a[7] - 6*a[8] + 
       44*a[9] + 2*a[10])*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     (25*a[2] + 16*a[5] - 12*a[6] + 4*a[7] - 6*a[8] + 44*a[9])*
      HPL[{0, 0, 1, 0, 1}, 1 - v] + (30*a[2] - 4*a[3] + 16*a[5] - 4*a[6] + 
       4*a[7] - 6*a[8] + 44*a[9] + 4*a[11])*HPL[{0, 0, 1, 0, 1}, 1 - w] + 
     (14*a[2] - 16*a[3] + 48*a[5] - 44*a[6] + 20*a[7] - 18*a[8] + 90*a[9])*
      HPL[{0, 0, 1, 1, 1}, 1 - u] + (26*a[2] + 16*a[3] + 72*a[4] + 96*a[5] + 
       16*a[6] - 16*a[7] - 18*a[8] + 90*a[9] + 6*a[10])*
      HPL[{0, 0, 1, 1, 1}, 1 - v] + (68*a[2] + 16*a[3] + 96*a[5] + 16*a[6] - 
       16*a[7] - 36*a[8] + 108*a[9])*HPL[{0, 0, 1, 1, 1}, 1 - w] + 
     ((19*a[2])/3 - (13*a[3])/3 + 14*a[5] - (49*a[6])/3 + (25*a[7])/3 - 
       3*a[8] + 28*a[9])*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     ((28*a[2])/3 + (8*a[3])/3 + 24*a[4] + 30*a[5] + (8*a[6])/3 - 
       (8*a[7])/3 - 3*a[8] + 28*a[9] + 2*a[10])*HPL[{0, 1, 0, 1, 1}, 1 - v] + 
     ((73*a[2])/3 + (8*a[3])/3 + 30*a[5] + (8*a[6])/3 - (8*a[7])/3 - 9*a[8] + 
       34*a[9])*HPL[{0, 1, 0, 1, 1}, 1 - w] - 
     8*a[1]*HPL[{0, 1, 1, 1, 1}, 1 - u] + 
     ((-5*a[2])/3 - a[3]/3 - a[4] - 4*a[5] - a[6]/3 + a[7]/3 - a[8])*
      M1[u, v, w] + ((2*a[2])/3 + a[3]/3 + a[4] + a[5] + a[6]/3 - a[7]/3)*
      M1[v, u, w] + ((-4*a[2])/3 + a[3]/3 - a[4] - 3*a[5] + a[6]/3 - a[7]/3 - 
       a[8])*M1[v, w, u] + (-2*a[2] - a[4] - 3*a[5] - a[8])*M1[w, u, v] + 
     (a[2]/3 + (2*a[3])/3 + a[4] + a[5] - a[6]/3 - (2*a[7])/3)*M1[w, v, u] + 
     (a[2]/3 - a[3]/3 - a[6]/3 + a[7]/3 + a[9])*Nt[u, v, w] + 
     ((-2*a[2])/3 + (2*a[3])/3 + 2*a[4] + 2*a[5] + (2*a[6])/3 - (2*a[7])/3 - 
       2*a[9])*HPL[{1}, 1 - u]*Omega2[u, v, w] + 
     ((-10*a[2])/3 + (7*a[3])/3 - 2*a[4] - 6*a[5] + (7*a[6])/3 - (7*a[7])/3 - 
       2*a[8] - 2*a[9])*HPL[{1}, 1 - v]*Omega2[u, v, w] + 
     ((2*a[2])/3 - (2*a[3])/3 - (2*a[6])/3 + (2*a[7])/3 + 2*a[9])*
      HPL[{1}, 1 - w]*Omega2[u, v, w] + ((2*a[2])/3 - (2*a[3])/3 - 
       (2*a[6])/3 + (2*a[7])/3 + 2*a[9])*HPL[{1}, 1 - u]*Omega2[v, w, u] + 
     ((2*a[2])/3 + a[3]/3 + 2*a[4] + a[6]/3 - a[7]/3 - 2*a[9])*
      HPL[{1}, 1 - v]*Omega2[v, w, u] + ((-14*a[2])/3 + (2*a[3])/3 - 2*a[4] - 
       6*a[5] + (2*a[6])/3 - (2*a[7])/3 - 2*a[8] - 2*a[9])*HPL[{1}, 1 - w]*
      Omega2[v, w, u] + (-4*a[2] - 2*a[4] - 6*a[5] - 2*a[8] - 2*a[9])*
      HPL[{1}, 1 - u]*Omega2[w, u, v] + ((2*a[2])/3 + a[3]/3 + a[6]/3 - 
       a[7]/3 + 2*a[9])*HPL[{1}, 1 - v]*Omega2[w, u, v] + 
     (2*a[3] + 2*a[4] + 2*a[5] + 2*a[6] - 2*a[7] - 2*a[9])*HPL[{1}, 1 - w]*
      Omega2[w, u, v] + ((7*a[2])/3 - (4*a[3])/3 + 2*a[5] - (4*a[6])/3 + 
       (4*a[7])/3 + a[8] + 2*a[9])*Ot[u, v, w] + 
     ((-32*a[2])/9 + (128*a[3])/9 + (64*a[4])/3 + (128*a[5])/3 + 
       (128*a[6])/9 - (128*a[7])/9 - (32*a[8])/3 - (32*a[9])/3)*
      Qep[u, v, w] + ((-448*a[2])/9 + (64*a[3])/9 - (64*a[4])/3 - 
