(* ::Package:: *)

(****************************************************************)
(*                                                              *)
(*  This file contains coproduct-level definitions for a        *)
(*  complete basis of functions on the spurious pole surface    *)
(*  (u,v,w->1) through weight seven. Each basis function of      *)
(*  weight W is specified by its five independent {W-1,1}       *)
(*  coproduct components, where the overall additive constant   *)
(*  is set by requiring the function to vanish at the point     *)
(*  (u,v) = (1,1). Lower weight functions can appear in the     *)
(*  coproduct entries of higher weight functions, where they    *)
(*  are denoted by                                              *)
(*                                                              *)
(*    SPw{weight}f {label}[var1,var2]                            *)
(*                                                              *)
(*  where {weight} and {label} are replaced by the actual       *)
(*  weight and label of the function in question. Spurious      *)
(*  pole functions always take the arguments u and v, but these *)
(*  variables can appear in either permutation. The definitions *)
(*  provided below specify the [u,v] permutation of each        *)
(*  function, while the [v,u] permutation can be generated      *)
(*  by permuting the two variables everywhere at the {W-1,1}    *)
(*  coproduct level. For instance, SPw3f1[v,u] denotes the      *)
(*  weight three basis function with label 1 where u and v      *)
(*  have been everywhere permuted. The symmetry properties      *)
(*  of each basis function under the action of this permutation *)
(*  are detailed in the spurious pole surface function space    *)
(*  appendix in the accompanying paper. The only other          *)
(*  functions appearing in the basis function definitions       *)
(*  are harmonic polylogarithms, which we denote by             *)
(*  HPL[{m1,...,mn},z].                                         *)
(*                                                              *)
(*  The five weight W-1 coproduct entries defining the set of   *)
(*  weight W basis functions are specified in the expressions   *)
(*                                                              *)
(*    SPuvCoproductEntriesWeight {W}[arg]                        *)
(*                                                              *)
(*  where arg takes on the five values                          *)
(*                                                              *)
(*   {u,v,1-u,1-v,u-v}                                          *)
(*                                                              *)
(*  and denotes the variable appearing in the last entry        *)
(*  of that coproduct component. For instance, the coproduct    *)
(*  entries provided in SPuvCoproductEntriesWeight4[1-v]        *)
(*  correspond to the weight 3 entries of the {3,1} coproduct   *)
(*  component that has ln(1-v) appearing in its last            *)
(*  entry. Within these expressions, the coproduct component    *)
(*  corresponding to the Nth function of weight W multiplies    *)
(*  the coefficient f[W,N]. For instance, the weight 3          *)
(*  coproduct entries of SPw4f1[u,v] can be extracted from      *)
(*  the five SPuvCoproductEntriesWeight4[arg] expressions       *)
(*  in Mathematica using                                        *)
(*                                                              *)
(*    SPuvCoproductEntriesWeight4[arg]/.f[4,1]->1/.f[__]->0     *)
(*                                                              *)
(****************************************************************)


SPuvCoproductEntriesWeight2[1 - u] = 0
 
SPuvCoproductEntriesWeight2[u] = (f[2, 1]*HPL[{1}, 1 - v])/2
 
SPuvCoproductEntriesWeight2[1 - v] = 0
 
SPuvCoproductEntriesWeight2[u - v] = f[2, 1]*(HPL[{1}, 1 - u] - 
      HPL[{1}, 1 - v])
 
SPuvCoproductEntriesWeight2[v] = -(f[2, 1]*HPL[{1}, 1 - u])/2

SPuvCoproductEntriesWeight3[1 - u] = 0
 
SPuvCoproductEntriesWeight3[u] = 0
 
SPuvCoproductEntriesWeight3[1 - v] = 
    (f[3, 1]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/2 - 
     f[3, 1]*HPL[{0, 1}, 1 - u] + f[3, 1]*SPw2f1[u, v]
 
SPuvCoproductEntriesWeight3[u - v] = f[3, 1]*HPL[{0, 1}, 1 - u] - 
     f[3, 1]*HPL[{0, 1}, 1 - v] - 2*f[3, 2]*SPw2f1[u, v]
 
SPuvCoproductEntriesWeight3[v] = -(f[3, 2]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/
      2 + f[3, 2]*SPw2f1[u, v]
 
SPuvCoproductEntriesWeight4[1 - u] = 
    (-f[4, 4] - f[4, 5])*HPL[{0, 0, 1}, 1 - v] + (f[4, 4] + f[4, 5])*
      HPL[{0, 1, 1}, 1 - v] + (f[4, 4]/2 + f[4, 5]/2)*HPL[{1}, 1 - v]*
      SPw2f1[u, v] + (f[4, 4]/2 + f[4, 5]/2)*SPw3f2[u, v]
 
SPuvCoproductEntriesWeight4[u] = -(f[4, 2]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2)/
      2 + (f[4, 2]*HPL[{1}, 1 - v]^3)/6 - f[4, 7]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u] + (f[4, 3]/2 - f[4, 5]/2)*HPL[{0, 1, 1}, 1 - v] - 
     f[4, 7]*SPw3f1[v, u] - f[4, 6]*SPw3f2[u, v] + f[4, 2]*SPw3f2[v, u]
 
SPuvCoproductEntriesWeight4[1 - v] = (-f[4, 1] - f[4, 3] + f[4, 5])*
      HPL[{0, 0, 1}, 1 - u] + (f[4, 3]/2 - f[4, 5]/2)*HPL[{1}, 1 - v]*
      SPw2f1[u, v] + f[4, 1]*SPw3f1[u, v] + f[4, 5]*SPw3f1[v, u] + 
     (-f[4, 3]/2 - f[4, 5]/2)*SPw3f2[u, v]
 
SPuvCoproductEntriesWeight4[u - v] = 
    (f[4, 2]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2)/2 - 
     (f[4, 2]*HPL[{1}, 1 - v]^3)/6 - 2*f[4, 7]*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u] + 2*f[4, 7]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     (f[4, 1] + f[4, 3] - f[4, 5])*HPL[{0, 0, 1}, 1 - u] + 
     (-f[4, 1] + f[4, 4] + f[4, 5])*HPL[{0, 0, 1}, 1 - v] + 
     4*f[4, 7]*HPL[{0, 1, 1}, 1 - u] + (-f[4, 3] - f[4, 4] - 4*f[4, 7])*
      HPL[{0, 1, 1}, 1 - v] + f[4, 3]*SPw3f1[u, v] + f[4, 4]*SPw3f1[v, u] + 
     2*f[4, 6]*SPw3f2[u, v] + (-2*f[4, 2] - 2*f[4, 6])*SPw3f2[v, u]
 
SPuvCoproductEntriesWeight4[v] = (-f[4, 4]/2 - f[4, 5]/2)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u] + f[4, 7]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     f[4, 7]*SPw3f1[u, v] + f[4, 6]*SPw3f2[v, u]
 
SPuvCoproductEntriesWeight5[1 - u] = 
    (-f[5, 14]/4 - f[5, 16]/12)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v] + 
     (-f[5, 7]/4 - f[5, 9]/8 - f[5, 10]/8 + f[5, 11]/8 - f[5, 12]/8 + 
       f[5, 14]/4 - f[5, 15]/8 + f[5, 16]/4 - f[5, 18]/4 - f[5, 20]/8)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2 - 
     (f[5, 16]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3)/6 + 
     (-f[5, 11]/4 + f[5, 12]/4)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     (f[5, 8]/2 + f[5, 18] - f[5, 20]/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v] + (f[5, 16]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v])/
      2 + (f[5, 7] + f[5, 8] - f[5, 13]/2 + f[5, 14] - f[5, 16] - 
       2*f[5, 19] + f[5, 20]/4)*HPL[{0, 1}, 1 - v]^2 + 
     (2*f[5, 16] - 2*f[5, 18] + f[5, 20]/2)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + (f[5, 18] - f[5, 20]/2)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] - 2*f[5, 16]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + (f[5, 5] - f[5, 10] - f[5, 11] - f[5, 12] - 
       2*f[5, 15] + 4*f[5, 16] - 2*f[5, 20])*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-4*f[5, 8] + 2*f[5, 10] - f[5, 11] + f[5, 12] - 4*f[5, 16] - 
       4*f[5, 18] + f[5, 20])*HPL[{0, 0, 1, 1}, 1 - v] + 
     3*f[5, 16]*HPL[{0, 1, 1, 1}, 1 - v] + (f[5, 14]/2 + f[5, 16]/2)*
      HPL[{1}, 1 - u]^2*SPw2f1[u, v] + (2*f[5, 7] + f[5, 8] - f[5, 13] + 
       2*f[5, 14] - 4*f[5, 19] + f[5, 20]/2)*HPL[{0, 1}, 1 - v]*
      SPw2f1[u, v] + (f[5, 7] - f[5, 13]/2 + f[5, 14] + f[5, 16] - 
       2*f[5, 19] + f[5, 20]/4)*SPw2f1[u, v]^2 + 
     (-f[5, 8] - 2*f[5, 18] + f[5, 20]/2)*HPL[{1}, 1 - v]*SPw3f1[u, v] + 
     (-2*f[5, 7] - 2*f[5, 8] + f[5, 13] - 2*f[5, 14] - f[5, 15] - 
       2*f[5, 17] - 2*f[5, 18] + 4*f[5, 19])*HPL[{1}, 1 - u]*SPw3f1[v, u] + 
     (f[5, 7] + f[5, 9]/2 + f[5, 10]/2 - f[5, 11]/2 + f[5, 12]/2 - f[5, 14] + 
       f[5, 15]/2 - 2*f[5, 16] + f[5, 18] + f[5, 20]/2)*HPL[{1}, 1 - u]*
      SPw3f2[u, v] + (f[5, 9]/2 + f[5, 10]/2 - f[5, 11]/2 + f[5, 12]/2 + 
       f[5, 13]/2 - 2*f[5, 14] + f[5, 15]/2 - 3*f[5, 16] + f[5, 18] + 
       f[5, 20]/2)*HPL[{1}, 1 - u]*SPw3f2[v, u] + f[5, 5]*SPw4f1[u, v] + 
     f[5, 16]*SPw4f2[v, u] + f[5, 12]*SPw4f3[v, u] + f[5, 10]*SPw4f4[u, v] + 
     (-f[5, 10] + f[5, 11] - f[5, 12])*SPw4f5[u, v] + 
     (-f[5, 5] - f[5, 15] - 4*f[5, 18])*SPw4f5[v, u] + 
     (-f[5, 18] + f[5, 20]/4)*SPw4f6[u, v] - f[5, 8]*SPw4f7[u, v]
 
SPuvCoproductEntriesWeight5[u] = (f[5, 3]/4 - (5*f[5, 6])/8)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2 + 
     (-f[5, 9]/2 - f[5, 10]/2 + f[5, 11]/2 - f[5, 12]/2 - f[5, 13]/2 + 
       2*f[5, 14] - f[5, 15]/2 + 7*f[5, 16] - 4*f[5, 19] - f[5, 20]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u] + 
     (f[5, 4]/4 - f[5, 9]/8 - f[5, 10]/8 + f[5, 11]/8 - f[5, 12]/8 - 
       f[5, 13]/8 + f[5, 14]/2 - f[5, 15]/8 + (9*f[5, 16])/4 - f[5, 18]/2 + 
       f[5, 19]/4 - f[5, 20]/4)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     (f[5, 14]/2 + f[5, 15]/2 - f[5, 18] - 2*f[5, 19])*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + (-2*f[5, 18] + f[5, 20]/2)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u] + (f[5, 4]/2 - 8*f[5, 16] + (11*f[5, 19])/2 + 
       f[5, 20]/2)*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (f[5, 18] - f[5, 20]/2)*HPL[{0, 0, 1, 1}, 1 - v] + 
     (2*f[5, 19] + f[5, 20]/2)*HPL[{0, 1}, 1 - v]*SPw2f1[u, v] + 
     (f[5, 3] + f[5, 6]/2)*SPw2f1[u, v]^2 + (-f[5, 3] + f[5, 6]/2)*
      HPL[{1}, 1 - u]*SPw3f2[u, v] - f[5, 3]*HPL[{1}, 1 - u]*SPw3f2[v, u] + 
     f[5, 4]*SPw4f3[v, u] + (-f[5, 4] - 2*f[5, 16] - f[5, 19])*SPw4f4[u, v] + 
     f[5, 19]*SPw4f4[v, u] + (2*f[5, 18] + f[5, 20]/2)*SPw4f5[u, v] - 
     f[5, 19]*SPw4f5[v, u] - f[5, 19]*SPw4f7[u, v]
 
SPuvCoproductEntriesWeight5[1 - v] = 
    (-f[5, 18]/4 + f[5, 20]/8)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2 + 
     (-f[5, 14]/2 + f[5, 18] + f[5, 20]/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u] + (-f[5, 15]/2 + 2*f[5, 19] - f[5, 20]/4)*
      HPL[{0, 1}, 1 - u]^2 - (f[5, 5]*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v])/
      4 + (-2*f[5, 18] - f[5, 20]/2)*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (f[5, 9] + f[5, 13]/2 - 2*f[5, 14] + f[5, 15]/2 + f[5, 18] + f[5, 20]/2)*
      HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (-f[5, 1] - f[5, 5] - f[5, 9] - 2*f[5, 13] + 4*f[5, 14] + f[5, 15] + 
       2*f[5, 20])*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-f[5, 5] - 4*f[5, 18] - f[5, 20])*HPL[{0, 0, 1, 1}, 1 - u] + 
     f[5, 14]*HPL[{0, 1, 1, 1}, 1 - u] + (f[5, 15] - 4*f[5, 19] + f[5, 20]/2)*
      HPL[{0, 1}, 1 - u]*SPw2f1[u, v] + (2*f[5, 19] - f[5, 20]/4)*
      SPw2f1[u, v]^2 + (-2*f[5, 17] - 2*f[5, 18] - 4*f[5, 19])*
      HPL[{1}, 1 - v]*SPw3f1[u, v] + (-2*f[5, 18] - f[5, 20]/2)*
      HPL[{1}, 1 - u]*SPw3f1[v, u] + (-f[5, 7] + f[5, 18] - f[5, 20]/2)*
      HPL[{1}, 1 - v]*SPw3f2[u, v] + (f[5, 18] - f[5, 20]/2)*HPL[{1}, 1 - v]*
      SPw3f2[v, u] + f[5, 1]*SPw4f1[u, v] + f[5, 14]*SPw4f2[v, u] + 
     f[5, 15]*SPw4f3[v, u] + f[5, 9]*SPw4f4[u, v] + 
     (-2*f[5, 9] - f[5, 13] + 4*f[5, 14] - f[5, 15] - 4*f[5, 18])*
      SPw4f5[u, v] + f[5, 5]*SPw4f5[v, u] + (f[5, 18] + f[5, 20]/4)*
      SPw4f6[u, v]
 
SPuvCoproductEntriesWeight5[u - v] = (f[5, 6]*HPL[{1}, 1 - u]^4)/8 - 
     (f[5, 6]*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v])/3 + 
     (-f[5, 9]/4 - f[5, 10]/4 + f[5, 11]/4 - f[5, 12]/4 - f[5, 13]/4 + 
       f[5, 14] - f[5, 15]/4 + (7*f[5, 16])/2 - 3*f[5, 19] - f[5, 20]/4)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u] + 
     (f[5, 7] + 2*f[5, 8] - f[5, 13]/2 + f[5, 14] + f[5, 15] + f[5, 17] + 
       2*f[5, 18] - 4*f[5, 19])*HPL[{0, 1}, 1 - u]^2 + 
     ((-5*f[5, 16])/2 + 3*f[5, 19] + f[5, 20]/4)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v] + (-f[5, 8] - f[5, 15] - 2*f[5, 17] - 4*f[5, 18])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (-f[5, 7] - f[5, 8] + f[5, 13]/2 - f[5, 14] + f[5, 17] + 2*f[5, 18] + 
       4*f[5, 19])*HPL[{0, 1}, 1 - v]^2 + f[5, 20]*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u] - f[5, 20]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + (f[5, 4] - 8*f[5, 16] + 10*f[5, 19] + 
       f[5, 20]/2)*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (-f[5, 4] - f[5, 9]/2 - f[5, 10]/2 + f[5, 11]/2 - f[5, 12]/2 + 
       f[5, 13]/2 - f[5, 15]/2 + 8*f[5, 16] - 10*f[5, 19] - f[5, 20]/2)*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (f[5, 1] + f[5, 5] + f[5, 9] + 2*f[5, 13] - 4*f[5, 14] - f[5, 15] - 
       2*f[5, 20])*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-f[5, 1] - f[5, 5] + f[5, 10] + f[5, 11] + f[5, 12] + 2*f[5, 15] - 
       4*f[5, 16] + 2*f[5, 20])*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-4*f[5, 8] - f[5, 12] - f[5, 15] + f[5, 20])*HPL[{0, 0, 1, 1}, 1 - u] + 
     (4*f[5, 8] - 2*f[5, 9] - 2*f[5, 10] + f[5, 11] - f[5, 12] - f[5, 13] + 
       4*f[5, 14] - f[5, 15] + 4*f[5, 16] - f[5, 20])*
      HPL[{0, 0, 1, 1}, 1 - v] + (-3*f[5, 4] + (3*f[5, 9])/2 + 
       (3*f[5, 10])/2 - (3*f[5, 11])/2 + (3*f[5, 12])/2 + (3*f[5, 13])/2 - 
       4*f[5, 14] + (3*f[5, 15])/2 + 5*f[5, 16] - 12*f[5, 19])*
      HPL[{0, 1, 1, 1}, 1 - u] + (3*f[5, 4] + (3*f[5, 9])/2 + 
       (3*f[5, 10])/2 - (3*f[5, 11])/2 + (3*f[5, 12])/2 - (3*f[5, 13])/2 + 
       (3*f[5, 15])/2 - 9*f[5, 16] + 12*f[5, 19])*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-2*f[5, 3] - f[5, 6])*SPw2f1[u, v]^2 + (f[5, 2] + f[5, 6])*
      HPL[{1}, 1 - u]*SPw3f2[u, v] - f[5, 2]*HPL[{1}, 1 - u]*SPw3f2[v, u] + 
     f[5, 11]*SPw4f1[v, u] + f[5, 6]*SPw4f2[v, u] + 
     (f[5, 13] - f[5, 20])*SPw4f3[u, v] + f[5, 20]*SPw4f3[v, u] + 
     (f[5, 13] - 4*f[5, 14] - 4*f[5, 16] + f[5, 20])*SPw4f4[u, v] - 
     f[5, 20]*SPw4f4[v, u] + (f[5, 9] + f[5, 10] - f[5, 11] + f[5, 12] + 
       f[5, 15])*SPw4f5[u, v] - f[5, 2]*SPw4f6[u, v] + 2*f[5, 19]*SPw4f7[u, v]
 
SPuvCoproductEntriesWeight5[v] = -(f[5, 6]*HPL[{1}, 1 - u]^4)/8 + 
     (-f[5, 18]/2 - f[5, 19]/4 + f[5, 20]/4)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v] + (4*f[5, 19] + f[5, 20]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     (-f[5, 7] - 2*f[5, 8] + f[5, 13]/2 - f[5, 14] - f[5, 18] + 2*f[5, 19])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (2*f[5, 16] - 2*f[5, 18] - f[5, 20]/2)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v] + (-f[5, 4] - f[5, 9]/2 - f[5, 10]/2 + 
       f[5, 11]/2 - f[5, 12]/2 + f[5, 13]/2 - f[5, 15]/2 - 2*f[5, 16] - 
       (11*f[5, 19])/2 - f[5, 20]/2)*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (f[5, 5]/2 + f[5, 12]/2 + f[5, 15]/2 + f[5, 18] + f[5, 20]/2)*
      HPL[{0, 0, 1, 1}, 1 - u] + (f[5, 9]/2 + f[5, 10]/2 - f[5, 11]/2 + 
       f[5, 12]/2 + f[5, 13]/2 - 2*f[5, 14] + f[5, 15]/2 - 3*f[5, 16] + 
       2*f[5, 19] + f[5, 20]/2)*HPL[{0, 1}, 1 - u]*SPw2f1[u, v] + 
     f[5, 16]*HPL[{1}, 1 - v]*SPw3f1[v, u] - f[5, 6]*HPL[{1}, 1 - u]*
      SPw3f2[u, v] + f[5, 2]*HPL[{1}, 1 - u]*SPw3f2[v, u] + 
     (2*f[5, 16] - f[5, 19])*SPw4f4[u, v] + f[5, 19]*SPw4f4[v, u] + 
     f[5, 19]*SPw4f5[u, v] + (2*f[5, 18] - f[5, 20]/2)*SPw4f5[v, u] + 
     (2*f[5, 16] - f[5, 19])*SPw4f7[u, v]
 
SPuvCoproductEntriesWeight6[1 - u] = 
    (-f[6, 10]/4 - (7*f[6, 11])/24 - f[6, 12]/12 - f[6, 13]/24 - f[6, 14]/8 - 
       (17*f[6, 15])/48 + f[6, 16]/12 - f[6, 17]/4 + f[6, 18]/24 + 
       (5*f[6, 19])/12 + (5*f[6, 20])/16 + (5*f[6, 21])/48 - (7*f[6, 23])/6 + 
       (7*f[6, 24])/48 + (43*f[6, 25])/96 + f[6, 26]/3 + f[6, 27]/8 - 
       (5*f[6, 28])/48 + f[6, 29]/48 + f[6, 33]/24 - (13*f[6, 34])/48 + 
       (7*f[6, 35])/48 - (11*f[6, 36])/48 + (11*f[6, 37])/48 - f[6, 38]/12 - 
       f[6, 40]/12 + (5*f[6, 41])/12 - (7*f[6, 42])/48 + f[6, 43]/8 - 
       (5*f[6, 44])/24 - f[6, 53]/12 - (133*f[6, 54])/96)*HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - v] + (-f[6, 10]/2 + f[6, 12]/16 - f[6, 13]/4 - 
       f[6, 14]/8 - (7*f[6, 15])/16 - (5*f[6, 16])/16 - f[6, 17]/4 + 
       f[6, 18]/16 - (3*f[6, 19])/4 + (25*f[6, 20])/64 + (9*f[6, 21])/64 + 
       (3*f[6, 22])/64 - (9*f[6, 23])/8 + f[6, 24]/4 + (31*f[6, 25])/64 + 
       (23*f[6, 26])/64 + (5*f[6, 27])/64 - (5*f[6, 28])/64 - f[6, 29]/32 - 
       f[6, 30]/32 - f[6, 31]/32 + f[6, 32]/32 - f[6, 34]/4 + f[6, 35]/8 - 
       (11*f[6, 36])/64 + (15*f[6, 37])/64 - f[6, 38]/8 - (19*f[6, 39])/16 - 
       (13*f[6, 40])/8 + (81*f[6, 41])/64 - (59*f[6, 42])/128 + 
       (43*f[6, 43])/64 - (5*f[6, 44])/64 - f[6, 47]/2 - f[6, 53]/64 - 
       (67*f[6, 54])/64)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2 + 
     (f[6, 18]/8 - f[6, 20]/16 - f[6, 21]/16 + f[6, 22]/16 - f[6, 24]/16 - 
       f[6, 25]/16 - f[6, 26]/8 + f[6, 27]/16 - f[6, 28]/16 - f[6, 29]/16 - 
       f[6, 30]/8 - f[6, 31]/8 + f[6, 32]/8 - f[6, 33]/16 - f[6, 35]/16 - 
       f[6, 36]/16 - f[6, 37]/16 - f[6, 38]/8 + (3*f[6, 39])/8 + f[6, 40]/8 - 
       f[6, 41]/16 + (7*f[6, 42])/32 + (19*f[6, 43])/16 + (7*f[6, 44])/16 - 
       f[6, 53]/16 - (3*f[6, 54])/16)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u] + (f[6, 43]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u])/
      12 - (f[6, 13]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v])/3 + 
     (f[6, 28]/4 - f[6, 30]/4 - f[6, 31]/4 + f[6, 32]/4 + f[6, 34]/4 + 
       f[6, 36]/2 - f[6, 37]/4 - f[6, 38]/4 - f[6, 40] - f[6, 41]/4 - 
       f[6, 42]/8 + f[6, 43]/4 - f[6, 44]/4 + (3*f[6, 53])/8 - 
       (3*f[6, 54])/8)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] - f[6, 13]*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 1}, 1 - v] + (f[6, 22] - f[6, 30] - f[6, 31] + f[6, 32] + 
       f[6, 33] - f[6, 48])*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (2*f[6, 9] - 2*f[6, 11] - 2*f[6, 13] - f[6, 16] - 4*f[6, 17] + 
       f[6, 23] + f[6, 24]/4 - f[6, 25]/2 - f[6, 26]/4 - 2*f[6, 27] + 
       f[6, 28]/2 - f[6, 29]/4 + (3*f[6, 30])/2 + (3*f[6, 31])/2 - 
       (3*f[6, 32])/2 - f[6, 33]/4 + f[6, 34]/2 + (13*f[6, 35])/4 + 
       f[6, 36] - f[6, 37]/2 + f[6, 38]/2 + (5*f[6, 39])/2 + (9*f[6, 40])/2 + 
       f[6, 41]/2 + f[6, 42]/4 - f[6, 43]/2 - (5*f[6, 44])/2 - 
       (3*f[6, 53])/2 + 8*f[6, 54])*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + (f[6, 5]/2 - f[6, 14]/2 - f[6, 15] - 
       f[6, 18]/2 - f[6, 20]/4 - f[6, 21]/4 + f[6, 22]/4 - 2*f[6, 23] - 
       f[6, 24]/4 + (3*f[6, 25])/4 + (3*f[6, 27])/4 + f[6, 28]/2 + 
       f[6, 29]/4 - f[6, 30]/4 - f[6, 31]/4 + f[6, 32]/4 - f[6, 34]/4 + 
       f[6, 35]/2 + f[6, 36]/4 + f[6, 38]/2 - (3*f[6, 39])/2 - 
       (3*f[6, 40])/2 - f[6, 41]/8 - (29*f[6, 42])/16 - (25*f[6, 43])/8 - 
       (11*f[6, 44])/8 - 2*f[6, 46] - f[6, 53]/4 - f[6, 54])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (f[6, 28]/8 - f[6, 30]/8 - f[6, 31]/8 + f[6, 32]/8 + f[6, 34]/8 - 
       f[6, 35]/4 + f[6, 36]/4 - f[6, 37]/8 - f[6, 38]/8 - f[6, 41]/8 - 
       f[6, 42]/16 + f[6, 43]/8 - f[6, 44]/8 + f[6, 53]/8 - f[6, 54]/8)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     (-f[6, 5] + f[6, 14] + 2*f[6, 15] + (3*f[6, 28])/4 - (3*f[6, 30])/4 - 
       (3*f[6, 31])/4 + (3*f[6, 32])/4 + f[6, 33]/2 + (3*f[6, 34])/4 + 
       (3*f[6, 36])/2 - (3*f[6, 37])/4 + f[6, 38]/4 - (9*f[6, 39])/2 - 
       (11*f[6, 40])/2 + 2*f[6, 41] + f[6, 42] + (7*f[6, 43])/2 + 
       2*f[6, 46] + f[6, 53] - (7*f[6, 54])/4)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (-f[6, 9] + f[6, 11]/2 + f[6, 12]/12 + 
       (5*f[6, 13])/2 - (5*f[6, 14])/6 + f[6, 15]/6 - f[6, 16]/4 + 
       f[6, 17]/3 - f[6, 20]/24 - f[6, 21]/24 + f[6, 22]/24 + 
       (3*f[6, 23])/4 + (5*f[6, 24])/48 - f[6, 25]/4 - (11*f[6, 26])/48 + 
       (11*f[6, 27])/24 - (5*f[6, 28])/24 - (3*f[6, 29])/16 - f[6, 30]/3 - 
       f[6, 31]/3 + f[6, 32]/3 - (5*f[6, 33])/48 - f[6, 34]/12 - 
       (25*f[6, 35])/48 - (3*f[6, 36])/8 + f[6, 37]/8 - (5*f[6, 38])/12 + 
       (5*f[6, 39])/24 - (23*f[6, 40])/24 - f[6, 41]/2 - (5*f[6, 42])/12 - 
       (9*f[6, 43])/4 - f[6, 44] - (3*f[6, 53])/8 + (11*f[6, 54])/12)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     f[6, 13]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v] + 
     (2*f[6, 9] + 2*f[6, 11] - 2*f[6, 13] + 3*f[6, 14] - f[6, 16] + 
       2*f[6, 17] - f[6, 20]/4 + f[6, 23] - f[6, 25]/2 - f[6, 26]/4 - 
       f[6, 27]/2 + f[6, 28]/2 - f[6, 33]/4 + f[6, 34]/2 - (5*f[6, 35])/2 + 
       f[6, 36] - f[6, 37]/2 + f[6, 38]/4 + (5*f[6, 39])/2 + (9*f[6, 40])/2 - 
       f[6, 41] - f[6, 42]/2 - f[6, 43]/2 + 3*f[6, 44] - f[6, 53]/4 + 
       (13*f[6, 54])/4)*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (2*f[6, 43] + f[6, 44]/2)*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (f[6, 22]/2 + f[6, 27]/2 - f[6, 28]/4 + f[6, 30]/4 + f[6, 31]/4 - 
       f[6, 32]/4 - f[6, 34]/4 + f[6, 35]/4 - f[6, 36]/2 + (3*f[6, 37])/4 + 
       f[6, 38]/4 + f[6, 41]/4 + f[6, 42]/8 - f[6, 43]/4 + f[6, 44]/4 - 
       f[6, 53] + (3*f[6, 54])/4)*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-f[6, 43] - f[6, 44])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-f[6, 18] - 2*f[6, 20] + 3*f[6, 22] - 2*f[6, 24] + f[6, 28] + 
       f[6, 29] - 5*f[6, 30] - 5*f[6, 31] + 5*f[6, 32] + f[6, 34] - 
       f[6, 35] + 2*f[6, 36] - 5*f[6, 37] - f[6, 38] - 8*f[6, 40] - 
       5*f[6, 41] - (5*f[6, 42])/2 - f[6, 43] - 5*f[6, 44] + f[6, 53] - 
       9*f[6, 54])*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     (-4*f[6, 9] + 8*f[6, 11] + 8*f[6, 13] + 12*f[6, 17] + 5*f[6, 20] + 
       5*f[6, 24] + 7*f[6, 27] - f[6, 28] - f[6, 29] - 4*f[6, 30] - 
       4*f[6, 31] + 4*f[6, 32] - 2*f[6, 34] - 8*f[6, 35] - 4*f[6, 36] + 
       3*f[6, 37] - 6*f[6, 38] - 4*f[6, 40] - 4*f[6, 41] - 2*f[6, 42] + 
       6*f[6, 43] + 12*f[6, 44] + 5*f[6, 53] - 21*f[6, 54])*
      HPL[{0, 0, 0, 1, 1}, 1 - v] + (2*f[6, 3] - 2*f[6, 9] + 4*f[6, 11] + 
       4*f[6, 13] + 6*f[6, 17] + f[6, 20]/2 + f[6, 24]/2 + 2*f[6, 27] - 
       f[6, 29]/2 - 2*f[6, 30] - 2*f[6, 31] + 2*f[6, 32] - 4*f[6, 35] - 
       (5*f[6, 38])/2 - 4*f[6, 40] - 2*f[6, 41] - f[6, 42] + 3*f[6, 43] + 
       4*f[6, 44] + (7*f[6, 53])/2 - (21*f[6, 54])/2)*
      HPL[{0, 0, 1, 0, 1}, 1 - v] + (-12*f[6, 9] + 12*f[6, 13] - 6*f[6, 14] + 
       (3*f[6, 20])/2 + (3*f[6, 24])/2 + 3*f[6, 27] - 3*f[6, 28] - 
       (3*f[6, 29])/2 - 3*f[6, 34] + (3*f[6, 35])/2 - 6*f[6, 36] + 
       3*f[6, 37] - (3*f[6, 38])/2 - 12*f[6, 40] + (9*f[6, 43])/2 - 
       6*f[6, 44] + (7*f[6, 53])/4 - (57*f[6, 54])/4)*
      HPL[{0, 0, 1, 1, 1}, 1 - v] + (f[6, 2] - 4*f[6, 9] + 4*f[6, 13] - 
       3*f[6, 14] - f[6, 18]/2 + (3*f[6, 20])/4 + (3*f[6, 24])/4 + 
       2*f[6, 27] - f[6, 28]/2 - f[6, 29]/4 - f[6, 30]/2 - f[6, 31]/2 + 
       f[6, 32]/2 - f[6, 34] + f[6, 35]/4 - 2*f[6, 36] + (3*f[6, 37])/2 - 
       (7*f[6, 38])/4 - 4*f[6, 40] - f[6, 41]/2 - f[6, 42]/4 - 
       (9*f[6, 44])/2 + (7*f[6, 53])/4 - (33*f[6, 54])/4)*
      HPL[{0, 1, 0, 1, 1}, 1 - v] - 4*f[6, 13]*HPL[{0, 1, 1, 1, 1}, 1 - v] + 
     (f[6, 10]/2 + (5*f[6, 11])/12 + f[6, 12]/4 - f[6, 13]/12 + f[6, 14]/6 + 
       (17*f[6, 15])/24 - f[6, 16]/12 + f[6, 17]/3 - f[6, 18]/6 - 
       (5*f[6, 19])/6 - (5*f[6, 20])/6 - f[6, 21]/3 + f[6, 22]/24 + 
       (31*f[6, 23])/12 - (7*f[6, 24])/16 - (43*f[6, 25])/48 - 
       (43*f[6, 26])/48 - (7*f[6, 27])/24 + f[6, 28]/3 - f[6, 29]/16 - 
       f[6, 30]/12 - f[6, 31]/12 + f[6, 32]/12 - (5*f[6, 33])/48 + 
       (17*f[6, 34])/24 - (7*f[6, 35])/48 + (2*f[6, 36])/3 - (2*f[6, 37])/3 + 
       f[6, 38]/6 - (11*f[6, 39])/24 - (7*f[6, 40])/24 - (11*f[6, 41])/12 + 
       f[6, 42]/12 - (5*f[6, 43])/12 + (5*f[6, 53])/24 + (121*f[6, 54])/48)*
      HPL[{1}, 1 - u]^3*SPw2f1[u, v] + ((3*f[6, 11])/4 + f[6, 12]/8 + 
       f[6, 13]/4 + f[6, 14]/4 + f[6, 15]/4 - (5*f[6, 16])/8 + f[6, 17]/2 + 
       f[6, 18]/8 - f[6, 20]/16 + f[6, 21]/16 - f[6, 22]/16 + 
       (7*f[6, 23])/8 + (3*f[6, 24])/32 - (3*f[6, 25])/8 - (5*f[6, 26])/32 - 
       (3*f[6, 27])/16 - f[6, 28]/16 - (3*f[6, 29])/32 + f[6, 30]/8 + 
       f[6, 31]/8 - f[6, 32]/8 - (7*f[6, 33])/32 + f[6, 34]/8 - 
       (19*f[6, 35])/32 + f[6, 36]/16 - f[6, 37]/16 + (15*f[6, 39])/16 + 
       (15*f[6, 40])/16 - (3*f[6, 41])/8 - (3*f[6, 42])/16 - f[6, 43]/2 + 
       f[6, 44]/8 - f[6, 53]/16 + (9*f[6, 54])/8)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*SPw2f1[u, v] + ((3*f[6, 11])/4 + f[6, 13]/4 + 
       (3*f[6, 14])/8 - (3*f[6, 16])/8 + (3*f[6, 17])/4 + (3*f[6, 23])/8 + 
       (3*f[6, 24])/32 - (3*f[6, 25])/16 - (3*f[6, 26])/32 - 
       (3*f[6, 29])/32 - (3*f[6, 33])/32 - (27*f[6, 35])/32 + 
       (11*f[6, 39])/16 + (11*f[6, 40])/16 - f[6, 41]/4 - f[6, 42]/4 - 
       f[6, 43]/2 + f[6, 44]/4 + f[6, 54]/2)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*SPw2f1[u, v] + (-f[6, 18]/4 + f[6, 20]/8 + 
       f[6, 21]/8 - f[6, 22]/8 + f[6, 24]/8 + f[6, 25]/8 + f[6, 26]/4 - 
       f[6, 27]/8 + f[6, 28]/8 + f[6, 29]/8 + f[6, 30]/4 + f[6, 31]/4 - 
       f[6, 32]/4 + f[6, 33]/8 + f[6, 35]/8 + f[6, 36]/8 + f[6, 37]/8 + 
       f[6, 38]/4 - (3*f[6, 39])/4 - f[6, 40]/4 + f[6, 41]/8 - 
       (7*f[6, 42])/16 - (19*f[6, 43])/8 - (7*f[6, 44])/8 + f[6, 53]/8 + 
       (3*f[6, 54])/8)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*SPw2f1[u, v] + 
     (-f[6, 18]/4 - f[6, 27]/4 + f[6, 28]/4 + f[6, 34]/4 + f[6, 36]/2 - 
       f[6, 37]/4 - f[6, 43]/4 + f[6, 53]/4)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*SPw2f1[u, v] + (f[6, 20]/2 + 2*f[6, 23] + f[6, 24] - 
       f[6, 25] - f[6, 26]/2 - f[6, 29] - f[6, 33]/2 - f[6, 35]/2 - 
       (3*f[6, 38])/2 + 5*f[6, 39] + 5*f[6, 40] - 2*f[6, 41] - f[6, 42] - 
       f[6, 43] - 2*f[6, 44] - f[6, 53] + 6*f[6, 54])*HPL[{0, 0, 1}, 1 - v]*
      SPw2f1[u, v] + (-f[6, 5] + f[6, 14] + 2*f[6, 15] + f[6, 33]/2 - 
       f[6, 35]/2 + f[6, 38]/2 - 4*f[6, 39] - 4*f[6, 40] + (11*f[6, 41])/4 + 
       (11*f[6, 42])/8 + (27*f[6, 43])/4 + (11*f[6, 44])/4 + 2*f[6, 46] - 
       f[6, 54])*HPL[{0, 1, 1}, 1 - u]*SPw2f1[u, v] + 
     (-f[6, 11] + f[6, 12]/4 - f[6, 14]/4 + f[6, 16] - f[6, 17]/2 - 
       f[6, 20]/4 - f[6, 21]/8 - f[6, 22]/8 - f[6, 24]/4 + f[6, 25]/8 - 
       f[6, 26]/4 + f[6, 27]/8 - f[6, 28]/8 - f[6, 33]/8 + f[6, 35]/4 - 
       f[6, 36]/8 - f[6, 37]/8 - f[6, 38]/8 - (7*f[6, 39])/4 - 
       (3*f[6, 40])/4 + f[6, 41]/4 - (3*f[6, 42])/8 - f[6, 43]/4 - f[6, 44] - 
       f[6, 47] + f[6, 53]/4 - f[6, 54]/8)*HPL[{1}, 1 - u]*SPw2f1[u, v]^2 + 
     (-f[6, 11] - f[6, 14]/2 + f[6, 16]/2 - f[6, 17] - f[6, 23]/2 - 
       f[6, 24]/8 + f[6, 25]/4 + f[6, 26]/8 + f[6, 29]/8 + f[6, 33]/8 + 
       (9*f[6, 35])/8 - (5*f[6, 39])/4 - (5*f[6, 40])/4 + f[6, 41]/2 + 
       f[6, 42]/4 + f[6, 43]/2 - f[6, 44]/2 - f[6, 54]/2)*HPL[{1}, 1 - v]*
      SPw2f1[u, v]^2 + (f[6, 18]/2 + f[6, 21]/4 - f[6, 22]/4 + 
       (3*f[6, 23])/2 + f[6, 24]/8 - f[6, 25]/4 - f[6, 26]/8 - f[6, 27]/4 - 
       f[6, 28]/2 - f[6, 29]/8 + f[6, 30]/4 + f[6, 31]/4 - f[6, 32]/4 - 
       f[6, 33]/8 + f[6, 34]/4 - f[6, 36]/4 - f[6, 38]/2 - f[6, 41]/4 - 
       (3*f[6, 42])/8 + f[6, 43]/4 - f[6, 44]/2 - f[6, 47] + (3*f[6, 53])/8 + 
       (11*f[6, 54])/8)*HPL[{1}, 1 - u]^2*SPw3f1[u, v] + 
     (f[6, 43]/2 + f[6, 44]/4)*HPL[{1}, 1 - v]^2*SPw3f1[u, v] + 
     (f[6, 10] + f[6, 14]/4 + (3*f[6, 15])/4 + (3*f[6, 16])/4 + f[6, 17]/2 + 
       f[6, 18]/4 - f[6, 20] - f[6, 21]/4 + f[6, 22]/4 + (19*f[6, 23])/4 - 
       (9*f[6, 24])/16 - (3*f[6, 25])/2 - (19*f[6, 26])/16 - f[6, 27]/2 - 
       (3*f[6, 29])/16 - f[6, 30]/4 - f[6, 31]/4 + f[6, 32]/4 - 
       (3*f[6, 33])/16 + (5*f[6, 34])/4 - (5*f[6, 35])/16 + (3*f[6, 36])/4 - 
       f[6, 37] - (3*f[6, 38])/4 + (13*f[6, 39])/8 + (9*f[6, 40])/8 - 
       (11*f[6, 41])/4 + f[6, 42]/8 - f[6, 43]/4 - (3*f[6, 44])/4 + 
       (5*f[6, 53])/8 + (19*f[6, 54])/8)*HPL[{1}, 1 - u]^2*SPw3f1[v, u] + 
     (f[6, 43]*HPL[{1}, 1 - v]^2*SPw3f1[v, u])/4 + 
     (f[6, 3] + 2*f[6, 17] - f[6, 22] + 2*f[6, 27] - f[6, 28] + f[6, 30] + 
       f[6, 31] - f[6, 32] - f[6, 33] - f[6, 34] - 2*f[6, 36] + 2*f[6, 37] - 
       2*f[6, 43] + f[6, 44] + 2*f[6, 48] - f[6, 53])*HPL[{0, 1}, 1 - u]*
      SPw3f1[v, u] + (2*f[6, 10] - f[6, 11]/4 - (5*f[6, 12])/8 + 
       (5*f[6, 13])/4 + f[6, 14]/2 + (3*f[6, 15])/2 + (13*f[6, 16])/8 + 
       f[6, 17] - f[6, 18]/8 + 3*f[6, 19] - (7*f[6, 20])/8 - f[6, 21]/4 - 
       f[6, 22]/4 + (23*f[6, 23])/8 - (21*f[6, 24])/32 - (25*f[6, 25])/16 - 
       (19*f[6, 26])/32 + (9*f[6, 29])/32 + f[6, 30]/4 + f[6, 31]/4 - 
       f[6, 32]/4 + (9*f[6, 33])/32 + (3*f[6, 34])/8 - (11*f[6, 35])/32 - 
       f[6, 37]/4 + f[6, 38]/2 + (83*f[6, 39])/16 + (111*f[6, 40])/16 - 
       (71*f[6, 41])/16 + (85*f[6, 42])/32 - (27*f[6, 43])/16 + 
       (23*f[6, 44])/16 + 2*f[6, 47] - f[6, 53]/8 + (73*f[6, 54])/16)*
      HPL[{1}, 1 - u]^2*SPw3f2[u, v] + (f[6, 54]*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*SPw3f2[u, v])/2 + 
     (f[6, 18]/4 - f[6, 20]/2 - f[6, 24]/2 - (3*f[6, 27])/4 - f[6, 28]/4 + 
       f[6, 34]/4 - f[6, 35]/2 + f[6, 36]/2 - (3*f[6, 37])/4 + f[6, 43]/4 + 
       f[6, 44] + f[6, 53]/4)*HPL[{0, 1}, 1 - u]*SPw3f2[u, v] + 
     (-f[6, 11] - f[6, 13] - f[6, 14]/2 + f[6, 16]/2 - f[6, 17] - 
       f[6, 23]/2 - f[6, 24]/8 + f[6, 25]/4 + f[6, 26]/8 + f[6, 29]/8 + 
       f[6, 33]/8 + (9*f[6, 35])/8 - (5*f[6, 39])/4 - (5*f[6, 40])/4 + 
       f[6, 41]/2 + f[6, 42]/4 + f[6, 43]/2 - f[6, 44]/2 - f[6, 54]/2)*
      SPw2f1[u, v]*SPw3f2[u, v] + ((5*f[6, 10])/2 + (3*f[6, 11])/4 - 
       (9*f[6, 12])/8 + (5*f[6, 13])/4 + (7*f[6, 14])/8 + (15*f[6, 15])/8 + 
       f[6, 16] + (7*f[6, 17])/4 - f[6, 18]/4 + 3*f[6, 19] - (9*f[6, 20])/8 - 
       (3*f[6, 21])/8 + (9*f[6, 23])/2 - (3*f[6, 24])/4 - (37*f[6, 25])/16 - 
       (7*f[6, 26])/8 - f[6, 27]/4 + (3*f[6, 28])/8 + f[6, 29]/4 + 
       (3*f[6, 33])/8 + (7*f[6, 34])/8 - (3*f[6, 35])/4 + (5*f[6, 36])/8 - 
       (5*f[6, 37])/8 + f[6, 38]/2 + (33*f[6, 39])/4 + (35*f[6, 40])/4 - 
       (99*f[6, 41])/16 + (113*f[6, 42])/32 - (31*f[6, 43])/16 + 
       (39*f[6, 44])/16 + 4*f[6, 47] - (3*f[6, 53])/16 + (9*f[6, 54])/2)*
      HPL[{1}, 1 - u]^2*SPw3f2[v, u] + (f[6, 53]/4 - (3*f[6, 54])/8)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*SPw3f2[v, u] - 
     (f[6, 13]*HPL[{1}, 1 - v]^2*SPw3f2[v, u])/2 + 
     (-f[6, 15]/2 + f[6, 16]/2 - f[6, 18]/4 + f[6, 19] - f[6, 20]/2 - 
       f[6, 22]/2 - (5*f[6, 23])/2 - (5*f[6, 24])/8 + f[6, 25]/2 + 
       (5*f[6, 26])/8 - (3*f[6, 27])/4 - f[6, 28]/4 + (5*f[6, 29])/8 + 
       f[6, 30] + f[6, 31] - f[6, 32] + (5*f[6, 33])/8 - (3*f[6, 34])/4 - 
       (7*f[6, 35])/8 - f[6, 36]/2 + f[6, 37]/4 + (3*f[6, 38])/2 - 
       (3*f[6, 39])/4 + (9*f[6, 40])/4 + f[6, 41] - (3*f[6, 43])/4 + 
       (3*f[6, 44])/2 - f[6, 53]/2 + (15*f[6, 54])/4)*HPL[{0, 1}, 1 - u]*
      SPw3f2[v, u] + (-f[6, 14]/2 - f[6, 17] + f[6, 35] - f[6, 44]/2 - 
       f[6, 53]/2 + (3*f[6, 54])/2)*SPw2f1[u, v]*SPw3f2[v, u] + 
     (f[6, 18] - f[6, 20] - f[6, 22] + 4*f[6, 23] - f[6, 24] - f[6, 25] - 
       f[6, 26] - 2*f[6, 27] - f[6, 28] + f[6, 30] + f[6, 31] - f[6, 32] - 
       f[6, 33] + f[6, 34] - f[6, 35] - f[6, 37] + 2*f[6, 40] - f[6, 41] + 
       f[6, 42] - f[6, 43] - f[6, 44]/2 + 4*f[6, 46] + 2*f[6, 53] - 
       2*f[6, 54])*HPL[{1}, 1 - u]*SPw4f1[v, u] + 
     (f[6, 12]/4 - f[6, 14]/4 + f[6, 15]/2 - f[6, 17]/2 - (3*f[6, 20])/8 - 
       f[6, 21]/8 + f[6, 22]/8 + (3*f[6, 23])/2 - f[6, 24]/8 - 
       (3*f[6, 25])/8 - f[6, 26]/2 - f[6, 27]/8 + f[6, 28]/8 - f[6, 29]/8 - 
       f[6, 30]/4 - f[6, 31]/4 + f[6, 32]/4 - f[6, 33]/8 + f[6, 34]/2 + 
       (5*f[6, 35])/8 + (3*f[6, 36])/8 - (3*f[6, 37])/8 - f[6, 38]/4 + 
       f[6, 39]/4 - f[6, 40]/4 - (3*f[6, 41])/4 - f[6, 42]/8 - f[6, 43]/2 - 
       (3*f[6, 44])/4 - f[6, 53]/8 + f[6, 54]/2)*HPL[{1}, 1 - u]*
      SPw4f2[u, v] + (-f[6, 11]/2 + f[6, 12]/4 - f[6, 13]/2 - f[6, 14]/4 + 
       f[6, 16]/4 - f[6, 17]/2 - f[6, 18]/4 - (5*f[6, 20])/8 - 
       (3*f[6, 21])/8 + f[6, 22]/8 + (3*f[6, 23])/4 - (7*f[6, 24])/16 - 
       (11*f[6, 26])/16 - f[6, 27]/8 + (3*f[6, 28])/8 - f[6, 29]/16 - 
       f[6, 30]/4 - f[6, 31]/4 + f[6, 32]/4 - f[6, 33]/16 + f[6, 34]/2 + 
       (7*f[6, 35])/16 + (5*f[6, 36])/8 - (5*f[6, 37])/8 - (11*f[6, 39])/8 - 
       (11*f[6, 40])/8 - f[6, 41]/4 - (5*f[6, 42])/8 - f[6, 43]/2 - 
       (5*f[6, 44])/4 + f[6, 53]/8 - (3*f[6, 54])/4)*HPL[{1}, 1 - u]*
      SPw4f2[v, u] + f[6, 14]*HPL[{1}, 1 - v]*SPw4f3[u, v] + 
     (-f[6, 20]/2 - 2*f[6, 23] - f[6, 24]/2 + f[6, 25] + f[6, 27] + 
       f[6, 29]/2 + f[6, 35]/2 + f[6, 38]/2 - 5*f[6, 39] - 5*f[6, 40] + 
       f[6, 41] - 2*f[6, 42] - f[6, 44]/2 - 2*f[6, 46] - 3*f[6, 54])*
      HPL[{1}, 1 - u]*SPw4f3[v, u] + (-2*f[6, 46] - f[6, 54])*HPL[{1}, 1 - u]*
      SPw4f4[u, v] + (-f[6, 14] - f[6, 44]/2 - f[6, 53]/2 + (3*f[6, 54])/2)*
      HPL[{1}, 1 - v]*SPw4f4[v, u] + (f[6, 22] - f[6, 24]/2 + f[6, 26]/2 + 
       f[6, 29]/2 - f[6, 30] - f[6, 31] + f[6, 32] + f[6, 33]/2 + 
       2*f[6, 39] + (5*f[6, 42])/2 + (5*f[6, 44])/2 - f[6, 53])*
      HPL[{1}, 1 - u]*SPw4f5[u, v] + (f[6, 18] + f[6, 21]/2 - f[6, 22]/2 + 
       2*f[6, 23] - f[6, 25]/2 - f[6, 27]/2 - f[6, 28] + f[6, 30]/2 + 
       f[6, 31]/2 - f[6, 32]/2 - f[6, 33]/2 + f[6, 34]/2 - f[6, 36]/2 - 
       f[6, 38] + 2*f[6, 39] + 2*f[6, 40] - (3*f[6, 41])/2 + f[6, 42]/4 - 
       f[6, 43]/2 - f[6, 44]/2 + f[6, 53]/2)*HPL[{1}, 1 - u]*SPw4f5[v, u] + 
     (-f[6, 28]/2 + f[6, 30]/2 + f[6, 31]/2 - f[6, 32]/2 - f[6, 34]/2 + 
       f[6, 35] - f[6, 36] + f[6, 37]/2 + f[6, 38]/2 + f[6, 41]/2 + 
       f[6, 42]/4 - f[6, 43]/2 + f[6, 44]/2 - f[6, 53] + (3*f[6, 54])/2)*
      HPL[{1}, 1 - v]*SPw4f5[v, u] - (f[6, 54]*HPL[{1}, 1 - u]*SPw4f6[u, v])/
      8 + (f[6, 43] + f[6, 44]/2)*HPL[{1}, 1 - v]*SPw4f7[u, v] + 
     (f[6, 18] - f[6, 28])*SPw5f11[u, v] + f[6, 38]*SPw5f13[u, v] + 
     (-f[6, 20]/4 - f[6, 24]/4 + f[6, 29]/4 - f[6, 35]/4 + f[6, 38]/4 - 
       f[6, 43]/2)*SPw5f14[u, v] + (-f[6, 53]/4 + (3*f[6, 54])/4)*
      SPw5f14[v, u] + (f[6, 27] + f[6, 35] + f[6, 37])*SPw5f15[u, v] + 
     (f[6, 27] - f[6, 30] - f[6, 31] + f[6, 32] - 2*f[6, 35] - f[6, 38] - 
       f[6, 41] - f[6, 42]/2 - f[6, 43] - f[6, 44] + f[6, 53] - 3*f[6, 54])*
      SPw5f15[v, u] + (f[6, 43]*SPw5f16[u, v])/2 + 
     (f[6, 53]/4 - (3*f[6, 54])/4)*SPw5f16[v, u] + f[6, 17]*SPw5f17[u, v] + 
     (-f[6, 28]/4 + f[6, 30]/4 + f[6, 31]/4 - f[6, 32]/4 - f[6, 34]/4 + 
       f[6, 35]/4 - f[6, 36]/2 + f[6, 37]/4 + f[6, 38]/4 + f[6, 41]/4 + 
       f[6, 42]/8 - f[6, 43]/4 + f[6, 44]/4 - f[6, 53]/2 + (3*f[6, 54])/4)*
      SPw5f18[u, v] - (f[6, 44]*SPw5f19[u, v])/2 + f[6, 40]*SPw5f2[v, u] - 
     f[6, 35]*SPw5f20[u, v] + f[6, 11]*SPw5f3[u, v] + f[6, 13]*SPw5f3[v, u] + 
     f[6, 2]*SPw5f4[u, v] + f[6, 14]*SPw5f4[v, u] + 
     (f[6, 22] - f[6, 53])*SPw5f5[u, v] + f[6, 28]*SPw5f5[v, u] + 
     f[6, 9]*SPw5f7[u, v] + f[6, 16]*SPw5f7[v, u] + f[6, 3]*SPw5f8[u, v] + 
     f[6, 44]*SPw5f8[v, u] + f[6, 29]*SPw5f9[u, v]
 
SPuvCoproductEntriesWeight6[u] = 
    (f[6, 50]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3)/6 + 
     (f[6, 7]/32 + f[6, 8]/16 - (3*f[6, 45])/8 - f[6, 50]/8 - 
       (3*f[6, 52])/16)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4 + 
     (f[6, 52]*HPL[{1}, 1 - v]^5)/80 + (-2*f[6, 10] + (3*f[6, 12])/4 - 
       f[6, 13] - f[6, 14]/2 - (5*f[6, 15])/4 - (5*f[6, 16])/4 - f[6, 17] + 
       f[6, 18]/4 - (3*f[6, 19])/2 - (7*f[6, 20])/16 - (13*f[6, 21])/16 + 
       (17*f[6, 22])/16 + 2*f[6, 23] - f[6, 24]/2 + (5*f[6, 25])/16 - 
       (29*f[6, 26])/16 - (17*f[6, 27])/16 + (13*f[6, 28])/16 - 
       (11*f[6, 29])/8 - (17*f[6, 30])/8 - (17*f[6, 31])/8 + 
       (17*f[6, 32])/8 - (11*f[6, 33])/8 + (7*f[6, 34])/4 - f[6, 35]/2 + 
       (47*f[6, 36])/16 - (47*f[6, 37])/16 - (19*f[6, 38])/8 - 
       (5*f[6, 39])/4 - 6*f[6, 40] - (5*f[6, 41])/16 - (125*f[6, 42])/32 - 
       (23*f[6, 43])/16 - (83*f[6, 44])/16 - 2*f[6, 47] + (21*f[6, 53])/16 - 
       (61*f[6, 54])/16)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u] + (f[6, 10]/2 + f[6, 12]/8 + f[6, 14]/8 + 
       f[6, 15]/4 + f[6, 16]/4 + f[6, 17]/4 - f[6, 18]/8 - f[6, 19]/2 + 
       f[6, 20]/16 + f[6, 21]/16 - (3*f[6, 22])/16 - (3*f[6, 23])/4 + 
       f[6, 25]/16 + (5*f[6, 26])/16 + (3*f[6, 27])/16 - f[6, 28]/16 + 
       f[6, 29]/4 + (3*f[6, 30])/8 + (3*f[6, 31])/8 - (3*f[6, 32])/8 + 
       f[6, 33]/4 - (3*f[6, 34])/8 - f[6, 35]/8 - (7*f[6, 36])/16 + 
       (7*f[6, 37])/16 + f[6, 38]/2 - (11*f[6, 39])/8 - (3*f[6, 40])/8 + 
       (13*f[6, 41])/16 + (5*f[6, 42])/32 + (13*f[6, 43])/16 + 
       (3*f[6, 44])/4 + f[6, 47]/2 - (3*f[6, 53])/16 + (5*f[6, 54])/16)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     (-f[6, 13]/3 + f[6, 43]/24 + f[6, 44]/48 - (2*f[6, 47])/3 + f[6, 53]/6 + 
       (13*f[6, 54])/8)*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u] + 
     f[6, 47]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     (-f[6, 18]/2 + (3*f[6, 21])/4 - (3*f[6, 22])/4 - 5*f[6, 23] + 
       (5*f[6, 25])/4 + 2*f[6, 26] + (5*f[6, 27])/4 - f[6, 28]/4 + 
       2*f[6, 29] + (3*f[6, 30])/2 + (3*f[6, 31])/2 - (3*f[6, 32])/2 + 
       (5*f[6, 33])/4 - 2*f[6, 34] - (9*f[6, 36])/4 + (11*f[6, 37])/4 + 
       (13*f[6, 38])/4 - (3*f[6, 39])/2 + (3*f[6, 40])/2 + (11*f[6, 41])/4 - 
       f[6, 42]/8 - (5*f[6, 43])/4 + (5*f[6, 44])/4 - (3*f[6, 53])/4 + 
       (9*f[6, 54])/4)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + (-f[6, 47] + f[6, 49] + f[6, 53]/4 - 2*f[6, 54])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (-f[6, 5]/4 + f[6, 15]/2 + f[6, 16]/2 + f[6, 17]/2 - f[6, 22]/8 + 
       f[6, 27]/4 - f[6, 28]/4 + f[6, 30]/8 + f[6, 31]/8 - f[6, 32]/8 + 
       f[6, 33]/8 - f[6, 34]/4 - f[6, 35]/8 - f[6, 36]/2 + f[6, 37]/4 + 
       f[6, 38]/4 - (5*f[6, 39])/4 - (3*f[6, 40])/4 + (3*f[6, 41])/4 + 
       f[6, 42]/8 + f[6, 43]/4 + f[6, 46]/2 - f[6, 53]/8 - f[6, 54]/4)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + 
     (f[6, 39] + f[6, 40] - f[6, 41]/2 + f[6, 42]/4 + f[6, 43]/2 + 
       f[6, 44]/2 - f[6, 53]/4 + (5*f[6, 54])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (-2*f[6, 19] - (3*f[6, 39])/2 - (3*f[6, 40])/2 + (3*f[6, 41])/4 + 
       f[6, 42]/8 + (3*f[6, 43])/4 + f[6, 44]/2 - f[6, 53]/4 + 
       (3*f[6, 54])/4)*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u] + 
     (-f[6, 15]/2 - f[6, 16]/2 - f[6, 18]/2 - f[6, 19] + f[6, 21]/8 - 
       (5*f[6, 22])/8 - (5*f[6, 23])/2 - f[6, 24]/8 + (5*f[6, 25])/8 + 
       (7*f[6, 26])/8 + (5*f[6, 27])/8 - (3*f[6, 28])/8 + (7*f[6, 29])/8 + 
       (3*f[6, 30])/2 + (3*f[6, 31])/2 - (3*f[6, 32])/2 + (3*f[6, 33])/4 - 
       (3*f[6, 34])/2 - f[6, 35]/8 - (15*f[6, 36])/8 + (17*f[6, 37])/8 + 
       (17*f[6, 38])/8 - (9*f[6, 39])/2 + f[6, 40] + (23*f[6, 41])/8 - 
       f[6, 42]/16 - f[6, 43]/8 + (15*f[6, 44])/8 - (9*f[6, 53])/8 + 
       (29*f[6, 54])/8)*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (-f[6, 21]/8 - (3*f[6, 22])/8 + f[6, 23]/2 + f[6, 24]/8 - f[6, 25]/8 - 
       (3*f[6, 26])/8 - f[6, 27]/8 - (5*f[6, 28])/8 - (3*f[6, 29])/8 + 
       f[6, 30] + f[6, 31] - f[6, 32] - f[6, 34]/2 - (9*f[6, 36])/8 + 
       (3*f[6, 37])/8 + (3*f[6, 38])/8 - (5*f[6, 39])/4 + (5*f[6, 40])/4 + 
       (9*f[6, 41])/8 - (7*f[6, 42])/16 + f[6, 43]/8 + f[6, 44]/8 - 
       (7*f[6, 53])/8 + (15*f[6, 54])/8)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v] + (f[6, 12] - 4*f[6, 19] + 2*f[6, 20] + 
       2*f[6, 21] - 2*f[6, 22] - 8*f[6, 23] + 2*f[6, 24] + 2*f[6, 25] + 
       4*f[6, 26] + 2*f[6, 27] - 2*f[6, 28] + 2*f[6, 29] + 4*f[6, 30] + 
       4*f[6, 31] - 4*f[6, 32] + (3*f[6, 33])/2 - 4*f[6, 34] + f[6, 35] - 
       6*f[6, 36] + 6*f[6, 37] + (7*f[6, 38])/2 - (19*f[6, 39])/2 - 
       (3*f[6, 40])/2 + (37*f[6, 41])/4 + (11*f[6, 42])/8 + (21*f[6, 43])/4 + 
       6*f[6, 44] - f[6, 51] - (7*f[6, 53])/2 + (5*f[6, 54])/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (-f[6, 12]/8 + f[6, 19] - f[6, 20]/2 - f[6, 21]/2 + f[6, 22]/2 + 
       2*f[6, 23] - f[6, 24]/2 - f[6, 25]/2 - f[6, 26] - f[6, 27]/2 + 
       f[6, 28]/2 - f[6, 29]/2 - f[6, 30] - f[6, 31] + f[6, 32] - 
       (3*f[6, 33])/8 + f[6, 34] - f[6, 35]/4 + (3*f[6, 36])/2 - 
       (3*f[6, 37])/2 - (7*f[6, 38])/8 + (21*f[6, 39])/8 + (5*f[6, 40])/8 - 
       (39*f[6, 41])/16 - (13*f[6, 42])/32 - (23*f[6, 43])/16 - 
       (13*f[6, 44])/8 - f[6, 51]/2 + (5*f[6, 53])/8 - f[6, 54]/8)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     (-f[6, 11]/6 - f[6, 13]/6 - f[6, 14]/6 + f[6, 15]/6 + f[6, 16]/12 - 
       f[6, 17]/3 - (7*f[6, 18])/12 + f[6, 19]/3 - (13*f[6, 21])/6 + 
       (25*f[6, 22])/12 + (65*f[6, 23])/12 - (13*f[6, 24])/48 - 
       (37*f[6, 25])/24 - (167*f[6, 26])/48 - (19*f[6, 27])/12 + 
       (29*f[6, 28])/12 - (167*f[6, 29])/48 - (53*f[6, 30])/12 - 
       (53*f[6, 31])/12 + (53*f[6, 32])/12 - (55*f[6, 33])/48 + 
       (41*f[6, 34])/12 + (11*f[6, 35])/16 + (35*f[6, 36])/6 - 
       (67*f[6, 37])/12 - (29*f[6, 38])/6 + (71*f[6, 39])/24 - 
       (101*f[6, 40])/24 - (61*f[6, 41])/12 + (19*f[6, 42])/24 + 
       (7*f[6, 43])/4 - 2*f[6, 44] + (13*f[6, 53])/8 - (55*f[6, 54])/12)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (-f[6, 19]/2 - f[6, 23] - 2*f[6, 39] - 2*f[6, 40] + f[6, 41] + 
       f[6, 42]/2 + f[6, 43] + f[6, 44] + (5*f[6, 54])/4)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - v] + (-f[6, 18]/4 + (5*f[6, 21])/8 - 
       (5*f[6, 22])/8 - (7*f[6, 23])/2 + (7*f[6, 25])/8 + (3*f[6, 26])/2 + 
       (7*f[6, 27])/8 - (5*f[6, 28])/8 + (3*f[6, 29])/2 + (3*f[6, 30])/2 + 
       (3*f[6, 31])/2 - (3*f[6, 32])/2 + (7*f[6, 33])/8 - (7*f[6, 34])/4 - 
       (19*f[6, 36])/8 + (19*f[6, 37])/8 + (21*f[6, 38])/8 - (7*f[6, 39])/4 + 
       (7*f[6, 40])/4 + (21*f[6, 41])/8 + (25*f[6, 42])/16 - (7*f[6, 43])/8 + 
       (23*f[6, 44])/8 + 2*f[6, 47] - 2*f[6, 49] - (13*f[6, 53])/8 + 
       (53*f[6, 54])/8)*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (f[6, 43] + f[6, 53] - f[6, 54])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u] + (-f[6, 35]/2 + f[6, 39] + f[6, 40] + 
       (3*f[6, 41])/4 + f[6, 42]/8 + f[6, 43]/4 + f[6, 44]/4 - f[6, 53] + 
       2*f[6, 54])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-f[6, 28]/4 + f[6, 30]/4 + f[6, 31]/4 - f[6, 32]/4 - f[6, 34]/4 - 
       f[6, 36]/2 + f[6, 37]/4 + f[6, 38]/4 - f[6, 39]/2 + f[6, 40]/2 + 
       f[6, 41]/2 + f[6, 42]/4 + f[6, 44]/2 - f[6, 53]/4 + f[6, 54]/2)*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((-3*f[6, 43])/2 - (3*f[6, 44])/4 + 3*f[6, 51] + (9*f[6, 53])/4 - 
       3*f[6, 54])*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-3*f[6, 6] - (3*f[6, 11])/4 - (3*f[6, 13])/4 - (3*f[6, 14])/4 - 
       (3*f[6, 16])/8 - (3*f[6, 17])/2 - (21*f[6, 19])/4 + (3*f[6, 21])/8 - 
       (3*f[6, 22])/4 - (15*f[6, 23])/8 + (3*f[6, 24])/32 + (9*f[6, 25])/16 + 
       (21*f[6, 26])/32 - (3*f[6, 28])/8 + (21*f[6, 29])/32 + 
       (3*f[6, 30])/2 + (3*f[6, 31])/2 - (3*f[6, 32])/2 + (21*f[6, 33])/32 - 
       (3*f[6, 34])/4 + (81*f[6, 35])/32 - (9*f[6, 36])/8 + (9*f[6, 37])/8 + 
       (15*f[6, 38])/8 - (105*f[6, 39])/16 - (57*f[6, 40])/16 + 
       (15*f[6, 41])/4 + (3*f[6, 42])/4 + (9*f[6, 43])/4 + (3*f[6, 44])/2 - 
       (3*f[6, 53])/8 + (9*f[6, 54])/4)*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v] + ((3*f[6, 7])/8 - (3*f[6, 8])/4 - f[6, 50])*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*SPw2f1[u, v] + 
     f[6, 50]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*SPw2f1[u, v] + 
     (f[6, 53]/2 - 3*f[6, 54])*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      SPw2f1[u, v] + (f[6, 10] - f[6, 12]/4 + f[6, 13] + f[6, 14]/4 + 
       (3*f[6, 15])/4 + (3*f[6, 16])/4 + f[6, 17]/2 - f[6, 18]/4 + f[6, 19] - 
       (5*f[6, 20])/16 + f[6, 21]/16 - (5*f[6, 22])/16 + f[6, 23]/2 - 
       f[6, 24]/8 - (9*f[6, 25])/16 + (3*f[6, 26])/16 + (5*f[6, 27])/16 - 
       f[6, 28]/16 + f[6, 29]/2 + (5*f[6, 30])/8 + (5*f[6, 31])/8 - 
       (5*f[6, 32])/8 + f[6, 33]/2 - f[6, 34]/4 + f[6, 35]/8 - 
       (11*f[6, 36])/16 + (11*f[6, 37])/16 + (7*f[6, 38])/8 + f[6, 39]/2 + 
       (9*f[6, 40])/4 - (7*f[6, 41])/16 + (49*f[6, 42])/32 + 
       (7*f[6, 43])/16 + (29*f[6, 44])/16 + 2*f[6, 47] - (5*f[6, 53])/16 - 
       (23*f[6, 54])/16)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*SPw2f1[u, v] + 
     (-f[6, 6] - f[6, 10] + f[6, 11]/4 + f[6, 12]/2 + f[6, 13]/4 - 
       f[6, 15]/4 - f[6, 16]/8 + (17*f[6, 19])/4 + f[6, 20]/2 - f[6, 21]/4 + 
       f[6, 22]/8 - (9*f[6, 23])/8 + f[6, 24]/32 + (7*f[6, 25])/16 - 
       f[6, 26]/32 + f[6, 27]/8 - (17*f[6, 29])/32 - f[6, 30]/2 - 
       f[6, 31]/2 + f[6, 32]/2 - (21*f[6, 33])/32 - f[6, 34]/2 - 
       (53*f[6, 35])/32 + f[6, 36]/4 - f[6, 37]/2 - (3*f[6, 38])/4 - 
       (27*f[6, 39])/16 - (43*f[6, 40])/16 + (7*f[6, 41])/4 - 
       (23*f[6, 42])/8 - f[6, 43]/4 - (17*f[6, 44])/8 - 3*f[6, 47] - 
       (17*f[6, 53])/16 + (45*f[6, 54])/16)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*SPw2f1[u, v] + (f[6, 53]/2 - (5*f[6, 54])/2)*
      HPL[{0, 0, 1}, 1 - u]*SPw2f1[u, v] + 
     (-f[6, 12] - 8*f[6, 19] + f[6, 21]/2 - f[6, 22]/2 - 2*f[6, 23] + 
       f[6, 24]/2 + f[6, 25] + f[6, 26]/2 + f[6, 27]/2 - f[6, 28]/2 + 
       f[6, 29]/2 + f[6, 30] + f[6, 31] - f[6, 32] + f[6, 33]/2 - 
       f[6, 34]/2 + f[6, 35] - (3*f[6, 36])/2 + (3*f[6, 37])/2 + f[6, 38] + 
       (7*f[6, 39])/2 + (11*f[6, 40])/2 - (5*f[6, 41])/4 + (17*f[6, 42])/8 - 
       (9*f[6, 43])/4 + (3*f[6, 44])/2 + (3*f[6, 53])/2 + (3*f[6, 54])/2)*
      HPL[{0, 1, 1}, 1 - v]*SPw2f1[u, v] + 
     (-f[6, 45] - f[6, 50] - (3*f[6, 52])/2)*HPL[{1}, 1 - u]*SPw2f1[u, v]^2 + 
     (-2*f[6, 45] - 2*f[6, 52])*HPL[{1}, 1 - v]*SPw2f1[u, v]^2 + 
     (f[6, 6] + 2*f[6, 10] - f[6, 11]/4 - f[6, 12]/2 - f[6, 13]/4 + 
       f[6, 14]/4 + (5*f[6, 15])/4 + (9*f[6, 16])/8 + f[6, 17]/2 - 
       f[6, 18]/2 - 4*f[6, 19] - 2*f[6, 20] - (3*f[6, 21])/4 + 
       (3*f[6, 22])/8 + (41*f[6, 23])/8 - (41*f[6, 24])/32 - 
       (31*f[6, 25])/16 - (55*f[6, 26])/32 - (5*f[6, 27])/8 + f[6, 28] + 
       (9*f[6, 29])/32 - f[6, 30]/2 - f[6, 31]/2 + f[6, 32]/2 + 
       (17*f[6, 33])/32 + 2*f[6, 34] + (37*f[6, 35])/32 + (7*f[6, 36])/4 - 
       (3*f[6, 37])/2 + (3*f[6, 38])/8 + (111*f[6, 39])/16 + 
       (111*f[6, 40])/16 - 7*f[6, 41] + (31*f[6, 42])/8 - 3*f[6, 43] + 
       (3*f[6, 44])/4 + 2*f[6, 47] + f[6, 53]/2 + (11*f[6, 54])/2)*
      HPL[{1}, 1 - u]^2*SPw3f1[v, u] + (-f[6, 10] - f[6, 14]/4 - 
       (3*f[6, 15])/4 - (3*f[6, 16])/4 - f[6, 17]/2 + f[6, 18]/4 - f[6, 19] + 
       (3*f[6, 20])/4 + f[6, 21]/4 - (9*f[6, 23])/4 + (7*f[6, 24])/16 + 
       f[6, 25] + (9*f[6, 26])/16 - f[6, 28]/4 - (3*f[6, 29])/16 - 
       (3*f[6, 33])/16 - f[6, 34]/2 + f[6, 35]/16 - f[6, 36]/4 + f[6, 37]/4 - 
       f[6, 38]/4 - f[6, 39]/8 - (5*f[6, 40])/8 + (5*f[6, 41])/4 - 
       (7*f[6, 42])/8 - f[6, 43]/4 - (3*f[6, 44])/4 - f[6, 47] - f[6, 53]/2 - 
       f[6, 54])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*SPw3f1[v, u] + 
     (-f[6, 10] - f[6, 14]/4 - (3*f[6, 15])/4 - (3*f[6, 16])/4 - f[6, 17]/2 + 
       f[6, 18]/4 - f[6, 19] + (7*f[6, 20])/8 + (3*f[6, 21])/8 - f[6, 22]/8 - 
       (11*f[6, 23])/4 + (9*f[6, 24])/16 + (9*f[6, 25])/8 + 
       (13*f[6, 26])/16 + f[6, 27]/8 - (3*f[6, 28])/8 - f[6, 29]/16 + 
       f[6, 30]/4 + f[6, 31]/4 - f[6, 32]/4 - f[6, 33]/16 - (3*f[6, 34])/4 + 
       (3*f[6, 35])/16 - (5*f[6, 36])/8 + (5*f[6, 37])/8 - (5*f[6, 39])/8 - 
       (5*f[6, 40])/8 + (7*f[6, 41])/4 - (3*f[6, 42])/4 - (3*f[6, 44])/8 - 
       f[6, 47] - f[6, 53]/8 - f[6, 54])*HPL[{1}, 1 - v]^2*SPw3f1[v, u] + 
     (-f[6, 15] - f[6, 20]/8 - f[6, 21]/8 + f[6, 22]/8 - f[6, 24]/8 + 
       (3*f[6, 25])/8 - f[6, 26]/4 - (5*f[6, 27])/8 + f[6, 28]/8 - 
       f[6, 29]/8 - f[6, 30]/4 - f[6, 31]/4 + f[6, 32]/4 + (3*f[6, 33])/8 + 
       f[6, 34]/4 - f[6, 35]/8 + (3*f[6, 36])/8 - (3*f[6, 37])/8 + 
       f[6, 38]/4 + f[6, 39]/4 - f[6, 40]/4 - (7*f[6, 41])/8 - 
       (39*f[6, 42])/16 - (5*f[6, 43])/8 - (7*f[6, 44])/8 + 2*f[6, 49] + 
       f[6, 53]/8 - (7*f[6, 54])/8)*HPL[{0, 1}, 1 - u]*SPw3f1[v, u] + 
     (2*f[6, 10] + f[6, 14]/2 + (3*f[6, 15])/2 + (3*f[6, 16])/2 + f[6, 17] - 
       f[6, 18]/2 + 2*f[6, 19] - (3*f[6, 20])/2 - f[6, 21]/2 + 
       (9*f[6, 23])/2 - (7*f[6, 24])/8 - 2*f[6, 25] - (9*f[6, 26])/8 + 
       f[6, 28]/2 + (3*f[6, 29])/8 + (3*f[6, 33])/8 + f[6, 34] - f[6, 35]/8 + 
       f[6, 36]/2 - f[6, 37]/2 + f[6, 38]/2 + f[6, 39]/4 + (5*f[6, 40])/4 - 
       (5*f[6, 41])/2 + (7*f[6, 42])/4 + f[6, 43]/2 + (3*f[6, 44])/2 + 
       2*f[6, 47] + 3*f[6, 54])*SPw2f1[u, v]*SPw3f1[v, u] + 
     (-f[6, 4]/2 + f[6, 7]/8 + (3*f[6, 8])/4 - 3*f[6, 45] + f[6, 52])*
      HPL[{1}, 1 - u]^2*SPw3f2[u, v] - f[6, 10]*HPL[{0, 1}, 1 - u]*
      SPw3f2[u, v] + f[6, 47]*HPL[{0, 1}, 1 - v]*SPw3f2[u, v] + 
     (-f[6, 4]/4 + f[6, 7]/4 + f[6, 8]/4 - f[6, 45] + (5*f[6, 52])/4)*
      HPL[{1}, 1 - u]^2*SPw3f2[v, u] + (f[6, 52]*HPL[{1}, 1 - v]^2*
       SPw3f2[v, u])/2 + (f[6, 12]/4 + f[6, 15]/2 + f[6, 16]/2 - f[6, 18]/4 + 
       f[6, 19] - (3*f[6, 20])/4 - f[6, 21]/4 + 2*f[6, 23] - (3*f[6, 24])/8 - 
       (3*f[6, 25])/4 - (5*f[6, 26])/8 + f[6, 28]/4 + f[6, 29]/8 + 
       f[6, 33]/8 + f[6, 34]/2 + (3*f[6, 35])/8 + f[6, 36]/4 - f[6, 37]/4 + 
       f[6, 38]/4 - (7*f[6, 39])/4 - (5*f[6, 40])/4 - (3*f[6, 41])/8 + 
       f[6, 42]/16 + (5*f[6, 43])/8 + f[6, 44]/8 + f[6, 54]/8)*
      HPL[{0, 1}, 1 - u]*SPw3f2[v, u] + (-f[6, 53]/8 + (3*f[6, 54])/4)*
      HPL[{0, 1}, 1 - v]*SPw3f2[v, u] + 
     (f[6, 54]*HPL[{1}, 1 - u]*SPw4f1[v, u])/2 + 
     (-2*f[6, 19] - f[6, 39] - f[6, 40] + f[6, 41]/2 - f[6, 42]/4 + 
       f[6, 43]/2 - f[6, 54]/2)*HPL[{1}, 1 - v]*SPw4f4[v, u] + 
     (-f[6, 39] - f[6, 40] + f[6, 41]/2 + f[6, 42]/4 + f[6, 43]/2 + 
       f[6, 44]/2)*HPL[{1}, 1 - v]*SPw4f5[v, u] + (f[6, 42]/2 + f[6, 44]/2)*
      SPw5f10[v, u] + f[6, 41]*SPw5f12[u, v] + 
     (f[6, 20]/4 + f[6, 21]/4 - f[6, 22]/4 - f[6, 23] + f[6, 24]/4 + 
       f[6, 25]/4 + f[6, 26]/2 + f[6, 27]/4 - f[6, 28]/4 + f[6, 29]/4 + 
       f[6, 30]/2 + f[6, 31]/2 - f[6, 32]/2 + f[6, 33]/4 - f[6, 34]/2 + 
       f[6, 35]/4 - (3*f[6, 36])/4 + (3*f[6, 37])/4 + f[6, 38]/2 - f[6, 39] + 
       f[6, 41] + f[6, 42]/4 + f[6, 43]/2 + (3*f[6, 44])/4 - f[6, 53]/4 + 
       f[6, 54]/2)*SPw5f16[u, v] + (f[6, 45] + f[6, 50])*SPw5f3[u, v] + 
     f[6, 51]*SPw5f4[u, v] + f[6, 47]*SPw5f7[u, v] + f[6, 54]*SPw5f9[v, u]
 
SPuvCoproductEntriesWeight6[1 - v] = 
    (-f[6, 47]/2 + f[6, 53]/64 + (67*f[6, 54])/64)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^3 + (f[6, 10]/4 + f[6, 11]/4 + f[6, 12]/48 + 
       (5*f[6, 14])/48 + (11*f[6, 15])/48 - f[6, 16]/16 + (5*f[6, 17])/24 - 
       f[6, 18]/16 - f[6, 19]/2 - (7*f[6, 20])/24 - f[6, 21]/12 - 
       f[6, 22]/24 + (41*f[6, 23])/48 - (25*f[6, 24])/192 - 
       (17*f[6, 25])/48 - (17*f[6, 26])/64 - f[6, 27]/12 + f[6, 28]/12 + 
       (5*f[6, 29])/192 + f[6, 30]/12 + f[6, 31]/12 - f[6, 32]/12 + 
       (5*f[6, 33])/192 + (3*f[6, 34])/16 - (7*f[6, 35])/192 + f[6, 36]/8 - 
       f[6, 37]/8 + (5*f[6, 38])/24 - (17*f[6, 39])/96 + (11*f[6, 40])/96 - 
       (9*f[6, 41])/32 + (37*f[6, 42])/192 - (11*f[6, 43])/96 + 
       (9*f[6, 44])/32 + f[6, 53]/12 + (133*f[6, 54])/96)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^4 + (-f[6, 22]/8 - f[6, 39]/4 - f[6, 40]/4 + 
       f[6, 41]/8 + (9*f[6, 42])/16 + f[6, 43]/8 + (5*f[6, 44])/8 + 
       f[6, 53]/16 + (3*f[6, 54])/16)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v] + (-f[6, 21]/8 + f[6, 22]/8 - f[6, 25]/8 - 
       f[6, 26]/4 - f[6, 27]/8 - f[6, 28]/8 - f[6, 29]/4 - f[6, 33]/8 - 
       f[6, 36]/8 - f[6, 37]/8 - f[6, 38]/8 + (3*f[6, 39])/4 + f[6, 40]/4 + 
       f[6, 41]/8 + (9*f[6, 42])/16 + f[6, 43]/8 + (5*f[6, 44])/8 - 
       (3*f[6, 53])/8 + (3*f[6, 54])/8)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u] + (f[6, 15] + f[6, 16] - f[6, 21]/2 + 
       (5*f[6, 22])/2 + 3*f[6, 23] - f[6, 24]/4 - f[6, 25]/2 - 
       (3*f[6, 26])/4 - f[6, 27]/2 + 2*f[6, 28] - (3*f[6, 29])/4 - 
       (9*f[6, 30])/2 - (9*f[6, 31])/2 + (9*f[6, 32])/2 - f[6, 33]/4 + 
       (5*f[6, 34])/2 + f[6, 35]/4 + (9*f[6, 36])/2 - 4*f[6, 37] - 
       3*f[6, 38] + (7*f[6, 39])/2 - (13*f[6, 40])/2 - (7*f[6, 41])/2 + 
       (5*f[6, 42])/4 + (3*f[6, 43])/2 - (3*f[6, 44])/2 + (3*f[6, 53])/2 - 
       8*f[6, 54])*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     f[6, 48]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (f[6, 11]/6 + f[6, 13]/6 + f[6, 14]/6 - f[6, 15]/6 - f[6, 16]/12 + 
       f[6, 17]/3 + (7*f[6, 18])/12 + (5*f[6, 19])/3 + f[6, 21]/6 - 
       f[6, 22]/12 + (31*f[6, 23])/12 + (13*f[6, 24])/48 - (11*f[6, 25])/24 - 
       (25*f[6, 26])/48 - (5*f[6, 27])/12 - (5*f[6, 28])/12 - 
       (25*f[6, 29])/48 - f[6, 30]/12 - f[6, 31]/12 + f[6, 32]/12 - 
       (17*f[6, 33])/48 + (7*f[6, 34])/12 - (11*f[6, 35])/16 + f[6, 36]/6 - 
       (5*f[6, 37])/12 - (7*f[6, 38])/6 + (73*f[6, 39])/24 + 
       (53*f[6, 40])/24 - (23*f[6, 41])/12 - (25*f[6, 42])/24 - 
       (3*f[6, 43])/4 - (7*f[6, 44])/4 + (3*f[6, 53])/8 - (11*f[6, 54])/12)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (-f[6, 18]/2 + f[6, 19] - (5*f[6, 21])/4 + (5*f[6, 22])/4 + 2*f[6, 23] - 
       f[6, 24]/4 - (3*f[6, 25])/4 - (7*f[6, 26])/4 - (3*f[6, 27])/4 + 
       (5*f[6, 28])/4 - (7*f[6, 29])/4 - 2*f[6, 30] - 2*f[6, 31] + 
       2*f[6, 32] - f[6, 33] + (3*f[6, 34])/2 + (11*f[6, 36])/4 - 
       (11*f[6, 37])/4 - (9*f[6, 38])/4 + (3*f[6, 39])/2 - (3*f[6, 40])/2 - 
       (9*f[6, 41])/4 + (7*f[6, 42])/8 + (3*f[6, 43])/4 - f[6, 44]/4 + 
       f[6, 53]/4 - (13*f[6, 54])/4)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (-f[6, 53]/8 + f[6, 54]/8)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - v] + (-f[6, 5]/2 + f[6, 9] - f[6, 11] - f[6, 12]/2 - 
       f[6, 13] + f[6, 16]/2 - f[6, 17] + f[6, 20]/4 - (3*f[6, 23])/2 + 
       f[6, 24]/8 + f[6, 25]/2 + (5*f[6, 26])/8 - (3*f[6, 27])/4 + 
       f[6, 28]/4 - f[6, 29]/8 + f[6, 30]/4 + f[6, 31]/4 - f[6, 32]/4 + 
       f[6, 33]/8 + f[6, 34]/4 + (11*f[6, 35])/8 + f[6, 36]/2 - f[6, 37]/4 - 
       (3*f[6, 39])/4 + f[6, 40]/4 + (7*f[6, 41])/8 - (13*f[6, 42])/16 + 
       (15*f[6, 43])/8 - (11*f[6, 44])/8 - 2*f[6, 46] + f[6, 53]/4 + 
       f[6, 54])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (f[6, 12] - f[6, 20]/2 - f[6, 21]/2 + f[6, 22]/2 + 2*f[6, 23] - 
       f[6, 24]/2 - f[6, 25]/2 - f[6, 26] - f[6, 28]/4 + f[6, 29]/2 - 
       f[6, 30]/4 - f[6, 31]/4 + f[6, 32]/4 - f[6, 33]/2 + f[6, 34]/4 - 
       f[6, 35]/4 - f[6, 37]/4 + f[6, 38]/4 - f[6, 41]/4 + (3*f[6, 42])/8 - 
       (3*f[6, 43])/4 + f[6, 44]/4 + 2*f[6, 46] - f[6, 53] + (7*f[6, 54])/4)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + (f[6, 42]/2 + f[6, 44]/2)*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u] + (-f[6, 42] - f[6, 44])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (f[6, 28]/4 - f[6, 30]/4 + f[6, 31]/4 + f[6, 32]/4 - f[6, 33]/2 + 
       f[6, 34]/4 + f[6, 36]/2 - f[6, 37]/4 - f[6, 38]/4 + f[6, 39]/2 - 
       f[6, 40]/2 - f[6, 41]/2 - f[6, 42]/4 - f[6, 44]/2 + f[6, 53] - 
       (3*f[6, 54])/4)*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-f[6, 1] + f[6, 18] + 4*f[6, 19] - f[6, 21] - 2*f[6, 22] + 4*f[6, 23] + 
       f[6, 24] - 2*f[6, 25] - 2*f[6, 26] - 2*f[6, 27] - 2*f[6, 29] + 
       3*f[6, 30] + 3*f[6, 31] - 6*f[6, 32] - f[6, 33] - f[6, 34] - 
       f[6, 36] + 2*f[6, 37] - f[6, 38] + 2*f[6, 39] + 6*f[6, 40] + 
       4*f[6, 41] + 2*f[6, 42] + 2*f[6, 43] + 4*f[6, 44] - f[6, 53] + 
       9*f[6, 54])*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     (-8*f[6, 19] + 3*f[6, 21] - 9*f[6, 22] - 16*f[6, 23] + 3*f[6, 25] + 
       6*f[6, 26] + 3*f[6, 27] - 7*f[6, 28] + 6*f[6, 29] + 17*f[6, 30] + 
       16*f[6, 31] - 16*f[6, 32] + 2*f[6, 33] - 10*f[6, 34] - 17*f[6, 36] + 
       16*f[6, 37] + 13*f[6, 38] - 26*f[6, 39] + 14*f[6, 40] + 17*f[6, 41] + 
       f[6, 42]/2 - 3*f[6, 43] + 9*f[6, 44] - 5*f[6, 53] + 21*f[6, 54])*
      HPL[{0, 0, 0, 1, 1}, 1 - u] + (-2*f[6, 19] + (3*f[6, 21])/2 - 
       (7*f[6, 22])/2 - 8*f[6, 23] + (3*f[6, 25])/2 + 3*f[6, 26] + 
       (3*f[6, 27])/2 - (7*f[6, 28])/2 + 3*f[6, 29] + 7*f[6, 30] + 
       7*f[6, 31] - 7*f[6, 32] + (3*f[6, 33])/2 - 5*f[6, 34] - 
       (17*f[6, 36])/2 + (15*f[6, 37])/2 + (13*f[6, 38])/2 - 11*f[6, 39] + 
       7*f[6, 40] + (17*f[6, 41])/2 + (9*f[6, 42])/4 - (3*f[6, 43])/2 + 
       (13*f[6, 44])/2 - (7*f[6, 53])/2 + (21*f[6, 54])/2)*
      HPL[{0, 0, 1, 0, 1}, 1 - u] + (3*f[6, 18] - 6*f[6, 19] + 
       (31*f[6, 21])/4 - (31*f[6, 22])/4 - 15*f[6, 23] + f[6, 24]/4 + 
       (19*f[6, 25])/4 + (49*f[6, 26])/4 + (19*f[6, 27])/4 - 
       (31*f[6, 28])/4 + (49*f[6, 29])/4 + (25*f[6, 30])/2 + 
       (25*f[6, 31])/2 - (25*f[6, 32])/2 + 5*f[6, 33] - (19*f[6, 34])/2 - 
       (69*f[6, 36])/4 + (69*f[6, 37])/4 + (57*f[6, 38])/4 - 
       (19*f[6, 39])/2 + (19*f[6, 40])/2 + (57*f[6, 41])/4 + (9*f[6, 42])/8 - 
       (19*f[6, 43])/4 + (33*f[6, 44])/4 - (7*f[6, 53])/4 + (57*f[6, 54])/4)*
      HPL[{0, 0, 1, 1, 1}, 1 - u] + ((3*f[6, 18])/2 - 3*f[6, 19] + 
       (15*f[6, 21])/4 - (15*f[6, 22])/4 - 8*f[6, 23] + f[6, 24]/4 + 
       (9*f[6, 25])/4 + (23*f[6, 26])/4 + (9*f[6, 27])/4 - (17*f[6, 28])/4 + 
       (23*f[6, 29])/4 + 7*f[6, 30] + 7*f[6, 31] - 7*f[6, 32] + 2*f[6, 33] - 
       5*f[6, 34] - (37*f[6, 36])/4 + (35*f[6, 37])/4 + (29*f[6, 38])/4 - 
       (11*f[6, 39])/2 + (11*f[6, 40])/2 + (31*f[6, 41])/4 - f[6, 42]/8 - 
       (9*f[6, 43])/4 + (15*f[6, 44])/4 - (7*f[6, 53])/4 + (33*f[6, 54])/4)*
      HPL[{0, 1, 0, 1, 1}, 1 - u] - 3*f[6, 23]*HPL[{0, 1, 1, 1, 1}, 1 - u] + 
     (-f[6, 19]/2 + f[6, 23]/4 - f[6, 39] - f[6, 40] + f[6, 41]/2 + 
       f[6, 42]/8 + f[6, 43]/2 + (3*f[6, 44])/8 + f[6, 54]/2)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*SPw2f1[u, v] + 
     (-f[6, 11]/4 - f[6, 13]/4 - f[6, 14]/4 - f[6, 16]/8 - f[6, 17]/2 - 
       (7*f[6, 19])/4 + f[6, 21]/8 - f[6, 22]/4 - (5*f[6, 23])/8 + 
       f[6, 24]/32 + (3*f[6, 25])/16 + (7*f[6, 26])/32 - f[6, 28]/8 + 
       (7*f[6, 29])/32 + f[6, 30]/2 + f[6, 31]/2 - f[6, 32]/2 + 
       (7*f[6, 33])/32 - f[6, 34]/4 + (27*f[6, 35])/32 - (3*f[6, 36])/8 + 
       (3*f[6, 37])/8 + (5*f[6, 38])/8 - (35*f[6, 39])/16 - 
       (19*f[6, 40])/16 + (5*f[6, 41])/4 + f[6, 42]/4 + (3*f[6, 43])/4 + 
       f[6, 44]/2 - f[6, 53]/16 + (9*f[6, 54])/8)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*SPw2f1[u, v] + (f[6, 10]/2 + f[6, 11]/2 + 
       f[6, 12]/24 + (5*f[6, 14])/24 + (11*f[6, 15])/24 - f[6, 16]/8 + 
       (5*f[6, 17])/12 - f[6, 18]/8 - (3*f[6, 19])/4 - (7*f[6, 20])/12 - 
       f[6, 21]/6 - f[6, 22]/12 + (41*f[6, 23])/24 - (25*f[6, 24])/96 - 
       (17*f[6, 25])/24 - (17*f[6, 26])/32 - f[6, 27]/6 + f[6, 28]/6 + 
       (5*f[6, 29])/96 + f[6, 30]/6 + f[6, 31]/6 - f[6, 32]/6 + 
       (5*f[6, 33])/96 + (3*f[6, 34])/8 - (7*f[6, 35])/96 + f[6, 36]/4 - 
       f[6, 37]/4 + (5*f[6, 38])/12 - (17*f[6, 39])/48 + (11*f[6, 40])/48 - 
       (9*f[6, 41])/16 + (37*f[6, 42])/96 - (11*f[6, 43])/48 + 
       (9*f[6, 44])/16 + (5*f[6, 53])/24 + (121*f[6, 54])/48)*
      HPL[{1}, 1 - v]^3*SPw2f1[u, v] + (-f[6, 22]/4 + f[6, 53]/4)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*SPw2f1[u, v] + 
     (-f[6, 22]/4 - f[6, 39]/2 - f[6, 40]/2 + f[6, 41]/4 + (9*f[6, 42])/8 + 
       f[6, 43]/4 + (5*f[6, 44])/4 + f[6, 53]/8 + (3*f[6, 54])/8)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*SPw2f1[u, v] + 
     (-f[6, 15] - f[6, 16] - f[6, 18] + 2*f[6, 19] - f[6, 22] - 5*f[6, 23] - 
       f[6, 24]/4 + f[6, 25] + (5*f[6, 26])/4 + f[6, 27] + (5*f[6, 29])/4 + 
       2*f[6, 30] + 2*f[6, 31] - 2*f[6, 32] + (5*f[6, 33])/4 - 2*f[6, 34] - 
       f[6, 35]/4 - 2*f[6, 36] + 3*f[6, 37] + 3*f[6, 38] - (3*f[6, 39])/2 + 
       (9*f[6, 40])/2 + 2*f[6, 41] - 2*f[6, 43] + 2*f[6, 44] - f[6, 53] + 
       6*f[6, 54])*HPL[{0, 0, 1}, 1 - u]*SPw2f1[u, v] + 
     (-f[6, 12] + f[6, 20]/2 - 2*f[6, 23] + f[6, 24]/2 + f[6, 25]/2 + 
       f[6, 26] - f[6, 27]/2 - f[6, 29]/2 - f[6, 38]/2 + f[6, 39] + 
       f[6, 40] + f[6, 41]/4 - (19*f[6, 42])/8 + (5*f[6, 43])/4 - 
       (9*f[6, 44])/4 - 2*f[6, 46] - f[6, 54])*HPL[{0, 1, 1}, 1 - v]*
      SPw2f1[u, v] + (f[6, 23]/2 + f[6, 54]/2)*HPL[{1}, 1 - u]*
      SPw2f1[u, v]^2 + (-f[6, 10] - f[6, 14]/4 - f[6, 15]/4 - f[6, 16]/4 - 
       f[6, 17]/2 - (3*f[6, 19])/2 + f[6, 20]/2 + f[6, 21]/8 - 
       (3*f[6, 22])/8 - (11*f[6, 23])/4 + (5*f[6, 24])/16 + (9*f[6, 25])/8 + 
       (7*f[6, 26])/16 + (3*f[6, 27])/8 - (3*f[6, 28])/8 - f[6, 29]/16 + 
       f[6, 30]/2 + f[6, 31]/2 - f[6, 32]/2 - (3*f[6, 33])/16 - f[6, 34] - 
       (5*f[6, 35])/16 - (7*f[6, 36])/8 + (5*f[6, 37])/8 + (3*f[6, 38])/8 - 
       (17*f[6, 39])/8 - (9*f[6, 40])/8 + (19*f[6, 41])/8 - 
       (25*f[6, 42])/16 - (5*f[6, 43])/8 - (7*f[6, 44])/8 - f[6, 47] - 
       f[6, 53]/4 + f[6, 54]/8)*HPL[{1}, 1 - v]*SPw2f1[u, v]^2 + 
     (-f[6, 9] - f[6, 10] - f[6, 11] + 2*f[6, 13] - (7*f[6, 14])/4 - 
       (3*f[6, 15])/4 - f[6, 16]/4 - (3*f[6, 17])/2 - (3*f[6, 19])/2 + 
       (9*f[6, 20])/8 + (5*f[6, 21])/8 - (3*f[6, 22])/8 - (17*f[6, 23])/4 + 
       (11*f[6, 24])/16 + (13*f[6, 25])/8 + (23*f[6, 26])/16 + 
       (7*f[6, 27])/8 - (5*f[6, 28])/8 + (5*f[6, 29])/16 + f[6, 30]/2 + 
       f[6, 31]/2 - f[6, 32]/2 + (5*f[6, 33])/16 - (3*f[6, 34])/2 + 
       (21*f[6, 35])/16 - (13*f[6, 36])/8 + (11*f[6, 37])/8 + f[6, 38]/4 - 
       (29*f[6, 39])/8 - (29*f[6, 40])/8 + (27*f[6, 41])/8 - 
       (9*f[6, 42])/16 - (3*f[6, 43])/8 - (7*f[6, 44])/8 - (5*f[6, 53])/8 - 
       (19*f[6, 54])/8)*HPL[{1}, 1 - v]^2*SPw3f1[u, v] + 
     (-2*f[6, 48] + f[6, 53])*HPL[{0, 1}, 1 - v]*SPw3f1[u, v] + 
     (f[6, 42]/4 + f[6, 44]/4)*HPL[{1}, 1 - u]^2*SPw3f1[v, u] + 
     (-f[6, 9] - f[6, 10] - f[6, 11] + 2*f[6, 13] - (7*f[6, 14])/4 - 
       (3*f[6, 15])/4 - f[6, 16]/4 - (3*f[6, 17])/2 + f[6, 18]/4 - f[6, 19] + 
       (7*f[6, 20])/8 + (3*f[6, 21])/8 - f[6, 22]/8 - (13*f[6, 23])/4 + 
       (7*f[6, 24])/16 + (11*f[6, 25])/8 + (15*f[6, 26])/16 + 
       (5*f[6, 27])/8 - (5*f[6, 28])/8 + f[6, 29]/16 + f[6, 33]/16 - 
       f[6, 34] + (17*f[6, 35])/16 - (9*f[6, 36])/8 + (7*f[6, 37])/8 - 
       f[6, 38]/4 - (13*f[6, 39])/8 - (21*f[6, 40])/8 + (15*f[6, 41])/8 - 
       (9*f[6, 42])/16 - (7*f[6, 43])/8 - (11*f[6, 44])/8 - f[6, 47] - 
       (3*f[6, 53])/8 - (11*f[6, 54])/8)*HPL[{1}, 1 - v]^2*SPw3f1[v, u] + 
     (f[6, 23]*HPL[{1}, 1 - u]^2*SPw3f2[u, v])/4 + 
     (-f[6, 14]/4 + f[6, 15]/2 - f[6, 17]/2 - f[6, 18]/4 - (3*f[6, 19])/2 - 
       f[6, 22]/4 - (3*f[6, 23])/2 + f[6, 25]/4 + f[6, 26]/4 + f[6, 27]/4 + 
       f[6, 29]/4 + f[6, 30]/2 + f[6, 31]/2 - f[6, 32]/2 + f[6, 33]/2 - 
       f[6, 34]/2 + f[6, 35] - f[6, 36]/2 + f[6, 37]/2 + f[6, 38] - 
       f[6, 39] - f[6, 40]/2 + (7*f[6, 41])/8 - (5*f[6, 42])/16 - 
       f[6, 43]/8 - f[6, 44]/8 - f[6, 53]/4 + (3*f[6, 54])/8)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*SPw3f2[u, v] + (f[6, 6] + (3*f[6, 10])/2 + f[6, 11] - 
       f[6, 13]/2 + (7*f[6, 14])/8 + (5*f[6, 15])/8 + f[6, 16]/8 + 
       (7*f[6, 17])/4 - f[6, 18]/8 + 2*f[6, 19] - (13*f[6, 20])/16 - 
       (3*f[6, 21])/16 + (5*f[6, 22])/16 + (33*f[6, 23])/8 - 
       (11*f[6, 24])/32 - (29*f[6, 25])/16 - (23*f[6, 26])/32 - 
       (5*f[6, 27])/16 + (7*f[6, 28])/16 + (3*f[6, 29])/32 - (3*f[6, 30])/8 - 
       (3*f[6, 31])/8 + (3*f[6, 32])/8 + (7*f[6, 33])/32 + (9*f[6, 34])/8 - 
       (25*f[6, 35])/32 + (13*f[6, 36])/16 - (9*f[6, 37])/16 - f[6, 38]/8 + 
       (41*f[6, 39])/16 + (33*f[6, 40])/16 - (47*f[6, 41])/16 + 
       (53*f[6, 42])/32 + (11*f[6, 43])/16 + (31*f[6, 44])/16 + 4*f[6, 47] + 
       (3*f[6, 53])/16 - (9*f[6, 54])/2)*HPL[{1}, 1 - v]^2*SPw3f2[u, v] + 
     (-f[6, 20]/4 - f[6, 21]/4 + f[6, 22]/2 - f[6, 24]/4 + f[6, 25]/4 - 
       f[6, 26]/2 - f[6, 27]/4 + f[6, 28]/4 - f[6, 29]/4 - f[6, 30] - 
       f[6, 31] + f[6, 32] + (3*f[6, 33])/4 + f[6, 34]/2 + f[6, 35]/4 + 
       (3*f[6, 36])/4 - (3*f[6, 37])/4 - 2*f[6, 39] - 3*f[6, 40] + 
       f[6, 41]/4 + f[6, 42]/8 + (3*f[6, 43])/4 + f[6, 44]/4 + f[6, 53]/2 - 
       (15*f[6, 54])/4)*HPL[{0, 1}, 1 - v]*SPw3f2[u, v] + 
     (-f[6, 18]/2 - f[6, 22]/2 - 3*f[6, 23] + f[6, 25]/2 + f[6, 26]/2 + 
       f[6, 27]/2 + f[6, 29]/2 + f[6, 30] + f[6, 31] - f[6, 32] + 
       f[6, 33]/2 - f[6, 34] - f[6, 36] + f[6, 37] + (3*f[6, 38])/2 - 
       2*f[6, 39] + f[6, 40] + (3*f[6, 41])/2 - f[6, 42]/4 - f[6, 43]/2 + 
       f[6, 44]/2 - f[6, 53]/2 + (3*f[6, 54])/2)*SPw2f1[u, v]*SPw3f2[u, v] + 
     (f[6, 39] + f[6, 40] - f[6, 41]/2 - f[6, 42]/4 - f[6, 43]/2 - 
       f[6, 44]/2 - f[6, 54]/2)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      SPw3f2[v, u] + (f[6, 6] + 2*f[6, 47] + f[6, 53]/8 - (73*f[6, 54])/16)*
      HPL[{1}, 1 - v]^2*SPw3f2[v, u] + (f[6, 22]/4 - f[6, 30]/2 - 
       f[6, 31]/2 + f[6, 32]/2 + f[6, 33]/2 + f[6, 42] + f[6, 44] - 
       f[6, 53]/4)*HPL[{0, 1}, 1 - v]*SPw3f2[v, u] - 
     (f[6, 54]*SPw2f1[u, v]*SPw3f2[v, u])/2 + 
     (-2*f[6, 9] + 2*f[6, 11] + 2*f[6, 13] + f[6, 15] + 4*f[6, 17] - 
       f[6, 18] + 2*f[6, 19] - f[6, 22] - 4*f[6, 23] + f[6, 25]/2 + 
       f[6, 26] + 3*f[6, 27] - f[6, 28] + f[6, 29] + f[6, 30] + f[6, 31] - 
       f[6, 32] + 2*f[6, 33] - 3*f[6, 34] - (9*f[6, 35])/2 - 4*f[6, 36] + 
       4*f[6, 37] + 3*f[6, 38] - 4*f[6, 39] + 2*f[6, 40] + 3*f[6, 41] + 
       f[6, 42]/2 - 3*f[6, 43] + (7*f[6, 44])/2 + 4*f[6, 46] - 2*f[6, 53] + 
       2*f[6, 54])*HPL[{1}, 1 - v]*SPw4f1[u, v] + 
     (-f[6, 53]/8 + (3*f[6, 54])/4)*HPL[{1}, 1 - v]*SPw4f2[u, v] + 
     (f[6, 11]/2 + f[6, 13]/2 + f[6, 14]/2 - f[6, 15]/2 - f[6, 16]/4 + 
       f[6, 17] + f[6, 18]/4 + 3*f[6, 19] + f[6, 22]/4 + (7*f[6, 23])/4 + 
       f[6, 24]/16 - (3*f[6, 25])/8 - (5*f[6, 26])/16 - f[6, 27]/4 - 
       (5*f[6, 29])/16 - f[6, 30]/2 - f[6, 31]/2 + f[6, 32]/2 - 
       (13*f[6, 33])/16 + f[6, 34]/2 - (33*f[6, 35])/16 + f[6, 36]/2 - 
       f[6, 37]/2 - (5*f[6, 38])/4 + (21*f[6, 39])/8 + (9*f[6, 40])/8 - 
       (5*f[6, 41])/4 - f[6, 42]/8 - f[6, 43]/4 + f[6, 53]/8 - f[6, 54]/2)*
      HPL[{1}, 1 - v]*SPw4f2[v, u] + (-f[6, 5] - 2*f[6, 46] + 3*f[6, 54])*
      HPL[{1}, 1 - v]*SPw4f3[u, v] + (-f[6, 21]/2 + f[6, 22]/2 + 2*f[6, 23] - 
       f[6, 25]/2 - f[6, 26] - f[6, 27]/2 + f[6, 28]/2 - f[6, 29] - 
       f[6, 30] - f[6, 31] + f[6, 32] - f[6, 33]/2 + f[6, 34] + 
       (3*f[6, 36])/2 - (3*f[6, 37])/2 - (3*f[6, 38])/2 + f[6, 39] - 
       f[6, 40] - (3*f[6, 41])/2 - (5*f[6, 42])/4 + f[6, 43]/2 - 2*f[6, 44] + 
       f[6, 53]/2 - (3*f[6, 54])/2)*HPL[{1}, 1 - u]*SPw4f4[u, v] + 
     (f[6, 5] - 2*f[6, 15] - f[6, 33] - f[6, 35] - f[6, 38] + 5*f[6, 39] + 
       5*f[6, 40] - 3*f[6, 41] - (3*f[6, 42])/2 - 3*f[6, 43] - f[6, 44]/2 - 
       2*f[6, 46] + f[6, 54])*HPL[{1}, 1 - v]*SPw4f4[v, u] + 
     (f[6, 28]/2 - f[6, 30]/2 - f[6, 31]/2 + f[6, 32]/2 + f[6, 34]/2 + 
       f[6, 36] - f[6, 37]/2 - f[6, 38]/2 + f[6, 39] - f[6, 40] - f[6, 41] - 
       f[6, 42]/2 - f[6, 44] + f[6, 53] - (3*f[6, 54])/2)*HPL[{1}, 1 - u]*
      SPw4f5[u, v] + (-2*f[6, 9] + 2*f[6, 11] + 2*f[6, 13] - f[6, 16] + 
       2*f[6, 17] + f[6, 23] + f[6, 24]/4 - f[6, 25]/2 - f[6, 26]/4 + 
       f[6, 27] - f[6, 28]/2 - f[6, 29]/4 - f[6, 30]/2 - f[6, 31]/2 + 
       f[6, 32]/2 - f[6, 33]/4 - f[6, 34]/2 - (11*f[6, 35])/4 - f[6, 36] + 
       f[6, 37]/2 - f[6, 38]/2 + (5*f[6, 39])/2 + f[6, 40]/2 - 
       (3*f[6, 41])/2 - (3*f[6, 42])/4 - (5*f[6, 43])/2 + f[6, 44]/2 - 
       f[6, 53]/2)*HPL[{1}, 1 - v]*SPw4f5[u, v] + 
     (-2*f[6, 16] - 2*f[6, 17] - f[6, 27] + f[6, 28] + f[6, 34] + 
       (3*f[6, 35])/2 + 2*f[6, 36] - f[6, 37] - 2*f[6, 40] + 2*f[6, 43] - 
       f[6, 44]/2 + f[6, 53])*HPL[{1}, 1 - v]*SPw4f5[v, u] + 
     (f[6, 14]/4 - f[6, 15]/2 + f[6, 17]/2 + (3*f[6, 19])/2 - f[6, 33]/4 - 
       f[6, 35] - f[6, 38]/4 + f[6, 39] + f[6, 40] - f[6, 41]/8 - 
       f[6, 42]/16 - f[6, 43]/8 + f[6, 44]/8 - f[6, 54]/8)*HPL[{1}, 1 - v]*
      SPw4f6[u, v] + (-f[6, 42]/2 - f[6, 44]/2)*HPL[{1}, 1 - u]*
      SPw4f7[u, v] + f[6, 1]*SPw5f1[u, v] + f[6, 18]*SPw5f1[v, u] + 
     f[6, 24]*SPw5f10[u, v] + f[6, 30]*SPw5f10[v, u] + 
     (-f[6, 18] + f[6, 28] + f[6, 36])*SPw5f11[u, v] + 
     f[6, 32]*SPw5f11[v, u] + f[6, 37]*SPw5f12[u, v] + 
     f[6, 31]*SPw5f12[v, u] + f[6, 33]*SPw5f13[u, v] + 
     (-f[6, 21]/4 + f[6, 22]/4 + f[6, 23] + f[6, 24]/4 - f[6, 25]/4 - 
       (3*f[6, 26])/4 - f[6, 27]/4 + f[6, 28]/4 - (3*f[6, 29])/4 - 
       f[6, 30]/2 - f[6, 31]/2 + f[6, 32]/2 + f[6, 34]/2 + (3*f[6, 36])/4 - 
       (3*f[6, 37])/4 - (3*f[6, 38])/4 + f[6, 39]/2 - f[6, 40]/2 - 
       (3*f[6, 41])/4 - (3*f[6, 42])/8 + f[6, 43]/4 - (3*f[6, 44])/4 + 
       f[6, 53]/4 - (3*f[6, 54])/4)*SPw5f14[u, v] + 
     (-f[6, 22] - f[6, 28] + 2*f[6, 30] + 2*f[6, 31] - 2*f[6, 32] - 
       f[6, 34] - 2*f[6, 36] + f[6, 37] + f[6, 38] - 2*f[6, 39] + 
       2*f[6, 40] + 2*f[6, 41] + f[6, 42] + 2*f[6, 44] - f[6, 53] + 
       3*f[6, 54])*SPw5f15[u, v] - f[6, 33]*SPw5f15[v, u] + 
     (f[6, 21]/4 - f[6, 22]/4 - f[6, 23] + f[6, 25]/4 + f[6, 26]/2 + 
       f[6, 27]/4 - f[6, 28]/4 + f[6, 29]/2 + f[6, 30]/2 + f[6, 31]/2 - 
       f[6, 32]/2 + f[6, 33]/4 - f[6, 34]/2 - (3*f[6, 36])/4 + 
       (3*f[6, 37])/4 + (3*f[6, 38])/4 - f[6, 39]/2 + f[6, 40]/2 + 
       (3*f[6, 41])/4 + (3*f[6, 42])/8 - f[6, 43]/4 + (3*f[6, 44])/4 - 
       f[6, 53]/4 + (3*f[6, 54])/4)*SPw5f16[u, v] + 
     (f[6, 28]/4 - f[6, 30]/4 - f[6, 31]/4 + f[6, 32]/4 + f[6, 34]/4 + 
       f[6, 36]/2 - f[6, 37]/4 - f[6, 38]/4 + f[6, 39]/2 - f[6, 40]/2 - 
       f[6, 41]/2 - f[6, 42]/4 - f[6, 44]/2 + f[6, 53]/2 - (3*f[6, 54])/4)*
      SPw5f18[u, v] + (f[6, 42]/2 + f[6, 44]/2)*SPw5f19[u, v] + 
     f[6, 39]*SPw5f2[v, u] + f[6, 53]*SPw5f5[v, u] + f[6, 23]*SPw5f6[u, v] + 
     f[6, 19]*SPw5f6[v, u] + f[6, 21]*SPw5f9[u, v]
 
SPuvCoproductEntriesWeight6[u - v] = 
    (f[6, 4]/80 - (3*f[6, 8])/80 + f[6, 52]/80)*HPL[{1}, 1 - u]^5 + 
     (-f[6, 4]/16 - f[6, 7]/8 + (3*f[6, 8])/16 - f[6, 52]/16)*
      HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v] + 
     (f[6, 52]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4)/16 - 
     (f[6, 52]*HPL[{1}, 1 - v]^5)/80 + (f[6, 6]/3 - f[6, 11]/12 + 
       f[6, 12]/12 - (5*f[6, 13])/12 - f[6, 14]/12 - f[6, 16]/24 - 
       f[6, 17]/6 - f[6, 18]/12 - (11*f[6, 19])/6 - (53*f[6, 20])/48 - 
       (13*f[6, 21])/16 + (37*f[6, 22])/48 + (85*f[6, 23])/24 - 
       (85*f[6, 24])/96 - (5*f[6, 25])/6 - (169*f[6, 26])/96 - 
       (41*f[6, 27])/48 + (43*f[6, 28])/48 - (21*f[6, 29])/32 - 
       (35*f[6, 30])/24 - (35*f[6, 31])/24 + (35*f[6, 32])/24 - 
       (55*f[6, 33])/96 + (11*f[6, 34])/6 - (7*f[6, 35])/96 + 
       (39*f[6, 36])/16 - (113*f[6, 37])/48 - (5*f[6, 38])/4 + 
       (49*f[6, 39])/16 + (5*f[6, 40])/16 - (169*f[6, 41])/48 - 
       (29*f[6, 42])/96 - (33*f[6, 43])/16 - (113*f[6, 44])/48 + 
       (13*f[6, 53])/16 + (23*f[6, 54])/48)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - u] + (-f[6, 15] - f[6, 20]/8 - f[6, 21]/8 + 
       f[6, 22]/8 - f[6, 24]/8 + (3*f[6, 25])/8 - f[6, 26]/4 - 
       (5*f[6, 27])/8 + f[6, 28]/8 - f[6, 29]/8 - f[6, 30]/4 - f[6, 31]/4 + 
       f[6, 32]/4 + (3*f[6, 33])/8 + f[6, 34]/4 - f[6, 35]/8 + 
       (3*f[6, 36])/8 - (3*f[6, 37])/8 + f[6, 38]/4 + f[6, 39]/4 - 
       f[6, 40]/4 - (7*f[6, 41])/8 - (39*f[6, 42])/16 - (5*f[6, 43])/8 - 
       (7*f[6, 44])/8 + 2*f[6, 49] + f[6, 53]/8 - (7*f[6, 54])/8)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2 + 
     (-f[6, 6]/3 + f[6, 11]/12 + f[6, 12]/6 + (5*f[6, 13])/12 + f[6, 14]/12 + 
       f[6, 16]/24 + f[6, 17]/6 + f[6, 18]/12 + (59*f[6, 19])/12 + 
       f[6, 20]/12 + f[6, 22]/24 + (13*f[6, 23])/24 + (7*f[6, 24])/96 - 
       (3*f[6, 25])/16 - (7*f[6, 26])/96 + f[6, 27]/24 - f[6, 28]/12 - 
       (5*f[6, 29])/32 - f[6, 30]/6 - f[6, 31]/6 + f[6, 32]/6 - 
       (43*f[6, 33])/96 - (91*f[6, 35])/96 - f[6, 37]/12 - (7*f[6, 38])/12 - 
       (15*f[6, 39])/16 - (23*f[6, 40])/16 + (5*f[6, 41])/6 - 
       (19*f[6, 42])/24 + f[6, 43] - f[6, 44]/12 - (13*f[6, 53])/16 - 
       (23*f[6, 54])/48)*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v] + 
     (-2*f[6, 49] - f[6, 53]/8 + (7*f[6, 54])/8)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]^2 + (f[6, 39]/2 + f[6, 40]/2 - f[6, 41]/4 + 
       f[6, 42]/8 + f[6, 43]/4 + f[6, 44]/4 - f[6, 53]/4 + (3*f[6, 54])/2)*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u] + 
     (-f[6, 15] - f[6, 16] - f[6, 18] + f[6, 20] + f[6, 21]/2 - 
       (3*f[6, 22])/2 - 7*f[6, 23] + (5*f[6, 24])/4 + (3*f[6, 25])/2 + 
       (7*f[6, 26])/4 + (5*f[6, 27])/2 - f[6, 28]/2 + (3*f[6, 29])/4 + 
       3*f[6, 30] + 3*f[6, 31] - 3*f[6, 32] + (5*f[6, 33])/4 - 3*f[6, 34] - 
       f[6, 35]/4 - (7*f[6, 36])/2 + (9*f[6, 37])/2 + (5*f[6, 38])/2 - 
       (7*f[6, 39])/2 + (9*f[6, 40])/2 + 4*f[6, 41] - (5*f[6, 42])/2 - 
       f[6, 43] + (3*f[6, 44])/2 - 4*f[6, 46] - 3*f[6, 53] + 8*f[6, 54])*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (2*f[6, 19] - f[6, 20]/4 - f[6, 21]/4 + f[6, 22]/4 + f[6, 23] - 
       f[6, 24]/4 - f[6, 25]/4 - f[6, 26]/2 - f[6, 27]/4 + f[6, 28]/4 - 
       f[6, 29]/4 - f[6, 30]/2 - f[6, 31]/2 + f[6, 32]/2 - f[6, 33]/4 + 
       f[6, 34]/2 - f[6, 35]/4 + (3*f[6, 36])/4 - (3*f[6, 37])/4 - 
       f[6, 38]/2 + f[6, 39]/2 - f[6, 40]/2 - (5*f[6, 41])/4 - 
       (5*f[6, 42])/8 - (5*f[6, 43])/4 - (3*f[6, 44])/2 + f[6, 53]/4 - 
       (3*f[6, 54])/2)*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v] + 
     (-f[6, 15] + f[6, 16] + f[6, 18] - 2*f[6, 19] - f[6, 20] - f[6, 21]/2 + 
       (3*f[6, 22])/2 + 5*f[6, 23] - (5*f[6, 24])/4 - f[6, 25]/2 - 
       (7*f[6, 26])/4 - (3*f[6, 27])/2 + f[6, 28]/2 - (3*f[6, 29])/4 - 
       3*f[6, 30] - 3*f[6, 31] + 3*f[6, 32] - (9*f[6, 33])/4 + 3*f[6, 34] + 
       f[6, 35]/4 + (7*f[6, 36])/2 - (9*f[6, 37])/2 - (7*f[6, 38])/2 + 
       (7*f[6, 39])/2 - (9*f[6, 40])/2 - 4*f[6, 41] - f[6, 42]/2 + f[6, 43] - 
       (3*f[6, 44])/2 - 4*f[6, 46] + 3*f[6, 53] - 8*f[6, 54])*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (f[6, 12]/2 - 2*f[6, 19] + 2*f[6, 20] + 2*f[6, 21] - 2*f[6, 22] - 
       8*f[6, 23] + 2*f[6, 24] + 2*f[6, 25] + 4*f[6, 26] + 2*f[6, 27] - 
       2*f[6, 28] + 2*f[6, 29] + 4*f[6, 30] + 4*f[6, 31] - 4*f[6, 32] + 
       (7*f[6, 33])/4 - 4*f[6, 34] + (3*f[6, 35])/2 - 6*f[6, 36] + 
       6*f[6, 37] + (15*f[6, 38])/4 - (35*f[6, 39])/4 - (3*f[6, 40])/4 + 
       (69*f[6, 41])/8 + (29*f[6, 42])/16 + (37*f[6, 43])/8 + 
       (49*f[6, 44])/8 - f[6, 51] - (11*f[6, 53])/4 + (7*f[6, 54])/2)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u] + 
     (-2*f[6, 10] - f[6, 14]/2 + (5*f[6, 15])/2 - (3*f[6, 16])/2 - f[6, 17] - 
       f[6, 19] + (9*f[6, 20])/4 + (5*f[6, 21])/2 - (5*f[6, 22])/2 - 
       (23*f[6, 23])/2 + (13*f[6, 24])/8 + (5*f[6, 25])/2 + (45*f[6, 26])/8 + 
       (7*f[6, 27])/2 - 2*f[6, 28] + (23*f[6, 29])/8 + 4*f[6, 30] + 
       4*f[6, 31] - 4*f[6, 32] + f[6, 33]/8 - 5*f[6, 34] + (7*f[6, 35])/8 - 
       (11*f[6, 36])/2 + 6*f[6, 37] + (13*f[6, 38])/4 - (33*f[6, 39])/4 - 
       (5*f[6, 40])/4 + 12*f[6, 41] + (15*f[6, 42])/2 - f[6, 43]/2 + 
       6*f[6, 44] - 8*f[6, 49] - (9*f[6, 53])/4 + (11*f[6, 54])/4)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (-f[6, 12]/2 - 4*f[6, 19] - f[6, 20] - (3*f[6, 21])/4 + (3*f[6, 22])/4 + 
       3*f[6, 23] - (3*f[6, 24])/4 - f[6, 25]/2 - (7*f[6, 26])/4 - 
       (3*f[6, 27])/4 + (3*f[6, 28])/4 - (3*f[6, 29])/4 - (3*f[6, 30])/2 - 
       (3*f[6, 31])/2 + (3*f[6, 32])/2 - (3*f[6, 33])/4 + (7*f[6, 34])/4 - 
       f[6, 35]/2 + (9*f[6, 36])/4 - (9*f[6, 37])/4 - (3*f[6, 38])/2 + 
       (23*f[6, 39])/4 + (11*f[6, 40])/4 - (35*f[6, 41])/8 + f[6, 42]/16 - 
       (23*f[6, 43])/8 - (17*f[6, 44])/8 + f[6, 51] + (11*f[6, 53])/4 - 
       (7*f[6, 54])/2)*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v] + 
     (2*f[6, 10] + f[6, 14]/2 + (3*f[6, 15])/2 + (3*f[6, 16])/2 + f[6, 17] - 
       f[6, 19] - (3*f[6, 20])/2 - (7*f[6, 21])/4 + (7*f[6, 22])/4 + 
       (19*f[6, 23])/2 - (7*f[6, 24])/8 - (13*f[6, 25])/4 - (29*f[6, 26])/8 - 
       (7*f[6, 27])/4 + (5*f[6, 28])/4 - (17*f[6, 29])/8 - (5*f[6, 30])/2 - 
       (5*f[6, 31])/2 + (5*f[6, 32])/2 - (3*f[6, 33])/8 + (7*f[6, 34])/2 + 
       (3*f[6, 35])/8 + (15*f[6, 36])/4 - (15*f[6, 37])/4 - (11*f[6, 38])/4 + 
       (27*f[6, 39])/4 + (11*f[6, 40])/4 - (27*f[6, 41])/4 + 
       (17*f[6, 42])/8 + (17*f[6, 43])/4 - (3*f[6, 44])/4 + 8*f[6, 49] + 
       (9*f[6, 53])/4 - (11*f[6, 54])/4)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + (-f[6, 42]/2 + f[6, 43] - f[6, 44]/2 + 
       f[6, 53] - f[6, 54])*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (f[6, 20] + f[6, 21] - f[6, 22] - 4*f[6, 23] + f[6, 24] + f[6, 25] + 
       2*f[6, 26] + f[6, 27] - f[6, 28] + f[6, 29] + 2*f[6, 30] + 
       2*f[6, 31] - 2*f[6, 32] + f[6, 33] - 2*f[6, 34] + f[6, 35] - 
       3*f[6, 36] + 3*f[6, 37] + 2*f[6, 38] - 4*f[6, 39] + 3*f[6, 41] + 
       f[6, 42] + (5*f[6, 44])/2 - f[6, 53] + f[6, 54])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v] + (-f[6, 35]/2 + f[6, 39] + f[6, 40] + 
       (5*f[6, 41])/4 + (9*f[6, 42])/8 + f[6, 43]/4 + (5*f[6, 44])/4 - 
       f[6, 53] + 4*f[6, 54])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-f[6, 20] - f[6, 21] + f[6, 22] + 4*f[6, 23] - f[6, 24] - f[6, 25] - 
       2*f[6, 26] - f[6, 27] + f[6, 28] - f[6, 29] - 2*f[6, 30] - 
       2*f[6, 31] + 2*f[6, 32] - f[6, 33]/2 + 2*f[6, 34] - f[6, 35]/2 + 
       (7*f[6, 36])/2 - 3*f[6, 37] - (3*f[6, 38])/2 + 3*f[6, 39] - f[6, 40] - 
       (11*f[6, 41])/4 - (7*f[6, 42])/8 + f[6, 43]/4 - (7*f[6, 44])/4 + 
       f[6, 53] - 4*f[6, 54])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((-5*f[6, 20])/4 - (5*f[6, 21])/4 + (5*f[6, 22])/4 + 5*f[6, 23] - 
       (5*f[6, 24])/4 - (5*f[6, 25])/4 - (5*f[6, 26])/2 - (5*f[6, 27])/4 + 
       (5*f[6, 28])/4 - (5*f[6, 29])/4 - (5*f[6, 30])/2 - (5*f[6, 31])/2 + 
       (5*f[6, 32])/2 - (5*f[6, 33])/4 + (5*f[6, 34])/2 - (5*f[6, 35])/4 + 
       (15*f[6, 36])/4 - (15*f[6, 37])/4 - (5*f[6, 38])/2 + 5*f[6, 39] - 
       (13*f[6, 41])/2 - 2*f[6, 42] - 4*f[6, 43] - (21*f[6, 44])/4 + 
       6*f[6, 51] + (7*f[6, 53])/2 - 7*f[6, 54])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - u] + ((9*f[6, 20])/4 + (9*f[6, 21])/4 - 
       (9*f[6, 22])/4 - 9*f[6, 23] + (9*f[6, 24])/4 + (9*f[6, 25])/4 + 
       (9*f[6, 26])/2 + (9*f[6, 27])/4 - (9*f[6, 28])/4 + (9*f[6, 29])/4 + 
       (9*f[6, 30])/2 + (9*f[6, 31])/2 - (9*f[6, 32])/2 + (9*f[6, 33])/4 - 
       (9*f[6, 34])/2 + (9*f[6, 35])/4 - (27*f[6, 36])/4 + (27*f[6, 37])/4 + 
       (9*f[6, 38])/2 - 9*f[6, 39] + (15*f[6, 41])/2 + (3*f[6, 42])/2 + 
       3*f[6, 43] + (21*f[6, 44])/4 - 6*f[6, 51] - (7*f[6, 53])/2 + 
       7*f[6, 54])*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (f[6, 1] - f[6, 18] - 4*f[6, 19] + f[6, 21] + 2*f[6, 22] - 4*f[6, 23] - 
       f[6, 24] + 2*f[6, 25] + 2*f[6, 26] + 2*f[6, 27] + 2*f[6, 29] - 
       3*f[6, 30] - 3*f[6, 31] + 6*f[6, 32] + f[6, 33] + f[6, 34] + 
       f[6, 36] - 2*f[6, 37] + f[6, 38] - 2*f[6, 39] - 6*f[6, 40] - 
       4*f[6, 41] - 2*f[6, 42] - 2*f[6, 43] - 4*f[6, 44] + f[6, 53] - 
       9*f[6, 54])*HPL[{0, 0, 0, 0, 1}, 1 - u] + 
     (-f[6, 1] + f[6, 18] + 2*f[6, 20] - 3*f[6, 22] + 2*f[6, 24] - f[6, 28] - 
       f[6, 29] + 5*f[6, 30] + 5*f[6, 31] - 5*f[6, 32] - f[6, 34] + 
       f[6, 35] - 2*f[6, 36] + 5*f[6, 37] + f[6, 38] + 8*f[6, 40] + 
       5*f[6, 41] + (5*f[6, 42])/2 + f[6, 43] + 5*f[6, 44] - f[6, 53] + 
       9*f[6, 54])*HPL[{0, 0, 0, 0, 1}, 1 - v] + 
     (4*f[6, 9] - 4*f[6, 17] + 4*f[6, 18] + 8*f[6, 19] - 5*f[6, 20] - 
       3*f[6, 21] + 8*f[6, 22] + 32*f[6, 23] - 5*f[6, 24] - 7*f[6, 25] - 
       10*f[6, 26] - 19*f[6, 27] + 4*f[6, 28] - 5*f[6, 29] - 13*f[6, 30] - 
       12*f[6, 31] + 12*f[6, 32] - 2*f[6, 33] + 15*f[6, 34] + 4*f[6, 35] + 
       19*f[6, 36] - 24*f[6, 37] - 10*f[6, 38] + 26*f[6, 39] - 6*f[6, 40] - 
       17*f[6, 41] + (11*f[6, 42])/2 + 7*f[6, 43] - 7*f[6, 44] + 
       16*f[6, 46] - 8*f[6, 48] + 11*f[6, 53] - 9*f[6, 54])*
      HPL[{0, 0, 0, 1, 1}, 1 - u] + (-4*f[6, 9] + 4*f[6, 15] + 4*f[6, 17] - 
       4*f[6, 18] + 8*f[6, 19] - f[6, 20] - 2*f[6, 21] - 3*f[6, 22] - 
       16*f[6, 23] + 2*f[6, 25] + 3*f[6, 26] + 5*f[6, 27] + f[6, 28] + 
       3*f[6, 30] + 2*f[6, 31] - 3*f[6, 32] + 7*f[6, 33] - 6*f[6, 34] - 
       6*f[6, 35] - 4*f[6, 36] + 9*f[6, 37] + 10*f[6, 38] - 16*f[6, 39] - 
       4*f[6, 40] + 8*f[6, 41] + 2*f[6, 42] - 6*f[6, 43] - 2*f[6, 44] + 
       16*f[6, 46] + 8*f[6, 48] - 11*f[6, 53] + 9*f[6, 54])*
      HPL[{0, 0, 0, 1, 1}, 1 - v] + (2*f[6, 3] + 2*f[6, 9] - 2*f[6, 17] + 
       2*f[6, 18] + 2*f[6, 19] - (5*f[6, 20])/2 - (3*f[6, 21])/2 + 
       (7*f[6, 22])/2 + 16*f[6, 23] - (5*f[6, 24])/2 - (7*f[6, 25])/2 - 
       5*f[6, 26] - (17*f[6, 27])/2 + (3*f[6, 28])/2 - (5*f[6, 29])/2 - 
       5*f[6, 30] - 5*f[6, 31] + 5*f[6, 32] - (3*f[6, 33])/2 + 7*f[6, 34] + 
       2*f[6, 35] + (17*f[6, 36])/2 - (21*f[6, 37])/2 - 5*f[6, 38] + 
       11*f[6, 39] - 3*f[6, 40] - (17*f[6, 41])/2 + (3*f[6, 42])/4 + 
       (5*f[6, 43])/2 - (11*f[6, 44])/2 + 8*f[6, 46] - 4*f[6, 48] + 
       6*f[6, 53] - 6*f[6, 54])*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     (-2*f[6, 3] - 2*f[6, 9] + 2*f[6, 15] + 2*f[6, 17] - 2*f[6, 18] + 
       4*f[6, 19] + (3*f[6, 20])/2 + f[6, 21]/2 - (5*f[6, 22])/2 - 
       10*f[6, 23] + (3*f[6, 24])/2 + (3*f[6, 25])/2 + 3*f[6, 26] + 
       (9*f[6, 27])/2 - f[6, 28]/2 + (3*f[6, 29])/2 + 3*f[6, 30] + 
       3*f[6, 31] - 3*f[6, 32] + (7*f[6, 33])/2 - 5*f[6, 34] - 3*f[6, 35] - 
       (11*f[6, 36])/2 + (15*f[6, 37])/2 + 6*f[6, 38] - 9*f[6, 39] + 
       f[6, 40] + (11*f[6, 41])/2 + (7*f[6, 42])/4 - (7*f[6, 43])/2 + 
       (5*f[6, 44])/2 + 8*f[6, 46] + 4*f[6, 48] - 6*f[6, 53] + 6*f[6, 54])*
      HPL[{0, 0, 1, 0, 1}, 1 - v] + (-3*f[6, 5] + 6*f[6, 10] + 
       (9*f[6, 14])/2 - (3*f[6, 15])/2 + (9*f[6, 16])/2 + 3*f[6, 17] + 
       6*f[6, 19] - (9*f[6, 20])/2 - 10*f[6, 21] + 10*f[6, 22] + 
       (111*f[6, 23])/2 - (17*f[6, 24])/8 - (29*f[6, 25])/2 - 
       (191*f[6, 26])/8 - 16*f[6, 27] + (17*f[6, 28])/2 - (131*f[6, 29])/8 - 
       17*f[6, 30] - 17*f[6, 31] + 17*f[6, 32] - (19*f[6, 33])/8 + 
       (43*f[6, 34])/2 - (27*f[6, 35])/8 + 24*f[6, 36] - (51*f[6, 37])/2 - 
       (39*f[6, 38])/2 + (143*f[6, 39])/4 + (19*f[6, 40])/4 - 
       (93*f[6, 41])/2 - (63*f[6, 42])/4 + 14*f[6, 43] - 27*f[6, 44] + 
       12*f[6, 46] + 24*f[6, 49] + (61*f[6, 53])/4 - (111*f[6, 54])/4)*
      HPL[{0, 0, 1, 1, 1}, 1 - u] + (3*f[6, 5] - 6*f[6, 10] + 3*f[6, 12] - 
       (9*f[6, 14])/2 - (9*f[6, 15])/2 - (9*f[6, 16])/2 - 3*f[6, 17] + 
       3*f[6, 19] + (21*f[6, 20])/4 + (45*f[6, 21])/4 - (45*f[6, 22])/4 - 
       (93*f[6, 23])/2 + (27*f[6, 24])/8 + (57*f[6, 25])/4 + 
       (159*f[6, 26])/8 + (57*f[6, 27])/4 - (39*f[6, 28])/4 + 
       (141*f[6, 29])/8 + (39*f[6, 30])/2 + (39*f[6, 31])/2 - 
       (39*f[6, 32])/2 + (33*f[6, 33])/8 - (45*f[6, 34])/2 - 
       (15*f[6, 35])/8 - (123*f[6, 36])/4 + (117*f[6, 37])/4 + 
       (45*f[6, 38])/2 - (153*f[6, 39])/4 - (9*f[6, 40])/4 + 
       (141*f[6, 41])/4 - (15*f[6, 42])/8 - (111*f[6, 43])/4 + 
       (63*f[6, 44])/4 + 12*f[6, 46] - 24*f[6, 49] - (61*f[6, 53])/4 + 
       (111*f[6, 54])/4)*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     (f[6, 2] - f[6, 5] + 2*f[6, 10] + f[6, 14]/2 - f[6, 15]/2 + 
       (3*f[6, 16])/2 + f[6, 17] + 3*f[6, 19] - (7*f[6, 20])/4 - 
       (9*f[6, 21])/2 + (9*f[6, 22])/2 + (43*f[6, 23])/2 - (9*f[6, 24])/8 - 
       (11*f[6, 25])/2 - (77*f[6, 26])/8 - 7*f[6, 27] + 4*f[6, 28] - 
       (59*f[6, 29])/8 - 8*f[6, 30] - 8*f[6, 31] + 8*f[6, 32] - 
       (9*f[6, 33])/8 + 9*f[6, 34] - (7*f[6, 35])/8 + (23*f[6, 36])/2 - 
       12*f[6, 37] - (35*f[6, 38])/4 + (57*f[6, 39])/4 - (3*f[6, 40])/4 - 
       18*f[6, 41] - (9*f[6, 42])/2 + (9*f[6, 43])/2 - (23*f[6, 44])/2 + 
       4*f[6, 46] + 8*f[6, 49] + (25*f[6, 53])/4 - (51*f[6, 54])/4)*
      HPL[{0, 1, 0, 1, 1}, 1 - u] + (-f[6, 2] + f[6, 5] - 2*f[6, 10] + 
       f[6, 12] - f[6, 14]/2 - (3*f[6, 15])/2 - (3*f[6, 16])/2 - f[6, 17] + 
       f[6, 19] + (3*f[6, 20])/2 + (15*f[6, 21])/4 - (15*f[6, 22])/4 - 
       (35*f[6, 23])/2 + (3*f[6, 24])/8 + (21*f[6, 25])/4 + (61*f[6, 26])/8 + 
       (17*f[6, 27])/4 - (13*f[6, 28])/4 + (53*f[6, 29])/8 + 
       (13*f[6, 30])/2 + (13*f[6, 31])/2 - (13*f[6, 32])/2 + 
       (23*f[6, 33])/8 - 8*f[6, 34] - (3*f[6, 35])/8 - (41*f[6, 36])/4 + 
       (39*f[6, 37])/4 + (39*f[6, 38])/4 - (51*f[6, 39])/4 - (3*f[6, 40])/4 + 
       (51*f[6, 41])/4 - (17*f[6, 42])/8 - (33*f[6, 43])/4 + 
       (25*f[6, 44])/4 + 4*f[6, 46] - 8*f[6, 49] - (25*f[6, 53])/4 + 
       (51*f[6, 54])/4)*HPL[{0, 1, 0, 1, 1}, 1 - v] + 
     (-8*f[6, 6] + 12*f[6, 10] + 14*f[6, 11] - 3*f[6, 12] + 10*f[6, 13] + 
       7*f[6, 14] + 17*f[6, 15] - 2*f[6, 16] + 14*f[6, 17] - f[6, 18] + 
       48*f[6, 19] - 10*f[6, 20] - 6*f[6, 21] + f[6, 22] + 53*f[6, 23] - 
       (13*f[6, 24])/2 - (41*f[6, 25])/2 - (29*f[6, 26])/2 - 5*f[6, 27] + 
       4*f[6, 28] - (9*f[6, 29])/2 - 4*f[6, 30] - 4*f[6, 31] + 4*f[6, 32] - 
       (9*f[6, 33])/2 + 9*f[6, 34] - (33*f[6, 35])/2 + 12*f[6, 36] - 
       14*f[6, 37] - f[6, 38] + 6*f[6, 39] - 14*f[6, 41] - 2*f[6, 42] + 
       2*f[6, 43] + 9*f[6, 44] - 12*f[6, 51] + 4*f[6, 53] + 38*f[6, 54])*
      HPL[{0, 1, 1, 1, 1}, 1 - u] + (8*f[6, 6] - 12*f[6, 10] - 14*f[6, 11] + 
       f[6, 12] - 10*f[6, 13] - 7*f[6, 14] - 11*f[6, 15] + 2*f[6, 16] - 
       14*f[6, 17] + f[6, 18] - 49*f[6, 19] + 15*f[6, 20] + 4*f[6, 21] + 
       f[6, 22] - 54*f[6, 23] + (9*f[6, 24])/2 + (37*f[6, 25])/2 + 
       (35*f[6, 26])/2 + 3*f[6, 27] - 2*f[6, 28] + (5*f[6, 29])/2 + 
       (19*f[6, 33])/2 - 12*f[6, 34] + (43*f[6, 35])/2 - 6*f[6, 36] + 
       8*f[6, 37] + 4*f[6, 38] - 2*f[6, 39] - 4*f[6, 40] + 16*f[6, 41] + 
       3*f[6, 42] + 4*f[6, 43] - 7*f[6, 44] + 12*f[6, 51] - 4*f[6, 53] - 
       38*f[6, 54])*HPL[{0, 1, 1, 1, 1}, 1 - v] + (2*f[6, 47] - 3*f[6, 54])*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*SPw2f1[u, v] + 
     (-2*f[6, 10] - f[6, 14]/2 - f[6, 15] - f[6, 16] - f[6, 17] + f[6, 19] + 
       f[6, 20] - 5*f[6, 23] + f[6, 24]/4 + 2*f[6, 25] + (3*f[6, 26])/4 - 
       f[6, 29]/4 - (3*f[6, 33])/4 - f[6, 34] - (5*f[6, 35])/4 - f[6, 38]/2 - 
       (3*f[6, 39])/2 - (3*f[6, 40])/2 + 3*f[6, 41] - (5*f[6, 42])/2 - 
       f[6, 43] - (5*f[6, 44])/2 - 2*f[6, 47] - 3*f[6, 54])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*SPw2f1[u, v] + (f[6, 7]/2 + f[6, 8] + 2*f[6, 45] + 
       2*f[6, 50] - 2*f[6, 52])*HPL[{1}, 1 - u]*SPw2f1[u, v]^2 + 
     (2*f[6, 45] - 2*f[6, 50] + 2*f[6, 52])*HPL[{1}, 1 - v]*SPw2f1[u, v]^2 + 
     (f[6, 47] - f[6, 53]/8 - (7*f[6, 54])/8)*HPL[{1}, 1 - u]^2*
      SPw3f1[u, v] + (f[6, 19]/2 - f[6, 20]/4 - f[6, 21]/4 + f[6, 22]/4 + 
       f[6, 23] - f[6, 24]/4 - f[6, 25]/4 - f[6, 26]/2 - f[6, 27]/4 + 
       f[6, 28]/4 - f[6, 29]/4 - f[6, 30]/2 - f[6, 31]/2 + f[6, 32]/2 - 
       f[6, 33]/4 + f[6, 34]/2 - f[6, 35]/4 + (3*f[6, 36])/4 - 
       (3*f[6, 37])/4 - f[6, 38]/2 + 2*f[6, 39] + f[6, 40] - (3*f[6, 41])/2 - 
       f[6, 43] - (3*f[6, 44])/4 - f[6, 47] + f[6, 53]/2 + f[6, 54])*
      HPL[{1}, 1 - v]^2*SPw3f1[u, v] + (-f[6, 15] - f[6, 16] + f[6, 18] - 
       2*f[6, 19] + f[6, 22] + 5*f[6, 23] + f[6, 24]/4 - f[6, 25] - 
       (5*f[6, 26])/4 - f[6, 27] - (5*f[6, 29])/4 - 2*f[6, 30] - 2*f[6, 31] + 
       2*f[6, 32] - (5*f[6, 33])/4 + 2*f[6, 34] - f[6, 35]/4 + 2*f[6, 36] - 
       2*f[6, 37] - 3*f[6, 38] + (13*f[6, 39])/2 + f[6, 40]/2 - 4*f[6, 41] - 
       f[6, 44] + f[6, 53] - 2*f[6, 54])*SPw2f1[u, v]*SPw3f1[u, v] + 
     (-f[6, 10] - f[6, 14]/4 - (3*f[6, 15])/4 - (3*f[6, 16])/4 - f[6, 17]/2 + 
       f[6, 18]/4 + f[6, 20] + f[6, 21]/2 - f[6, 22]/4 - (13*f[6, 23])/4 + 
       (11*f[6, 24])/16 + (5*f[6, 25])/4 + (17*f[6, 26])/16 + f[6, 27]/4 - 
       f[6, 28]/2 + f[6, 29]/16 + f[6, 30]/2 + f[6, 31]/2 - f[6, 32]/2 + 
       f[6, 33]/16 - f[6, 34] + (5*f[6, 35])/16 - f[6, 36] + f[6, 37] + 
       f[6, 38]/4 - (13*f[6, 39])/8 - (9*f[6, 40])/8 + (5*f[6, 41])/2 - 
       (3*f[6, 42])/4 + f[6, 43]/2 - f[6, 47] - f[6, 53]/2 - f[6, 54])*
      HPL[{1}, 1 - u]^2*SPw3f1[v, u] + (f[6, 10] + f[6, 14]/4 + 
       (3*f[6, 15])/4 + (3*f[6, 16])/4 + f[6, 17]/2 - f[6, 18]/4 + f[6, 19] - 
       (7*f[6, 20])/8 - (3*f[6, 21])/8 + f[6, 22]/8 + (11*f[6, 23])/4 - 
       (9*f[6, 24])/16 - (9*f[6, 25])/8 - (13*f[6, 26])/16 - f[6, 27]/8 + 
       (3*f[6, 28])/8 + f[6, 29]/16 - f[6, 30]/4 - f[6, 31]/4 + f[6, 32]/4 + 
       f[6, 33]/16 + (3*f[6, 34])/4 - (3*f[6, 35])/16 + (5*f[6, 36])/8 - 
       (5*f[6, 37])/8 + (3*f[6, 39])/8 + (3*f[6, 40])/8 - (13*f[6, 41])/8 + 
       (11*f[6, 42])/16 + f[6, 43]/8 + (3*f[6, 44])/8 + f[6, 47] + 
       f[6, 53]/8 + (7*f[6, 54])/8)*HPL[{1}, 1 - v]^2*SPw3f1[v, u] + 
     (f[6, 53] - 2*f[6, 54])*SPw2f1[u, v]*SPw3f1[v, u] + 
     (-f[6, 7]/4 - f[6, 8]/2 + f[6, 52]/2)*HPL[{1}, 1 - u]^2*SPw3f2[u, v] - 
     2*f[6, 52]*SPw2f1[u, v]*SPw3f2[u, v] + (f[6, 4]/2 - f[6, 8]/2)*
      HPL[{1}, 1 - u]^2*SPw3f2[v, u] - (f[6, 52]*HPL[{1}, 1 - v]^2*
       SPw3f2[v, u])/2 - 2*f[6, 52]*SPw2f1[u, v]*SPw3f2[v, u] + 
     f[6, 12]*HPL[{1}, 1 - u]*SPw4f3[v, u] + 
     (-f[6, 12] + f[6, 20] + f[6, 21] - f[6, 22] - 4*f[6, 23] + f[6, 24] + 
       f[6, 25] + 2*f[6, 26] + f[6, 27] - f[6, 28] + f[6, 29] + 2*f[6, 30] + 
       2*f[6, 31] - 2*f[6, 32] + f[6, 33] - 2*f[6, 34] + f[6, 35] - 
       3*f[6, 36] + 3*f[6, 37] + 2*f[6, 38] - 2*f[6, 39] + 2*f[6, 40] + 
       3*f[6, 41] + (3*f[6, 42])/2 + f[6, 43] + 3*f[6, 44] - f[6, 53] + 
       3*f[6, 54])*HPL[{1}, 1 - u]*SPw4f4[u, v] + f[6, 54]*HPL[{1}, 1 - v]*
      SPw4f4[u, v] + (-2*f[6, 39] - 2*f[6, 40] + f[6, 41] - f[6, 42]/2 + 
       f[6, 43] - f[6, 54])*HPL[{1}, 1 - u]*SPw4f4[v, u] + 
     (f[6, 53] - 3*f[6, 54])*HPL[{1}, 1 - v]*SPw4f4[v, u] + 
     (-2*f[6, 19] - f[6, 20]/2 - f[6, 21]/2 + f[6, 22]/2 + 2*f[6, 23] - 
       f[6, 24]/2 - f[6, 25]/2 - f[6, 26] - f[6, 27]/2 + f[6, 28]/2 - 
       f[6, 29]/2 - f[6, 30] - f[6, 31] + f[6, 32] - f[6, 33]/2 + f[6, 34] - 
       f[6, 35]/2 + (3*f[6, 36])/2 - (3*f[6, 37])/2 - f[6, 38] + 3*f[6, 39] + 
       f[6, 40] - (5*f[6, 41])/2 - f[6, 42]/4 - (3*f[6, 43])/2 - 
       (3*f[6, 44])/2 + f[6, 53]/2 - f[6, 54]/2)*HPL[{1}, 1 - u]*
      SPw4f7[u, v] + (f[6, 53]/2 - f[6, 54]/2)*HPL[{1}, 1 - v]*SPw4f7[u, v] + 
     f[6, 32]*SPw5f1[u, v] + f[6, 20]*SPw5f10[u, v] + 
     f[6, 34]*SPw5f11[u, v] + f[6, 27]*SPw5f12[u, v] + 
     f[6, 25]*SPw5f13[u, v] + (f[6, 20]/4 + f[6, 21]/4 - f[6, 22]/4 + 
       f[6, 24]/4 + f[6, 25]/4 + f[6, 26]/2 + f[6, 27]/4 - f[6, 28]/4 + 
       f[6, 29]/4 + f[6, 30]/2 + f[6, 31]/2 - f[6, 32]/2 + f[6, 33]/4 - 
       f[6, 34]/2 + f[6, 35]/4 - (3*f[6, 36])/4 + (3*f[6, 37])/4 + 
       f[6, 38]/2 - f[6, 39]/2 + f[6, 40]/2 + (3*f[6, 41])/4 + 
       (3*f[6, 42])/8 + f[6, 43]/4 + (3*f[6, 44])/4 - f[6, 53]/4 + 
       (3*f[6, 54])/4)*SPw5f14[u, v] + (f[6, 53]/4 - (3*f[6, 54])/4)*
      SPw5f14[v, u] + (-f[6, 27] - f[6, 35])*SPw5f15[u, v] + 
     (f[6, 33] + f[6, 35] + f[6, 38])*SPw5f15[v, u] + 
     (-f[6, 20]/4 - f[6, 21]/4 + f[6, 22]/4 + f[6, 23] - f[6, 24]/4 - 
       f[6, 25]/4 - f[6, 26]/2 - f[6, 27]/4 + f[6, 28]/4 - f[6, 29]/4 - 
       f[6, 30]/2 - f[6, 31]/2 + f[6, 32]/2 - f[6, 33]/4 + f[6, 34]/2 - 
       f[6, 35]/4 + (3*f[6, 36])/4 - (3*f[6, 37])/4 - f[6, 38]/2 + 
       f[6, 39]/2 - f[6, 40]/2 - (3*f[6, 41])/4 - (3*f[6, 42])/8 - 
       f[6, 43]/4 - (3*f[6, 44])/4 + f[6, 53]/4 - (3*f[6, 54])/4)*
      SPw5f16[u, v] + (f[6, 19] - f[6, 53]/4 + (3*f[6, 54])/4)*
      SPw5f16[v, u] + 2*f[6, 46]*SPw5f17[u, v] + 
     (f[6, 41]/4 + f[6, 42]/8 + f[6, 43]/4 + f[6, 44]/4)*SPw5f18[u, v] + 
     (-f[6, 39] - f[6, 40] + f[6, 41]/2 - f[6, 42]/4 + f[6, 43]/2 - f[6, 54])*
      SPw5f19[u, v] + (f[6, 4] - f[6, 52])*SPw5f2[u, v] + 
     f[6, 52]*SPw5f2[v, u] + (2*f[6, 39] + 2*f[6, 40])*SPw5f20[u, v] + 
     f[6, 8]*SPw5f3[u, v] + f[6, 12]*SPw5f4[u, v] + f[6, 36]*SPw5f5[v, u] + 
     f[6, 7]*SPw5f6[u, v] + f[6, 15]*SPw5f7[v, u] + f[6, 42]*SPw5f8[v, u] + 
     f[6, 26]*SPw5f9[u, v] + f[6, 35]*SPw5f9[v, u]
 
SPuvCoproductEntriesWeight6[v] = (-f[6, 4]/80 + (3*f[6, 8])/80 - f[6, 52]/80)*HPL[{1}, 1 - u]^5 + 
     ((3*f[6, 7])/32 + f[6, 8]/16 - (3*f[6, 45])/8 + f[6, 50]/8 + 
       (3*f[6, 52])/16)*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v] + 
     (-f[6, 7]/24 - f[6, 8]/12 - f[6, 50]/6)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]^2 + (f[6, 13]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u])/2 + 
     (f[6, 20]/8 - f[6, 22]/4 + f[6, 24]/4 - f[6, 26]/8 + f[6, 27]/4 - 
       f[6, 29]/8 + f[6, 30]/4 + f[6, 31]/4 - f[6, 32]/4 - f[6, 33]/8 - 
       f[6, 34]/8 + f[6, 35]/8 - f[6, 36]/4 + f[6, 37]/4 - f[6, 39]/2 - 
       (5*f[6, 42])/8 - (7*f[6, 44])/8 + f[6, 46]/2 + f[6, 53]/8 + 
       f[6, 54]/4)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     (-f[6, 6]/3 - (2*f[6, 10])/3 + f[6, 11]/12 + f[6, 12]/6 + f[6, 13]/12 - 
       f[6, 14]/12 - (5*f[6, 15])/12 - (3*f[6, 16])/8 - f[6, 17]/6 + 
       f[6, 18]/6 + (4*f[6, 19])/3 + (2*f[6, 20])/3 + f[6, 21]/4 - 
       f[6, 22]/8 - (41*f[6, 23])/24 + (41*f[6, 24])/96 + (31*f[6, 25])/48 + 
       (55*f[6, 26])/96 + (5*f[6, 27])/24 - f[6, 28]/3 - (3*f[6, 29])/32 + 
       f[6, 30]/6 + f[6, 31]/6 - f[6, 32]/6 - (17*f[6, 33])/96 - 
       (2*f[6, 34])/3 - (37*f[6, 35])/96 - (7*f[6, 36])/12 + f[6, 37]/2 - 
       f[6, 38]/8 - (95*f[6, 39])/48 - (95*f[6, 40])/48 + (13*f[6, 41])/6 - 
       (19*f[6, 42])/16 + (5*f[6, 43])/6 - (11*f[6, 44])/48 - 
       (2*f[6, 47])/3 - f[6, 53]/6 - (13*f[6, 54])/8)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1}, 1 - v] + ((3*f[6, 19])/4 - f[6, 33]/8 - f[6, 35]/4 - 
       f[6, 38]/8 - f[6, 39]/4 - f[6, 40]/4 + f[6, 41]/4 + f[6, 43]/4 + 
       f[6, 44]/8 + f[6, 47]/2 + (3*f[6, 53])/16 - (5*f[6, 54])/16)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     (-f[6, 6] + f[6, 11]/4 + f[6, 12]/2 + f[6, 13]/4 + f[6, 14]/4 + 
       f[6, 15]/4 + (3*f[6, 16])/8 + f[6, 17]/2 + 10*f[6, 19] + f[6, 20]/4 - 
       f[6, 22]/8 + (3*f[6, 23])/8 + (5*f[6, 24])/32 - (5*f[6, 25])/16 + 
       (3*f[6, 26])/32 + (3*f[6, 27])/8 - f[6, 28]/4 - (5*f[6, 29])/32 - 
       (21*f[6, 33])/32 - f[6, 34]/2 - (65*f[6, 35])/32 - f[6, 36]/2 + 
       f[6, 37]/4 - (5*f[6, 38])/8 - (51*f[6, 39])/16 - (51*f[6, 40])/16 + 
       (5*f[6, 41])/2 - (15*f[6, 42])/8 + 2*f[6, 43] - 2*f[6, 47] - 
       (21*f[6, 53])/16 + (61*f[6, 54])/16)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v] + (f[6, 20]/4 + f[6, 21]/4 - f[6, 22]/4 + 
       f[6, 24]/4 - f[6, 25]/4 + f[6, 26]/2 + f[6, 27]/4 - f[6, 28]/4 + 
       f[6, 29]/4 + f[6, 30]/2 + f[6, 31]/2 - f[6, 32]/2 - f[6, 33]/4 - 
       f[6, 34]/2 - f[6, 35]/4 - (3*f[6, 36])/4 + (3*f[6, 37])/4 + 
       (3*f[6, 39])/2 + (5*f[6, 40])/2 + f[6, 42] - f[6, 43]/2 + f[6, 44] - 
       f[6, 47] - f[6, 49] - f[6, 53]/4 + 2*f[6, 54])*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (-f[6, 27]/2 + f[6, 30]/2 + f[6, 31]/2 - f[6, 32]/2 + f[6, 35]/2 + 
       f[6, 38]/2 + f[6, 41]/2 + f[6, 42]/4 + (3*f[6, 43])/2 - f[6, 44] + 
       (3*f[6, 53])/4 - (9*f[6, 54])/4)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + f[6, 47]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + 
     (-2*f[6, 3] - f[6, 9] + f[6, 20]/4 + f[6, 24]/4 + f[6, 27]/2 + 
       f[6, 28]/4 - f[6, 29]/4 - (3*f[6, 30])/4 - (3*f[6, 31])/4 + 
       (3*f[6, 32])/4 + f[6, 34]/4 - f[6, 35] + f[6, 36]/2 - f[6, 37]/4 - 
       f[6, 38]/2 - (3*f[6, 41])/4 - (3*f[6, 42])/8 + f[6, 43]/4 - 
       (7*f[6, 44])/4 + (7*f[6, 53])/8 - (15*f[6, 54])/8)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u] + (-f[6, 20]/4 - f[6, 21]/4 + f[6, 22]/4 + 
       f[6, 23] - f[6, 24]/4 - f[6, 25]/4 - f[6, 26]/2 - f[6, 27]/4 + 
       f[6, 28]/4 - f[6, 29]/4 - f[6, 30]/2 - f[6, 31]/2 + f[6, 32]/2 - 
       f[6, 33]/4 + f[6, 34]/2 - f[6, 35]/4 + (3*f[6, 36])/4 - 
       (3*f[6, 37])/4 - f[6, 38]/2 + f[6, 39] - f[6, 41] - f[6, 42]/4 - 
       f[6, 43]/2 - (3*f[6, 44])/4 + f[6, 53]/4 - (3*f[6, 54])/4)*
      HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v] + 
     (-f[6, 20]/4 - f[6, 21]/4 + f[6, 22]/4 + f[6, 23] - f[6, 24]/4 - 
       f[6, 25]/4 - f[6, 26]/2 - f[6, 27]/4 + f[6, 28]/4 - f[6, 29]/4 - 
       f[6, 30]/2 - f[6, 31]/2 + f[6, 32]/2 - f[6, 33]/4 + f[6, 34]/2 - 
       f[6, 35]/4 + (3*f[6, 36])/4 - (3*f[6, 37])/4 - f[6, 38]/2 - 
       (3*f[6, 39])/2 - (5*f[6, 40])/2 - f[6, 41]/4 - (3*f[6, 42])/8 - 
       f[6, 43]/4 - (3*f[6, 44])/4 + f[6, 53]/4 - (5*f[6, 54])/4)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (-f[6, 20]/4 - f[6, 23] - f[6, 24]/2 + f[6, 25]/2 + f[6, 26]/4 + 
       f[6, 28]/4 + f[6, 29]/2 - f[6, 30]/4 - f[6, 31]/4 + f[6, 32]/4 + 
       f[6, 33]/4 + f[6, 34]/4 + f[6, 35]/4 + f[6, 36]/2 - f[6, 37]/4 + 
       f[6, 38]/2 - (3*f[6, 39])/2 - f[6, 40]/2 + f[6, 41]/4 + 
       (5*f[6, 42])/8 + (9*f[6, 43])/4 + (5*f[6, 44])/4 + (9*f[6, 53])/8 - 
       (29*f[6, 54])/8)*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((-3*f[6, 11])/4 + f[6, 13]/4 - (3*f[6, 14])/8 + (3*f[6, 16])/8 - 
       (3*f[6, 17])/4 - (3*f[6, 23])/8 - (3*f[6, 24])/32 + (3*f[6, 25])/16 + 
       (3*f[6, 26])/32 + (3*f[6, 29])/32 + (3*f[6, 33])/32 + 
       (27*f[6, 35])/32 - (11*f[6, 39])/16 - (11*f[6, 40])/16 + f[6, 41]/4 + 
       f[6, 42]/4 + (3*f[6, 43])/4 - f[6, 44]/8 - (5*f[6, 54])/4)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     (f[6, 14]/2 - f[6, 20]/2 - f[6, 21]/2 + f[6, 22]/2 - f[6, 24]/2 + 
       f[6, 25]/2 - f[6, 26] - (3*f[6, 27])/4 + (3*f[6, 28])/4 - f[6, 29]/2 - 
       f[6, 30] - f[6, 31] + f[6, 32] + f[6, 33]/2 + (5*f[6, 34])/4 + 
       f[6, 35]/4 + 2*f[6, 36] - (7*f[6, 37])/4 - 3*f[6, 39] - 5*f[6, 40] - 
       2*f[6, 42] + (3*f[6, 43])/2 - (7*f[6, 44])/4 + 2*f[6, 47] + 
       2*f[6, 49] + (13*f[6, 53])/8 - (53*f[6, 54])/8)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (f[6, 12]/4 + 2*f[6, 19] + f[6, 20]/4 + 
       f[6, 21]/8 - f[6, 22]/8 - f[6, 23]/2 + f[6, 24]/8 + (3*f[6, 26])/8 + 
       f[6, 27]/8 - f[6, 28]/8 + f[6, 29]/8 + f[6, 30]/4 + f[6, 31]/4 - 
       f[6, 32]/4 + f[6, 33]/8 - (3*f[6, 34])/8 - (3*f[6, 36])/8 + 
       (3*f[6, 37])/8 + f[6, 38]/4 - (17*f[6, 39])/8 - (13*f[6, 40])/8 + 
       (27*f[6, 41])/16 - (11*f[6, 42])/32 + (15*f[6, 43])/16 + f[6, 44]/4 + 
       f[6, 51]/2 - (5*f[6, 53])/8 + f[6, 54]/8)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1}, 1 - v] + (-f[6, 12] + f[6, 13] - 8*f[6, 19] - 
       2*f[6, 20] - (3*f[6, 21])/2 + (3*f[6, 22])/2 + 6*f[6, 23] - 
       (3*f[6, 24])/2 - f[6, 25] - (7*f[6, 26])/2 - (3*f[6, 27])/2 + 
       (3*f[6, 28])/2 - (3*f[6, 29])/2 - 3*f[6, 30] - 3*f[6, 31] + 
       3*f[6, 32] - (3*f[6, 33])/2 + (7*f[6, 34])/2 - f[6, 35] + 
       (9*f[6, 36])/2 - (9*f[6, 37])/2 - 3*f[6, 38] + (23*f[6, 39])/2 + 
       (11*f[6, 40])/2 - (35*f[6, 41])/4 + f[6, 42]/8 - (25*f[6, 43])/4 - 
       (9*f[6, 44])/2 + f[6, 51] + (7*f[6, 53])/2 - (5*f[6, 54])/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (-f[6, 2] + f[6, 9] - f[6, 11]/2 - f[6, 12]/12 - (5*f[6, 13])/2 + 
       (4*f[6, 14])/3 - f[6, 15]/6 + f[6, 16]/4 - f[6, 17]/3 + f[6, 18]/2 + 
       f[6, 20]/24 + f[6, 21]/24 - f[6, 22]/24 - (3*f[6, 23])/4 - 
       (5*f[6, 24])/48 + f[6, 25]/4 + (11*f[6, 26])/48 - (23*f[6, 27])/24 - 
       (7*f[6, 28])/24 - (5*f[6, 29])/16 + f[6, 30]/3 + f[6, 31]/3 - 
       f[6, 32]/3 + (5*f[6, 33])/48 + f[6, 34]/12 + (25*f[6, 35])/48 + 
       (3*f[6, 36])/8 - (5*f[6, 37])/8 + (11*f[6, 38])/12 - 
       (29*f[6, 39])/24 - f[6, 40]/24 + f[6, 41] + f[6, 42]/6 + 
       (3*f[6, 43])/4 + (13*f[6, 44])/4 - (13*f[6, 53])/8 + (55*f[6, 54])/12)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (f[6, 20] + f[6, 21] - f[6, 22] - 4*f[6, 23] + f[6, 24] + f[6, 25] + 
       2*f[6, 26] + f[6, 27] - f[6, 28] + f[6, 29] + 2*f[6, 30] + 
       2*f[6, 31] - 2*f[6, 32] + f[6, 33] - 2*f[6, 34] + f[6, 35] - 
       3*f[6, 36] + 3*f[6, 37] + 2*f[6, 38] - 4*f[6, 39] + 3*f[6, 41] + 
       f[6, 42] + 2*f[6, 43] + 3*f[6, 44] - f[6, 53] + f[6, 54])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v] + (f[6, 53]/4 - f[6, 54]/2)*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-f[6, 20] - f[6, 21] + f[6, 22] + 4*f[6, 23] - f[6, 24] - f[6, 25] - 
       2*f[6, 26] - f[6, 27] + f[6, 28] - f[6, 29] - 2*f[6, 30] - 
       2*f[6, 31] + 2*f[6, 32] - f[6, 33]/2 + 2*f[6, 34] - f[6, 35]/2 + 
       (7*f[6, 36])/2 - 3*f[6, 37] - (3*f[6, 38])/2 + 3*f[6, 39] - f[6, 40] - 
       (11*f[6, 41])/4 - (7*f[6, 42])/8 - (5*f[6, 43])/4 - (11*f[6, 44])/4 + 
       f[6, 53] - 2*f[6, 54])*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((3*f[6, 53])/8 - (9*f[6, 54])/4)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + ((9*f[6, 20])/4 + (9*f[6, 21])/4 - 
       (9*f[6, 22])/4 - 9*f[6, 23] + (9*f[6, 24])/4 + (9*f[6, 25])/4 + 
       (9*f[6, 26])/2 + (9*f[6, 27])/4 - (9*f[6, 28])/4 + (9*f[6, 29])/4 + 
       (9*f[6, 30])/2 + (9*f[6, 31])/2 - (9*f[6, 32])/2 + (9*f[6, 33])/4 - 
       (9*f[6, 34])/2 + (9*f[6, 35])/4 - (27*f[6, 36])/4 + (27*f[6, 37])/4 + 
       (9*f[6, 38])/2 - 9*f[6, 39] + (15*f[6, 41])/2 + (3*f[6, 42])/2 + 
       (9*f[6, 43])/2 + 6*f[6, 44] - 3*f[6, 51] - (9*f[6, 53])/4 + 
       3*f[6, 54])*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (f[6, 7]/4 + f[6, 8]/2 + f[6, 50])*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      SPw2f1[u, v] - f[6, 50]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      SPw2f1[u, v] + (2*f[6, 10] - (3*f[6, 12])/4 + f[6, 13] + f[6, 14]/2 + 
       (5*f[6, 15])/4 + (5*f[6, 16])/4 + f[6, 17] - f[6, 18]/4 + f[6, 19] + 
       (7*f[6, 20])/16 + (13*f[6, 21])/16 - (17*f[6, 22])/16 - 2*f[6, 23] + 
       f[6, 24]/2 - (5*f[6, 25])/16 + (29*f[6, 26])/16 + (17*f[6, 27])/16 - 
       (13*f[6, 28])/16 + (11*f[6, 29])/8 + (17*f[6, 30])/8 + 
       (17*f[6, 31])/8 - (17*f[6, 32])/8 + (11*f[6, 33])/8 - (7*f[6, 34])/4 + 
       f[6, 35]/2 - (47*f[6, 36])/16 + (47*f[6, 37])/16 + (19*f[6, 38])/8 + 
       (5*f[6, 39])/4 + 6*f[6, 40] + (5*f[6, 41])/16 + (125*f[6, 42])/32 + 
       (27*f[6, 43])/16 + (85*f[6, 44])/16 + 3*f[6, 47] - (17*f[6, 53])/16 + 
       (45*f[6, 54])/16)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*SPw2f1[u, v] + 
     (-f[6, 6] - f[6, 10] + f[6, 11]/4 + f[6, 12]/2 + f[6, 13]/4 - 
       (3*f[6, 15])/4 - (5*f[6, 16])/8 + f[6, 18]/2 + (17*f[6, 19])/4 + 
       f[6, 20] + f[6, 21]/4 + f[6, 22]/8 - (5*f[6, 23])/8 + 
       (21*f[6, 24])/32 + (7*f[6, 25])/16 + (11*f[6, 26])/32 + f[6, 27]/8 - 
       f[6, 28]/2 - (21*f[6, 29])/32 - f[6, 30]/2 - f[6, 31]/2 + f[6, 32]/2 - 
       (25*f[6, 33])/32 - f[6, 34]/2 - (41*f[6, 35])/32 - f[6, 36]/4 - 
       (5*f[6, 38])/4 - (23*f[6, 39])/16 - (55*f[6, 40])/16 + 
       (9*f[6, 41])/4 - (21*f[6, 42])/8 + (5*f[6, 43])/4 - (9*f[6, 44])/8 - 
       2*f[6, 47] - (5*f[6, 53])/16 - (23*f[6, 54])/16)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*SPw2f1[u, v] + (-f[6, 15]/2 - f[6, 16]/2 + 
       f[6, 18]/2 + (19*f[6, 19])/2 + f[6, 22]/2 + (5*f[6, 23])/2 + 
       f[6, 24]/8 - f[6, 25]/2 - (5*f[6, 26])/8 - f[6, 27]/2 - 
       (5*f[6, 29])/8 - f[6, 30] - f[6, 31] + f[6, 32] - (11*f[6, 33])/8 + 
       f[6, 34] - (13*f[6, 35])/8 + f[6, 36] - f[6, 37] - (9*f[6, 38])/4 + 
       (3*f[6, 39])/4 - (9*f[6, 40])/4 - f[6, 42] + 2*f[6, 43] - f[6, 44]/2 + 
       f[6, 53]/2 - 3*f[6, 54])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      SPw2f1[u, v] + (-f[6, 20]/2 - f[6, 21]/2 + f[6, 22]/2 + 2*f[6, 23] - 
       f[6, 24]/2 - f[6, 25]/2 - f[6, 26] - f[6, 27]/2 + f[6, 28]/2 - 
       f[6, 29]/2 - f[6, 30] - f[6, 31] + f[6, 32] - f[6, 33]/2 + f[6, 34] - 
       f[6, 35]/2 + (3*f[6, 36])/2 - (3*f[6, 37])/2 - f[6, 38] - f[6, 39] - 
       3*f[6, 40] - (3*f[6, 41])/2 - (5*f[6, 42])/4 - (3*f[6, 43])/2 - 
       (5*f[6, 44])/2 + f[6, 53]/2 - (5*f[6, 54])/2)*HPL[{0, 0, 1}, 1 - v]*
      SPw2f1[u, v] + (-f[6, 12]/2 + 4*f[6, 19] - 2*f[6, 20] - 2*f[6, 21] + 
       2*f[6, 22] + 8*f[6, 23] - 2*f[6, 24] - 2*f[6, 25] - 4*f[6, 26] - 
       2*f[6, 27] + 2*f[6, 28] - 2*f[6, 29] - 4*f[6, 30] - 4*f[6, 31] + 
       4*f[6, 32] - (3*f[6, 33])/2 + 4*f[6, 34] - f[6, 35] + 6*f[6, 36] - 
       6*f[6, 37] - (7*f[6, 38])/2 + (19*f[6, 39])/2 + (3*f[6, 40])/2 - 
       (37*f[6, 41])/4 - (11*f[6, 42])/8 - (21*f[6, 43])/4 - 6*f[6, 44] + 
       (3*f[6, 53])/2 + (3*f[6, 54])/2)*HPL[{0, 1, 1}, 1 - u]*SPw2f1[u, v] + 
     (-2*f[6, 45] + 2*f[6, 52])*HPL[{1}, 1 - u]*SPw2f1[u, v]^2 + 
     (f[6, 7]/4 + f[6, 8]/2 - f[6, 45] + f[6, 50] + (3*f[6, 52])/2)*
      HPL[{1}, 1 - v]*SPw2f1[u, v]^2 + (f[6, 19]/2 - f[6, 47] + f[6, 53]/8 + 
       f[6, 54])*HPL[{1}, 1 - u]^2*SPw3f1[u, v] + 
     (-f[6, 15]/4 - f[6, 16]/4 + f[6, 18]/4 + f[6, 19] - f[6, 20]/4 - 
       f[6, 21]/4 + f[6, 22]/2 + (9*f[6, 23])/4 - (3*f[6, 24])/16 - 
       f[6, 25]/2 - (13*f[6, 26])/16 - f[6, 27]/2 + f[6, 28]/4 - 
       (9*f[6, 29])/16 - f[6, 30] - f[6, 31] + f[6, 32] - (9*f[6, 33])/16 + 
       f[6, 34] - (5*f[6, 35])/16 + (5*f[6, 36])/4 - (5*f[6, 37])/4 - 
       (5*f[6, 38])/4 + (33*f[6, 39])/8 + (13*f[6, 40])/8 - (11*f[6, 41])/4 + 
       f[6, 42]/8 - (5*f[6, 43])/4 - f[6, 44] - f[6, 47] + f[6, 53]/2 + 
       f[6, 54])*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*SPw3f1[u, v] + 
     (2*f[6, 47] - f[6, 53]/2 - (11*f[6, 54])/2)*HPL[{1}, 1 - v]^2*
      SPw3f1[u, v] + (-2*f[6, 49] - f[6, 53]/8 + (7*f[6, 54])/8)*
      HPL[{0, 1}, 1 - v]*SPw3f1[u, v] + (f[6, 15]/2 + f[6, 16]/2 - 
       f[6, 18]/2 - f[6, 20]/2 - f[6, 21]/2 - f[6, 23]/2 - (5*f[6, 24])/8 - 
       (3*f[6, 26])/8 + f[6, 28]/2 + f[6, 29]/8 + f[6, 33]/8 - 
       (3*f[6, 35])/8 + f[6, 36]/2 - f[6, 37]/2 + f[6, 38]/2 - f[6, 39]/4 + 
       (3*f[6, 40])/4 - f[6, 41]/2 - f[6, 42]/4 - (3*f[6, 43])/2 - f[6, 44] - 
       2*f[6, 47] + 3*f[6, 54])*SPw2f1[u, v]*SPw3f1[u, v] - 
     f[6, 13]*HPL[{1}, 1 - v]^2*SPw3f1[v, u] + (f[6, 7]/2 - f[6, 52]/2)*
      HPL[{1}, 1 - u]^2*SPw3f2[u, v] + (-f[6, 45] - (5*f[6, 52])/4)*
      HPL[{1}, 1 - v]^2*SPw3f2[u, v] + (f[6, 12]/4 - f[6, 18]/4 - 
       (5*f[6, 20])/8 - (3*f[6, 21])/8 + f[6, 22]/8 + f[6, 23] - 
       (3*f[6, 24])/8 - f[6, 25]/8 - (3*f[6, 26])/4 - f[6, 27]/8 + 
       (3*f[6, 28])/8 - f[6, 29]/8 - f[6, 30]/4 - f[6, 31]/4 + f[6, 32]/4 - 
       f[6, 33]/8 + f[6, 34]/2 - f[6, 35]/8 + (5*f[6, 36])/8 - 
       (5*f[6, 37])/8 - (5*f[6, 39])/4 - (5*f[6, 40])/4 - f[6, 41]/4 - 
       (7*f[6, 42])/8 - (3*f[6, 43])/2 - (3*f[6, 44])/2 + f[6, 53]/8 - 
       (3*f[6, 54])/4)*HPL[{0, 1}, 1 - u]*SPw3f2[u, v] - 
     (f[6, 54]*HPL[{0, 1}, 1 - v]*SPw3f2[u, v])/8 - 
     (f[6, 4]*HPL[{1}, 1 - u]^2*SPw3f2[v, u])/2 + 
     (f[6, 7]/4 + f[6, 8]/2 - 3*f[6, 45] - f[6, 52])*HPL[{1}, 1 - v]^2*
      SPw3f2[v, u] + (f[6, 14]/4 + f[6, 17]/2 - f[6, 35]/2 - f[6, 43]/2 + 
       f[6, 47])*HPL[{0, 1}, 1 - u]*SPw3f2[v, u] + 
     (-2*f[6, 13] + 4*f[6, 19] + 3*f[6, 39] + 3*f[6, 40] - (3*f[6, 41])/2 - 
       f[6, 42]/4 - (3*f[6, 43])/2 - f[6, 44] - f[6, 54]/2)*HPL[{1}, 1 - v]*
      SPw4f1[u, v] + (f[6, 54]*HPL[{1}, 1 - u]*SPw4f4[u, v])/2 + 
     (f[6, 39] + f[6, 40] - f[6, 41]/2 + f[6, 42]/4 + f[6, 43]/2 + 
       f[6, 44]/2)*HPL[{1}, 1 - u]*SPw4f5[u, v] - 2*f[6, 13]*HPL[{1}, 1 - v]*
      SPw4f5[u, v] + (f[6, 43] + f[6, 44]/2)*SPw5f10[u, v] + 
     (f[6, 53]/4 - f[6, 54]/2)*SPw5f16[v, u] + (f[6, 45] - f[6, 50])*
      SPw5f3[v, u] - f[6, 51]*SPw5f4[v, u] + f[6, 43]*SPw5f5[v, u] + 
     f[6, 47]*SPw5f7[v, u] - f[6, 54]*SPw5f9[u, v]
 