       (128*a[5])/3 + (64*a[6])/9 - (64*a[7])/9 - (64*a[8])/3 - (64*a[9])/3)*
      Qep[u, w, v] + ((-160*a[2])/3 - (64*a[4])/3 - 64*a[5] - 32*a[8] - 
       (32*a[9])/3)*Qep[v, u, w] + ((64*a[3])/3 + (64*a[4])/3 + (64*a[6])/3 - 
       (64*a[7])/3 - (64*a[9])/3)*Qep[v, w, u] + 
     ((32*a[2])/9 + (64*a[3])/9 + (64*a[4])/3 + (64*a[5])/3 + (64*a[6])/9 - 
       (64*a[7])/9 + (32*a[8])/3 - 32*a[9])*Qep[w, u, v] + 
     ((-224*a[2])/9 + (128*a[3])/9 - (64*a[4])/3 - (256*a[5])/3 + 
       (128*a[6])/9 - (128*a[7])/9 - (32*a[8])/3 - 32*a[9])*Qep[w, v, u] + 
     (-a[1]/3 + (7*a[2])/6 - a[3]/6 + a[5] - a[6]/6 + a[7]/6 + a[8]/2 + a[9])*
      HPL[{1}, 1 - u]^3*\[Zeta][2] + (-2*a[2] + a[3] - a[6] - 2*a[7] - 
       5*a[8] + 6*a[9])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][2] + 
     (-2*a[2] + 2*a[3] + 6*a[5] + 2*a[6] - 2*a[7] - 5*a[8] + 6*a[9])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][2] + 
     ((2*a[2])/3 - (2*a[3])/3 + a[5] - (2*a[6])/3 + (2*a[7])/3 + a[8]/2 + 
       a[9])*HPL[{1}, 1 - v]^3*\[Zeta][2] + (2*a[2] + 2*a[8] - 2*a[9])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][2] + 
     ((2*a[2])/3 - (2*a[3])/3 + 6*a[5] - (2*a[6])/3 + (2*a[7])/3 - 2*a[8] + 
       8*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2] + 
     (2*a[2] - 2*a[3] - 3*a[5] - 2*a[6] + 2*a[7] + 2*a[8] - 2*a[9])*
      HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][2] + 
     4*a[5]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*\[Zeta][2] - 
     3*a[5]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][2] + 
     ((7*a[2])/6 - (2*a[3])/3 + a[5] - (2*a[6])/3 + (2*a[7])/3 + a[8]/2 + 
       a[9])*HPL[{1}, 1 - w]^3*\[Zeta][2] + 
     ((59*a[2])/6 - (5*a[3])/6 + 3*a[5] - (5*a[6])/6 + (17*a[7])/6 + a[8]/2 + 
       7*a[9])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     ((-16*a[2])/3 - (14*a[3])/3 - 8*a[4] - 10*a[5] - (14*a[6])/3 + 
       (14*a[7])/3 - 14*a[8] + 20*a[9])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      \[Zeta][2] + (14*a[2] + 8*a[4] + 22*a[5] + 6*a[8] + 4*a[9])*
      HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     ((28*a[2])/3 + (14*a[3])/3 + 8*a[4] + 32*a[5] + (2*a[6])/3 - 
       (20*a[7])/3 - 6*a[8] + 20*a[9])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + ((4*a[2])/3 - (16*a[3])/3 - 4*a[4] - a[5] - (16*a[6])/3 + 
       (16*a[7])/3 + a[8]/2 + 7*a[9])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      \[Zeta][2] + ((-14*a[2])/3 - (16*a[3])/3 - 8*a[4] - 14*a[5] - 
       (16*a[6])/3 + (16*a[7])/3 - 2*a[8] + 4*a[9])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - v]*\[Zeta][2] + (-4*a[2] - 2*a[3] - 8*a[4] - 10*a[5] - 
       2*a[6] - 2*a[8] + 4*a[9])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
      \[Zeta][2] + ((32*a[2])/3 - (14*a[3])/3 + 4*a[4] + 18*a[5] - 