SPuvCoproductEntriesWeight7[1 - u] = 
    ((-5*f[7, 21])/24 + (2*f[7, 26])/15 + (7*f[7, 27])/60 - f[7, 28]/15 - 
       (25*f[7, 30])/192 + (23*f[7, 31])/60 - (2*f[7, 32])/15 + f[7, 33]/10 + 
       (2*f[7, 35])/15 + f[7, 36]/15 + f[7, 37]/480 + (11*f[7, 38])/30 + 
       f[7, 39]/15 + f[7, 40]/5 - f[7, 41]/30 - f[7, 42]/30 - f[7, 43]/5 - 
       (2*f[7, 44])/5 - (13*f[7, 45])/120 - (23*f[7, 46])/120 + 
       (7*f[7, 47])/160 + f[7, 48]/30 - (317*f[7, 49])/960 + 
       (5*f[7, 50])/24 - (19*f[7, 51])/960 - f[7, 52]/4 + 
       (119*f[7, 53])/480 + f[7, 54]/96 - (47*f[7, 55])/96 - 
       (3689*f[7, 56])/3840 - (301*f[7, 57])/1536 + (1369*f[7, 58])/480 + 
       (11*f[7, 59])/1440 - (13427*f[7, 60])/15360 - (2945*f[7, 61])/1536 - 
       (5839*f[7, 62])/5760 - (5839*f[7, 63])/5760 + (5839*f[7, 64])/5760 - 
       (73381*f[7, 65])/7680 + (11859*f[7, 66])/1280 + (8579*f[7, 67])/2560 + 
       (34471*f[7, 68])/1920 + (11579*f[7, 69])/640 - (10523*f[7, 70])/2560 + 
       (6365*f[7, 71])/1536 - (35183*f[7, 72])/1920 + (34157*f[7, 73])/1920 + 
       (11589*f[7, 74])/640 + (12797*f[7, 75])/23040 - 
       (25827*f[7, 76])/1024 + (78311*f[7, 77])/5120 - (2215*f[7, 78])/256 + 
       (231163*f[7, 79])/23040 + (59863*f[7, 80])/23040 + 
       (10099*f[7, 81])/960 - (750593*f[7, 82])/11520 - 
       (91273*f[7, 83])/1920 - (193201*f[7, 84])/23040 + 
       (1103873*f[7, 85])/46080 + (1373293*f[7, 86])/23040 + 
       (641473*f[7, 87])/23040 - (178637*f[7, 88])/23040 + 
       (56321*f[7, 89])/11520 + (26995*f[7, 90])/9216 - 
       (155551*f[7, 91])/11520 + (52879*f[7, 92])/1920 + 
       (1084703*f[7, 93])/46080 - (1169*f[7, 94])/1536 + 
       (304663*f[7, 95])/7680 - (40903*f[7, 96])/7680 - 
       (444619*f[7, 97])/23040 - (441259*f[7, 98])/23040 + 
       (74653*f[7, 99])/4608 + (1340647*f[7, 100])/11520 + 
       (259021*f[7, 101])/23040 + (425491*f[7, 102])/23040 + 
       (11789*f[7, 103])/2880 + (231017*f[7, 104])/23040 + 
       (202537*f[7, 105])/23040 - (212773*f[7, 106])/2880 + 
       (176531*f[7, 107])/2880 - (3461*f[7, 108])/180 - 
       (10643*f[7, 109])/768 + (39243*f[7, 110])/5120 + 
       (232247*f[7, 111])/11520 - (22007*f[7, 112])/768 - 
       (23117*f[7, 113])/4608 - (261449*f[7, 114])/23040 - 
       (306001*f[7, 115])/46080 - (174481*f[7, 116])/23040 + 
       (4414519*f[7, 117])/11520 + (178087*f[7, 118])/46080 - 
       (2269499*f[7, 119])/46080 - (35529*f[7, 120])/1280 + 
       (4187*f[7, 121])/256 - (264749*f[7, 122])/5760 - 
       (9751*f[7, 123])/640 + (121351*f[7, 124])/3840 + 
       (139847*f[7, 125])/5760 - (576421*f[7, 126])/23040 + f[7, 132]/40 - 
       f[7, 134]/40 + (9*f[7, 135])/80 - (419*f[7, 136])/480 + 
       (1501*f[7, 137])/240 + (5531*f[7, 138])/960 - (19*f[7, 144])/60 - 
       (11*f[7, 145])/24 + (1937*f[7, 146])/240 + (1717*f[7, 147])/1920 + 
       (170297*f[7, 148])/3840 + (105719*f[7, 149])/960 + 
       (167239*f[7, 150])/2880)*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v] + 
     (-f[7, 21]/8 + f[7, 26]/5 + f[7, 27]/20 - (13*f[7, 28])/80 + 
       (5*f[7, 30])/64 + (9*f[7, 31])/20 - (13*f[7, 32])/40 + 
       (17*f[7, 33])/30 + f[7, 35]/5 + (13*f[7, 36])/80 + (3*f[7, 37])/160 + 
       (83*f[7, 38])/60 + (13*f[7, 39])/80 + (29*f[7, 40])/80 - 
       (13*f[7, 41])/160 - (13*f[7, 42])/160 - (39*f[7, 43])/80 - 
       (39*f[7, 44])/40 - (33*f[7, 45])/80 - (63*f[7, 46])/80 - 
       (3*f[7, 47])/40 - (11*f[7, 48])/80 - (241*f[7, 49])/320 + 
       (103*f[7, 50])/96 - (67*f[7, 51])/320 - (11*f[7, 52])/16 + 
       (139*f[7, 53])/120 - (3*f[7, 54])/16 + (47*f[7, 55])/48 - 
       (2557*f[7, 56])/1280 + (471*f[7, 57])/512 + (1707*f[7, 58])/160 - 
       (343*f[7, 59])/320 - (6471*f[7, 60])/5120 - (1613*f[7, 61])/512 - 
       (36089*f[7, 62])/7680 - (36089*f[7, 63])/7680 + 
       (36089*f[7, 64])/7680 - (136699*f[7, 65])/7680 + 
       (21761*f[7, 66])/1280 + (7121*f[7, 67])/2560 + (58579*f[7, 68])/1920 + 
       (58883*f[7, 69])/1920 - (50851*f[7, 70])/7680 + 
       (10295*f[7, 71])/1536 - (18849*f[7, 72])/640 + (18941*f[7, 73])/640 + 
       (19071*f[7, 74])/640 - (24293*f[7, 75])/7680 - 
       (123875*f[7, 76])/3072 + (427507*f[7, 77])/15360 - 
       (10891*f[7, 78])/768 + (147623*f[7, 79])/7680 + 
       (33443*f[7, 80])/7680 + (8761*f[7, 81])/192 - (138839*f[7, 82])/1280 - 
       (33551*f[7, 83])/384 - (121157*f[7, 84])/7680 + 
       (579497*f[7, 85])/15360 + (240621*f[7, 86])/2560 + 
       (108861*f[7, 87])/2560 - (21613*f[7, 88])/1536 + 
       (85147*f[7, 89])/7680 + (132163*f[7, 90])/15360 - 
       (37993*f[7, 91])/768 + (46301*f[7, 92])/960 + (578083*f[7, 93])/
        15360 - (107459*f[7, 94])/7680 + (514921*f[7, 95])/7680 - 
       (126379*f[7, 96])/7680 - (43733*f[7, 97])/1536 - 
       (216217*f[7, 98])/7680 + (2597*f[7, 99])/96 + (169867*f[7, 100])/768 + 
       (29509*f[7, 101])/1280 + (29239*f[7, 102])/640 + 
       (3639*f[7, 103])/1280 + (3987*f[7, 104])/128 + 
       (82603*f[7, 105])/7680 - (92719*f[7, 106])/640 + 
       (80629*f[7, 107])/640 - (62843*f[7, 108])/1536 - 
       (89567*f[7, 109])/2560 + (207077*f[7, 110])/15360 + 
       (223661*f[7, 111])/7680 - (117329*f[7, 112])/2560 - 
       (17357*f[7, 113])/1280 - (62781*f[7, 114])/2560 - 
       (382501*f[7, 115])/15360 - (11611*f[7, 116])/1536 + 
       (930903*f[7, 117])/1280 - (19483*f[7, 118])/15360 - 
       (1477471*f[7, 119])/15360 - (78943*f[7, 120])/1536 + 
       (88353*f[7, 121])/2560 - (690673*f[7, 122])/7680 - 
       (72759*f[7, 123])/2560 + (20159*f[7, 124])/320 + 
       (142681*f[7, 125])/2560 - (83771*f[7, 126])/1920 - (13*f[7, 132])/80 + 
       (13*f[7, 134])/80 - (37*f[7, 135])/160 + (1659*f[7, 136])/320 - 
       (56507*f[7, 137])/1920 - (196127*f[7, 138])/7680 - (13*f[7, 144])/40 + 
       (5*f[7, 145])/16 + (1739*f[7, 146])/160 + (481*f[7, 147])/120 + 
       (16277*f[7, 148])/480 + (599551*f[7, 149])/7680 + 
       (36367*f[7, 150])/640)*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2 + 
     (-f[7, 37]/48 + f[7, 48]/48 - f[7, 49]/96 + f[7, 51]/48 + f[7, 52]/24 - 
       f[7, 53]/48 + f[7, 54]/32 - f[7, 55]/24 + (7*f[7, 56])/96 + 
       f[7, 57]/128 + (7*f[7, 58])/24 + (31*f[7, 59])/576 + 
       (3*f[7, 60])/256 + (59*f[7, 61])/384 + (25*f[7, 62])/2304 + 
       (25*f[7, 63])/2304 - (25*f[7, 64])/2304 + (331*f[7, 65])/384 - 
       (67*f[7, 66])/64 - (241*f[7, 67])/384 - (205*f[7, 68])/96 - 
       (205*f[7, 69])/96 + (217*f[7, 70])/384 - (217*f[7, 71])/384 + 
       (205*f[7, 72])/96 - (103*f[7, 73])/48 - (205*f[7, 74])/96 - 
       (545*f[7, 75])/2304 + (2441*f[7, 76])/768 - (1607*f[7, 77])/768 + 
       (197*f[7, 78])/192 - (2053*f[7, 79])/2304 - (991*f[7, 80])/2304 + 
       (23*f[7, 81])/12 + (1135*f[7, 82])/144 + (53*f[7, 83])/12 + 
       (2233*f[7, 84])/2304 - (227*f[7, 85])/72 - (17395*f[7, 86])/2304 - 
       (8155*f[7, 87])/2304 + (2177*f[7, 88])/2304 - (769*f[7, 89])/2304 - 
       (83*f[7, 90])/288 - (491*f[7, 91])/288 - (793*f[7, 92])/256 - 
       (1573*f[7, 93])/576 - (1099*f[7, 94])/768 - (1277*f[7, 95])/256 + 
       f[7, 96]/2 + (1501*f[7, 97])/576 + (1501*f[7, 98])/576 - 
       (631*f[7, 99])/288 - (8243*f[7, 100])/576 - (3427*f[7, 101])/2304 - 
       (131*f[7, 102])/288 - (845*f[7, 103])/1152 + (1417*f[7, 104])/2304 - 
       (2395*f[7, 105])/2304 + (2245*f[7, 106])/288 - (4561*f[7, 107])/576 + 
       (3973*f[7, 108])/2304 + (527*f[7, 109])/768 - (649*f[7, 110])/768 - 
       (6631*f[7, 111])/2304 + (2957*f[7, 112])/768 - (11*f[7, 113])/576 + 
       (1991*f[7, 114])/2304 - (83*f[7, 115])/288 + (3151*f[7, 116])/2304 - 
       (12655*f[7, 117])/288 - (2339*f[7, 118])/2304 + 
       (12799*f[7, 119])/2304 + (2419*f[7, 120])/768 - (435*f[7, 121])/256 + 
       (11615*f[7, 122])/2304 + (1525*f[7, 123])/768 - (469*f[7, 124])/128 - 
       (5267*f[7, 125])/2304 + (3599*f[7, 126])/1152 + f[7, 135]/96 + 
       (7*f[7, 136])/48 + (205*f[7, 137])/96 + (89*f[7, 138])/48 + 
       (3*f[7, 146])/8 + (29*f[7, 147])/64 - (793*f[7, 148])/384 - 
       (2231*f[7, 149])/384 - (1369*f[7, 150])/576)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]^3 + (f[7, 22]/6 + f[7, 24]/12 - f[7, 26]/10 + 
       f[7, 27]/10 + f[7, 28]/20 - f[7, 31]/10 + f[7, 32]/10 + 
       (3*f[7, 33])/10 - f[7, 34]/48 - f[7, 35]/10 + f[7, 36]/5 - 
       f[7, 37]/40 - (2*f[7, 38])/5 - f[7, 39]/20 - (3*f[7, 40])/20 + 
       (11*f[7, 41])/40 + (11*f[7, 42])/40 + (11*f[7, 43])/15 + 
       (53*f[7, 44])/60 + (101*f[7, 45])/120 + (101*f[7, 46])/120 + 
       (47*f[7, 47])/120 - (167*f[7, 48])/480 + (187*f[7, 49])/480 - 
       (49*f[7, 50])/48 + (209*f[7, 51])/480 + (7*f[7, 52])/16 - 
       (127*f[7, 53])/120 + (79*f[7, 54])/96 - (17*f[7, 55])/8 + 
       (4439*f[7, 56])/1920 - (1775*f[7, 57])/768 - (1029*f[7, 58])/40 - 
       (1429*f[7, 59])/2880 + (789*f[7, 60])/2560 + (1613*f[7, 61])/768 + 
       (155303*f[7, 62])/11520 + (155303*f[7, 63])/11520 - 
       (155303*f[7, 64])/11520 + (31867*f[7, 65])/1280 - 
       (46217*f[7, 66])/1920 + (6383*f[7, 67])/3840 - (43801*f[7, 68])/960 - 
       (44017*f[7, 69])/960 + (13283*f[7, 70])/1280 - (7669*f[7, 71])/768 + 
       (42223*f[7, 72])/960 - (43097*f[7, 73])/960 - (14289*f[7, 74])/320 + 
       (121721*f[7, 75])/11520 + (90277*f[7, 76])/1536 - 
       (401953*f[7, 77])/7680 + (8681*f[7, 78])/384 - 
       (321491*f[7, 79])/11520 - (4961*f[7, 80])/11520 - 
       (16213*f[7, 81])/192 + (742129*f[7, 82])/5760 + (19363*f[7, 83])/192 + 
       (254609*f[7, 84])/11520 - (1028329*f[7, 85])/23040 - 
       (1425491*f[7, 86])/11520 - (605351*f[7, 87])/11520 + 
       (46505*f[7, 88])/2304 - (260789*f[7, 89])/11520 - 
       (253051*f[7, 90])/23040 + (147037*f[7, 91])/1152 - 
       (61673*f[7, 92])/960 - (863611*f[7, 93])/23040 + 
       (158531*f[7, 94])/3840 - (363079*f[7, 95])/3840 + 
       (52947*f[7, 96])/1280 + (64477*f[7, 97])/2304 + 
       (318449*f[7, 98])/11520 - (41725*f[7, 99])/1152 - 
       (479119*f[7, 100])/1152 - (282859*f[7, 101])/5760 - 
       (31363*f[7, 102])/360 + (9389*f[7, 103])/1440 - 
       (74203*f[7, 104])/1152 + (29449*f[7, 105])/11520 + 
       (77603*f[7, 106])/360 - (709889*f[7, 107])/2880 + 
       (174277*f[7, 108])/2304 + (83603*f[7, 109])/1280 - 
       (39403*f[7, 110])/7680 - (297227*f[7, 111])/11520 + 
       (210883*f[7, 112])/3840 + (229687*f[7, 113])/5760 + 
       (514651*f[7, 114])/11520 + (1233797*f[7, 115])/23040 - 
       (3689*f[7, 116])/2304 - (7172393*f[7, 117])/5760 + 
       (364471*f[7, 118])/23040 + (4045147*f[7, 119])/23040 + 
       (60293*f[7, 120])/768 - (78237*f[7, 121])/1280 + 
       (1625551*f[7, 122])/11520 + (168433*f[7, 123])/3840 - 
       (16841*f[7, 124])/160 - (1245781*f[7, 125])/11520 + 
       (338119*f[7, 126])/5760 + f[7, 132]/20 + f[7, 133]/6 - 
       (91*f[7, 134])/120 - (11*f[7, 135])/240 - (707*f[7, 136])/120 + 
       (749*f[7, 137])/30 + (12803*f[7, 138])/640 - (9*f[7, 144])/10 - 
       f[7, 145]/2 - (779*f[7, 146])/20 - (7147*f[7, 147])/480 - 
       (48073*f[7, 148])/640 - (327457*f[7, 149])/1920 - 
       (893479*f[7, 150])/5760)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u] + ((-3*f[7, 22])/16 + f[7, 24]/4 - f[7, 25]/8 + 
       f[7, 26]/5 - f[7, 27]/5 - f[7, 28]/10 - f[7, 29]/8 + f[7, 31]/5 - 
       (9*f[7, 32])/20 - (3*f[7, 33])/5 - f[7, 34]/8 - f[7, 35]/20 + 
       (7*f[7, 36])/20 - f[7, 37]/80 + (4*f[7, 38])/5 - (2*f[7, 39])/5 - 
       f[7, 40]/5 + f[7, 41]/80 + f[7, 42]/80 - (3*f[7, 43])/10 - 
       (11*f[7, 44])/10 + (3*f[7, 45])/20 + (3*f[7, 46])/20 - 
       (21*f[7, 47])/80 - (127*f[7, 48])/160 - (63*f[7, 49])/160 + 
       (3*f[7, 50])/4 - (41*f[7, 51])/160 - f[7, 52]/2 + (71*f[7, 53])/80 - 
       f[7, 54]/8 + (25*f[7, 55])/16 - (7*f[7, 56])/5 + (75*f[7, 57])/16 + 
       (523*f[7, 58])/40 - (1537*f[7, 59])/480 + (17*f[7, 60])/160 + 
       f[7, 61]/16 - (22457*f[7, 62])/3840 - (22457*f[7, 63])/3840 + 
       (22457*f[7, 64])/3840 - (1823*f[7, 65])/160 + (1867*f[7, 66])/160 - 
       (413*f[7, 67])/320 + (1671*f[7, 68])/80 + (1697*f[7, 69])/80 - 
       (1859*f[7, 70])/320 + (343*f[7, 71])/64 - (819*f[7, 72])/40 + 
       (3539*f[7, 73])/160 + (1677*f[7, 74])/80 - (17399*f[7, 75])/3840 - 
       (3265*f[7, 76])/128 + (6699*f[7, 77])/320 - (319*f[7, 78])/32 + 
       (44339*f[7, 79])/3840 - (5311*f[7, 80])/3840 + (2783*f[7, 81])/64 - 
       (59213*f[7, 82])/960 - (1535*f[7, 83])/32 - (39731*f[7, 84])/3840 + 
       (81263*f[7, 85])/3840 + (208079*f[7, 86])/3840 + 
       (85439*f[7, 87])/3840 - (6623*f[7, 88])/768 + (38861*f[7, 89])/3840 + 
       (27767*f[7, 90])/3840 - (10265*f[7, 91])/192 + (35933*f[7, 92])/1280 + 
       (67127*f[7, 93])/3840 - (24249*f[7, 94])/1280 + 
       (54741*f[7, 95])/1280 - (11967*f[7, 96])/640 - (5225*f[7, 97])/384 - 
       (27853*f[7, 98])/1920 + (209*f[7, 99])/12 + (4453*f[7, 100])/24 + 
       (79967*f[7, 101])/3840 + (19813*f[7, 102])/480 - 
       (4447*f[7, 103])/960 + (22199*f[7, 104])/768 - (751*f[7, 105])/3840 - 
       (92881*f[7, 106])/960 + (102761*f[7, 107])/960 - 
       (22765*f[7, 108])/768 - (33331*f[7, 109])/1280 + 
       (4173*f[7, 110])/640 + (51203*f[7, 111])/3840 - 
       (32167*f[7, 112])/1280 - (9397*f[7, 113])/480 - 
       (65989*f[7, 114])/3840 - (81379*f[7, 115])/3840 + 
       (767*f[7, 116])/768 + (517741*f[7, 117])/960 - 
       (14851*f[7, 118])/1920 - (36433*f[7, 119])/480 - 
       (8565*f[7, 120])/256 + (35989*f[7, 121])/1280 - 
       (243739*f[7, 122])/3840 - (24397*f[7, 123])/1280 + 
       (30073*f[7, 124])/640 + (183559*f[7, 125])/3840 - 
       (25463*f[7, 126])/960 - f[7, 132]/5 + (3*f[7, 133])/16 + 
       (3*f[7, 134])/40 - (2*f[7, 135])/5 + (1749*f[7, 136])/160 - 
       (2651*f[7, 137])/80 - (4943*f[7, 138])/160 + f[7, 140]/2 + 
       f[7, 144]/2 - f[7, 145]/2 + (41*f[7, 146])/16 - (67*f[7, 147])/32 + 
       (153*f[7, 148])/16 + (1067*f[7, 149])/64 + (55*f[7, 150])/8)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     (-f[7, 7]/4 + f[7, 29]/4 - f[7, 34]/2 - f[7, 45] - f[7, 46] + 
       (3*f[7, 47])/4 + f[7, 49]/4 - 2*f[7, 50] - f[7, 52]/2 - 
       (5*f[7, 53])/2 - (7*f[7, 54])/8 - 5*f[7, 55] - f[7, 56]/16 - 
       (57*f[7, 57])/32 - (35*f[7, 58])/4 - (7*f[7, 60])/64 + 
       (59*f[7, 61])/32 + (143*f[7, 62])/64 + (143*f[7, 63])/64 - 
       (143*f[7, 64])/64 - (413*f[7, 65])/32 + (241*f[7, 66])/16 + 
       (415*f[7, 67])/32 + (327*f[7, 68])/8 + (315*f[7, 69])/8 - 
       (323*f[7, 70])/32 + (323*f[7, 71])/32 - (343*f[7, 72])/8 + 
       (309*f[7, 73])/8 + (323*f[7, 74])/8 + (383*f[7, 75])/32 - 
       (3933*f[7, 76])/64 + (2353*f[7, 77])/64 - (295*f[7, 78])/16 + 
       (97*f[7, 79])/8 + (179*f[7, 80])/32 - (325*f[7, 81])/4 - 
       (2377*f[7, 82])/16 - (531*f[7, 83])/8 - (223*f[7, 84])/16 + 
       (3835*f[7, 85])/64 + (4883*f[7, 86])/32 + (2329*f[7, 87])/32 - 
       (249*f[7, 88])/16 + (313*f[7, 89])/64 - (145*f[7, 90])/64 + 
       (19*f[7, 91])/8 + (1811*f[7, 92])/32 + (3405*f[7, 93])/64 + 
       (403*f[7, 94])/16 + (1495*f[7, 95])/16 - 2*f[7, 96] - 
       (311*f[7, 97])/8 - (303*f[7, 98])/8 + (2799*f[7, 99])/64 + 
       (4159*f[7, 100])/16 + (1651*f[7, 101])/64 + (639*f[7, 102])/64 + 
       (377*f[7, 103])/32 - (849*f[7, 104])/64 + (633*f[7, 105])/32 - 
       (1853*f[7, 106])/16 + (2321*f[7, 107])/16 - (1719*f[7, 108])/64 - 
       (299*f[7, 109])/64 + (169*f[7, 110])/16 + (3739*f[7, 111])/64 - 
       (4525*f[7, 112])/64 - (133*f[7, 113])/64 - (421*f[7, 114])/32 + 
       (1593*f[7, 115])/64 - (857*f[7, 116])/32 + (5981*f[7, 117])/8 + 
       (155*f[7, 118])/8 - (5917*f[7, 119])/64 - (3057*f[7, 120])/64 + 
       (1557*f[7, 121])/64 - (4905*f[7, 122])/64 - (1889*f[7, 123])/64 + 
       (1755*f[7, 124])/32 + (1943*f[7, 125])/64 - (3259*f[7, 126])/64 - 
       f[7, 133]/2 + f[7, 134] - (33*f[7, 136])/8 - (371*f[7, 137])/8 - 
       (1319*f[7, 138])/32 + f[7, 139]/2 - 3*f[7, 145] - (35*f[7, 146])/4 - 
       (59*f[7, 147])/8 + (1339*f[7, 148])/32 + (3089*f[7, 149])/32 + 
       (83*f[7, 150])/4)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2 + 
     ((-3*f[7, 26])/10 - f[7, 27]/5 + (3*f[7, 28])/20 + f[7, 30]/8 - 
       (4*f[7, 31])/5 + (3*f[7, 32])/10 - (43*f[7, 33])/30 - 
       (3*f[7, 35])/10 - (3*f[7, 36])/20 - f[7, 37]/80 - (41*f[7, 38])/30 - 
       (3*f[7, 39])/20 - (9*f[7, 40])/20 + (3*f[7, 41])/40 + 
       (3*f[7, 42])/40 - f[7, 43]/20 + (3*f[7, 44])/20 + (2*f[7, 45])/5 + 
       (9*f[7, 46])/10 - (3*f[7, 47])/40 + f[7, 48]/20 + (67*f[7, 49])/160 - 
       (25*f[7, 50])/48 - f[7, 51]/160 + (5*f[7, 52])/8 - (29*f[7, 53])/30 - 
       (3*f[7, 54])/16 + (17*f[7, 55])/48 + (1151*f[7, 56])/960 + 
       (553*f[7, 57])/384 - (107*f[7, 58])/240 - (1537*f[7, 59])/2880 + 
       (1781*f[7, 60])/1280 + (1349*f[7, 61])/384 - (467*f[7, 62])/1440 - 
       (467*f[7, 63])/1440 + (467*f[7, 64])/1440 + (19889*f[7, 65])/1920 - 
       (2571*f[7, 66])/320 - (7513*f[7, 67])/1920 - (6719*f[7, 68])/480 - 
       (6733*f[7, 69])/480 + (4481*f[7, 70])/1920 - (925*f[7, 71])/384 + 
       (263*f[7, 72])/20 - (2051*f[7, 73])/160 - (68*f[7, 74])/5 - 
       (5023*f[7, 75])/2880 + (14017*f[7, 76])/768 - (29477*f[7, 77])/3840 + 
       (1085*f[7, 78])/192 - (57649*f[7, 79])/5760 - (32839*f[7, 80])/5760 - 
       (3163*f[7, 81])/192 + (177281*f[7, 82])/2880 + (1863*f[7, 83])/32 + 
       (41251*f[7, 84])/5760 - (247331*f[7, 85])/11520 - 
       (68011*f[7, 86])/1440 - (65357*f[7, 87])/2880 + (7243*f[7, 88])/1152 - 
       (11423*f[7, 89])/2880 - (47399*f[7, 90])/11520 + (11*f[7, 91])/576 - 
       (46373*f[7, 92])/1920 - (294359*f[7, 93])/11520 - 
       (3031*f[7, 94])/1920 - (19197*f[7, 95])/640 + (623*f[7, 96])/640 + 
       (21695*f[7, 97])/1152 + (106171*f[7, 98])/5760 - (949*f[7, 99])/72 - 
       (36197*f[7, 100])/576 - (5323*f[7, 101])/1440 - 
       (79699*f[7, 102])/5760 - (32287*f[7, 103])/5760 - 
       (9769*f[7, 104])/1152 - (72259*f[7, 105])/5760 + 
       (188047*f[7, 106])/2880 - (10129*f[7, 107])/360 + 
       (8443*f[7, 108])/576 + (4951*f[7, 109])/320 - (40717*f[7, 110])/3840 - 
       (58259*f[7, 111])/2880 + (44957*f[7, 112])/1920 - 
       (22199*f[7, 113])/5760 + (57929*f[7, 114])/5760 + 
       (79843*f[7, 115])/11520 + (6077*f[7, 116])/1152 - 
       (765367*f[7, 117])/2880 - (59581*f[7, 118])/11520 + 
       (354833*f[7, 119])/11520 + (9161*f[7, 120])/384 - 
       (9487*f[7, 121])/960 + (23773*f[7, 122])/720 + (3757*f[7, 123])/320 - 
       (10439*f[7, 124])/480 - (35767*f[7, 125])/2880 + 
       (102727*f[7, 126])/5760 + (3*f[7, 132])/20 - (3*f[7, 134])/20 + 
       (7*f[7, 135])/40 + (223*f[7, 136])/240 + (11129*f[7, 137])/960 + 
       (29329*f[7, 138])/3840 + (3*f[7, 144])/10 + f[7, 145]/4 - 
       (283*f[7, 146])/80 - (1081*f[7, 147])/480 - (13841*f[7, 148])/960 - 
       (150347*f[7, 149])/3840 - (104687*f[7, 150])/5760)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     (f[7, 53]/16 + (5*f[7, 62])/64 + (5*f[7, 63])/64 - (5*f[7, 64])/64 - 
       (5*f[7, 75])/64 + (5*f[7, 79])/64 + (5*f[7, 80])/64 + (5*f[7, 81])/8 - 
       f[7, 82]/4 - (5*f[7, 83])/8 - (5*f[7, 84])/64 + (5*f[7, 85])/64 + 
       (5*f[7, 86])/64 + (5*f[7, 87])/64 - (5*f[7, 88])/64 - 
       (5*f[7, 89])/64 + (5*f[7, 90])/64 + (5*f[7, 91])/16 + 
       (5*f[7, 92])/64 + (15*f[7, 93])/64 - (5*f[7, 94])/64 + 
       (5*f[7, 95])/64 + (5*f[7, 96])/32 - (7*f[7, 97])/32 - 
       (15*f[7, 98])/32 - (5*f[7, 100])/8 - (5*f[7, 101])/64 + 
       (5*f[7, 103])/32 + (5*f[7, 104])/64 + (15*f[7, 105])/64 - 
       (5*f[7, 106])/16 - (5*f[7, 107])/16 + (5*f[7, 108])/64 + 
       (5*f[7, 109])/64 + (5*f[7, 110])/32 + (5*f[7, 111])/64 - 
       (15*f[7, 112])/64 + (5*f[7, 113])/32 + (5*f[7, 114])/64 - 
       (5*f[7, 115])/64 - (15*f[7, 116])/64 - (5*f[7, 117])/16 + 
       (5*f[7, 118])/32 + (5*f[7, 119])/32 - (5*f[7, 120])/64 + 
       (5*f[7, 121])/64 - (25*f[7, 122])/64 - (5*f[7, 123])/64 + 
       (5*f[7, 124])/32 + (5*f[7, 125])/64 - (5*f[7, 126])/16 + 
       (5*f[7, 150])/16)*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v] + 
     ((4*f[7, 26])/5 + (6*f[7, 27])/5 - (2*f[7, 28])/5 - f[7, 30]/2 + 
       (4*f[7, 31])/5 - (4*f[7, 32])/5 - (12*f[7, 33])/5 + (4*f[7, 35])/5 + 
       (2*f[7, 36])/5 - f[7, 37]/20 + (16*f[7, 38])/5 + (7*f[7, 39])/5 + 
       (6*f[7, 40])/5 - (7*f[7, 41])/10 - (7*f[7, 42])/10 - (11*f[7, 43])/5 - 
       (22*f[7, 44])/5 + (3*f[7, 45])/5 - (7*f[7, 46])/5 - f[7, 47]/20 + 
       f[7, 48]/5 - (153*f[7, 49])/40 - (21*f[7, 51])/40 - (5*f[7, 52])/2 + 
       (21*f[7, 53])/20 - (3*f[7, 54])/4 - 5*f[7, 55] - (751*f[7, 56])/160 - 
       (91*f[7, 57])/64 + (341*f[7, 58])/20 - (277*f[7, 59])/120 - 
       (2693*f[7, 60])/640 - (583*f[7, 61])/64 - (1073*f[7, 62])/240 - 
       (1073*f[7, 63])/240 + (1073*f[7, 64])/240 - (21779*f[7, 65])/320 + 
       (10743*f[7, 66])/160 + (8503*f[7, 67])/320 + (10459*f[7, 68])/80 + 
       (10463*f[7, 69])/80 - (9271*f[7, 70])/320 + (1867*f[7, 71])/64 - 
       (10727*f[7, 72])/80 + (10333*f[7, 73])/80 + (10443*f[7, 74])/80 + 
       (647*f[7, 75])/120 - (23491*f[7, 76])/128 + (71987*f[7, 77])/640 - 
       (1971*f[7, 78])/32 + (35137*f[7, 79])/480 + (11317*f[7, 80])/480 + 
       (1025*f[7, 81])/16 - (230221*f[7, 82])/480 - (5329*f[7, 83])/16 - 
       (14549*f[7, 84])/240 + (339061*f[7, 85])/1920 + 
       (208867*f[7, 86])/480 + (97927*f[7, 87])/480 - (1387*f[7, 88])/24 + 
       (16243*f[7, 89])/480 + (50659*f[7, 90])/1920 - (6685*f[7, 91])/96 + 
       (65683*f[7, 92])/320 + (322879*f[7, 93])/1920 + (59*f[7, 94])/5 + 
       (23039*f[7, 95])/80 - (11869*f[7, 96])/320 - (26581*f[7, 97])/192 - 
       (131561*f[7, 98])/960 + (11407*f[7, 99])/96 + (80545*f[7, 100])/96 + 
       (78317*f[7, 101])/960 + (56347*f[7, 102])/480 + 
       (15331*f[7, 103])/480 + (11243*f[7, 104])/192 + 
       (16151*f[7, 105])/240 - (64463*f[7, 106])/120 + 
       (54493*f[7, 107])/120 - (13217*f[7, 108])/96 - (4057*f[7, 109])/40 + 
       (36657*f[7, 110])/640 + (72259*f[7, 111])/480 - 
       (33791*f[7, 112])/160 - (11173*f[7, 113])/480 - 
       (18991*f[7, 114])/240 - (82253*f[7, 115])/1920 - (2809*f[7, 116])/48 + 
       (1326017*f[7, 117])/480 + (69851*f[7, 118])/1920 - 
       (677053*f[7, 119])/1920 - (1635*f[7, 120])/8 + (9391*f[7, 121])/80 - 
       (159917*f[7, 122])/480 - (18321*f[7, 123])/160 + 
       (37063*f[7, 124])/160 + (10429*f[7, 125])/60 - (87721*f[7, 126])/480 - 
       (4*f[7, 132])/5 + (4*f[7, 134])/5 - (11*f[7, 135])/10 + 
       (261*f[7, 136])/10 - (9337*f[7, 137])/40 - (32637*f[7, 138])/160 - 
       24*f[7, 146] - (49*f[7, 147])/4 + (219*f[7, 148])/16 + 
       (1007*f[7, 149])/16 - (439*f[7, 150])/24)*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v] + (-f[7, 18]/2 - f[7, 52]/4 - f[7, 55]/4 + 
       f[7, 56]/8 + (11*f[7, 57])/32 + (31*f[7, 58])/8 - (5*f[7, 59])/24 + 
       (9*f[7, 60])/64 + (15*f[7, 61])/32 - (623*f[7, 62])/384 - 
       (623*f[7, 63])/384 + (623*f[7, 64])/384 - (95*f[7, 65])/32 + 
       (7*f[7, 66])/2 - (3*f[7, 67])/16 + 7*f[7, 68] + 7*f[7, 69] - 
       (13*f[7, 70])/8 + (13*f[7, 71])/8 - (29*f[7, 72])/4 + 
       (59*f[7, 73])/8 + 7*f[7, 74] - (313*f[7, 75])/192 - 
       (579*f[7, 76])/64 + (471*f[7, 77])/64 - (7*f[7, 78])/2 + 
       (199*f[7, 79])/48 - (77*f[7, 80])/192 + (155*f[7, 81])/16 - 
       (985*f[7, 82])/48 - (45*f[7, 83])/4 - (311*f[7, 84])/96 + 
       (343*f[7, 85])/48 + (3847*f[7, 86])/192 + (1675*f[7, 87])/192 - 
       (319*f[7, 88])/96 + (1139*f[7, 89])/384 + (217*f[7, 90])/192 - 
       (2317*f[7, 91])/96 + (175*f[7, 92])/16 + (125*f[7, 93])/24 - 
       (93*f[7, 94])/16 + (481*f[7, 95])/32 - (337*f[7, 96])/64 - 
       (631*f[7, 97])/192 - (631*f[7, 98])/192 + (2065*f[7, 99])/384 + 
       (737*f[7, 100])/12 + (2687*f[7, 101])/384 + (4985*f[7, 102])/384 - 
       (227*f[7, 103])/192 + (3643*f[7, 104])/384 - (17*f[7, 105])/192 - 
       (3043*f[7, 106])/96 + (3323*f[7, 107])/96 - (4085*f[7, 108])/384 - 
       (1027*f[7, 109])/128 + (183*f[7, 110])/128 + (1601*f[7, 111])/384 - 
       (1173*f[7, 112])/128 - (2531*f[7, 113])/384 - (1121*f[7, 114])/192 - 
       (613*f[7, 115])/96 - (199*f[7, 116])/192 + (17185*f[7, 117])/96 - 
       (935*f[7, 118])/384 - (4819*f[7, 119])/192 - (1405*f[7, 120])/128 + 
       (1185*f[7, 121])/128 - (8491*f[7, 122])/384 - (881*f[7, 123])/128 + 
       (1025*f[7, 124])/64 + (6325*f[7, 125])/384 - (3929*f[7, 126])/384 + 
       f[7, 132]/20 - f[7, 134]/20 + (9*f[7, 135])/40 - (229*f[7, 136])/40 + 
       (1137*f[7, 137])/40 + (8879*f[7, 138])/320 - f[7, 144]/10 + 
       (783*f[7, 146])/40 + (1069*f[7, 147])/160 + (8187*f[7, 148])/160 + 
       (35817*f[7, 149])/320 + (41687*f[7, 150])/480)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2 + 
     (-f[7, 52]/2 - (39*f[7, 56])/32 + (17*f[7, 57])/64 + (13*f[7, 58])/2 + 
       (13*f[7, 59])/16 - (61*f[7, 60])/128 - (139*f[7, 61])/64 - 
       (233*f[7, 62])/64 - (233*f[7, 63])/64 + (233*f[7, 64])/64 - 
       (459*f[7, 65])/64 + (199*f[7, 66])/32 - (9*f[7, 67])/64 + 
       (199*f[7, 68])/16 + (199*f[7, 69])/16 - (207*f[7, 70])/64 + 
       (207*f[7, 71])/64 - (199*f[7, 72])/16 + (207*f[7, 73])/16 + 
       (199*f[7, 74])/16 - (7*f[7, 75])/8 - (2163*f[7, 76])/128 + 
       (1515*f[7, 77])/128 - (199*f[7, 78])/32 + (101*f[7, 79])/16 - 
       (17*f[7, 80])/16 + (135*f[7, 81])/8 - (1171*f[7, 82])/32 - 
       (363*f[7, 83])/16 - (169*f[7, 84])/32 + (1655*f[7, 85])/128 + 
       (1169*f[7, 86])/32 + (509*f[7, 87])/32 - (143*f[7, 88])/32 + 
       (359*f[7, 89])/64 + (149*f[7, 90])/128 - (1133*f[7, 91])/32 + 
       (1117*f[7, 92])/64 + (1277*f[7, 93])/128 - (379*f[7, 94])/32 + 
       (833*f[7, 95])/32 - (591*f[7, 96])/64 - (469*f[7, 97])/64 - 
       (469*f[7, 98])/64 + (675*f[7, 99])/64 + (3303*f[7, 100])/32 + 
       (359*f[7, 101])/32 + (1471*f[7, 102])/64 - (45*f[7, 103])/32 + 
       (239*f[7, 104])/16 - (215*f[7, 106])/4 + (883*f[7, 107])/16 - 
       (1145*f[7, 108])/64 - (899*f[7, 109])/64 + (551*f[7, 110])/128 + 
       (565*f[7, 111])/64 - (927*f[7, 112])/64 - (773*f[7, 113])/64 - 
       (181*f[7, 114])/16 - (1319*f[7, 115])/128 + f[7, 116]/8 + 
       (9757*f[7, 117])/32 - (509*f[7, 118])/128 - (5499*f[7, 119])/128 - 
       (1239*f[7, 120])/64 + (893*f[7, 121])/64 - (2127*f[7, 122])/64 - 
       (611*f[7, 123])/64 + (185*f[7, 124])/8 + (1535*f[7, 125])/64 - 
       (947*f[7, 126])/64 + (49*f[7, 136])/8 - (125*f[7, 137])/4 - 
       (481*f[7, 138])/16 + f[7, 146] + (13*f[7, 147])/8 - 6*f[7, 148] - 
       (589*f[7, 149])/32 - (63*f[7, 150])/8)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]^2 + (-f[7, 24] - f[7, 25] - (4*f[7, 26])/5 + 
       (4*f[7, 27])/5 + (2*f[7, 28])/5 - f[7, 29] - (4*f[7, 31])/5 + 
       (9*f[7, 32])/5 + (12*f[7, 33])/5 - f[7, 34]/2 - (4*f[7, 35])/5 - 
       (9*f[7, 36])/10 + f[7, 37]/20 - (16*f[7, 38])/5 + (8*f[7, 39])/5 - 
       (6*f[7, 40])/5 + (9*f[7, 41])/20 + (9*f[7, 42])/20 + (6*f[7, 43])/5 + 
       (22*f[7, 44])/5 - (3*f[7, 45])/5 - (3*f[7, 46])/5 + (13*f[7, 47])/10 + 
       (57*f[7, 48])/40 + (83*f[7, 49])/40 - 2*f[7, 50] - (59*f[7, 51])/40 - 
       (9*f[7, 52])/2 - (51*f[7, 53])/20 - 3*f[7, 54] + (3*f[7, 55])/2 + 
       (651*f[7, 56])/160 - (529*f[7, 57])/64 - (411*f[7, 58])/20 + 
       (2189*f[7, 59])/240 + (2913*f[7, 60])/640 + (459*f[7, 61])/64 + 
       (301*f[7, 62])/30 + (301*f[7, 63])/30 - (301*f[7, 64])/30 + 
       (9479*f[7, 65])/320 - (4243*f[7, 66])/160 - (1043*f[7, 67])/320 - 
       (3659*f[7, 68])/80 - (3643*f[7, 69])/80 + (3411*f[7, 70])/320 - 
       (663*f[7, 71])/64 + (3647*f[7, 72])/80 - (3313*f[7, 73])/80 - 
       (3603*f[7, 74])/80 + (7859*f[7, 75])/960 + (6959*f[7, 76])/128 - 
       (23567*f[7, 77])/640 + (643*f[7, 78])/32 - (24569*f[7, 79])/960 + 
       (2191*f[7, 80])/960 - (1547*f[7, 81])/16 + (74191*f[7, 82])/480 + 
       (2307*f[7, 83])/16 + (23891*f[7, 84])/960 - (100591*f[7, 85])/1920 - 
       (120029*f[7, 86])/960 - (52409*f[7, 87])/960 + (3491*f[7, 88])/192 - 
       (7753*f[7, 89])/480 - (23749*f[7, 90])/1920 + (7273*f[7, 91])/96 - 
       (2451*f[7, 92])/40 - (115069*f[7, 93])/1920 + (10199*f[7, 94])/320 - 
       (31001*f[7, 95])/320 + (7649*f[7, 96])/320 + (8593*f[7, 97])/192 + 
       (43541*f[7, 98])/960 - (7037*f[7, 99])/192 - (28585*f[7, 100])/96 - 
       (28787*f[7, 101])/960 - (77219*f[7, 102])/960 - (1253*f[7, 103])/240 - 
       (10727*f[7, 104])/192 - (11459*f[7, 105])/960 + 
       (49591*f[7, 106])/240 - (19663*f[7, 107])/120 + (589*f[7, 108])/12 + 
       (6313*f[7, 109])/160 - (8947*f[7, 110])/640 - (19699*f[7, 111])/480 + 
       (5263*f[7, 112])/80 + (34601*f[7, 113])/960 + (28519*f[7, 114])/960 + 
       (72143*f[7, 115])/1920 + (2215*f[7, 116])/192 - 
       (485357*f[7, 117])/480 + (4159*f[7, 118])/1920 + 
       (254473*f[7, 119])/1920 + (1099*f[7, 120])/16 - (8617*f[7, 121])/160 + 
       (32581*f[7, 122])/240 + (2793*f[7, 123])/80 - (14163*f[7, 124])/160 - 
       (19771*f[7, 125])/240 + (63887*f[7, 126])/960 + (4*f[7, 132])/5 + 
       (3*f[7, 133])/4 - (4*f[7, 134])/5 + (19*f[7, 135])/40 - 
       (449*f[7, 136])/40 + (7887*f[7, 137])/40 + (13651*f[7, 138])/80 - 
       2*f[7, 140] - 2*f[7, 144] - (3*f[7, 145])/2 - 18*f[7, 146] - 
       (229*f[7, 147])/16 + (801*f[7, 148])/8 + (2405*f[7, 149])/8 + 
       (7427*f[7, 150])/96)*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + 
     (-f[7, 18]/3 + (4*f[7, 26])/15 - (4*f[7, 27])/15 - (2*f[7, 28])/15 + 
       f[7, 29]/3 + (4*f[7, 31])/15 - (4*f[7, 32])/15 - (4*f[7, 33])/5 + 
       (4*f[7, 35])/15 + (2*f[7, 36])/15 - f[7, 37]/60 + (16*f[7, 38])/15 + 
       (2*f[7, 39])/15 + (2*f[7, 40])/5 - f[7, 41]/15 - f[7, 42]/15 - 
       (2*f[7, 43])/5 - (4*f[7, 44])/5 + f[7, 45]/5 + f[7, 46]/5 - 
       f[7, 47]/10 + f[7, 48]/15 - (83*f[7, 49])/120 + f[7, 50]/2 + 
       (13*f[7, 51])/40 + f[7, 52]/3 + (17*f[7, 53])/20 + (5*f[7, 54])/12 - 
       (5*f[7, 55])/6 - (117*f[7, 56])/160 + (47*f[7, 57])/64 + 
       (671*f[7, 58])/60 - (23*f[7, 59])/15 - (591*f[7, 60])/640 - 
       (85*f[7, 61])/64 - (2227*f[7, 62])/480 - (2227*f[7, 63])/480 + 
       (2227*f[7, 64])/480 - (14779*f[7, 65])/960 + (7703*f[7, 66])/480 + 
       (781*f[7, 67])/320 + (7079*f[7, 68])/240 + (7103*f[7, 69])/240 - 
       (6311*f[7, 70])/960 + (425*f[7, 71])/64 - (7067*f[7, 72])/240 + 
       (6853*f[7, 73])/240 + (7043*f[7, 74])/240 - (2429*f[7, 75])/480 - 
       (14923*f[7, 76])/384 + (53227*f[7, 77])/1920 - (1331*f[7, 78])/96 + 
       (1033*f[7, 79])/60 + (247*f[7, 80])/240 + (1933*f[7, 81])/48 - 
       (47747*f[7, 82])/480 - (3569*f[7, 83])/48 - (2377*f[7, 84])/160 + 
       (66547*f[7, 85])/1920 + (21337*f[7, 86])/240 + (9547*f[7, 87])/240 - 
       (1349*f[7, 88])/96 + (801*f[7, 89])/80 + (12253*f[7, 90])/1920 - 
       (5707*f[7, 91])/96 + (42713*f[7, 92])/960 + (66953*f[7, 93])/1920 - 
       (2499*f[7, 94])/160 + (31163*f[7, 95])/480 - (15529*f[7, 96])/960 - 
       (4507*f[7, 97])/192 - (22727*f[7, 98])/960 + (2375*f[7, 99])/96 + 
       (20803*f[7, 100])/96 + (22189*f[7, 101])/960 + (21779*f[7, 102])/480 + 
       (997*f[7, 103])/480 + (6071*f[7, 104])/192 + (3229*f[7, 105])/480 - 
       (15901*f[7, 106])/120 + (3689*f[7, 107])/30 - (461*f[7, 108])/12 - 
       (13913*f[7, 109])/480 + (5659*f[7, 110])/640 + (3007*f[7, 111])/120 - 
       (1773*f[7, 112])/40 - (9431*f[7, 113])/480 - (10289*f[7, 114])/480 - 
       (43091*f[7, 115])/1920 - (287*f[7, 116])/32 + (334679*f[7, 117])/480 - 
       (1181*f[7, 118])/640 - (177911*f[7, 119])/1920 - (4513*f[7, 120])/96 + 
       (5759*f[7, 121])/160 - (7279*f[7, 122])/80 - (3289*f[7, 123])/120 + 
       (30473*f[7, 124])/480 + (28499*f[7, 125])/480 - 
       (21697*f[7, 126])/480 - (4*f[7, 132])/15 + (4*f[7, 134])/15 - 
       (7*f[7, 135])/10 + (347*f[7, 136])/60 - (4121*f[7, 137])/60 - 
       (7223*f[7, 138])/120 + 11*f[7, 146] + (73*f[7, 147])/12 - 
       (241*f[7, 148])/48 - (3079*f[7, 149])/96 + (1675*f[7, 150])/144)*
      HPL[{0, 1}, 1 - v]^3 + (f[7, 34]/2 - f[7, 35]/2 - 2*f[7, 38] - 
       f[7, 40]/2 + f[7, 45] + 2*f[7, 46] + f[7, 47]/8 - f[7, 50] + 
       2*f[7, 52] - (3*f[7, 53])/2 + f[7, 55]/4 + (77*f[7, 56])/32 + 
       (85*f[7, 57])/64 - (37*f[7, 58])/4 - (107*f[7, 59])/48 + 
       (239*f[7, 60])/128 + (393*f[7, 61])/64 + (493*f[7, 62])/192 + 
       (493*f[7, 63])/192 - (493*f[7, 64])/192 + (209*f[7, 65])/64 + 
       (47*f[7, 66])/32 + (359*f[7, 67])/64 + (97*f[7, 68])/16 + 
       (103*f[7, 69])/16 - (239*f[7, 70])/64 + (239*f[7, 71])/64 - 
       (141*f[7, 72])/16 + (123*f[7, 73])/16 + (117*f[7, 74])/16 + 
       (335*f[7, 75])/96 - (1715*f[7, 76])/128 + (1847*f[7, 77])/128 - 
       (159*f[7, 78])/32 - (587*f[7, 79])/96 - (437*f[7, 80])/96 - 
       (611*f[7, 81])/8 - (685*f[7, 82])/96 + (625*f[7, 83])/16 - 
       (11*f[7, 84])/48 + (3685*f[7, 85])/384 + (1451*f[7, 86])/48 + 
       (683*f[7, 87])/48 - (59*f[7, 88])/24 - (595*f[7, 89])/192 - 
       (1817*f[7, 90])/384 + (4021*f[7, 91])/96 + (21*f[7, 92])/64 - 
       (593*f[7, 93])/384 + (853*f[7, 94])/32 + (39*f[7, 95])/2 - 
       (35*f[7, 96])/64 - (671*f[7, 97])/192 - (959*f[7, 98])/192 + 
       (1687*f[7, 99])/192 + (7037*f[7, 100])/96 + (73*f[7, 101])/6 - 
       (4885*f[7, 102])/192 + (35*f[7, 103])/12 - (3037*f[7, 104])/96 - 
       (353*f[7, 105])/96 + (469*f[7, 106])/24 + (2453*f[7, 107])/48 + 
       (1633*f[7, 108])/192 + (1617*f[7, 109])/64 - (1017*f[7, 110])/128 + 
       (2219*f[7, 111])/192 - (1087*f[7, 112])/64 - (617*f[7, 113])/192 + 
       (1057*f[7, 114])/96 + (10291*f[7, 115])/384 - (1273*f[7, 116])/96 + 
       (9995*f[7, 117])/96 + (4325*f[7, 118])/384 - (6433*f[7, 119])/384 + 
       (13*f[7, 120])/64 + (181*f[7, 121])/64 - (1405*f[7, 122])/192 - 
       (419*f[7, 123])/64 + 9*f[7, 124] + (349*f[7, 125])/192 - 
       (2363*f[7, 126])/192 - (7*f[7, 136])/2 - (81*f[7, 137])/8 - 
       (113*f[7, 138])/8 - (51*f[7, 146])/4 - (41*f[7, 147])/4 + 
       (31*f[7, 148])/8 + 17*f[7, 149] - (845*f[7, 150])/96)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (-f[7, 56]/16 + (7*f[7, 57])/32 - f[7, 58] + f[7, 59]/24 - 
       (3*f[7, 60])/64 - (5*f[7, 61])/32 + (23*f[7, 62])/48 + 
       (23*f[7, 63])/48 - (23*f[7, 64])/48 - (5*f[7, 65])/32 + f[7, 66]/16 + 
       (17*f[7, 67])/32 + f[7, 68]/8 + f[7, 69]/8 - f[7, 70]/32 + 
       f[7, 71]/32 - f[7, 72]/8 + f[7, 73]/8 + f[7, 74]/8 + 
       (73*f[7, 75])/96 - (45*f[7, 76])/64 + (21*f[7, 77])/64 - f[7, 78]/16 - 
       (7*f[7, 79])/96 + (41*f[7, 80])/96 - (33*f[7, 81])/8 - 
       (61*f[7, 82])/48 - f[7, 83]/8 + f[7, 84]/96 + (145*f[7, 85])/192 + 
       (173*f[7, 86])/96 + (101*f[7, 87])/96 + (5*f[7, 88])/96 - 
       (5*f[7, 89])/12 - (5*f[7, 90])/192 + (325*f[7, 91])/48 + f[7, 92]/4 + 
       (139*f[7, 93])/192 + (89*f[7, 94])/32 + (17*f[7, 95])/32 + 
       (29*f[7, 96])/32 - (71*f[7, 97])/96 - (71*f[7, 98])/96 + 
       (43*f[7, 99])/96 - (61*f[7, 100])/48 - (7*f[7, 101])/96 - 
       (253*f[7, 102])/96 + (37*f[7, 103])/48 - (245*f[7, 104])/96 + 
       (107*f[7, 105])/96 + (29*f[7, 106])/24 - f[7, 107]/6 + 
       (47*f[7, 108])/48 + (9*f[7, 109])/8 + (9*f[7, 110])/64 + 
       (4*f[7, 111])/3 - (15*f[7, 112])/16 + (151*f[7, 113])/96 + 
       (53*f[7, 114])/96 + (343*f[7, 115])/192 - (83*f[7, 116])/96 - 
       (157*f[7, 117])/48 + (299*f[7, 118])/192 + (161*f[7, 119])/192 - 
       (3*f[7, 120])/16 - (7*f[7, 121])/8 + (61*f[7, 122])/48 + 
       f[7, 123]/16 - (15*f[7, 124])/16 - (103*f[7, 125])/48 - 
       (5*f[7, 126])/96 + f[7, 135]/8 - (27*f[7, 136])/8 - (3*f[7, 137])/16 - 
       (37*f[7, 138])/64 + f[7, 145] + 5*f[7, 146] + (43*f[7, 147])/16 + 
       (29*f[7, 148])/32 + (157*f[7, 149])/64 + (115*f[7, 150])/12)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u] + 
     (-f[7, 23] - 2*f[7, 34] + f[7, 35] + 4*f[7, 38] + f[7, 40] + f[7, 41] + 
       f[7, 42] - 2*f[7, 46] - f[7, 47]/4 - f[7, 49]/2 + f[7, 51]/2 - 
       5*f[7, 52] + 2*f[7, 53] - f[7, 54]/2 - (7*f[7, 55])/2 - 
       (55*f[7, 56])/16 - (211*f[7, 57])/32 + 4*f[7, 58] + 
       (131*f[7, 59])/24 - (265*f[7, 60])/64 - (415*f[7, 61])/32 + 
       (83*f[7, 62])/24 + (83*f[7, 63])/24 - (83*f[7, 64])/24 + 
       (97*f[7, 65])/32 - (221*f[7, 66])/16 - (253*f[7, 67])/32 - 
       (255*f[7, 68])/8 - (261*f[7, 69])/8 + (381*f[7, 70])/32 - 
       (381*f[7, 71])/32 + (275*f[7, 72])/8 - (269*f[7, 73])/8 - 
       (267*f[7, 74])/8 + f[7, 75]/48 + (3181*f[7, 76])/64 - 
       (3545*f[7, 77])/64 + (317*f[7, 78])/16 - f[7, 79]/3 + 
       (509*f[7, 80])/48 + (233*f[7, 81])/2 + (3511*f[7, 82])/48 - 
       (231*f[7, 83])/8 + (511*f[7, 84])/48 - (7339*f[7, 85])/192 - 
       (2687*f[7, 86])/24 - (1163*f[7, 87])/24 + (689*f[7, 88])/48 - 
       (217*f[7, 89])/48 + (587*f[7, 90])/192 + (251*f[7, 91])/48 - 
       (961*f[7, 92])/32 - (2737*f[7, 93])/192 - (195*f[7, 94])/8 - 
       (1345*f[7, 95])/16 + (803*f[7, 96])/32 + (1211*f[7, 97])/96 + 
       (1307*f[7, 98])/96 - (799*f[7, 99])/24 - (17039*f[7, 100])/48 - 
       (4871*f[7, 101])/96 + (2*f[7, 102])/3 - f[7, 103]/48 + 
       (2315*f[7, 104])/96 + (713*f[7, 105])/48 + (1387*f[7, 106])/24 - 
       (2821*f[7, 107])/12 + (931*f[7, 108])/48 - (43*f[7, 109])/2 + 
       (913*f[7, 110])/64 - (1519*f[7, 111])/48 + (927*f[7, 112])/16 + 
       (743*f[7, 113])/24 - (79*f[7, 114])/48 - (4981*f[7, 115])/192 + 
       (1153*f[7, 116])/48 - (39035*f[7, 117])/48 - (1661*f[7, 118])/192 + 
       (22975*f[7, 119])/192 + (505*f[7, 120])/16 - (147*f[7, 121])/4 + 
       (3965*f[7, 122])/48 + (525*f[7, 123])/16 - (1125*f[7, 124])/16 - 
       (1435*f[7, 125])/24 + (607*f[7, 126])/12 - f[7, 133]/2 + f[7, 135]/2 + 
       (9*f[7, 136])/4 + (269*f[7, 137])/8 + (1419*f[7, 138])/32 + 
       f[7, 145] + 7*f[7, 146] + (47*f[7, 147])/4 - (167*f[7, 148])/4 - 
       (2997*f[7, 149])/32 - (2359*f[7, 150])/48)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     ((2*f[7, 53])/3 + (3*f[7, 62])/8 + (3*f[7, 63])/8 - (3*f[7, 64])/8 - 
       (3*f[7, 75])/8 + (3*f[7, 79])/8 + (3*f[7, 80])/8 + 3*f[7, 81] - 
       (5*f[7, 82])/4 - 3*f[7, 83] - (3*f[7, 84])/8 + (3*f[7, 85])/8 + 
       (3*f[7, 86])/8 + (3*f[7, 87])/8 - (3*f[7, 88])/8 - (3*f[7, 89])/8 + 
       (3*f[7, 90])/8 + (3*f[7, 91])/2 + (3*f[7, 92])/8 + (9*f[7, 93])/8 - 
       (3*f[7, 94])/8 + (3*f[7, 95])/8 + (3*f[7, 96])/4 - (5*f[7, 97])/4 - 
       (9*f[7, 98])/4 - 3*f[7, 100] - (3*f[7, 101])/8 + (3*f[7, 103])/4 + 
       (3*f[7, 104])/8 + (9*f[7, 105])/8 - (3*f[7, 106])/2 - 
       (3*f[7, 107])/2 + (3*f[7, 108])/8 + (3*f[7, 109])/8 + 
       (3*f[7, 110])/4 + (3*f[7, 111])/8 - (9*f[7, 112])/8 + 
       (3*f[7, 113])/4 + (3*f[7, 114])/8 - (3*f[7, 115])/8 - 
       (9*f[7, 116])/8 - (3*f[7, 117])/2 + (3*f[7, 118])/4 + 
       (3*f[7, 119])/4 - (3*f[7, 120])/8 + (3*f[7, 121])/8 - 
       (15*f[7, 122])/8 - (3*f[7, 123])/8 + (3*f[7, 124])/4 + 
       (3*f[7, 125])/8 - (3*f[7, 126])/2 + (3*f[7, 150])/2)*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - v] + (-2*f[7, 52] - (13*f[7, 56])/8 - 
       (5*f[7, 57])/16 - 10*f[7, 58] + (13*f[7, 59])/12 - (31*f[7, 60])/32 - 
       (57*f[7, 61])/16 + (247*f[7, 62])/48 + (247*f[7, 63])/48 - 
       (247*f[7, 64])/48 + (7*f[7, 65])/16 - (19*f[7, 66])/8 + 
       (61*f[7, 67])/16 - (19*f[7, 68])/4 - (19*f[7, 69])/4 + 
       (11*f[7, 70])/16 - (11*f[7, 71])/16 + (19*f[7, 72])/4 - 
       (15*f[7, 73])/4 - (19*f[7, 74])/4 + (28*f[7, 75])/3 + 
       (143*f[7, 76])/32 - (391*f[7, 77])/32 + (19*f[7, 78])/8 - 
       (17*f[7, 79])/6 + (17*f[7, 80])/3 - (47*f[7, 81])/2 - 
       (19*f[7, 82])/24 - (53*f[7, 83])/4 + (77*f[7, 84])/24 + 
       (151*f[7, 85])/96 - (107*f[7, 86])/24 + (13*f[7, 87])/24 + 
       (103*f[7, 88])/24 - (193*f[7, 89])/48 + (13*f[7, 90])/96 + 
       (1651*f[7, 91])/24 - (113*f[7, 92])/16 + (445*f[7, 93])/96 + 
       (149*f[7, 94])/8 - (95*f[7, 95])/8 + (219*f[7, 96])/16 - 
       (437*f[7, 97])/48 - (437*f[7, 98])/48 - (53*f[7, 99])/48 - 
       (2089*f[7, 100])/24 - (329*f[7, 101])/24 - (1177*f[7, 102])/48 + 
       (139*f[7, 103])/24 - (263*f[7, 104])/12 + (149*f[7, 105])/12 + 
       (89*f[7, 106])/3 - (781*f[7, 107])/12 + (775*f[7, 108])/48 + 
       (151*f[7, 109])/16 + (301*f[7, 110])/32 + (413*f[7, 111])/48 + 
       (63*f[7, 112])/16 + (1063*f[7, 113])/48 + (20*f[7, 114])/3 + 
       (1633*f[7, 115])/96 - (23*f[7, 116])/12 - (5635*f[7, 117])/24 + 
       (1115*f[7, 118])/96 + (3509*f[7, 119])/96 + (123*f[7, 120])/16 - 
       (297*f[7, 121])/16 + (1721*f[7, 122])/48 + (127*f[7, 123])/16 - 
       27*f[7, 124] - (1817*f[7, 125])/48 + (649*f[7, 126])/48 + 
       f[7, 135]/2 + (15*f[7, 136])/2 - (73*f[7, 137])/4 - 
       (311*f[7, 138])/16 - 33*f[7, 146] - (59*f[7, 147])/4 - 
       (381*f[7, 148])/8 - (1159*f[7, 149])/16 - (843*f[7, 150])/8)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (-2*f[7, 15] - f[7, 29]/2 + 2*f[7, 34] - (5*f[7, 47])/2 + f[7, 48] - 
       f[7, 49]/2 + 10*f[7, 50] - f[7, 51]/2 - f[7, 52] + 9*f[7, 53] - 
       f[7, 54] + 19*f[7, 55] - (7*f[7, 56])/8 + (3*f[7, 57])/16 + 
       (47*f[7, 58])/2 - (31*f[7, 59])/6 - (23*f[7, 60])/32 - 
       (41*f[7, 61])/16 - (355*f[7, 62])/96 - (355*f[7, 63])/96 + 
       (355*f[7, 64])/96 + (1155*f[7, 65])/16 - (705*f[7, 66])/8 - 
       (985*f[7, 67])/16 - (841*f[7, 68])/4 - (821*f[7, 69])/4 + 
       (829*f[7, 70])/16 - (829*f[7, 71])/16 + (881*f[7, 72])/4 - 
       (815*f[7, 73])/4 - (841*f[7, 74])/4 - (1063*f[7, 75])/24 + 
       (10063*f[7, 76])/32 - (6451*f[7, 77])/32 + (801*f[7, 78])/8 - 
       (3535*f[7, 79])/48 - (301*f[7, 80])/12 + (1249*f[7, 81])/4 + 
       (17879*f[7, 82])/24 + (1501*f[7, 83])/4 + (3787*f[7, 84])/48 - 
       (28613*f[7, 85])/96 - (18203*f[7, 86])/24 - (8603*f[7, 87])/24 + 
       (3959*f[7, 88])/48 - (2909*f[7, 89])/96 - (137*f[7, 90])/96 + 
       (149*f[7, 91])/12 - (2343*f[7, 92])/8 - (25091*f[7, 93])/96 - 
       (1673*f[7, 94])/16 - (7641*f[7, 95])/16 + (241*f[7, 96])/8 + 
       (580*f[7, 97])/3 + (580*f[7, 98])/3 - (20485*f[7, 99])/96 - 
       (33895*f[7, 100])/24 - (14243*f[7, 101])/96 - (7817*f[7, 102])/96 - 
       (2569*f[7, 103])/48 + (2921*f[7, 104])/96 - (2243*f[7, 105])/24 + 
       (15445*f[7, 106])/24 - (19061*f[7, 107])/24 + (15095*f[7, 108])/96 + 
       (1405*f[7, 109])/32 - (809*f[7, 110])/16 - (26279*f[7, 111])/96 + 
       (11427*f[7, 112])/32 + (2531*f[7, 113])/96 + (236*f[7, 114])/3 - 
       (7751*f[7, 115])/96 + (3125*f[7, 116])/24 - (49079*f[7, 117])/12 - 
       (4097*f[7, 118])/48 + (49637*f[7, 119])/96 + (8475*f[7, 120])/32 - 
       (4663*f[7, 121])/32 + (41497*f[7, 122])/96 + (5283*f[7, 123])/32 - 
       (4997*f[7, 124])/16 - (18655*f[7, 125])/96 + (26453*f[7, 126])/96 + 
       5*f[7, 133] + 2*f[7, 134] + 2*f[7, 135] + (69*f[7, 136])/4 + 
       (689*f[7, 137])/2 + (5163*f[7, 138])/16 + f[7, 139] + 8*f[7, 145] + 
       15*f[7, 146] + (41*f[7, 147])/2 - (1047*f[7, 148])/16 - 
       (1719*f[7, 149])/8 - (1691*f[7, 150])/48)*HPL[{0, 0, 1}, 1 - v]^2 + 
     (-f[7, 28]/2 - f[7, 32] + f[7, 36]/2 - f[7, 37]/4 + 2*f[7, 38] + 
       f[7, 39]/2 + f[7, 40]/2 - f[7, 41]/2 - f[7, 42]/2 - (3*f[7, 43])/2 - 
       3*f[7, 44] - f[7, 45]/2 - (3*f[7, 46])/2 - f[7, 47]/4 + 
       (3*f[7, 48])/8 - (11*f[7, 49])/8 + (9*f[7, 50])/4 - (5*f[7, 51])/8 + 
       (3*f[7, 53])/4 - f[7, 54] + f[7, 55] - (37*f[7, 56])/8 + 
       (27*f[7, 57])/4 + 37*f[7, 58] - 6*f[7, 59] - (25*f[7, 60])/16 - 
       3*f[7, 61] - 18*f[7, 62] - 18*f[7, 63] + 18*f[7, 64] - 54*f[7, 65] + 
       (459*f[7, 66])/8 + (149*f[7, 67])/16 + (903*f[7, 68])/8 + 
       (451*f[7, 69])/4 - (437*f[7, 70])/16 + (439*f[7, 71])/16 - 
       (899*f[7, 72])/8 + (899*f[7, 73])/8 + (223*f[7, 74])/2 - 
       (661*f[7, 75])/64 - (2447*f[7, 76])/16 + (223*f[7, 77])/2 - 
       (215*f[7, 78])/4 + (3695*f[7, 79])/64 + (121*f[7, 80])/64 + 
       (1417*f[7, 81])/16 - (5935*f[7, 82])/16 - (1909*f[7, 83])/8 - 
       (3419*f[7, 84])/64 + (8585*f[7, 85])/64 + (22373*f[7, 86])/64 + 
       (10017*f[7, 87])/64 - (3187*f[7, 88])/64 + (151*f[7, 89])/4 + 
       (1371*f[7, 90])/64 - 197*f[7, 91] + (10551*f[7, 92])/64 + 
       (7719*f[7, 93])/64 - (2855*f[7, 94])/64 + (15999*f[7, 95])/64 - 
       (1039*f[7, 96])/16 - (177*f[7, 97])/2 - (175*f[7, 98])/2 + 
       (6413*f[7, 99])/64 + (7031*f[7, 100])/8 + (3061*f[7, 101])/32 + 
       (9803*f[7, 102])/64 + (135*f[7, 103])/32 + 94*f[7, 104] + 
       (1267*f[7, 105])/64 - (3795*f[7, 106])/8 + 503*f[7, 107] - 
       (4519*f[7, 108])/32 - (3187*f[7, 109])/32 + (2079*f[7, 110])/64 + 
       (1595*f[7, 111])/16 - (2673*f[7, 112])/16 - (4667*f[7, 113])/64 - 
       (5023*f[7, 114])/64 - (4235*f[7, 115])/64 - (2059*f[7, 116])/64 + 
       (5347*f[7, 117])/2 - (403*f[7, 118])/64 - (5777*f[7, 119])/16 - 
       (5539*f[7, 120])/32 + (4163*f[7, 121])/32 - (10377*f[7, 122])/32 - 
       (3257*f[7, 123])/32 + (929*f[7, 124])/4 + (3407*f[7, 125])/16 - 
       (10293*f[7, 126])/64 - f[7, 132]/2 + f[7, 134]/2 - f[7, 135]/4 + 
       (37*f[7, 136])/2 - (1499*f[7, 137])/16 - (6027*f[7, 138])/64 - 
       f[7, 144] + f[7, 145]/2 + (73*f[7, 146])/2 + (63*f[7, 147])/8 + 
       (2419*f[7, 148])/16 + (21709*f[7, 149])/64 + (7345*f[7, 150])/32)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     (-f[7, 52]/4 - f[7, 56]/4 + f[7, 57]/12 - f[7, 58] + f[7, 59]/6 - 
       f[7, 60]/12 - (5*f[7, 61])/12 + (37*f[7, 62])/64 + (37*f[7, 63])/64 - 
       (37*f[7, 64])/64 - f[7, 65]/3 + f[7, 66]/6 + (7*f[7, 67])/12 + 
       f[7, 68]/3 + f[7, 69]/3 - f[7, 70]/12 + f[7, 71]/12 - f[7, 72]/3 + 
       f[7, 73]/3 + f[7, 74]/3 + (173*f[7, 75])/192 - (17*f[7, 76])/24 + 
       f[7, 77]/48 - f[7, 78]/6 + (35*f[7, 79])/192 + (57*f[7, 80])/64 - 
       (39*f[7, 81])/16 - (49*f[7, 82])/16 - (107*f[7, 83])/24 - 
       (9*f[7, 84])/64 + (251*f[7, 85])/192 + (427*f[7, 86])/192 + 
       (259*f[7, 87])/192 + (5*f[7, 88])/192 - (21*f[7, 89])/64 + 
       (17*f[7, 90])/64 + (117*f[7, 91])/16 + (67*f[7, 92])/192 + 
       (361*f[7, 93])/192 + (347*f[7, 94])/192 + (41*f[7, 95])/64 + 
       (41*f[7, 96])/32 - (61*f[7, 97])/32 - (61*f[7, 98])/32 + 
       (29*f[7, 99])/48 - (35*f[7, 100])/12 - (101*f[7, 101])/192 - 
       (83*f[7, 102])/48 + (25*f[7, 103])/24 - (361*f[7, 104])/192 + 
       (131*f[7, 105])/64 - (5*f[7, 106])/16 - (91*f[7, 107])/48 + 
       (175*f[7, 108])/192 + (21*f[7, 109])/64 + (23*f[7, 110])/24 + 
       (383*f[7, 111])/192 - (229*f[7, 112])/192 + (75*f[7, 113])/32 + 
       (43*f[7, 114])/192 + (275*f[7, 115])/192 - (169*f[7, 116])/192 - 
       (167*f[7, 117])/48 + (27*f[7, 118])/16 + (5*f[7, 119])/4 - 
       (29*f[7, 120])/64 - (209*f[7, 121])/192 + (221*f[7, 122])/192 + 
       (19*f[7, 123])/64 - (133*f[7, 124])/96 - (179*f[7, 125])/64 - 
       f[7, 126]/12 + f[7, 136]/3 - (2*f[7, 137])/3 - (7*f[7, 138])/12 - 
       (8*f[7, 146])/3 - (5*f[7, 147])/3 - (7*f[7, 148])/4 + f[7, 149]/4 - 
       (95*f[7, 150])/16)*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u] + 
     (-f[7, 7]/2 + f[7, 8]/2 - f[7, 23] - 4*f[7, 24] + f[7, 25]/2 + 
       f[7, 29] - 4*f[7, 43] - 4*f[7, 44] - f[7, 48] - (7*f[7, 49])/2 - 
       f[7, 51] + 2*f[7, 52] - f[7, 53] - (7*f[7, 54])/2 - f[7, 55] - 
       (7*f[7, 56])/2 + (53*f[7, 57])/8 + 36*f[7, 58] - (61*f[7, 59])/12 - 
       (9*f[7, 60])/16 - (15*f[7, 61])/8 - (967*f[7, 62])/48 - 
       (967*f[7, 63])/48 + (967*f[7, 64])/48 - (599*f[7, 65])/8 + 
       (331*f[7, 66])/4 + (183*f[7, 67])/8 + 169*f[7, 68] + 
       (339*f[7, 69])/2 - (339*f[7, 70])/8 + (339*f[7, 71])/8 - 
       173*f[7, 72] + 167*f[7, 73] + 169*f[7, 74] - (289*f[7, 75])/48 - 
       (3903*f[7, 76])/16 + (2819*f[7, 77])/16 - (339*f[7, 78])/4 + 
       (3949*f[7, 79])/48 + (235*f[7, 80])/48 + 51*f[7, 81] - 
       (1681*f[7, 82])/3 - (675*f[7, 83])/2 - (3661*f[7, 84])/48 + 
       (5051*f[7, 85])/24 + (26533*f[7, 86])/48 + (12109*f[7, 87])/48 - 
       (3557*f[7, 88])/48 + (2347*f[7, 89])/48 + (70*f[7, 90])/3 - 
       (587*f[7, 91])/3 + (3915*f[7, 92])/16 + (4391*f[7, 93])/24 - 
       (295*f[7, 94])/16 + (6119*f[7, 95])/16 - (331*f[7, 96])/4 - 
       (1735*f[7, 97])/12 - (1735*f[7, 98])/12 + (458*f[7, 99])/3 + 
       (15653*f[7, 100])/12 + (6967*f[7, 101])/48 + (1085*f[7, 102])/6 + 
       (235*f[7, 103])/12 + (4559*f[7, 104])/48 + (1783*f[7, 105])/48 - 
       (4033*f[7, 106])/6 + (9007*f[7, 107])/12 - (9427*f[7, 108])/48 - 
       (1925*f[7, 109])/16 + (653*f[7, 110])/16 + (7801*f[7, 111])/48 - 
       (4197*f[7, 112])/16 - (2249*f[7, 113])/24 - (5039*f[7, 114])/48 - 
       (755*f[7, 115])/12 - (3127*f[7, 116])/48 + (11798*f[7, 117])/3 + 
       (659*f[7, 118])/48 - (25345*f[7, 119])/48 - (4037*f[7, 120])/16 + 
       (2923*f[7, 121])/16 - (22265*f[7, 122])/48 - (2467*f[7, 123])/16 + 
       (2683*f[7, 124])/8 + (13961*f[7, 125])/48 - (730*f[7, 126])/3 - 
       2*f[7, 134] - f[7, 135] + (81*f[7, 136])/4 - (1541*f[7, 137])/8 - 
       (5951*f[7, 138])/32 + f[7, 139] + f[7, 145] + (61*f[7, 146])/2 + 
       2*f[7, 147] + (2665*f[7, 148])/16 + (12591*f[7, 149])/32 + 
       (4065*f[7, 150])/16)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (f[7, 8] - f[7, 9] + 2*f[7, 34] - 2*f[7, 47] + 
       8*f[7, 50] + f[7, 51] + 10*f[7, 52] + 8*f[7, 53] - f[7, 54] + 
       16*f[7, 55] + (11*f[7, 56])/4 + (13*f[7, 57])/8 + 18*f[7, 58] - 
       (59*f[7, 59])/6 + (23*f[7, 60])/16 + f[7, 61]/8 - (179*f[7, 62])/24 - 
       (179*f[7, 63])/24 + (179*f[7, 64])/24 + (557*f[7, 65])/8 - 
       (339*f[7, 66])/4 - (435*f[7, 67])/8 - (399*f[7, 68])/2 - 
       (387*f[7, 69])/2 + (403*f[7, 70])/8 - (403*f[7, 71])/8 + 
       (411*f[7, 72])/2 - (401*f[7, 73])/2 - (391*f[7, 74])/2 - 
       (1073*f[7, 75])/24 + (4773*f[7, 76])/16 - (2717*f[7, 77])/16 + 
       (377*f[7, 78])/4 - (475*f[7, 79])/6 - (98*f[7, 80])/3 + 
       (483*f[7, 81])/2 + (8693*f[7, 82])/12 + 395*f[7, 83] + 
       (923*f[7, 84])/12 - (13661*f[7, 85])/48 - (17251*f[7, 86])/24 - 
       (8239*f[7, 87])/24 + (961*f[7, 88])/12 - (781*f[7, 89])/24 - 
       (485*f[7, 90])/48 - (11*f[7, 91])/12 - (1151*f[7, 92])/4 - 
       (12311*f[7, 93])/48 - (355*f[7, 94])/4 - (1775*f[7, 95])/4 + 
       (189*f[7, 96])/8 + (4645*f[7, 97])/24 + (4645*f[7, 98])/24 - 
       (2455*f[7, 99])/12 - (15259*f[7, 100])/12 - (739*f[7, 101])/6 - 
       (266*f[7, 102])/3 - (557*f[7, 103])/12 + (167*f[7, 104])/12 - 
       (1289*f[7, 105])/12 + (1960*f[7, 106])/3 - (4045*f[7, 107])/6 + 
       (3853*f[7, 108])/24 + (575*f[7, 109])/8 - (1243*f[7, 110])/16 - 
       (6313*f[7, 111])/24 + 335*f[7, 112] + (265*f[7, 113])/24 + 
       (1045*f[7, 114])/12 - (2717*f[7, 115])/48 + (697*f[7, 116])/6 - 
       (45541*f[7, 117])/12 - (3763*f[7, 118])/48 + (23015*f[7, 119])/48 + 
       (2149*f[7, 120])/8 - (1093*f[7, 121])/8 + (10013*f[7, 122])/24 + 
       (1263*f[7, 123])/8 - (589*f[7, 124])/2 - (4427*f[7, 125])/24 + 
       (6241*f[7, 126])/24 - f[7, 133] - (3*f[7, 135])/2 + 15*f[7, 136] - 
       (1155*f[7, 137])/4 - (4087*f[7, 138])/16 - 2*f[7, 139] + 
       24*f[7, 145] + 5*f[7, 146] + (263*f[7, 147])/4 - (5843*f[7, 148])/8 - 
       (28527*f[7, 149])/16 - (2093*f[7, 150])/3)*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (-f[7, 53]/6 - (5*f[7, 62])/24 - 
       (5*f[7, 63])/24 + (5*f[7, 64])/24 + (5*f[7, 75])/24 - 
       (5*f[7, 79])/24 - (5*f[7, 80])/24 - (5*f[7, 81])/3 + (2*f[7, 82])/3 + 
       (5*f[7, 83])/3 + (5*f[7, 84])/24 - (5*f[7, 85])/24 - (5*f[7, 86])/24 - 
       (5*f[7, 87])/24 + (5*f[7, 88])/24 + (5*f[7, 89])/24 - 
       (5*f[7, 90])/24 - (5*f[7, 91])/6 - (5*f[7, 92])/24 - (5*f[7, 93])/8 + 
       (5*f[7, 94])/24 - (5*f[7, 95])/24 - (5*f[7, 96])/12 + 
       (7*f[7, 97])/12 + (5*f[7, 98])/4 + (5*f[7, 100])/3 + 
       (5*f[7, 101])/24 - (5*f[7, 103])/12 - (5*f[7, 104])/24 - 
       (5*f[7, 105])/8 + (5*f[7, 106])/6 + (5*f[7, 107])/6 - 
       (5*f[7, 108])/24 - (5*f[7, 109])/24 - (5*f[7, 110])/12 - 
       (5*f[7, 111])/24 + (5*f[7, 112])/8 - (5*f[7, 113])/12 - 
       (5*f[7, 114])/24 + (5*f[7, 115])/24 + (5*f[7, 116])/8 + 
       (5*f[7, 117])/6 - (5*f[7, 118])/12 - (5*f[7, 119])/12 + 
       (5*f[7, 120])/24 - (5*f[7, 121])/24 + (25*f[7, 122])/24 + 
       (5*f[7, 123])/24 - (5*f[7, 124])/12 - (5*f[7, 125])/24 + 
       (5*f[7, 126])/6 - (5*f[7, 150])/6)*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - v] + (2*f[7, 52] + (11*f[7, 56])/8 + 
       (3*f[7, 57])/16 + 2*f[7, 58] - (11*f[7, 59])/12 + (25*f[7, 60])/32 + 
       (47*f[7, 61])/16 - (71*f[7, 62])/48 - (71*f[7, 63])/48 + 
       (71*f[7, 64])/48 + (47*f[7, 65])/16 - (11*f[7, 66])/8 - 
       (27*f[7, 67])/16 - (11*f[7, 68])/4 - (11*f[7, 69])/4 + 
       (19*f[7, 70])/16 - (19*f[7, 71])/16 + (11*f[7, 72])/4 - 
       (15*f[7, 73])/4 - (11*f[7, 74])/4 - (91*f[7, 75])/24 + 
       (151*f[7, 76])/32 + (49*f[7, 77])/32 + (11*f[7, 78])/8 - 
       (41*f[7, 79])/24 - (89*f[7, 80])/24 + f[7, 81] + (425*f[7, 82])/24 + 
       (79*f[7, 83])/4 + (13*f[7, 84])/12 - (629*f[7, 85])/96 - 
       (40*f[7, 86])/3 - (22*f[7, 87])/3 + f[7, 88]/6 + (5*f[7, 89])/48 - 
       (95*f[7, 90])/96 - (497*f[7, 91])/24 - (71*f[7, 92])/16 - 
       (695*f[7, 93])/96 - (13*f[7, 94])/4 - (21*f[7, 95])/4 - 
       (65*f[7, 96])/16 + (415*f[7, 97])/48 + (415*f[7, 98])/48 - 
       (185*f[7, 99])/48 + (143*f[7, 100])/24 + (19*f[7, 101])/6 + 
       (59*f[7, 102])/48 - (77*f[7, 103])/24 + (95*f[7, 104])/24 - 
       (209*f[7, 105])/24 + (73*f[7, 106])/6 + (161*f[7, 107])/12 - 
       (23*f[7, 108])/48 + (37*f[7, 109])/16 - (259*f[7, 110])/32 - 
       (433*f[7, 111])/48 + (85*f[7, 112])/16 - (377*f[7, 113])/48 + 
       (43*f[7, 114])/24 - (299*f[7, 115])/96 + (53*f[7, 116])/24 - 
       (127*f[7, 117])/24 - (469*f[7, 118])/96 - (163*f[7, 119])/96 + 
       (77*f[7, 120])/16 + (53*f[7, 121])/16 - (73*f[7, 122])/48 - 
       (7*f[7, 123])/16 + (17*f[7, 124])/4 + (433*f[7, 125])/48 + 
       (61*f[7, 126])/48 - (17*f[7, 136])/2 + 40*f[7, 137] + 
       (151*f[7, 138])/4 + 20*f[7, 146] + 7*f[7, 147] + (185*f[7, 148])/4 + 
       (735*f[7, 149])/8 + (1009*f[7, 150])/12)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (-f[7, 49] + f[7, 51] + f[7, 52] + 2*f[7, 53] + 2*f[7, 54] - 
       8*f[7, 55] - (7*f[7, 56])/4 - (87*f[7, 57])/8 + 3*f[7, 58] + 
       (13*f[7, 59])/3 - (117*f[7, 60])/16 - (131*f[7, 61])/8 + 
       (337*f[7, 62])/48 + (337*f[7, 63])/48 - (337*f[7, 64])/48 + 
       (17*f[7, 65])/8 - (59*f[7, 66])/4 - (47*f[7, 67])/8 - 
       (67*f[7, 68])/2 - (67*f[7, 69])/2 + (111*f[7, 70])/8 - 
       (111*f[7, 71])/8 + (67*f[7, 72])/2 - 41*f[7, 73] - (67*f[7, 74])/2 + 
       (5*f[7, 75])/24 + (741*f[7, 76])/16 - (829*f[7, 77])/16 + 
       (67*f[7, 78])/4 + (65*f[7, 79])/12 + (101*f[7, 80])/12 + 
       129*f[7, 81] + (907*f[7, 82])/12 - (87*f[7, 83])/2 + (71*f[7, 84])/6 - 
       (1885*f[7, 85])/48 - (2441*f[7, 86])/24 - (989*f[7, 87])/24 + 
       (41*f[7, 88])/3 - (469*f[7, 89])/48 - (157*f[7, 90])/48 + 
       (38*f[7, 91])/3 - 25*f[7, 92] - (289*f[7, 93])/48 - (97*f[7, 94])/8 - 
       (319*f[7, 95])/4 + 37*f[7, 96] + (67*f[7, 97])/12 + (67*f[7, 98])/12 - 
       (2039*f[7, 99])/48 - (4895*f[7, 100])/12 - (2545*f[7, 101])/48 - 
       (217*f[7, 102])/48 + (149*f[7, 103])/12 + (1285*f[7, 104])/48 + 
       (517*f[7, 105])/24 + (881*f[7, 106])/12 - (3109*f[7, 107])/12 + 
       (1387*f[7, 108])/48 - (27*f[7, 109])/16 + (17*f[7, 110])/4 - 
       (1531*f[7, 111])/48 + (839*f[7, 112])/16 + (1357*f[7, 113])/48 + 
       (133*f[7, 114])/24 - (925*f[7, 115])/48 + (239*f[7, 116])/24 - 
       (2633*f[7, 117])/3 + (35*f[7, 118])/6 + (6349*f[7, 119])/48 + 
       (563*f[7, 120])/16 - (711*f[7, 121])/16 + (4193*f[7, 122])/48 + 
       (587*f[7, 123])/16 - (645*f[7, 124])/8 - (3575*f[7, 125])/48 + 
       (2071*f[7, 126])/48 - f[7, 135] + 53*f[7, 136] - (1187*f[7, 137])/4 - 
       (4217*f[7, 138])/16 - 4*f[7, 145] - 96*f[7, 146] - (19*f[7, 147])/2 - 
       (3385*f[7, 148])/8 - (15627*f[7, 149])/16 - (8215*f[7, 150])/12)*
      HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (2*f[7, 28] - f[7, 29] + 4*f[7, 32] - 2*f[7, 36] + f[7, 37] - 
       8*f[7, 38] - 2*f[7, 39] - 2*f[7, 40] + 2*f[7, 41] + 2*f[7, 42] + 
       6*f[7, 43] + 12*f[7, 44] + 2*f[7, 45] + 6*f[7, 46] + f[7, 47] - 
       (5*f[7, 48])/2 + (11*f[7, 49])/2 - 9*f[7, 50] + (3*f[7, 51])/2 - 
       f[7, 52] - 3*f[7, 53] + (7*f[7, 54])/2 - 4*f[7, 55] + 
       (119*f[7, 56])/8 - (367*f[7, 57])/16 - 83*f[7, 58] + 
       (295*f[7, 59])/12 + (195*f[7, 60])/32 + (93*f[7, 61])/16 + 
       (1957*f[7, 62])/48 + (1957*f[7, 63])/48 - (1957*f[7, 64])/48 + 
       (2541*f[7, 65])/16 - (1381*f[7, 66])/8 - (637*f[7, 67])/16 - 
       (1343*f[7, 68])/4 - (1341*f[7, 69])/4 + (1277*f[7, 70])/16 - 
       (1293*f[7, 71])/16 + (1335*f[7, 72])/4 - (1331*f[7, 73])/4 - 
       (1321*f[7, 74])/4 + (515*f[7, 75])/24 + (14613*f[7, 76])/32 - 
       (10293*f[7, 77])/32 + (1257*f[7, 78])/8 - (4043*f[7, 79])/24 - 
       (389*f[7, 80])/24 - 185*f[7, 81] + (27371*f[7, 82])/24 + 
       (2989*f[7, 83])/4 + (1933*f[7, 84])/12 - (40055*f[7, 85])/96 - 
       (12739*f[7, 86])/12 - (5761*f[7, 87])/12 + (1799*f[7, 88])/12 - 
       (4855*f[7, 89])/48 - (6629*f[7, 90])/96 + (10201*f[7, 91])/24 - 
       (7829*f[7, 92])/16 - (37205*f[7, 93])/96 + (589*f[7, 94])/8 - 
       752*f[7, 95] + (2737*f[7, 96])/16 + (14041*f[7, 97])/48 + 
       (13849*f[7, 98])/48 - (14657*f[7, 99])/48 - (60019*f[7, 100])/24 - 
       (6431*f[7, 101])/24 - (19027*f[7, 102])/48 - (731*f[7, 103])/24 - 
       (5395*f[7, 104])/24 - (2027*f[7, 105])/24 + (4166*f[7, 106])/3 - 
       (17155*f[7, 107])/12 + (18625*f[7, 108])/48 + (4233*f[7, 109])/16 - 
       (3485*f[7, 110])/32 - (15781*f[7, 111])/48 + (8369*f[7, 112])/16 + 
       (8461*f[7, 113])/48 + (5071*f[7, 114])/24 + (15079*f[7, 115])/96 + 
       (2873*f[7, 116])/24 - (185017*f[7, 117])/24 - (1063*f[7, 118])/96 + 
       (98591*f[7, 119])/96 + (8153*f[7, 120])/16 - (5939*f[7, 121])/16 + 
       (45491*f[7, 122])/48 + (4889*f[7, 123])/16 - (2713*f[7, 124])/4 - 
       (28307*f[7, 125])/48 + (23353*f[7, 126])/48 + 2*f[7, 132] - 
       2*f[7, 134] + (3*f[7, 135])/2 - 42*f[7, 136] + (395*f[7, 137])/2 + 
       (1685*f[7, 138])/8 + 4*f[7, 144] - 2*f[7, 145] - 81*f[7, 146] + 
       (7*f[7, 147])/4 - (2069*f[7, 148])/4 - (4899*f[7, 149])/4 - 
       (5857*f[7, 150])/8)*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (f[7, 49]/2 - f[7, 51]/2 + (3*f[7, 52])/2 - f[7, 53] - f[7, 54] + 
       (3*f[7, 55])/2 + (29*f[7, 56])/16 + (53*f[7, 57])/32 - 35*f[7, 58] - 
       (67*f[7, 59])/24 + (143*f[7, 60])/64 + (201*f[7, 61])/32 + 
       (751*f[7, 62])/48 + (751*f[7, 63])/48 - (751*f[7, 64])/48 + 
       (673*f[7, 65])/32 - (281*f[7, 66])/16 + (215*f[7, 67])/32 - 
       (265*f[7, 68])/8 - (265*f[7, 69])/8 + (225*f[7, 70])/32 - 
       (209*f[7, 71])/32 + (265*f[7, 72])/8 - (243*f[7, 73])/8 - 
       (265*f[7, 74])/8 + (631*f[7, 75])/48 + (2689*f[7, 76])/64 - 
       (2313*f[7, 77])/64 + (265*f[7, 78])/16 - (295*f[7, 79])/12 + 
       (347*f[7, 80])/48 - (489*f[7, 81])/4 + (4171*f[7, 82])/48 + 
       (561*f[7, 83])/8 + (751*f[7, 84])/48 - (4723*f[7, 85])/192 - 
       (2015*f[7, 86])/24 - (821*f[7, 87])/24 + (677*f[7, 88])/48 - 
       (61*f[7, 89])/3 - (565*f[7, 90])/192 + (9479*f[7, 91])/48 - 
       (1691*f[7, 92])/32 - (4417*f[7, 93])/192 + (1071*f[7, 94])/16 - 
       (1077*f[7, 95])/16 + (1119*f[7, 96])/32 + (659*f[7, 97])/96 + 
       (755*f[7, 98])/96 - (953*f[7, 99])/48 - (14819*f[7, 100])/48 - 
       (3527*f[7, 101])/96 - (4969*f[7, 102])/48 + (235*f[7, 103])/24 - 
       (8161*f[7, 104])/96 + (455*f[7, 105])/48 + (4243*f[7, 106])/24 - 
       (1049*f[7, 107])/6 + (817*f[7, 108])/12 + (965*f[7, 109])/16 - 
       (123*f[7, 110])/64 - (143*f[7, 111])/24 + (237*f[7, 112])/8 + 
       (2653*f[7, 113])/48 + (2087*f[7, 114])/48 + (11483*f[7, 115])/192 - 
       (443*f[7, 116])/48 - (46295*f[7, 117])/48 + (5155*f[7, 118])/192 + 
       (26299*f[7, 119])/192 + (231*f[7, 120])/4 - (801*f[7, 121])/16 + 
       (2743*f[7, 122])/24 + (105*f[7, 123])/4 - (1225*f[7, 124])/16 - 
       (4559*f[7, 125])/48 + (2113*f[7, 126])/48 - (157*f[7, 136])/4 + 
       (1835*f[7, 137])/8 + (6981*f[7, 138])/32 + 8*f[7, 146] - 
       (35*f[7, 147])/2 + (1353*f[7, 148])/8 + (14101*f[7, 149])/32 + 
       (3493*f[7, 150])/16)*HPL[{0, 1, 1}, 1 - v]^2 + 
     (4*f[7, 15] - 3*f[7, 34] - 2*f[7, 45] - 2*f[7, 46] + (5*f[7, 47])/2 - 
       f[7, 48]/2 + f[7, 49]/2 - 8*f[7, 50] - f[7, 51]/2 - 9*f[7, 53] - 
       f[7, 54]/2 - 17*f[7, 55] - (35*f[7, 56])/8 - (21*f[7, 57])/16 - 
       f[7, 58] + (25*f[7, 59])/4 + f[7, 60]/32 + (79*f[7, 61])/16 - 
       (35*f[7, 62])/4 - (35*f[7, 63])/4 + (35*f[7, 64])/4 - 
       (849*f[7, 65])/16 + (537*f[7, 66])/8 + (601*f[7, 67])/16 + 
       (669*f[7, 68])/4 + (649*f[7, 69])/4 - (641*f[7, 70])/16 + 
       (641*f[7, 71])/16 - (697*f[7, 72])/4 + (647*f[7, 73])/4 + 
       (665*f[7, 74])/4 + (303*f[7, 75])/8 - (7837*f[7, 76])/32 + 
       (5065*f[7, 77])/32 - (649*f[7, 78])/8 + 59*f[7, 79] + 
       (21*f[7, 80])/2 - (457*f[7, 81])/2 - (4557*f[7, 82])/8 - 
       (1233*f[7, 83])/4 - (435*f[7, 84])/8 + (7161*f[7, 85])/32 + 
       (2361*f[7, 86])/4 + (547*f[7, 87])/2 - (465*f[7, 88])/8 + 
       (281*f[7, 89])/8 - (265*f[7, 90])/32 - (1401*f[7, 91])/8 + 
       (3623*f[7, 92])/16 + (6415*f[7, 93])/32 + (129*f[7, 94])/4 + 
       (2961*f[7, 95])/8 - (667*f[7, 96])/16 - (1905*f[7, 97])/16 - 
       (1873*f[7, 98])/16 + (325*f[7, 99])/2 + (9801*f[7, 100])/8 + 
       (2103*f[7, 101])/16 + (521*f[7, 102])/4 + (47*f[7, 103])/4 + 
       (549*f[7, 104])/16 + (421*f[7, 105])/8 - (2095*f[7, 106])/4 + 
       (1355*f[7, 107])/2 - (1193*f[7, 108])/8 - (255*f[7, 109])/4 + 
       (899*f[7, 110])/32 + (1591*f[7, 111])/8 - (2011*f[7, 112])/8 - 
       (431*f[7, 113])/8 - (671*f[7, 114])/8 + (1811*f[7, 115])/32 - 
       (585*f[7, 116])/8 + (26873*f[7, 117])/8 + (871*f[7, 118])/32 - 
       (14049*f[7, 119])/32 - (1601*f[7, 120])/8 + 112*f[7, 121] - 
       (2517*f[7, 122])/8 - (949*f[7, 123])/8 + (1845*f[7, 124])/8 + 
       (641*f[7, 125])/4 - (751*f[7, 126])/4 - 5*f[7, 133] - 2*f[7, 135] + 
       (41*f[7, 136])/2 - (809*f[7, 137])/2 - (3029*f[7, 138])/8 - 
       10*f[7, 145] - 40*f[7, 146] - 11*f[7, 147] - (367*f[7, 148])/4 - 
       (731*f[7, 149])/4 - (1709*f[7, 150])/6)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v] + (2*f[7, 5] + (3*f[7, 56])/16 - 
       (21*f[7, 57])/32 - 9*f[7, 58] + (7*f[7, 59])/8 + f[7, 60]/64 - 
       (25*f[7, 61])/32 + (69*f[7, 62])/16 + (69*f[7, 63])/16 - 
       (69*f[7, 64])/16 - (41*f[7, 65])/32 - (3*f[7, 66])/16 + 
       (141*f[7, 67])/32 - (3*f[7, 68])/8 - (3*f[7, 69])/8 + 
       (3*f[7, 70])/32 - (3*f[7, 71])/32 + (3*f[7, 72])/8 - (3*f[7, 73])/8 - 
       (3*f[7, 74])/8 + (123*f[7, 75])/32 - (65*f[7, 76])/64 - 
       (71*f[7, 77])/64 + (3*f[7, 78])/16 - (15*f[7, 79])/32 + 
       (157*f[7, 80])/32 - (169*f[7, 81])/8 - (123*f[7, 82])/16 - 
       (127*f[7, 83])/8 - (11*f[7, 84])/32 + (327*f[7, 85])/64 + 
       (179*f[7, 86])/32 + (123*f[7, 87])/32 - (15*f[7, 88])/32 - 
       (21*f[7, 89])/8 + (89*f[7, 90])/64 + (1099*f[7, 91])/16 - 
       (11*f[7, 92])/4 + (533*f[7, 93])/64 + (691*f[7, 94])/32 + 
       (23*f[7, 95])/32 + (189*f[7, 96])/32 - (401*f[7, 97])/32 - 
       (401*f[7, 98])/32 + (93*f[7, 99])/32 - (507*f[7, 100])/16 - 
       (145*f[7, 101])/32 - (667*f[7, 102])/32 + (111*f[7, 103])/16 - 
       (643*f[7, 104])/32 + (295*f[7, 105])/32 + (63*f[7, 106])/8 - 
       (37*f[7, 107])/2 + (139*f[7, 108])/16 + (57*f[7, 109])/8 + 
       (141*f[7, 110])/64 + (21*f[7, 111])/2 - (53*f[7, 112])/8 + 
       (507*f[7, 113])/32 + (185*f[7, 114])/32 + (725*f[7, 115])/64 - 
       (175*f[7, 116])/32 - (1099*f[7, 117])/16 + (793*f[7, 118])/64 + 
       (799*f[7, 119])/64 - (17*f[7, 120])/16 - (25*f[7, 121])/4 + 
       (127*f[7, 122])/16 - (21*f[7, 123])/16 - (79*f[7, 124])/16 - 
       (241*f[7, 125])/16 - f[7, 126]/32 + (9*f[7, 136])/4 - 
       (89*f[7, 137])/4 - (321*f[7, 138])/16 - (45*f[7, 146])/2 - 
       (53*f[7, 147])/4 - (625*f[7, 148])/16 - (221*f[7, 149])/4 - 
       (267*f[7, 150])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u] + (-f[7, 58]/2 + (5*f[7, 62])/32 + 
       (5*f[7, 63])/32 - (5*f[7, 64])/32 + f[7, 65]/4 - f[7, 66]/4 + 
       f[7, 67]/8 - f[7, 68]/2 - f[7, 69]/2 + f[7, 70]/8 - f[7, 71]/8 + 
       f[7, 72]/2 - f[7, 73]/2 - f[7, 74]/2 + (3*f[7, 75])/16 + 
       (5*f[7, 76])/8 - (3*f[7, 77])/8 + f[7, 78]/4 - (3*f[7, 79])/8 + 
       f[7, 80]/16 - (7*f[7, 81])/4 + (3*f[7, 82])/2 + f[7, 83] + 
       f[7, 84]/4 - (7*f[7, 85])/16 - (21*f[7, 86])/16 - (9*f[7, 87])/16 + 
       f[7, 88]/4 - (9*f[7, 89])/32 - f[7, 90]/8 + (21*f[7, 91])/8 - 
       (7*f[7, 92])/8 - (7*f[7, 93])/16 + (3*f[7, 94])/4 - f[7, 95] + 
       (7*f[7, 96])/16 + (3*f[7, 97])/16 + (3*f[7, 98])/16 - 
       (15*f[7, 99])/32 - (17*f[7, 100])/4 - (13*f[7, 101])/32 - 
       (43*f[7, 102])/32 + (3*f[7, 103])/16 - (37*f[7, 104])/32 + 
       f[7, 105]/16 + (21*f[7, 106])/8 - (17*f[7, 107])/8 + 
       (31*f[7, 108])/32 + (27*f[7, 109])/32 - (5*f[7, 110])/32 - 
       (3*f[7, 111])/32 + (17*f[7, 112])/32 + (25*f[7, 113])/32 + 
       (9*f[7, 114])/16 + (13*f[7, 115])/16 - f[7, 116]/16 - 
       (105*f[7, 117])/8 + (11*f[7, 118])/32 + (15*f[7, 119])/8 + 
       (29*f[7, 120])/32 - (29*f[7, 121])/32 + (65*f[7, 122])/32 + 
       (17*f[7, 123])/32 - (23*f[7, 124])/16 - (55*f[7, 125])/32 + 
       (27*f[7, 126])/32 + f[7, 137]/8 + (3*f[7, 138])/32 - f[7, 146] - 
       f[7, 147]/2 - (3*f[7, 148])/2 - (71*f[7, 149])/32 - (49*f[7, 150])/16)*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - u] + 
     (4*f[7, 18] + f[7, 29]/2 + f[7, 37]/2 + f[7, 41]/6 + f[7, 42]/6 - 
       2*f[7, 43] - 2*f[7, 44] + 2*f[7, 45] + 2*f[7, 46] + (5*f[7, 47])/12 - 
       f[7, 48]/12 - (9*f[7, 49])/4 - (11*f[7, 50])/2 - (5*f[7, 51])/6 - 
       (7*f[7, 52])/2 - 2*f[7, 53] + (11*f[7, 54])/6 - (43*f[7, 56])/8 + 
       (127*f[7, 57])/48 - 8*f[7, 58] + (79*f[7, 59])/12 - 
       (235*f[7, 60])/96 - (277*f[7, 61])/48 - (105*f[7, 62])/32 - 
       (105*f[7, 63])/32 + (105*f[7, 64])/32 - (619*f[7, 65])/16 + 
       (1067*f[7, 66])/24 + (1355*f[7, 67])/48 + (1103*f[7, 68])/12 + 
       (1091*f[7, 69])/12 - (1259*f[7, 70])/48 + (1259*f[7, 71])/48 - 
       (293*f[7, 72])/3 + (1097*f[7, 73])/12 + (280*f[7, 74])/3 + 
       (653*f[7, 75])/48 - (13769*f[7, 76])/96 + (10301*f[7, 77])/96 - 
       (1043*f[7, 78])/24 + (463*f[7, 79])/16 + (31*f[7, 80])/3 - 
       (1439*f[7, 81])/12 - (2491*f[7, 82])/8 - (249*f[7, 83])/2 - 
       (1859*f[7, 84])/48 + (12419*f[7, 85])/96 + (15481*f[7, 86])/48 + 
       (7211*f[7, 87])/48 - (589*f[7, 88])/16 + (1483*f[7, 89])/96 + 
       (569*f[7, 90])/96 + (355*f[7, 91])/6 + (5653*f[7, 92])/48 + 
       (9605*f[7, 93])/96 + (259*f[7, 94])/6 + (10163*f[7, 95])/48 - 
       (175*f[7, 96])/6 - (2305*f[7, 97])/24 - (2401*f[7, 98])/24 + 
       (9289*f[7, 99])/96 + (16207*f[7, 100])/24 + (7613*f[7, 101])/96 + 
       (2335*f[7, 102])/96 + (1639*f[7, 103])/48 - (1107*f[7, 104])/32 + 
       (211*f[7, 105])/6 - (2343*f[7, 106])/8 + (3233*f[7, 107])/8 - 
       (6565*f[7, 108])/96 - (2261*f[7, 109])/96 + (1037*f[7, 110])/48 + 
       (11965*f[7, 111])/96 - (15265*f[7, 112])/96 - (1591*f[7, 113])/96 - 
       (71*f[7, 114])/2 + (1963*f[7, 115])/96 - (163*f[7, 116])/3 + 
       (5929*f[7, 117])/3 + (2237*f[7, 118])/48 - (8107*f[7, 119])/32 - 
       (12299*f[7, 120])/96 + (2309*f[7, 121])/32 - (6689*f[7, 122])/32 - 
       (6983*f[7, 123])/96 + (6931*f[7, 124])/48 + (9325*f[7, 125])/96 - 
       (12383*f[7, 126])/96 - 4*f[7, 129] + f[7, 132] - f[7, 134] + 
       (5*f[7, 135])/4 - (385*f[7, 136])/6 + (877*f[7, 137])/3 + 
       277*f[7, 138] + 2*f[7, 144] + 2*f[7, 145] + (317*f[7, 146])/3 + 
       (125*f[7, 147])/24 + (4381*f[7, 148])/8 + (30847*f[7, 149])/24 + 
       (19943*f[7, 150])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v] + (-f[7, 47]/2 + 2*f[7, 50] - f[7, 52] + 
       2*f[7, 53] + 4*f[7, 55] + (3*f[7, 56])/4 + (23*f[7, 57])/8 - 
       16*f[7, 58] - (4*f[7, 59])/3 + (21*f[7, 60])/16 + (19*f[7, 61])/8 + 
       (241*f[7, 62])/24 + (241*f[7, 63])/24 - (241*f[7, 64])/24 + 
       (155*f[7, 65])/8 - (79*f[7, 66])/4 - (23*f[7, 67])/8 - 
       (93*f[7, 68])/2 - (91*f[7, 69])/2 + (91*f[7, 70])/8 - 
       (91*f[7, 71])/8 + (97*f[7, 72])/2 - (95*f[7, 73])/2 - 
       (93*f[7, 74])/2 + (115*f[7, 75])/24 + (1043*f[7, 76])/16 - 
       (747*f[7, 77])/16 + (91*f[7, 78])/4 - (59*f[7, 79])/3 + 
       (41*f[7, 80])/6 - 12*f[7, 81] + (1643*f[7, 82])/12 + 45*f[7, 83] + 
       (227*f[7, 84])/12 - (2447*f[7, 85])/48 - (3499*f[7, 86])/24 - 
       (1561*f[7, 87])/24 + (235*f[7, 88])/12 - (343*f[7, 89])/24 + 
       (145*f[7, 90])/48 + (1483*f[7, 91])/12 - (269*f[7, 92])/4 - 
       (1889*f[7, 93])/48 + 23*f[7, 94] - (415*f[7, 95])/4 + 
       (209*f[7, 96])/8 + (631*f[7, 97])/24 + (631*f[7, 98])/24 - 
       (469*f[7, 99])/12 - (4297*f[7, 100])/12 - (467*f[7, 101])/12 - 
       (725*f[7, 102])/12 - (5*f[7, 103])/3 - (209*f[7, 104])/6 + 
       (13*f[7, 105])/3 + (1013*f[7, 106])/6 - (1231*f[7, 107])/6 + 
       (1405*f[7, 108])/24 + (229*f[7, 109])/8 - (85*f[7, 110])/16 - 
       (823*f[7, 111])/24 + (131*f[7, 112])/2 + (1141*f[7, 113])/24 + 
       (367*f[7, 114])/12 + (973*f[7, 115])/48 + (179*f[7, 116])/12 - 
       (12823*f[7, 117])/12 + (263*f[7, 118])/48 + (7049*f[7, 119])/48 + 
       (503*f[7, 120])/8 - (437*f[7, 121])/8 + (3167*f[7, 122])/24 + 
       (319*f[7, 123])/8 - (189*f[7, 124])/2 - (2255*f[7, 125])/24 + 
       (1627*f[7, 126])/24 + f[7, 136] + (157*f[7, 137])/4 + 
       (607*f[7, 138])/16 + 2*f[7, 145] - 34*f[7, 146] - 16*f[7, 147] - 
       83*f[7, 148] - (2243*f[7, 149])/16 - (3191*f[7, 150])/24)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((-3*f[7, 47])/8 - (3*f[7, 52])/4 + (3*f[7, 55])/2 - (33*f[7, 56])/32 + 
       (63*f[7, 57])/64 - 3*f[7, 58] + f[7, 59]/16 - (51*f[7, 60])/128 - 
       (165*f[7, 61])/64 + (7*f[7, 62])/4 + (7*f[7, 63])/4 - (7*f[7, 64])/4 + 
       (171*f[7, 65])/64 - (111*f[7, 66])/32 - (63*f[7, 67])/64 - 
       (195*f[7, 68])/16 - (183*f[7, 69])/16 + (183*f[7, 70])/64 - 
       (183*f[7, 71])/64 + (183*f[7, 72])/16 - (147*f[7, 73])/16 - 
       (159*f[7, 74])/16 + (31*f[7, 75])/64 + (2091*f[7, 76])/128 - 
       (1179*f[7, 77])/128 + (183*f[7, 78])/32 - (193*f[7, 79])/64 + 
       (239*f[7, 80])/64 + (141*f[7, 81])/16 + (1169*f[7, 82])/32 + 
       (111*f[7, 83])/16 + (247*f[7, 84])/64 - (1757*f[7, 85])/128 - 
       (2533*f[7, 86])/64 - (1129*f[7, 87])/64 + (347*f[7, 88])/64 - 
       (113*f[7, 89])/32 + (265*f[7, 90])/128 + (1339*f[7, 91])/32 - 
       (141*f[7, 92])/8 - (1559*f[7, 93])/128 + (333*f[7, 94])/64 - 
       (1731*f[7, 95])/64 + (345*f[7, 96])/64 + (295*f[7, 97])/64 + 
       (295*f[7, 98])/64 - (749*f[7, 99])/64 - (2839*f[7, 100])/32 - 
       (547*f[7, 101])/64 - (937*f[7, 102])/64 + (49*f[7, 103])/32 - 
       (521*f[7, 104])/64 + (185*f[7, 105])/64 + (587*f[7, 106])/16 - 
       (353*f[7, 107])/8 + (217*f[7, 108])/16 + (117*f[7, 109])/32 - 
       (123*f[7, 110])/128 - (275*f[7, 111])/32 + (135*f[7, 112])/8 + 
       (943*f[7, 113])/64 + (347*f[7, 114])/64 - (35*f[7, 115])/128 + 
       (283*f[7, 116])/64 - (7747*f[7, 117])/32 + (389*f[7, 118])/128 + 
       (4211*f[7, 119])/128 + (207*f[7, 120])/16 - (459*f[7, 121])/32 + 
       (67*f[7, 122])/2 + (171*f[7, 123])/16 - (801*f[7, 124])/32 - 
       (419*f[7, 125])/16 + (1135*f[7, 126])/64 + (9*f[7, 136])/2 - 
       (117*f[7, 137])/8 - (519*f[7, 138])/32 + 3*f[7, 145] - 15*f[7, 146] - 
       (27*f[7, 147])/4 - (921*f[7, 148])/16 - (789*f[7, 149])/8 - 
       (1169*f[7, 150])/16)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + ((-3*f[7, 55])/8 - (9*f[7, 56])/16 - 
       (9*f[7, 57])/32 - (39*f[7, 58])/8 + (3*f[7, 59])/8 - 
       (27*f[7, 60])/64 - (45*f[7, 61])/32 + (285*f[7, 62])/128 + 
       (285*f[7, 63])/128 - (285*f[7, 64])/128 + (27*f[7, 65])/32 - 
       (27*f[7, 66])/16 + (45*f[7, 67])/32 - (27*f[7, 68])/8 - 
       (27*f[7, 69])/8 + (39*f[7, 70])/32 - (39*f[7, 71])/32 + 
       (27*f[7, 72])/8 - (27*f[7, 73])/8 - (27*f[7, 74])/8 + 
       (315*f[7, 75])/128 + (243*f[7, 76])/64 - (243*f[7, 77])/64 + 
       (27*f[7, 78])/16 - (219*f[7, 79])/128 + (303*f[7, 80])/128 - 
       (339*f[7, 81])/32 + (153*f[7, 82])/32 + (27*f[7, 83])/16 + 
       (171*f[7, 84])/128 - (153*f[7, 85])/128 - (819*f[7, 86])/128 - 
       (243*f[7, 87])/128 + (219*f[7, 88])/128 - (357*f[7, 89])/128 - 
       (45*f[7, 90])/128 + (963*f[7, 91])/32 - (501*f[7, 92])/128 - 
       (33*f[7, 93])/128 + (1119*f[7, 94])/128 - (843*f[7, 95])/128 + 
       (399*f[7, 96])/64 - (159*f[7, 97])/64 - (159*f[7, 98])/64 - 
       (33*f[7, 99])/16 - (375*f[7, 100])/8 - (681*f[7, 101])/128 - 
       (825*f[7, 102])/64 + (249*f[7, 103])/64 - (1419*f[7, 104])/128 + 
       (591*f[7, 105])/128 + (543*f[7, 106])/32 - (789*f[7, 107])/32 + 
       (1077*f[7, 108])/128 + (813*f[7, 109])/128 + (21*f[7, 110])/16 + 
       (261*f[7, 111])/128 + (225*f[7, 112])/128 + (609*f[7, 113])/64 + 
       (549*f[7, 114])/128 + (849*f[7, 115])/128 - (303*f[7, 116])/128 - 
       (3555*f[7, 117])/32 + (45*f[7, 118])/8 + (279*f[7, 119])/16 + 
       (699*f[7, 120])/128 - (939*f[7, 121])/128 + (1767*f[7, 122])/128 + 
       (483*f[7, 123])/128 - (711*f[7, 124])/64 - (1923*f[7, 125])/128 + 
       (141*f[7, 126])/32 - (9*f[7, 136])/8 + (123*f[7, 137])/16 + 
       (495*f[7, 138])/64 - (15*f[7, 146])/2 - (33*f[7, 147])/8 - 
       (81*f[7, 148])/32 + (171*f[7, 149])/64 - (465*f[7, 150])/32)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     ((3*f[7, 47])/4 + (3*f[7, 52])/2 - 3*f[7, 55] - (3*f[7, 56])/16 - 
       (75*f[7, 57])/32 + 6*f[7, 58] + (11*f[7, 59])/8 - (33*f[7, 60])/64 + 
       (9*f[7, 61])/32 - 5*f[7, 62] - 5*f[7, 63] + 5*f[7, 64] - 
       (375*f[7, 65])/32 + (171*f[7, 66])/16 + (123*f[7, 67])/32 + 
       (255*f[7, 68])/8 + (243*f[7, 69])/8 - (243*f[7, 70])/32 + 
       (243*f[7, 71])/32 - (243*f[7, 72])/8 + (207*f[7, 73])/8 + 
       (219*f[7, 74])/8 + (77*f[7, 75])/32 - (2823*f[7, 76])/64 + 
       (1671*f[7, 77])/64 - (243*f[7, 78])/16 + (325*f[7, 79])/32 - 
       (155*f[7, 80])/32 - (153*f[7, 81])/8 - (1589*f[7, 82])/16 - 
       (267*f[7, 83])/8 - (331*f[7, 84])/32 + (2417*f[7, 85])/64 + 
       (3385*f[7, 86])/32 + (1525*f[7, 87])/32 - (383*f[7, 88])/32 + 
       (149*f[7, 89])/16 - (301*f[7, 90])/64 - (1255*f[7, 91])/16 + 
       (183*f[7, 92])/4 + (2051*f[7, 93])/64 - (249*f[7, 94])/32 + 
       (2247*f[7, 95])/32 - (405*f[7, 96])/32 - (595*f[7, 97])/32 - 
       (595*f[7, 98])/32 + (953*f[7, 99])/32 + (3571*f[7, 100])/16 + 
       (703*f[7, 101])/32 + (1093*f[7, 102])/32 + (11*f[7, 103])/16 + 
       (509*f[7, 104])/32 - (53*f[7, 105])/32 - (791*f[7, 106])/8 + 
       (461*f[7, 107])/4 - (271*f[7, 108])/8 - (213*f[7, 109])/16 + 
       (279*f[7, 110])/64 + (455*f[7, 111])/16 - (87*f[7, 112])/2 - 
       (907*f[7, 113])/32 - (551*f[7, 114])/32 - f[7, 115]/64 - 
       (319*f[7, 116])/32 + (10255*f[7, 117])/16 - (185*f[7, 118])/64 - 
       (5519*f[7, 119])/64 - (291*f[7, 120])/8 + (483*f[7, 121])/16 - 
       (149*f[7, 122])/2 - (195*f[7, 123])/8 + (873*f[7, 124])/16 + 
       (413*f[7, 125])/8 - (1267*f[7, 126])/32 + 3*f[7, 136] - 
       (123*f[7, 137])/4 - (393*f[7, 138])/16 - 6*f[7, 145] + 6*f[7, 146] + 
       6*f[7, 147] + (453*f[7, 148])/8 + (153*f[7, 149])/2 + 
       (305*f[7, 150])/8)*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     ((11*f[7, 52])/4 - (45*f[7, 53])/8 + 4*f[7, 55] + (3*f[7, 56])/4 + 
       (13*f[7, 57])/4 - 20*f[7, 58] - f[7, 59]/2 + 2*f[7, 60] + 
       (19*f[7, 61])/4 + (87*f[7, 62])/16 + (87*f[7, 63])/16 - 
       (87*f[7, 64])/16 + 11*f[7, 65] - 7*f[7, 66] + (15*f[7, 67])/2 - 
       14*f[7, 68] - 14*f[7, 69] - f[7, 71]/4 + 14*f[7, 72] - 
       (119*f[7, 73])/8 - 14*f[7, 74] + (161*f[7, 75])/16 + 
       (133*f[7, 76])/8 - (11*f[7, 77])/4 + 7*f[7, 78] - (143*f[7, 79])/8 + 
       (7*f[7, 80])/32 - (915*f[7, 81])/8 + (89*f[7, 82])/2 + 28*f[7, 83] + 
       (69*f[7, 84])/8 - (145*f[7, 85])/16 - (517*f[7, 86])/16 - 
       (227*f[7, 87])/16 + (65*f[7, 88])/8 - (35*f[7, 89])/4 - 
       (53*f[7, 90])/16 + (431*f[7, 91])/4 - (1237*f[7, 92])/32 - 
       (247*f[7, 93])/32 + (933*f[7, 94])/32 - (421*f[7, 95])/16 + 
       (41*f[7, 96])/4 + (47*f[7, 97])/4 + 16*f[7, 98] - (53*f[7, 99])/16 - 
       (537*f[7, 100])/8 - (81*f[7, 101])/32 - (1607*f[7, 102])/32 + 
       (131*f[7, 103])/32 - (755*f[7, 104])/16 - (15*f[7, 105])/4 + 
       (403*f[7, 106])/4 - 22*f[7, 107] + (269*f[7, 108])/8 + 
       (521*f[7, 109])/16 - (379*f[7, 110])/32 + (51*f[7, 111])/16 + 
       (103*f[7, 112])/8 + (49*f[7, 113])/2 + (341*f[7, 114])/16 + 
       (1267*f[7, 115])/32 - (17*f[7, 116])/8 - 341*f[7, 117] + 
       (389*f[7, 118])/32 + (1509*f[7, 119])/32 + (481*f[7, 120])/16 - 
       (385*f[7, 121])/16 + (967*f[7, 122])/16 + (107*f[7, 123])/8 - 
       (593*f[7, 124])/16 - (185*f[7, 125])/4 + (99*f[7, 126])/4 - 
       (217*f[7, 136])/8 + (2845*f[7, 137])/16 + (5277*f[7, 138])/32 + 
       14*f[7, 146] - (225*f[7, 147])/16 + (9905*f[7, 148])/64 + 
       (25707*f[7, 149])/64 + (13943*f[7, 150])/64)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (f[7, 22]/4 - f[7, 34]/2 + f[7, 41]/2 + f[7, 42]/2 + (3*f[7, 47])/2 - 
       f[7, 48]/4 - 5*f[7, 50] - f[7, 51]/4 - 2*f[7, 52] - 5*f[7, 53] - 
       f[7, 54]/2 - 10*f[7, 55] - (11*f[7, 56])/4 - (7*f[7, 57])/2 - 
       19*f[7, 58] + (35*f[7, 59])/8 - f[7, 60] - 2*f[7, 61] + 
       (97*f[7, 62])/16 + (97*f[7, 63])/16 - (97*f[7, 64])/16 - 32*f[7, 65] + 
       (147*f[7, 66])/4 + (243*f[7, 67])/8 + (365*f[7, 68])/4 + 
       (177*f[7, 69])/2 - (179*f[7, 70])/8 + (181*f[7, 71])/8 - 
       (383*f[7, 72])/4 + (177*f[7, 73])/2 + (365*f[7, 74])/4 + 
       (453*f[7, 75])/16 - (275*f[7, 76])/2 + (1231*f[7, 77])/16 - 
       (349*f[7, 78])/8 + (1019*f[7, 79])/32 + (549*f[7, 80])/32 - 
       (1223*f[7, 81])/8 - (1347*f[7, 82])/4 - (1477*f[7, 83])/8 - 
       (1027*f[7, 84])/32 + (2167*f[7, 85])/16 + (2699*f[7, 86])/8 + 
       (325*f[7, 87])/2 - (1083*f[7, 88])/32 + (97*f[7, 89])/8 - 
       (35*f[7, 90])/32 + (163*f[7, 91])/4 + (2021*f[7, 92])/16 + 
       (1989*f[7, 93])/16 + (1959*f[7, 94])/32 + (6479*f[7, 95])/32 - 
       (3*f[7, 96])/2 - (773*f[7, 97])/8 - (773*f[7, 98])/8 + 
       (1539*f[7, 99])/16 + (2217*f[7, 100])/4 + (423*f[7, 101])/8 + 
       (309*f[7, 102])/16 + 27*f[7, 103] - (449*f[7, 104])/16 + 
       (1687*f[7, 105])/32 - (2173*f[7, 106])/8 + (585*f[7, 107])/2 - 
       (497*f[7, 108])/8 - (301*f[7, 109])/16 + (117*f[7, 110])/4 + 
       (2069*f[7, 111])/16 - (4955*f[7, 112])/32 + (191*f[7, 113])/32 - 
       (1067*f[7, 114])/32 + (1513*f[7, 115])/32 - (1819*f[7, 116])/32 + 
       (6567*f[7, 117])/4 + (1435*f[7, 118])/32 - (3245*f[7, 119])/16 - 
       (457*f[7, 120])/4 + (409*f[7, 121])/8 - (2657*f[7, 122])/16 - 
       (543*f[7, 123])/8 + (477*f[7, 124])/4 + (971*f[7, 125])/16 - 
       (3559*f[7, 126])/32 - (3*f[7, 133])/4 + f[7, 134] + f[7, 135]/8 - 
       (83*f[7, 136])/8 - (1649*f[7, 137])/16 - (5569*f[7, 138])/64 - 
       5*f[7, 145] - 17*f[7, 146] - (317*f[7, 147])/16 + (157*f[7, 148])/2 + 
       (13835*f[7, 149])/64 + (2441*f[7, 150])/48)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v] + (-9*f[7, 52] + 3*f[7, 53] - 5*f[7, 55] + 
       (37*f[7, 56])/16 - (187*f[7, 57])/32 + (3*f[7, 58])/2 - 
       (37*f[7, 59])/24 - (113*f[7, 60])/64 - (39*f[7, 61])/32 + 
       (215*f[7, 62])/24 + (215*f[7, 63])/24 - (215*f[7, 64])/24 + 
       (305*f[7, 65])/32 - (209*f[7, 66])/16 - (233*f[7, 67])/32 - 
       (209*f[7, 68])/8 - (209*f[7, 69])/8 + (329*f[7, 70])/32 - 
       (353*f[7, 71])/32 + (209*f[7, 72])/8 - (241*f[7, 73])/8 - 
       (209*f[7, 74])/8 - (239*f[7, 75])/48 + (2425*f[7, 76])/64 - 
       (2625*f[7, 77])/64 + (209*f[7, 78])/16 + (47*f[7, 79])/12 + 
       (569*f[7, 80])/48 + 95*f[7, 81] + (2707*f[7, 82])/48 + f[7, 83]/8 + 
       (367*f[7, 84])/48 - (5707*f[7, 85])/192 - (491*f[7, 86])/6 - 
       (100*f[7, 87])/3 + (293*f[7, 88])/48 - (439*f[7, 89])/48 + 
       (443*f[7, 90])/192 + (515*f[7, 91])/48 - (379*f[7, 92])/32 - 
       (2401*f[7, 93])/192 + (49*f[7, 94])/16 - (969*f[7, 95])/16 + 
       (883*f[7, 96])/32 + (287*f[7, 97])/96 - (97*f[7, 98])/96 - 
       (787*f[7, 99])/24 - (14771*f[7, 100])/48 - (4025*f[7, 101])/96 - 
       (287*f[7, 102])/24 + (37*f[7, 103])/6 + (1025*f[7, 104])/96 + 
       (989*f[7, 105])/48 + (1195*f[7, 106])/24 - (2359*f[7, 107])/12 + 
       (1021*f[7, 108])/48 - (15*f[7, 109])/4 + (457*f[7, 110])/64 - 
       (1159*f[7, 111])/48 + (543*f[7, 112])/16 + (82*f[7, 113])/3 + 
       (365*f[7, 114])/48 - (2725*f[7, 115])/192 + (79*f[7, 116])/48 - 
       (33011*f[7, 117])/48 + (1159*f[7, 118])/192 + (20347*f[7, 119])/192 + 
       (431*f[7, 120])/16 - (231*f[7, 121])/8 + (2465*f[7, 122])/48 + 
       (393*f[7, 123])/16 - (815*f[7, 124])/16 - (563*f[7, 125])/12 + 
       (605*f[7, 126])/24 + (69*f[7, 136])/2 - (1881*f[7, 137])/8 - 
       (6875*f[7, 138])/32 - 69*f[7, 146] + f[7, 147] - (647*f[7, 148])/2 - 
       (24439*f[7, 149])/32 - (23453*f[7, 150])/48)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v] + (-f[7, 62] - f[7, 63] + f[7, 64] - 
       7*f[7, 75] - f[7, 77] + 12*f[7, 81] - 3*f[7, 84] - f[7, 85] - 
       f[7, 86] - f[7, 87] - 3*f[7, 88] - 3*f[7, 89] - f[7, 90] - 
       4*f[7, 91] - f[7, 94] + 7*f[7, 95] - 2*f[7, 96] - 6*f[7, 97] - 
       6*f[7, 98] - f[7, 99] - 12*f[7, 100] - 4*f[7, 101] + 2*f[7, 102] + 
       3*f[7, 103] + 3*f[7, 104] - 16*f[7, 106] - 4*f[7, 107] - f[7, 109] + 
       f[7, 110] + f[7, 111] - 9*f[7, 112] - 3*f[7, 113] - f[7, 114] - 
       3*f[7, 115] - 9*f[7, 116] - 8*f[7, 117] + f[7, 118] + 5*f[7, 119] + 
       f[7, 120] + 5*f[7, 121] - 21*f[7, 122] - 7*f[7, 123] + 11*f[7, 124] + 
       7*f[7, 125] - 15*f[7, 126] - f[7, 138] + 32*f[7, 150])*
      HPL[{0, 0, 0, 0, 0, 1}, 1 - v] + (8*f[7, 15] - 4*f[7, 49] - 
       4*f[7, 52] + 8*f[7, 53] + 4*f[7, 54] + 8*f[7, 55] - 3*f[7, 56] + 
       (57*f[7, 57])/2 + 120*f[7, 58] + 18*f[7, 59] + (3*f[7, 60])/4 - 
       (51*f[7, 61])/2 - 65*f[7, 62] - 65*f[7, 63] + 65*f[7, 64] - 
       (331*f[7, 65])/2 + 171*f[7, 66] + (55*f[7, 67])/2 + 334*f[7, 68] + 
       334*f[7, 69] - (167*f[7, 70])/2 + (167*f[7, 71])/2 - 334*f[7, 72] + 
       330*f[7, 73] + 334*f[7, 74] - (31*f[7, 75])/2 - (1835*f[7, 76])/4 + 
       (1399*f[7, 77])/4 - 167*f[7, 78] + (339*f[7, 79])/2 + (9*f[7, 80])/2 + 
       186*f[7, 81] - 1069*f[7, 82] - 730*f[7, 83] - (309*f[7, 84])/2 + 
       (1565*f[7, 85])/4 + (2061*f[7, 86])/2 + (921*f[7, 87])/2 - 
       (273*f[7, 88])/2 + 122*f[7, 89] + (235*f[7, 90])/4 - 639*f[7, 91] + 
       469*f[7, 92] + (1371*f[7, 93])/4 - (317*f[7, 94])/2 + 
       (1457*f[7, 95])/2 - (421*f[7, 96])/2 - (467*f[7, 97])/2 - 
       (467*f[7, 98])/2 + (601*f[7, 99])/2 + 2763*f[7, 100] + 
       (635*f[7, 101])/2 + (951*f[7, 102])/2 - 13*f[7, 103] + 
       (597*f[7, 104])/2 + (95*f[7, 105])/2 - 1350*f[7, 106] + 
       1592*f[7, 107] - 428*f[7, 108] - 314*f[7, 109] + (307*f[7, 110])/4 + 
       280*f[7, 111] - 470*f[7, 112] - (433*f[7, 113])/2 - 
       (503*f[7, 114])/2 - (777*f[7, 115])/4 - (137*f[7, 116])/2 + 
       8155*f[7, 117] - (157*f[7, 118])/4 - (4499*f[7, 119])/4 - 
       515*f[7, 120] + 368*f[7, 121] - 902*f[7, 122] - 291*f[7, 123] + 
       663*f[7, 124] + 603*f[7, 125] - (863*f[7, 126])/2 + 80*f[7, 136] - 
       380*f[7, 137] - 372*f[7, 138] + 64*f[7, 146] - 12*f[7, 147] + 
       288*f[7, 148] + 746*f[7, 149] + 476*f[7, 150])*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - v] + (2*f[7, 3] + 4*f[7, 15] - 2*f[7, 49] - 
       2*f[7, 52] + 4*f[7, 53] + 2*f[7, 54] + 4*f[7, 55] - (7*f[7, 56])/2 + 
       (41*f[7, 57])/4 + 60*f[7, 58] + (19*f[7, 59])/3 + (3*f[7, 60])/8 - 
       (35*f[7, 61])/4 - (181*f[7, 62])/6 - (181*f[7, 63])/6 + 
       (181*f[7, 64])/6 - (267*f[7, 65])/4 + (139*f[7, 66])/2 + 
       (23*f[7, 67])/4 + 135*f[7, 68] + 135*f[7, 69] - (135*f[7, 70])/4 + 
       (135*f[7, 71])/4 - 135*f[7, 72] + 133*f[7, 73] + 135*f[7, 74] - 
       (125*f[7, 75])/12 - (1467*f[7, 76])/8 + (1147*f[7, 77])/8 - 
       (135*f[7, 78])/2 + (845*f[7, 79])/12 - (7*f[7, 80])/12 + 
       117*f[7, 81] - (2527*f[7, 82])/6 - 295*f[7, 83] - (737*f[7, 84])/12 + 
       (3631*f[7, 85])/24 + (4883*f[7, 86])/12 + (2159*f[7, 87])/12 - 
       (661*f[7, 88])/12 + (325*f[7, 89])/6 + (553*f[7, 90])/24 - 
       (1925*f[7, 91])/6 + 189*f[7, 92] + (3145*f[7, 93])/24 - 
       (353*f[7, 94])/4 + (1161*f[7, 95])/4 - (373*f[7, 96])/4 - 
       (1049*f[7, 97])/12 - (1049*f[7, 98])/12 + (1429*f[7, 99])/12 + 
       (6941*f[7, 100])/6 + (1583*f[7, 101])/12 + (2627*f[7, 102])/12 - 
       (40*f[7, 103])/3 + (1753*f[7, 104])/12 + (125*f[7, 105])/12 - 
       (1693*f[7, 106])/3 + (2006*f[7, 107])/3 - (566*f[7, 108])/3 - 
       144*f[7, 109] + (219*f[7, 110])/8 + (302*f[7, 111])/3 - 
       (359*f[7, 112])/2 - (1211*f[7, 113])/12 - (1333*f[7, 114])/12 - 
       (2315*f[7, 115])/24 - (209*f[7, 116])/12 + (20321*f[7, 117])/6 - 
       (691*f[7, 118])/24 - (11293*f[7, 119])/24 - (421*f[7, 120])/2 + 
       156*f[7, 121] - (2243*f[7, 122])/6 - (235*f[7, 123])/2 + 
       (551*f[7, 124])/2 + (790*f[7, 125])/3 - (2051*f[7, 126])/12 + 
       40*f[7, 136] - 206*f[7, 137] - 196*f[7, 138] + 32*f[7, 146] + 
       6*f[7, 147] + 68*f[7, 148] + 161*f[7, 149] + (403*f[7, 150])/3)*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - v] + (-24*f[7, 18] - 3*f[7, 29] + 
       6*f[7, 51] + 75*f[7, 52] - 12*f[7, 53] - 12*f[7, 54] - 
       (25*f[7, 56])/4 + (131*f[7, 57])/8 + 146*f[7, 58] + (25*f[7, 59])/6 + 
       (81*f[7, 60])/16 + (31*f[7, 61])/8 - (2411*f[7, 62])/24 - 
       (2411*f[7, 63])/24 + (2411*f[7, 64])/24 - (865*f[7, 65])/8 + 
       (425*f[7, 66])/4 - (111*f[7, 67])/8 + (473*f[7, 68])/2 + 
       (473*f[7, 69])/2 - (413*f[7, 70])/8 + (341*f[7, 71])/8 - 
       (473*f[7, 72])/2 + 277*f[7, 73] + (473*f[7, 74])/2 - 
       (833*f[7, 75])/24 - (4961*f[7, 76])/16 + (4389*f[7, 77])/16 - 
       (473*f[7, 78])/4 + (2513*f[7, 79])/24 - (917*f[7, 80])/12 + 
       (397*f[7, 81])/2 - (6505*f[7, 82])/12 - (331*f[7, 83])/2 - 
       (2027*f[7, 84])/24 + (9673*f[7, 85])/48 + (15191*f[7, 86])/24 + 
       (6059*f[7, 87])/24 - (1927*f[7, 88])/24 + (3275*f[7, 89])/24 + 
       (499*f[7, 90])/48 - (11873*f[7, 91])/12 + (2623*f[7, 92])/8 + 
       (3733*f[7, 93])/48 - 155*f[7, 94] + (3863*f[7, 95])/8 - 
       (2153*f[7, 96])/8 - (473*f[7, 97])/24 + (103*f[7, 98])/24 + 
       (569*f[7, 99])/3 + (29753*f[7, 100])/12 + (7025*f[7, 101])/24 + 
       (9455*f[7, 102])/24 - (3715*f[7, 103])/24 + (3719*f[7, 104])/12 - 
       (4771*f[7, 105])/24 - (2528*f[7, 106])/3 + (9587*f[7, 107])/6 - 
       (10871*f[7, 108])/24 - (2245*f[7, 109])/8 - (1367*f[7, 110])/16 - 
       (37*f[7, 111])/24 - (1697*f[7, 112])/8 - (4003*f[7, 113])/12 - 
       (5395*f[7, 114])/24 - (10643*f[7, 115])/48 + (1735*f[7, 116])/24 + 
       (80633*f[7, 117])/12 - (9193*f[7, 118])/48 - (49813*f[7, 119])/48 - 
       (2781*f[7, 120])/8 + (3031*f[7, 121])/8 - (16015*f[7, 122])/24 - 
       (2359*f[7, 123])/8 + (2659*f[7, 124])/4 + (17179*f[7, 125])/24 - 
       (2611*f[7, 126])/12 + (51*f[7, 136])/2 - (437*f[7, 137])/2 - 
       (1665*f[7, 138])/8 + 232*f[7, 146] + 89*f[7, 147] + 361*f[7, 148] + 
       (5241*f[7, 149])/8 + (7709*f[7, 150])/12)*HPL[{0, 0, 0, 1, 1, 1}, 
       1 - v] + (f[7, 2] - 8*f[7, 18] - f[7, 29] + 2*f[7, 51] + 37*f[7, 52] - 
       8*f[7, 53] - 5*f[7, 54] - (23*f[7, 56])/4 + (61*f[7, 57])/8 + 
       66*f[7, 58] + (23*f[7, 59])/6 + (15*f[7, 60])/16 - (31*f[7, 61])/8 - 
       (1189*f[7, 62])/24 - (1189*f[7, 63])/24 + (1189*f[7, 64])/24 - 
       (463*f[7, 65])/8 + (219*f[7, 66])/4 - (25*f[7, 67])/8 + 
       (239*f[7, 68])/2 + (239*f[7, 69])/2 - (219*f[7, 70])/8 + 
       (195*f[7, 71])/8 - (239*f[7, 72])/2 + 139*f[7, 73] + 
       (239*f[7, 74])/2 - (289*f[7, 75])/24 - (2543*f[7, 76])/16 + 
       (2171*f[7, 77])/16 - (239*f[7, 78])/4 + (1195*f[7, 79])/24 - 
       (457*f[7, 80])/12 + (145*f[7, 81])/2 - (3371*f[7, 82])/12 - 
       (147*f[7, 83])/2 - (1015*f[7, 84])/24 + (5099*f[7, 85])/48 + 
       (7867*f[7, 86])/24 + (3175*f[7, 87])/24 - (923*f[7, 88])/24 + 
       (1585*f[7, 89])/24 + (137*f[7, 90])/48 - (5407*f[7, 91])/12 + 
       (1319*f[7, 92])/8 + (2111*f[7, 93])/48 - (255*f[7, 94])/4 + 
       (1971*f[7, 95])/8 - (1039*f[7, 96])/8 - (391*f[7, 97])/24 - 
       (103*f[7, 98])/24 + (298*f[7, 99])/3 + (14431*f[7, 100])/12 + 
       (3391*f[7, 101])/24 + (4363*f[7, 102])/24 - (1625*f[7, 103])/24 + 
       (406*f[7, 104])/3 - (2243*f[7, 105])/24 - (1237*f[7, 106])/3 + 
       (4645*f[7, 107])/6 - (5173*f[7, 108])/24 - (1027*f[7, 109])/8 - 
       (617*f[7, 110])/16 + (289*f[7, 111])/24 - (891*f[7, 112])/8 - 
       (491*f[7, 113])/3 - (2597*f[7, 114])/24 - (4801*f[7, 115])/48 + 
       (767*f[7, 116])/24 + (39655*f[7, 117])/12 - (4067*f[7, 118])/48 - 
       (24419*f[7, 119])/48 - (1383*f[7, 120])/8 + (1445*f[7, 121])/8 - 
       (7733*f[7, 122])/24 - (1127*f[7, 123])/8 + (635*f[7, 124])/2 + 
       (8081*f[7, 125])/24 - (1295*f[7, 126])/12 + (33*f[7, 136])/2 - 
       (217*f[7, 137])/2 - (885*f[7, 138])/8 + 96*f[7, 146] + 35*f[7, 147] + 
       176*f[7, 148] + (2681*f[7, 149])/8 + (3559*f[7, 150])/12)*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - v] + (2*f[7, 51] + 12*f[7, 52] - 
       4*f[7, 53] - f[7, 54] - (3*f[7, 56])/2 - (3*f[7, 57])/4 + 
       18*f[7, 58] + f[7, 59] - (9*f[7, 60])/8 - (15*f[7, 61])/4 - 
       (121*f[7, 62])/8 - (121*f[7, 63])/8 + (121*f[7, 64])/8 - 
       (51*f[7, 65])/4 + (19*f[7, 66])/2 - (11*f[7, 67])/4 + 21*f[7, 68] + 
       21*f[7, 69] - (17*f[7, 70])/4 + (13*f[7, 71])/4 - 21*f[7, 72] + 
       27*f[7, 73] + 21*f[7, 74] - 4*f[7, 75] - (219*f[7, 76])/8 + 
       (183*f[7, 77])/8 - (21*f[7, 78])/2 + (11*f[7, 79])/2 - 
       (65*f[7, 80])/4 + 22*f[7, 81] - (59*f[7, 82])/2 + 24*f[7, 83] - 
       (21*f[7, 84])/4 + (91*f[7, 85])/8 + 50*f[7, 86] + 17*f[7, 87] - 
       (17*f[7, 88])/4 + (125*f[7, 89])/8 - (41*f[7, 90])/8 - 124*f[7, 91] + 
       (107*f[7, 92])/4 - (43*f[7, 93])/8 - 20*f[7, 94] + (167*f[7, 95])/4 - 
       33*f[7, 96] + (19*f[7, 97])/2 + (27*f[7, 98])/2 + (127*f[7, 99])/8 + 
       (473*f[7, 100])/2 + (223*f[7, 101])/8 + (311*f[7, 102])/8 - 
       22*f[7, 103] + (253*f[7, 104])/8 - (75*f[7, 105])/2 - 
       (121*f[7, 106])/2 + (317*f[7, 107])/2 - (375*f[7, 108])/8 - 
       (183*f[7, 109])/8 - (33*f[7, 110])/2 - (105*f[7, 111])/8 - 
       (69*f[7, 112])/8 - (417*f[7, 113])/8 - (91*f[7, 114])/4 - 
       (191*f[7, 115])/8 + 16*f[7, 116] + 630*f[7, 117] - 28*f[7, 118] - 
       (843*f[7, 119])/8 - (225*f[7, 120])/8 + (317*f[7, 121])/8 - 
       (457*f[7, 122])/8 - (215*f[7, 123])/8 + 65*f[7, 124] + 
       (631*f[7, 125])/8 - (95*f[7, 126])/8 + (3*f[7, 137])/2 - 
       (29*f[7, 138])/8 + 36*f[7, 146] + 18*f[7, 147] + 69*f[7, 148] + 
       (879*f[7, 149])/8 + (439*f[7, 150])/4)*HPL[{0, 0, 1, 1, 0, 1}, 
       1 - v] + (50*f[7, 52] - 16*f[7, 53] + 10*f[7, 55] - (47*f[7, 56])/4 + 
       (169*f[7, 57])/8 + 136*f[7, 58] + (47*f[7, 59])/6 + (75*f[7, 60])/16 - 
       (19*f[7, 61])/8 - (341*f[7, 62])/3 - (341*f[7, 63])/3 + 
       (341*f[7, 64])/3 - (955*f[7, 65])/8 + (515*f[7, 66])/4 - 
       (45*f[7, 67])/8 + (515*f[7, 68])/2 + (515*f[7, 69])/2 - 
       (587*f[7, 70])/8 + (603*f[7, 71])/8 - (515*f[7, 72])/2 + 
       (569*f[7, 73])/2 + (515*f[7, 74])/2 - (125*f[7, 75])/3 - 
       (5507*f[7, 76])/16 + (5491*f[7, 77])/16 - (515*f[7, 78])/4 + 
       (899*f[7, 79])/12 - (277*f[7, 80])/3 + 43*f[7, 81] - 
       (6881*f[7, 82])/12 - (177*f[7, 83])/2 - (287*f[7, 84])/3 + 
       (10781*f[7, 85])/48 + (8441*f[7, 86])/12 + (3341*f[7, 87])/12 - 
       (527*f[7, 88])/6 + (1595*f[7, 89])/12 - (157*f[7, 90])/48 - 
       (11353*f[7, 91])/12 + (2363*f[7, 92])/8 + (4271*f[7, 93])/48 - 
       235*f[7, 94] + 556*f[7, 95] - (2393*f[7, 96])/8 - (397*f[7, 97])/24 - 
       (13*f[7, 98])/24 + (2797*f[7, 99])/12 + (33097*f[7, 100])/12 + 
       (8467*f[7, 101])/24 + (5333*f[7, 102])/12 - (331*f[7, 103])/3 + 
       (6545*f[7, 104])/24 - (565*f[7, 105])/3 - (5501*f[7, 106])/6 + 
       (5309*f[7, 107])/3 - (4979*f[7, 108])/12 - 232*f[7, 109] - 
       (1055*f[7, 110])/16 + (971*f[7, 111])/12 - (1059*f[7, 112])/4 - 
       (4643*f[7, 113])/12 - (1283*f[7, 114])/6 - (9181*f[7, 115])/48 + 
       (136*f[7, 116])/3 + (88153*f[7, 117])/12 - (7985*f[7, 118])/48 - 
       (53441*f[7, 119])/48 - (1421*f[7, 120])/4 + (757*f[7, 121])/2 - 
       (8779*f[7, 122])/12 - (1007*f[7, 123])/4 + (2477*f[7, 124])/4 + 
       (4169*f[7, 125])/6 - (3389*f[7, 126])/12 - 93*f[7, 136] + 
       (1227*f[7, 137])/2 + (4509*f[7, 138])/8 + 468*f[7, 146] + 
       124*f[7, 147] + (2797*f[7, 148])/2 + (23741*f[7, 149])/8 + 
       (27133*f[7, 150])/12)*HPL[{0, 0, 1, 1, 1, 1}, 1 - v] + 
     (9*f[7, 52] - 3*f[7, 53] + 5*f[7, 55] - (79*f[7, 56])/16 + 
       (241*f[7, 57])/32 + (69*f[7, 58])/2 + (79*f[7, 59])/24 + 
       (83*f[7, 60])/64 - (75*f[7, 61])/32 - (695*f[7, 62])/24 - 
       (695*f[7, 63])/24 + (695*f[7, 64])/24 - (1187*f[7, 65])/32 + 
       (635*f[7, 66])/16 + (83*f[7, 67])/32 + (635*f[7, 68])/8 + 
       (635*f[7, 69])/8 - (755*f[7, 70])/32 + (779*f[7, 71])/32 - 
       (635*f[7, 72])/8 + (667*f[7, 73])/8 + (635*f[7, 74])/8 - 
       (22*f[7, 75])/3 - (6907*f[7, 76])/64 + (6771*f[7, 77])/64 - 
       (635*f[7, 78])/16 + (1123*f[7, 79])/48 - (475*f[7, 80])/24 - 
       (29*f[7, 81])/4 - (9445*f[7, 82])/48 - (607*f[7, 83])/8 - 
       (185*f[7, 84])/6 + (14965*f[7, 85])/192 + (10945*f[7, 86])/48 + 
       (4513*f[7, 87])/48 - (661*f[7, 88])/24 + (1741*f[7, 89])/48 + 
       (427*f[7, 90])/192 - (10841*f[7, 91])/48 + (2755*f[7, 92])/32 + 
       (8815*f[7, 93])/192 - (545*f[7, 94])/8 + (693*f[7, 95])/4 - 
       (2545*f[7, 96])/32 - (1901*f[7, 97])/96 - (1517*f[7, 98])/96 + 
       (3611*f[7, 99])/48 + (39569*f[7, 100])/48 + (10031*f[7, 101])/96 + 
       (6151*f[7, 102])/48 - (469*f[7, 103])/24 + (6937*f[7, 104])/96 - 
       (437*f[7, 105])/12 - (6853*f[7, 106])/24 + (6109*f[7, 107])/12 - 
       (5473*f[7, 108])/48 - (543*f[7, 109])/8 - (535*f[7, 110])/64 + 
       (2209*f[7, 111])/48 - (1473*f[7, 112])/16 - (4585*f[7, 113])/48 - 
       (1489*f[7, 114])/24 - (8861*f[7, 115])/192 + (11*f[7, 116])/3 + 
       (104537*f[7, 117])/48 - (6745*f[7, 118])/192 - (61393*f[7, 119])/192 - 
       (1763*f[7, 120])/16 + (417*f[7, 121])/4 - (10397*f[7, 122])/48 - 
       (1125*f[7, 123])/16 + (2753*f[7, 124])/16 + (2213*f[7, 125])/12 - 
       (4447*f[7, 126])/48 - (39*f[7, 136])/2 + (1203*f[7, 137])/8 + 
       (4373*f[7, 138])/32 + 111*f[7, 146] + (43*f[7, 147])/2 + 
       (2951*f[7, 148])/8 + (26053*f[7, 149])/32 + (28505*f[7, 150])/48)*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - v] + (7*f[7, 53] + (11*f[7, 62])/4 + 
       (11*f[7, 63])/4 - (11*f[7, 64])/4 - (11*f[7, 75])/4 + 
       (11*f[7, 79])/4 + (11*f[7, 80])/4 + 22*f[7, 81] - (17*f[7, 82])/2 - 
       22*f[7, 83] - (11*f[7, 84])/4 + (11*f[7, 85])/4 + (11*f[7, 86])/4 + 
       (11*f[7, 87])/4 - (11*f[7, 88])/4 - (11*f[7, 89])/4 + 
       (11*f[7, 90])/4 + 11*f[7, 91] + (11*f[7, 92])/4 + (33*f[7, 93])/4 - 
       (11*f[7, 94])/4 + (11*f[7, 95])/4 + (11*f[7, 96])/2 - 
       (19*f[7, 97])/2 - (33*f[7, 98])/2 - 22*f[7, 100] - (11*f[7, 101])/4 + 
       (11*f[7, 103])/2 + (11*f[7, 104])/4 + (33*f[7, 105])/4 - 
       11*f[7, 106] - 11*f[7, 107] + (11*f[7, 108])/4 + (11*f[7, 109])/4 + 
       (11*f[7, 110])/2 + (11*f[7, 111])/4 - (33*f[7, 112])/4 + 
       (11*f[7, 113])/2 + (11*f[7, 114])/4 - (11*f[7, 115])/4 - 
       (33*f[7, 116])/4 - 11*f[7, 117] + (11*f[7, 118])/2 + 
       (11*f[7, 119])/2 - (11*f[7, 120])/4 + (11*f[7, 121])/4 - 
       (55*f[7, 122])/4 - (11*f[7, 123])/4 + (11*f[7, 124])/2 + 
       (11*f[7, 125])/4 - 11*f[7, 126] + 11*f[7, 150])*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - v] + ((3*f[7, 136])/4 - (11*f[7, 137])/4 - 
       (39*f[7, 138])/16 - (3*f[7, 146])/2 - f[7, 147]/2 - 
       (53*f[7, 148])/16 - (113*f[7, 149])/16 - (17*f[7, 150])/3)*
      HPL[{1}, 1 - u]*SP5[34] + (f[7, 21]/4 - (4*f[7, 26])/15 - 
       (7*f[7, 27])/30 + (2*f[7, 28])/15 + (29*f[7, 30])/96 - 
       (23*f[7, 31])/30 + (4*f[7, 32])/15 - f[7, 33]/5 - (4*f[7, 35])/15 - 
       (2*f[7, 36])/15 - f[7, 37]/240 - (16*f[7, 38])/15 - (2*f[7, 39])/15 - 
       (2*f[7, 40])/5 + f[7, 41]/15 + f[7, 42]/15 + (2*f[7, 43])/5 + 
       (4*f[7, 44])/5 + (13*f[7, 45])/60 + (23*f[7, 46])/60 - 
       (7*f[7, 47])/80 - f[7, 48]/15 + (317*f[7, 49])/480 - f[7, 50]/2 + 
       (19*f[7, 51])/480 + f[7, 52]/2 - (139*f[7, 53])/240 - f[7, 54]/48 + 
       (53*f[7, 55])/48 + (3689*f[7, 56])/1920 + (301*f[7, 57])/768 - 
       (1369*f[7, 58])/240 - (11*f[7, 59])/720 + (13427*f[7, 60])/7680 + 
       (2945*f[7, 61])/768 + (5857*f[7, 62])/2880 + (5857*f[7, 63])/2880 - 
       (5857*f[7, 64])/2880 + (68581*f[7, 65])/3840 - (33977*f[7, 66])/1920 - 
       (24137*f[7, 67])/3840 - (33091*f[7, 68])/960 - (11019*f[7, 69])/320 + 
       (9963*f[7, 70])/1280 - (6029*f[7, 71])/768 + (11241*f[7, 72])/320 - 
       (10899*f[7, 73])/320 - (33307*f[7, 74])/960 - (10739*f[7, 75])/11520 + 
       (73489*f[7, 76])/1536 - (212053*f[7, 77])/7680 + (2055*f[7, 78])/128 - 
       (223321*f[7, 79])/11520 - (56581*f[7, 80])/11520 - (349*f[7, 81])/16 + 
       (734069*f[7, 82])/5760 + (5963*f[7, 83])/64 + (185359*f[7, 84])/
        11520 - (1068629*f[7, 85])/23040 - (1309111*f[7, 86])/11520 - 
       (613411*f[7, 87])/11520 + (34159*f[7, 88])/2304 - 
       (54797*f[7, 89])/5760 - (128411*f[7, 90])/23040 + 
       (36035*f[7, 91])/1152 - (102871*f[7, 92])/1920 - 
       (1064051*f[7, 93])/23040 + (3617*f[7, 94])/1280 - 
       (290089*f[7, 95])/3840 + (37031*f[7, 96])/3840 + 
       (85223*f[7, 97])/2304 + (422179*f[7, 98])/11520 - 
       (71119*f[7, 99])/2304 - (250355*f[7, 100])/1152 - 
       (229873*f[7, 101])/11520 - (420961*f[7, 102])/11520 - 
       (22267*f[7, 103])/2880 - (47653*f[7, 104])/2304 - 
       (194551*f[7, 105])/11520 + (204967*f[7, 106])/1440 - 
       (161207*f[7, 107])/1440 + (21377*f[7, 108])/576 + 
       (52237*f[7, 109])/1920 - (122173*f[7, 110])/7680 - 
       (221831*f[7, 111])/5760 + (104879*f[7, 112])/1920 + 
       (114379*f[7, 113])/11520 + (253751*f[7, 114])/11520 + 
       (310837*f[7, 115])/23040 + (32291*f[7, 116])/2304 - 
       (4174183*f[7, 117])/5760 - (147619*f[7, 118])/23040 + 
       (2127947*f[7, 119])/23040 + (6735*f[7, 120])/128 - 
       (60203*f[7, 121])/1920 + (63341*f[7, 122])/720 + (1747*f[7, 123])/60 - 
       (116147*f[7, 124])/1920 - (133799*f[7, 125])/2880 + 
       (547783*f[7, 126])/11520 - f[7, 132]/20 + f[7, 134]/20 - 
       (9*f[7, 135])/40 + (419*f[7, 136])/240 - (557*f[7, 137])/40 - 
       (12217*f[7, 138])/960 + (19*f[7, 144])/30 + (11*f[7, 145])/12 - 
       (1937*f[7, 146])/120 - (1817*f[7, 147])/960 - (167447*f[7, 148])/
        1920 - (34753*f[7, 149])/160 - (329291*f[7, 150])/2880)*
      HPL[{1}, 1 - u]^4*SPw2f1[u, v] + ((-3*f[7, 26])/10 - f[7, 27]/5 + 
       (3*f[7, 28])/20 + f[7, 30]/16 - (4*f[7, 31])/5 + (3*f[7, 32])/10 - 
       (43*f[7, 33])/30 - (3*f[7, 35])/10 - (3*f[7, 36])/20 - f[7, 37]/80 - 
       (41*f[7, 38])/30 - (3*f[7, 39])/20 - (9*f[7, 40])/20 + 
       (3*f[7, 41])/40 + (3*f[7, 42])/40 + (9*f[7, 43])/20 + 
       (9*f[7, 44])/10 + (2*f[7, 45])/5 + (9*f[7, 46])/10 - f[7, 47]/80 + 
       f[7, 48]/20 + (117*f[7, 49])/160 - (37*f[7, 50])/48 + 
       (19*f[7, 51])/160 + (3*f[7, 52])/4 - (29*f[7, 53])/30 + f[7, 54]/16 + 
       (5*f[7, 55])/48 + (1409*f[7, 56])/640 + (21*f[7, 57])/256 - 
       (689*f[7, 58])/80 + (4*f[7, 59])/15 + (4587*f[7, 60])/2560 + 
       (1097*f[7, 61])/256 + (2203*f[7, 62])/640 + (2203*f[7, 63])/640 - 
       (2203*f[7, 64])/640 + (81463*f[7, 65])/3840 - (12497*f[7, 66])/640 - 
       (6977*f[7, 67])/1280 - (34543*f[7, 68])/960 - (34811*f[7, 69])/960 + 
       (30067*f[7, 70])/3840 - (6071*f[7, 71])/768 + (11383*f[7, 72])/320 - 
       (11217*f[7, 73])/320 - (11387*f[7, 74])/320 + (1157*f[7, 75])/1280 + 
       (74771*f[7, 76])/1536 - (238759*f[7, 77])/7680 + (6439*f[7, 78])/384 - 
       (28047*f[7, 79])/1280 - (8007*f[7, 80])/1280 - (3781*f[7, 81])/96 + 
       (252809*f[7, 82])/1920 + (20105*f[7, 83])/192 + 
       (22833*f[7, 84])/1280 - (360529*f[7, 85])/7680 - 
       (443161*f[7, 86])/3840 - (204301*f[7, 87])/3840 + 
       (12419*f[7, 88])/768 - (11111*f[7, 89])/960 - (21377*f[7, 90])/2560 + 
       (4893*f[7, 91])/128 - (54199*f[7, 92])/960 - (121597*f[7, 93])/2560 + 
       (30773*f[7, 94])/3840 - (303667*f[7, 95])/3840 + 
       (54793*f[7, 96])/3840 + (28363*f[7, 97])/768 + 
       (140279*f[7, 98])/3840 - (8297*f[7, 99])/256 - (30897*f[7, 100])/128 - 
       (91603*f[7, 101])/3840 - (173281*f[7, 102])/3840 - 
       (6217*f[7, 103])/960 - (21631*f[7, 104])/768 - 
       (63791*f[7, 105])/3840 + (9659*f[7, 106])/60 - (31381*f[7, 107])/240 + 
       (16679*f[7, 108])/384 + (5763*f[7, 109])/160 - 
       (125279*f[7, 110])/7680 - (12331*f[7, 111])/320 + 
       (35829*f[7, 112])/640 + (41509*f[7, 113])/3840 + 
       (100391*f[7, 114])/3840 + (166757*f[7, 115])/7680 + 
       (3029*f[7, 116])/256 - (1548763*f[7, 117])/1920 - 
       (10053*f[7, 118])/2560 + (267929*f[7, 119])/2560 + 
       (2821*f[7, 120])/48 - (5777*f[7, 121])/160 + (63001*f[7, 122])/640 + 
       (20509*f[7, 123])/640 - (43657*f[7, 124])/640 - 
       (107143*f[7, 125])/1920 + (64411*f[7, 126])/1280 - (5*f[7, 136])/4 - 
       (257*f[7, 137])/96 - (357*f[7, 138])/64 + (3*f[7, 144])/5 + 
       f[7, 145]/2 - (299*f[7, 146])/20 - (2509*f[7, 147])/960 - 
       (12737*f[7, 148])/160 - (121989*f[7, 149])/640 - 
       (210913*f[7, 150])/1920)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      SPw2f1[u, v] + (-f[7, 132]/10 + f[7, 134]/10 + f[7, 135]/20 + 
       (121*f[7, 136])/80 - (6137*f[7, 137])/320 - (21017*f[7, 138])/1280 + 
       f[7, 144]/5 - (267*f[7, 146])/80 - (21*f[7, 147])/20 - 
       (6743*f[7, 148])/320 - (66121*f[7, 149])/1280 - 
       (49651*f[7, 150])/1920)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      SPw2f1[u, v] + (7*f[7, 150]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
       SPw2f1[u, v])/24 + (-f[7, 22]/4 - f[7, 24]/2 + f[7, 26]/5 - 
       f[7, 27]/5 - f[7, 28]/10 + f[7, 31]/5 - f[7, 32]/5 - (3*f[7, 33])/5 + 
       f[7, 34]/8 + f[7, 35]/5 - (2*f[7, 36])/5 + f[7, 37]/20 + 
       (4*f[7, 38])/5 + f[7, 39]/10 + (3*f[7, 40])/10 - (11*f[7, 41])/20 - 
       (11*f[7, 42])/20 - (9*f[7, 43])/5 - (21*f[7, 44])/10 - 
       (37*f[7, 45])/20 - (37*f[7, 46])/20 - (7*f[7, 47])/10 + 
       (59*f[7, 48])/80 - (79*f[7, 49])/80 + (19*f[7, 50])/8 - 
       (93*f[7, 51])/80 - (5*f[7, 52])/8 + (11*f[7, 53])/5 - 
       (35*f[7, 54])/16 + (9*f[7, 55])/2 - (1603*f[7, 56])/320 + 
       (619*f[7, 57])/128 + (1059*f[7, 58])/20 + (353*f[7, 59])/480 - 
       (1019*f[7, 60])/1280 - (513*f[7, 61])/128 - (53791*f[7, 62])/1920 - 
       (53791*f[7, 63])/1920 + (53791*f[7, 64])/1920 - (33637*f[7, 65])/640 + 
       (16389*f[7, 66])/320 - (1811*f[7, 67])/640 + (15557*f[7, 68])/160 + 
       (15629*f[7, 69])/160 - (14213*f[7, 70])/640 + (2753*f[7, 71])/128 - 
       (15031*f[7, 72])/160 + (15289*f[7, 73])/160 + (15219*f[7, 74])/160 - 
       (42727*f[7, 75])/1920 - (32209*f[7, 76])/256 + 
       (142821*f[7, 77])/1280 - (3085*f[7, 78])/64 + (113437*f[7, 79])/1920 + 
       (2227*f[7, 80])/1920 + (5551*f[7, 81])/32 - (266153*f[7, 82])/960 - 
       (6851*f[7, 83])/32 - (90643*f[7, 84])/1920 + (370433*f[7, 85])/3840 + 
       (510937*f[7, 86])/1920 + (217717*f[7, 87])/1920 - 
       (16627*f[7, 88])/384 + (90613*f[7, 89])/1920 + (88547*f[7, 90])/3840 - 
       (50825*f[7, 91])/192 + (43967*f[7, 92])/320 + (311867*f[7, 93])/3840 - 
       (53837*f[7, 94])/640 + (129893*f[7, 95])/640 - (55437*f[7, 96])/640 - 
       (23393*f[7, 97])/384 - (115333*f[7, 98])/1920 + (3725*f[7, 99])/48 + 
       (169091*f[7, 100])/192 + (99863*f[7, 101])/960 + 
       (174341*f[7, 102])/960 - (5981*f[7, 103])/480 + 
       (25637*f[7, 104])/192 - (8903*f[7, 105])/1920 - (27421*f[7, 106])/60 + 
       (251113*f[7, 107])/480 - (61289*f[7, 108])/384 - 
       (87133*f[7, 109])/640 + (14411*f[7, 110])/1280 + 
       (108259*f[7, 111])/1920 - (76331*f[7, 112])/640 - 
       (40177*f[7, 113])/480 - (179837*f[7, 114])/1920 - 
       (427549*f[7, 115])/3840 + (415*f[7, 116])/384 + 
       (2538181*f[7, 117])/960 - (123887*f[7, 118])/3840 - 
       (1428119*f[7, 119])/3840 - (21273*f[7, 120])/128 + 
       (83227*f[7, 121])/640 - (578027*f[7, 122])/1920 - 
       (60141*f[7, 123])/640 + (17971*f[7, 124])/80 + 
       (440117*f[7, 125])/1920 - (60829*f[7, 126])/480 - f[7, 132]/10 - 
       f[7, 133]/4 + (27*f[7, 134])/20 + f[7, 135]/20 + (503*f[7, 136])/40 - 
       (4473*f[7, 137])/80 - (7329*f[7, 138])/160 + (9*f[7, 144])/5 + 
       f[7, 145] + (397*f[7, 146])/5 + (1197*f[7, 147])/40 + 
       (50203*f[7, 148])/320 + (28561*f[7, 149])/80 + (103221*f[7, 150])/320)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*SPw2f1[u, v] + 
     (f[7, 22]/8 - f[7, 45]/2 - f[7, 46]/2 + f[7, 47]/4 + (7*f[7, 48])/8 + 
       f[7, 49]/8 - f[7, 50] - f[7, 51]/8 + (3*f[7, 52])/4 - (5*f[7, 53])/4 - 
       (5*f[7, 54])/8 - (9*f[7, 55])/4 - (5*f[7, 56])/16 - (47*f[7, 57])/16 - 
       (81*f[7, 58])/4 + 2*f[7, 59] - (29*f[7, 60])/32 - f[7, 61]/16 + 
       (533*f[7, 62])/64 + (533*f[7, 63])/64 - (533*f[7, 64])/64 + 
       (147*f[7, 65])/16 - (89*f[7, 66])/8 + (79*f[7, 67])/16 - 
       (139*f[7, 68])/8 - (73*f[7, 69])/4 + (69*f[7, 70])/16 - 
       (67*f[7, 71])/16 + (135*f[7, 72])/8 - (151*f[7, 73])/8 - 
       (143*f[7, 74])/8 + (603*f[7, 75])/64 + (85*f[7, 76])/4 - 
       (339*f[7, 77])/16 + (161*f[7, 78])/16 - (107*f[7, 79])/8 + 
       (117*f[7, 80])/32 - (1157*f[7, 81])/16 + (701*f[7, 82])/16 + 
       (577*f[7, 83])/16 + (75*f[7, 84])/8 - (805*f[7, 85])/64 - 
       (2529*f[7, 86])/64 - (941*f[7, 87])/64 + (67*f[7, 88])/8 - 
       (739*f[7, 89])/64 - (113*f[7, 90])/16 + (1519*f[7, 91])/16 - 
       (1769*f[7, 92])/64 - (497*f[7, 93])/64 + (1071*f[7, 94])/32 - 
       (567*f[7, 95])/16 + (745*f[7, 96])/32 + (127*f[7, 97])/32 + 
       (143*f[7, 98])/32 - (333*f[7, 99])/32 - (761*f[7, 100])/4 - 
       (1465*f[7, 101])/64 - (867*f[7, 102])/16 + (133*f[7, 103])/16 - 
       (2881*f[7, 104])/64 + (199*f[7, 105])/32 + (1621*f[7, 106])/16 - 
       (1759*f[7, 107])/16 + (2355*f[7, 108])/64 + (2165*f[7, 109])/64 - 
       (57*f[7, 110])/16 - (51*f[7, 111])/64 + (507*f[7, 112])/32 + 
       (1799*f[7, 113])/64 + (697*f[7, 114])/32 + (1131*f[7, 115])/32 - 
       (195*f[7, 116])/32 - (8791*f[7, 117])/16 + (1003*f[7, 118])/64 + 
       80*f[7, 119] + (2107*f[7, 120])/64 - (1977*f[7, 121])/64 + 
       (4279*f[7, 122])/64 + (1157*f[7, 123])/64 - (1547*f[7, 124])/32 - 
       (3695*f[7, 125])/64 + (1607*f[7, 126])/64 - f[7, 133]/8 + 
       f[7, 134]/2 + (11*f[7, 135])/16 - (255*f[7, 136])/16 + 
       (2083*f[7, 137])/32 + (7879*f[7, 138])/128 - (3*f[7, 145])/2 - 
       (13*f[7, 146])/2 - (203*f[7, 147])/32 + (247*f[7, 148])/8 + 
       (10527*f[7, 149])/128 + (349*f[7, 150])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*SPw2f1[u, v] + 
     ((-9*f[7, 136])/8 + (3*f[7, 137])/2 + (71*f[7, 138])/32 + 
       (9*f[7, 146])/4 + (9*f[7, 147])/8 + (23*f[7, 148])/8 + 
       (31*f[7, 149])/8 + (671*f[7, 150])/96)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*SPw2f1[u, v] + ((4*f[7, 26])/5 + (6*f[7, 27])/5 - 
       (2*f[7, 28])/5 - f[7, 30]/2 + (4*f[7, 31])/5 - (4*f[7, 32])/5 - 
       (12*f[7, 33])/5 - f[7, 34] + (4*f[7, 35])/5 + (7*f[7, 36])/5 - 
       f[7, 37]/20 + (16*f[7, 38])/5 + (7*f[7, 39])/5 + (6*f[7, 40])/5 - 
       (7*f[7, 41])/10 - (7*f[7, 42])/10 - (11*f[7, 43])/5 - 
       (22*f[7, 44])/5 + (3*f[7, 45])/5 - (7*f[7, 46])/5 - f[7, 47]/20 + 
       (6*f[7, 48])/5 - (153*f[7, 49])/40 - f[7, 51]/40 - (11*f[7, 52])/2 + 
       (21*f[7, 53])/20 - f[7, 54]/4 - 5*f[7, 55] - (911*f[7, 56])/160 - 
       (115*f[7, 57])/64 + (501*f[7, 58])/20 + (283*f[7, 59])/120 - 
       (3053*f[7, 60])/640 - (671*f[7, 61])/64 - (749*f[7, 62])/120 - 
       (749*f[7, 63])/120 + (749*f[7, 64])/120 - (18939*f[7, 65])/320 + 
       (9303*f[7, 66])/160 + (5943*f[7, 67])/320 + (8979*f[7, 68])/80 + 
       (9023*f[7, 69])/80 - (7991*f[7, 70])/320 + (1611*f[7, 71])/64 - 
       (9247*f[7, 72])/80 + (9013*f[7, 73])/80 + (8963*f[7, 74])/80 + 
       (307*f[7, 75])/120 - (20363*f[7, 76])/128 + (59867*f[7, 77])/640 - 
       (1715*f[7, 78])/32 + (31937*f[7, 79])/480 + (9257*f[7, 80])/480 + 
       (1505*f[7, 81])/16 - (199061*f[7, 82])/480 - (4769*f[7, 83])/16 - 
       (12709*f[7, 84])/240 + (285821*f[7, 85])/1920 + 
       (179027*f[7, 86])/480 + (83987*f[7, 87])/480 - (1199*f[7, 88])/24 + 
       (15353*f[7, 89])/480 + (46859*f[7, 90])/1920 - (10733*f[7, 91])/96 + 
       (57843*f[7, 92])/320 + (277079*f[7, 93])/1920 - (339*f[7, 94])/20 + 
       (19659*f[7, 95])/80 - (11309*f[7, 96])/320 - (21749*f[7, 97])/192 - 
       (107401*f[7, 98])/960 + (9761*f[7, 99])/96 + (70361*f[7, 100])/96 + 
       (67177*f[7, 101])/960 + (60677*f[7, 102])/480 + 
       (10451*f[7, 103])/480 + (14431*f[7, 104])/192 + 
       (13921*f[7, 105])/240 - (58513*f[7, 106])/120 + 
       (46523*f[7, 107])/120 - (12535*f[7, 108])/96 - (8239*f[7, 109])/80 + 
       (36577*f[7, 110])/640 + (58769*f[7, 111])/480 - 
       (28201*f[7, 112])/160 - (13703*f[7, 113])/480 - 
       (18821*f[7, 114])/240 - (100933*f[7, 115])/1920 - 
       (2129*f[7, 116])/48 + (1166737*f[7, 117])/480 + 
       (39451*f[7, 118])/1920 - (598853*f[7, 119])/1920 - 
       (2911*f[7, 120])/16 + (4213*f[7, 121])/40 - (142447*f[7, 122])/480 - 
       (15631*f[7, 123])/160 + (32363*f[7, 124])/160 + 
       (38651*f[7, 125])/240 - (75971*f[7, 126])/480 - (4*f[7, 132])/5 + 
       f[7, 133]/2 + (4*f[7, 134])/5 - (17*f[7, 135])/20 + 
       (637*f[7, 136])/20 - (8147*f[7, 137])/40 - (28497*f[7, 138])/160 - 
       f[7, 145] - 18*f[7, 146] - (61*f[7, 147])/8 + (241*f[7, 148])/16 + 
       (371*f[7, 149])/8 - (1241*f[7, 150])/48)*HPL[{0, 1}, 1 - u]^2*
      SPw2f1[u, v] + (-2*f[7, 24] - (8*f[7, 26])/5 + (8*f[7, 27])/5 + 
       (4*f[7, 28])/5 - (8*f[7, 31])/5 + (18*f[7, 32])/5 + (24*f[7, 33])/5 + 
       f[7, 34]/2 - (8*f[7, 35])/5 - (14*f[7, 36])/5 + f[7, 37]/10 - 
       (32*f[7, 38])/5 + (16*f[7, 39])/5 - (12*f[7, 40])/5 + (2*f[7, 41])/5 + 
       (2*f[7, 42])/5 + (12*f[7, 43])/5 + (44*f[7, 44])/5 - (11*f[7, 45])/5 - 
       (11*f[7, 46])/5 + (27*f[7, 47])/20 + (37*f[7, 48])/20 + 
       (22*f[7, 49])/5 - (29*f[7, 51])/20 + 2*f[7, 52] - (8*f[7, 53])/5 - 
       (17*f[7, 54])/4 + (21*f[7, 55])/2 + (443*f[7, 56])/40 - 
       (109*f[7, 57])/8 - (163*f[7, 58])/5 + (383*f[7, 59])/40 + 
       (897*f[7, 60])/80 + (141*f[7, 61])/8 + (1499*f[7, 62])/160 + 
       (1499*f[7, 63])/160 - (1499*f[7, 64])/160 + (2691*f[7, 65])/40 - 
       (1197*f[7, 66])/20 - (717*f[7, 67])/40 - (1201*f[7, 68])/10 - 
       (1187*f[7, 69])/10 + (1179*f[7, 70])/40 - (231*f[7, 71])/8 + 
       (1243*f[7, 72])/10 - (581*f[7, 73])/5 - (1197*f[7, 74])/10 - 
       (597*f[7, 75])/160 + (2535*f[7, 76])/16 - (6403*f[7, 77])/80 + 
       (215*f[7, 78])/4 - (10333*f[7, 79])/160 - (1633*f[7, 80])/160 - 
       (539*f[7, 81])/4 + (17731*f[7, 82])/40 + (1421*f[7, 83])/4 + 
       (9317*f[7, 84])/160 - (24941*f[7, 85])/160 - (60143*f[7, 86])/160 - 
       (28003*f[7, 87])/160 + (1497*f[7, 88])/32 - (5247*f[7, 89])/160 - 
       (3839*f[7, 90])/160 + (941*f[7, 91])/8 - (28023*f[7, 92])/160 - 
       (26829*f[7, 93])/160 + (5489*f[7, 94])/160 - (40441*f[7, 95])/160 + 
       (2207*f[7, 96])/80 + (2023*f[7, 97])/16 + (10291*f[7, 98])/80 - 
       (1735*f[7, 99])/16 - 688*f[7, 100] - (9199*f[7, 101])/160 - 
       (12409*f[7, 102])/80 - (1747*f[7, 103])/80 - (2959*f[7, 104])/32 - 
       (10323*f[7, 105])/160 + (2479*f[7, 106])/5 - (13527*f[7, 107])/40 + 
       (3607*f[7, 108])/32 + (13911*f[7, 109])/160 - (4923*f[7, 110])/80 - 
       (21321*f[7, 111])/160 + (29397*f[7, 112])/160 + (1933*f[7, 113])/40 + 
       (11303*f[7, 114])/160 + (7403*f[7, 115])/160 + (1499*f[7, 116])/32 - 
       (94017*f[7, 117])/40 - (1553*f[7, 118])/80 + (1479*f[7, 119])/5 + 
       (5635*f[7, 120])/32 - (17689*f[7, 121])/160 + (49053*f[7, 122])/160 + 
       (13977*f[7, 123])/160 - (15753*f[7, 124])/80 - (25373*f[7, 125])/160 + 
       (827*f[7, 126])/5 + (8*f[7, 132])/5 + (3*f[7, 133])/2 - 
       (8*f[7, 134])/5 - f[7, 135]/20 - (127*f[7, 136])/10 + 
       (13449*f[7, 137])/40 + (44889*f[7, 138])/160 - 4*f[7, 140] - 
       4*f[7, 144] + f[7, 145] - 42*f[7, 146] - (167*f[7, 147])/8 + 
       (607*f[7, 148])/8 + (9317*f[7, 149])/32 + (173*f[7, 150])/4)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*SPw2f1[u, v] + 
     (-f[7, 18] + (4*f[7, 26])/5 - (4*f[7, 27])/5 - (2*f[7, 28])/5 + 
       f[7, 29]/2 + (4*f[7, 31])/5 - (4*f[7, 32])/5 - (12*f[7, 33])/5 + 
       (4*f[7, 35])/5 + (2*f[7, 36])/5 - f[7, 37]/20 + (16*f[7, 38])/5 + 
       (2*f[7, 39])/5 + (6*f[7, 40])/5 - f[7, 41]/5 - f[7, 42]/5 - 
       (6*f[7, 43])/5 - (12*f[7, 44])/5 + (3*f[7, 45])/5 + (3*f[7, 46])/5 - 
       (3*f[7, 47])/10 + f[7, 48]/5 - (83*f[7, 49])/40 + (3*f[7, 50])/2 + 
       (19*f[7, 51])/40 - f[7, 52] + (51*f[7, 53])/20 + (3*f[7, 54])/4 - 
       (5*f[7, 55])/2 - (691*f[7, 56])/160 + (137*f[7, 57])/64 + 
       (651*f[7, 58])/20 - (191*f[7, 59])/60 - (2473*f[7, 60])/640 - 
       (531*f[7, 61])/64 - (5821*f[7, 62])/480 - (5821*f[7, 63])/480 + 
       (5821*f[7, 64])/480 - (16639*f[7, 65])/320 + (8203*f[7, 66])/160 + 
       (3083*f[7, 67])/320 + (7659*f[7, 68])/80 + (7683*f[7, 69])/80 - 
       (6891*f[7, 70])/320 + (1391*f[7, 71])/64 - (7647*f[7, 72])/80 + 
       (7553*f[7, 73])/80 + (7623*f[7, 74])/80 - (3967*f[7, 75])/480 - 