       (14*a[6])/3 + (14*a[7])/3 + 6*a[8] + 4*a[9])*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + ((35*a[2])/6 - (10*a[3])/3 - a[5] - 
       (10*a[6])/3 + (10*a[7])/3 + (5*a[8])/2 + 5*a[9])*HPL[{1}, 1 - w]*
      HPL[{0, 1}, 1 - w]*\[Zeta][2] + ((-3*a[2])/2 - (11*a[3])/2 - 8*a[4] - 
       11*a[5] - (11*a[6])/2 + (11*a[7])/2 - (31*a[8])/2 + 23*a[9])*
      HPL[{0, 0, 1}, 1 - u]*\[Zeta][2] + 
     (-2*a[2] + 2*a[3] + 3*a[5] - 2*a[6] - 6*a[7] - (31*a[8])/2 + 23*a[9])*
      HPL[{0, 0, 1}, 1 - v]*\[Zeta][2] + (a[2]/2 + 6*a[3] + 3*a[5] + 2*a[6] - 
       6*a[7] - (27*a[8])/2 + 21*a[9] + 4*a[11])*HPL[{0, 0, 1}, 1 - w]*
      \[Zeta][2] + ((-38*a[2])/3 + (14*a[3])/3 + 4*a[5] - (16*a[6])/3 - 
       (26*a[7])/3 - 16*a[8] + 20*a[9])*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2] + 
     ((4*a[2])/3 + (32*a[3])/3 + 8*a[4] + 24*a[5] + (32*a[6])/3 - 
       (32*a[7])/3 - 16*a[8] + 20*a[9])*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2] + 
     ((16*a[2])/3 + (32*a[3])/3 + 24*a[5] + (32*a[6])/3 - (32*a[7])/3 - 
       24*a[8] + 28*a[9])*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2] + 
     ((-16*a[1])/5 - (68*a[2])/5 - (48*a[5])/5 - (24*a[8])/5 - (24*a[9])/5)*
      HPL[{1}, 1 - u]*\[Zeta][2]^2 + ((-24*a[2])/5 + 4*a[3] - 4*a[4] - 
       (72*a[5])/5 + (36*a[6])/5 - (36*a[7])/5 - (24*a[8])/5 - (24*a[9])/5 - 
       (4*a[10])/5)*HPL[{1}, 1 - v]*\[Zeta][2]^2 + 
     ((-48*a[2])/5 + (24*a[3])/5 - (48*a[5])/5 + (24*a[6])/5 - (24*a[7])/5 - 
       (24*a[8])/5 - (24*a[9])/5)*HPL[{1}, 1 - w]*\[Zeta][2]^2 + 
     (a[1] + (14*a[2])/3 + (4*a[3])/3 + (4*a[6])/3 - a[7]/3 + a[8] + 3*a[9])*
      HPL[{1}, 1 - u]^2*\[Zeta][3] + (-2*a[3] + 4*a[5] + 2*a[7] + 2*a[8])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][3] + 
     (-a[2]/3 - (8*a[3])/3 - 2*a[4] - (8*a[6])/3 + (8*a[7])/3 + a[8] + 
       3*a[9])*HPL[{1}, 1 - v]^2*\[Zeta][3] + 
     (2*a[2] + 6*a[5] - 2*a[6] + 4*a[9])*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
      \[Zeta][3] + (2*a[2] + 8*a[5] + 4*a[9])*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
      \[Zeta][3] + ((8*a[2])/3 - (8*a[3])/3 - (8*a[6])/3 + (8*a[7])/3 + 
       4*a[9])*HPL[{1}, 1 - w]^2*\[Zeta][3] + 
     ((14*a[2])/3 - (14*a[3])/3 - 4*a[4] - 6*a[5] - (2*a[6])/3 + (8*a[7])/3 + 
       10*a[8] - 6*a[9] - 2*a[11])*HPL[{0, 1}, 1 - u]*\[Zeta][3] + 
     ((8*a[2])/3 - (20*a[3])/3 + 8*a[5] - (8*a[6])/3 + (14*a[7])/3 + 
       10*a[8] - 6*a[9] - 2*a[11])*HPL[{0, 1}, 1 - v]*\[Zeta][3] + 
     ((8*a[2])/3 - (8*a[3])/3 + 4*a[4] + 8*a[5] - (8*a[6])/3 + (14*a[7])/3 + 
       8*a[8] - 4*a[9] + 2*a[11])*HPL[{0, 1}, 1 - w]*\[Zeta][3] + 
     (-4*a[2] + 16*a[3] + 16*a[4] + 4*a[5] + 24*a[6] - 20*a[7] + 4*a[8] - 
       56*a[9] + 2*a[10] - 4*a[11])*\[Zeta][2]*\[Zeta][3] + 
     (8*a[1] + 46*a[2] - 46*a[3] - 16*a[4] - 54*a[6] + 60*a[7] + 60*a[8] + 
       40*a[9] - a[10] - 2*a[11])*\[Zeta][5]