       (16351*f[7, 76])/128 + (52367*f[7, 77])/640 - (1447*f[7, 78])/32 + 
       (6913*f[7, 79])/120 + (1991*f[7, 80])/240 + (2021*f[7, 81])/16 - 
       (161221*f[7, 82])/480 - (4229*f[7, 83])/16 - (22513*f[7, 84])/480 + 
       (225301*f[7, 85])/1920 + (71021*f[7, 86])/240 + (32291*f[7, 87])/240 - 
       (4135*f[7, 88])/96 + (7709*f[7, 89])/240 + (41659*f[7, 90])/1920 - 
       (15085*f[7, 91])/96 + (46933*f[7, 92])/320 + (229759*f[7, 93])/1920 - 
       (6517*f[7, 94])/160 + (33163*f[7, 95])/160 - (14149*f[7, 96])/320 - 
       (16429*f[7, 97])/192 - (82721*f[7, 98])/960 + (7813*f[7, 99])/96 + 
       (63637*f[7, 100])/96 + (63467*f[7, 101])/960 + (66157*f[7, 102])/480 + 
       (4531*f[7, 103])/480 + (18089*f[7, 104])/192 + (15727*f[7, 105])/480 - 
       (51233*f[7, 106])/120 + (10717*f[7, 107])/30 - (1441*f[7, 108])/12 - 
       (15293*f[7, 109])/160 + (24957*f[7, 110])/640 + 
       (10711*f[7, 111])/120 - (5699*f[7, 112])/40 - (23293*f[7, 113])/480 - 
       (33707*f[7, 114])/480 - (125573*f[7, 115])/1920 - 
       (2687*f[7, 116])/96 + (1039457*f[7, 117])/480 + (431*f[7, 118])/1920 - 
       (546913*f[7, 119])/1920 - (4921*f[7, 120])/32 + 
       (16817*f[7, 121])/160 - (65671*f[7, 122])/240 - (3439*f[7, 123])/40 + 
       (30453*f[7, 124])/160 + (80957*f[7, 125])/480 - 
       (65971*f[7, 126])/480 - (4*f[7, 132])/5 + (4*f[7, 134])/5 - 
       (11*f[7, 135])/10 + (387*f[7, 136])/20 - (3861*f[7, 137])/20 - 
       (6673*f[7, 138])/40 + 28*f[7, 146] + (51*f[7, 147])/4 + 
       (49*f[7, 148])/16 - (779*f[7, 149])/32 + (2033*f[7, 150])/48)*
      HPL[{0, 1}, 1 - v]^2*SPw2f1[u, v] + 
     (-f[7, 34] + f[7, 35] + 4*f[7, 38] + f[7, 40] - 2*f[7, 45] - 
       4*f[7, 46] - f[7, 47]/4 + 2*f[7, 50] - 4*f[7, 52] + 3*f[7, 53] - 
       f[7, 55]/2 - (77*f[7, 56])/16 - (85*f[7, 57])/32 + (37*f[7, 58])/2 + 
       (107*f[7, 59])/24 - (239*f[7, 60])/64 - (393*f[7, 61])/32 - 
       (493*f[7, 62])/96 - (493*f[7, 63])/96 + (493*f[7, 64])/96 - 
       (209*f[7, 65])/32 - (47*f[7, 66])/16 - (359*f[7, 67])/32 - 
       (97*f[7, 68])/8 - (103*f[7, 69])/8 + (239*f[7, 70])/32 - 
       (239*f[7, 71])/32 + (141*f[7, 72])/8 - (123*f[7, 73])/8 - 
       (117*f[7, 74])/8 - (335*f[7, 75])/48 + (1715*f[7, 76])/64 - 
       (1847*f[7, 77])/64 + (159*f[7, 78])/16 + (587*f[7, 79])/48 + 
       (437*f[7, 80])/48 + (611*f[7, 81])/4 + (685*f[7, 82])/48 - 
       (625*f[7, 83])/8 + (11*f[7, 84])/24 - (3685*f[7, 85])/192 - 
       (1451*f[7, 86])/24 - (683*f[7, 87])/24 + (59*f[7, 88])/12 + 
       (595*f[7, 89])/96 + (1817*f[7, 90])/192 - (4021*f[7, 91])/48 - 
       (21*f[7, 92])/32 + (593*f[7, 93])/192 - (853*f[7, 94])/16 - 
       39*f[7, 95] + (35*f[7, 96])/32 + (671*f[7, 97])/96 + 
       (959*f[7, 98])/96 - (1687*f[7, 99])/96 - (7037*f[7, 100])/48 - 
       (73*f[7, 101])/3 + (4885*f[7, 102])/96 - (35*f[7, 103])/6 + 
       (3037*f[7, 104])/48 + (353*f[7, 105])/48 - (469*f[7, 106])/12 - 
       (2453*f[7, 107])/24 - (1633*f[7, 108])/96 - (1617*f[7, 109])/32 + 
       (1017*f[7, 110])/64 - (2219*f[7, 111])/96 + (1087*f[7, 112])/32 + 
       (617*f[7, 113])/96 - (1057*f[7, 114])/48 - (10291*f[7, 115])/192 + 
       (1273*f[7, 116])/48 - (9995*f[7, 117])/48 - (4325*f[7, 118])/192 + 
       (6433*f[7, 119])/192 - (13*f[7, 120])/32 - (181*f[7, 121])/32 + 
       (1405*f[7, 122])/96 + (419*f[7, 123])/32 - 18*f[7, 124] - 
       (349*f[7, 125])/96 + (2363*f[7, 126])/96 + 7*f[7, 136] + 
       (81*f[7, 137])/4 + (113*f[7, 138])/4 + (51*f[7, 146])/2 + 
       (41*f[7, 147])/2 - (31*f[7, 148])/4 - 34*f[7, 149] + 
       (845*f[7, 150])/48)*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
      SPw2f1[u, v] + (f[7, 22]/2 - f[7, 25]/2 - f[7, 29]/2 + f[7, 36] - 
       f[7, 39] - f[7, 40] + f[7, 41] + f[7, 42] + 3*f[7, 43] + 2*f[7, 44] - 
       f[7, 45] - f[7, 46] + f[7, 47] - (9*f[7, 48])/4 + (3*f[7, 49])/2 - 
       f[7, 50] + f[7, 51]/4 - f[7, 52] - (3*f[7, 53])/2 + (5*f[7, 54])/4 - 
       (9*f[7, 55])/2 + (3*f[7, 56])/4 - (31*f[7, 57])/16 - 20*f[7, 58] + 
       (109*f[7, 59])/24 + (27*f[7, 60])/32 - (39*f[7, 61])/16 + 
       (395*f[7, 62])/48 + (395*f[7, 63])/48 - (395*f[7, 64])/48 + 
       (245*f[7, 65])/16 - (205*f[7, 66])/8 - (41*f[7, 67])/16 - 
       (205*f[7, 68])/4 - (201*f[7, 69])/4 + (153*f[7, 70])/16 - 
       (153*f[7, 71])/16 + 49*f[7, 72] - (199*f[7, 73])/4 - 
       (199*f[7, 74])/4 + (307*f[7, 75])/24 + (2331*f[7, 76])/32 - 
       (1537*f[7, 77])/32 + (207*f[7, 78])/8 - (1433*f[7, 79])/48 + 
       (169*f[7, 80])/48 - (505*f[7, 81])/8 + (4291*f[7, 82])/24 + 
       (471*f[7, 83])/4 + (1319*f[7, 84])/48 - (6115*f[7, 85])/96 - 
       (1925*f[7, 86])/12 - (218*f[7, 87])/3 + (1351*f[7, 88])/48 - 
       (857*f[7, 89])/48 - (1147*f[7, 90])/96 + (2969*f[7, 91])/24 - 
       (653*f[7, 92])/8 - (5959*f[7, 93])/96 + (409*f[7, 94])/16 - 
       (1869*f[7, 95])/16 + (553*f[7, 96])/16 + (2147*f[7, 97])/48 + 
       (2195*f[7, 98])/48 - (2221*f[7, 99])/48 - (9875*f[7, 100])/24 - 
       (1075*f[7, 101])/24 - (3749*f[7, 102])/48 + (31*f[7, 103])/12 - 
       (1361*f[7, 104])/24 - (311*f[7, 105])/48 + (5963*f[7, 106])/24 - 
       (2711*f[7, 107])/12 + (3593*f[7, 108])/48 + (815*f[7, 109])/16 - 
       (515*f[7, 110])/32 - (1811*f[7, 111])/48 + (647*f[7, 112])/8 + 
       (2129*f[7, 113])/48 + (1849*f[7, 114])/48 + (4367*f[7, 115])/96 + 
       (761*f[7, 116])/48 - (30749*f[7, 117])/24 + (901*f[7, 118])/96 + 
       (16819*f[7, 119])/96 + (717*f[7, 120])/8 - (1159*f[7, 121])/16 + 
       (8533*f[7, 122])/48 + (921*f[7, 123])/16 - 129*f[7, 124] - 
       (5929*f[7, 125])/48 + (1049*f[7, 126])/12 + 4*f[7, 129] + 
       f[7, 133]/2 + 4*f[7, 134] - f[7, 135]/4 + (7*f[7, 136])/4 + 
       (179*f[7, 137])/2 + (723*f[7, 138])/8 - 3*f[7, 145] - 42*f[7, 146] - 
       (163*f[7, 147])/8 - (269*f[7, 148])/8 - 53*f[7, 149] - 
       (7987*f[7, 150])/48)*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
      SPw2f1[u, v] + (f[7, 28] + 2*f[7, 32] - f[7, 36] + f[7, 37]/2 - 
       4*f[7, 38] - f[7, 39] - f[7, 40] + f[7, 41] + f[7, 42] + 3*f[7, 43] + 
       6*f[7, 44] + f[7, 45] + 3*f[7, 46] + f[7, 47]/2 - (5*f[7, 48])/4 + 
       (11*f[7, 49])/4 - (9*f[7, 50])/2 + (5*f[7, 51])/4 - (3*f[7, 53])/2 + 
       (9*f[7, 54])/4 - 2*f[7, 55] + (61*f[7, 56])/8 - (93*f[7, 57])/8 - 
       46*f[7, 58] + (49*f[7, 59])/4 + (49*f[7, 60])/16 + (25*f[7, 61])/8 + 
       (347*f[7, 62])/16 + (347*f[7, 63])/16 - (347*f[7, 64])/16 + 
       (659*f[7, 65])/8 - (355*f[7, 66])/4 - (153*f[7, 67])/8 - 
       (695*f[7, 68])/4 - (347*f[7, 69])/2 + (331*f[7, 70])/8 - 
       (335*f[7, 71])/8 + (691*f[7, 72])/4 - (691*f[7, 73])/4 - 
       171*f[7, 74] + (397*f[7, 75])/32 + (3775*f[7, 76])/16 - 
       (2651*f[7, 77])/16 + (163*f[7, 78])/2 - (2831*f[7, 79])/32 - 
       (257*f[7, 80])/32 - (867*f[7, 81])/8 + (4717*f[7, 82])/8 + 
       (1547*f[7, 83])/4 + (2679*f[7, 84])/32 - (6871*f[7, 85])/32 - 
       (17521*f[7, 86])/32 - (7921*f[7, 87])/32 + (2495*f[7, 88])/32 - 
       (851*f[7, 89])/16 - (1157*f[7, 90])/32 + 235*f[7, 91] - 
       (8167*f[7, 92])/32 - (6365*f[7, 93])/32 + (1395*f[7, 94])/32 - 
       (12427*f[7, 95])/32 + (179*f[7, 96])/2 + (599*f[7, 97])/4 + 
       (591*f[7, 98])/4 - (5031*f[7, 99])/32 - (2593*f[7, 100])/2 - 
       (277*f[7, 101])/2 - (6749*f[7, 102])/32 - (231*f[7, 103])/16 - 
       (1959*f[7, 104])/16 - (1383*f[7, 105])/32 + (2897*f[7, 106])/4 - 
       (2955*f[7, 107])/4 + (1629*f[7, 108])/8 + (1123*f[7, 109])/8 - 
       (1847*f[7, 110])/32 - (2679*f[7, 111])/16 + (4309*f[7, 112])/16 + 
       (2993*f[7, 113])/32 + (3559*f[7, 114])/32 + (2757*f[7, 115])/32 + 
       (1939*f[7, 116])/32 - (8003*f[7, 117])/2 - (109*f[7, 118])/32 + 
       (8541*f[7, 119])/16 + (2121*f[7, 120])/8 - (1551*f[7, 121])/8 + 
       (1977*f[7, 122])/4 + (1269*f[7, 123])/8 - (1413*f[7, 124])/4 - 
       (4953*f[7, 125])/16 + (8079*f[7, 126])/32 + f[7, 132] - f[7, 134] + 
       f[7, 135]/4 - (91*f[7, 136])/4 + (401*f[7, 137])/4 + 
       (1705*f[7, 138])/16 + 2*f[7, 144] - f[7, 145] - 46*f[7, 146] - 
       (11*f[7, 147])/8 - (4331*f[7, 148])/16 - (10219*f[7, 149])/16 - 
       (6221*f[7, 150])/16)*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      SPw2f1[u, v] + (f[7, 37]/2 - (11*f[7, 56])/2 - (5*f[7, 57])/8 - 
       2*f[7, 58] + (31*f[7, 59])/6 - (43*f[7, 60])/16 - (93*f[7, 61])/8 - 
       (77*f[7, 62])/24 - (77*f[7, 63])/24 + (77*f[7, 64])/24 - 
       (263*f[7, 65])/8 + (65*f[7, 66])/2 + (69*f[7, 67])/4 + 65*f[7, 68] + 
       65*f[7, 69] - (65*f[7, 70])/4 + (65*f[7, 71])/4 - 65*f[7, 72] + 
       65*f[7, 73] + 65*f[7, 74] + (533*f[7, 75])/48 - (1543*f[7, 76])/16 + 
       (1003*f[7, 77])/16 - (65*f[7, 78])/2 + (1501*f[7, 79])/48 + 
       (631*f[7, 80])/48 - (101*f[7, 81])/4 - (712*f[7, 82])/3 - 
       (305*f[7, 83])/2 - (1369*f[7, 84])/48 + (1111*f[7, 85])/12 + 
       (10837*f[7, 86])/48 + (5101*f[7, 87])/48 - (1193*f[7, 88])/48 + 
       (89*f[7, 89])/6 + (25*f[7, 90])/3 + (199*f[7, 91])/12 + 
       (1521*f[7, 92])/16 + (2015*f[7, 93])/24 + (367*f[7, 94])/16 + 
       (2315*f[7, 95])/16 - (65*f[7, 96])/4 - (1805*f[7, 97])/24 - 
       (1805*f[7, 98])/24 + (3089*f[7, 99])/48 + (5195*f[7, 100])/12 + 
       (269*f[7, 101])/6 + (1597*f[7, 102])/48 + (479*f[7, 103])/24 + 
       (35*f[7, 104])/12 + (1525*f[7, 105])/48 - (1429*f[7, 106])/6 + 
       (736*f[7, 107])/3 - (739*f[7, 108])/12 - (315*f[7, 109])/8 + 
       (95*f[7, 110])/4 + (1979*f[7, 111])/24 - (845*f[7, 112])/8 - 
       (145*f[7, 113])/48 - (1817*f[7, 114])/48 - (133*f[7, 115])/24 - 
       (1429*f[7, 116])/48 + (16577*f[7, 117])/12 + (151*f[7, 118])/6 - 
       (8509*f[7, 119])/48 - (199*f[7, 120])/2 + (97*f[7, 121])/2 - 
       (3409*f[7, 122])/24 - (215*f[7, 123])/4 + (409*f[7, 124])/4 + 
       (1567*f[7, 125])/24 - (3913*f[7, 126])/48 + f[7, 132] - f[7, 134] + 
       f[7, 135]/4 - (95*f[7, 136])/4 + (207*f[7, 137])/2 + 
       (219*f[7, 138])/2 - 2*f[7, 144] + f[7, 145] + 40*f[7, 146] - 
       (13*f[7, 147])/8 + (4145*f[7, 148])/16 + (4969*f[7, 149])/8 + 
       (17627*f[7, 150])/48)*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
      SPw2f1[u, v] + (4*f[7, 15] - 3*f[7, 34] - 2*f[7, 45] - 2*f[7, 46] + 
       (3*f[7, 47])/2 - f[7, 48]/2 + f[7, 49]/2 - 4*f[7, 50] - f[7, 51]/2 - 
       4*f[7, 52] - 5*f[7, 53] - f[7, 54]/2 - 9*f[7, 55] - (21*f[7, 56])/8 + 
       (25*f[7, 57])/16 - 11*f[7, 58] + (41*f[7, 59])/12 + (43*f[7, 60])/32 + 
       (117*f[7, 61])/16 + (17*f[7, 62])/12 + (17*f[7, 63])/12 - 
       (17*f[7, 64])/12 - (347*f[7, 65])/16 + (259*f[7, 66])/8 + 
       (371*f[7, 67])/16 + (335*f[7, 68])/4 + (323*f[7, 69])/4 - 
       (315*f[7, 70])/16 + (315*f[7, 71])/16 - (347*f[7, 72])/4 + 
       (329*f[7, 73])/4 + (331*f[7, 74])/4 + (781*f[7, 75])/24 - 
       (3991*f[7, 76])/32 + (2355*f[7, 77])/32 - (323*f[7, 78])/8 + 
       (85*f[7, 79])/3 + (157*f[7, 80])/12 - (353*f[7, 81])/2 - 
       (7325*f[7, 82])/24 - (727*f[7, 83])/4 - (551*f[7, 84])/24 + 
       (11585*f[7, 85])/96 + (937*f[7, 86])/3 + (1753*f[7, 87])/12 - 
       (613*f[7, 88])/24 + (341*f[7, 89])/24 - (409*f[7, 90])/96 - 
       (1225*f[7, 91])/24 + (1833*f[7, 92])/16 + (10799*f[7, 93])/96 + 
       (73*f[7, 94])/2 + (1479*f[7, 95])/8 - (145*f[7, 96])/16 - 
       (2809*f[7, 97])/48 - (2713*f[7, 98])/48 + (1013*f[7, 99])/12 + 
       (14329*f[7, 100])/24 + (2983*f[7, 101])/48 + (317*f[7, 102])/6 + 
       (43*f[7, 103])/12 + (149*f[7, 104])/48 + (1013*f[7, 105])/24 - 
       (2927*f[7, 106])/12 + (1907*f[7, 107])/6 - (1505*f[7, 108])/24 - 
       (103*f[7, 109])/4 + (721*f[7, 110])/32 + (2783*f[7, 111])/24 - 
       (1015*f[7, 112])/8 - (77*f[7, 113])/24 - (919*f[7, 114])/24 + 
       (5723*f[7, 115])/96 - (941*f[7, 116])/24 + (37225*f[7, 117])/24 + 
       (1951*f[7, 118])/96 - (18977*f[7, 119])/96 - (739*f[7, 120])/8 + 
       35*f[7, 121] - (2785*f[7, 122])/24 - (415*f[7, 123])/8 + 
       (695*f[7, 124])/8 + (449*f[7, 125])/12 - (937*f[7, 126])/12 - 
       5*f[7, 133] - 2*f[7, 135] + (35*f[7, 136])/2 - (585*f[7, 137])/2 - 
       (2177*f[7, 138])/8 - 6*f[7, 145] - 54*f[7, 146] - (25*f[7, 147])/2 - 
       (327*f[7, 148])/2 - 330*f[7, 149] - (1136*f[7, 150])/3)*
      HPL[{0, 0, 0, 1}, 1 - v]*SPw2f1[u, v] + 
     (-f[7, 56]/8 - f[7, 57]/16 + f[7, 58] + f[7, 59]/12 - (3*f[7, 60])/32 - 
       (5*f[7, 61])/16 - (29*f[7, 62])/48 - (29*f[7, 63])/48 + 
       (29*f[7, 64])/48 - (13*f[7, 65])/16 + (5*f[7, 66])/8 - 
       (3*f[7, 67])/16 + (5*f[7, 68])/4 + (5*f[7, 69])/4 - (5*f[7, 70])/16 + 
       (5*f[7, 71])/16 - (5*f[7, 72])/4 + (5*f[7, 73])/4 + (5*f[7, 74])/4 - 
       (11*f[7, 75])/48 - (53*f[7, 76])/32 + (37*f[7, 77])/32 - 
       (5*f[7, 78])/8 + (29*f[7, 79])/48 - (25*f[7, 80])/48 + 
       (11*f[7, 81])/4 - (73*f[7, 82])/24 - (7*f[7, 83])/4 - 
       (23*f[7, 84])/48 + (97*f[7, 85])/96 + (161*f[7, 86])/48 + 
       (65*f[7, 87])/48 - (19*f[7, 88])/48 + (35*f[7, 89])/48 - 
       (5*f[7, 90])/96 - (137*f[7, 91])/24 + (13*f[7, 92])/8 + 
       (91*f[7, 93])/96 - (31*f[7, 94])/16 + (41*f[7, 95])/16 - 
       (21*f[7, 96])/16 - (17*f[7, 97])/48 - (17*f[7, 98])/48 + 
       (17*f[7, 99])/24 + (263*f[7, 100])/24 + (7*f[7, 101])/6 + 
       (73*f[7, 102])/24 - f[7, 103]/3 + (53*f[7, 104])/24 - 
       (31*f[7, 105])/48 - (35*f[7, 106])/6 + (71*f[7, 107])/12 - 
       (107*f[7, 108])/48 - (39*f[7, 109])/16 + (7*f[7, 110])/32 + 
       (17*f[7, 111])/48 - (17*f[7, 112])/16 - (23*f[7, 113])/12 - 
       (85*f[7, 114])/48 - (149*f[7, 115])/96 + (19*f[7, 116])/48 + 
       (785*f[7, 117])/24 - (79*f[7, 118])/96 - (463*f[7, 119])/96 - 
       (31*f[7, 120])/16 + (29*f[7, 121])/16 - (193*f[7, 122])/48 - 
       (15*f[7, 123])/16 + (11*f[7, 124])/4 + (163*f[7, 125])/48 - 
       (37*f[7, 126])/24 + f[7, 137]/4 + (7*f[7, 138])/16 + 2*f[7, 146] + 
       f[7, 147] + (17*f[7, 148])/4 + (111*f[7, 149])/16 + 
       (149*f[7, 150])/24)*HPL[{0, 0, 1, 1}, 1 - u]*SPw2f1[u, v] + 
     ((3*f[7, 47])/4 + (3*f[7, 52])/2 - 3*f[7, 55] + (33*f[7, 56])/16 - 
       (63*f[7, 57])/32 + 6*f[7, 58] - f[7, 59]/8 + (51*f[7, 60])/64 + 
       (165*f[7, 61])/32 - (7*f[7, 62])/2 - (7*f[7, 63])/2 + (7*f[7, 64])/2 - 
       (171*f[7, 65])/32 + (111*f[7, 66])/16 + (63*f[7, 67])/32 + 
       (195*f[7, 68])/8 + (183*f[7, 69])/8 - (183*f[7, 70])/32 + 
       (183*f[7, 71])/32 - (183*f[7, 72])/8 + (147*f[7, 73])/8 + 
       (159*f[7, 74])/8 - (31*f[7, 75])/32 - (2091*f[7, 76])/64 + 
       (1179*f[7, 77])/64 - (183*f[7, 78])/16 + (193*f[7, 79])/32 - 
       (239*f[7, 80])/32 - (141*f[7, 81])/8 - (1169*f[7, 82])/16 - 
       (111*f[7, 83])/8 - (247*f[7, 84])/32 + (1757*f[7, 85])/64 + 
       (2533*f[7, 86])/32 + (1129*f[7, 87])/32 - (347*f[7, 88])/32 + 
       (113*f[7, 89])/16 - (265*f[7, 90])/64 - (1339*f[7, 91])/16 + 
       (141*f[7, 92])/4 + (1559*f[7, 93])/64 - (333*f[7, 94])/32 + 
       (1731*f[7, 95])/32 - (345*f[7, 96])/32 - (295*f[7, 97])/32 - 
       (295*f[7, 98])/32 + (749*f[7, 99])/32 + (2839*f[7, 100])/16 + 
       (547*f[7, 101])/32 + (937*f[7, 102])/32 - (49*f[7, 103])/16 + 
       (521*f[7, 104])/32 - (185*f[7, 105])/32 - (587*f[7, 106])/8 + 
       (353*f[7, 107])/4 - (217*f[7, 108])/8 - (117*f[7, 109])/16 + 
       (123*f[7, 110])/64 + (275*f[7, 111])/16 - (135*f[7, 112])/4 - 
       (943*f[7, 113])/32 - (347*f[7, 114])/32 + (35*f[7, 115])/64 - 
       (283*f[7, 116])/32 + (7747*f[7, 117])/16 - (389*f[7, 118])/64 - 
       (4211*f[7, 119])/64 - (207*f[7, 120])/8 + (459*f[7, 121])/16 - 
       67*f[7, 122] - (171*f[7, 123])/8 + (801*f[7, 124])/16 + 
       (419*f[7, 125])/8 - (1135*f[7, 126])/32 - 9*f[7, 136] + 
       (117*f[7, 137])/4 + (519*f[7, 138])/16 - 6*f[7, 145] + 30*f[7, 146] + 
       (27*f[7, 147])/2 + (921*f[7, 148])/8 + (789*f[7, 149])/4 + 
       (1169*f[7, 150])/8)*HPL[{0, 1, 1, 1}, 1 - u]*SPw2f1[u, v] + 
     (f[7, 28]/4 - f[7, 30]/8 + f[7, 32]/2 - f[7, 36]/4 - f[7, 38] - 
       f[7, 39]/4 - f[7, 40]/4 + f[7, 41]/8 + f[7, 42]/8 + (3*f[7, 43])/4 + 
       (3*f[7, 44])/2 - f[7, 45]/4 + f[7, 46]/4 + f[7, 47]/8 - f[7, 48]/4 + 
       (9*f[7, 49])/8 - f[7, 50] + f[7, 51]/8 + f[7, 52]/4 - (5*f[7, 53])/8 + 
       f[7, 54]/8 - (7*f[7, 55])/4 + (59*f[7, 56])/32 - (193*f[7, 57])/64 - 
       12*f[7, 58] + (121*f[7, 59])/48 + (117*f[7, 60])/128 + 
       (75*f[7, 61])/64 + (2093*f[7, 62])/384 + (2093*f[7, 63])/384 - 
       (2093*f[7, 64])/384 + (1283*f[7, 65])/64 - (707*f[7, 66])/32 - 
       (307*f[7, 67])/64 - (327*f[7, 68])/8 - (655*f[7, 69])/16 + 
       (635*f[7, 70])/64 - (643*f[7, 71])/64 + (649*f[7, 72])/16 - 
       (323*f[7, 73])/8 - (161*f[7, 74])/4 + (1247*f[7, 75])/384 + 
       (7055*f[7, 76])/128 - (5135*f[7, 77])/128 + (613*f[7, 78])/32 - 
       (8423*f[7, 79])/384 - (1235*f[7, 80])/384 - (1041*f[7, 81])/32 + 
       (3407*f[7, 82])/24 + (405*f[7, 83])/4 + (7835*f[7, 84])/384 - 
       (2461*f[7, 85])/48 - (49463*f[7, 86])/384 - (22331*f[7, 87])/384 + 
       (7219*f[7, 88])/384 - (5105*f[7, 89])/384 - (1969*f[7, 90])/192 + 
       (2627*f[7, 91])/48 - (7763*f[7, 92])/128 - (2353*f[7, 93])/48 + 
       (1627*f[7, 94])/128 - (11737*f[7, 95])/128 + (705*f[7, 96])/32 + 
       (1663*f[7, 97])/48 + (1663*f[7, 98])/48 - (3631*f[7, 99])/96 - 
       (29917*f[7, 100])/96 - (13097*f[7, 101])/384 - (5063*f[7, 102])/96 - 
       (139*f[7, 103])/48 - (12241*f[7, 104])/384 - (4265*f[7, 105])/384 + 
       (17149*f[7, 106])/96 - (17165*f[7, 107])/96 + (19241*f[7, 108])/384 + 
       (4767*f[7, 109])/128 - (1933*f[7, 110])/128 - (15371*f[7, 111])/384 + 
       (8147*f[7, 112])/128 + (3877*f[7, 113])/192 + (10693*f[7, 114])/384 + 
       (4541*f[7, 115])/192 + (5069*f[7, 116])/384 - (46463*f[7, 117])/48 + 
       (161*f[7, 118])/384 + (49661*f[7, 119])/384 + (8309*f[7, 120])/128 - 
       (5985*f[7, 121])/128 + (45919*f[7, 122])/384 + (4945*f[7, 123])/128 - 
       (5457*f[7, 124])/64 - (28915*f[7, 125])/384 + (2887*f[7, 126])/48 + 
       (9*f[7, 132])/20 - (9*f[7, 134])/20 + f[7, 135]/40 - 
       (697*f[7, 136])/80 + (6891*f[7, 137])/80 + (26671*f[7, 138])/320 + 
       f[7, 144]/10 - (3*f[7, 145])/4 - (67*f[7, 146])/10 - 
       (181*f[7, 147])/40 + (963*f[7, 148])/160 + (6713*f[7, 149])/320 - 
       (2993*f[7, 150])/320)*HPL[{1}, 1 - u]^2*SPw2f1[u, v]^2 + 
     (f[7, 37]/8 - f[7, 45]/2 - f[7, 46]/2 + (3*f[7, 49])/16 + f[7, 50]/2 - 
       (3*f[7, 51])/16 - f[7, 52]/4 + (3*f[7, 53])/8 - (3*f[7, 54])/8 + 
       f[7, 55] - (47*f[7, 56])/64 - (7*f[7, 57])/128 - (7*f[7, 58])/8 + 
       (23*f[7, 59])/48 - (5*f[7, 60])/256 - (131*f[7, 61])/128 - 
       (83*f[7, 62])/96 - (83*f[7, 63])/96 + (83*f[7, 64])/96 - 
       (371*f[7, 65])/128 + (183*f[7, 66])/64 + (167*f[7, 67])/128 + 
       (175*f[7, 68])/32 + (175*f[7, 69])/32 - (183*f[7, 70])/128 + 
       (183*f[7, 71])/128 - (151*f[7, 72])/32 + (173*f[7, 73])/32 + 
       (167*f[7, 74])/32 + (7*f[7, 75])/24 - (1983*f[7, 76])/256 + 
       (1603*f[7, 77])/256 - (175*f[7, 78])/64 + (415*f[7, 79])/192 + 
       (301*f[7, 80])/192 - (147*f[7, 81])/32 - (3613*f[7, 82])/192 - 
       (377*f[7, 83])/32 - (127*f[7, 84])/48 + (5989*f[7, 85])/768 + 
       (3403*f[7, 86])/192 + (1507*f[7, 87])/192 - (211*f[7, 88])/96 + 
       (271*f[7, 89])/192 + (811*f[7, 90])/768 + (1039*f[7, 91])/192 + 
       (911*f[7, 92])/128 + (4711*f[7, 93])/768 + (23*f[7, 94])/8 + 
       (203*f[7, 95])/16 - (405*f[7, 96])/128 - (2729*f[7, 97])/384 - 
       (2537*f[7, 98])/384 + (1115*f[7, 99])/192 + (8285*f[7, 100])/192 + 
       (1889*f[7, 101])/384 + (301*f[7, 102])/192 + (277*f[7, 103])/192 - 
       (617*f[7, 104])/384 + (35*f[7, 105])/24 - (1031*f[7, 106])/48 + 
       (1249*f[7, 107])/48 - (1081*f[7, 108])/192 - (61*f[7, 109])/16 + 
       (441*f[7, 110])/256 + (1375*f[7, 111])/192 - (581*f[7, 112])/64 + 
       (65*f[7, 113])/192 - (161*f[7, 114])/48 - (701*f[7, 115])/768 - 
       (97*f[7, 116])/48 + (24977*f[7, 117])/192 + (1163*f[7, 118])/768 - 
       (13141*f[7, 119])/768 - (69*f[7, 120])/8 + (149*f[7, 121])/32 - 
       (2405*f[7, 122])/192 - (333*f[7, 123])/64 + (639*f[7, 124])/64 + 
       (77*f[7, 125])/12 - (1279*f[7, 126])/192 + f[7, 132]/5 - f[7, 134]/5 - 
       f[7, 135]/10 - (17*f[7, 136])/5 + (2631*f[7, 137])/80 + 
       (9231*f[7, 138])/320 - (2*f[7, 144])/5 + (53*f[7, 146])/10 + 
       (7*f[7, 147])/20 + (7453*f[7, 148])/160 + (18949*f[7, 149])/160 + 
       (9431*f[7, 150])/160)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*SPw2f1[u, v]^2 + 
     (-f[7, 49]/8 + f[7, 51]/8 + f[7, 53]/4 + f[7, 54]/4 + f[7, 55]/4 + 
       (3*f[7, 58])/4 + (19*f[7, 59])/48 - f[7, 60]/8 - f[7, 61]/4 - 
       (89*f[7, 62])/192 - (89*f[7, 63])/192 + (89*f[7, 64])/192 - 
       f[7, 67]/4 - f[7, 68]/2 - f[7, 69]/2 + f[7, 72]/2 - (5*f[7, 73])/8 - 
       f[7, 74]/2 + (31*f[7, 75])/192 + (23*f[7, 76])/32 - (3*f[7, 77])/8 + 
       f[7, 78]/4 - (67*f[7, 79])/192 - (103*f[7, 80])/192 + (3*f[7, 81])/8 + 
       (139*f[7, 82])/48 + (3*f[7, 83])/2 + (91*f[7, 84])/192 - 
       (223*f[7, 85])/192 - (415*f[7, 86])/192 - (223*f[7, 87])/192 + 
       (107*f[7, 88])/192 + (65*f[7, 89])/192 - (67*f[7, 90])/192 - 
       (193*f[7, 91])/48 - (75*f[7, 92])/64 - (223*f[7, 93])/192 - 
       (115*f[7, 94])/64 - (97*f[7, 95])/64 - (19*f[7, 96])/32 + 
       (167*f[7, 97])/96 + (191*f[7, 98])/96 - (55*f[7, 99])/96 + 
       f[7, 100]/3 + (47*f[7, 101])/192 + (17*f[7, 102])/12 - 
       (23*f[7, 103])/24 + (241*f[7, 104])/192 - (205*f[7, 105])/192 + 
       (23*f[7, 106])/12 - (19*f[7, 107])/48 - (29*f[7, 108])/192 - 
       (31*f[7, 109])/64 - f[7, 110]/2 - (217*f[7, 111])/192 + 
       (129*f[7, 112])/64 - (53*f[7, 113])/48 - (79*f[7, 114])/192 - 
       (73*f[7, 115])/192 + (277*f[7, 116])/192 - (263*f[7, 117])/48 - 
       (127*f[7, 118])/96 + (7*f[7, 119])/48 + (53*f[7, 120])/64 - 
       (39*f[7, 121])/64 + (449*f[7, 122])/192 + (55*f[7, 123])/64 - 
       (51*f[7, 124])/32 - (113*f[7, 125])/192 + (173*f[7, 126])/96 + 
       (3*f[7, 136])/8 + f[7, 137]/2 + f[7, 138]/4 + (3*f[7, 146])/4 + 
       (3*f[7, 147])/8 - (5*f[7, 148])/16 - (3*f[7, 149])/2 - 
       (107*f[7, 150])/96)*HPL[{1}, 1 - v]^2*SPw2f1[u, v]^2 + 
     (f[7, 22]/4 - (4*f[7, 26])/5 + (4*f[7, 27])/5 + (2*f[7, 28])/5 - 
       (4*f[7, 31])/5 + (9*f[7, 32])/5 + (12*f[7, 33])/5 + f[7, 34]/4 - 
       (4*f[7, 35])/5 - (7*f[7, 36])/5 + f[7, 37]/20 - (16*f[7, 38])/5 + 
       (8*f[7, 39])/5 - (6*f[7, 40])/5 - f[7, 41]/20 - f[7, 42]/20 + 
       (11*f[7, 43])/5 + (27*f[7, 44])/5 - (11*f[7, 45])/10 - 
       (11*f[7, 46])/10 + f[7, 47]/20 + (4*f[7, 48])/5 + (59*f[7, 49])/20 + 
       (3*f[7, 51])/20 + (3*f[7, 52])/4 - (3*f[7, 53])/10 + f[7, 54]/8 + 
       (25*f[7, 55])/4 + (249*f[7, 56])/40 - (201*f[7, 57])/32 - 
       (331*f[7, 58])/20 + (38*f[7, 59])/5 + (2089*f[7, 60])/320 + 
       (215*f[7, 61])/32 + (1349*f[7, 62])/320 + (1349*f[7, 63])/320 - 
       (1349*f[7, 64])/320 + (5907*f[7, 65])/160 - (2749*f[7, 66])/80 - 
       (1729*f[7, 67])/160 - (2827*f[7, 68])/40 - (2789*f[7, 69])/40 + 
       (2773*f[7, 70])/160 - (537*f[7, 71])/32 + (2961*f[7, 72])/40 - 
       (2719*f[7, 73])/40 - (2819*f[7, 74])/40 - (807*f[7, 75])/320 + 
       (6095*f[7, 76])/64 - (16051*f[7, 77])/320 + (487*f[7, 78])/16 - 
       (11723*f[7, 79])/320 - (1653*f[7, 80])/320 - (1031*f[7, 81])/16 + 
       (1281*f[7, 82])/5 + (1575*f[7, 83])/8 + (10367*f[7, 84])/320 - 
       (7309*f[7, 85])/80 - (71873*f[7, 86])/320 - (33433*f[7, 87])/320 + 
       (1795*f[7, 88])/64 - (5877*f[7, 89])/320 - (941*f[7, 90])/80 + 
       (265*f[7, 91])/4 - (32673*f[7, 92])/320 - (15327*f[7, 93])/160 + 
       (4299*f[7, 94])/320 - (47911*f[7, 95])/320 + (81*f[7, 96])/5 + 
       (1173*f[7, 97])/16 + (5953*f[7, 98])/80 - (2019*f[7, 99])/32 - 
       (6657*f[7, 100])/16 - (11599*f[7, 101])/320 - (6737*f[7, 102])/80 - 
       (2187*f[7, 103])/160 - (3097*f[7, 104])/64 - (11273*f[7, 105])/320 + 
       (22627*f[7, 106])/80 - (16817*f[7, 107])/80 + (4225*f[7, 108])/64 + 
       (15121*f[7, 109])/320 - (10661*f[7, 110])/320 - 
       (24931*f[7, 111])/320 + (34647*f[7, 112])/320 + (4541*f[7, 113])/160 + 
       (12673*f[7, 114])/320 + (3359*f[7, 115])/160 + (1869*f[7, 116])/64 - 
       (6947*f[7, 117])/5 - (3891*f[7, 118])/320 + (55953*f[7, 119])/320 + 
       (6383*f[7, 120])/64 - (20399*f[7, 121])/320 + (56503*f[7, 122])/320 + 
       (16967*f[7, 123])/320 - (18643*f[7, 124])/160 - 
       (29503*f[7, 125])/320 + (1929*f[7, 126])/20 + (4*f[7, 132])/5 - 
       f[7, 133]/4 - (13*f[7, 134])/10 - f[7, 135]/40 - (389*f[7, 136])/40 + 
       (8519*f[7, 137])/80 + (27089*f[7, 138])/320 - 2*f[7, 140] - 
       2*f[7, 144] + 5*f[7, 145] - 13*f[7, 146] + (15*f[7, 147])/16 - 
       (1633*f[7, 148])/32 - (4425*f[7, 149])/64 - (4777*f[7, 150])/96)*
      HPL[{0, 1}, 1 - u]*SPw2f1[u, v]^2 + 
     ((4*f[7, 26])/5 - (4*f[7, 27])/5 - (2*f[7, 28])/5 + (4*f[7, 31])/5 - 
       (4*f[7, 32])/5 - (12*f[7, 33])/5 + (4*f[7, 35])/5 + (2*f[7, 36])/5 - 
       f[7, 37]/20 + (16*f[7, 38])/5 + (2*f[7, 39])/5 + (6*f[7, 40])/5 - 
       f[7, 41]/5 - f[7, 42]/5 - (6*f[7, 43])/5 - (12*f[7, 44])/5 + 
       (3*f[7, 45])/5 + (3*f[7, 46])/5 - (3*f[7, 47])/10 + f[7, 48]/5 - 
       (83*f[7, 49])/40 + (3*f[7, 50])/2 - f[7, 51]/40 - 2*f[7, 52] + 
       (51*f[7, 53])/20 + f[7, 54]/4 - (5*f[7, 55])/2 - (941*f[7, 56])/160 + 
       (119*f[7, 57])/64 + (521*f[7, 58])/20 - (257*f[7, 59])/120 - 
       (3063*f[7, 60])/640 - (749*f[7, 61])/64 - (251*f[7, 62])/30 - 
       (251*f[7, 63])/30 + (251*f[7, 64])/30 - (17009*f[7, 65])/320 + 
       (8013*f[7, 66])/160 + (3933*f[7, 67])/320 + (7549*f[7, 68])/80 + 
       (7573*f[7, 69])/80 - (6941*f[7, 70])/320 + (1401*f[7, 71])/64 - 
       (7537*f[7, 72])/80 + (7463*f[7, 73])/80 + (7513*f[7, 74])/80 - 
       (271*f[7, 75])/240 - (16313*f[7, 76])/128 + (47857*f[7, 77])/640 - 
       (1425*f[7, 78])/32 + (27497*f[7, 79])/480 + (6437*f[7, 80])/480 + 
       (1819*f[7, 81])/16 - (165791*f[7, 82])/480 - (4451*f[7, 83])/16 - 
       (5477*f[7, 84])/120 + (233231*f[7, 85])/1920 + (143927*f[7, 86])/480 + 
       (66467*f[7, 87])/480 - (1957*f[7, 88])/48 + (14303*f[7, 89])/480 + 
       (43049*f[7, 90])/1920 - (10391*f[7, 91])/96 + (46833*f[7, 92])/320 + 
       (241949*f[7, 93])/1920 - (1043*f[7, 94])/40 + (8117*f[7, 95])/40 - 
       (10959*f[7, 96])/320 - (18263*f[7, 97])/192 - (91891*f[7, 98])/960 + 
       (7901*f[7, 99])/96 + (58403*f[7, 100])/96 + (54367*f[7, 101])/960 + 
       (58457*f[7, 102])/480 + (7391*f[7, 103])/480 + (15241*f[7, 104])/192 + 
       (5273*f[7, 105])/120 - (49693*f[7, 106])/120 + (37973*f[7, 107])/120 - 
       (10669*f[7, 108])/96 - (7349*f[7, 109])/80 + (29547*f[7, 110])/640 + 
       (46979*f[7, 111])/480 - (22851*f[7, 112])/160 - 
       (15503*f[7, 113])/480 - (4049*f[7, 114])/60 - (106183*f[7, 115])/
        1920 - (181*f[7, 116])/6 + (979507*f[7, 117])/480 + 
       (19441*f[7, 118])/1920 - (506663*f[7, 119])/1920 - 
       (2431*f[7, 120])/16 + (466*f[7, 121])/5 - (121237*f[7, 122])/480 - 
       (12961*f[7, 123])/160 + (27753*f[7, 124])/160 + 
       (34391*f[7, 125])/240 - (62351*f[7, 126])/480 - (4*f[7, 132])/5 + 
       (4*f[7, 134])/5 - f[7, 135]/10 + (337*f[7, 136])/20 - 
       (744*f[7, 137])/5 - (5023*f[7, 138])/40 + 22*f[7, 146] + 
       (21*f[7, 147])/4 + (303*f[7, 148])/8 + (2737*f[7, 149])/32 + 
       (1137*f[7, 150])/16)*HPL[{0, 1}, 1 - v]*SPw2f1[u, v]^2 + 
     ((4*f[7, 26])/15 - (4*f[7, 27])/15 - (2*f[7, 28])/15 + (4*f[7, 31])/15 - 
       (4*f[7, 32])/15 - (4*f[7, 33])/5 + (4*f[7, 35])/15 + (2*f[7, 36])/15 - 
       f[7, 37]/60 + (16*f[7, 38])/15 + (2*f[7, 39])/15 + (2*f[7, 40])/5 - 
       f[7, 41]/15 - f[7, 42]/15 - (2*f[7, 43])/5 - (4*f[7, 44])/5 + 
       f[7, 45]/5 + f[7, 46]/5 - f[7, 47]/10 + f[7, 48]/15 - 
       (83*f[7, 49])/120 + f[7, 50]/2 - f[7, 51]/120 - (5*f[7, 52])/6 + 
       (17*f[7, 53])/20 + f[7, 54]/12 - (5*f[7, 55])/6 - (761*f[7, 56])/480 + 
       (25*f[7, 57])/64 + (451*f[7, 58])/60 - (347*f[7, 59])/360 - 
       (2923*f[7, 60])/1920 - (649*f[7, 61])/192 - (1633*f[7, 62])/720 - 
       (1633*f[7, 63])/720 + (1633*f[7, 64])/720 - (15149*f[7, 65])/960 + 
       (7153*f[7, 66])/480 + (3713*f[7, 67])/960 + (6689*f[7, 68])/240 + 
       (6713*f[7, 69])/240 - (1947*f[7, 70])/320 + (1181*f[7, 71])/192 - 
       (6677*f[7, 72])/240 + (6583*f[7, 73])/240 + (6653*f[7, 74])/240 - 
       (587*f[7, 75])/1440 - (14405*f[7, 76])/384 + (41437*f[7, 77])/1920 - 
       (1253*f[7, 78])/96 + (6173*f[7, 79])/360 + (3151*f[7, 80])/720 + 
       (1609*f[7, 81])/48 - (148031*f[7, 82])/1440 - (3907*f[7, 83])/48 - 
       (19463*f[7, 84])/1440 + (207671*f[7, 85])/5760 + 
       (31883*f[7, 86])/360 + (7369*f[7, 87])/180 - (3497*f[7, 88])/288 + 
       (12533*f[7, 89])/1440 + (38849*f[7, 90])/5760 - (8819*f[7, 91])/288 + 
       (42383*f[7, 92])/960 + (213989*f[7, 93])/5760 - (3007*f[7, 94])/480 + 
       (28753*f[7, 95])/480 - (9299*f[7, 96])/960 - (16499*f[7, 97])/576 - 
       (79231*f[7, 98])/2880 + (865*f[7, 99])/36 + (50639*f[7, 100])/288 + 
       (46027*f[7, 101])/2880 + (3167*f[7, 102])/90 + (7361*f[7, 103])/1440 + 
       (13069*f[7, 104])/576 + (19667*f[7, 105])/1440 - 
       (44323*f[7, 106])/360 + (32543*f[7, 107])/360 - (9409*f[7, 108])/288 - 
       (6589*f[7, 109])/240 + (8889*f[7, 110])/640 + (42389*f[7, 111])/1440 - 
       (6787*f[7, 112])/160 - (6259*f[7, 113])/720 - (28687*f[7, 114])/1440 - 
       (94423*f[7, 115])/5760 - (2635*f[7, 116])/288 + 
       (859327*f[7, 117])/1440 + (20401*f[7, 118])/5760 - 
       (440363*f[7, 119])/5760 - (719*f[7, 120])/16 + (406*f[7, 121])/15 - 
       (107017*f[7, 122])/1440 - (11381*f[7, 123])/480 + 
       (8111*f[7, 124])/160 + (14863*f[7, 125])/360 - (27673*f[7, 126])/720 - 
       (4*f[7, 132])/15 + (4*f[7, 134])/15 - f[7, 135]/5 + 
       (181*f[7, 136])/30 - (7027*f[7, 137])/120 - (24017*f[7, 138])/480 + 
       (8*f[7, 146])/3 + (5*f[7, 147])/3 - (59*f[7, 148])/12 - 
       (649*f[7, 149])/48 - (125*f[7, 150])/72)*SPw2f1[u, v]^3 + 
     (-f[7, 14]/3 + f[7, 26]/15 - f[7, 27]/15 - f[7, 28]/30 - 
       (3*f[7, 31])/5 + (14*f[7, 32])/15 + (37*f[7, 33])/15 + f[7, 35]/15 + 
       f[7, 36]/30 + (31*f[7, 37])/60 + (8*f[7, 38])/5 + (31*f[7, 39])/30 + 
       f[7, 40]/10 + (29*f[7, 41])/60 - (31*f[7, 42])/60 + (67*f[7, 43])/30 + 
       (47*f[7, 44])/15 - (11*f[7, 45])/30 - (31*f[7, 46])/30 + 
       (31*f[7, 47])/60 + f[7, 48]/60 + (2*f[7, 49])/5 - (3*f[7, 50])/8 + 
       (4*f[7, 51])/5 - f[7, 52]/2 + (31*f[7, 53])/40 + (7*f[7, 54])/4 + 
       (19*f[7, 55])/24 + (1411*f[7, 56])/480 - (1337*f[7, 57])/192 - 
       (229*f[7, 58])/15 + (4469*f[7, 59])/720 + (2473*f[7, 60])/1920 + 
       (35*f[7, 61])/192 + (4613*f[7, 62])/720 + (4613*f[7, 63])/720 - 
       (4613*f[7, 64])/720 + (10113*f[7, 65])/320 - (16993*f[7, 66])/480 - 
       (3211*f[7, 67])/320 - (17599*f[7, 68])/240 - (17633*f[7, 69])/240 + 
       (6107*f[7, 70])/320 - (3661*f[7, 71])/192 + (9061*f[7, 72])/120 - 
       (1108*f[7, 73])/15 - (1449*f[7, 74])/20 + (4033*f[7, 75])/5760 + 
       (40645*f[7, 76])/384 - (149387*f[7, 77])/1920 + (1227*f[7, 78])/32 - 
       (196633*f[7, 79])/5760 - (3013*f[7, 80])/5760 - (1499*f[7, 81])/96 + 
       (170663*f[7, 82])/720 + (6479*f[7, 83])/48 + (188317*f[7, 84])/5760 - 
       (260093*f[7, 85])/2880 - (1388833*f[7, 86])/5760 - 
       (635413*f[7, 87])/5760 + (35809*f[7, 88])/1152 - 
       (13859*f[7, 89])/720 - (2959*f[7, 90])/360 + (21289*f[7, 91])/288 - 
       (199951*f[7, 92])/1920 - (13787*f[7, 93])/180 + 
       (10973*f[7, 94])/1920 - (317707*f[7, 95])/1920 + (9993*f[7, 96])/320 + 
       (37555*f[7, 97])/576 + (188831*f[7, 98])/2880 - 
       (75025*f[7, 99])/1152 - (161647*f[7, 100])/288 - 
       (91111*f[7, 101])/1440 - (431923*f[7, 102])/5760 - 
       (30587*f[7, 103])/2880 - (20765*f[7, 104])/576 - 
       (114733*f[7, 105])/5760 + (99593*f[7, 106])/360 - 
       (115903*f[7, 107])/360 + (44311*f[7, 108])/576 + 
       (40621*f[7, 109])/960 - (8363*f[7, 110])/480 - (25801*f[7, 111])/360 + 
       (110597*f[7, 112])/960 + (237367*f[7, 113])/5760 + 
       (232013*f[7, 114])/5760 + (3529*f[7, 115])/180 + 
       (38057*f[7, 116])/1152 - (2397317*f[7, 117])/1440 - 
       (16559*f[7, 118])/1440 + (1289413*f[7, 119])/5760 + 
       (20261*f[7, 120])/192 - (72799*f[7, 121])/960 + 
       (564379*f[7, 122])/2880 + (60137*f[7, 123])/960 - 
       (16577*f[7, 124])/120 - (170717*f[7, 125])/1440 + 
       (613699*f[7, 126])/5760 - f[7, 132]/30 + f[7, 134]/30 - 
       (3*f[7, 135])/20 - (101*f[7, 136])/10 + (17987*f[7, 137])/240 + 
       (23089*f[7, 138])/320 - f[7, 144]/15 + f[7, 145]/2 - 
       (667*f[7, 146])/60 + (1009*f[7, 147])/240 - (817*f[7, 148])/10 - 
       (187361*f[7, 149])/960 - (155821*f[7, 150])/1440)*HPL[{1}, 1 - u]^3*
      SPw3f1[u, v] + (f[7, 53]/2 - f[7, 55]/12 + f[7, 56]/2 + f[7, 57]/4 - 
       (7*f[7, 58])/4 - f[7, 59]/3 + (3*f[7, 60])/8 + (5*f[7, 61])/4 + 
       (31*f[7, 62])/64 + (31*f[7, 63])/64 - (31*f[7, 64])/64 + 
       (25*f[7, 65])/12 - (4*f[7, 66])/3 - (8*f[7, 68])/3 - (8*f[7, 69])/3 + 
       (7*f[7, 70])/12 - (7*f[7, 71])/12 + (8*f[7, 72])/3 - (8*f[7, 73])/3 - 
       (8*f[7, 74])/3 - (145*f[7, 75])/192 + (89*f[7, 76])/24 - 
       (7*f[7, 77])/8 + (4*f[7, 78])/3 - (407*f[7, 79])/192 - 
       (15*f[7, 80])/64 - (335*f[7, 81])/48 + (161*f[7, 82])/16 + 
       (269*f[7, 83])/24 + (61*f[7, 84])/64 - (205*f[7, 85])/64 - 
       (1631*f[7, 86])/192 - (767*f[7, 87])/192 + (119*f[7, 88])/192 - 
       (269*f[7, 89])/192 - (79*f[7, 90])/192 + (277*f[7, 91])/48 - 
       (271*f[7, 92])/64 - (787*f[7, 93])/192 + (371*f[7, 94])/192 - 
       (919*f[7, 95])/192 + (77*f[7, 96])/96 + (251*f[7, 97])/96 + 
       (73*f[7, 98])/32 - (91*f[7, 99])/48 - (377*f[7, 100])/24 - 
       (109*f[7, 101])/192 - (169*f[7, 102])/32 + (5*f[7, 103])/96 - 
       (285*f[7, 104])/64 - (253*f[7, 105])/192 + (571*f[7, 106])/48 - 
       (79*f[7, 107])/16 + (805*f[7, 108])/192 + (295*f[7, 109])/64 - 
       (149*f[7, 110])/96 - (419*f[7, 111])/192 + (457*f[7, 112])/192 + 
       (127*f[7, 113])/96 + (625*f[7, 114])/192 + (503*f[7, 115])/192 - 
       (131*f[7, 116])/192 - (2533*f[7, 117])/48 + (9*f[7, 118])/32 + 
       (685*f[7, 119])/96 + (907*f[7, 120])/192 - (105*f[7, 121])/64 + 
       (285*f[7, 122])/64 + (283*f[7, 123])/192 - (299*f[7, 124])/96 - 
       (499*f[7, 125])/192 + (35*f[7, 126])/24 - (31*f[7, 136])/4 + 
       (1043*f[7, 137])/24 + (4039*f[7, 138])/96 + (37*f[7, 146])/3 + 
       (9*f[7, 147])/4 + (733*f[7, 148])/16 + (9751*f[7, 149])/96 + 
       (1149*f[7, 150])/16)*HPL[{1}, 1 - v]^3*SPw3f1[u, v] + 
     (f[7, 34]/2 - f[7, 41]/2 - f[7, 42]/2 - f[7, 45] - f[7, 46] - 
       (3*f[7, 47])/4 + f[7, 48] + f[7, 49]/4 + 2*f[7, 50] + f[7, 52] + 
       (3*f[7, 53])/2 - f[7, 54]/4 + (7*f[7, 55])/2 + f[7, 56]/16 + 
       (63*f[7, 57])/32 + (11*f[7, 58])/2 - f[7, 59]/4 + (13*f[7, 60])/64 + 
       (19*f[7, 61])/32 - (93*f[7, 62])/32 - (93*f[7, 63])/32 + 
       (93*f[7, 64])/32 + (419*f[7, 65])/32 - (251*f[7, 66])/16 - 
       (379*f[7, 67])/32 - (287*f[7, 68])/8 - (283*f[7, 69])/8 + 
       (291*f[7, 70])/32 - (291*f[7, 71])/32 + (307*f[7, 72])/8 - 
       (289*f[7, 73])/8 - (295*f[7, 74])/8 - (37*f[7, 75])/4 + 
       (3519*f[7, 76])/64 - (1979*f[7, 77])/64 + (283*f[7, 78])/16 - 
       (55*f[7, 79])/4 - 6*f[7, 80] + (387*f[7, 81])/8 + (2107*f[7, 82])/16 + 
       (533*f[7, 83])/8 + (207*f[7, 84])/16 - (3375*f[7, 85])/64 - 
       (2117*f[7, 86])/16 - (1015*f[7, 87])/16 + (229*f[7, 88])/16 - 
       (137*f[7, 89])/32 - (5*f[7, 90])/64 - (247*f[7, 91])/16 - 
       (1667*f[7, 92])/32 - (2961*f[7, 93])/64 - (201*f[7, 94])/8 - 
       (1285*f[7, 95])/16 + (15*f[7, 96])/32 + (1213*f[7, 97])/32 + 
       (1245*f[7, 98])/32 - (1157*f[7, 99])/32 - (3479*f[7, 100])/16 - 
       (83*f[7, 101])/4 - (231*f[7, 102])/32 - (191*f[7, 103])/16 + 
       (21*f[7, 104])/2 - (171*f[7, 105])/8 + (885*f[7, 106])/8 - 
       (909*f[7, 107])/8 + (763*f[7, 108])/32 + (185*f[7, 109])/32 - 
       (855*f[7, 110])/64 - (1603*f[7, 111])/32 + (1981*f[7, 112])/32 - 
       (21*f[7, 113])/32 + (93*f[7, 114])/8 - (1093*f[7, 115])/64 + 
       (191*f[7, 116])/8 - (10377*f[7, 117])/16 - (1215*f[7, 118])/64 + 
       (5083*f[7, 119])/64 + (1463*f[7, 120])/32 - (683*f[7, 121])/32 + 
       (2225*f[7, 122])/32 + (909*f[7, 123])/32 - (197*f[7, 124])/4 - 
       (833*f[7, 125])/32 + (1513*f[7, 126])/32 + f[7, 133]/2 + f[7, 135]/4 + 
       (7*f[7, 136])/2 + (273*f[7, 137])/8 + (965*f[7, 138])/32 + f[7, 145] + 
       5*f[7, 146] + (55*f[7, 147])/8 - (149*f[7, 148])/4 - 
       (3237*f[7, 149])/32 - (49*f[7, 150])/2)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*SPw3f1[u, v] + (2*f[7, 18] + (13*f[7, 56])/16 - 
       (3*f[7, 57])/32 - 3*f[7, 58] - (13*f[7, 59])/24 + (23*f[7, 60])/64 + 
       (49*f[7, 61])/32 + (73*f[7, 62])/48 + (73*f[7, 63])/48 - 
       (73*f[7, 64])/48 + (129*f[7, 65])/32 - (53*f[7, 66])/16 - 
       (5*f[7, 67])/32 - (53*f[7, 68])/8 - (53*f[7, 69])/8 + 
       (37*f[7, 70])/32 - (37*f[7, 71])/32 + (53*f[7, 72])/8 - 
       (57*f[7, 73])/8 - (53*f[7, 74])/8 - (73*f[7, 75])/96 + 
       (585*f[7, 76])/64 - (393*f[7, 77])/64 + (53*f[7, 78])/16 - 
       (455*f[7, 79])/96 - (23*f[7, 80])/96 - (71*f[7, 81])/8 + 
       (1033*f[7, 82])/48 + (143*f[7, 83])/8 + (245*f[7, 84])/96 - 
       (1453*f[7, 85])/192 - (1961*f[7, 86])/96 - (881*f[7, 87])/96 + 
       (193*f[7, 88])/96 - (37*f[7, 89])/12 - (163*f[7, 90])/192 + 
       (695*f[7, 91])/48 - (85*f[7, 92])/8 - (1423*f[7, 93])/192 + 
       (97*f[7, 94])/32 - (423*f[7, 95])/32 + (123*f[7, 96])/32 + 
       (491*f[7, 97])/96 + (491*f[7, 98])/96 - (451*f[7, 99])/96 - 
       (2375*f[7, 100])/48 - (497*f[7, 101])/96 - (1007*f[7, 102])/96 + 
       (5*f[7, 103])/48 - (739*f[7, 104])/96 - (161*f[7, 105])/96 + 
       (703*f[7, 106])/24 - (161*f[7, 107])/6 + (481*f[7, 108])/48 + 
       (73*f[7, 109])/8 - (109*f[7, 110])/64 - (131*f[7, 111])/24 + 
       (29*f[7, 112])/4 + (371*f[7, 113])/96 + (649*f[7, 114])/96 + 
       (1001*f[7, 115])/192 - (55*f[7, 116])/96 - (7535*f[7, 117])/48 + 
       (253*f[7, 118])/192 + (4147*f[7, 119])/192 + (169*f[7, 120])/16 - 
       (45*f[7, 121])/8 + (665*f[7, 122])/48 + (83*f[7, 123])/16 - 
       (165*f[7, 124])/16 - (443*f[7, 125])/48 + (563*f[7, 126])/96 + 
       f[7, 135]/2 - (9*f[7, 136])/2 + (157*f[7, 137])/4 + 
       (565*f[7, 138])/16 + 5*f[7, 146] + f[7, 147]/4 + (57*f[7, 148])/2 + 
       (561*f[7, 149])/8 + (423*f[7, 150])/8)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*SPw3f1[u, v] + (f[7, 133] - (17*f[7, 136])/2 + 
       23*f[7, 137] + (125*f[7, 138])/8 - 2*f[7, 145] + 17*f[7, 146] + 
       (13*f[7, 147])/2 + 27*f[7, 148] + (99*f[7, 149])/2 + 
       (393*f[7, 150])/8)*HPL[{0, 0, 1}, 1 - u]*SPw3f1[u, v] + 
     (-2*f[7, 15] - f[7, 56] - (5*f[7, 57])/2 + 8*f[7, 58] - (5*f[7, 60])/4 - 
       (5*f[7, 61])/2 - (31*f[7, 62])/8 - (31*f[7, 63])/8 + (31*f[7, 64])/8 - 
       (7*f[7, 65])/2 + f[7, 66] - (7*f[7, 67])/2 + 2*f[7, 68] + 2*f[7, 69] - 
       f[7, 70]/2 + f[7, 71]/2 - 2*f[7, 72] + 2*f[7, 73] + 2*f[7, 74] - 
       (53*f[7, 75])/8 - (9*f[7, 76])/4 + (11*f[7, 77])/4 - f[7, 78] + 
       (13*f[7, 79])/8 - (39*f[7, 80])/8 + (73*f[7, 81])/2 + (9*f[7, 82])/2 + 
       11*f[7, 83] - (17*f[7, 84])/8 - (25*f[7, 85])/8 - (7*f[7, 86])/8 - 
       (11*f[7, 87])/8 - (17*f[7, 88])/8 + (19*f[7, 89])/8 - 
       (13*f[7, 90])/8 - (77*f[7, 91])/2 + (25*f[7, 92])/8 - 
       (35*f[7, 93])/8 - (139*f[7, 94])/8 + (37*f[7, 95])/8 - 
       (27*f[7, 96])/4 + (5*f[7, 97])/4 + (5*f[7, 98])/4 + f[7, 99]/2 + 
       21*f[7, 100] + (21*f[7, 101])/8 + 14*f[7, 102] - f[7, 103]/2 + 
       (101*f[7, 104])/8 - (73*f[7, 105])/8 - (37*f[7, 106])/2 + 
       (27*f[7, 107])/2 - (79*f[7, 108])/8 - (35*f[7, 109])/8 - f[7, 110]/4 - 
       (63*f[7, 111])/8 - (3*f[7, 112])/8 - (69*f[7, 113])/4 - 
       (35*f[7, 114])/8 - (129*f[7, 115])/8 + (13*f[7, 116])/8 + 
       (201*f[7, 117])/2 - (23*f[7, 118])/4 - (67*f[7, 119])/4 - 
       (49*f[7, 120])/8 + (105*f[7, 121])/8 - (209*f[7, 122])/8 - 
       (33*f[7, 123])/8 + (69*f[7, 124])/4 + (217*f[7, 125])/8 - 
       (21*f[7, 126])/2 + f[7, 135] - 14*f[7, 136] + 38*f[7, 137] + 
       (71*f[7, 138])/2 + 46*f[7, 146] + 24*f[7, 147] + 68*f[7, 148] + 
       (207*f[7, 149])/2 + 156*f[7, 150])*HPL[{0, 0, 1}, 1 - v]*
      SPw3f1[u, v] + (-f[7, 9] - 2*f[7, 23] + 4*f[7, 32] + f[7, 37] - 
       8*f[7, 38] - 4*f[7, 39] - 2*f[7, 40] + 4*f[7, 42] + 12*f[7, 43] + 
       12*f[7, 44] + 4*f[7, 46] - 2*f[7, 47] - 3*f[7, 48] + (21*f[7, 49])/2 - 
       9*f[7, 50] + 6*f[7, 51] + 2*f[7, 52] - 4*f[7, 53] + 8*f[7, 54] - 
       7*f[7, 55] + (129*f[7, 56])/8 - (383*f[7, 57])/16 - 158*f[7, 58] + 
       (86*f[7, 59])/3 + (115*f[7, 60])/32 - (59*f[7, 61])/16 + 
       (3389*f[7, 62])/48 + (3389*f[7, 63])/48 - (3389*f[7, 64])/48 + 
       (3437*f[7, 65])/16 - (1941*f[7, 66])/8 - (605*f[7, 67])/16 - 
       (1897*f[7, 68])/4 - (1893*f[7, 69])/4 + (1805*f[7, 70])/16 - 
       (1805*f[7, 71])/16 + (1903*f[7, 72])/4 - (1893*f[7, 73])/4 - 
       (1879*f[7, 74])/4 + (671*f[7, 75])/12 + (20709*f[7, 76])/32 - 
       (15389*f[7, 77])/32 + (1837*f[7, 78])/8 - (3059*f[7, 79])/12 - 
       (245*f[7, 80])/12 - (1665*f[7, 81])/4 + (37867*f[7, 82])/24 + 
       (4099*f[7, 83])/4 + (5449*f[7, 84])/24 - (54571*f[7, 85])/96 - 
       (35323*f[7, 86])/24 - (15817*f[7, 87])/24 + (5279*f[7, 88])/24 - 
       (7595*f[7, 89])/48 - (9649*f[7, 90])/96 + (20033*f[7, 91])/24 - 
       (11371*f[7, 92])/16 - (48253*f[7, 93])/96 + (1421*f[7, 94])/8 - 
       (8445*f[7, 95])/8 + (4461*f[7, 96])/16 + (18305*f[7, 97])/48 + 
       (18209*f[7, 98])/48 - (19891*f[7, 99])/48 - (89687*f[7, 100])/24 - 
       (1229*f[7, 101])/3 - (30893*f[7, 102])/48 - (133*f[7, 103])/6 - 
       (4861*f[7, 104])/12 - (535*f[7, 105])/6 + (24601*f[7, 106])/12 - 
       (25715*f[7, 107])/12 + (29585*f[7, 108])/48 + (7073*f[7, 109])/16 - 
       (4485*f[7, 110])/32 - (19733*f[7, 111])/48 + (11377*f[7, 112])/16 + 
       (13913*f[7, 113])/48 + (4021*f[7, 114])/12 + (28559*f[7, 115])/96 + 
       (1715*f[7, 116])/12 - (273737*f[7, 117])/24 + (2869*f[7, 118])/96 + 
       (147427*f[7, 119])/96 + (11771*f[7, 120])/16 - (8975*f[7, 121])/16 + 
       (67111*f[7, 122])/48 + (7221*f[7, 123])/16 - (4047*f[7, 124])/4 - 
       (44479*f[7, 125])/48 + (33275*f[7, 126])/48 + f[7, 135]/2 - 
       86*f[7, 136] + (933*f[7, 137])/2 + (3549*f[7, 138])/8 - 4*f[7, 145] - 
       134*f[7, 146] - (97*f[7, 147])/4 - (2183*f[7, 148])/4 - 
       (5061*f[7, 149])/4 - (1821*f[7, 150])/2)*HPL[{0, 1, 1}, 1 - u]*
      SPw3f1[u, v] + (-4*f[7, 18] + 5*f[7, 52] - 5*f[7, 55] - 
       (53*f[7, 56])/8 - (77*f[7, 57])/16 - 24*f[7, 58] + (53*f[7, 59])/12 - 
       (183*f[7, 60])/32 - (289*f[7, 61])/16 + (641*f[7, 62])/48 + 
       (641*f[7, 63])/48 - (641*f[7, 64])/48 - (89*f[7, 65])/16 - 
       (47*f[7, 66])/8 + (145*f[7, 67])/16 - (47*f[7, 68])/4 - 
       (47*f[7, 69])/4 + (95*f[7, 70])/16 - (95*f[7, 71])/16 + 
       (47*f[7, 72])/4 - (45*f[7, 73])/4 - (47*f[7, 74])/4 + 
       (1247*f[7, 75])/48 + (335*f[7, 76])/32 - (1103*f[7, 77])/32 + 
       (47*f[7, 78])/8 + (175*f[7, 79])/48 + (859*f[7, 80])/48 - 
       (43*f[7, 81])/4 - (329*f[7, 82])/24 - (303*f[7, 83])/4 + 
       (371*f[7, 84])/48 + (497*f[7, 85])/96 - (377*f[7, 86])/48 + 
       (223*f[7, 87])/48 + (583*f[7, 88])/48 - (443*f[7, 89])/48 - 
       (13*f[7, 90])/96 + (4079*f[7, 91])/24 - (41*f[7, 92])/8 + 
       (2351*f[7, 93])/96 + (925*f[7, 94])/16 - (525*f[7, 95])/16 + 
       (675*f[7, 96])/16 - (1585*f[7, 97])/48 - (1489*f[7, 98])/48 - 
       (215*f[7, 99])/24 - (6833*f[7, 100])/24 - (527*f[7, 101])/12 - 
       (731*f[7, 102])/12 + (461*f[7, 103])/24 - (487*f[7, 104])/12 + 
       (1783*f[7, 105])/48 + (193*f[7, 106])/3 - (2183*f[7, 107])/12 + 
       (1499*f[7, 108])/48 + (187*f[7, 109])/16 + (455*f[7, 110])/32 + 
       (727*f[7, 111])/48 + (209*f[7, 112])/16 + (737*f[7, 113])/12 + 
       (433*f[7, 114])/48 + (2807*f[7, 115])/96 - (127*f[7, 116])/48 - 
       (14327*f[7, 117])/24 + (3121*f[7, 118])/96 + (9073*f[7, 119])/96 + 
       (223*f[7, 120])/16 - (773*f[7, 121])/16 + (4621*f[7, 122])/48 + 
       (287*f[7, 123])/16 - (269*f[7, 124])/4 - (4711*f[7, 125])/48 + 
       (979*f[7, 126])/24 - f[7, 135] + (11*f[7, 136])/2 - 
       (313*f[7, 137])/4 - (969*f[7, 138])/16 - 58*f[7, 146] - 20*f[7, 147] - 
       143*f[7, 148] - (4363*f[7, 149])/16 - (7205*f[7, 150])/24)*
      HPL[{0, 1, 1}, 1 - v]*SPw3f1[u, v] + 
     (f[7, 135]/4 - (9*f[7, 136])/4 + (23*f[7, 137])/8 + (79*f[7, 138])/32 + 
       5*f[7, 146] + (19*f[7, 147])/8 + (33*f[7, 148])/8 + 
       (199*f[7, 149])/32 + (44*f[7, 150])/3)*SPw3f1[u, v]^2 + 
     ((-2*f[7, 14])/3 + f[7, 24]/6 + f[7, 25]/4 + f[7, 26]/15 - f[7, 27]/15 - 
       f[7, 28]/30 + f[7, 29]/4 + f[7, 30]/6 - (19*f[7, 31])/15 + 
       (14*f[7, 32])/15 + (77*f[7, 33])/15 - f[7, 34]/24 + f[7, 35]/15 + 
       f[7, 36]/30 + (31*f[7, 37])/60 + (8*f[7, 38])/5 + (31*f[7, 39])/30 + 
       f[7, 40]/10 + (29*f[7, 41])/60 - (17*f[7, 42])/20 + (26*f[7, 43])/15 + 
       (79*f[7, 44])/30 - (17*f[7, 45])/60 - (19*f[7, 46])/20 + 
       (31*f[7, 47])/60 + (119*f[7, 48])/240 + (41*f[7, 49])/240 - 
       (7*f[7, 50])/8 + (257*f[7, 51])/240 + (3*f[7, 52])/8 + 
       (11*f[7, 53])/15 + (85*f[7, 54])/48 + (23*f[7, 55])/12 + 
       (647*f[7, 56])/960 - (2755*f[7, 57])/384 - (364*f[7, 58])/15 + 
       (11383*f[7, 59])/1440 - (2189*f[7, 60])/3840 - (365*f[7, 61])/128 + 
       (55009*f[7, 62])/5760 + (55009*f[7, 63])/5760 - 
       (55009*f[7, 64])/5760 + (50773*f[7, 65])/1920 - (30481*f[7, 66])/960 - 
       (6601*f[7, 67])/1920 - (31693*f[7, 68])/480 - (31961*f[7, 69])/480 + 
       (34577*f[7, 70])/1920 - (2303*f[7, 71])/128 + (32819*f[7, 72])/480 - 
       (32141*f[7, 73])/480 - (31271*f[7, 74])/480 + (46183*f[7, 75])/5760 + 
       (23715*f[7, 76])/256 - (94903*f[7, 77])/1280 + (6733*f[7, 78])/192 - 
       (182443*f[7, 79])/5760 + (21947*f[7, 80])/5760 - (4583*f[7, 81])/96 + 
       (571337*f[7, 82])/2880 + (9905*f[7, 83])/96 + (170977*f[7, 84])/5760 - 
       (843857*f[7, 85])/11520 - (1184653*f[7, 86])/5760 - 
       (528433*f[7, 87])/5760 + (33481*f[7, 88])/1152 - 
       (116227*f[7, 89])/5760 - (95903*f[7, 90])/11520 + 
       (72437*f[7, 91])/576 - (90703*f[7, 92])/960 - (652163*f[7, 93])/
        11520 + (49583*f[7, 94])/1920 - (282287*f[7, 95])/1920 + 
       (70493*f[7, 96])/1920 + (54845*f[7, 97])/1152 + 
       (275857*f[7, 98])/5760 - (31499*f[7, 99])/576 - 
       (315683*f[7, 100])/576 - (22729*f[7, 101])/360 - 
       (128587*f[7, 102])/1440 - (4951*f[7, 103])/1440 - 
       (15295*f[7, 104])/288 - (45883*f[7, 105])/5760 + 
       (188071*f[7, 106])/720 - (456487*f[7, 107])/1440 + 
       (90491*f[7, 108])/1152 + (29149*f[7, 109])/640 - 
       (15773*f[7, 110])/1280 - (296521*f[7, 111])/5760 + 
       (187199*f[7, 112])/1920 + (76423*f[7, 113])/1440 + 
       (232823*f[7, 114])/5760 + (368281*f[7, 115])/11520 + 
       (28907*f[7, 116])/1152 - (4564129*f[7, 117])/2880 - 
       (1057*f[7, 118])/11520 + (2494391*f[7, 119])/11520 + 
       (36619*f[7, 120])/384 - (150133*f[7, 121])/1920 + 
       (1109813*f[7, 122])/5760 + (110479*f[7, 123])/1920 - 
       (21691*f[7, 124])/160 - (748883*f[7, 125])/5760 + 
       (143911*f[7, 126])/1440 - 2*f[7, 129] - f[7, 132]/10 - f[7, 133]/8 + 
       (4*f[7, 134])/15 - (43*f[7, 135])/240 - (1417*f[7, 136])/240 + 
       (9697*f[7, 137])/480 + (49157*f[7, 138])/1920 - (29*f[7, 144])/15 + 
       (13*f[7, 145])/6 - (791*f[7, 146])/20 - (1411*f[7, 147])/160 - 
       (15581*f[7, 148])/120 - (188931*f[7, 149])/640 - 
       (33893*f[7, 150])/180)*HPL[{1}, 1 - u]^3*SPw3f1[v, u] + 
     (-f[7, 5] + 4*f[7, 24] - 4*f[7, 27] - f[7, 29] + f[7, 30] - 4*f[7, 32] + 
       f[7, 34] + 3*f[7, 36] - 8*f[7, 39] + f[7, 41]/2 + f[7, 42]/2 - 
       2*f[7, 43] - 6*f[7, 44] + 4*f[7, 46] - 3*f[7, 47] - (13*f[7, 48])/4 + 
       f[7, 49]/2 + 6*f[7, 50] - (3*f[7, 51])/4 + 11*f[7, 52] + 3*f[7, 53] + 
       3*f[7, 54] + 9*f[7, 55] - (21*f[7, 56])/8 + (587*f[7, 57])/16 + 
       (69*f[7, 58])/2 - (261*f[7, 59])/8 - (87*f[7, 60])/32 + 
       (295*f[7, 61])/16 - (237*f[7, 62])/16 - (237*f[7, 63])/16 + 
       (237*f[7, 64])/16 + (1383*f[7, 65])/16 - (719*f[7, 66])/8 - 
       (1019*f[7, 67])/16 - (735*f[7, 68])/4 - (743*f[7, 69])/4 + 
       (591*f[7, 70])/16 - (623*f[7, 71])/16 + (751*f[7, 72])/4 - 
       (739*f[7, 73])/4 - (741*f[7, 74])/4 - (173*f[7, 75])/4 + 
       (9131*f[7, 76])/32 - (5219*f[7, 77])/32 + (707*f[7, 78])/8 - 
       (193*f[7, 79])/2 - (975*f[7, 80])/16 + (1435*f[7, 81])/8 + 
       (5753*f[7, 82])/8 + (879*f[7, 83])/2 + (593*f[7, 84])/8 - 
       (8979*f[7, 85])/32 - (5593*f[7, 86])/8 - (1361*f[7, 87])/4 + 
       (665*f[7, 88])/8 - (521*f[7, 89])/16 - (513*f[7, 90])/32 - 
       (743*f[7, 91])/8 - (1217*f[7, 92])/4 - (8365*f[7, 93])/32 - 
       (997*f[7, 94])/8 - 421*f[7, 95] + (193*f[7, 96])/16 + 
       (3401*f[7, 97])/16 + (3337*f[7, 98])/16 - (2957*f[7, 99])/16 - 
       (8895*f[7, 100])/8 - (833*f[7, 101])/8 - 41*f[7, 102] - 
       (297*f[7, 103])/4 + (519*f[7, 104])/16 - 129*f[7, 105] + 
       (5429*f[7, 106])/8 - (2329*f[7, 107])/4 + (2825*f[7, 108])/16 + 
       (1787*f[7, 109])/16 - (2827*f[7, 110])/32 - (4207*f[7, 111])/16 + 
       (5199*f[7, 112])/16 - (399*f[7, 113])/8 + (809*f[7, 114])/8 - 
       (669*f[7, 115])/32 + (883*f[7, 116])/8 - (29113*f[7, 117])/8 - 
       (3253*f[7, 118])/32 + (14355*f[7, 119])/32 + (579*f[7, 120])/2 - 
       (1807*f[7, 121])/16 + (6217*f[7, 122])/16 + (2649*f[7, 123])/16 - 
       (555*f[7, 124])/2 - (2359*f[7, 125])/16 + (3931*f[7, 126])/16 - 
       f[7, 133]/2 + (7*f[7, 135])/4 - (5*f[7, 136])/2 - (285*f[7, 137])/8 - 
       (713*f[7, 138])/32 + 8*f[7, 140] + 12*f[7, 144] + 3*f[7, 145] + 
       75*f[7, 146] + (439*f[7, 147])/8 - (2813*f[7, 148])/8 - 
       (34477*f[7, 149])/32 - (2107*f[7, 150])/8)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*SPw3f1[v, u] + (f[7, 34] - f[7, 36] - f[7, 48] - 
       f[7, 51]/2 + 3*f[7, 52] - f[7, 54]/2 + (5*f[7, 56])/4 + f[7, 57]/2 - 
       6*f[7, 58] - (29*f[7, 59])/6 + (3*f[7, 60])/4 + 2*f[7, 61] + 
       (47*f[7, 62])/48 + (47*f[7, 63])/48 - (47*f[7, 64])/48 - 
       (37*f[7, 65])/4 + (39*f[7, 66])/4 + (59*f[7, 67])/8 + 20*f[7, 68] + 
       (39*f[7, 69])/2 - (35*f[7, 70])/8 + (35*f[7, 71])/8 - 20*f[7, 72] + 
       18*f[7, 73] + 20*f[7, 74] + (37*f[7, 75])/24 - (209*f[7, 76])/8 + 
       (165*f[7, 77])/8 - (35*f[7, 78])/4 + (179*f[7, 79])/24 + 
       (10*f[7, 80])/3 - (49*f[7, 81])/2 - (407*f[7, 82])/6 - 
       (71*f[7, 83])/2 - (203*f[7, 84])/24 + (683*f[7, 85])/24 + 
       (1565*f[7, 86])/24 + (361*f[7, 87])/12 - (211*f[7, 88])/24 + 
       (139*f[7, 89])/48 + (7*f[7, 90])/3 + (355*f[7, 91])/12 + 
       (107*f[7, 92])/4 + (581*f[7, 93])/24 + (199*f[7, 94])/8 + 
       (363*f[7, 95])/8 - (33*f[7, 96])/8 - (587*f[7, 97])/24 - 
       (587*f[7, 98])/24 + (875*f[7, 99])/48 + (745*f[7, 100])/6 + 
       (661*f[7, 101])/48 - (173*f[7, 102])/48 + (53*f[7, 103])/6 - 
       (577*f[7, 104])/48 + (47*f[7, 105])/6 - (695*f[7, 106])/12 + 
       (919*f[7, 107])/12 - (511*f[7, 108])/48 - (17*f[7, 109])/16 - 
       f[7, 110]/16 + (1315*f[7, 111])/48 - (581*f[7, 112])/16 + 
       (65*f[7, 113])/48 - (29*f[7, 114])/12 + (79*f[7, 115])/12 - 
       (329*f[7, 116])/24 + (4565*f[7, 117])/12 + (659*f[7, 118])/48 - 
       (577*f[7, 119])/12 - (401*f[7, 120])/16 + (251*f[7, 121])/16 - 
       (2105*f[7, 122])/48 - (299*f[7, 123])/16 + (279*f[7, 124])/8 + 
       (959*f[7, 125])/48 - (1315*f[7, 126])/48 - f[7, 133]/2 - f[7, 135]/4 - 
       (27*f[7, 136])/4 - (51*f[7, 137])/2 - (349*f[7, 138])/16 + f[7, 145] - 
       (17*f[7, 147])/8 + (37*f[7, 148])/4 + (285*f[7, 149])/8 + 
       (1399*f[7, 150])/48)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*SPw3f1[v, u] + 
     (f[7, 15] + 4*f[7, 23] + 3*f[7, 34] - 2*f[7, 35] + 8*f[7, 38] - 
       2*f[7, 40] - 4*f[7, 41] - 4*f[7, 42] - 6*f[7, 45] - 10*f[7, 46] - 
       (3*f[7, 48])/2 + (5*f[7, 49])/2 + 6*f[7, 50] - (5*f[7, 51])/2 + 
       10*f[7, 52] - f[7, 53] + (3*f[7, 54])/2 + 16*f[7, 55] + 
       (41*f[7, 56])/8 + (471*f[7, 57])/16 + 91*f[7, 58] - 
       (197*f[7, 59])/12 + (453*f[7, 60])/32 + (587*f[7, 61])/16 - 
       (173*f[7, 62])/3 - (173*f[7, 63])/3 + (173*f[7, 64])/3 - 
       (1133*f[7, 65])/16 + (849*f[7, 66])/8 + f[7, 67]/16 + 
       (855*f[7, 68])/4 + (841*f[7, 69])/4 - (841*f[7, 70])/16 + 
       (841*f[7, 71])/16 - (795*f[7, 72])/4 + (827*f[7, 73])/4 + 
       (819*f[7, 74])/4 - (2729*f[7, 75])/48 - (8485*f[7, 76])/32 + 
       (8069*f[7, 77])/32 - (785*f[7, 78])/8 + (4439*f[7, 79])/48 - 
       (1075*f[7, 80])/48 + (291*f[7, 81])/4 - (15433*f[7, 82])/24 - 
       (1273*f[7, 83])/4 - (4901*f[7, 84])/48 + (22237*f[7, 85])/96 + 
       (29015*f[7, 86])/48 + (12083*f[7, 87])/48 - (5137*f[7, 88])/48 + 
       (2005*f[7, 89])/24 + (4399*f[7, 90])/96 - (16055*f[7, 91])/24 + 
       (599*f[7, 92])/2 + (17323*f[7, 93])/96 - (2405*f[7, 94])/16 + 
       (7779*f[7, 95])/16 - (3115*f[7, 96])/16 - (3587*f[7, 97])/48 - 
       (3203*f[7, 98])/48 + (9295*f[7, 99])/48 + (48839*f[7, 100])/24 + 
       (11693*f[7, 101])/48 + (17015*f[7, 102])/48 - (127*f[7, 103])/3 + 
       (11143*f[7, 104])/48 - (2503*f[7, 105])/48 - (10759*f[7, 106])/12 + 
       (7477*f[7, 107])/6 - (1843*f[7, 108])/6 - (1563*f[7, 109])/8 + 
       (517*f[7, 110])/32 + (3379*f[7, 111])/24 - (613*f[7, 112])/2 - 
       (10223*f[7, 113])/48 - (7105*f[7, 114])/48 - (14777*f[7, 115])/96 - 
       (1817*f[7, 116])/48 + (135887*f[7, 117])/24 - (8125*f[7, 118])/96 - 
       (76003*f[7, 119])/96 - (619*f[7, 120])/2 + (2475*f[7, 121])/8 - 
       (8395*f[7, 122])/12 - 225*f[7, 123] + (4319*f[7, 124])/8 + 
       (6517*f[7, 125])/12 - (15305*f[7, 126])/48 - 4*f[7, 133] - 
       3*f[7, 135] - 6*f[7, 136] - 191*f[7, 137] - (1517*f[7, 138])/8 + 
       4*f[7, 145] + 183*f[7, 146] + (157*f[7, 147])/2 + 337*f[7, 148] + 
       (4735*f[7, 149])/8 + (6253*f[7, 150])/8)*HPL[{0, 0, 1}, 1 - u]*
      SPw3f1[v, u] + (f[7, 29] - 2*f[7, 34] + 2*f[7, 47] - 8*f[7, 50] + 
       f[7, 51] - 2*f[7, 52] - 8*f[7, 53] - f[7, 54] - 16*f[7, 55] + 
       f[7, 56]/4 - (59*f[7, 57])/8 - 33*f[7, 58] + (19*f[7, 59])/6 - 
       (25*f[7, 60])/16 + (9*f[7, 61])/8 + (527*f[7, 62])/48 + 
       (527*f[7, 63])/48 - (527*f[7, 64])/48 - (283*f[7, 65])/8 + 
       (165*f[7, 66])/4 + (333*f[7, 67])/8 + (225*f[7, 68])/2 + 
       (217*f[7, 69])/2 - (225*f[7, 70])/8 + (225*f[7, 71])/8 - 
       (241*f[7, 72])/2 + (215*f[7, 73])/2 + (225*f[7, 74])/2 + 
       (229*f[7, 75])/6 - (2795*f[7, 76])/16 + (1563*f[7, 77])/16 - 
       (207*f[7, 78])/4 + (755*f[7, 79])/24 + (52*f[7, 80])/3 - 
       249*f[7, 81] - (4939*f[7, 82])/12 - (369*f[7, 83])/2 - 
       (887*f[7, 84])/24 + (8137*f[7, 85])/48 + (1288*f[7, 86])/3 + 
       (622*f[7, 87])/3 - (1003*f[7, 88])/24 + (385*f[7, 89])/48 - 
       (479*f[7, 90])/48 + (473*f[7, 91])/6 + (611*f[7, 92])/4 + 
       (7219*f[7, 93])/48 + (747*f[7, 94])/8 + (2045*f[7, 95])/8 + 
       (29*f[7, 96])/4 - (352*f[7, 97])/3 - (352*f[7, 98])/3 + 
       (5813*f[7, 99])/48 + (7967*f[7, 100])/12 + (3055*f[7, 101])/48 - 
       (35*f[7, 102])/48 + (989*f[7, 103])/24 - (3001*f[7, 104])/48 + 
       (775*f[7, 105])/12 - (3575*f[7, 106])/12 + (4297*f[7, 107])/12 - 
       (2923*f[7, 108])/48 + (87*f[7, 109])/16 + (255*f[7, 110])/8 + 
       (8035*f[7, 111])/48 - (3187*f[7, 112])/16 + (329*f[7, 113])/48 - 
       (169*f[7, 114])/6 + (4123*f[7, 115])/48 - (1003*f[7, 116])/12 + 
       (11557*f[7, 117])/6 + (1663*f[7, 118])/24 - (11173*f[7, 119])/48 - 
       (2091*f[7, 120])/16 + (899*f[7, 121])/16 - (9341*f[7, 122])/48 - 
       (1279*f[7, 123])/16 + (1097*f[7, 124])/8 + (2867*f[7, 125])/48 - 
       (6817*f[7, 126])/48 - 3*f[7, 133] - 4*f[7, 134] - (3*f[7, 135])/2 - 
       11*f[7, 136] - (671*f[7, 137])/2 - (1251*f[7, 138])/4 - 2*f[7, 139] - 
       6*f[7, 145] - 45*f[7, 146] - (59*f[7, 147])/4 - (993*f[7, 148])/8 - 
       (2263*f[7, 149])/8 - (5267*f[7, 150])/24)*HPL[{0, 0, 1}, 1 - v]*
      SPw3f1[v, u] + (-f[7, 8] - f[7, 9] - 4*f[7, 23] + 4*f[7, 32] - 
       2*f[7, 34] + 2*f[7, 36] + f[7, 37] - 8*f[7, 38] - 6*f[7, 39] - 
       2*f[7, 40] - 2*f[7, 41] + 6*f[7, 42] + 18*f[7, 43] + 12*f[7, 44] - 
       2*f[7, 45] + 2*f[7, 46] - 3*f[7, 47] - (11*f[7, 48])/2 + 
       (31*f[7, 49])/2 - 17*f[7, 50] + (17*f[7, 51])/2 - 6*f[7, 52] - 
       13*f[7, 53] + (27*f[7, 54])/2 - 26*f[7, 55] + (69*f[7, 56])/8 - 
       (293*f[7, 57])/16 - 193*f[7, 58] + (517*f[7, 59])/12 + f[7, 60]/32 - 
       (369*f[7, 61])/16 + (3865*f[7, 62])/48 + (3865*f[7, 63])/48 - 
       (3865*f[7, 64])/48 + (2023*f[7, 65])/16 - (1211*f[7, 66])/8 + 
       (485*f[7, 67])/16 - (1033*f[7, 68])/4 - (1051*f[7, 69])/4 + 
       (891*f[7, 70])/16 - (891*f[7, 71])/16 + (1029*f[7, 72])/4 - 
       (1029*f[7, 73])/4 - (1035*f[7, 74])/4 + (388*f[7, 75])/3 + 
       (10431*f[7, 76])/32 - (9783*f[7, 77])/32 + (1043*f[7, 78])/8 - 
       (4283*f[7, 79])/24 + (397*f[7, 80])/24 - (1503*f[7, 81])/2 + 
       (18869*f[7, 82])/24 + (2377*f[7, 83])/4 + (1765*f[7, 84])/12 - 
       (24305*f[7, 85])/96 - (16385*f[7, 86])/24 - (6701*f[7, 87])/24 + 
       (440*f[7, 88])/3 - (6055*f[7, 89])/48 - (9023*f[7, 90])/96 + 
       (22543*f[7, 91])/24 - (6565*f[7, 92])/16 - (20315*f[7, 93])/96 + 
       (2373*f[7, 94])/8 - (2329*f[7, 95])/4 + (4371*f[7, 96])/16 + 
       (7735*f[7, 97])/48 + (7735*f[7, 98])/48 - (8819*f[7, 99])/48 - 
       (58753*f[7, 100])/24 - (3493*f[7, 101])/12 - (27949*f[7, 102])/48 + 
       (979*f[7, 103])/24 - (5519*f[7, 104])/12 + (997*f[7, 105])/24 + 
       (8467*f[7, 106])/6 - (17551*f[7, 107])/12 + (22777*f[7, 108])/48 + 
       (6225*f[7, 109])/16 - (1695*f[7, 110])/32 - (4933*f[7, 111])/48 + 
       (5631*f[7, 112])/16 + (14305*f[7, 113])/48 + (5977*f[7, 114])/24 + 
       (37477*f[7, 115])/96 + (473*f[7, 116])/24 - (180991*f[7, 117])/24 + 
       (13511*f[7, 118])/96 + (101285*f[7, 119])/96 + (7237*f[7, 120])/16 - 
       (7107*f[7, 121])/16 + (48587*f[7, 122])/48 + (4889*f[7, 123])/16 - 
       (2989*f[7, 124])/4 - (38279*f[7, 125])/48 + (21109*f[7, 126])/48 + 
       2*f[7, 133] + 4*f[7, 134] + 2*f[7, 135] - 92*f[7, 136] + 
       (3267*f[7, 137])/4 + (11763*f[7, 138])/16 + 2*f[7, 139] - 
       8*f[7, 144] - 32*f[7, 145] - 181*f[7, 146] - (235*f[7, 147])/2 + 
       (509*f[7, 148])/2 + (11705*f[7, 149])/16 - (3631*f[7, 150])/12)*
      HPL[{0, 1, 1}, 1 - u]*SPw3f1[v, u] + 
     (-f[7, 29]/2 + 2*f[7, 34] - (3*f[7, 47])/2 + 6*f[7, 50] - f[7, 51]/2 + 
       2*f[7, 52] + 6*f[7, 53] + f[7, 54]/2 + 12*f[7, 55] + f[7, 56]/2 + 
       (19*f[7, 57])/4 + (57*f[7, 58])/2 - (17*f[7, 59])/6 + (9*f[7, 60])/8 - 
       f[7, 61]/4 - (989*f[7, 62])/96 - (989*f[7, 63])/96 + 
       (989*f[7, 64])/96 + (57*f[7, 65])/2 - (131*f[7, 66])/4 - 
       (271*f[7, 67])/8 - (175*f[7, 68])/2 - (169*f[7, 69])/2 + 
       (177*f[7, 70])/8 - (177*f[7, 71])/8 + (187*f[7, 72])/2 - 
       (169*f[7, 73])/2 - (175*f[7, 74])/2 - (191*f[7, 75])/6 + 
       (545*f[7, 76])/4 - (149*f[7, 77])/2 + (159*f[7, 78])/4 - 
       (1193*f[7, 79])/48 - (191*f[7, 80])/12 + (399*f[7, 81])/2 + 
       (3917*f[7, 82])/12 + 148*f[7, 83] + (1403*f[7, 84])/48 - 
       (3229*f[7, 85])/24 - (8083*f[7, 86])/24 - (3919*f[7, 87])/24 + 
       (1555*f[7, 88])/48 - (511*f[7, 89])/96 + (277*f[7, 90])/48 - 
       (2041*f[7, 91])/24 - (1919*f[7, 92])/16 - (1439*f[7, 93])/12 - 
       (1277*f[7, 94])/16 - (3185*f[7, 95])/16 - (137*f[7, 96])/16 + 
       (4577*f[7, 97])/48 + (4577*f[7, 98])/48 - (9155*f[7, 99])/96 - 
       (6007*f[7, 100])/12 - (4495*f[7, 101])/96 + (785*f[7, 102])/96 - 
       (1661*f[7, 103])/48 + (5329*f[7, 104])/96 - (659*f[7, 105])/12 + 
       (5507*f[7, 106])/24 - (6439*f[7, 107])/24 + (4237*f[7, 108])/96 - 
       (165*f[7, 109])/32 - (899*f[7, 110])/32 - (12925*f[7, 111])/96 + 
       (5041*f[7, 112])/32 - (1187*f[7, 113])/96 + (491*f[7, 114])/24 - 
       (839*f[7, 115])/12 + (803*f[7, 116])/12 - (35291*f[7, 117])/24 - 
       (5621*f[7, 118])/96 + (527*f[7, 119])/3 + (3285*f[7, 120])/32 - 
       (1321*f[7, 121])/32 + (14243*f[7, 122])/96 + (1985*f[7, 123])/32 - 
       (1669*f[7, 124])/16 - (3833*f[7, 125])/96 + (10579*f[7, 126])/96 + 
       f[7, 133] + 2*f[7, 134] + (29*f[7, 136])/4 + (469*f[7, 137])/4 + 
       (1717*f[7, 138])/16 + f[7, 139] + 6*f[7, 145] + (81*f[7, 146])/2 + 
       (57*f[7, 147])/2 - (883*f[7, 148])/16 - (2577*f[7, 149])/16 + 
       (245*f[7, 150])/12)*SPw3f1[v, u]^2 + 
     (f[7, 21] - f[7, 26]/2 + f[7, 28]/2 - (11*f[7, 30])/16 - f[7, 31] + 
       f[7, 32] - (5*f[7, 33])/6 - f[7, 35]/2 - f[7, 36]/2 - f[7, 37]/16 - 
       (19*f[7, 38])/6 - f[7, 39]/2 - f[7, 40] + f[7, 41]/4 + f[7, 42]/4 + 
       (3*f[7, 43])/2 + 3*f[7, 44] + (5*f[7, 45])/4 + (9*f[7, 46])/4 + 
       (5*f[7, 47])/16 + f[7, 48]/2 + (73*f[7, 49])/32 - (139*f[7, 50])/48 + 
       (23*f[7, 51])/32 + 2*f[7, 52] - (35*f[7, 53])/12 + (11*f[7, 54])/16 - 
       (193*f[7, 55])/48 + (741*f[7, 56])/128 - (963*f[7, 57])/256 - 
       (545*f[7, 58])/16 + (193*f[7, 59])/48 + (1671*f[7, 60])/512 + 
       (2129*f[7, 61])/256 + (1465*f[7, 62])/96 + (1465*f[7, 63])/96 - 
       (1465*f[7, 64])/96 + (40307*f[7, 65])/768 - (6413*f[7, 66])/128 - 
       (1661*f[7, 67])/256 - (17159*f[7, 68])/192 - (17407*f[7, 69])/192 + 
       (15143*f[7, 70])/768 - (15335*f[7, 71])/768 + (5503*f[7, 72])/64 - 
       (5573*f[7, 73])/64 - (5591*f[7, 74])/64 + (9011*f[7, 75])/768 + 
       (61105*f[7, 76])/512 - (44785*f[7, 77])/512 + (5493*f[7, 78])/128 - 
       (14555*f[7, 79])/256 - (9257*f[7, 80])/768 - (13691*f[7, 81])/96 + 
       (39519*f[7, 82])/128 + (16007*f[7, 83])/64 + (12069*f[7, 84])/256 - 
       (55063*f[7, 85])/512 - (70263*f[7, 86])/256 - (94537*f[7, 87])/768 + 
       (32251*f[7, 88])/768 - (12713*f[7, 89])/384 - (41407*f[7, 90])/1536 + 
       (18841*f[7, 91])/128 - (13459*f[7, 92])/96 - (53913*f[7, 93])/512 + 
       (34289*f[7, 94])/768 - (50813*f[7, 95])/256 + (41209*f[7, 96])/768 + 
       (20837*f[7, 97])/256 + (20709*f[7, 98])/256 - (20347*f[7, 99])/256 - 
       (260899*f[7, 100])/384 - (57013*f[7, 101])/768 - 
       (106031*f[7, 102])/768 - (203*f[7, 103])/32 - (72889*f[7, 104])/768 - 
       (21871*f[7, 105])/768 + (41585*f[7, 106])/96 - (38309*f[7, 107])/96 + 
       (11875*f[7, 108])/96 + (40237*f[7, 109])/384 - 
       (55639*f[7, 110])/1536 - (31427*f[7, 111])/384 + (4301*f[7, 112])/32 + 
       (33359*f[7, 113])/768 + (18853*f[7, 114])/256 + 
       (119689*f[7, 115])/1536 + (16979*f[7, 116])/768 - 
       (846451*f[7, 117])/384 + (2771*f[7, 118])/512 + 
       (452887*f[7, 119])/1536 + (59291*f[7, 120])/384 - 
       (40555*f[7, 121])/384 + (52291*f[7, 122])/192 + 
       (16379*f[7, 123])/192 - (73385*f[7, 124])/384 - (1383*f[7, 125])/8 + 
       (101047*f[7, 126])/768 + (7*f[7, 132])/12 - (7*f[7, 134])/12 + 
       (17*f[7, 135])/24 - (333*f[7, 136])/16 + (1073*f[7, 137])/12 + 
       (31085*f[7, 138])/384 + (5*f[7, 144])/6 - (7*f[7, 145])/6 - 
       (295*f[7, 146])/12 - (395*f[7, 147])/64 - (18113*f[7, 148])/192 - 
       (13963*f[7, 149])/64 - (63067*f[7, 150])/384)*HPL[{1}, 1 - u]^3*
      SPw3f2[u, v] + (f[7, 37]/8 - f[7, 47]/8 - f[7, 48]/8 + f[7, 49]/16 + 
       f[7, 50]/2 - f[7, 51]/8 - f[7, 52]/2 + (5*f[7, 53])/8 - 
       (3*f[7, 54])/16 + (5*f[7, 55])/4 - (13*f[7, 56])/32 + 
       (15*f[7, 57])/32 + f[7, 58]/4 - (53*f[7, 59])/96 + (5*f[7, 60])/64 - 
       (27*f[7, 61])/32 - (257*f[7, 62])/384 - (257*f[7, 63])/384 + 
       (257*f[7, 64])/384 - (99*f[7, 65])/32 + 4*f[7, 66] + (11*f[7, 67])/8 + 
       (13*f[7, 68])/2 + (27*f[7, 69])/4 - (15*f[7, 70])/8 + 
       (15*f[7, 71])/8 - 6*f[7, 72] + (109*f[7, 73])/16 + (13*f[7, 74])/2 - 
       (269*f[7, 75])/384 - (299*f[7, 76])/32 + (465*f[7, 77])/64 - 
       (27*f[7, 78])/8 + (1391*f[7, 79])/384 + (761*f[7, 80])/384 + 
       (49*f[7, 81])/16 - (2387*f[7, 82])/96 - (295*f[7, 83])/16 - 
       (1463*f[7, 84])/384 + (3659*f[7, 85])/384 + (8261*f[7, 86])/384 + 
       (3749*f[7, 87])/384 - (1303*f[7, 88])/384 + (629*f[7, 89])/384 + 
       (977*f[7, 90])/384 + (509*f[7, 91])/96 + (1279*f[7, 92])/128 + 
       (3149*f[7, 93])/384 + (317*f[7, 94])/128 + (2009*f[7, 95])/128 - 
       (225*f[7, 96])/64 - (1711*f[7, 97])/192 - (1711*f[7, 98])/192 + 
       (1289*f[7, 99])/192 + (307*f[7, 100])/6 + (2213*f[7, 101])/384 + 
       (745*f[7, 102])/192 + (331*f[7, 103])/192 + (229*f[7, 104])/384 + 
       (1193*f[7, 105])/384 - (763*f[7, 106])/24 + (2837*f[7, 107])/96 - 
       (2813*f[7, 108])/384 - (675*f[7, 109])/128 + (61*f[7, 110])/16 + 
       (3107*f[7, 111])/384 - (1533*f[7, 112])/128 + (47*f[7, 113])/192 - 
       (1549*f[7, 114])/384 - (1291*f[7, 115])/384 - (1301*f[7, 116])/384 + 
       (15439*f[7, 117])/96 + (23*f[7, 118])/12 - (1009*f[7, 119])/48 - 
       (1531*f[7, 120])/128 + (901*f[7, 121])/128 - (7519*f[7, 122])/384 - 
       (941*f[7, 123])/128 + (913*f[7, 124])/64 + (4003*f[7, 125])/384 - 
       (1031*f[7, 126])/96 - f[7, 135]/16 + f[7, 136]/8 - (25*f[7, 137])/4 - 
       (317*f[7, 138])/64 + f[7, 145]/2 - f[7, 146]/4 - (31*f[7, 147])/32 + 
       (385*f[7, 148])/64 + (583*f[7, 149])/32 + (565*f[7, 150])/48)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*SPw3f2[u, v] + 
     ((3*f[7, 22])/8 + f[7, 25]/2 - (4*f[7, 26])/5 + (4*f[7, 27])/5 + 
       (2*f[7, 28])/5 + f[7, 29]/2 - (4*f[7, 31])/5 + (9*f[7, 32])/5 + 
       (12*f[7, 33])/5 + f[7, 34]/4 + f[7, 35]/5 - (7*f[7, 36])/5 + 
       f[7, 37]/20 - (16*f[7, 38])/5 + (8*f[7, 39])/5 + (4*f[7, 40])/5 - 
       f[7, 41]/20 - f[7, 42]/20 + (11*f[7, 43])/5 + (27*f[7, 44])/5 + 
       (2*f[7, 45])/5 + (2*f[7, 46])/5 + (11*f[7, 47])/20 + 
       (87*f[7, 48])/40 + (83*f[7, 49])/40 - 3*f[7, 50] + (81*f[7, 51])/40 + 
       f[7, 52]/2 - (51*f[7, 53])/20 + (11*f[7, 54])/4 - (19*f[7, 55])/4 + 
       (1131*f[7, 56])/160 - (1053*f[7, 57])/64 - (731*f[7, 58])/20 + 
       (2779*f[7, 59])/240 + (653*f[7, 60])/640 - (49*f[7, 61])/64 + 
       (17497*f[7, 62])/960 + (17497*f[7, 63])/960 - (17497*f[7, 64])/960 + 
       (14299*f[7, 65])/320 - (7163*f[7, 66])/160 - (403*f[7, 67])/320 - 
       (6729*f[7, 68])/80 - (6763*f[7, 69])/80 + (7451*f[7, 70])/320 - 
       (1399*f[7, 71])/64 + (6637*f[7, 72])/80 - (6953*f[7, 73])/80 - 
       (6673*f[7, 74])/80 + (181*f[7, 75])/15 + (13515*f[7, 76])/128 - 
       (53287*f[7, 77])/640 + (1217*f[7, 78])/32 - (40909*f[7, 79])/960 + 
       (941*f[7, 80])/960 - (923*f[7, 81])/8 + (125561*f[7, 82])/480 + 
       193*f[7, 83] + (39391*f[7, 84])/960 - (179861*f[7, 85])/1920 - 
       (55951*f[7, 86])/240 - (11903*f[7, 87])/120 + (6703*f[7, 88])/192 - 
       (33301*f[7, 89])/960 - (48269*f[7, 90])/1920 + (14135*f[7, 91])/96 - 
       (35643*f[7, 92])/320 - (155339*f[7, 93])/1920 + (15029*f[7, 94])/320 - 
       (56701*f[7, 95])/320 + (20219*f[7, 96])/320 + (12539*f[7, 97])/192 + 
       (65191*f[7, 98])/960 - (14353*f[7, 99])/192 - (67061*f[7, 100])/96 - 
       (37361*f[7, 101])/480 - (127699*f[7, 102])/960 + 
       (4069*f[7, 103])/480 - (2033*f[7, 104])/24 - (6589*f[7, 105])/960 + 
       (43603*f[7, 106])/120 - (98101*f[7, 107])/240 + 
       (20495*f[7, 108])/192 + (27801*f[7, 109])/320 - 
       (16327*f[7, 110])/640 - (64213*f[7, 111])/960 + (4519*f[7, 112])/40 + 
       (29783*f[7, 113])/480 + (57509*f[7, 114])/960 + 
       (119323*f[7, 115])/1920 + (1625*f[7, 116])/192 - 
       (992827*f[7, 117])/480 + (32909*f[7, 118])/1920 + 
       (548933*f[7, 119])/1920 + (8221*f[7, 120])/64 - 
       (33589*f[7, 121])/320 + (233819*f[7, 122])/960 + 
       (24607*f[7, 123])/320 - (14559*f[7, 124])/80 - 
       (165419*f[7, 125])/960 + (52301*f[7, 126])/480 + (4*f[7, 132])/5 - 
       (7*f[7, 133])/8 - (3*f[7, 134])/10 + (83*f[7, 135])/80 - 
       (2393*f[7, 136])/80 + (14843*f[7, 137])/160 + (51763*f[7, 138])/640 - 
       2*f[7, 140] - 2*f[7, 144] + (7*f[7, 145])/2 - (29*f[7, 146])/4 + 
       (481*f[7, 147])/32 - (2755*f[7, 148])/32 - (23001*f[7, 149])/128 - 
       (3227*f[7, 150])/32)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*SPw3f2[u, v] + 
     (-f[7, 56]/2 + 2*f[7, 58] + f[7, 59]/3 - f[7, 60]/4 - f[7, 61] - 
       (25*f[7, 62])/24 - (25*f[7, 63])/24 + (25*f[7, 64])/24 - 
       (5*f[7, 65])/2 + 2*f[7, 66] + 4*f[7, 68] + 4*f[7, 69] - f[7, 70] + 
       f[7, 71] - 4*f[7, 72] + 4*f[7, 73] + 4*f[7, 74] + f[7, 75]/12 - 
       (11*f[7, 76])/2 + (15*f[7, 77])/4 - f[7, 78] + (13*f[7, 79])/6 - 
       f[7, 80]/12 + 6*f[7, 81] - (38*f[7, 82])/3 - 9*f[7, 83] - 
       (5*f[7, 84])/3 + (53*f[7, 85])/12 + (73*f[7, 86])/6 + 
       (65*f[7, 87])/12 - (4*f[7, 88])/3 + (43*f[7, 89])/24 + 
       (5*f[7, 90])/12 - (59*f[7, 91])/6 + (23*f[7, 92])/4 + 
       (47*f[7, 93])/12 - (13*f[7, 94])/4 + (33*f[7, 95])/4 - 
       (5*f[7, 96])/2 - (35*f[7, 97])/12 - (35*f[7, 98])/12 + 
       (83*f[7, 99])/24 + (91*f[7, 100])/3 + (79*f[7, 101])/24 + 
       (169*f[7, 102])/24 - f[7, 103]/12 + (113*f[7, 104])/24 + 
       (5*f[7, 105])/12 - (101*f[7, 106])/6 + (103*f[7, 107])/6 - 
       (139*f[7, 108])/24 - (39*f[7, 109])/8 + (9*f[7, 110])/8 + 
       (73*f[7, 111])/24 - (37*f[7, 112])/8 - (79*f[7, 113])/24 - 
       (23*f[7, 114])/6 - (10*f[7, 115])/3 + f[7, 116]/12 + 
       (581*f[7, 117])/6 - (19*f[7, 118])/24 - (161*f[7, 119])/12 - 
       (51*f[7, 120])/8 + (33*f[7, 121])/8 - (239*f[7, 122])/24 - 
       (23*f[7, 123])/8 + 7*f[7, 124] + (167*f[7, 125])/24 - 
       (103*f[7, 126])/24 - (5*f[7, 136])/4 - 7*f[7, 137] - 
       (69*f[7, 138])/16 + (13*f[7, 146])/2 + (15*f[7, 147])/4 + 
       (19*f[7, 148])/4 + (7*f[7, 149])/4 + (683*f[7, 150])/48)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*SPw3f2[u, v] + 
     (f[7, 34] - f[7, 36] - f[7, 48] - f[7, 51]/2 + 3*f[7, 52] - f[7, 54]/2 + 
       (3*f[7, 56])/2 - (3*f[7, 57])/8 - 2*f[7, 58] - 5*f[7, 59] + 
       (15*f[7, 60])/16 + (21*f[7, 61])/8 - (15*f[7, 62])/16 - 
       (15*f[7, 63])/16 + (15*f[7, 64])/16 - (69*f[7, 65])/8 + 
       (19*f[7, 66])/2 + (21*f[7, 67])/4 + (39*f[7, 68])/2 + 19*f[7, 69] - 
       (17*f[7, 70])/4 + (17*f[7, 71])/4 - (39*f[7, 72])/2 + 
       (35*f[7, 73])/2 + (39*f[7, 74])/2 - (3*f[7, 75])/2 - 
       (373*f[7, 76])/16 + (309*f[7, 77])/16 - (19*f[7, 78])/2 + 
       (31*f[7, 79])/4 + (13*f[7, 80])/8 - 8*f[7, 81] - (251*f[7, 82])/4 - 
       35*f[7, 83] - (17*f[7, 84])/2 + (407*f[7, 85])/16 + 58*f[7, 86] + 
       (207*f[7, 87])/8 - 9*f[7, 88] + (73*f[7, 89])/16 + (39*f[7, 90])/16 + 
       (5*f[7, 91])/2 + (103*f[7, 92])/4 + (341*f[7, 93])/16 + 
       (55*f[7, 94])/4 + (173*f[7, 95])/4 - (31*f[7, 96])/4 - 
       (43*f[7, 97])/2 - (43*f[7, 98])/2 + (263*f[7, 99])/16 + 
       (517*f[7, 100])/4 + (225*f[7, 101])/16 + (111*f[7, 102])/16 + 
       (23*f[7, 103])/4 - (29*f[7, 104])/16 + (27*f[7, 105])/8 - 
       (251*f[7, 106])/4 + (309*f[7, 107])/4 - (233*f[7, 108])/16 - 
       (89*f[7, 109])/16 - (5*f[7, 110])/8 + (353*f[7, 111])/16 - 
       (521*f[7, 112])/16 - (79*f[7, 113])/16 - (37*f[7, 114])/8 - 
       (9*f[7, 115])/16 - (41*f[7, 116])/4 + (787*f[7, 117])/2 + 
       (15*f[7, 118])/2 - (823*f[7, 119])/16 - (389*f[7, 120])/16 + 
       (307*f[7, 121])/16 - (783*f[7, 122])/16 - (303*f[7, 123])/16 + 
       (309*f[7, 124])/8 + (457*f[7, 125])/16 - (435*f[7, 126])/16 - 
       f[7, 133]/2 - (3*f[7, 135])/4 + (27*f[7, 136])/4 - (99*f[7, 137])/4 - 
       (39*f[7, 138])/2 - 3*f[7, 145] - 20*f[7, 146] - (103*f[7, 147])/8 + 
       (45*f[7, 148])/8 + (413*f[7, 149])/16 - (147*f[7, 150])/16)*
      HPL[{0, 0, 1}, 1 - u]*SPw3f2[u, v] + 
     (f[7, 28] + 2*f[7, 32] - f[7, 36] + f[7, 37]/2 - 4*f[7, 38] - f[7, 39] - 
       f[7, 40] + f[7, 41] + f[7, 42] + 3*f[7, 43] + 6*f[7, 44] + f[7, 45] + 
       3*f[7, 46] + f[7, 47]/2 - f[7, 48]/4 + (11*f[7, 49])/4 - 
       (9*f[7, 50])/2 + (5*f[7, 51])/4 - (3*f[7, 53])/2 + (7*f[7, 54])/4 - 
       2*f[7, 55] + (87*f[7, 56])/8 - (123*f[7, 57])/8 - 102*f[7, 58] + 
       (47*f[7, 59])/4 + (51*f[7, 60])/16 + (71*f[7, 61])/8 + 
       (805*f[7, 62])/16 + (805*f[7, 63])/16 - (805*f[7, 64])/16 + 
       (1069*f[7, 65])/8 - (563*f[7, 66])/4 - (145*f[7, 67])/8 - 
       (1111*f[7, 68])/4 - (555*f[7, 69])/2 + (543*f[7, 70])/8 - 
       (543*f[7, 71])/8 + (1107*f[7, 72])/4 - (1107*f[7, 73])/4 - 
       275*f[7, 74] + (925*f[7, 75])/32 + (6013*f[7, 76])/16 - 
       (4485*f[7, 77])/16 + (267*f[7, 78])/2 - (4559*f[7, 79])/32 + 
       (15*f[7, 80])/32 - (1967*f[7, 81])/8 + (7153*f[7, 82])/8 + 
       (2271*f[7, 83])/4 + (4159*f[7, 84])/32 - (10299*f[7, 85])/32 - 
       (27225*f[7, 86])/32 - (12113*f[7, 87])/32 + (3879*f[7, 88])/32 - 
       (1565*f[7, 89])/16 - (1585*f[7, 90])/32 + 553*f[7, 91] - 
       (12935*f[7, 92])/32 - (9073*f[7, 93])/32 + (4315*f[7, 94])/32 - 
       (19571*f[7, 95])/32 + (681*f[7, 96])/4 + (817*f[7, 97])/4 + 
       (809*f[7, 98])/4 - (7795*f[7, 99])/32 - 2219*f[7, 100] - 
       (1953*f[7, 101])/8 - (12857*f[7, 102])/32 - (39*f[7, 103])/16 - 
       (4057*f[7, 104])/16 - (1151*f[7, 105])/32 + (4693*f[7, 106])/4 - 
       (5093*f[7, 107])/4 + (1445*f[7, 108])/4 + 258*f[7, 109] - 
       (2311*f[7, 110])/32 - (3701*f[7, 111])/16 + (6383*f[7, 112])/16 + 
       (6341*f[7, 113])/32 + (6487*f[7, 114])/32 + (5713*f[7, 115])/32 + 
       (2179*f[7, 116])/32 - (13385*f[7, 117])/2 + (915*f[7, 118])/32 + 
       (14567*f[7, 119])/16 + (1709*f[7, 120])/4 - (653*f[7, 121])/2 + 
       (6423*f[7, 122])/8 + (497*f[7, 123])/2 - (2303*f[7, 124])/4 - 
       (8675*f[7, 125])/16 + (12507*f[7, 126])/32 - f[7, 134] + 
       (3*f[7, 135])/4 - (205*f[7, 136])/4 + (549*f[7, 137])/2 + 
       (2161*f[7, 138])/8 + 2*f[7, 144] - f[7, 145] - 100*f[7, 146] - 
       (241*f[7, 147])/8 - (5345*f[7, 148])/16 - (5753*f[7, 149])/8 - 
       (8469*f[7, 150])/16)*HPL[{0, 1, 1}, 1 - u]*SPw3f2[u, v] + 
     (-f[7, 49]/4 + f[7, 51]/4 + f[7, 53]/2 + f[7, 54]/2 + f[7, 55]/2 + 
       (3*f[7, 58])/2 + (19*f[7, 59])/24 - f[7, 60]/4 - f[7, 61]/2 - 
       (53*f[7, 62])/96 - (53*f[7, 63])/96 + (53*f[7, 64])/96 - f[7, 67]/2 - 
       f[7, 68] - f[7, 69] + f[7, 72] - (5*f[7, 73])/4 - f[7, 74] - 
       (5*f[7, 75])/96 + (23*f[7, 76])/16 - (3*f[7, 77])/4 + f[7, 78]/2 - 
       (31*f[7, 79])/96 - (67*f[7, 80])/96 + (15*f[7, 81])/4 + 
       (103*f[7, 82])/24 + (55*f[7, 84])/96 - (187*f[7, 85])/96 - 
       (379*f[7, 86])/96 - (187*f[7, 87])/96 + (71*f[7, 88])/96 + 
       (29*f[7, 89])/96 - (31*f[7, 90])/96 - (157*f[7, 91])/24 - 
       (63*f[7, 92])/32 - (115*f[7, 93])/96 - (127*f[7, 94])/32 - 
       (85*f[7, 95])/32 - (7*f[7, 96])/16 + (131*f[7, 97])/48 + 
       (83*f[7, 98])/48 - (55*f[7, 99])/48 - (7*f[7, 100])/3 + 
       (11*f[7, 101])/96 + (17*f[7, 102])/6 - (7*f[7, 103])/6 + 
       (277*f[7, 104])/96 - (97*f[7, 105])/96 + (7*f[7, 106])/3 - 
       (55*f[7, 107])/24 + (7*f[7, 108])/96 - (19*f[7, 109])/32 - 
       f[7, 110]/4 - (181*f[7, 111])/96 + (93*f[7, 112])/32 - 
       (35*f[7, 113])/24 - (43*f[7, 114])/96 - (109*f[7, 115])/96 + 
       (169*f[7, 116])/96 - (299*f[7, 117])/24 - (91*f[7, 118])/48 + 
       (25*f[7, 119])/24 + (41*f[7, 120])/32 - (27*f[7, 121])/32 + 
       (269*f[7, 122])/96 + (43*f[7, 123])/32 - (39*f[7, 124])/16 - 
       (77*f[7, 125])/96 + (101*f[7, 126])/48 + (3*f[7, 136])/4 + f[7, 137] + 
       f[7, 138]/2 + (3*f[7, 146])/2 + (3*f[7, 147])/4 - (5*f[7, 148])/8 - 
       3*f[7, 149] - (35*f[7, 150])/48)*HPL[{1}, 1 - v]*SPw2f1[u, v]*
      SPw3f2[u, v] + (-f[7, 49]/8 + f[7, 51]/8 + f[7, 53]/4 + f[7, 54]/4 + 
       f[7, 55]/4 + (3*f[7, 58])/4 + (19*f[7, 59])/48 - f[7, 60]/8 - 
       f[7, 61]/4 - (53*f[7, 62])/192 - (53*f[7, 63])/192 + 
       (53*f[7, 64])/192 - f[7, 67]/4 - f[7, 68]/2 - f[7, 69]/2 + 
       f[7, 72]/2 - (5*f[7, 73])/8 - f[7, 74]/2 - (5*f[7, 75])/192 + 
       (23*f[7, 76])/32 - (3*f[7, 77])/8 + f[7, 78]/4 - (31*f[7, 79])/192 - 
       (67*f[7, 80])/192 + (15*f[7, 81])/8 + (103*f[7, 82])/48 + 
       (55*f[7, 84])/192 - (187*f[7, 85])/192 - (379*f[7, 86])/192 - 
       (187*f[7, 87])/192 + (71*f[7, 88])/192 + (29*f[7, 89])/192 - 
       (31*f[7, 90])/192 - (157*f[7, 91])/48 - (63*f[7, 92])/64 - 
       (115*f[7, 93])/192 - (127*f[7, 94])/64 - (85*f[7, 95])/64 - 
       (7*f[7, 96])/32 + (131*f[7, 97])/96 + (83*f[7, 98])/96 - 
       (55*f[7, 99])/96 - (7*f[7, 100])/6 + (11*f[7, 101])/192 + 
       (17*f[7, 102])/12 - (7*f[7, 103])/12 + (277*f[7, 104])/192 - 
       (97*f[7, 105])/192 + (7*f[7, 106])/6 - (55*f[7, 107])/48 + 
       (7*f[7, 108])/192 - (19*f[7, 109])/64 - f[7, 110]/8 - 
       (181*f[7, 111])/192 + (93*f[7, 112])/64 - (35*f[7, 113])/48 - 
       (43*f[7, 114])/192 - (109*f[7, 115])/192 + (169*f[7, 116])/192 - 
       (299*f[7, 117])/48 - (91*f[7, 118])/96 + (25*f[7, 119])/48 + 
       (41*f[7, 120])/64 - (27*f[7, 121])/64 + (269*f[7, 122])/192 + 
       (43*f[7, 123])/64 - (39*f[7, 124])/32 - (77*f[7, 125])/192 + 
       (101*f[7, 126])/96 + (3*f[7, 136])/8 + f[7, 137]/2 + f[7, 138]/4 + 
       (3*f[7, 146])/4 + (3*f[7, 147])/8 - (5*f[7, 148])/16 - 
       (3*f[7, 149])/2 - (35*f[7, 150])/96)*SPw3f2[u, v]^2 + 
     (f[7, 21]/2 - (8*f[7, 26])/15 + f[7, 27]/30 + (4*f[7, 28])/15 - 
       (11*f[7, 30])/48 - (31*f[7, 31])/30 + (8*f[7, 32])/15 - 
       (11*f[7, 33])/15 - (8*f[7, 35])/15 - (4*f[7, 36])/15 - 
       (17*f[7, 37])/240 - (89*f[7, 38])/30 - (4*f[7, 39])/15 - 
       (4*f[7, 40])/5 + (2*f[7, 41])/15 + (2*f[7, 42])/15 + (4*f[7, 43])/5 + 
       (8*f[7, 44])/5 + (101*f[7, 45])/60 + (151*f[7, 46])/60 + 
       (21*f[7, 47])/80 + (13*f[7, 48])/15 + (589*f[7, 49])/480 - 
       (13*f[7, 50])/4 + (323*f[7, 51])/480 + 2*f[7, 52] - 
       (823*f[7, 53])/240 + (31*f[7, 54])/48 - (29*f[7, 55])/12 + 
       (8113*f[7, 56])/1920 - (811*f[7, 57])/768 - (5993*f[7, 58])/240 + 
       (1283*f[7, 59])/720 + (18379*f[7, 60])/7680 + (5833*f[7, 61])/768 + 
       (32429*f[7, 62])/2880 + (32429*f[7, 63])/2880 - 
       (32429*f[7, 64])/2880 + (152917*f[7, 65])/3840 - 
       (22743*f[7, 66])/640 - (4743*f[7, 67])/1280 - (60077*f[7, 68])/960 - 
       (20303*f[7, 69])/320 + (49253*f[7, 70])/3840 - (9953*f[7, 71])/768 + 
       (56461*f[7, 72])/960 - (58219*f[7, 73])/960 - (19503*f[7, 74])/320 + 
       (53401*f[7, 75])/5760 + (41175*f[7, 76])/512 - 
       (142247*f[7, 77])/2560 + (3763*f[7, 78])/128 - 
       (121283*f[7, 79])/2880 - (14869*f[7, 80])/1440 - 
       (22831*f[7, 81])/192 + (1269703*f[7, 82])/5760 + 
       (36239*f[7, 83])/192 + (190969*f[7, 84])/5760 - 
       (1730503*f[7, 85])/23040 - (267949*f[7, 86])/1440 - 
       (59957*f[7, 87])/720 + (33643*f[7, 88])/1152 - 
       (142729*f[7, 89])/5760 - (452137*f[7, 90])/23040 + 
       (131179*f[7, 91])/1152 - (384679*f[7, 92])/3840 - 
       (1740517*f[7, 93])/23040 + (68101*f[7, 94])/1920 - 
       (260449*f[7, 95])/1920 + (142627*f[7, 96])/3840 + 
       (134179*f[7, 97])/2304 + (665903*f[7, 98])/11520 - 
       (30887*f[7, 99])/576 - (522487*f[7, 100])/1152 - 
       (532931*f[7, 101])/11520 - (148039*f[7, 102])/1440 - 
       (26803*f[7, 103])/5760 - (169493*f[7, 104])/2304 - 
       (124861*f[7, 105])/5760 + (223687*f[7, 106])/720 - 
       (370279*f[7, 107])/1440 + (102953*f[7, 108])/1152 + 
       (38971*f[7, 109])/480 - (223651*f[7, 110])/7680 - 
       (325747*f[7, 111])/5760 + (58261*f[7, 112])/640 + 
       (41101*f[7, 113])/1440 + (314861*f[7, 114])/5760 + 
       (1421879*f[7, 115])/23040 + (13043*f[7, 116])/1152 - 
       (8734991*f[7, 117])/5760 + (136927*f[7, 118])/23040 + 
       (4631299*f[7, 119])/23040 + (2611*f[7, 120])/24 - 
       (35029*f[7, 121])/480 + (1084811*f[7, 122])/5760 + 
       (113233*f[7, 123])/1920 - (254029*f[7, 124])/1920 - 
       (171479*f[7, 125])/1440 + (253919*f[7, 126])/2880 + f[7, 132]/15 - 
       f[7, 134]/15 + (23*f[7, 135])/60 - (1091*f[7, 136])/120 - 
       (469*f[7, 137])/240 - (13253*f[7, 138])/1920 + (14*f[7, 144])/15 + 
       f[7, 145]/4 - (931*f[7, 146])/30 - (2333*f[7, 147])/320 - 
       (43279*f[7, 148])/320 - (13049*f[7, 149])/40 - (135661*f[7, 150])/640)*
      HPL[{1}, 1 - u]^3*SPw3f2[v, u] + (-f[7, 136]/8 + (43*f[7, 137])/8 + 
       (393*f[7, 138])/64 + f[7, 145]/2 - (5*f[7, 146])/8 - (7*f[7, 147])/4 + 
       (51*f[7, 148])/8 + (491*f[7, 149])/32 + (2581*f[7, 150])/192)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*SPw3f2[v, u] + 
     (f[7, 135]/16 - f[7, 136]/8 + (79*f[7, 137])/32 + (299*f[7, 138])/128 + 
       (3*f[7, 146])/8 + (3*f[7, 147])/32 + (23*f[7, 148])/8 + 
       (855*f[7, 149])/128 + (437*f[7, 150])/96)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*SPw3f2[v, u] + (-f[7, 22]/8 + f[7, 25]/2 - 
       (4*f[7, 26])/5 - (6*f[7, 27])/5 + (2*f[7, 28])/5 + f[7, 29]/2 + 
       f[7, 30]/2 - (4*f[7, 31])/5 + (4*f[7, 32])/5 + (12*f[7, 33])/5 + 
       f[7, 35]/5 - (9*f[7, 36])/10 + f[7, 37]/20 - (16*f[7, 38])/5 - 
       (7*f[7, 39])/5 + (4*f[7, 40])/5 + (7*f[7, 41])/10 + (7*f[7, 42])/10 + 
       (6*f[7, 43])/5 + (17*f[7, 44])/5 + (9*f[7, 45])/10 + 
       (29*f[7, 46])/10 + (3*f[7, 47])/10 + (17*f[7, 48])/40 + 
       (49*f[7, 49])/20 - 3*f[7, 50] + (19*f[7, 51])/10 + (5*f[7, 52])/4 - 
       (33*f[7, 53])/10 + (19*f[7, 54])/8 - 6*f[7, 55] + (269*f[7, 56])/40 - 
       (241*f[7, 57])/32 - (851*f[7, 58])/20 + (809*f[7, 59])/240 + 
       (89*f[7, 60])/320 + (167*f[7, 61])/32 + (10681*f[7, 62])/480 + 
       (10681*f[7, 63])/480 - (10681*f[7, 64])/480 + (11747*f[7, 65])/160 - 
       (5899*f[7, 66])/80 - (2019*f[7, 67])/160 - (1363*f[7, 68])/10 - 
       (5519*f[7, 69])/40 + (5363*f[7, 70])/160 - (1059*f[7, 71])/32 + 
       (2703*f[7, 72])/20 - (5579*f[7, 73])/40 - (1361*f[7, 74])/10 + 
       (11579*f[7, 75])/960 + (11747*f[7, 76])/64 - (44581*f[7, 77])/320 + 
       (263*f[7, 78])/4 - (35347*f[7, 79])/480 - (4717*f[7, 80])/480 - 
       (255*f[7, 81])/2 + (54199*f[7, 82])/120 + (4851*f[7, 83])/16 + 
       (31633*f[7, 84])/480 - (19831*f[7, 85])/120 - (399269*f[7, 86])/960 - 
       (177089*f[7, 87])/960 + (5833*f[7, 88])/96 - (6037*f[7, 89])/120 - 
       (33227*f[7, 90])/960 + (9347*f[7, 91])/48 - (64353*f[7, 92])/320 - 
       (16969*f[7, 93])/120 + (6467*f[7, 94])/160 - (47903*f[7, 95])/160 + 
       (13977*f[7, 96])/160 + (11003*f[7, 97])/96 + (55063*f[7, 98])/480 - 
       (23831*f[7, 99])/192 - (52601*f[7, 100])/48 - (29273*f[7, 101])/240 - 
       (170279*f[7, 102])/960 - (1171*f[7, 103])/480 - (10213*f[7, 104])/96 - 
       (12817*f[7, 105])/480 + (141571*f[7, 106])/240 - 
       (19177*f[7, 107])/30 + (16907*f[7, 108])/96 + (689*f[7, 109])/5 - 
       (6863*f[7, 110])/160 - (59569*f[7, 111])/480 + (63757*f[7, 112])/320 + 
       (35053*f[7, 113])/480 + (47597*f[7, 114])/480 + 
       (85759*f[7, 115])/960 + (2789*f[7, 116])/96 - (800191*f[7, 117])/240 + 
       (5387*f[7, 118])/960 + (435719*f[7, 119])/960 + (7083*f[7, 120])/32 - 
       (25187*f[7, 121])/160 + (93331*f[7, 122])/240 + 
       (20781*f[7, 123])/160 - (11507*f[7, 124])/40 - 
       (123377*f[7, 125])/480 + (2783*f[7, 126])/15 + (4*f[7, 132])/5 - 
       (7*f[7, 133])/8 - (4*f[7, 134])/5 + (123*f[7, 135])/80 - 
       (3393*f[7, 136])/80 + (27043*f[7, 137])/160 + (99863*f[7, 138])/640 + 
       2*f[7, 144] - (3*f[7, 145])/2 + (39*f[7, 146])/4 + 
       (581*f[7, 147])/32 - (417*f[7, 148])/4 - (34725*f[7, 149])/128 - 
       (5641*f[7, 150])/48)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*SPw3f2[v, u] + 
     (f[7, 136]/4 - (5*f[7, 137])/4 - (11*f[7, 138])/16 - f[7, 146]/2 - 
       (17*f[7, 148])/16 - (51*f[7, 149])/16 - (9*f[7, 150])/8)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*SPw3f2[v, u] + 
     (f[7, 136]/4 - (23*f[7, 137])/8 - (85*f[7, 138])/32 - f[7, 146]/2 - 
       (51*f[7, 148])/16 - (243*f[7, 149])/32 - (199*f[7, 150])/48)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*SPw3f2[v, u] + 
     ((3*f[7, 34])/2 + f[7, 35] - f[7, 36] - 4*f[7, 38] + f[7, 40] - 
       f[7, 45] + f[7, 46] - f[7, 48]/4 - f[7, 49]/4 + 2*f[7, 50] - 
       f[7, 51]/4 + 3*f[7, 52] + (7*f[7, 53])/2 - f[7, 54]/4 - f[7, 55] - 
       (11*f[7, 56])/16 - (237*f[7, 57])/32 - (13*f[7, 58])/2 - 
       (7*f[7, 59])/8 - (247*f[7, 60])/64 - (265*f[7, 61])/32 + 
       (35*f[7, 62])/8 + (35*f[7, 63])/8 - (35*f[7, 64])/8 + 
       (487*f[7, 65])/32 - (447*f[7, 66])/16 - (335*f[7, 67])/32 - 
       (481*f[7, 68])/8 - (471*f[7, 69])/8 + (519*f[7, 70])/32 - 
       (519*f[7, 71])/32 + (481*f[7, 72])/8 - (509*f[7, 73])/8 - 
       (473*f[7, 74])/8 - (49*f[7, 75])/32 + (5463*f[7, 76])/64 - 
       (3791*f[7, 77])/64 + (415*f[7, 78])/16 - (641*f[7, 79])/32 - 
       (91*f[7, 80])/32 + (537*f[7, 81])/8 + (3333*f[7, 82])/16 + 
       (671*f[7, 83])/8 + (839*f[7, 84])/32 - (5105*f[7, 85])/64 - 
       (6397*f[7, 86])/32 - (2917*f[7, 87])/32 + (883*f[7, 88])/32 - 
       (225*f[7, 89])/16 - (659*f[7, 90])/64 + (1175*f[7, 91])/16 - 
       (1359*f[7, 92])/16 - (4023*f[7, 93])/64 - (35*f[7, 94])/32 - 
       (4347*f[7, 95])/32 + (905*f[7, 96])/32 + (1083*f[7, 97])/32 + 
       (1083*f[7, 98])/32 - (2073*f[7, 99])/32 - (7855*f[7, 100])/16 - 
       (1681*f[7, 101])/32 - (1581*f[7, 102])/32 + (19*f[7, 103])/8 - 
       (451*f[7, 104])/32 - (371*f[7, 105])/32 + (1763*f[7, 106])/8 - 
       (1121*f[7, 107])/4 + (257*f[7, 108])/4 + (525*f[7, 109])/16 - 
       (1315*f[7, 110])/64 - (1025*f[7, 111])/16 + (789*f[7, 112])/8 + 
       (789*f[7, 113])/32 + (979*f[7, 114])/32 + (69*f[7, 115])/64 + 
       (839*f[7, 116])/32 - (21423*f[7, 117])/16 - (7*f[7, 118])/64 + 
       (11411*f[7, 119])/64 + (673*f[7, 120])/8 - (1045*f[7, 121])/16 + 
       (1301*f[7, 122])/8 + 59*f[7, 123] - (1969*f[7, 124])/16 - 
       (209*f[7, 125])/2 + (2823*f[7, 126])/32 + (3*f[7, 133])/2 - 
       f[7, 135]/4 + (21*f[7, 136])/4 + (455*f[7, 137])/4 + 
       (1817*f[7, 138])/16 - 5*f[7, 145] - (45*f[7, 146])/2 - 
       (75*f[7, 147])/8 - (145*f[7, 148])/8 - 25*f[7, 149] - 
       (2153*f[7, 150])/24)*HPL[{0, 0, 1}, 1 - u]*SPw3f2[v, u] + 
     (f[7, 28] + f[7, 133]/2 + f[7, 134] + f[7, 135]/2 - (15*f[7, 136])/4 + 
       (527*f[7, 137])/8 + (1965*f[7, 138])/32 - 2*f[7, 144] - f[7, 145] + 
       9*f[7, 146] - f[7, 147]/4 + (581*f[7, 148])/8 + (5407*f[7, 149])/32 + 
       (1855*f[7, 150])/24)*HPL[{0, 1, 1}, 1 - u]*SPw3f2[v, u] + 
     ((143*f[7, 136])/4 - (297*f[7, 137])/2 - (1167*f[7, 138])/8 - 
       2*f[7, 145] - 69*f[7, 146] - (47*f[7, 147])/2 - (2933*f[7, 148])/16 - 
       (1581*f[7, 149])/4 - (15427*f[7, 150])/48)*HPL[{0, 1, 1}, 1 - v]*
      SPw3f2[v, u] + (-f[7, 46] + f[7, 47]/4 - f[7, 50] + f[7, 52]/2 - 
       f[7, 53] - 2*f[7, 55] - f[7, 56]/16 - (33*f[7, 57])/32 - 4*f[7, 58] + 
       (11*f[7, 59])/24 - (19*f[7, 60])/64 - (5*f[7, 61])/32 + 
       (29*f[7, 62])/24 + (29*f[7, 63])/24 - (29*f[7, 64])/24 - 
       (5*f[7, 65])/32 + (25*f[7, 66])/16 + (105*f[7, 67])/32 + 
       (43*f[7, 68])/8 + (41*f[7, 69])/8 - (41*f[7, 70])/32 + 
       (41*f[7, 71])/32 - (55*f[7, 72])/8 + (43*f[7, 73])/8 + 
       (47*f[7, 74])/8 + (269*f[7, 75])/96 - (641*f[7, 76])/64 + 
       (341*f[7, 77])/64 - (41*f[7, 78])/16 + (103*f[7, 79])/96 + 
       (79*f[7, 80])/96 - (175*f[7, 81])/8 - (1145*f[7, 82])/48 - 
       (19*f[7, 83])/8 - (157*f[7, 84])/96 + (2009*f[7, 85])/192 + 
       (2401*f[7, 86])/96 + (1225*f[7, 87])/96 - (209*f[7, 88])/96 - 
       (37*f[7, 89])/48 - (385*f[7, 90])/192 + (209*f[7, 91])/48 + 
       (155*f[7, 92])/16 + (1403*f[7, 93])/192 + (289*f[7, 94])/32 + 
       (439*f[7, 95])/32 + (93*f[7, 96])/32 - (679*f[7, 97])/96 - 
       (679*f[7, 98])/96 + (641*f[7, 99])/96 + (1351*f[7, 100])/48 + 
       (265*f[7, 101])/96 - (503*f[7, 102])/96 + (11*f[7, 103])/3 - 
       (745*f[7, 104])/96 + (373*f[7, 105])/96 - (263*f[7, 106])/24 + 
       (209*f[7, 107])/12 - (31*f[7, 108])/24 + (69*f[7, 109])/16 + 
       (85*f[7, 110])/64 + (455*f[7, 111])/48 - (187*f[7, 112])/16 + 
       (131*f[7, 113])/96 + (7*f[7, 114])/96 + (1475*f[7, 115])/192 - 
       (625*f[7, 116])/96 + (4087*f[7, 117])/48 + (991*f[7, 118])/192 - 
       (1763*f[7, 119])/192 - (21*f[7, 120])/4 + (25*f[7, 121])/16 - 
       (25*f[7, 122])/3 - (35*f[7, 123])/8 + (95*f[7, 124])/16 + 
       f[7, 125]/3 - (781*f[7, 126])/96 - (3*f[7, 136])/4 - 
       (95*f[7, 137])/8 - (19*f[7, 138])/4 + f[7, 145] - (33*f[7, 146])/4 - 
       (13*f[7, 147])/2 + (31*f[7, 148])/8 + (119*f[7, 149])/32 - 
       (137*f[7, 150])/96)*HPL[{1}, 1 - u]*SPw2f1[u, v]*SPw3f2[v, u] + 
     (f[7, 34] - f[7, 47] + 4*f[7, 50] + f[7, 52] + 4*f[7, 53] + 8*f[7, 55] + 
       (13*f[7, 56])/8 + (37*f[7, 57])/16 + 20*f[7, 58] - (11*f[7, 59])/4 + 
       (31*f[7, 60])/32 + (25*f[7, 61])/16 - (119*f[7, 62])/16 - 
       (119*f[7, 63])/16 + (119*f[7, 64])/16 + (361*f[7, 65])/16 - 
       (205*f[7, 66])/8 - (397*f[7, 67])/16 - (261*f[7, 68])/4 - 
       (253*f[7, 69])/4 + (261*f[7, 70])/16 - (261*f[7, 71])/16 + 
       (277*f[7, 72])/4 - (255*f[7, 73])/4 - (261*f[7, 74])/4 - 
       (47*f[7, 75])/2 + (3233*f[7, 76])/32 - (1769*f[7, 77])/32 + 
       (243*f[7, 78])/8 - (83*f[7, 79])/4 - (27*f[7, 80])/2 + 
       (273*f[7, 81])/2 + (1977*f[7, 82])/8 + (497*f[7, 83])/4 + 
       (183*f[7, 84])/8 - (3229*f[7, 85])/32 - (1999*f[7, 86])/8 - 
       (971*f[7, 87])/8 + (193*f[7, 88])/8 - (75*f[7, 89])/16 + 
       (57*f[7, 90])/32 - (533*f[7, 91])/8 - (1455*f[7, 92])/16 - 
       (2935*f[7, 93])/32 - (467*f[7, 94])/8 - (1183*f[7, 95])/8 - 
       (95*f[7, 96])/16 + (1179*f[7, 97])/16 + (1179*f[7, 98])/16 - 
       (1127*f[7, 99])/16 - (2965*f[7, 100])/8 - (137*f[7, 101])/4 + 
       (65*f[7, 102])/16 - (211*f[7, 103])/8 + (303*f[7, 104])/8 - 
       (171*f[7, 105])/4 + (357*f[7, 106])/2 - (791*f[7, 107])/4 + 
       (557*f[7, 108])/16 + (11*f[7, 109])/16 - (721*f[7, 110])/32 - 
       (1601*f[7, 111])/16 + (1879*f[7, 112])/16 - (191*f[7, 113])/16 + 
       (69*f[7, 114])/4 - (1491*f[7, 115])/32 + (195*f[7, 116])/4 - 
       (8891*f[7, 117])/8 - (1381*f[7, 118])/32 + (4249*f[7, 119])/32 + 
       (1267*f[7, 120])/16 - (505*f[7, 121])/16 + (1803*f[7, 122])/16 + 
       (759*f[7, 123])/16 - (159*f[7, 124])/2 - (487*f[7, 125])/16 + 
       (1315*f[7, 126])/16 + (3*f[7, 133])/2 - f[7, 135]/4 + 
       (53*f[7, 136])/4 + (117*f[7, 137])/2 + (803*f[7, 138])/16 + 
       3*f[7, 145] + 12*f[7, 146] + (115*f[7, 147])/8 - (589*f[7, 148])/8 - 
       (791*f[7, 149])/4 - (3055*f[7, 150])/48)*SPw3f1[v, u]*SPw3f2[v, u] + 
     (-f[7, 135]/4 + f[7, 136]/2 - (75*f[7, 137])/8 - (265*f[7, 138])/32 - 
       (3*f[7, 146])/2 - f[7, 147]/8 - (161*f[7, 148])/16 - 
       (799*f[7, 149])/32 - (733*f[7, 150])/48)*SPw3f2[u, v]*SPw3f2[v, u] + 
     (-f[7, 48]/4 - f[7, 51]/8 - f[7, 54]/8 - f[7, 55]/2 + (3*f[7, 56])/32 + 
       f[7, 57]/64 + (3*f[7, 58])/4 - (35*f[7, 59])/48 + (19*f[7, 60])/128 + 
       (13*f[7, 61])/64 - (71*f[7, 62])/192 - (71*f[7, 63])/192 + 
       (71*f[7, 64])/192 - (123*f[7, 65])/64 + (71*f[7, 66])/32 + 
       (39*f[7, 67])/64 + (79*f[7, 68])/16 + (79*f[7, 69])/16 - 
       (63*f[7, 70])/64 + (63*f[7, 71])/64 - (79*f[7, 72])/16 + 
       (79*f[7, 73])/16 + (79*f[7, 74])/16 - (125*f[7, 75])/192 - 
       (899*f[7, 76])/128 + (627*f[7, 77])/128 - (79*f[7, 78])/32 + 
       (503*f[7, 79])/192 + (89*f[7, 80])/192 + (51*f[7, 81])/16 - 
       (1543*f[7, 82])/96 - (129*f[7, 83])/16 - (449*f[7, 84])/192 + 
       (2335*f[7, 85])/384 + (3047*f[7, 86])/192 + (1391*f[7, 87])/192 - 
       (469*f[7, 88])/192 + (209*f[7, 89])/192 + (349*f[7, 90])/384 - 
       (479*f[7, 91])/96 + (259*f[7, 92])/32 + (1693*f[7, 93])/384 + 
       (39*f[7, 94])/64 + (719*f[7, 95])/64 - (131*f[7, 96])/64 - 
       (911*f[7, 97])/192 - (815*f[7, 98])/192 + (407*f[7, 99])/96 + 
       (3401*f[7, 100])/96 + (91*f[7, 101])/24 + (427*f[7, 102])/96 + 
       (47*f[7, 103])/48 + (209*f[7, 104])/96 + (311*f[7, 105])/192 - 
       (247*f[7, 106])/12 + (965*f[7, 107])/48 - (1025*f[7, 108])/192 - 
       (181*f[7, 109])/64 + (217*f[7, 110])/128 + (887*f[7, 111])/192 - 
       (519*f[7, 112])/64 - (49*f[7, 113])/24 - (499*f[7, 114])/192 - 
       (779*f[7, 115])/384 - (515*f[7, 116])/192 + (10559*f[7, 117])/96 + 
       (431*f[7, 118])/384 - (5521*f[7, 119])/384 - (485*f[7, 120])/64 + 
       (339*f[7, 121])/64 - (2731*f[7, 122])/192 - (313*f[7, 123])/64 + 
       (163*f[7, 124])/16 + (1609*f[7, 125])/192 - (763*f[7, 126])/96 - 
       f[7, 135]/4 + (7*f[7, 136])/8 - (131*f[7, 137])/16 - 
       (255*f[7, 138])/32 - f[7, 145]/2 + f[7, 146]/8 + (5*f[7, 147])/8 + 
       (15*f[7, 148])/32 + (179*f[7, 149])/64 - (1997*f[7, 150])/192)*
      SPw3f2[v, u]^2 + (-f[7, 23] + f[7, 40] - f[7, 41] + 2*f[7, 42] - 
       (3*f[7, 47])/2 + f[7, 48]/2 + f[7, 50] + f[7, 53] - (5*f[7, 56])/8 + 
       (19*f[7, 57])/16 - (5*f[7, 58])/2 - (3*f[7, 59])/2 - 
       (15*f[7, 60])/32 - (17*f[7, 61])/16 + (49*f[7, 62])/32 + 
       (49*f[7, 63])/32 - (49*f[7, 64])/32 - (25*f[7, 65])/16 + 
       (9*f[7, 66])/8 + (29*f[7, 67])/16 + (9*f[7, 68])/4 + (9*f[7, 69])/4 - 
       (9*f[7, 70])/16 + (9*f[7, 71])/16 - (9*f[7, 72])/4 + (9*f[7, 73])/4 + 
       (9*f[7, 74])/4 + (21*f[7, 75])/16 - (129*f[7, 76])/32 + 
       (81*f[7, 77])/32 - (9*f[7, 78])/8 + (19*f[7, 79])/16 + 
       (9*f[7, 80])/4 - (11*f[7, 81])/2 - (93*f[7, 82])/8 - 10*f[7, 83] - 
       (27*f[7, 84])/16 + (159*f[7, 85])/32 + (157*f[7, 86])/16 + 
       (81*f[7, 87])/16 - (15*f[7, 88])/16 - (21*f[7, 89])/32 + 
       (33*f[7, 90])/32 + 24*f[7, 91] + (53*f[7, 92])/16 + 
       (181*f[7, 93])/32 + (129*f[7, 94])/16 + (91*f[7, 95])/16 + 
       (17*f[7, 96])/8 - (55*f[7, 97])/8 - (55*f[7, 98])/8 + 
       (93*f[7, 99])/32 + (43*f[7, 100])/8 + (17*f[7, 101])/32 - 
       (179*f[7, 102])/32 + (55*f[7, 103])/16 - (203*f[7, 104])/32 + 
       (11*f[7, 105])/2 - (63*f[7, 106])/8 + (35*f[7, 107])/8 + 
       (43*f[7, 108])/32 + (31*f[7, 109])/32 + (27*f[7, 110])/16 + 
       (213*f[7, 111])/32 - (225*f[7, 112])/32 + (175*f[7, 113])/32 + 
       (7*f[7, 114])/8 + (95*f[7, 115])/32 - (7*f[7, 116])/2 + 
       (61*f[7, 117])/2 + (51*f[7, 118])/8 - (77*f[7, 119])/32 - 
       (159*f[7, 120])/32 + (31*f[7, 121])/32 - (143*f[7, 122])/32 - 
       (67*f[7, 123])/32 + (41*f[7, 124])/16 - (59*f[7, 125])/32 - 
       (139*f[7, 126])/32 + 3*f[7, 136] - (141*f[7, 137])/8 - 
       (519*f[7, 138])/32 - 11*f[7, 146] - (9*f[7, 147])/2 - 
       (75*f[7, 148])/4 - (1085*f[7, 149])/32 - (543*f[7, 150])/16)*
      HPL[{1}, 1 - u]^2*SPw4f1[u, v] + (f[7, 133]/2 + f[7, 136]/2 + 
       (203*f[7, 137])/8 + (709*f[7, 138])/32 - f[7, 145] - f[7, 146] - 
       (13*f[7, 147])/4 + 26*f[7, 148] + (2091*f[7, 149])/32 + 
       (351*f[7, 150])/16)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*SPw4f1[u, v] + 
     (-f[7, 56]/4 + f[7, 57]/8 + 4*f[7, 58] + f[7, 59]/6 - f[7, 60]/16 - 
       (3*f[7, 61])/8 - (31*f[7, 62])/12 - (31*f[7, 63])/12 + 
       (31*f[7, 64])/12 - (23*f[7, 65])/8 + (11*f[7, 66])/4 - 
       (5*f[7, 67])/8 + (11*f[7, 68])/2 + (11*f[7, 69])/2 - (11*f[7, 70])/8 + 
       (11*f[7, 71])/8 - (11*f[7, 72])/2 + (11*f[7, 73])/2 + 
       (11*f[7, 74])/2 - (35*f[7, 75])/24 - (115*f[7, 76])/16 + 
       (119*f[7, 77])/16 - (11*f[7, 78])/4 + (31*f[7, 79])/12 - 
       (17*f[7, 80])/12 + (17*f[7, 81])/2 - (163*f[7, 82])/12 - 9*f[7, 83] - 
       (7*f[7, 84])/3 + (223*f[7, 85])/48 + (359*f[7, 86])/24 + 
       (143*f[7, 87])/24 - (13*f[7, 88])/6 + (37*f[7, 89])/12 + 
       (7*f[7, 90])/48 - (305*f[7, 91])/12 + (27*f[7, 92])/4 + 
       (181*f[7, 93])/48 - 9*f[7, 94] + 12*f[7, 95] - (51*f[7, 96])/8 - 
       (17*f[7, 97])/24 - (17*f[7, 98])/24 + (109*f[7, 99])/24 + 
       (713*f[7, 100])/12 + (185*f[7, 101])/24 + (335*f[7, 102])/24 - 
       (23*f[7, 103])/12 + (235*f[7, 104])/24 - (8*f[7, 105])/3 - 
       (151*f[7, 106])/6 + (109*f[7, 107])/3 - (59*f[7, 108])/6 - 
       (15*f[7, 109])/2 - (5*f[7, 110])/16 + (7*f[7, 111])/3 - 
       (45*f[7, 112])/8 - (103*f[7, 113])/12 - (71*f[7, 114])/12 - 
       (305*f[7, 115])/48 + (7*f[7, 116])/6 + (1973*f[7, 117])/12 - 
       (193*f[7, 118])/48 - (1153*f[7, 119])/48 - (17*f[7, 120])/2 + 
       8*f[7, 121] - (209*f[7, 122])/12 - (9*f[7, 123])/2 + 
       (25*f[7, 124])/2 + (179*f[7, 125])/12 - (41*f[7, 126])/6 + f[7, 136] - 
       (23*f[7, 137])/4 - (89*f[7, 138])/16 + 6*f[7, 146] + 
       (13*f[7, 147])/4 + (37*f[7, 148])/4 + (201*f[7, 149])/16 + 
       (433*f[7, 150])/24)*HPL[{1}, 1 - v]^2*SPw4f1[u, v] + 
     (f[7, 29] - f[7, 34] + 2*f[7, 45] + 2*f[7, 46] + f[7, 47]/2 - 
       (3*f[7, 48])/2 - f[7, 49]/2 - 4*f[7, 50] + (3*f[7, 51])/2 - 
       2*f[7, 52] - 3*f[7, 53] + f[7, 54]/2 - 7*f[7, 55] - f[7, 56]/4 + 
       (3*f[7, 57])/4 - 2*f[7, 58] - (7*f[7, 59])/6 + f[7, 60]/8 - 
       (3*f[7, 61])/4 - (11*f[7, 62])/48 - (11*f[7, 63])/48 + 
       (11*f[7, 64])/48 - (149*f[7, 65])/4 + (89*f[7, 66])/2 + 
       (105*f[7, 67])/4 + 100*f[7, 68] + 99*f[7, 69] - (101*f[7, 70])/4 + 
       (101*f[7, 71])/4 - 105*f[7, 72] + (197*f[7, 73])/2 + 101*f[7, 74] + 
       (967*f[7, 75])/48 - 149*f[7, 76] + (745*f[7, 77])/8 - 
       (99*f[7, 78])/2 + (1889*f[7, 79])/48 + (527*f[7, 80])/48 - 
       (379*f[7, 81])/4 - (4217*f[7, 82])/12 - (381*f[7, 83])/2 - 
       (1769*f[7, 84])/48 + (6635*f[7, 85])/48 + (16985*f[7, 86])/48 + 
       (7973*f[7, 87])/48 - (1825*f[7, 88])/48 + (923*f[7, 89])/48 + 
       (215*f[7, 90])/48 - (301*f[7, 91])/12 + (2263*f[7, 92])/16 + 
       (5831*f[7, 93])/48 + (585*f[7, 94])/16 + (3551*f[7, 95])/16 - 
       (155*f[7, 96])/8 - (2209*f[7, 97])/24 - (2257*f[7, 98])/24 + 
       (587*f[7, 99])/6 + (4121*f[7, 100])/6 + (3413*f[7, 101])/48 + 
       (173*f[7, 102])/3 + (245*f[7, 103])/12 + (193*f[7, 104])/48 + 
       (2183*f[7, 105])/48 - (3955*f[7, 106])/12 + (4475*f[7, 107])/12 - 
       (3959*f[7, 108])/48 - (589*f[7, 109])/16 + (119*f[7, 110])/4 + 
       (5981*f[7, 111])/48 - (2557*f[7, 112])/16 - (59*f[7, 113])/3 - 
       (2167*f[7, 114])/48 + (1169*f[7, 115])/48 - (2471*f[7, 116])/48 + 
       (23773*f[7, 117])/12 + (427*f[7, 118])/12 - (6097*f[7, 119])/24 - 
       (2131*f[7, 120])/16 + (1123*f[7, 121])/16 - (9841*f[7, 122])/48 - 
       (1219*f[7, 123])/16 + (1163*f[7, 124])/8 + (4633*f[7, 125])/48 - 
       (377*f[7, 126])/3 - 2*f[7, 133] - (3*f[7, 135])/2 + (11*f[7, 136])/2 - 
       (835*f[7, 137])/4 - (3039*f[7, 138])/16 - 16*f[7, 146] - 
       (35*f[7, 147])/4 - 13*f[7, 148] - (251*f[7, 149])/16 - 
       (166*f[7, 150])/3)*HPL[{0, 1}, 1 - v]*SPw4f1[u, v] + 
     (-f[7, 34] + 2*f[7, 45] + 2*f[7, 46] + f[7, 47]/2 - (3*f[7, 48])/2 - 
       f[7, 49]/2 - 4*f[7, 50] + f[7, 51]/2 - 2*f[7, 52] - 3*f[7, 53] + 
       (3*f[7, 54])/2 - 7*f[7, 55] - f[7, 57]/8 - (4*f[7, 59])/3 - 
       (3*f[7, 60])/16 - (9*f[7, 61])/8 + (59*f[7, 62])/48 + 
       (59*f[7, 63])/48 - (59*f[7, 64])/48 - (293*f[7, 65])/8 + 
       (177*f[7, 66])/4 + (197*f[7, 67])/8 + (195*f[7, 68])/2 + 
       (193*f[7, 69])/2 - (197*f[7, 70])/8 + (197*f[7, 71])/8 - 
       (205*f[7, 72])/2 + 99*f[7, 73] + (197*f[7, 74])/2 + 
       (797*f[7, 75])/48 - (2323*f[7, 76])/16 + (1349*f[7, 77])/16 - 
       (193*f[7, 78])/4 + (1951*f[7, 79])/48 + (457*f[7, 80])/48 - 
       (305*f[7, 81])/4 - (1048*f[7, 82])/3 - 185*f[7, 83] - 
       (1819*f[7, 84])/48 + (3257*f[7, 85])/24 + (16615*f[7, 86])/48 + 
       (7843*f[7, 87])/48 - (1883*f[7, 88])/48 + (817*f[7, 89])/48 + 
       (67*f[7, 90])/12 - (80*f[7, 91])/3 + (2299*f[7, 92])/16 + 
       (1441*f[7, 93])/12 + (591*f[7, 94])/16 + (3493*f[7, 95])/16 - 
       (61*f[7, 96])/4 - (557*f[7, 97])/6 - (569*f[7, 98])/6 + 
       (565*f[7, 99])/6 + (7595*f[7, 100])/12 + (2977*f[7, 101])/48 + 
       (329*f[7, 102])/6 + (271*f[7, 103])/12 + (209*f[7, 104])/48 + 
       (2269*f[7, 105])/48 - (3971*f[7, 106])/12 + (3961*f[7, 107])/12 - 
       (3781*f[7, 108])/48 - (499*f[7, 109])/16 + (577*f[7, 110])/16 + 
       (5839*f[7, 111])/48 - (2575*f[7, 112])/16 - (241*f[7, 113])/12 - 
       (1973*f[7, 114])/48 + (491*f[7, 115])/24 - (2677*f[7, 116])/48 + 
       (5636*f[7, 117])/3 + (1751*f[7, 118])/48 - (11467*f[7, 119])/48 - 
       (2113*f[7, 120])/16 + (1157*f[7, 121])/16 - (10235*f[7, 122])/48 - 
       (1249*f[7, 123])/16 + (1187*f[7, 124])/8 + (4823*f[7, 125])/48 - 
       (797*f[7, 126])/6 - 2*f[7, 133] - f[7, 135]/2 - (3*f[7, 136])/2 - 
       (597*f[7, 137])/4 - (2161*f[7, 138])/16 + 2*f[7, 146] - 
       (13*f[7, 147])/4 + (105*f[7, 148])/2 + (2039*f[7, 149])/16 + 
       (305*f[7, 150])/6)*SPw2f1[u, v]*SPw4f1[u, v] + 
     (-f[7, 23] + 2*f[7, 32] + f[7, 37]/2 + 3*f[7, 39] + f[7, 40] + 
       f[7, 41] + 2*f[7, 42] + 5*f[7, 43] + 8*f[7, 44] + f[7, 45] + 
       f[7, 46] + f[7, 48]/4 + (7*f[7, 49])/4 - (3*f[7, 50])/2 + 
       (7*f[7, 51])/4 - f[7, 52]/2 + (3*f[7, 53])/2 + (15*f[7, 54])/4 - 
       (3*f[7, 55])/2 + (175*f[7, 56])/16 - (547*f[7, 57])/32 - 
       (113*f[7, 58])/2 + (251*f[7, 59])/24 + (359*f[7, 60])/64 + 
       (105*f[7, 61])/32 + (2705*f[7, 62])/96 + (2705*f[7, 63])/96 - 
       (2705*f[7, 64])/96 + (2753*f[7, 65])/32 - (1501*f[7, 66])/16 - 
       (573*f[7, 67])/32 - (1521*f[7, 68])/8 - (1517*f[7, 69])/8 + 
       (1509*f[7, 70])/32 - (1509*f[7, 71])/32 + (1533*f[7, 72])/8 - 
       (1515*f[7, 73])/8 - (1503*f[7, 74])/8 + (59*f[7, 75])/6 + 
       (16869*f[7, 76])/64 - (12305*f[7, 77])/64 + (1517*f[7, 78])/16 - 
       (4567*f[7, 79])/48 - (35*f[7, 80])/24 - (439*f[7, 81])/4 + 
       (29863*f[7, 82])/48 + (3087*f[7, 83])/8 + (1051*f[7, 84])/12 - 
       (43903*f[7, 85])/192 - (28807*f[7, 86])/48 - (13075*f[7, 87])/48 + 
       (1927*f[7, 88])/24 - (5831*f[7, 89])/96 - (5089*f[7, 90])/192 + 
       (15365*f[7, 91])/48 - (8851*f[7, 92])/32 - (38641*f[7, 93])/192 + 
       (1093*f[7, 94])/16 - (3361*f[7, 95])/8 + (3113*f[7, 96])/32 + 
       (14633*f[7, 97])/96 + (14537*f[7, 98])/96 - (16195*f[7, 99])/96 - 
       (71111*f[7, 100])/48 - (7801*f[7, 101])/48 - (23687*f[7, 102])/96 - 
       (577*f[7, 103])/48 - (883*f[7, 104])/6 - (1861*f[7, 105])/48 + 
       (4621*f[7, 106])/6 - (20303*f[7, 107])/24 + (21977*f[7, 108])/96 + 
       (4873*f[7, 109])/32 - (3225*f[7, 110])/64 - (16313*f[7, 111])/96 + 
       (9027*f[7, 112])/32 + (11825*f[7, 113])/96 + (6167*f[7, 114])/48 + 
       (18431*f[7, 115])/192 + (2923*f[7, 116])/48 - (214349*f[7, 117])/48 + 
       (1021*f[7, 118])/192 + (115843*f[7, 119])/192 + (9005*f[7, 120])/32 - 
       (6687*f[7, 121])/32 + (50491*f[7, 122])/96 + (5257*f[7, 123])/32 - 
       (1495*f[7, 124])/4 - (32419*f[7, 125])/96 + (25577*f[7, 126])/96 - 
       f[7, 135]/4 - (117*f[7, 136])/4 + (1525*f[7, 137])/8 + 
       (5921*f[7, 138])/32 + f[7, 145] - (111*f[7, 146])/2 - 
       (77*f[7, 147])/8 - 220*f[7, 148] - (16117*f[7, 149])/32 - 
       (7823*f[7, 150])/24)*HPL[{1}, 1 - u]^2*SPw4f1[v, u] + 
     (-3*f[7, 8] + f[7, 15] + 2*f[7, 23] + 12*f[7, 24] - 3*f[7, 25] - 
       3*f[7, 29] - 3*f[7, 34] + 12*f[7, 43] + 12*f[7, 44] - 6*f[7, 45] - 
       6*f[7, 46] + (11*f[7, 47])/2 + (11*f[7, 48])/2 + (23*f[7, 49])/2 - 
       16*f[7, 50] + (3*f[7, 51])/2 - 16*f[7, 52] - 17*f[7, 53] + 
       (3*f[7, 54])/2 - 37*f[7, 55] + (15*f[7, 56])/4 - 32*f[7, 57] - 
       153*f[7, 58] + (79*f[7, 59])/3 - 2*f[7, 60] + (11*f[7, 61])/2 + 
       (1661*f[7, 62])/24 + (1661*f[7, 63])/24 - (1661*f[7, 64])/24 + 
       (197*f[7, 65])/2 - (223*f[7, 66])/2 + (123*f[7, 67])/4 - 
       147*f[7, 68] - 161*f[7, 69] + (151*f[7, 70])/4 - (151*f[7, 71])/4 + 
       143*f[7, 72] - (309*f[7, 73])/2 - 152*f[7, 74] + (5197*f[7, 75])/48 + 
       (1587*f[7, 76])/8 - (903*f[7, 77])/4 + 88*f[7, 78] - 
       (5731*f[7, 79])/48 + (1709*f[7, 80])/48 - (2615*f[7, 81])/4 + 
       (4549*f[7, 82])/12 + (735*f[7, 83])/2 + (4687*f[7, 84])/48 - 
       (5641*f[7, 85])/48 - (17065*f[7, 86])/48 - (6469*f[7, 87])/48 + 
       (4103*f[7, 88])/48 - (2063*f[7, 89])/24 - (3511*f[7, 90])/48 + 
       (3115*f[7, 91])/6 - (3573*f[7, 92])/16 - (4165*f[7, 93])/48 + 
       (3453*f[7, 94])/16 - (5561*f[7, 95])/16 + 212*f[7, 96] + 
       (247*f[7, 97])/3 + (265*f[7, 98])/3 - (3923*f[7, 99])/48 - 
       (9865*f[7, 100])/6 - (1325*f[7, 101])/6 - (18631*f[7, 102])/48 + 
       (679*f[7, 103])/24 - (3893*f[7, 104])/12 + (3065*f[7, 105])/48 + 
       (2705*f[7, 106])/3 - (6167*f[7, 107])/6 + (1835*f[7, 108])/6 + 
       (977*f[7, 109])/4 - (213*f[7, 110])/16 - (275*f[7, 111])/24 + 
       (1519*f[7, 112])/8 + (11641*f[7, 113])/48 + (7739*f[7, 114])/48 + 
       (15197*f[7, 115])/48 - (377*f[7, 116])/48 - (30277*f[7, 117])/6 + 
       (4501*f[7, 118])/48 + (8815*f[7, 119])/12 + 303*f[7, 120] - 
       307*f[7, 121] + (4009*f[7, 122])/6 + (387*f[7, 123])/2 - 
       (981*f[7, 124])/2 - (13111*f[7, 125])/24 + (13543*f[7, 126])/48 - 
       2*f[7, 127] - 3*f[7, 133] + 12*f[7, 134] + (9*f[7, 135])/2 - 
       69*f[7, 136] + 139*f[7, 137] + (1321*f[7, 138])/8 - 22*f[7, 145] - 
       153*f[7, 146] - (267*f[7, 147])/4 - (1523*f[7, 148])/8 - 
       (837*f[7, 149])/2 - (13097*f[7, 150])/24)*HPL[{0, 1}, 1 - u]*
      SPw4f1[v, u] + (-f[7, 56]/4 - f[7, 57]/8 + 2*f[7, 58] + f[7, 59]/6 - 
       (3*f[7, 60])/16 - (5*f[7, 61])/8 - (29*f[7, 62])/24 - 
       (29*f[7, 63])/24 + (29*f[7, 64])/24 - (13*f[7, 65])/8 + 
       (5*f[7, 66])/4 - (3*f[7, 67])/8 + (5*f[7, 68])/2 + (5*f[7, 69])/2 - 
       (5*f[7, 70])/8 + (5*f[7, 71])/8 - (5*f[7, 72])/2 + (5*f[7, 73])/2 + 
       (5*f[7, 74])/2 - (35*f[7, 75])/24 - (53*f[7, 76])/16 + 
       (53*f[7, 77])/16 - (5*f[7, 78])/4 + (29*f[7, 79])/24 - 
       (25*f[7, 80])/24 + (11*f[7, 81])/2 - (73*f[7, 82])/12 - 
       (3*f[7, 83])/2 - (35*f[7, 84])/24 + (97*f[7, 85])/48 + 
       (161*f[7, 86])/24 + (65*f[7, 87])/24 - (31*f[7, 88])/24 + 
       (23*f[7, 89])/24 - (5*f[7, 90])/48 - (137*f[7, 91])/12 + 
       (15*f[7, 92])/4 + (67*f[7, 93])/48 - (35*f[7, 94])/8 + 
       (49*f[7, 95])/8 - (21*f[7, 96])/8 - (17*f[7, 97])/24 - 
       (17*f[7, 98])/24 + (23*f[7, 99])/12 + (263*f[7, 100])/12 + 
       (17*f[7, 101])/6 + (67*f[7, 102])/12 + f[7, 103]/3 + 
       (47*f[7, 104])/12 - (31*f[7, 105])/24 - (35*f[7, 106])/3 + 
       (83*f[7, 107])/6 - (95*f[7, 108])/24 - (15*f[7, 109])/8 + 
       (7*f[7, 110])/16 + (17*f[7, 111])/24 - (29*f[7, 112])/8 - 
       (29*f[7, 113])/6 - (49*f[7, 114])/24 - (173*f[7, 115])/48 - 
       (17*f[7, 116])/24 + (857*f[7, 117])/12 - (55*f[7, 118])/48 - 
       (487*f[7, 119])/48 - (31*f[7, 120])/8 + (37*f[7, 121])/8 - 
       (253*f[7, 122])/24 - (19*f[7, 123])/8 + 7*f[7, 124] + 
       (199*f[7, 125])/24 - (61*f[7, 126])/12 + f[7, 137]/2 - f[7, 138]/8 + 
       4*f[7, 146] + 2*f[7, 147] + (17*f[7, 148])/2 + (111*f[7, 149])/8 + 
       (209*f[7, 150])/12)*HPL[{0, 1}, 1 - v]*SPw4f1[v, u] + 
     (f[7, 22]/4 - f[7, 34]/2 + f[7, 41]/2 + f[7, 42]/2 + (3*f[7, 47])/4 - 
       f[7, 48]/4 - 2*f[7, 50] - f[7, 51]/4 - f[7, 52]/2 - 2*f[7, 53] - 
       f[7, 54]/2 - 4*f[7, 55] - (9*f[7, 56])/16 - (101*f[7, 57])/32 - 
       17*f[7, 58] + (5*f[7, 59])/3 - (31*f[7, 60])/64 - (9*f[7, 61])/32 + 
       (169*f[7, 62])/24 + (169*f[7, 63])/24 - (169*f[7, 64])/24 - 
       (281*f[7, 65])/32 + (161*f[7, 66])/16 + (465*f[7, 67])/32 + 
       (219*f[7, 68])/8 + (209*f[7, 69])/8 - (217*f[7, 70])/32 + 
       (225*f[7, 71])/32 - (231*f[7, 72])/8 + (209*f[7, 73])/8 + 
       (219*f[7, 74])/8 + (1339*f[7, 75])/96 - (2817*f[7, 76])/64 + 
       (1333*f[7, 77])/64 - (199*f[7, 78])/16 + (343*f[7, 79])/48 + 
       (215*f[7, 80])/24 - (357*f[7, 81])/4 - (5389*f[7, 82])/48 - 
       (223*f[7, 83])/4 - (215*f[7, 84])/24 + (9097*f[7, 85])/192 + 
       (10925*f[7, 86])/96 + (5453*f[7, 87])/96 - (125*f[7, 88])/12 - 
       (5*f[7, 89])/3 - (515*f[7, 90])/192 + (3301*f[7, 91])/48 + 
       (609*f[7, 92])/16 + (8611*f[7, 93])/192 + (341*f[7, 94])/8 + 
       (513*f[7, 95])/8 + (345*f[7, 96])/32 - (3527*f[7, 97])/96 - 
       (3527*f[7, 98])/96 + (3085*f[7, 99])/96 + (5915*f[7, 100])/48 + 
       (953*f[7, 101])/96 - (1975*f[7, 102])/96 + (781*f[7, 103])/48 - 
       (3239*f[7, 104])/96 + (599*f[7, 105])/24 - (373*f[7, 106])/6 + 
       (184*f[7, 107])/3 - (295*f[7, 108])/48 + (167*f[7, 109])/16 + 
       (749*f[7, 110])/64 + (2437*f[7, 111])/48 - (1789*f[7, 112])/32 + 
       (203*f[7, 113])/12 - (31*f[7, 114])/24 + (6577*f[7, 115])/192 - 
       (665*f[7, 116])/24 + (18539*f[7, 117])/48 + (5177*f[7, 118])/192 - 
       (7951*f[7, 119])/192 - (489*f[7, 120])/16 + (53*f[7, 121])/8 - 
       (229*f[7, 122])/6 - (323*f[7, 123])/16 + (433*f[7, 124])/16 - 
       (47*f[7, 125])/24 - (1711*f[7, 126])/48 - (3*f[7, 133])/4 + 
       f[7, 134] + f[7, 135]/8 - (77*f[7, 136])/8 - (195*f[7, 137])/16 - 
       (603*f[7, 138])/64 - 2*f[7, 145] - (29*f[7, 146])/2 - 
       (201*f[7, 147])/16 + 39*f[7, 148] + (7325*f[7, 149])/64 + 
       (1087*f[7, 150])/48)*HPL[{0, 1}, 1 - u]*SPw4f2[u, v] + 
     (f[7, 136]/4 - (3*f[7, 137])/8 - (17*f[7, 138])/32 - f[7, 146] - 
       f[7, 147]/4 - (11*f[7, 148])/16 - (31*f[7, 149])/32 - 
       (13*f[7, 150])/8)*HPL[{0, 1}, 1 - v]*SPw4f2[u, v] + 
     (-f[7, 55]/2 + f[7, 62]/8 + f[7, 63]/8 - f[7, 64]/8 - f[7, 65]/4 + 
       f[7, 66]/4 + f[7, 67]/8 + f[7, 68]/2 + f[7, 69]/2 + f[7, 70]/8 - 
       f[7, 71]/8 - f[7, 72]/2 + f[7, 73]/2 + f[7, 74]/2 - (15*f[7, 75])/32 - 
       (5*f[7, 76])/8 + (3*f[7, 77])/8 - f[7, 78]/4 + (17*f[7, 79])/32 + 
       (13*f[7, 80])/32 + (23*f[7, 81])/8 - (21*f[7, 82])/8 - 
       (3*f[7, 83])/4 - (17*f[7, 84])/32 + (23*f[7, 85])/32 + 
       (51*f[7, 86])/32 + (27*f[7, 87])/32 - (17*f[7, 88])/32 + 
       (13*f[7, 90])/32 - (3*f[7, 91])/2 + (59*f[7, 92])/32 + 
       (7*f[7, 93])/32 - (5*f[7, 94])/32 + (41*f[7, 95])/32 + f[7, 96]/8 - 
       (3*f[7, 97])/4 - (3*f[7, 98])/4 + (15*f[7, 99])/32 + 2*f[7, 100] + 
       f[7, 101]/8 + (21*f[7, 102])/32 + (3*f[7, 103])/8 + (9*f[7, 104])/16 + 
       (25*f[7, 105])/32 - (15*f[7, 106])/4 + f[7, 107] - (11*f[7, 108])/16 - 
       (9*f[7, 109])/16 + (23*f[7, 110])/32 + (3*f[7, 111])/8 - 
       (11*f[7, 112])/8 + (13*f[7, 113])/32 - (9*f[7, 114])/32 - 
       (35*f[7, 115])/32 - (25*f[7, 116])/32 + 12*f[7, 117] + 
       (7*f[7, 118])/32 - (21*f[7, 119])/16 - (19*f[7, 120])/16 + 
       (15*f[7, 121])/16 - (47*f[7, 122])/16 - (15*f[7, 123])/16 + 
       (15*f[7, 124])/8 + (3*f[7, 125])/2 - (55*f[7, 126])/32 - f[7, 137]/2 + 
       f[7, 147]/4 + (13*f[7, 148])/16 + (5*f[7, 149])/4 + (29*f[7, 150])/16)*
      SPw2f1[u, v]*SPw4f2[u, v] + (-f[7, 21]/2 + (5*f[7, 30])/16 - f[7, 38] - 
       (5*f[7, 50])/8 - (5*f[7, 53])/8 - (9*f[7, 65])/4 + (11*f[7, 66])/8 + 
       (11*f[7, 67])/16 + (45*f[7, 68])/16 + (15*f[7, 69])/4 - 
       (15*f[7, 70])/16 + (15*f[7, 71])/16 - (13*f[7, 72])/4 + 
       (13*f[7, 73])/4 + (13*f[7, 74])/4 + (13*f[7, 75])/64 - 
       (97*f[7, 76])/16 + (107*f[7, 77])/16 - 3*f[7, 78] + (95*f[7, 79])/64 + 
       (37*f[7, 80])/64 - (29*f[7, 81])/16 - (69*f[7, 82])/16 - 
       (11*f[7, 83])/4 - (95*f[7, 84])/64 + (177*f[7, 85])/64 + 
       (779*f[7, 86])/64 + (345*f[7, 87])/64 - (95*f[7, 88])/64 + 
       (11*f[7, 89])/32 + (37*f[7, 90])/64 + (45*f[7, 91])/4 + 
       (187*f[7, 92])/64 + (83*f[7, 93])/64 + (205*f[7, 94])/64 + 
       (519*f[7, 95])/64 - (17*f[7, 96])/8 - (15*f[7, 97])/4 - 
       (15*f[7, 98])/4 + (203*f[7, 99])/64 + (67*f[7, 100])/2 + 
       (179*f[7, 101])/32 + (5*f[7, 102])/64 + (35*f[7, 103])/32 - 
       (55*f[7, 104])/32 + (95*f[7, 105])/64 - (95*f[7, 106])/8 + 
       (95*f[7, 107])/4 - (95*f[7, 108])/32 - (15*f[7, 109])/32 - 
       (115*f[7, 110])/64 + (13*f[7, 111])/4 - (187*f[7, 112])/32 - 
       (21*f[7, 113])/64 - (95*f[7, 114])/64 + (25*f[7, 115])/64 - 
       (197*f[7, 116])/64 + (363*f[7, 117])/4 + (205*f[7, 118])/64 - 
       (27*f[7, 119])/2 - (105*f[7, 120])/16 + (95*f[7, 121])/32 - 
       (285*f[7, 122])/32 - (95*f[7, 123])/32 + (95*f[7, 124])/16 + 
       (75*f[7, 125])/16 - (387*f[7, 126])/64 - (11*f[7, 137])/4 - 
       (21*f[7, 138])/8 - f[7, 147]/8 + (51*f[7, 148])/16 + 5*f[7, 149] + 
       (17*f[7, 150])/4)*HPL[{1}, 1 - u]^2*SPw4f2[v, u] + 
     (f[7, 22]/4 - f[7, 24] + f[7, 34]/4 - f[7, 43] - f[7, 44] - f[7, 45]/2 - 
       f[7, 46]/2 + f[7, 47]/4 + f[7, 48]/8 - (5*f[7, 49])/8 + f[7, 50] - 
       (7*f[7, 51])/8 + (3*f[7, 52])/4 + f[7, 53]/4 - (13*f[7, 54])/8 + 
       (3*f[7, 55])/4 - (37*f[7, 56])/32 + (41*f[7, 57])/64 + 
       (9*f[7, 58])/2 - (37*f[7, 59])/48 - (69*f[7, 60])/128 + 
       (37*f[7, 61])/64 - (607*f[7, 62])/192 - (607*f[7, 63])/192 + 
       (607*f[7, 64])/192 - (531*f[7, 65])/64 + (295*f[7, 66])/32 + 
       (95*f[7, 67])/64 + (287*f[7, 68])/16 + (287*f[7, 69])/16 - 
       (279*f[7, 70])/64 + (295*f[7, 71])/64 - (287*f[7, 72])/16 + 
       (277*f[7, 73])/16 + (279*f[7, 74])/16 - (323*f[7, 75])/96 - 
       (3175*f[7, 76])/128 + (2651*f[7, 77])/128 - (287*f[7, 78])/32 + 
       (941*f[7, 79])/96 + (43*f[7, 80])/48 + (55*f[7, 81])/4 - 
       (5633*f[7, 82])/96 - (595*f[7, 83])/16 - (433*f[7, 84])/48 + 
       (8297*f[7, 85])/384 + (2683*f[7, 86])/48 + (1195*f[7, 87])/48 - 
       (211*f[7, 88])/24 + (1105*f[7, 89])/192 + (1259*f[7, 90])/384 - 
       (2719*f[7, 91])/96 + (1711*f[7, 92])/64 + (7199*f[7, 93])/384 - 
       (149*f[7, 94])/32 + (665*f[7, 95])/16 - (747*f[7, 96])/64 - 
       (2851*f[7, 97])/192 - (2755*f[7, 98])/192 + (2975*f[7, 99])/192 + 
       (14077*f[7, 100])/96 + (1673*f[7, 101])/96 + (4243*f[7, 102])/192 + 
       (167*f[7, 103])/96 + (677*f[7, 104])/48 + (137*f[7, 105])/96 - 
       (233*f[7, 106])/3 + (4345*f[7, 107])/48 - (4795*f[7, 108])/192 - 
       (1059*f[7, 109])/64 + (383*f[7, 110])/128 + (2755*f[7, 111])/192 - 
       (1811*f[7, 112])/64 - (2275*f[7, 113])/192 - (1243*f[7, 114])/96 - 
       (4885*f[7, 115])/384 - (611*f[7, 116])/96 + (44215*f[7, 117])/96 - 
       (719*f[7, 118])/384 - (23921*f[7, 119])/384 - (1763*f[7, 120])/64 + 
       (1497*f[7, 121])/64 - (10853*f[7, 122])/192 - (1199*f[7, 123])/64 + 
       (339*f[7, 124])/8 + (7457*f[7, 125])/192 - (5371*f[7, 126])/192 + 
       f[7, 133]/4 - f[7, 134]/2 - f[7, 135]/8 + (19*f[7, 136])/8 - 
       (287*f[7, 137])/16 - (1113*f[7, 138])/64 + (9*f[7, 146])/2 + 
       (7*f[7, 147])/16 + (639*f[7, 148])/32 + (3055*f[7, 149])/64 + 
       (3551*f[7, 150])/96)*HPL[{0, 1}, 1 - u]*SPw4f2[v, u] + 
     (-f[7, 52] - (3*f[7, 56])/8 + f[7, 57]/16 + f[7, 58]/2 + f[7, 59]/4 - 
       (5*f[7, 60])/32 - (11*f[7, 61])/16 - f[7, 62]/8 - f[7, 63]/8 + 
       f[7, 64]/8 - (23*f[7, 65])/16 + (9*f[7, 66])/8 + f[7, 67]/16 + 
       (9*f[7, 68])/4 + (9*f[7, 69])/4 - (13*f[7, 70])/16 + 
       (13*f[7, 71])/16 - (9*f[7, 72])/4 + (11*f[7, 73])/4 + (9*f[7, 74])/4 + 
       (27*f[7, 75])/32 - (103*f[7, 76])/32 + (19*f[7, 77])/32 - 
       (9*f[7, 78])/8 + (47*f[7, 79])/32 + (25*f[7, 80])/32 + 
       (17*f[7, 81])/8 - (35*f[7, 82])/4 - (21*f[7, 83])/2 - 
       (27*f[7, 84])/32 + (25*f[7, 85])/8 + (245*f[7, 86])/32 + 
       (117*f[7, 87])/32 - (19*f[7, 88])/32 + (7*f[7, 89])/8 + f[7, 90]/2 - 
       (7*f[7, 91])/8 + (97*f[7, 92])/32 + (29*f[7, 93])/8 - 
       (45*f[7, 94])/32 + (139*f[7, 95])/32 - (7*f[7, 96])/16 - 
       (43*f[7, 97])/16 - (43*f[7, 98])/16 + (65*f[7, 99])/32 + 
       (93*f[7, 100])/8 + f[7, 101]/2 + (113*f[7, 102])/32 - f[7, 103]/16 + 
       2*f[7, 104] + (67*f[7, 105])/32 - (21*f[7, 106])/2 + (5*f[7, 107])/2 - 
       (39*f[7, 108])/16 - (47*f[7, 109])/16 + (25*f[7, 110])/8 + 
       (13*f[7, 111])/4 - (11*f[7, 112])/4 + (11*f[7, 113])/32 - 
       (67*f[7, 114])/32 - (9*f[7, 115])/16 - (3*f[7, 116])/32 + 
       (303*f[7, 117])/8 + f[7, 118]/8 - (159*f[7, 119])/32 - 
       (59*f[7, 120])/16 + (13*f[7, 121])/16 - (55*f[7, 122])/16 - 
       (19*f[7, 123])/16 + (7*f[7, 124])/4 + (3*f[7, 125])/4 - 
       (57*f[7, 126])/32 + (17*f[7, 136])/4 - (173*f[7, 137])/8 - 
       (659*f[7, 138])/32 - 7*f[7, 146] - 2*f[7, 147] - (87*f[7, 148])/4 - 
       (1457*f[7, 149])/32 - (573*f[7, 150])/16)*HPL[{0, 1}, 1 - v]*
      SPw4f2[v, u] + (-f[7, 79]/8 - f[7, 80]/8 + f[7, 82] + (3*f[7, 83])/2 + 
       f[7, 84]/8 - f[7, 85]/4 - f[7, 86]/2 - f[7, 87]/4 + f[7, 88]/8 - 
       f[7, 90]/8 - f[7, 92]/4 - (3*f[7, 93])/4 + f[7, 94]/8 - 
       (3*f[7, 95])/8 - f[7, 99]/4 - f[7, 102]/4 - f[7, 104]/4 - 
       f[7, 105]/8 + f[7, 106] + f[7, 108]/4 + f[7, 109]/4 - f[7, 110]/4 - 
       f[7, 111]/4 + (3*f[7, 112])/8 - f[7, 113]/8 + f[7, 114]/8 + 
       f[7, 115]/8 + f[7, 116]/8 - 2*f[7, 117] + f[7, 118]/8 + f[7, 119]/4 + 
       f[7, 120]/4 - f[7, 121]/4 + (3*f[7, 122])/4 + f[7, 123]/4 - 
       f[7, 124]/2 - f[7, 125]/2 + (3*f[7, 126])/8 + f[7, 138]/8 - 
       f[7, 147]/4 - (3*f[7, 148])/8 + f[7, 149]/2 - (3*f[7, 150])/8)*
      HPL[{1}, 1 - v]^2*SPw4f3[u, v] + (4*f[7, 24] - f[7, 34] + 4*f[7, 43] + 
       4*f[7, 44] + 2*f[7, 45] + 2*f[7, 46] - f[7, 47]/2 - f[7, 48]/2 + 
       (5*f[7, 49])/2 - 6*f[7, 50] + (7*f[7, 51])/2 - 2*f[7, 52] - 
       3*f[7, 53] + (15*f[7, 54])/2 - 7*f[7, 55] + (29*f[7, 56])/8 - 
       (101*f[7, 57])/16 - 41*f[7, 58] + (119*f[7, 59])/12 + 
       (49*f[7, 60])/32 - (81*f[7, 61])/16 + (493*f[7, 62])/24 + 
       (493*f[7, 63])/24 - (493*f[7, 64])/24 + (367*f[7, 65])/16 - 
       (207*f[7, 66])/8 + (193*f[7, 67])/16 - (171*f[7, 68])/4 - 
       (175*f[7, 69])/4 + (167*f[7, 70])/16 - (167*f[7, 71])/16 + 
       (163*f[7, 72])/4 - (165*f[7, 73])/4 - (163*f[7, 74])/4 + 
       (83*f[7, 75])/3 + (1667*f[7, 76])/32 - (1943*f[7, 77])/32 + 
       (175*f[7, 78])/8 - (371*f[7, 79])/12 + (97*f[7, 80])/12 - 
       163*f[7, 81] + (2533*f[7, 82])/24 + (353*f[7, 83])/4 + 
       (571*f[7, 84])/24 - (3025*f[7, 85])/96 - (2383*f[7, 86])/24 - 
       (877*f[7, 87])/24 + (545*f[7, 88])/24 - (317*f[7, 89])/12 - 
       (1459*f[7, 90])/96 + (5009*f[7, 91])/24 - (1011*f[7, 92])/16 - 
       (2071*f[7, 93])/96 + (147*f[7, 94])/2 - (755*f[7, 95])/8 + 
       (969*f[7, 96])/16 + (737*f[7, 97])/48 + (641*f[7, 98])/48 - 
       (307*f[7, 99])/12 - (11453*f[7, 100])/24 - (2957*f[7, 101])/48 - 
       (1469*f[7, 102])/12 + (89*f[7, 103])/6 - (4867*f[7, 104])/48 + 
       (545*f[7, 105])/24 + (2953*f[7, 106])/12 - (914*f[7, 107])/3 + 
       (1133*f[7, 108])/12 + (651*f[7, 109])/8 - (13*f[7, 110])/32 - 
       (7*f[7, 111])/6 + (369*f[7, 112])/8 + (415*f[7, 113])/6 + 
       (1271*f[7, 114])/24 + (8321*f[7, 115])/96 - (221*f[7, 116])/24 - 
       (34409*f[7, 117])/24 + (3865*f[7, 118])/96 + (19885*f[7, 119])/96 + 
       (299*f[7, 120])/4 - (665*f[7, 121])/8 + (2119*f[7, 122])/12 + 
       (199*f[7, 123])/4 - (1067*f[7, 124])/8 - (3695*f[7, 125])/24 + 
       (1609*f[7, 126])/24 - 3*f[7, 133] + f[7, 135]/2 - (71*f[7, 136])/2 - 
       (299*f[7, 137])/4 - (939*f[7, 138])/16 + 6*f[7, 145] - 8*f[7, 146] + 
       (33*f[7, 147])/4 - (355*f[7, 148])/2 - (6569*f[7, 149])/16 - 
       (399*f[7, 150])/2)*HPL[{0, 1}, 1 - u]*SPw4f3[u, v] + 
     (-f[7, 135] + 9*f[7, 136] - (153*f[7, 137])/2 - (577*f[7, 138])/8 - 
       20*f[7, 146] - (5*f[7, 147])/2 - (345*f[7, 148])/4 - 
       (1613*f[7, 149])/8 - 125*f[7, 150])*SPw2f1[u, v]*SPw4f3[u, v] - 
     f[7, 7]*HPL[{0, 1}, 1 - u]*SPw4f3[v, u] + 
     (-2*f[7, 48] + f[7, 54] + f[7, 56]/4 + (35*f[7, 57])/8 + 20*f[7, 58] - 
       (7*f[7, 59])/2 + (25*f[7, 60])/16 - (9*f[7, 61])/8 - (19*f[7, 62])/2 - 
       (19*f[7, 63])/2 + (19*f[7, 64])/2 - (265*f[7, 65])/8 + 
       (153*f[7, 66])/4 + (73*f[7, 67])/8 + (153*f[7, 68])/2 + 
       (153*f[7, 69])/2 - (153*f[7, 70])/8 + (153*f[7, 71])/8 - 
       (153*f[7, 72])/2 + (153*f[7, 73])/2 + (153*f[7, 74])/2 - 
       (21*f[7, 75])/8 - (1713*f[7, 76])/16 + (1249*f[7, 77])/16 - 
       (153*f[7, 78])/4 + (305*f[7, 79])/8 + (21*f[7, 80])/8 + 
       (65*f[7, 81])/2 - (1011*f[7, 82])/4 - (303*f[7, 83])/2 - 
       (275*f[7, 84])/8 + (1503*f[7, 85])/16 + (1955*f[7, 86])/8 + 
       (883*f[7, 87])/8 - (263*f[7, 88])/8 + (89*f[7, 89])/4 + 
       (217*f[7, 90])/16 - (409*f[7, 91])/4 + (225*f[7, 92])/2 + 
       (1285*f[7, 93])/16 - (109*f[7, 94])/8 + (1359*f[7, 95])/8 - 
       (303*f[7, 96])/8 - (501*f[7, 97])/8 - (501*f[7, 98])/8 + 
       (543*f[7, 99])/8 + (2349*f[7, 100])/4 + (517*f[7, 101])/8 + 
       (699*f[7, 102])/8 + (31*f[7, 103])/4 + (387*f[7, 104])/8 + 
       (143*f[7, 105])/8 - (609*f[7, 106])/2 + 335*f[7, 107] - 
       (175*f[7, 108])/2 - (223*f[7, 109])/4 + (345*f[7, 110])/16 + 
       (289*f[7, 111])/4 - (461*f[7, 112])/4 - (331*f[7, 113])/8 - 
       (383*f[7, 114])/8 - (507*f[7, 115])/16 - (219*f[7, 116])/8 + 
       (7041*f[7, 117])/4 + (101*f[7, 118])/16 - (3761*f[7, 119])/16 - 
       115*f[7, 120] + (321*f[7, 121])/4 - 206*f[7, 122] - 
       (135*f[7, 123])/2 + (591*f[7, 124])/4 + 128*f[7, 125] - 
       (863*f[7, 126])/8 - f[7, 135] + 9*f[7, 136] - (153*f[7, 137])/2 - 
       (577*f[7, 138])/8 + 20*f[7, 146] + (5*f[7, 147])/2 + 
       (345*f[7, 148])/4 + (1613*f[7, 149])/8 + 125*f[7, 150])*
      HPL[{0, 1}, 1 - v]*SPw4f3[v, u] + 
     (-2*f[7, 48] + f[7, 54] + f[7, 56]/4 + (35*f[7, 57])/8 + 20*f[7, 58] - 
       (7*f[7, 59])/2 + (25*f[7, 60])/16 - (9*f[7, 61])/8 - (19*f[7, 62])/2 - 
       (19*f[7, 63])/2 + (19*f[7, 64])/2 - (265*f[7, 65])/8 + 
       (153*f[7, 66])/4 + (73*f[7, 67])/8 + (153*f[7, 68])/2 + 
       (153*f[7, 69])/2 - (153*f[7, 70])/8 + (153*f[7, 71])/8 - 
       (153*f[7, 72])/2 + (153*f[7, 73])/2 + (153*f[7, 74])/2 - 
       (21*f[7, 75])/8 - (1713*f[7, 76])/16 + (1249*f[7, 77])/16 - 
       (153*f[7, 78])/4 + (305*f[7, 79])/8 + (21*f[7, 80])/8 + 
       (65*f[7, 81])/2 - (1011*f[7, 82])/4 - (303*f[7, 83])/2 - 
       (275*f[7, 84])/8 + (1503*f[7, 85])/16 + (1955*f[7, 86])/8 + 
       (883*f[7, 87])/8 - (263*f[7, 88])/8 + (89*f[7, 89])/4 + 
       (217*f[7, 90])/16 - (409*f[7, 91])/4 + (225*f[7, 92])/2 + 
       (1285*f[7, 93])/16 - (109*f[7, 94])/8 + (1359*f[7, 95])/8 - 
       (303*f[7, 96])/8 - (501*f[7, 97])/8 - (501*f[7, 98])/8 + 
       (543*f[7, 99])/8 + (2349*f[7, 100])/4 + (517*f[7, 101])/8 + 
       (699*f[7, 102])/8 + (31*f[7, 103])/4 + (387*f[7, 104])/8 + 
       (143*f[7, 105])/8 - (609*f[7, 106])/2 + 335*f[7, 107] - 
       (175*f[7, 108])/2 - (223*f[7, 109])/4 + (345*f[7, 110])/16 + 
       (289*f[7, 111])/4 - (461*f[7, 112])/4 - (331*f[7, 113])/8 - 
       (383*f[7, 114])/8 - (507*f[7, 115])/16 - (219*f[7, 116])/8 + 
       (7041*f[7, 117])/4 + (101*f[7, 118])/16 - (3761*f[7, 119])/16 - 
       115*f[7, 120] + (321*f[7, 121])/4 - 206*f[7, 122] - 
       (135*f[7, 123])/2 + (591*f[7, 124])/4 + 128*f[7, 125] - 
       (863*f[7, 126])/8 - f[7, 135] + 9*f[7, 136] - (153*f[7, 137])/2 - 
       (577*f[7, 138])/8 + 20*f[7, 146] + (5*f[7, 147])/2 + 
       (345*f[7, 148])/4 + (1613*f[7, 149])/8 + 125*f[7, 150])*SPw2f1[u, v]*
      SPw4f3[v, u] + (2*f[7, 136] - 10*f[7, 137] - 10*f[7, 138] - 
       4*f[7, 146] - f[7, 147] - 12*f[7, 148] - (53*f[7, 149])/2 - 
       (115*f[7, 150])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*SPw4f4[u, v] + 
     (f[7, 7] - f[7, 29] + 2*f[7, 34] + 4*f[7, 45] + 4*f[7, 46] - 
       3*f[7, 47] - f[7, 49] + 8*f[7, 50] + 2*f[7, 52] + 10*f[7, 53] + 
       4*f[7, 54] + 20*f[7, 55] + f[7, 56] + (27*f[7, 57])/4 + 39*f[7, 58] - 
       f[7, 59]/2 + (5*f[7, 60])/8 - (25*f[7, 61])/4 - (165*f[7, 62])/16 - 
       (165*f[7, 63])/16 + (165*f[7, 64])/16 + (209*f[7, 65])/4 - 
       60*f[7, 66] - 54*f[7, 67] - 164*f[7, 68] - 158*f[7, 69] + 
       (81*f[7, 70])/2 - (81*f[7, 71])/2 + 172*f[7, 72] - 155*f[7, 73] - 
       162*f[7, 74] - (399*f[7, 75])/8 + (1979*f[7, 76])/8 - 
       (1177*f[7, 77])/8 + 74*f[7, 78] - 48*f[7, 79] - (185*f[7, 80])/8 + 
       339*f[7, 81] + (1201*f[7, 82])/2 + 267*f[7, 83] + (225*f[7, 84])/4 - 
       243*f[7, 85] - (4927*f[7, 86])/8 - (2355*f[7, 87])/8 + 
       (249*f[7, 88])/4 - (287*f[7, 89])/16 + (71*f[7, 90])/8 - 
       (135*f[7, 91])/4 - (455*f[7, 92])/2 - 217*f[7, 93] - 
       (219*f[7, 94])/2 - (1505*f[7, 95])/4 + (39*f[7, 96])/8 + 
       (1279*f[7, 97])/8 + (1247*f[7, 98])/8 - (2837*f[7, 99])/16 - 
       1027*f[7, 100] - (1623*f[7, 101])/16 - (461*f[7, 102])/16 - 
       (407*f[7, 103])/8 + (1005*f[7, 104])/16 - (651*f[7, 105])/8 + 
       (1825*f[7, 106])/4 - (2295*f[7, 107])/4 + (1657*f[7, 108])/16 + 
       (205*f[7, 109])/16 - (705*f[7, 110])/16 - (3797*f[7, 111])/16 + 
       (4595*f[7, 112])/16 + (63*f[7, 113])/16 + (397*f[7, 114])/8 - 
       (421*f[7, 115])/4 + (887*f[7, 116])/8 - (11877*f[7, 117])/4 - 
       (1321*f[7, 118])/16 + (2921*f[7, 119])/8 + (3055*f[7, 120])/16 - 
       (1543*f[7, 121])/16 + (4887*f[7, 122])/16 + (1911*f[7, 123])/16 - 
       (1759*f[7, 124])/8 - (1881*f[7, 125])/16 + (3293*f[7, 126])/16 + 
       2*f[7, 133] - 4*f[7, 134] + (37*f[7, 136])/2 + 170*f[7, 137] + 
       (305*f[7, 138])/2 - 2*f[7, 139] + 12*f[7, 145] + 39*f[7, 146] + 
       34*f[7, 147] - (1453*f[7, 148])/8 - (1721*f[7, 149])/4 - 
       100*f[7, 150])*HPL[{0, 1}, 1 - u]*SPw4f4[u, v] + 
     (-f[7, 47]/2 + 2*f[7, 50] - f[7, 52] + 2*f[7, 53] + 4*f[7, 55] + 
       (5*f[7, 56])/8 + (37*f[7, 57])/16 + 10*f[7, 58] - (5*f[7, 59])/4 + 
       (31*f[7, 60])/32 + (25*f[7, 61])/16 - (29*f[7, 62])/8 - 
       (29*f[7, 63])/8 + (29*f[7, 64])/8 + (105*f[7, 65])/16 - 
       (61*f[7, 66])/8 - (157*f[7, 67])/16 - (89*f[7, 68])/4 - 
       (85*f[7, 69])/4 + (85*f[7, 70])/16 - (85*f[7, 71])/16 + 
       (97*f[7, 72])/4 - (85*f[7, 73])/4 - (89*f[7, 74])/4 - 
       (153*f[7, 75])/16 + (1121*f[7, 76])/32 - (537*f[7, 77])/32 + 
       (85*f[7, 78])/8 - (97*f[7, 79])/16 - (61*f[7, 80])/16 + 
       (237*f[7, 81])/4 + (695*f[7, 82])/8 + (149*f[7, 83])/4 + 
       (115*f[7, 84])/16 - (1155*f[7, 85])/32 - (1417*f[7, 86])/16 - 
       (701*f[7, 87])/16 + (127*f[7, 88])/16 + f[7, 89]/4 + 
       (103*f[7, 90])/32 - (267*f[7, 91])/8 - (249*f[7, 92])/8 - 
       (1105*f[7, 93])/32 - (423*f[7, 94])/16 - (815*f[7, 95])/16 - 
       (105*f[7, 96])/16 + (457*f[7, 97])/16 + (457*f[7, 98])/16 - 
       (383*f[7, 99])/16 - (813*f[7, 100])/8 - (123*f[7, 101])/16 + 
       (161*f[7, 102])/16 - (101*f[7, 103])/8 + (327*f[7, 104])/16 - 
       (247*f[7, 105])/16 + (203*f[7, 106])/4 - 51*f[7, 107] + 
       (61*f[7, 108])/8 - (29*f[7, 109])/4 - (225*f[7, 110])/32 - 
       (145*f[7, 111])/4 + (337*f[7, 112])/8 - (75*f[7, 113])/16 + 
       (43*f[7, 114])/16 - (709*f[7, 115])/32 + (323*f[7, 116])/16 - 
       (2605*f[7, 117])/8 - (593*f[7, 118])/32 + (1153*f[7, 119])/32 + 
       (191*f[7, 120])/8 - (33*f[7, 121])/4 + (277*f[7, 122])/8 + 
       (123*f[7, 123])/8 - (189*f[7, 124])/8 - (39*f[7, 125])/8 + 
       (465*f[7, 126])/16 + 2*f[7, 136] + (133*f[7, 137])/4 + 
       (515*f[7, 138])/16 + 2*f[7, 145] + 16*f[7, 146] + 10*f[7, 147] - 
       (33*f[7, 148])/4 - (533*f[7, 149])/16 + (479*f[7, 150])/24)*
      HPL[{0, 1}, 1 - v]*SPw4f4[u, v] + (f[7, 56]/4 + f[7, 57]/8 + 
       2*f[7, 58] - f[7, 59]/6 + (3*f[7, 60])/16 + (5*f[7, 61])/8 - 
       (19*f[7, 62])/24 - (19*f[7, 63])/24 + (19*f[7, 64])/24 - 
       (3*f[7, 65])/8 + (3*f[7, 66])/4 - (5*f[7, 67])/8 + (3*f[7, 68])/2 + 
       (3*f[7, 69])/2 - (3*f[7, 70])/8 + (3*f[7, 71])/8 - (3*f[7, 72])/2 + 
       (3*f[7, 73])/2 + (3*f[7, 74])/2 - (31*f[7, 75])/24 - 
       (27*f[7, 76])/16 + (27*f[7, 77])/16 - (3*f[7, 78])/4 + 
       (19*f[7, 79])/24 - (23*f[7, 80])/24 + (11*f[7, 81])/2 - 
       (35*f[7, 82])/12 - f[7, 83]/2 - (19*f[7, 84])/24 + (35*f[7, 85])/48 + 
       (73*f[7, 86])/24 + (25*f[7, 87])/24 - (23*f[7, 88])/24 + 
       (25*f[7, 89])/24 + (17*f[7, 90])/48 - (151*f[7, 91])/12 + 
       (9*f[7, 92])/4 + (17*f[7, 93])/48 - (31*f[7, 94])/8 + 
       (25*f[7, 95])/8 - (19*f[7, 96])/8 + (17*f[7, 97])/24 + 
       (17*f[7, 98])/24 + (13*f[7, 99])/12 + (217*f[7, 100])/12 + 
       (13*f[7, 101])/6 + (65*f[7, 102])/12 - (4*f[7, 103])/3 + 
       (55*f[7, 104])/12 - (35*f[7, 105])/24 - (25*f[7, 106])/3 + 
       (61*f[7, 107])/6 - (85*f[7, 108])/24 - (21*f[7, 109])/8 - 
       (3*f[7, 110])/16 - (17*f[7, 111])/24 - (11*f[7, 112])/8 - 
       (47*f[7, 113])/12 - (41*f[7, 114])/24 - (151*f[7, 115])/48 + 
       (11*f[7, 116])/24 + (583*f[7, 117])/12 - (101*f[7, 118])/48 - 
       (353*f[7, 119])/48 - (21*f[7, 120])/8 + (29*f[7, 121])/8 - 
       (179*f[7, 122])/24 - (15*f[7, 123])/8 + (11*f[7, 124])/2 + 
       (173*f[7, 125])/24 - (35*f[7, 126])/12 - f[7, 136] + 
       (17*f[7, 137])/4 + (65*f[7, 138])/16 + 6*f[7, 146] + (5*f[7, 147])/2 + 
       (85*f[7, 148])/8 + (305*f[7, 149])/16 + (259*f[7, 150])/12)*
      HPL[{1}, 1 - v]^2*SPw4f4[v, u] + (f[7, 8] - 2*f[7, 23] - 8*f[7, 24] + 
       f[7, 25] + 2*f[7, 29] + 2*f[7, 41] + 2*f[7, 42] - 8*f[7, 43] - 
       8*f[7, 44] + f[7, 47] - 3*f[7, 48] - 6*f[7, 49] - 3*f[7, 51] + 
       4*f[7, 52] - 2*f[7, 53] - 9*f[7, 54] - 2*f[7, 55] - (51*f[7, 56])/8 + 
       (89*f[7, 57])/16 + 53*f[7, 58] - (175*f[7, 59])/12 - 
       (85*f[7, 60])/32 + (29*f[7, 61])/16 - (1471*f[7, 62])/48 - 
       (1471*f[7, 63])/48 + (1471*f[7, 64])/48 - (1819*f[7, 65])/16 + 
       (1011*f[7, 66])/8 + (571*f[7, 67])/16 + (1039*f[7, 68])/4 + 
       (1043*f[7, 69])/4 - (1043*f[7, 70])/16 + (1043*f[7, 71])/16 - 
       (1067*f[7, 72])/4 + (1023*f[7, 73])/4 + (1039*f[7, 74])/4 - 
       (367*f[7, 75])/48 - (12075*f[7, 76])/32 + (8803*f[7, 77])/32 - 
       (1043*f[7, 78])/8 + (5983*f[7, 79])/48 + (241*f[7, 80])/48 + 
       (241*f[7, 81])/4 - (20579*f[7, 82])/24 - (2015*f[7, 83])/4 - 
       (5449*f[7, 84])/48 + (31019*f[7, 85])/96 + (41149*f[7, 86])/48 + 
       (18781*f[7, 87])/48 - (5453*f[7, 88])/48 + (3577*f[7, 89])/48 + 
       (2765*f[7, 90])/96 - (7495*f[7, 91])/24 + (751*f[7, 92])/2 + 
       (26705*f[7, 93])/96 - (381*f[7, 94])/16 + (9451*f[7, 95])/16 - 
       (2027*f[7, 96])/16 - (10375*f[7, 97])/48 - (10375*f[7, 98])/48 + 
       (2801*f[7, 99])/12 + (48553*f[7, 100])/24 + (682*f[7, 101])/3 + 
       (3295*f[7, 102])/12 + (361*f[7, 103])/12 + (3409*f[7, 104])/24 + 
       (2491*f[7, 105])/48 - (3077*f[7, 106])/3 + (14053*f[7, 107])/12 - 
       (14557*f[7, 108])/48 - (2889*f[7, 109])/16 + (1885*f[7, 110])/32 + 
       (12019*f[7, 111])/48 - (6425*f[7, 112])/16 - (445*f[7, 113])/3 - 
       (7739*f[7, 114])/48 - (8371*f[7, 115])/96 - (4819*f[7, 116])/48 + 
       (145567*f[7, 117])/24 + (1807*f[7, 118])/96 - (78185*f[7, 119])/96 - 
       (6085*f[7, 120])/16 + (4431*f[7, 121])/16 - (33731*f[7, 122])/48 - 
       (3793*f[7, 123])/16 + (1023*f[7, 124])/2 + (21245*f[7, 125])/48 - 
       (8879*f[7, 126])/24 - 4*f[7, 134] - 2*f[7, 135] + (49*f[7, 136])/2 - 
       (1043*f[7, 137])/4 - (4065*f[7, 138])/16 + 2*f[7, 139] + 
       53*f[7, 146] + (13*f[7, 147])/2 + (2413*f[7, 148])/8 + 
       (11095*f[7, 149])/16 + (10055*f[7, 150])/24)*HPL[{0, 1}, 1 - u]*
      SPw4f4[v, u] + (-f[7, 29] - f[7, 51] + f[7, 54] - (5*f[7, 56])/4 + 
       (15*f[7, 57])/8 - 6*f[7, 58] + (5*f[7, 59])/6 + (5*f[7, 60])/16 - 
       (5*f[7, 61])/8 + (101*f[7, 62])/24 + (101*f[7, 63])/24 - 
       (101*f[7, 64])/24 - (21*f[7, 65])/8 + (17*f[7, 66])/4 + 
       (37*f[7, 67])/8 + (13*f[7, 68])/2 + (13*f[7, 69])/2 - 
       (13*f[7, 70])/8 + (13*f[7, 71])/8 - (13*f[7, 72])/2 + 
       (17*f[7, 73])/2 + (13*f[7, 74])/2 + (131*f[7, 75])/24 - 
       (165*f[7, 76])/16 + (37*f[7, 77])/16 - (13*f[7, 78])/4 + 
       (115*f[7, 79])/24 + (181*f[7, 80])/24 - (35*f[7, 81])/2 - 
       (461*f[7, 82])/12 - (63*f[7, 83])/2 - (85*f[7, 84])/24 + 
       (725*f[7, 85])/48 + (703*f[7, 86])/24 + (379*f[7, 87])/24 - 
       (65*f[7, 88])/24 - (23*f[7, 89])/24 + (215*f[7, 90])/48 + 
       (515*f[7, 91])/12 + 13*f[7, 92] + (743*f[7, 93])/48 + 
       (155*f[7, 94])/8 + (115*f[7, 95])/8 + (51*f[7, 96])/8 - 
       (373*f[7, 97])/24 - (373*f[7, 98])/24 + (97*f[7, 99])/12 + 
       (127*f[7, 100])/12 - (19*f[7, 101])/12 - (127*f[7, 102])/12 + 
       (37*f[7, 103])/6 - (67*f[7, 104])/6 + (367*f[7, 105])/24 - 
       (64*f[7, 106])/3 + f[7, 107]/6 + (11*f[7, 108])/24 - 
       (13*f[7, 109])/8 + (119*f[7, 110])/16 + (415*f[7, 111])/24 - 
       (131*f[7, 112])/8 + (101*f[7, 113])/6 - (11*f[7, 114])/24 + 
       (359*f[7, 115])/48 - (199*f[7, 116])/24 + (805*f[7, 117])/12 + 
       (529*f[7, 118])/48 - (191*f[7, 119])/48 - (85*f[7, 120])/8 - 
       (13*f[7, 121])/8 - (155*f[7, 122])/24 - (45*f[7, 123])/8 + 
       4*f[7, 124] - (223*f[7, 125])/24 - (95*f[7, 126])/12 + 3*f[7, 136] - 
       (37*f[7, 137])/2 - (129*f[7, 138])/8 - 20*f[7, 146] - 
       (25*f[7, 147])/2 - (81*f[7, 148])/4 - (99*f[7, 149])/8 - 
       (295*f[7, 150])/6)*HPL[{0, 1}, 1 - v]*SPw4f4[v, u] + 
     (-f[7, 136]/4 - (59*f[7, 137])/8 - (47*f[7, 138])/32 - f[7, 146] - 
       (3*f[7, 147])/4 - 3*f[7, 148] - (543*f[7, 149])/32 + 
       (349*f[7, 150])/48)*HPL[{1}, 1 - u]^2*SPw4f5[u, v] + 
     (2*f[7, 32] + f[7, 37]/2 + 3*f[7, 39] + 2*f[7, 41] - f[7, 42] + 
       5*f[7, 43] + 8*f[7, 44] + (7*f[7, 47])/4 + f[7, 48]/4 + 2*f[7, 49] - 
       (5*f[7, 50])/2 + (7*f[7, 51])/4 + (7*f[7, 54])/2 + (169*f[7, 56])/16 - 
       (639*f[7, 57])/32 - 63*f[7, 58] + (69*f[7, 59])/4 + 
       (355*f[7, 60])/64 + (85*f[7, 61])/32 + (461*f[7, 62])/16 + 
       (461*f[7, 63])/16 - (461*f[7, 64])/16 + (2925*f[7, 65])/32 - 
       (1629*f[7, 66])/16 - (597*f[7, 67])/32 - (1629*f[7, 68])/8 - 
       (1629*f[7, 69])/8 + (1629*f[7, 70])/32 - (1629*f[7, 71])/32 + 
       (1645*f[7, 72])/8 - (1629*f[7, 73])/8 - (1615*f[7, 74])/8 + 
       (465*f[7, 75])/32 + (18093*f[7, 76])/64 - (13365*f[7, 77])/64 + 
       (1629*f[7, 78])/16 - (3321*f[7, 79])/32 - (75*f[7, 80])/32 - 
       139*f[7, 81] + (10635*f[7, 82])/16 + (3321*f[7, 83])/8 + 
       (3051*f[7, 84])/32 - (15603*f[7, 85])/64 - (20495*f[7, 86])/32 - 
       (9283*f[7, 87])/32 + (2815*f[7, 88])/32 - (511*f[7, 89])/8 - 
       (2021*f[7, 90])/64 + (5249*f[7, 91])/16 - (4761*f[7, 92])/16 - 
       (13641*f[7, 93])/64 + (2217*f[7, 94])/32 - (14431*f[7, 95])/32 + 
       (3351*f[7, 96])/32 + (5341*f[7, 97])/32 + (5341*f[7, 98])/32 - 
       (5713*f[7, 99])/32 - (25465*f[7, 100])/16 - (5635*f[7, 101])/32 - 
       (8431*f[7, 102])/32 - (233*f[7, 103])/16 - (5047*f[7, 104])/32 - 
       (1431*f[7, 105])/32 + (3351*f[7, 106])/4 - 908*f[7, 107] + 
       (3907*f[7, 108])/16 + (1297*f[7, 109])/8 - (3529*f[7, 110])/64 - 
       181*f[7, 111] + (611*f[7, 112])/2 + (4179*f[7, 113])/32 + 
       (4331*f[7, 114])/32 + (6807*f[7, 115])/64 + (2203*f[7, 116])/32 - 
       (76761*f[7, 117])/16 + (55*f[7, 118])/64 + (41453*f[7, 119])/64 + 
       306*f[7, 120] - 228*f[7, 121] + (9189*f[7, 122])/16 + 
       (2861*f[7, 123])/16 - (6501*f[7, 124])/16 - (5885*f[7, 125])/16 + 
       (9381*f[7, 126])/32 + f[7, 135]/4 - (73*f[7, 136])/2 + 196*f[7, 137] + 
       (371*f[7, 138])/2 - 51*f[7, 146] - (21*f[7, 147])/8 - 
       (3913*f[7, 148])/16 - (9019*f[7, 149])/16 - (5743*f[7, 150])/16)*
      HPL[{1}, 1 - u]^2*SPw4f5[v, u] + (-f[7, 8] + 2*f[7, 23] + 8*f[7, 24] - 
       f[7, 25] - 2*f[7, 29] + 8*f[7, 43] + 8*f[7, 44] + 2*f[7, 48] + 
       7*f[7, 49] + 2*f[7, 51] - 4*f[7, 52] + 2*f[7, 53] + 7*f[7, 54] + 
       2*f[7, 55] + 7*f[7, 56] - (53*f[7, 57])/4 - 72*f[7, 58] + 
       (61*f[7, 59])/6 + (9*f[7, 60])/8 + (15*f[7, 61])/4 + 
       (967*f[7, 62])/24 + (967*f[7, 63])/24 - (967*f[7, 64])/24 + 
       (599*f[7, 65])/4 - (331*f[7, 66])/2 - (183*f[7, 67])/4 - 
       338*f[7, 68] - 339*f[7, 69] + (339*f[7, 70])/4 - (339*f[7, 71])/4 + 
       346*f[7, 72] - 334*f[7, 73] - 338*f[7, 74] + (289*f[7, 75])/24 + 
       (3903*f[7, 76])/8 - (2819*f[7, 77])/8 + (339*f[7, 78])/2 - 
       (3949*f[7, 79])/24 - (235*f[7, 80])/24 - 102*f[7, 81] + 
       (3362*f[7, 82])/3 + 675*f[7, 83] + (3661*f[7, 84])/24 - 
       (5051*f[7, 85])/12 - (26533*f[7, 86])/24 - (12109*f[7, 87])/24 + 
       (3557*f[7, 88])/24 - (2347*f[7, 89])/24 - (140*f[7, 90])/3 + 
       (1174*f[7, 91])/3 - (3915*f[7, 92])/8 - (4391*f[7, 93])/12 + 
       (295*f[7, 94])/8 - (6119*f[7, 95])/8 + (331*f[7, 96])/2 + 
       (1735*f[7, 97])/6 + (1735*f[7, 98])/6 - (916*f[7, 99])/3 - 
       (15653*f[7, 100])/6 - (6967*f[7, 101])/24 - (1085*f[7, 102])/3 - 
       (235*f[7, 103])/6 - (4559*f[7, 104])/24 - (1783*f[7, 105])/24 + 
       (4033*f[7, 106])/3 - (9007*f[7, 107])/6 + (9427*f[7, 108])/24 + 
       (1925*f[7, 109])/8 - (653*f[7, 110])/8 - (7801*f[7, 111])/24 + 
       (4197*f[7, 112])/8 + (2249*f[7, 113])/12 + (5039*f[7, 114])/24 + 
       (755*f[7, 115])/6 + (3127*f[7, 116])/24 - (23596*f[7, 117])/3 - 
       (659*f[7, 118])/24 + (25345*f[7, 119])/24 + (4037*f[7, 120])/8 - 
       (2923*f[7, 121])/8 + (22265*f[7, 122])/24 + (2467*f[7, 123])/8 - 
       (2683*f[7, 124])/4 - (13961*f[7, 125])/24 + (1460*f[7, 126])/3 + 
       4*f[7, 134] + 2*f[7, 135] - (81*f[7, 136])/2 + (1541*f[7, 137])/4 + 
       (5951*f[7, 138])/16 - 2*f[7, 139] - 2*f[7, 145] - 61*f[7, 146] - 
       4*f[7, 147] - (2665*f[7, 148])/8 - (12591*f[7, 149])/16 - 
       (4065*f[7, 150])/8)*HPL[{0, 1}, 1 - u]*SPw4f5[v, u] + 
     (f[7, 136]/4 - (23*f[7, 137])/8 - (85*f[7, 138])/32 - f[7, 146]/2 - 
       (51*f[7, 148])/16 - (243*f[7, 149])/32 - (199*f[7, 150])/48)*
      HPL[{0, 1}, 1 - v]*SPw4f6[u, v] + (f[7, 25] + f[7, 29] + f[7, 34]/2 - 
       f[7, 41]/2 - f[7, 42]/2 - f[7, 45] - f[7, 46] - (3*f[7, 47])/4 + 
       f[7, 48] + f[7, 49]/4 + 2*f[7, 50] + f[7, 51] + 5*f[7, 52] + 
       (3*f[7, 53])/2 + (3*f[7, 54])/4 + (7*f[7, 55])/2 + (13*f[7, 56])/16 - 
       (5*f[7, 57])/32 - (9*f[7, 58])/2 - (3*f[7, 59])/4 + f[7, 60]/64 + 
       (31*f[7, 61])/32 - (33*f[7, 62])/32 - (33*f[7, 63])/32 + 
       (33*f[7, 64])/32 + (719*f[7, 65])/32 - (391*f[7, 66])/16 - 
       (375*f[7, 67])/32 - (443*f[7, 68])/8 - (439*f[7, 69])/8 + 
       (447*f[7, 70])/32 - (447*f[7, 71])/32 + (463*f[7, 72])/8 - 
       (461*f[7, 73])/8 - (451*f[7, 74])/8 - (67*f[7, 75])/8 + 
       (5195*f[7, 76])/64 - (2887*f[7, 77])/64 + (439*f[7, 78])/16 - 
       (219*f[7, 79])/8 - (79*f[7, 80])/8 + (111*f[7, 81])/8 + 
       (3215*f[7, 82])/16 + (921*f[7, 83])/8 + (357*f[7, 84])/16 - 
       (4867*f[7, 85])/64 - (3071*f[7, 86])/16 - (1457*f[7, 87])/16 + 
       (371*f[7, 88])/16 - (397*f[7, 89])/32 - (417*f[7, 90])/64 + 
       (461*f[7, 91])/16 - (2763*f[7, 92])/32 - (4237*f[7, 93])/64 - 
       15*f[7, 94] - (1915*f[7, 95])/16 + (315*f[7, 96])/32 + 
       (1697*f[7, 97])/32 + (1729*f[7, 98])/32 - (1701*f[7, 99])/32 - 
       (5763*f[7, 100])/16 - (67*f[7, 101])/2 - (1255*f[7, 102])/32 - 
       (159*f[7, 103])/16 - (25*f[7, 104])/2 - (61*f[7, 105])/2 + 
       (1621*f[7, 106])/8 - (1473*f[7, 107])/8 + (1679*f[7, 108])/32 + 
       (1061*f[7, 109])/32 - (1675*f[7, 110])/64 - (2095*f[7, 111])/32 + 
       (2817*f[7, 112])/32 + (227*f[7, 113])/32 + (117*f[7, 114])/4 + 
       (31*f[7, 115])/64 + (53*f[7, 116])/2 - (17549*f[7, 117])/16 - 
       (1059*f[7, 118])/64 + (8967*f[7, 119])/64 + (2563*f[7, 120])/32 - 
       (1391*f[7, 121])/32 + (4013*f[7, 122])/32 + (1481*f[7, 123])/32 - 
       (357*f[7, 124])/4 - (2037*f[7, 125])/32 + (2329*f[7, 126])/32 + 
       f[7, 133]/2 + f[7, 135]/4 + (385*f[7, 137])/8 + (1285*f[7, 138])/32 + 
       f[7, 145] - 8*f[7, 146] + (19*f[7, 147])/8 - (515*f[7, 148])/8 - 
       (5285*f[7, 149])/32 - (425*f[7, 150])/6)*HPL[{0, 1}, 1 - u]*
      SPw4f7[u, v] + (-f[7, 56]/4 - f[7, 57]/8 - 10*f[7, 58] + f[7, 59]/6 - 
       (3*f[7, 60])/16 - (5*f[7, 61])/8 + (121*f[7, 62])/24 + 
       (121*f[7, 63])/24 - (121*f[7, 64])/24 + (35*f[7, 65])/8 - 
       (19*f[7, 66])/4 + (21*f[7, 67])/8 - (19*f[7, 68])/2 - 
       (19*f[7, 69])/2 + (19*f[7, 70])/8 - (19*f[7, 71])/8 + 
       (19*f[7, 72])/2 - (19*f[7, 73])/2 - (19*f[7, 74])/2 + 
       (133*f[7, 75])/24 + (187*f[7, 76])/16 - (179*f[7, 77])/16 + 
       (19*f[7, 78])/4 - (115*f[7, 79])/24 + (107*f[7, 80])/24 - 
       (53*f[7, 81])/2 + (239*f[7, 82])/12 + (17*f[7, 83])/2 + 
       (109*f[7, 84])/24 - (287*f[7, 85])/48 - (535*f[7, 86])/24 - 
       (199*f[7, 87])/24 + (113*f[7, 88])/24 - (139*f[7, 89])/24 - 
       (29*f[7, 90])/48 + (739*f[7, 91])/12 - (51*f[7, 92])/4 - 
       (173*f[7, 93])/48 + (157*f[7, 94])/8 - (163*f[7, 95])/8 + 
       (103*f[7, 96])/8 - (29*f[7, 97])/24 - (29*f[7, 98])/24 - 
       (41*f[7, 99])/6 - (1249*f[7, 100])/12 - (155*f[7, 101])/12 - 
       (175*f[7, 102])/6 + (35*f[7, 103])/6 - (137*f[7, 104])/6 + 
       (173*f[7, 105])/24 + (142*f[7, 106])/3 - (367*f[7, 107])/6 + 
       (463*f[7, 108])/24 + (111*f[7, 109])/8 + (19*f[7, 110])/16 + 
       (11*f[7, 111])/24 + (73*f[7, 112])/8 + (245*f[7, 113])/12 + 
       (251*f[7, 114])/24 + (739*f[7, 115])/48 - (53*f[7, 116])/24 - 
       (3475*f[7, 117])/12 + (485*f[7, 118])/48 + (2081*f[7, 119])/48 + 
       (123*f[7, 120])/8 - (145*f[7, 121])/8 + (917*f[7, 122])/24 + 
       (75*f[7, 123])/8 - (55*f[7, 124])/2 - (839*f[7, 125])/24 + 
       (91*f[7, 126])/6 + 2*f[7, 136] - 8*f[7, 137] - (31*f[7, 138])/4 - 
       24*f[7, 146] - 11*f[7, 147] - (167*f[7, 148])/4 - (279*f[7, 149])/4 - 
       (985*f[7, 150])/12)*SPw2f1[u, v]*SPw4f7[u, v] + 
     (-4*f[7, 5] - f[7, 47]/2 + 2*f[7, 50] - f[7, 52] + 2*f[7, 53] + 
       4*f[7, 55] - f[7, 56]/8 + (55*f[7, 57])/16 + 25*f[7, 58] - 
       (11*f[7, 59])/4 + (21*f[7, 60])/32 + (19*f[7, 61])/16 - 
       (167*f[7, 62])/16 - (167*f[7, 63])/16 + (167*f[7, 64])/16 + 
       (59*f[7, 65])/16 - (19*f[7, 66])/8 - (235*f[7, 67])/16 - 
       (47*f[7, 68])/4 - (43*f[7, 69])/4 + (43*f[7, 70])/16 - 
       (43*f[7, 71])/16 + (55*f[7, 72])/4 - (43*f[7, 73])/4 - 
       (47*f[7, 74])/4 - (263*f[7, 75])/16 + (739*f[7, 76])/32 - 
       (147*f[7, 77])/32 + (43*f[7, 78])/8 + (7*f[7, 79])/16 - 
       (139*f[7, 80])/16 + (399*f[7, 81])/4 + (497*f[7, 82])/8 + 
       (111*f[7, 83])/4 + (35*f[7, 84])/16 - (969*f[7, 85])/32 - 
       (1035*f[7, 86])/16 - (551*f[7, 87])/16 + (55*f[7, 88])/16 + 
       (105*f[7, 89])/16 + (113*f[7, 90])/32 - (1083*f[7, 91])/8 - 
       (27*f[7, 92])/2 - (1035*f[7, 93])/32 - (955*f[7, 94])/16 - 
       (471*f[7, 95])/16 - (305*f[7, 96])/16 + (533*f[7, 97])/16 + 
       (533*f[7, 98])/16 - (75*f[7, 99])/4 + (125*f[7, 100])/8 + 
       (27*f[7, 101])/4 + (207*f[7, 102])/4 - (81*f[7, 103])/4 + 
       (449*f[7, 104])/8 - (373*f[7, 105])/16 - 6*f[7, 106] + 
       (69*f[7, 107])/4 - (273*f[7, 108])/16 - (415*f[7, 109])/16 - 
       (229*f[7, 110])/32 - (657*f[7, 111])/16 + (549*f[7, 112])/16 - 
       (121*f[7, 113])/4 - (195*f[7, 114])/16 - (1439*f[7, 115])/32 + 
       (365*f[7, 116])/16 + (75*f[7, 117])/8 - (1109*f[7, 118])/32 - 
       (413*f[7, 119])/32 + (141*f[7, 120])/16 + (193*f[7, 121])/16 - 
       (123*f[7, 122])/16 + (125*f[7, 123])/16 + (17*f[7, 124])/4 + 
       (553*f[7, 125])/16 + (101*f[7, 126])/8 + f[7, 136] + 47*f[7, 137] + 
       43*f[7, 138] + 2*f[7, 145] + 48*f[7, 146] + (53*f[7, 147])/2 + 
       (177*f[7, 148])/4 + (423*f[7, 149])/8 + (245*f[7, 150])/2)*
      HPL[{1}, 1 - u]*SPw5f10[u, v] + (f[7, 56]/2 - f[7, 57]/4 - 6*f[7, 58] - 
       f[7, 59]/3 + f[7, 60]/8 + (3*f[7, 61])/4 + (79*f[7, 62])/24 + 
       (79*f[7, 63])/24 - (79*f[7, 64])/24 + (19*f[7, 65])/4 - 
       (9*f[7, 66])/2 + (3*f[7, 67])/4 - 9*f[7, 68] - 9*f[7, 69] + 
       (9*f[7, 70])/4 - (9*f[7, 71])/4 + 9*f[7, 72] - 9*f[7, 73] - 
       9*f[7, 74] + (29*f[7, 75])/12 + (95*f[7, 76])/8 - (83*f[7, 77])/8 + 
       (9*f[7, 78])/2 - (14*f[7, 79])/3 + (19*f[7, 80])/12 - 15*f[7, 81] + 
       (145*f[7, 82])/6 + 13*f[7, 83] + (25*f[7, 84])/6 - (199*f[7, 85])/24 - 
       (299*f[7, 86])/12 - (125*f[7, 87])/12 + (23*f[7, 88])/6 - 
       (103*f[7, 89])/24 - (19*f[7, 90])/24 + (106*f[7, 91])/3 - 
       (51*f[7, 92])/4 - (145*f[7, 93])/24 + 11*f[7, 94] - (39*f[7, 95])/2 + 
       (17*f[7, 96])/2 + (19*f[7, 97])/6 + (19*f[7, 98])/6 - 
       (173*f[7, 99])/24 - (503*f[7, 100])/6 - (241*f[7, 101])/24 - 
       (469*f[7, 102])/24 + (19*f[7, 103])/12 - (329*f[7, 104])/24 + 
       (25*f[7, 105])/12 + (245*f[7, 106])/6 - (295*f[7, 107])/6 + 
       (349*f[7, 108])/24 + (87*f[7, 109])/8 - (3*f[7, 110])/4 - 
       (109*f[7, 111])/24 + (85*f[7, 112])/8 + (283*f[7, 113])/24 + 
       (103*f[7, 114])/12 + (239*f[7, 115])/24 - f[7, 116]/12 - 
       (736*f[7, 117])/3 + (53*f[7, 118])/12 + (841*f[7, 119])/24 + 
       (113*f[7, 120])/8 - (101*f[7, 121])/8 + (695*f[7, 122])/24 + 
       (61*f[7, 123])/8 - (81*f[7, 124])/4 - (545*f[7, 125])/24 + 
       (301*f[7, 126])/24 - 2*f[7, 136] + 11*f[7, 137] + (21*f[7, 138])/2 - 
       8*f[7, 146] - 4*f[7, 147] - (47*f[7, 148])/4 - (69*f[7, 149])/4 - 
       (301*f[7, 150])/12)*HPL[{1}, 1 - v]*SPw5f10[u, v] + 
     (-2*f[7, 23] + f[7, 25] + f[7, 29] + 2*f[7, 41] + 2*f[7, 42] - 
       f[7, 48] + f[7, 51] + 4*f[7, 52] + f[7, 54] + f[7, 56]/2 - 
       (21*f[7, 57])/4 - 24*f[7, 58] + (3*f[7, 59])/2 - (3*f[7, 60])/8 - 
       (13*f[7, 61])/4 + (71*f[7, 62])/8 + (71*f[7, 63])/8 - 
       (71*f[7, 64])/8 + (71*f[7, 65])/4 - (41*f[7, 66])/2 + (5*f[7, 67])/4 - 
       43*f[7, 68] - 43*f[7, 69] + (43*f[7, 70])/4 - (43*f[7, 71])/4 + 
       43*f[7, 72] - 45*f[7, 73] - 43*f[7, 74] + (31*f[7, 75])/4 + 
       (443*f[7, 76])/8 - (319*f[7, 77])/8 + (43*f[7, 78])/2 - 
       (105*f[7, 79])/4 - f[7, 80]/4 - (131*f[7, 81])/2 + (277*f[7, 82])/2 + 
       87*f[7, 83] + (85*f[7, 84])/4 - (377*f[7, 85])/8 - (501*f[7, 86])/4 - 
       (223*f[7, 87])/4 + (81*f[7, 88])/4 - (139*f[7, 89])/8 - 
       (99*f[7, 90])/8 + 135*f[7, 91] - (139*f[7, 92])/2 - (311*f[7, 93])/8 + 
       (143*f[7, 94])/4 - (367*f[7, 95])/4 + 30*f[7, 96] + 25*f[7, 97] + 
       25*f[7, 98] - (289*f[7, 99])/8 - (713*f[7, 100])/2 - 
       (301*f[7, 101])/8 - (635*f[7, 102])/8 + (25*f[7, 103])/4 - 
       (463*f[7, 104])/8 - (11*f[7, 105])/2 + 197*f[7, 106] - 
       (387*f[7, 107])/2 + (497*f[7, 108])/8 + (393*f[7, 109])/8 - 
       17*f[7, 110] - (225*f[7, 111])/8 + (465*f[7, 112])/8 + 
       (279*f[7, 113])/8 + (71*f[7, 114])/2 + (319*f[7, 115])/8 + 
       8*f[7, 116] - 1061*f[7, 117] + 11*f[7, 118] + (1171*f[7, 119])/8 + 
       (569*f[7, 120])/8 - (439*f[7, 121])/8 + (1079*f[7, 122])/8 + 
       (319*f[7, 123])/8 - (383*f[7, 124])/4 - (769*f[7, 125])/8 + 
       (503*f[7, 126])/8 - 11*f[7, 136] + (359*f[7, 137])/4 + 
       (1293*f[7, 138])/16 - 2*f[7, 145] - 26*f[7, 146] - (31*f[7, 147])/2 - 
       (19*f[7, 148])/4 + (143*f[7, 149])/16 - (429*f[7, 150])/8)*
      HPL[{1}, 1 - u]*SPw5f11[v, u] + (4*f[7, 5] - 2*f[7, 48] + 
       (13*f[7, 56])/4 - (3*f[7, 57])/8 - 15*f[7, 58] + (11*f[7, 59])/6 + 
       (47*f[7, 60])/16 - (7*f[7, 61])/8 + (319*f[7, 62])/48 + 
       (319*f[7, 63])/48 - (319*f[7, 64])/48 - (67*f[7, 65])/8 + 
       (25*f[7, 66])/4 + (85*f[7, 67])/8 + (25*f[7, 68])/2 + 
       (25*f[7, 69])/2 - (25*f[7, 70])/8 + (25*f[7, 71])/8 - 
       (25*f[7, 72])/2 + (25*f[7, 73])/2 + (25*f[7, 74])/2 + 
       (143*f[7, 75])/24 - (307*f[7, 76])/16 + (167*f[7, 77])/16 - 
       (25*f[7, 78])/4 + (31*f[7, 79])/6 + (241*f[7, 80])/24 - 
       (75*f[7, 81])/2 - (689*f[7, 82])/12 - (109*f[7, 83])/2 - 
       (20*f[7, 84])/3 + (1259*f[7, 85])/48 + (1201*f[7, 86])/24 + 
       (589*f[7, 87])/24 - (41*f[7, 88])/6 - (79*f[7, 89])/48 + 
       (323*f[7, 90])/48 + (745*f[7, 91])/6 + (107*f[7, 92])/8 + 
       (1397*f[7, 93])/48 + (173*f[7, 94])/4 + 31*f[7, 95] + 
       (17*f[7, 96])/4 - (107*f[7, 97])/3 - (107*f[7, 98])/3 + 
       (787*f[7, 99])/48 + (391*f[7, 100])/12 + (47*f[7, 101])/48 - 
       (1381*f[7, 102])/48 + (379*f[7, 103])/24 - (1637*f[7, 104])/48 + 
       (481*f[7, 105])/24 - (403*f[7, 106])/12 + (197*f[7, 107])/12 + 
       (217*f[7, 108])/48 + (91*f[7, 109])/16 + (33*f[7, 110])/4 + 
       (1607*f[7, 111])/48 - (535*f[7, 112])/16 + (1219*f[7, 113])/48 + 
       (133*f[7, 114])/24 + (881*f[7, 115])/48 - (391*f[7, 116])/24 + 
       (881*f[7, 117])/6 + (167*f[7, 118])/6 - (593*f[7, 119])/48 - 
       (335*f[7, 120])/16 + (35*f[7, 121])/16 - (1009*f[7, 122])/48 - 
       (239*f[7, 123])/16 + (137*f[7, 124])/8 - (341*f[7, 125])/48 - 
       (947*f[7, 126])/48 - f[7, 135] + f[7, 136] - (179*f[7, 137])/4 - 
       (633*f[7, 138])/16 - 32*f[7, 146] - 22*f[7, 147] - (97*f[7, 148])/2 - 
       (695*f[7, 149])/16 - (1877*f[7, 150])/24)*HPL[{1}, 1 - u]*
      SPw5f12[u, v] + (2*f[7, 48] - 3*f[7, 56] - f[7, 57] - 2*f[7, 58] - 
       3*f[7, 60] - f[7, 61] + (11*f[7, 62])/8 + (11*f[7, 63])/8 - 
       (11*f[7, 64])/8 + 5*f[7, 65] - 6*f[7, 66] - 2*f[7, 67] - 12*f[7, 68] - 
       12*f[7, 69] + 3*f[7, 70] - 3*f[7, 71] + 12*f[7, 72] - 12*f[7, 73] - 
       12*f[7, 74] + (3*f[7, 75])/2 + (31*f[7, 76])/2 - (23*f[7, 77])/2 + 
       6*f[7, 78] - (11*f[7, 79])/2 - (3*f[7, 80])/4 - 2*f[7, 81] + 
       39*f[7, 82] + 21*f[7, 83] + (11*f[7, 84])/2 - 15*f[7, 85] - 
       (71*f[7, 86])/2 - (31*f[7, 87])/2 + (11*f[7, 88])/2 - 
       (23*f[7, 89])/8 - 4*f[7, 90] + (15*f[7, 91])/2 - (69*f[7, 92])/4 - 
       (23*f[7, 93])/2 - 2*f[7, 94] - 27*f[7, 95] + (25*f[7, 96])/4 + 
       (41*f[7, 97])/4 + (41*f[7, 98])/4 - (79*f[7, 99])/8 - 85*f[7, 100] - 
       (71*f[7, 101])/8 - (79*f[7, 102])/8 - (9*f[7, 103])/4 - 
       (31*f[7, 104])/8 - (9*f[7, 105])/4 + (87*f[7, 106])/2 - 
       (95*f[7, 107])/2 + (85*f[7, 108])/8 + (49*f[7, 109])/8 - 
       (29*f[7, 110])/8 - (97*f[7, 111])/8 + (153*f[7, 112])/8 + 
       (35*f[7, 113])/8 + (17*f[7, 114])/4 + (11*f[7, 115])/4 + 
       (23*f[7, 116])/4 - (503*f[7, 117])/2 - (31*f[7, 118])/8 + 
       (65*f[7, 119])/2 + (135*f[7, 120])/8 - (103*f[7, 121])/8 + 
       (263*f[7, 122])/8 + (91*f[7, 123])/8 - (97*f[7, 124])/4 - 
       (157*f[7, 125])/8 + (145*f[7, 126])/8 + f[7, 135] + 2*f[7, 136] + 
       6*f[7, 137] + (19*f[7, 138])/4 - 8*f[7, 146] - (5*f[7, 147])/2 - 
       (75*f[7, 148])/4 - 46*f[7, 149] - (151*f[7, 150])/4)*HPL[{1}, 1 - u]*
      SPw5f15[u, v] + (-f[7, 56]/4 - f[7, 57]/8 - 2*f[7, 58] + f[7, 59]/6 - 
       (3*f[7, 60])/16 - (5*f[7, 61])/8 + (19*f[7, 62])/24 + 
       (19*f[7, 63])/24 - (19*f[7, 64])/24 + (3*f[7, 65])/8 - 
       (3*f[7, 66])/4 + (5*f[7, 67])/8 - (3*f[7, 68])/2 - (3*f[7, 69])/2 + 
       (3*f[7, 70])/8 - (3*f[7, 71])/8 + (3*f[7, 72])/2 - (3*f[7, 73])/2 - 
       (3*f[7, 74])/2 + (31*f[7, 75])/24 + (27*f[7, 76])/16 - 
       (27*f[7, 77])/16 + (3*f[7, 78])/4 - (19*f[7, 79])/24 + 
       (23*f[7, 80])/24 - (11*f[7, 81])/2 + (35*f[7, 82])/12 + f[7, 83]/2 + 
       (19*f[7, 84])/24 - (35*f[7, 85])/48 - (73*f[7, 86])/24 - 
       (25*f[7, 87])/24 + (23*f[7, 88])/24 - (25*f[7, 89])/24 - 
       (17*f[7, 90])/48 + (151*f[7, 91])/12 - (9*f[7, 92])/4 - 
       (17*f[7, 93])/48 + (31*f[7, 94])/8 - (25*f[7, 95])/8 + 
       (19*f[7, 96])/8 - (17*f[7, 97])/24 - (17*f[7, 98])/24 - 
       (13*f[7, 99])/12 - (217*f[7, 100])/12 - (13*f[7, 101])/6 - 
       (65*f[7, 102])/12 + (4*f[7, 103])/3 - (55*f[7, 104])/12 + 
       (35*f[7, 105])/24 + (25*f[7, 106])/3 - (61*f[7, 107])/6 + 
       (85*f[7, 108])/24 + (21*f[7, 109])/8 + (3*f[7, 110])/16 + 
       (17*f[7, 111])/24 + (11*f[7, 112])/8 + (47*f[7, 113])/12 + 
       (41*f[7, 114])/24 + (151*f[7, 115])/48 - (11*f[7, 116])/24 - 
       (583*f[7, 117])/12 + (101*f[7, 118])/48 + (353*f[7, 119])/48 + 
       (21*f[7, 120])/8 - (29*f[7, 121])/8 + (179*f[7, 122])/24 + 
       (15*f[7, 123])/8 - (11*f[7, 124])/2 - (173*f[7, 125])/24 + 
       (35*f[7, 126])/12 + f[7, 136] - (17*f[7, 137])/4 - (65*f[7, 138])/16 - 
       6*f[7, 146] - (5*f[7, 147])/2 - (85*f[7, 148])/8 - 
       (305*f[7, 149])/16 - (259*f[7, 150])/12)*HPL[{1}, 1 - v]*
      SPw5f16[v, u] + (-f[7, 46] + f[7, 70]/4 - f[7, 71]/4 - 
       (3*f[7, 75])/16 + f[7, 79]/4 + f[7, 80]/4 + (3*f[7, 81])/4 - 
       (5*f[7, 82])/4 + (7*f[7, 83])/4 - f[7, 84]/4 + (5*f[7, 85])/16 + 
       (7*f[7, 86])/16 + (5*f[7, 87])/16 - f[7, 88]/4 + f[7, 90]/4 - 
       4*f[7, 91] + (21*f[7, 92])/16 - (5*f[7, 93])/16 - f[7, 94]/4 + 
       (3*f[7, 95])/8 + (5*f[7, 99])/16 + (5*f[7, 102])/16 + f[7, 104]/2 + 
       f[7, 105]/4 - 2*f[7, 106] + (3*f[7, 107])/2 - f[7, 108]/2 - 
       f[7, 109]/2 + (5*f[7, 110])/16 + f[7, 111]/8 - (9*f[7, 112])/16 + 
       f[7, 113]/4 - f[7, 114]/4 - (5*f[7, 115])/8 - f[7, 116]/4 + 
       4*f[7, 117] - f[7, 118]/4 - f[7, 119]/2 - f[7, 120]/2 + f[7, 121]/2 - 
       (3*f[7, 122])/2 - f[7, 123]/2 + f[7, 124] + f[7, 125] - 
       (3*f[7, 126])/4 - f[7, 138]/16 + f[7, 145] + (5*f[7, 148])/16 + 
       (15*f[7, 150])/16)*HPL[{1}, 1 - u]*SPw5f2[u, v] + 
     (-f[7, 46] - (3*f[7, 137])/2 - (27*f[7, 138])/16 + f[7, 145] - 
       (29*f[7, 148])/16 - (17*f[7, 149])/4 - (51*f[7, 150])/16)*
      HPL[{1}, 1 - u]*SPw5f2[v, u] - f[7, 27]*HPL[{1}, 1 - u]*SPw5f3[u, v] - 
     f[7, 135]*HPL[{1}, 1 - u]*SPw5f5[v, u] + 
     (f[7, 56]/4 + f[7, 57]/8 - 2*f[7, 58] - f[7, 59]/6 + (3*f[7, 60])/16 + 
       (5*f[7, 61])/8 + (29*f[7, 62])/24 + (29*f[7, 63])/24 - 
       (29*f[7, 64])/24 + (13*f[7, 65])/8 - (5*f[7, 66])/4 + (3*f[7, 67])/8 - 
       (5*f[7, 68])/2 - (5*f[7, 69])/2 + (5*f[7, 70])/8 - (5*f[7, 71])/8 + 
       (5*f[7, 72])/2 - (5*f[7, 73])/2 - (5*f[7, 74])/2 + (35*f[7, 75])/24 + 
       (53*f[7, 76])/16 - (53*f[7, 77])/16 + (5*f[7, 78])/4 - 
       (29*f[7, 79])/24 + (25*f[7, 80])/24 - (11*f[7, 81])/2 + 
       (73*f[7, 82])/12 + (3*f[7, 83])/2 + (35*f[7, 84])/24 - 
       (97*f[7, 85])/48 - (161*f[7, 86])/24 - (65*f[7, 87])/24 + 
       (31*f[7, 88])/24 - (23*f[7, 89])/24 + (5*f[7, 90])/48 + 
       (137*f[7, 91])/12 - (15*f[7, 92])/4 - (67*f[7, 93])/48 + 
       (35*f[7, 94])/8 - (49*f[7, 95])/8 + (21*f[7, 96])/8 + 
       (17*f[7, 97])/24 + (17*f[7, 98])/24 - (23*f[7, 99])/12 - 
       (263*f[7, 100])/12 - (17*f[7, 101])/6 - (67*f[7, 102])/12 - 
       f[7, 103]/3 - (47*f[7, 104])/12 + (31*f[7, 105])/24 + 
       (35*f[7, 106])/3 - (83*f[7, 107])/6 + (95*f[7, 108])/24 + 
       (15*f[7, 109])/8 - (7*f[7, 110])/16 - (17*f[7, 111])/24 + 
       (29*f[7, 112])/8 + (29*f[7, 113])/6 + (49*f[7, 114])/24 + 
       (173*f[7, 115])/48 + (17*f[7, 116])/24 - (857*f[7, 117])/12 + 
       (55*f[7, 118])/48 + (487*f[7, 119])/48 + (31*f[7, 120])/8 - 
       (37*f[7, 121])/8 + (253*f[7, 122])/24 + (19*f[7, 123])/8 - 
       7*f[7, 124] - (199*f[7, 125])/24 + (61*f[7, 126])/12 - f[7, 137]/2 + 
       f[7, 138]/8 - 4*f[7, 146] - 2*f[7, 147] - (17*f[7, 148])/2 - 
       (111*f[7, 149])/8 - (209*f[7, 150])/12)*HPL[{1}, 1 - v]*SPw5f5[v, u] + 
     (f[7, 30]/4 - f[7, 50]/2 - f[7, 53]/2 - f[7, 55]/2 + 2*f[7, 65] - 
       (3*f[7, 66])/2 - (3*f[7, 67])/4 - 2*f[7, 68] - 2*f[7, 69] + 
       f[7, 70]/2 - f[7, 71]/2 + (7*f[7, 72])/4 - (7*f[7, 73])/4 - 
       (7*f[7, 74])/4 - (15*f[7, 75])/32 + (37*f[7, 76])/16 - 3*f[7, 77] + 
       f[7, 78] - (23*f[7, 79])/32 - (11*f[7, 80])/32 + (7*f[7, 81])/8 + 
       (45*f[7, 82])/8 + (15*f[7, 83])/4 + (23*f[7, 84])/32 - 
       (77*f[7, 85])/32 - (193*f[7, 86])/32 - (81*f[7, 87])/32 + 
       (23*f[7, 88])/32 - (5*f[7, 89])/8 - (11*f[7, 90])/32 - 2*f[7, 91] - 
       (67*f[7, 92])/32 - (57*f[7, 93])/32 - (31*f[7, 94])/32 - 
       (139*f[7, 95])/32 + (5*f[7, 96])/4 + (11*f[7, 97])/8 + 
       (11*f[7, 98])/8 - (61*f[7, 99])/32 - (69*f[7, 100])/4 - 
       (43*f[7, 101])/16 - (47*f[7, 102])/32 - (5*f[7, 103])/16 + 
       f[7, 104]/4 - (23*f[7, 105])/32 + (23*f[7, 106])/4 - 11*f[7, 107] + 
       (23*f[7, 108])/16 + (23*f[7, 109])/16 - f[7, 110]/32 - 
       (23*f[7, 111])/8 + (23*f[7, 112])/8 + f[7, 113]/32 + 
       (23*f[7, 114])/32 - (11*f[7, 115])/32 + (11*f[7, 116])/32 - 
       46*f[7, 117] - (31*f[7, 118])/32 + (53*f[7, 119])/8 + 
       (45*f[7, 120])/16 - (23*f[7, 121])/16 + (61*f[7, 122])/16 + 
       (23*f[7, 123])/16 - (23*f[7, 124])/8 - (17*f[7, 125])/8 + 
       (57*f[7, 126])/32 + 2*f[7, 137] + (21*f[7, 138])/16 + f[7, 147]/4 - 
       (27*f[7, 148])/16 - (11*f[7, 149])/2 - (23*f[7, 150])/16)*
      HPL[{1}, 1 - u]*SPw5f6[u, v] + (f[7, 137]/2 + (17*f[7, 138])/16 + 
       f[7, 147]/4 + (23*f[7, 148])/16 + (7*f[7, 149])/4 + (47*f[7, 150])/16)*
      HPL[{1}, 1 - u]*SPw5f6[v, u] - f[7, 45]*HPL[{1}, 1 - u]*SPw5f7[u, v] - 
     f[7, 5]*HPL[{1}, 1 - u]*SPw5f8[u, v] + 
     (-2*f[7, 58] + (7*f[7, 62])/8 + (7*f[7, 63])/8 - (7*f[7, 64])/8 + 
       f[7, 65] - f[7, 66] + f[7, 67]/2 - 2*f[7, 68] - 2*f[7, 69] + 
       f[7, 70]/2 - f[7, 71]/2 + 2*f[7, 72] - 2*f[7, 73] - 2*f[7, 74] + 
       f[7, 75]/2 + (5*f[7, 76])/2 - (3*f[7, 77])/2 + f[7, 78] - 
       (5*f[7, 79])/4 + f[7, 80]/2 - 6*f[7, 81] + 5*f[7, 82] + 2*f[7, 83] + 
       (3*f[7, 84])/4 - (3*f[7, 85])/2 - 5*f[7, 86] - 2*f[7, 87] + 
       (3*f[7, 88])/4 - (11*f[7, 89])/8 - f[7, 90]/4 + (23*f[7, 91])/2 - 
       (13*f[7, 92])/4 - f[7, 93]/2 + (11*f[7, 94])/4 - (15*f[7, 95])/4 + 
       (9*f[7, 96])/4 + f[7, 97]/4 + f[7, 98]/4 - (11*f[7, 99])/8 - 
       19*f[7, 100] - (15*f[7, 101])/8 - (43*f[7, 102])/8 + (5*f[7, 103])/4 - 
       (35*f[7, 104])/8 + f[7, 105] + (19*f[7, 106])/2 - (19*f[7, 107])/2 + 
       (33*f[7, 108])/8 + (29*f[7, 109])/8 - f[7, 110]/8 - f[7, 111]/8 + 
       (11*f[7, 112])/8 + (25*f[7, 113])/8 + (5*f[7, 114])/2 + 3*f[7, 115] - 
       f[7, 116] - (107*f[7, 117])/2 + (15*f[7, 118])/8 + 8*f[7, 119] + 
       (27*f[7, 120])/8 - (23*f[7, 121])/8 + (47*f[7, 122])/8 + 
       (15*f[7, 123])/8 - (19*f[7, 124])/4 - (45*f[7, 125])/8 + 
       (15*f[7, 126])/8 - 2*f[7, 136] + 12*f[7, 137] + (45*f[7, 138])/4 - 
       f[7, 147] + (33*f[7, 148])/4 + (43*f[7, 149])/2 + (43*f[7, 150])/4)*
      HPL[{1}, 1 - v]*SPw5f9[u, v] + (-2*f[7, 23] + f[7, 25] + f[7, 29] + 
       2*f[7, 41] + 2*f[7, 42] - f[7, 48] + f[7, 51] + 4*f[7, 52] + 
       f[7, 54] - 2*f[7, 55] - f[7, 56]/2 - (17*f[7, 57])/4 - 24*f[7, 58] + 
       (13*f[7, 59])/6 - (7*f[7, 60])/8 - (21*f[7, 61])/4 + 
       (205*f[7, 62])/24 + (205*f[7, 63])/24 - (205*f[7, 64])/24 + 
       (23*f[7, 65])/4 - (17*f[7, 66])/2 + (29*f[7, 67])/4 - 19*f[7, 68] - 
       19*f[7, 69] + (19*f[7, 70])/4 - (19*f[7, 71])/4 + 17*f[7, 72] - 
       21*f[7, 73] - 19*f[7, 74] + (283*f[7, 75])/24 + (175*f[7, 76])/8 - 
       (147*f[7, 77])/8 + (19*f[7, 78])/2 - (379*f[7, 79])/24 + 
       (77*f[7, 80])/24 - 75*f[7, 81] + (161*f[7, 82])/3 + 47*f[7, 83] + 
       (271*f[7, 84])/24 - (85*f[7, 85])/6 - (1051*f[7, 86])/24 - 
       (415*f[7, 87])/24 + (263*f[7, 88])/24 - (277*f[7, 89])/24 - 
       (113*f[7, 90])/12 + (385*f[7, 91])/3 - (259*f[7, 92])/8 - 
       (155*f[7, 93])/12 + (361*f[7, 94])/8 - (313*f[7, 95])/8 + 
       25*f[7, 96] + (2*f[7, 97])/3 + (2*f[7, 98])/3 - (77*f[7, 99])/6 - 
       (1199*f[7, 100])/6 - (535*f[7, 101])/24 - (397*f[7, 102])/6 + 
       (151*f[7, 103])/12 - (1367*f[7, 104])/24 + (131*f[7, 105])/24 + 
       (346*f[7, 106])/3 - (661*f[7, 107])/6 + (985*f[7, 108])/24 + 
       (291*f[7, 109])/8 - (67*f[7, 110])/8 + (17*f[7, 111])/24 + 
       (159*f[7, 112])/8 + (95*f[7, 113])/3 + (569*f[7, 114])/24 + 
       (118*f[7, 115])/3 - (83*f[7, 116])/24 - (1735*f[7, 117])/3 + 
       (481*f[7, 118])/24 + (2011*f[7, 119])/24 + (295*f[7, 120])/8 - 
       (289*f[7, 121])/8 + (1955*f[7, 122])/24 + (165*f[7, 123])/8 - 
       (231*f[7, 124])/4 - (1667*f[7, 125])/24 + (193*f[7, 126])/6 - 
       11*f[7, 136] + (101*f[7, 137])/2 + (377*f[7, 138])/8 - 26*f[7, 146] - 
       (33*f[7, 147])/2 + (15*f[7, 148])/4 + (293*f[7, 149])/8 - 
       (473*f[7, 150])/12)*HPL[{1}, 1 - u]*SPw5f9[v, u] + 
     f[7, 146]*SPw6f11[v, u] + f[7, 70]*SPw6f12[u, v] + 
     f[7, 67]*SPw6f12[v, u] + (f[7, 55] + f[7, 58] - f[7, 146])*
      SPw6f13[v, u] + (-f[7, 70] + f[7, 71] + f[7, 136])*SPw6f14[v, u] + 
     f[7, 73]*SPw6f15[u, v] + f[7, 52]*SPw6f17[u, v] + 
     f[7, 124]*SPw6f18[u, v] + f[7, 100]*SPw6f19[v, u] + 
     f[7, 2]*SPw6f2[u, v] + (f[7, 51] + f[7, 136])*SPw6f2[v, u] + 
     f[7, 118]*SPw6f21[u, v] + f[7, 79]*SPw6f21[v, u] + 
     (f[7, 107] + f[7, 117])*SPw6f23[u, v] + f[7, 83]*SPw6f23[v, u] + 
     f[7, 108]*SPw6f24[u, v] + f[7, 104]*SPw6f24[v, u] + 
     f[7, 119]*SPw6f25[u, v] + f[7, 93]*SPw6f25[v, u] + 
     f[7, 103]*SPw6f26[u, v] + f[7, 99]*SPw6f28[v, u] + 
     (-f[7, 77] - 4*f[7, 83] - f[7, 92] + f[7, 93] + f[7, 102] - 
       2*f[7, 103] + f[7, 104] + f[7, 108] + f[7, 115] - 4*f[7, 117] - 
       f[7, 118])*SPw6f29[u, v] + f[7, 94]*SPw6f29[v, u] + 
     f[7, 3]*SPw6f3[u, v] + f[7, 56]*SPw6f3[v, u] + f[7, 102]*SPw6f30[u, v] + 
     f[7, 105]*SPw6f31[u, v] + (f[7, 123] - f[7, 124])*SPw6f32[v, u] + 
     f[7, 80]*SPw6f33[v, u] + f[7, 126]*SPw6f34[u, v] + 
     (-f[7, 94] + f[7, 110])*SPw6f35[u, v] + 
     (4*f[7, 83] + f[7, 92] - f[7, 93] + f[7, 94] - f[7, 102] - f[7, 104])*
      SPw6f35[v, u] + (f[7, 121] - f[7, 122] - f[7, 123] + 2*f[7, 124] + 
       2*f[7, 125] - f[7, 126])*SPw6f36[u, v] + 2*f[7, 150]*SPw6f36[v, u] + 
     f[7, 111]*SPw6f37[u, v] + (-f[7, 93] + f[7, 113] + f[7, 138])*
      SPw6f38[v, u] + f[7, 106]*SPw6f39[u, v] + f[7, 98]*SPw6f4[u, v] + 
     f[7, 97]*SPw6f4[v, u] + (-f[7, 62]/4 - f[7, 63]/4 + f[7, 64]/4 + 
       f[7, 75]/4 + f[7, 77]/2 - f[7, 79]/4 - f[7, 80]/4 - f[7, 81] + 
       f[7, 82] + f[7, 84]/4 - f[7, 85]/4 - f[7, 86]/4 - f[7, 87]/4 + 
       f[7, 88]/4 + f[7, 89]/4 - f[7, 90]/4 - f[7, 91] - (3*f[7, 92])/4 - 
       f[7, 93]/4 - (3*f[7, 94])/4 - f[7, 95]/4 - f[7, 96]/2 + f[7, 97]/2 + 
       f[7, 98]/2 + 4*f[7, 100] + (3*f[7, 101])/4 + f[7, 102]/2 - 
       f[7, 103]/2 + f[7, 104]/4 - (3*f[7, 105])/4 + 3*f[7, 107] - 
       f[7, 108]/4 - f[7, 109]/4 - f[7, 110]/2 - f[7, 111]/4 + 
       (3*f[7, 112])/4 - f[7, 113]/2 - f[7, 114]/4 + f[7, 115]/4 + 
       (3*f[7, 116])/4 + 5*f[7, 117] - f[7, 118]/2 - f[7, 119] + 
       f[7, 120]/4 - f[7, 121]/4 + (5*f[7, 122])/4 + f[7, 123]/4 - 
       f[7, 124]/2 - f[7, 125]/4 + f[7, 126] - f[7, 150])*SPw6f40[u, v] + 
     (-f[7, 62]/4 - f[7, 63]/4 + f[7, 64]/4 + f[7, 75]/4 - f[7, 79]/4 - 
       f[7, 80]/4 - f[7, 81] + f[7, 82] + 2*f[7, 83] + f[7, 84]/4 - 
       f[7, 85]/4 - f[7, 86]/4 - f[7, 87]/4 + f[7, 88]/4 + f[7, 89]/4 - 
       f[7, 90]/4 - f[7, 91] - f[7, 92]/4 - (3*f[7, 93])/4 + f[7, 94]/4 - 
       f[7, 95]/4 - f[7, 96]/2 + f[7, 97]/2 + f[7, 98]/2 + 2*f[7, 100] + 
       f[7, 101]/4 - f[7, 103]/2 - f[7, 104]/4 - (3*f[7, 105])/4 + 
       f[7, 106] + f[7, 107] - f[7, 108]/4 - f[7, 109]/4 - f[7, 110]/2 - 
       f[7, 111]/4 + (3*f[7, 112])/4 - f[7, 113]/2 - f[7, 114]/4 + 
       f[7, 115]/4 + (3*f[7, 116])/4 + f[7, 117] - f[7, 118]/2 - 
       f[7, 119]/2 + f[7, 120]/4 - f[7, 121]/4 + (5*f[7, 122])/4 + 
       f[7, 123]/4 - f[7, 124]/2 - f[7, 125]/4 + f[7, 126] - f[7, 150])*
      SPw6f40[v, u] + ((-3*f[7, 56])/2 + (5*f[7, 57])/4 + 8*f[7, 58] + 
       f[7, 59] - f[7, 60]/8 - (7*f[7, 61])/4 - (9*f[7, 62])/2 - 
       (9*f[7, 63])/2 + (9*f[7, 64])/2 - (39*f[7, 65])/4 + (19*f[7, 66])/2 + 
       (3*f[7, 67])/4 + 19*f[7, 68] + 19*f[7, 69] - (19*f[7, 70])/4 + 
       (19*f[7, 71])/4 - 19*f[7, 72] + 19*f[7, 73] + 19*f[7, 74] - 
       (3*f[7, 75])/4 - (207*f[7, 76])/8 + (159*f[7, 77])/8 - 
       (19*f[7, 78])/2 + (39*f[7, 79])/4 - f[7, 80]/4 + 17*f[7, 81] - 
       (117*f[7, 82])/2 - 37*f[7, 83] - (33*f[7, 84])/4 + (169*f[7, 85])/8 + 
       (229*f[7, 86])/4 + (101*f[7, 87])/4 - (29*f[7, 88])/4 + 8*f[7, 89] + 
       (23*f[7, 90])/8 - (91*f[7, 91])/2 + 27*f[7, 92] + (139*f[7, 93])/8 - 
       (47*f[7, 94])/4 + (161*f[7, 95])/4 - (53*f[7, 96])/4 - 
       (47*f[7, 97])/4 - (47*f[7, 98])/4 + (67*f[7, 99])/4 + 
       (323*f[7, 100])/2 + (73*f[7, 101])/4 + (123*f[7, 102])/4 - 
       (3*f[7, 103])/2 + (79*f[7, 104])/4 + (5*f[7, 105])/4 - 79*f[7, 106] + 
       92*f[7, 107] - (53*f[7, 108])/2 - 21*f[7, 109] + (27*f[7, 110])/8 + 
       15*f[7, 111] - 24*f[7, 112] - (59*f[7, 113])/4 - (65*f[7, 114])/4 - 
       (109*f[7, 115])/8 - (5*f[7, 116])/4 + (947*f[7, 117])/2 - 
       (33*f[7, 118])/8 - (527*f[7, 119])/8 - (59*f[7, 120])/2 + 
       21*f[7, 121] - (101*f[7, 122])/2 - (31*f[7, 123])/2 + 
       (73*f[7, 124])/2 + (71*f[7, 125])/2 - (91*f[7, 126])/4 + 4*f[7, 136] - 
       19*f[7, 137] - (71*f[7, 138])/4 + 8*f[7, 146] + 2*f[7, 147] + 
       (45*f[7, 148])/2 + (195*f[7, 149])/4 + 34*f[7, 150])*SPw6f42[u, v] + 
     (-4*f[7, 136] + 23*f[7, 137] + (91*f[7, 138])/4 + 8*f[7, 146] + 
       2*f[7, 147] + (57*f[7, 148])/2 + (243*f[7, 149])/4 + 40*f[7, 150])*
      SPw6f42[v, u] + (f[7, 56]/4 + f[7, 57]/8 - 2*f[7, 58] - f[7, 59]/6 + 
       (3*f[7, 60])/16 + (5*f[7, 61])/8 + (29*f[7, 62])/24 + 
       (29*f[7, 63])/24 - (29*f[7, 64])/24 + (13*f[7, 65])/8 - 
       (5*f[7, 66])/4 + (3*f[7, 67])/8 - (5*f[7, 68])/2 - (5*f[7, 69])/2 + 
       (5*f[7, 70])/8 - (5*f[7, 71])/8 + (5*f[7, 72])/2 - (5*f[7, 73])/2 - 
       (5*f[7, 74])/2 + (35*f[7, 75])/24 + (53*f[7, 76])/16 - 
       (53*f[7, 77])/16 + (5*f[7, 78])/4 - (29*f[7, 79])/24 + 
       (25*f[7, 80])/24 - (11*f[7, 81])/2 + (73*f[7, 82])/12 + 
       (3*f[7, 83])/2 + (35*f[7, 84])/24 - (97*f[7, 85])/48 - 
       (161*f[7, 86])/24 - (65*f[7, 87])/24 + (31*f[7, 88])/24 - 
       (23*f[7, 89])/24 + (5*f[7, 90])/48 + (137*f[7, 91])/12 - 
       (15*f[7, 92])/4 - (67*f[7, 93])/48 + (35*f[7, 94])/8 - 
       (49*f[7, 95])/8 + (21*f[7, 96])/8 + (17*f[7, 97])/24 + 
       (17*f[7, 98])/24 - (23*f[7, 99])/12 - (263*f[7, 100])/12 - 
       (17*f[7, 101])/6 - (67*f[7, 102])/12 - f[7, 103]/3 - 
       (47*f[7, 104])/12 + (31*f[7, 105])/24 + (35*f[7, 106])/3 - 
       (83*f[7, 107])/6 + (95*f[7, 108])/24 + (15*f[7, 109])/8 - 
       (7*f[7, 110])/16 - (17*f[7, 111])/24 + (29*f[7, 112])/8 + 
       (29*f[7, 113])/6 + (49*f[7, 114])/24 + (173*f[7, 115])/48 + 
       (17*f[7, 116])/24 - (857*f[7, 117])/12 + (55*f[7, 118])/48 + 
       (487*f[7, 119])/48 + (31*f[7, 120])/8 - (37*f[7, 121])/8 + 
       (253*f[7, 122])/24 + (19*f[7, 123])/8 - 7*f[7, 124] - 
       (199*f[7, 125])/24 + (61*f[7, 126])/12 - f[7, 137]/2 + f[7, 138]/8 - 
       4*f[7, 146] - 2*f[7, 147] - (17*f[7, 148])/2 - (111*f[7, 149])/8 - 
       (209*f[7, 150])/12)*SPw6f43[u, v] + 
     (-f[7, 56]/2 - f[7, 57]/4 - 2*f[7, 58] + f[7, 59]/3 - (3*f[7, 60])/8 - 
       (5*f[7, 61])/4 + (17*f[7, 62])/24 + (17*f[7, 63])/24 - 
       (17*f[7, 64])/24 - f[7, 65]/4 - f[7, 66]/2 + (3*f[7, 67])/4 - 
       f[7, 68] - f[7, 69] + f[7, 70]/4 - f[7, 71]/4 + f[7, 72] - f[7, 73] - 
       f[7, 74] + (25*f[7, 75])/12 + (7*f[7, 76])/8 - (15*f[7, 77])/8 + 
       f[7, 78]/2 - (5*f[7, 79])/6 + (11*f[7, 80])/12 - 5*f[7, 81] + 
       (5*f[7, 82])/6 - f[7, 83] + (5*f[7, 84])/6 + f[7, 85]/24 - 
       (13*f[7, 86])/12 - f[7, 87]/12 + (7*f[7, 88])/6 - (17*f[7, 89])/24 - 
       (11*f[7, 90])/24 + (41*f[7, 91])/3 - (7*f[7, 92])/4 + 
       (19*f[7, 93])/24 + 4*f[7, 94] - (5*f[7, 95])/2 + (5*f[7, 96])/2 - 
       (5*f[7, 97])/3 - (5*f[7, 98])/3 - (7*f[7, 99])/24 - 
       (103*f[7, 100])/6 - (59*f[7, 101])/24 - (119*f[7, 102])/24 + 
       (17*f[7, 103])/12 - (115*f[7, 104])/24 + (23*f[7, 105])/12 + 
       (43*f[7, 106])/6 - (65*f[7, 107])/6 + (71*f[7, 108])/24 + 
       (13*f[7, 109])/8 + f[7, 110]/2 + (37*f[7, 111])/24 + 
       (11*f[7, 112])/8 + (89*f[7, 113])/24 + (11*f[7, 114])/12 + 
       (79*f[7, 115])/24 + f[7, 116]/12 - (131*f[7, 117])/3 + 
       (7*f[7, 118])/3 + (161*f[7, 119])/24 + (15*f[7, 120])/8 - 
       (31*f[7, 121])/8 + (193*f[7, 122])/24 + (19*f[7, 123])/8 - 
       (25*f[7, 124])/4 - (187*f[7, 125])/24 + (83*f[7, 126])/24 + 
       (5*f[7, 137])/2 + (19*f[7, 138])/8 - 4*f[7, 146] - 2*f[7, 147] - 
       f[7, 148] + (9*f[7, 149])/8 - (131*f[7, 150])/12)*SPw6f43[v, u] + 
     (f[7, 56]/2 - (3*f[7, 57])/4 - 8*f[7, 58] - f[7, 59]/3 - f[7, 60]/8 + 
       f[7, 61]/4 + (25*f[7, 62])/6 + (25*f[7, 63])/6 - (25*f[7, 64])/6 + 
       (25*f[7, 65])/4 - (13*f[7, 66])/2 + (3*f[7, 67])/4 - 13*f[7, 68] - 
       13*f[7, 69] + (13*f[7, 70])/4 - (13*f[7, 71])/4 + 13*f[7, 72] - 
       13*f[7, 73] - 13*f[7, 74] + (23*f[7, 75])/12 + (137*f[7, 76])/8 - 
       (113*f[7, 77])/8 + (13*f[7, 78])/2 - (83*f[7, 79])/12 + 
       (13*f[7, 80])/12 - 19*f[7, 81] + (217*f[7, 82])/6 + 23*f[7, 83] + 
       (65*f[7, 84])/12 - (301*f[7, 85])/24 - (437*f[7, 86])/12 - 
       (185*f[7, 87])/12 + (61*f[7, 88])/12 - (20*f[7, 89])/3 - 
       (43*f[7, 90])/24 + (287*f[7, 91])/6 - 18*f[7, 92] - 
       (223*f[7, 93])/24 + (53*f[7, 94])/4 - (107*f[7, 95])/4 + 
       (47*f[7, 96])/4 + (59*f[7, 97])/12 + (59*f[7, 98])/12 - 
       (127*f[7, 99])/12 - (743*f[7, 100])/6 - (173*f[7, 101])/12 - 
       (335*f[7, 102])/12 + (23*f[7, 103])/6 - (235*f[7, 104])/12 + 
       (19*f[7, 105])/12 + (175*f[7, 106])/3 - (212*f[7, 107])/3 + 
       (127*f[7, 108])/6 + 18*f[7, 109] - (5*f[7, 110])/8 - 
       (23*f[7, 111])/3 + 14*f[7, 112] + (167*f[7, 113])/12 + 
       (157*f[7, 114])/12 + (305*f[7, 115])/24 - (19*f[7, 116])/12 - 
       (2087*f[7, 117])/6 + (157*f[7, 118])/24 + (1195*f[7, 119])/24 + 
       (41*f[7, 120])/2 - 16*f[7, 121] + (221*f[7, 122])/6 + 
       (21*f[7, 123])/2 - (53*f[7, 124])/2 - (173*f[7, 125])/6 + 
       (179*f[7, 126])/12 - 4*f[7, 136] + 23*f[7, 137] + (83*f[7, 138])/4 - 
       8*f[7, 146] - 4*f[7, 147] - (13*f[7, 148])/2 - (27*f[7, 149])/4 - 
       (46*f[7, 150])/3)*SPw6f44[u, v] + (4*f[7, 136] - 23*f[7, 137] - 
       (91*f[7, 138])/4 - 8*f[7, 146] - 2*f[7, 147] - (57*f[7, 148])/2 - 
       (243*f[7, 149])/4 - 40*f[7, 150])*SPw6f44[v, u] + 
     (f[7, 54]/2 + f[7, 66]/2)*SPw6f46[u, v] - f[7, 15]*SPw6f48[u, v] - 
     f[7, 18]*SPw6f49[u, v] + f[7, 29]*SPw6f5[u, v] + 
     (-f[7, 62]/4 - f[7, 63]/4 + f[7, 64]/4 + f[7, 75]/4 - f[7, 79]/4 - 
       f[7, 80]/4 - 2*f[7, 81] + f[7, 82] + 2*f[7, 83] + f[7, 84]/4 - 
       f[7, 85]/4 - f[7, 86]/4 - f[7, 87]/4 + f[7, 88]/4 + f[7, 89]/4 - 
       f[7, 90]/4 - f[7, 91] - f[7, 92]/4 - (3*f[7, 93])/4 + f[7, 94]/4 - 
       f[7, 95]/4 - f[7, 96]/2 + f[7, 97]/2 + (3*f[7, 98])/2 + 2*f[7, 100] + 
       f[7, 101]/4 - f[7, 103]/2 - f[7, 104]/4 - (3*f[7, 105])/4 + 
       f[7, 106] + f[7, 107] - f[7, 108]/4 - f[7, 109]/4 - f[7, 110]/2 - 
       f[7, 111]/4 + (3*f[7, 112])/4 - f[7, 113]/2 - f[7, 114]/4 + 
       f[7, 115]/4 + (3*f[7, 116])/4 + f[7, 117] - f[7, 118]/2 - 
       f[7, 119]/2 + f[7, 120]/4 - f[7, 121]/4 + (5*f[7, 122])/4 + 
       f[7, 123]/4 - f[7, 124]/2 - f[7, 125]/4 + f[7, 126] - f[7, 150])*
      SPw6f52[u, v] + (-f[7, 121] + 2*f[7, 122] + f[7, 123] - 2*f[7, 124] - 
       2*f[7, 125] + f[7, 126])*SPw6f53[u, v] + 
     (2*f[7, 58] - (7*f[7, 62])/8 - (7*f[7, 63])/8 + (7*f[7, 64])/8 - 
       f[7, 65] + f[7, 66] - f[7, 67]/2 + 2*f[7, 68] + 2*f[7, 69] - 
       f[7, 70]/2 + f[7, 71]/2 - 2*f[7, 72] + 2*f[7, 73] + 2*f[7, 74] - 
       f[7, 75]/2 - (5*f[7, 76])/2 + (3*f[7, 77])/2 - f[7, 78] + 
       (5*f[7, 79])/4 - f[7, 80]/2 + 6*f[7, 81] - 5*f[7, 82] - 2*f[7, 83] - 
       (3*f[7, 84])/4 + (3*f[7, 85])/2 + 5*f[7, 86] + 2*f[7, 87] - 
       (3*f[7, 88])/4 + (11*f[7, 89])/8 + f[7, 90]/4 - (23*f[7, 91])/2 + 
       (13*f[7, 92])/4 + f[7, 93]/2 - (11*f[7, 94])/4 + (15*f[7, 95])/4 - 
       (9*f[7, 96])/4 - f[7, 97]/4 - f[7, 98]/4 + (11*f[7, 99])/8 + 
       19*f[7, 100] + (15*f[7, 101])/8 + (43*f[7, 102])/8 - (5*f[7, 103])/4 + 
       (35*f[7, 104])/8 - f[7, 105] - (19*f[7, 106])/2 + (19*f[7, 107])/2 - 
       (33*f[7, 108])/8 - (29*f[7, 109])/8 + f[7, 110]/8 + f[7, 111]/8 - 
       (11*f[7, 112])/8 - (25*f[7, 113])/8 - (5*f[7, 114])/2 - 3*f[7, 115] + 
       f[7, 116] + (107*f[7, 117])/2 - (15*f[7, 118])/8 - 8*f[7, 119] - 
       (27*f[7, 120])/8 + (23*f[7, 121])/8 - (47*f[7, 122])/8 - 
       (15*f[7, 123])/8 + (19*f[7, 124])/4 + (45*f[7, 125])/8 - 
       (15*f[7, 126])/8 + 2*f[7, 136] - 12*f[7, 137] - (45*f[7, 138])/4 + 
       f[7, 147] - (33*f[7, 148])/4 - (43*f[7, 149])/2 - (43*f[7, 150])/4)*
      SPw6f54[u, v] + f[7, 82]*SPw6f7[v, u] + f[7, 53]*SPw6f8[v, u] + 
     f[7, 49]*SPw6f9[v, u]
 
SPuvCoproductEntriesWeight7[u] = 
    (-f[7, 128]/9 + (5*f[7, 130])/27 + (29*f[7, 131])/108 - 
       (7*f[7, 141])/18 - f[7, 142]/108 - (7*f[7, 143])/36)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]^3 + (f[7, 128]/12 + f[7, 130]/9 + (55*f[7, 131])/144 + 
       (31*f[7, 141])/96 + (49*f[7, 142])/144 - (17*f[7, 143])/96)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4 + 
     ((-5*f[7, 12])/144 + f[7, 16]/36 - (13*f[7, 17])/90 - (7*f[7, 19])/240 - 
       (37*f[7, 20])/720 + f[7, 128]/30 - (22*f[7, 130])/45 - 
       (43*f[7, 131])/180 + (3*f[7, 141])/40 - (11*f[7, 142])/120 - 
       (23*f[7, 143])/96)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5 + 
     ((-25*f[7, 12])/1728 + (5*f[7, 16])/432 - (13*f[7, 17])/216 - 
       f[7, 19]/96 - (31*f[7, 20])/1728 + f[7, 128]/24 - (5*f[7, 130])/72 + 
       f[7, 131]/18 + (67*f[7, 141])/720 - (5*f[7, 142])/108 - 
       (131*f[7, 143])/960)*HPL[{1}, 1 - v]^6 + 
     (-f[7, 21] + (2*f[7, 26])/15 - (2*f[7, 27])/15 - f[7, 28]/15 + 
       (5*f[7, 30])/8 + (2*f[7, 31])/15 - (2*f[7, 32])/15 - (2*f[7, 33])/5 + 
       (2*f[7, 35])/15 + f[7, 36]/15 + f[7, 37]/30 - (4*f[7, 38])/5 + 
       f[7, 39]/15 + f[7, 40]/5 - f[7, 41]/30 - f[7, 42]/30 - f[7, 43]/5 - 
       (2*f[7, 44])/5 - (11*f[7, 45])/15 - f[7, 46]/15 - (7*f[7, 47])/40 - 
       (7*f[7, 48])/15 - (17*f[7, 49])/60 + (11*f[7, 50])/12 - 
       (19*f[7, 51])/60 - (3*f[7, 52])/4 + (21*f[7, 53])/20 - f[7, 54]/3 + 
       (9*f[7, 55])/4 - (553*f[7, 56])/480 + (139*f[7, 57])/192 + 
       (289*f[7, 58])/30 - (647*f[7, 59])/720 - (619*f[7, 60])/1920 - 
       (361*f[7, 61])/192 - (6403*f[7, 62])/1440 - (6403*f[7, 63])/1440 + 
       (6403*f[7, 64])/1440 - (1159*f[7, 65])/320 + (509*f[7, 66])/480 - 
       (5011*f[7, 67])/960 - (373*f[7, 68])/240 - (17*f[7, 69])/80 + 
       (707*f[7, 70])/960 - (45*f[7, 71])/64 + (739*f[7, 72])/240 - 
       (391*f[7, 73])/240 - (431*f[7, 74])/240 - (3863*f[7, 75])/720 + 
       (125*f[7, 76])/128 + (12341*f[7, 77])/1920 - (67*f[7, 78])/32 + 
       (1519*f[7, 79])/360 - (251*f[7, 80])/360 + (1207*f[7, 81])/24 + 
       (27797*f[7, 82])/1440 + (3*f[7, 83])/16 - (1999*f[7, 84])/1440 - 
       (52997*f[7, 85])/5760 - (14609*f[7, 86])/1440 - (9209*f[7, 87])/1440 - 
       (13*f[7, 88])/288 + (1201*f[7, 89])/360 + (20857*f[7, 90])/5760 - 
       (9127*f[7, 91])/288 + (259*f[7, 92])/960 - (61643*f[7, 93])/5760 - 
       (278*f[7, 94])/15 - (307*f[7, 95])/160 - (10327*f[7, 96])/960 + 
       (1757*f[7, 97])/576 + (8017*f[7, 98])/2880 - (481*f[7, 99])/144 + 
       (11095*f[7, 100])/288 + (26141*f[7, 101])/2880 + 
       (29881*f[7, 102])/1440 - (6977*f[7, 103])/1440 + 
       (12293*f[7, 104])/576 - (6359*f[7, 105])/1440 - 
       (18973*f[7, 106])/720 + (7277*f[7, 107])/180 - (1633*f[7, 108])/144 - 
       (6769*f[7, 109])/480 - (5569*f[7, 110])/1920 - (3857*f[7, 111])/360 + 
       (3227*f[7, 112])/480 - (12679*f[7, 113])/1440 - 
       (12731*f[7, 114])/1440 - (117539*f[7, 115])/5760 + 
       (1747*f[7, 116])/288 + (175331*f[7, 117])/1440 - 
       (45427*f[7, 118])/5760 - (128539*f[7, 119])/5760 - (95*f[7, 120])/12 + 
       (1017*f[7, 121])/160 - (8833*f[7, 122])/720 - (19*f[7, 123])/40 + 
       (3359*f[7, 124])/480 + (22481*f[7, 125])/1440 - 
       (1633*f[7, 126])/1440 - f[7, 132]/8 + f[7, 134]/8 - (9*f[7, 135])/16 + 
       (835*f[7, 136])/96 + (175*f[7, 137])/48 + (955*f[7, 138])/384 - 
       f[7, 144]/60 + (5*f[7, 145])/12 + (353*f[7, 146])/240 + 
       (173*f[7, 147])/320 - (23*f[7, 148])/160 + (10747*f[7, 149])/1920 + 
       (683*f[7, 150])/320)*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u] + (f[7, 13]/4 + (9*f[7, 21])/8 + f[7, 26]/10 - 
       f[7, 27]/10 - f[7, 28]/20 - (13*f[7, 30])/16 + (3*f[7, 31])/5 - 
       f[7, 32]/10 - (23*f[7, 33])/10 + f[7, 35]/10 + f[7, 36]/20 + 
       f[7, 37]/40 + (2*f[7, 38])/5 + f[7, 39]/20 + (3*f[7, 40])/20 - 
       f[7, 41]/40 - f[7, 42]/40 - (3*f[7, 43])/20 - (3*f[7, 44])/10 - 
       f[7, 45]/20 - f[7, 46]/20 + (19*f[7, 47])/160 + (11*f[7, 48])/40 - 
       (3*f[7, 49])/20 + (17*f[7, 50])/16 + f[7, 51]/80 - f[7, 52]/16 + 
       (63*f[7, 53])/80 - f[7, 54]/16 - (31*f[7, 55])/32 - 
       (583*f[7, 56])/640 - (135*f[7, 57])/256 - (41*f[7, 58])/40 + 
       (553*f[7, 59])/960 - (2169*f[7, 60])/2560 - (435*f[7, 61])/256 + 
       (977*f[7, 62])/1920 + (977*f[7, 63])/1920 - (977*f[7, 64])/1920 - 
       (18387*f[7, 65])/1280 + (9189*f[7, 66])/640 + (10229*f[7, 67])/1280 + 
       (9477*f[7, 68])/320 + (9269*f[7, 69])/320 - (9613*f[7, 70])/1280 + 
       (1929*f[7, 71])/256 - (9671*f[7, 72])/320 + (9399*f[7, 73])/320 + 
       (9499*f[7, 74])/320 + (31571*f[7, 75])/7680 - (20647*f[7, 76])/512 + 
       (63531*f[7, 77])/2560 - (1737*f[7, 78])/128 + (98989*f[7, 79])/7680 + 
       (39349*f[7, 80])/7680 - (1925*f[7, 81])/128 - (13363*f[7, 82])/120 - 
       (4949*f[7, 83])/64 - (94801*f[7, 84])/7680 + (164639*f[7, 85])/3840 + 
       (760909*f[7, 86])/7680 + (350389*f[7, 87])/7680 - 
       (18421*f[7, 88])/1536 + (2671*f[7, 89])/480 + (1717*f[7, 90])/480 + 
       (4571*f[7, 91])/384 + (103113*f[7, 92])/2560 + (82453*f[7, 93])/1920 + 
       (29701*f[7, 94])/2560 + (165271*f[7, 95])/2560 - 
       (6437*f[7, 96])/1280 - (23557*f[7, 97])/768 - (116633*f[7, 98])/3840 + 
       (42577*f[7, 99])/1536 + (67969*f[7, 100])/384 + 
       (63611*f[7, 101])/3840 + (120739*f[7, 102])/7680 + 
       (2231*f[7, 103])/240 + (241*f[7, 104])/384 + (114889*f[7, 105])/7680 - 
       (47729*f[7, 106])/480 + (40129*f[7, 107])/480 - 
       (18265*f[7, 108])/768 - (18843*f[7, 109])/1280 + 
       (3577*f[7, 110])/320 + (74947*f[7, 111])/1920 - 
       (62271*f[7, 112])/1280 - (12751*f[7, 113])/7680 - 
       (97649*f[7, 114])/7680 + (1291*f[7, 115])/480 - 
       (22649*f[7, 116])/1536 + (1077221*f[7, 117])/1920 + 
       (47719*f[7, 118])/3840 - (533599*f[7, 119])/7680 - 
       (10367*f[7, 120])/256 + (28757*f[7, 121])/1280 - 
       (248317*f[7, 122])/3840 - (30251*f[7, 123])/1280 + 
       (3693*f[7, 124])/80 + (14369*f[7, 125])/480 - (291727*f[7, 126])/
        7680 - f[7, 132]/10 + f[7, 134]/10 - (11*f[7, 135])/80 + 
       (141*f[7, 136])/80 - (13467*f[7, 137])/320 - (22491*f[7, 138])/640 - 
       (3*f[7, 145])/8 - (23*f[7, 146])/4 - (215*f[7, 147])/64 + 
       (511*f[7, 148])/32 + (12561*f[7, 149])/256 + (1061*f[7, 150])/96)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     (-f[7, 30]/12 - f[7, 47]/12 + f[7, 50]/3 - f[7, 52]/6 + f[7, 53]/3 + 
       (17*f[7, 55])/24 + f[7, 56]/48 + (11*f[7, 57])/32 + (4*f[7, 58])/3 - 
       (11*f[7, 59])/72 + (19*f[7, 60])/192 + (5*f[7, 61])/96 - 
       (113*f[7, 62])/288 - (113*f[7, 63])/288 + (113*f[7, 64])/288 + 
       (103*f[7, 65])/96 - (11*f[7, 66])/8 - (73*f[7, 67])/48 - 
       (33*f[7, 68])/8 - (47*f[7, 69])/12 + (11*f[7, 70])/12 - 
       (11*f[7, 71])/12 + (35*f[7, 72])/8 - (31*f[7, 73])/8 - 
       (97*f[7, 74])/24 - (1487*f[7, 75])/1152 + (407*f[7, 76])/64 - 
       (755*f[7, 77])/192 + (23*f[7, 78])/12 - (1339*f[7, 79])/1152 - 
       (775*f[7, 80])/1152 + (893*f[7, 81])/96 + (4141*f[7, 82])/288 + 
       (187*f[7, 83])/48 + (1555*f[7, 84])/1152 - (6991*f[7, 85])/1152 - 
       (17701*f[7, 86])/1152 - (8365*f[7, 87])/1152 + (1763*f[7, 88])/1152 + 
       (7*f[7, 89])/144 + (311*f[7, 90])/1152 - (539*f[7, 91])/144 - 
       (2255*f[7, 92])/384 - (5587*f[7, 93])/1152 - (1703*f[7, 94])/384 - 
       (3521*f[7, 95])/384 - f[7, 96]/3 + (1267*f[7, 97])/288 + 
       (1267*f[7, 98])/288 - (4841*f[7, 99])/1152 - (3241*f[7, 100])/144 - 
       (673*f[7, 101])/288 + (1517*f[7, 102])/1152 - (281*f[7, 103])/144 + 
       (1841*f[7, 104])/576 - (2395*f[7, 105])/1152 + (1459*f[7, 106])/144 - 
       (125*f[7, 107])/9 + (1193*f[7, 108])/576 - (131*f[7, 109])/192 - 
       (193*f[7, 110])/384 - (1687*f[7, 111])/288 + (175*f[7, 112])/24 - 
       (503*f[7, 113])/1152 + (923*f[7, 114])/1152 - (3817*f[7, 115])/1152 + 
       (3955*f[7, 116])/1152 - (9727*f[7, 117])/144 - (3587*f[7, 118])/1152 + 
       (71*f[7, 119])/9 + (931*f[7, 120])/192 - (137*f[7, 121])/64 + 
       (4165*f[7, 122])/576 + (197*f[7, 123])/64 - (167*f[7, 124])/32 - 
       (337*f[7, 125])/144 + (6445*f[7, 126])/1152 + (2*f[7, 136])/3 + 
       (107*f[7, 137])/24 + (797*f[7, 138])/192 + f[7, 145]/3 + 
       (4*f[7, 146])/3 + (19*f[7, 147])/16 - (353*f[7, 148])/96 - 
       (937*f[7, 149])/96 - (293*f[7, 150])/144)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u] + 
     (f[7, 13]/12 + f[7, 21]/12 + f[7, 26]/60 - f[7, 27]/60 - f[7, 28]/120 + 
       f[7, 30]/32 + f[7, 31]/60 - f[7, 32]/60 - f[7, 33]/20 + f[7, 35]/10 + 
       f[7, 36]/120 + f[7, 37]/240 + f[7, 38]/15 + f[7, 39]/120 + 
       (13*f[7, 40])/120 - f[7, 41]/240 - f[7, 42]/240 - f[7, 43]/40 - 
       f[7, 44]/20 - (7*f[7, 45])/40 - (7*f[7, 46])/40 + f[7, 47]/240 - 
       (7*f[7, 48])/120 - (9*f[7, 49])/160 + (25*f[7, 50])/96 - 
       (3*f[7, 51])/160 - f[7, 52]/4 + (193*f[7, 53])/480 - 
       (13*f[7, 55])/96 - (809*f[7, 56])/1920 - (341*f[7, 57])/768 + 
       (289*f[7, 58])/240 + (211*f[7, 59])/720 - (3227*f[7, 60])/7680 - 
       (937*f[7, 61])/768 - (3713*f[7, 62])/11520 - (3713*f[7, 63])/11520 + 
       (3713*f[7, 64])/11520 - (6041*f[7, 65])/3840 + (529*f[7, 66])/640 - 
       (733*f[7, 67])/3840 + (1351*f[7, 68])/960 + (1267*f[7, 69])/960 - 
       (73*f[7, 70])/1280 + (47*f[7, 71])/768 - (539*f[7, 72])/480 + 
       (177*f[7, 73])/160 + (101*f[7, 74])/80 - (4927*f[7, 75])/23040 - 
       (2251*f[7, 76])/1536 - (367*f[7, 77])/7680 - (73*f[7, 78])/128 + 
       (46807*f[7, 79])/23040 + (23227*f[7, 80])/23040 + 
       (1369*f[7, 81])/128 - (19817*f[7, 82])/2880 - (731*f[7, 83])/64 - 
       (20323*f[7, 84])/23040 + (20717*f[7, 85])/11520 + 
       (85087*f[7, 86])/23040 + (40267*f[7, 87])/23040 - 
       (2527*f[7, 88])/4608 + (8549*f[7, 89])/11520 + (4429*f[7, 90])/5760 - 
       (4645*f[7, 91])/1152 + (23989*f[7, 92])/7680 + (18979*f[7, 93])/5760 - 
       (19747*f[7, 94])/7680 + (17693*f[7, 95])/7680 - (311*f[7, 96])/3840 - 
       (5563*f[7, 97])/2304 - (26759*f[7, 98])/11520 + (3001*f[7, 99])/4608 + 
       (2365*f[7, 100])/1152 - (5407*f[7, 101])/11520 + 
       (104527*f[7, 102])/23040 + (7073*f[7, 103])/11520 + 
       (5119*f[7, 104])/1152 + (43087*f[7, 105])/23040 - (481*f[7, 106])/45 - 
       (2941*f[7, 107])/2880 - (839*f[7, 108])/288 - (169*f[7, 109])/40 + 
       (7609*f[7, 110])/3840 + (14207*f[7, 111])/11520 - 
       (439*f[7, 112])/320 + (5717*f[7, 113])/23040 - 
       (58007*f[7, 114])/23040 - (649*f[7, 115])/180 + 
       (1549*f[7, 116])/4608 + (159593*f[7, 117])/5760 - 
       (3053*f[7, 118])/11520 - (67027*f[7, 119])/23040 - 
       (313*f[7, 120])/96 + (333*f[7, 121])/320 - (21923*f[7, 122])/5760 - 
       (1549*f[7, 123])/1920 + (1209*f[7, 124])/640 + 
       (18121*f[7, 125])/11520 - (33691*f[7, 126])/23040 - 
       (25*f[7, 136])/48 - (309*f[7, 137])/64 - (1007*f[7, 138])/384 - 
       f[7, 144]/30 + f[7, 145]/3 + (781*f[7, 146])/240 + 
       (4201*f[7, 147])/1920 - (103*f[7, 148])/80 - (13841*f[7, 149])/1920 + 
       (7009*f[7, 150])/1280)*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u] + 
     (-f[7, 22]/4 - f[7, 47]/4 + f[7, 50] - f[7, 52]/2 + f[7, 53] + 
       2*f[7, 55] - (9*f[7, 56])/16 + (63*f[7, 57])/32 + 27*f[7, 58] + 
       (23*f[7, 59])/24 + (45*f[7, 60])/64 - (5*f[7, 61])/32 - 
       (325*f[7, 62])/24 - (325*f[7, 63])/24 + (325*f[7, 64])/24 - 
       (437*f[7, 65])/32 + (193*f[7, 66])/16 - (255*f[7, 67])/32 + 
       (163*f[7, 68])/8 + (169*f[7, 69])/8 - (145*f[7, 70])/32 + 
       (129*f[7, 71])/32 - (155*f[7, 72])/8 + (167*f[7, 73])/8 + 
       (163*f[7, 74])/8 - (1273*f[7, 75])/96 - (1473*f[7, 76])/64 + 
       (1925*f[7, 77])/64 - (169*f[7, 78])/16 + (1387*f[7, 79])/96 - 
       (605*f[7, 80])/96 + (719*f[7, 81])/8 - (1493*f[7, 82])/48 - 
       (229*f[7, 83])/8 - (961*f[7, 84])/96 + (1493*f[7, 85])/192 + 
       (3499*f[7, 86])/96 + (1039*f[7, 87])/96 - (869*f[7, 88])/96 + 
       (845*f[7, 89])/48 + (1127*f[7, 90])/192 - (6583*f[7, 91])/48 + 
       (209*f[7, 92])/8 + (23*f[7, 93])/192 - (1635*f[7, 94])/32 + 
       (1211*f[7, 95])/32 - (1171*f[7, 96])/32 + (329*f[7, 97])/96 + 
       (329*f[7, 98])/96 + (1091*f[7, 99])/96 + (12535*f[7, 100])/48 + 
       (3277*f[7, 101])/96 + (7039*f[7, 102])/96 - (181*f[7, 103])/12 + 
       (5855*f[7, 104])/96 - (1703*f[7, 105])/96 - (2771*f[7, 106])/24 + 
       (1937*f[7, 107])/12 - (1231*f[7, 108])/24 - (787*f[7, 109])/16 - 
       (359*f[7, 110])/64 - (313*f[7, 111])/48 - (43*f[7, 112])/4 - 
       (3961*f[7, 113])/96 - (2957*f[7, 114])/96 - (9541*f[7, 115])/192 + 
       (1523*f[7, 116])/96 + (34855*f[7, 117])/48 - (4985*f[7, 118])/192 - 
       (21203*f[7, 119])/192 - (79*f[7, 120])/2 + (641*f[7, 121])/16 - 
       (949*f[7, 122])/12 - (169*f[7, 123])/8 + (979*f[7, 124])/16 + 
       (949*f[7, 125])/12 - (2209*f[7, 126])/96 + f[7, 129]/2 + f[7, 134]/4 + 
       f[7, 135]/8 + f[7, 136]/4 + (795*f[7, 137])/16 + (3163*f[7, 138])/64 + 
       f[7, 145] + (213*f[7, 146])/4 + (175*f[7, 147])/8 + 
       (3569*f[7, 148])/32 + (14923*f[7, 149])/64 + (6603*f[7, 150])/32)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     (f[7, 22]/8 + f[7, 47]/8 - f[7, 50]/2 + f[7, 52]/4 - f[7, 53]/2 - 
       f[7, 55] + (15*f[7, 56])/32 - (41*f[7, 57])/64 - 4*f[7, 58] - 
       (29*f[7, 59])/48 - (11*f[7, 60])/128 + (51*f[7, 61])/64 + 
       (179*f[7, 62])/96 + (179*f[7, 63])/96 - (179*f[7, 64])/96 + 
       (51*f[7, 65])/64 + (9*f[7, 66])/32 + (153*f[7, 67])/64 + 
       (37*f[7, 68])/16 + (33*f[7, 69])/16 - (49*f[7, 70])/64 + 
       (65*f[7, 71])/64 - (45*f[7, 72])/16 + (33*f[7, 73])/16 + 
       (37*f[7, 74])/16 + (331*f[7, 75])/192 - (565*f[7, 76])/128 + 
       (45*f[7, 77])/128 - (29*f[7, 78])/32 - (145*f[7, 79])/192 + 
       (59*f[7, 80])/192 - (341*f[7, 81])/16 - (1321*f[7, 82])/96 - 
       (17*f[7, 83])/16 - (149*f[7, 84])/192 + (2293*f[7, 85])/384 + 
       (2687*f[7, 86])/192 + (1451*f[7, 87])/192 - (265*f[7, 88])/192 - 
       (53*f[7, 89])/24 - (617*f[7, 90])/384 + (1093*f[7, 91])/96 + 
       (119*f[7, 92])/32 + (2455*f[7, 93])/384 + (515*f[7, 94])/64 + 
       (495*f[7, 95])/64 + (289*f[7, 96])/64 - (719*f[7, 97])/192 - 
       (719*f[7, 98])/192 + (733*f[7, 99])/192 - (229*f[7, 100])/96 - 
       (235*f[7, 101])/192 - (1339*f[7, 102])/192 + (289*f[7, 103])/96 - 
       (1601*f[7, 104])/192 + (689*f[7, 105])/192 - (13*f[7, 106])/48 - 
       (23*f[7, 107])/6 + (317*f[7, 108])/96 + (129*f[7, 109])/16 + 
       (229*f[7, 110])/128 + (163*f[7, 111])/24 - (275*f[7, 112])/32 + 
       (397*f[7, 113])/192 + (611*f[7, 114])/192 + (3523*f[7, 115])/384 - 
       (1349*f[7, 116])/192 - (253*f[7, 117])/96 + (1775*f[7, 118])/384 + 
       (1073*f[7, 119])/384 - (5*f[7, 120])/32 - f[7, 121]/16 - 
       (407*f[7, 122])/96 - (51*f[7, 123])/32 + (49*f[7, 124])/32 - 
       (223*f[7, 125])/96 - (1295*f[7, 126])/192 - f[7, 132]/8 - 
       f[7, 134]/2 + f[7, 135]/8 - 7*f[7, 136] + (301*f[7, 137])/8 + 
       (1109*f[7, 138])/32 - f[7, 145]/2 + (27*f[7, 146])/4 + 
       (5*f[7, 147])/16 + (1631*f[7, 148])/32 + 112*f[7, 149] + 
       (3263*f[7, 150])/48)*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2 + 
     (-f[7, 31]/2 + f[7, 33] - (5*f[7, 62])/32 - (5*f[7, 63])/32 + 
       (5*f[7, 64])/32 - (5*f[7, 81])/8 + (5*f[7, 89])/32 - (5*f[7, 91])/8 - 
       (5*f[7, 96])/16 + (5*f[7, 97])/16 + (5*f[7, 98])/16 + 
       (5*f[7, 99])/32 + (5*f[7, 100])/4 + (5*f[7, 101])/32 + 
       (5*f[7, 102])/32 - (5*f[7, 103])/16 + (5*f[7, 104])/32 - 
       (5*f[7, 105])/16 - (5*f[7, 106])/8 + (5*f[7, 107])/8 - 
       (15*f[7, 108])/32 - (15*f[7, 109])/32 - (5*f[7, 110])/32 - 
       (5*f[7, 111])/32 + (5*f[7, 112])/32 - (5*f[7, 113])/32 - 
       (5*f[7, 114])/16 - (5*f[7, 115])/16 + (5*f[7, 116])/16 + 
       (25*f[7, 117])/8 - (15*f[7, 118])/32 - (5*f[7, 119])/8 - 
       (5*f[7, 120])/32 + (5*f[7, 121])/32 - (5*f[7, 122])/32 - 
       (5*f[7, 123])/32 + (5*f[7, 124])/16 + (15*f[7, 125])/32 + 
       (5*f[7, 126])/32 + (5*f[7, 150])/8)*HPL[{1}, 1 - u]^4*
      HPL[{0, 1}, 1 - v] + (-f[7, 32] + f[7, 41]/2 + f[7, 42]/2 - 
       2*f[7, 43] - 2*f[7, 44] + f[7, 47]/2 - (3*f[7, 49])/2 + f[7, 50] - 
       (5*f[7, 51])/8 - (5*f[7, 54])/4 - (17*f[7, 56])/8 + (71*f[7, 57])/16 + 
       21*f[7, 58] - (29*f[7, 59])/3 - (63*f[7, 60])/32 + (95*f[7, 61])/16 - 
       (365*f[7, 62])/48 - (365*f[7, 63])/48 + (365*f[7, 64])/48 - 
       (237*f[7, 65])/16 + (153*f[7, 66])/8 - (15*f[7, 67])/16 + 
       (153*f[7, 68])/4 + (153*f[7, 69])/4 - (153*f[7, 70])/16 + 
       (153*f[7, 71])/16 - (159*f[7, 72])/4 + (153*f[7, 73])/4 + 
       (77*f[7, 74])/2 - (509*f[7, 75])/48 - (1589*f[7, 76])/32 + 
       (1293*f[7, 77])/32 - (153*f[7, 78])/8 + (965*f[7, 79])/48 - 
       (235*f[7, 80])/48 + (209*f[7, 81])/4 - (2773*f[7, 82])/24 - 
       (269*f[7, 83])/4 - (869*f[7, 84])/48 + (3853*f[7, 85])/96 + 
       (5363*f[7, 86])/48 + (2309*f[7, 87])/48 - (883*f[7, 88])/48 + 
       (647*f[7, 89])/48 + (403*f[7, 90])/96 - (2957*f[7, 91])/24 + 
       (227*f[7, 92])/4 + (3187*f[7, 93])/96 - (511*f[7, 94])/16 + 
       (1377*f[7, 95])/16 - (429*f[7, 96])/16 - (1061*f[7, 97])/48 - 
       (1061*f[7, 98])/48 + (689*f[7, 99])/24 + (7799*f[7, 100])/24 + 
       (443*f[7, 101])/12 + (1675*f[7, 102])/24 - (31*f[7, 103])/12 + 
       (1169*f[7, 104])/24 - (13*f[7, 105])/48 - (502*f[7, 106])/3 + 
       (2231*f[7, 107])/12 - (2441*f[7, 108])/48 - (507*f[7, 109])/16 + 
       (291*f[7, 110])/32 + (1193*f[7, 111])/48 - (883*f[7, 112])/16 - 
       (1003*f[7, 113])/24 - (1213*f[7, 114])/48 - (2621*f[7, 115])/96 - 
       (557*f[7, 116])/48 + (23087*f[7, 117])/24 - (1411*f[7, 118])/96 - 
       (12475*f[7, 119])/96 - (787*f[7, 120])/16 + (837*f[7, 121])/16 - 
       (5953*f[7, 122])/48 - (577*f[7, 123])/16 + 88*f[7, 124] + 
       (4297*f[7, 125])/48 - (731*f[7, 126])/12 - f[7, 135]/4 - 
       (17*f[7, 136])/8 + (151*f[7, 137])/8 + (589*f[7, 138])/32 + 
       (87*f[7, 146])/2 + (113*f[7, 147])/8 + (1961*f[7, 148])/16 + 
       (7959*f[7, 149])/32 + (9269*f[7, 150])/48)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (-f[7, 26]/5 + f[7, 27]/5 + f[7, 28]/10 - f[7, 31]/5 + f[7, 32]/5 + 
       (3*f[7, 33])/5 - f[7, 35]/5 - (7*f[7, 36])/20 + f[7, 37]/80 - 
       (4*f[7, 38])/5 - f[7, 39]/10 - (3*f[7, 40])/10 + f[7, 41]/20 + 
       f[7, 42]/20 + (3*f[7, 43])/10 + (3*f[7, 44])/5 - (3*f[7, 45])/20 - 
       (3*f[7, 46])/20 - f[7, 47]/20 - f[7, 48]/20 + (83*f[7, 49])/160 + 
       f[7, 50]/8 + f[7, 51]/160 - (11*f[7, 53])/80 - f[7, 54]/16 + 
       (11*f[7, 55])/8 + (143*f[7, 56])/320 - f[7, 57]/128 - 
       (51*f[7, 58])/80 + (483*f[7, 59])/320 + (1169*f[7, 60])/1280 + 
       (107*f[7, 61])/128 - (921*f[7, 62])/1280 - (921*f[7, 63])/1280 + 
       (921*f[7, 64])/1280 + (3487*f[7, 65])/640 - (1439*f[7, 66])/320 - 
       (1479*f[7, 67])/640 - (1487*f[7, 68])/160 - (1459*f[7, 69])/160 + 
       (1423*f[7, 70])/640 - (275*f[7, 71])/128 + (1561*f[7, 72])/160 - 
       (687*f[7, 73])/80 - (1469*f[7, 74])/160 - (13*f[7, 75])/320 + 
       (2925*f[7, 76])/256 - (5551*f[7, 77])/1280 + (263*f[7, 78])/64 - 
       (3259*f[7, 79])/640 - (1339*f[7, 80])/640 - (669*f[7, 81])/64 + 
       (11781*f[7, 82])/320 + (539*f[7, 83])/16 + (3041*f[7, 84])/640 - 
       (16651*f[7, 85])/1280 - (4721*f[7, 86])/160 - (1133*f[7, 87])/80 + 
       (577*f[7, 88])/128 - (2267*f[7, 89])/1280 - (3359*f[7, 90])/1280 - 
       (85*f[7, 91])/32 - (4187*f[7, 92])/320 - (19749*f[7, 93])/1280 - 
       (1033*f[7, 94])/640 - (12753*f[7, 95])/640 + (43*f[7, 96])/160 + 
       (825*f[7, 97])/64 + (4173*f[7, 98])/320 - (2223*f[7, 99])/256 - 
       (2439*f[7, 100])/64 - (2439*f[7, 101])/1280 - (11263*f[7, 102])/1280 - 
       (1041*f[7, 103])/320 - (1159*f[7, 104])/256 - (2337*f[7, 105])/320 + 
       (6171*f[7, 106])/160 - (5347*f[7, 107])/320 + (1793*f[7, 108])/256 + 
       (7161*f[7, 109])/1280 - (3423*f[7, 110])/640 - 
       (15661*f[7, 111])/1280 + (21147*f[7, 112])/1280 + 
       (97*f[7, 113])/1280 + (601*f[7, 114])/160 + (2603*f[7, 115])/1280 + 
       (373*f[7, 116])/64 - (24991*f[7, 117])/160 - (1269*f[7, 118])/320 + 
       (23093*f[7, 119])/1280 + (3465*f[7, 120])/256 - 
       (10539*f[7, 121])/1280 + (32143*f[7, 122])/1280 + 
       (9767*f[7, 123])/1280 - (10273*f[7, 124])/640 - 
       (14253*f[7, 125])/1280 + (18539*f[7, 126])/1280 - f[7, 129]/4 + 
       f[7, 132]/5 - f[7, 134]/5 + f[7, 135]/40 - (321*f[7, 136])/40 + 
       (1379*f[7, 137])/20 + (19291*f[7, 138])/320 - f[7, 140] + f[7, 145] + 
       (59*f[7, 146])/4 + (37*f[7, 147])/8 + (3611*f[7, 148])/64 + 
       (2221*f[7, 149])/16 + (8009*f[7, 150])/96)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     ((-3*f[7, 26])/10 - (7*f[7, 27])/10 + (3*f[7, 28])/20 + f[7, 30]/4 - 
       (3*f[7, 31])/10 + (3*f[7, 32])/10 + (9*f[7, 33])/10 - 
       (3*f[7, 35])/10 - (3*f[7, 36])/20 + f[7, 37]/20 - (6*f[7, 38])/5 - 
       (13*f[7, 39])/20 - (9*f[7, 40])/20 - (7*f[7, 41])/40 - 
       (7*f[7, 42])/40 + (19*f[7, 43])/20 + (29*f[7, 44])/10 - 
       (17*f[7, 45])/20 + (3*f[7, 46])/20 - (41*f[7, 47])/80 - f[7, 48]/5 + 
       (151*f[7, 49])/80 + (7*f[7, 50])/16 + (27*f[7, 51])/80 + 
       (3*f[7, 52])/8 + (11*f[7, 53])/80 + (3*f[7, 54])/4 + 
       (59*f[7, 55])/16 + (107*f[7, 56])/320 + (459*f[7, 57])/128 + 
       (453*f[7, 58])/40 + (23*f[7, 59])/80 + (1701*f[7, 60])/1280 + 
       (87*f[7, 61])/128 - (2441*f[7, 62])/320 - (2441*f[7, 63])/320 + 
       (2441*f[7, 64])/320 + (6103*f[7, 65])/640 - (2541*f[7, 66])/320 - 
       (6861*f[7, 67])/640 - (2503*f[7, 68])/160 - (2461*f[7, 69])/160 + 
       (1557*f[7, 70])/640 - (321*f[7, 71])/128 + (1467*f[7, 72])/80 - 
       (1173*f[7, 73])/80 - (659*f[7, 74])/40 - (10683*f[7, 75])/1280 + 
       (6245*f[7, 76])/256 - (9199*f[7, 77])/1280 + (397*f[7, 78])/64 - 
       (11317*f[7, 79])/1280 - (13737*f[7, 80])/1280 + (1541*f[7, 81])/64 + 
       (6231*f[7, 82])/80 + (1701*f[7, 83])/32 + (7953*f[7, 84])/1280 - 
       (9841*f[7, 85])/320 - (84397*f[7, 86])/1280 - (43617*f[7, 87])/1280 + 
       (1845*f[7, 88])/256 + (433*f[7, 89])/320 - (1903*f[7, 90])/640 - 
       (4221*f[7, 91])/64 - (37077*f[7, 92])/1280 - (20193*f[7, 93])/640 - 
       (42909*f[7, 94])/1280 - (45229*f[7, 95])/1280 - (7797*f[7, 96])/640 + 
       (3965*f[7, 97])/128 + (19409*f[7, 98])/640 - (4161*f[7, 99])/256 - 
       (1537*f[7, 100])/64 + (179*f[7, 101])/80 + (22313*f[7, 102])/1280 - 
       (10213*f[7, 103])/640 + (2731*f[7, 104])/128 - 
       (32217*f[7, 105])/1280 + (7809*f[7, 106])/160 - (49*f[7, 107])/10 + 
       (229*f[7, 108])/128 + (177*f[7, 109])/640 - (8697*f[7, 110])/640 - 
       (11081*f[7, 111])/320 + (22369*f[7, 112])/640 - 
       (29337*f[7, 113])/1280 + (137*f[7, 114])/1280 - 
       (10349*f[7, 115])/640 + (4605*f[7, 116])/256 - (55303*f[7, 117])/320 - 
       (14897*f[7, 118])/640 + (14487*f[7, 119])/1280 + 
       (2723*f[7, 120])/128 - (323*f[7, 121])/640 + (13561*f[7, 122])/640 + 
       (8389*f[7, 123])/640 - (1069*f[7, 124])/80 + (783*f[7, 125])/80 + 
       (27051*f[7, 126])/1280 - f[7, 129] + (7*f[7, 132])/20 - 
       (7*f[7, 134])/20 + (13*f[7, 135])/40 - (29*f[7, 136])/20 + 
       (591*f[7, 137])/10 + (15333*f[7, 138])/320 - f[7, 144]/10 + 
       (1103*f[7, 146])/40 + (1689*f[7, 147])/160 + (859*f[7, 148])/20 + 
       (12321*f[7, 149])/160 + (10993*f[7, 150])/120)*HPL[{0, 1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v] + ((3*f[7, 56])/8 - (41*f[7, 57])/64 + 
       (19*f[7, 58])/16 + (3*f[7, 59])/32 + (25*f[7, 60])/128 + 
       (59*f[7, 61])/64 - (91*f[7, 62])/256 - (91*f[7, 63])/256 + 
       (91*f[7, 64])/256 + (99*f[7, 65])/64 - (43*f[7, 66])/32 - 
       (81*f[7, 67])/64 - (43*f[7, 68])/16 - (43*f[7, 69])/16 + 
       (43*f[7, 70])/64 - (43*f[7, 71])/64 + (43*f[7, 72])/16 - 
       (43*f[7, 73])/16 - (43*f[7, 74])/16 - (89*f[7, 75])/64 + 
       (547*f[7, 76])/128 - (331*f[7, 77])/128 + (43*f[7, 78])/32 - 
       (39*f[7, 79])/32 - (155*f[7, 80])/128 + (127*f[7, 81])/32 + 
       11*f[7, 82] + (237*f[7, 83])/32 + (5*f[7, 84])/4 - 
       (581*f[7, 85])/128 - (329*f[7, 86])/32 - (165*f[7, 87])/32 + 
       (23*f[7, 88])/32 - (45*f[7, 89])/256 - (69*f[7, 90])/128 - 
       (577*f[7, 91])/64 - (499*f[7, 92])/128 - (551*f[7, 93])/128 - 
       (61*f[7, 94])/16 - (377*f[7, 95])/64 - (69*f[7, 96])/128 + 
       (569*f[7, 97])/128 + (569*f[7, 98])/128 - (741*f[7, 99])/256 - 
       (109*f[7, 100])/8 - (337*f[7, 101])/256 + (391*f[7, 102])/256 - 
       (239*f[7, 103])/128 + (671*f[7, 104])/256 - (379*f[7, 105])/128 + 
       (547*f[7, 106])/64 - (509*f[7, 107])/64 + (263*f[7, 108])/256 + 
       (151*f[7, 109])/256 - (333*f[7, 110])/256 - (1227*f[7, 111])/256 + 
       (1287*f[7, 112])/256 - (531*f[7, 113])/256 + (127*f[7, 114])/128 - 
       (73*f[7, 115])/64 + (253*f[7, 116])/128 - (3071*f[7, 117])/64 - 
       (727*f[7, 118])/256 + (709*f[7, 119])/128 + (1053*f[7, 120])/256 - 
       (185*f[7, 121])/256 + (973*f[7, 122])/256 + (401*f[7, 123])/256 - 
       (293*f[7, 124])/128 + (145*f[7, 125])/256 + (763*f[7, 126])/256 + 
       (11*f[7, 136])/32 + (59*f[7, 137])/16 + (341*f[7, 138])/128 + 
       (27*f[7, 146])/16 + (39*f[7, 147])/32 - (5*f[7, 148])/8 - 
       (303*f[7, 149])/64 + (685*f[7, 150])/384)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]^2 + ((2*f[7, 26])/5 + (3*f[7, 27])/5 - f[7, 28]/5 + 
       f[7, 29]/4 - f[7, 30]/4 + (2*f[7, 31])/5 + f[7, 32]/10 - 
       (6*f[7, 33])/5 - f[7, 34]/2 + (2*f[7, 35])/5 - (3*f[7, 36])/10 - 
       f[7, 37]/40 + (8*f[7, 38])/5 + (6*f[7, 39])/5 + (3*f[7, 40])/5 - 
       (9*f[7, 41])/40 - (9*f[7, 42])/40 - f[7, 43]/10 - (6*f[7, 44])/5 + 
       (4*f[7, 45])/5 - f[7, 46]/5 + (19*f[7, 47])/40 + (93*f[7, 48])/80 - 
       (103*f[7, 49])/80 - 2*f[7, 50] + (49*f[7, 51])/80 - (7*f[7, 52])/2 - 
       (29*f[7, 53])/40 + f[7, 54]/4 - (23*f[7, 55])/4 - (781*f[7, 56])/320 - 
       (1017*f[7, 57])/128 - (57*f[7, 58])/20 + (3311*f[7, 59])/480 - 
       (4183*f[7, 60])/1280 - (1149*f[7, 61])/128 + (353*f[7, 62])/120 + 
       (353*f[7, 63])/120 - (353*f[7, 64])/120 - (19729*f[7, 65])/640 + 
       (9453*f[7, 66])/320 + (11453*f[7, 67])/640 + (9849*f[7, 68])/160 + 
       (9813*f[7, 69])/160 - (8261*f[7, 70])/640 + (1697*f[7, 71])/128 - 
       (10277*f[7, 72])/160 + (9723*f[7, 73])/160 + (9913*f[7, 74])/160 + 
       (11383*f[7, 75])/960 - (23473*f[7, 76])/256 + (58337*f[7, 77])/1280 - 
       (1789*f[7, 78])/64 + (31847*f[7, 79])/960 + (3953*f[7, 80])/240 - 
       (225*f[7, 81])/16 - (231311*f[7, 82])/960 - (5455*f[7, 83])/32 - 
       (12529*f[7, 84])/480 + (346451*f[7, 85])/3840 + 
       (107311*f[7, 86])/480 + (52291*f[7, 87])/480 - (1265*f[7, 88])/48 + 
       (11603*f[7, 89])/960 + (19889*f[7, 90])/3840 + (193*f[7, 91])/192 + 
       (62873*f[7, 92])/640 + (353129*f[7, 93])/3840 + (3379*f[7, 94])/160 + 
       (21719*f[7, 95])/160 - (1299*f[7, 96])/640 - (27503*f[7, 97])/384 - 
       (137131*f[7, 98])/1920 + (1441*f[7, 99])/24 + (65291*f[7, 100])/192 + 
       (54787*f[7, 101])/1920 + (35087*f[7, 102])/960 + 
       (20141*f[7, 103])/960 + (3727*f[7, 104])/384 + (21361*f[7, 105])/480 - 
       (114521*f[7, 106])/480 + (39833*f[7, 107])/240 - 
       (11131*f[7, 108])/192 - (6339*f[7, 109])/160 + 
       (41807*f[7, 110])/1280 + (79949*f[7, 111])/960 - (1043*f[7, 112])/10 + 
       (1213*f[7, 113])/240 - (1061*f[7, 114])/30 - (4423*f[7, 115])/3840 - 
       (821*f[7, 116])/24 + (1120507*f[7, 117])/960 + 
       (102061*f[7, 118])/3840 - (548783*f[7, 119])/3840 - 
       (6055*f[7, 120])/64 + (411*f[7, 121])/10 - (130657*f[7, 122])/960 - 
       (16071*f[7, 123])/320 + (28923*f[7, 124])/320 + 
       (13123*f[7, 125])/240 - (80021*f[7, 126])/960 - (2*f[7, 132])/5 - 
       (3*f[7, 133])/8 + (2*f[7, 134])/5 + f[7, 135]/80 + (47*f[7, 136])/40 - 
       (13019*f[7, 137])/160 - (44239*f[7, 138])/640 - f[7, 140] - 
       f[7, 144] - (3*f[7, 145])/4 - (29*f[7, 146])/4 - (139*f[7, 147])/32 + 
       34*f[7, 148] + (13451*f[7, 149])/128 + (615*f[7, 150])/32)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + 
     (-f[7, 5]/6 + f[7, 18]/6 - (2*f[7, 26])/15 + (2*f[7, 27])/15 + 
       f[7, 28]/15 - f[7, 29]/12 - (2*f[7, 31])/15 + (2*f[7, 32])/15 + 
       (2*f[7, 33])/5 - f[7, 34]/12 - (2*f[7, 35])/15 - f[7, 36]/15 + 
       f[7, 37]/120 - (8*f[7, 38])/15 - f[7, 39]/15 - f[7, 40]/5 + 
       f[7, 41]/30 + f[7, 42]/30 + f[7, 43]/5 + (17*f[7, 44])/30 - 
       f[7, 45]/10 + f[7, 46]/15 + (11*f[7, 47])/120 + f[7, 48]/120 + 
       (73*f[7, 49])/240 - (7*f[7, 50])/12 - (3*f[7, 51])/80 + f[7, 52]/6 - 
       (27*f[7, 53])/40 - f[7, 54]/12 - f[7, 55]/6 + (691*f[7, 56])/960 - 
       (293*f[7, 57])/384 - (781*f[7, 58])/120 + (251*f[7, 59])/360 + 
       (3173*f[7, 60])/3840 + (535*f[7, 61])/384 + (481*f[7, 62])/180 + 
       (481*f[7, 63])/180 - (481*f[7, 64])/180 + (18659*f[7, 65])/1920 - 
       (8783*f[7, 66])/960 - (2143*f[7, 67])/1920 - (7859*f[7, 68])/480 - 
       (7943*f[7, 69])/480 + (2357*f[7, 70])/640 - (1427*f[7, 71])/384 + 
       (7727*f[7, 72])/480 - (7733*f[7, 73])/480 - (7783*f[7, 74])/480 + 
       (6367*f[7, 75])/2880 + (16387*f[7, 76])/768 - (56947*f[7, 77])/3840 + 
       (489*f[7, 78])/64 - (14741*f[7, 79])/1440 - (1033*f[7, 80])/720 - 
       (2545*f[7, 81])/96 + (159241*f[7, 82])/2880 + (4345*f[7, 83])/96 + 
       (23923*f[7, 84])/2880 - (220801*f[7, 85])/11520 - 
       (69821*f[7, 86])/1440 - (31031*f[7, 87])/1440 + (4273*f[7, 88])/576 - 
       (17833*f[7, 89])/2880 - (54679*f[7, 90])/11520 + 
       (16261*f[7, 91])/576 - (47513*f[7, 92])/1920 - 
       (221179*f[7, 93])/11520 + (2749*f[7, 94])/320 - (11231*f[7, 95])/320 + 
       (18349*f[7, 96])/1920 + (16093*f[7, 97])/1152 + 
       (80081*f[7, 98])/5760 - (977*f[7, 99])/72 - (69217*f[7, 100])/576 - 
       (71537*f[7, 101])/5760 - (1138*f[7, 102])/45 - (2911*f[7, 103])/2880 - 
       (20687*f[7, 104])/1152 - (12727*f[7, 105])/2880 + 
       (13547*f[7, 106])/180 - (47743*f[7, 107])/720 + 
       (12617*f[7, 108])/576 + (4507*f[7, 109])/240 - 
       (23437*f[7, 110])/3840 - (41029*f[7, 111])/2880 + 
       (7527*f[7, 112])/320 + (6427*f[7, 113])/720 + (37067*f[7, 114])/2880 + 
       (161273*f[7, 115])/11520 + (1955*f[7, 116])/576 - 
       (1118777*f[7, 117])/2880 + (9529*f[7, 118])/11520 + 
       (596533*f[7, 119])/11520 + (877*f[7, 120])/32 - (3067*f[7, 121])/160 + 
       (139277*f[7, 122])/2880 + (4867*f[7, 123])/320 - 
       (11001*f[7, 124])/320 - (45001*f[7, 125])/1440 + 
       (33263*f[7, 126])/1440 + (2*f[7, 132])/15 - f[7, 133]/12 - 
       (2*f[7, 134])/15 + (17*f[7, 135])/120 - (637*f[7, 136])/120 + 
       (8147*f[7, 137])/240 + (9499*f[7, 138])/320 - f[7, 145]/6 - 
       3*f[7, 146] - (61*f[7, 147])/48 + (241*f[7, 148])/96 + 
       (371*f[7, 149])/48 - (1241*f[7, 150])/288)*HPL[{0, 1}, 1 - v]^3 + 
     (-f[7, 35] - 4*f[7, 38] - 3*f[7, 40] - f[7, 45] + f[7, 46] + 
       f[7, 47]/4 - (5*f[7, 48])/4 + (3*f[7, 49])/4 - f[7, 50] - 
       (11*f[7, 51])/8 + 3*f[7, 52] - (3*f[7, 53])/2 - (17*f[7, 54])/8 + 
       5*f[7, 55] + (85*f[7, 56])/32 + (267*f[7, 57])/64 - f[7, 58]/4 - 
       (275*f[7, 59])/48 + (657*f[7, 60])/128 + (799*f[7, 61])/64 - 
       (1007*f[7, 62])/192 - (1007*f[7, 63])/192 + (1007*f[7, 64])/192 - 
       (17*f[7, 65])/64 + (241*f[7, 66])/32 + (97*f[7, 67])/64 + 
       (293*f[7, 68])/16 + (305*f[7, 69])/16 - (529*f[7, 70])/64 + 
       (529*f[7, 71])/64 - (309*f[7, 72])/16 + (333*f[7, 73])/16 + 
       (309*f[7, 74])/16 - (743*f[7, 75])/192 - (3641*f[7, 76])/128 + 
       (5385*f[7, 77])/128 - (417*f[7, 78])/32 - (685*f[7, 79])/192 - 
       (2047*f[7, 80])/192 - (1181*f[7, 81])/16 - (1861*f[7, 82])/96 + 
       (711*f[7, 83])/16 - (1025*f[7, 84])/192 + (6301*f[7, 85])/384 + 
       (11033*f[7, 86])/192 + (4241*f[7, 87])/192 - (1549*f[7, 88])/192 + 
       (785*f[7, 89])/192 - (1229*f[7, 90])/384 - (1313*f[7, 91])/96 + 
       (293*f[7, 92])/32 - (1865*f[7, 93])/384 + (607*f[7, 94])/64 + 
       (3167*f[7, 95])/64 - (1625*f[7, 96])/64 - (257*f[7, 97])/192 - 
       (833*f[7, 98])/192 + (461*f[7, 99])/24 + (26051*f[7, 100])/96 + 
       (4027*f[7, 101])/96 + (125*f[7, 102])/48 - (143*f[7, 103])/24 - 
       (337*f[7, 104])/24 - (3913*f[7, 105])/192 - (337*f[7, 106])/12 + 
       (9101*f[7, 107])/48 - (2789*f[7, 108])/192 + (879*f[7, 109])/64 - 
       (2137*f[7, 110])/128 + (2075*f[7, 111])/192 - (1897*f[7, 112])/64 - 
       (1415*f[7, 113])/48 + (197*f[7, 114])/192 + (5347*f[7, 115])/384 - 
       (2051*f[7, 116])/192 + (55097*f[7, 117])/96 - (355*f[7, 118])/384 - 
       (34555*f[7, 119])/384 - (1013*f[7, 120])/64 + (1779*f[7, 121])/64 - 
       (10315*f[7, 122])/192 - (1317*f[7, 123])/64 + (393*f[7, 124])/8 + 
       (9505*f[7, 125])/192 - (2797*f[7, 126])/96 - (3*f[7, 135])/8 - 
       3*f[7, 136] - (429*f[7, 137])/16 - (2315*f[7, 138])/64 + 
       (9*f[7, 146])/4 - (85*f[7, 147])/16 + (635*f[7, 148])/32 + 
       (2801*f[7, 149])/64 + (4703*f[7, 150])/96)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (f[7, 22]/8 - f[7, 24]/2 + f[7, 34]/8 - f[7, 40]/2 - f[7, 43]/2 - 
       f[7, 44]/2 - f[7, 45]/4 - f[7, 46]/4 + f[7, 47]/8 + f[7, 48]/16 - 
       (5*f[7, 49])/16 - (7*f[7, 51])/16 + (3*f[7, 52])/8 - (3*f[7, 53])/8 - 
       (13*f[7, 54])/16 + (3*f[7, 55])/8 - (7*f[7, 56])/64 + 
       (39*f[7, 57])/128 + (11*f[7, 58])/2 - (67*f[7, 59])/96 - 
       (11*f[7, 60])/256 + (155*f[7, 61])/128 - (1213*f[7, 62])/384 - 
       (1213*f[7, 63])/384 + (1213*f[7, 64])/384 - (397*f[7, 65])/128 + 
       (289*f[7, 66])/64 - (119*f[7, 67])/128 + (281*f[7, 68])/32 + 
       (281*f[7, 69])/32 - (257*f[7, 70])/128 + (289*f[7, 71])/128 - 
       (281*f[7, 72])/32 + (271*f[7, 73])/32 + (273*f[7, 74])/32 - 
       (31*f[7, 75])/6 - (2865*f[7, 76])/256 + (2821*f[7, 77])/256 - 
       (345*f[7, 78])/64 + (251*f[7, 79])/48 - (241*f[7, 80])/192 + 
       (279*f[7, 81])/16 - (4763*f[7, 82])/192 - (417*f[7, 83])/32 - 
       (959*f[7, 84])/192 + (6419*f[7, 85])/768 + (4505*f[7, 86])/192 + 
       (1889*f[7, 87])/192 - (997*f[7, 88])/192 + (1411*f[7, 89])/384 + 
       (1097*f[7, 90])/768 - (7225*f[7, 91])/192 + (1751*f[7, 92])/128 + 
       (4733*f[7, 93])/768 - (325*f[7, 94])/32 + (1313*f[7, 95])/64 - 
       (1149*f[7, 96])/128 - (1213*f[7, 97])/384 - (1117*f[7, 98])/384 + 
       (2483*f[7, 99])/384 + (16267*f[7, 100])/192 + (2003*f[7, 101])/192 + 
       (7207*f[7, 102])/384 - (301*f[7, 103])/192 + (1403*f[7, 104])/96 - 
       (71*f[7, 105])/24 - (547*f[7, 106])/12 + (5035*f[7, 107])/96 - 
       (6205*f[7, 108])/384 - (1357*f[7, 109])/128 + (93*f[7, 110])/256 + 
       (937*f[7, 111])/384 - (1641*f[7, 112])/128 - (4699*f[7, 113])/384 - 
       (773*f[7, 114])/96 - (9607*f[7, 115])/768 - (205*f[7, 116])/96 + 
       (49729*f[7, 117])/192 - (4541*f[7, 118])/768 - (27887*f[7, 119])/768 - 
       (1765*f[7, 120])/128 + (2055*f[7, 121])/128 - (14051*f[7, 122])/384 - 
       (1337*f[7, 123])/128 + (53*f[7, 124])/2 + (11195*f[7, 125])/384 - 
       (6439*f[7, 126])/384 - (3*f[7, 133])/8 + f[7, 134]/4 + f[7, 135]/16 - 
       (19*f[7, 136])/16 - (1567*f[7, 137])/32 - (5793*f[7, 138])/128 + 
       2*f[7, 145] + (57*f[7, 146])/4 + (357*f[7, 147])/32 - 
       (1805*f[7, 148])/64 - (10309*f[7, 149])/128 + (419*f[7, 150])/192)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u] + 
     ((2*f[7, 53])/3 + (3*f[7, 62])/8 + (3*f[7, 63])/8 - (3*f[7, 64])/8 - 
       (3*f[7, 75])/8 + (3*f[7, 79])/8 + (3*f[7, 80])/8 + 3*f[7, 81] - 
       (5*f[7, 82])/4 - 3*f[7, 83] - (3*f[7, 84])/8 + (3*f[7, 85])/8 + 
       (3*f[7, 86])/8 + (3*f[7, 87])/8 - (3*f[7, 88])/8 - (3*f[7, 89])/8 + 
       (3*f[7, 90])/8 + (3*f[7, 91])/2 + (3*f[7, 92])/8 + (9*f[7, 93])/8 - 
       (3*f[7, 94])/8 + (3*f[7, 95])/8 + (3*f[7, 96])/4 - (5*f[7, 97])/4 - 
       (9*f[7, 98])/4 - 3*f[7, 100] - (3*f[7, 101])/8 + (3*f[7, 103])/4 + 
       (3*f[7, 104])/8 + (9*f[7, 105])/8 - (3*f[7, 106])/2 - 
       (3*f[7, 107])/2 + (3*f[7, 108])/8 + (3*f[7, 109])/8 + 
       (3*f[7, 110])/4 + (3*f[7, 111])/8 - (9*f[7, 112])/8 + 
       (3*f[7, 113])/4 + (3*f[7, 114])/8 - (3*f[7, 115])/8 - 
       (9*f[7, 116])/8 - (3*f[7, 117])/2 + (3*f[7, 118])/4 + 
       (3*f[7, 119])/4 - (3*f[7, 120])/8 + (3*f[7, 121])/8 - 
       (15*f[7, 122])/8 - (3*f[7, 123])/8 + (3*f[7, 124])/4 + 
       (3*f[7, 125])/8 - (3*f[7, 126])/2 + f[7, 138]/6 + f[7, 149]/3 + 
       (3*f[7, 150])/2)*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - u] + 
     ((-3*f[7, 34])/2 + f[7, 36] + f[7, 45] + f[7, 46] - f[7, 47]/4 + 
       f[7, 48]/4 - f[7, 49]/4 + (3*f[7, 51])/4 - 5*f[7, 52] + f[7, 53]/2 + 
       (5*f[7, 54])/4 + f[7, 55]/2 - (11*f[7, 56])/8 + (11*f[7, 57])/8 + 
       10*f[7, 58] + (41*f[7, 59])/12 - (7*f[7, 60])/16 - (23*f[7, 61])/8 - 
       (83*f[7, 62])/96 - (83*f[7, 63])/96 + (83*f[7, 64])/96 + 
       (5*f[7, 65])/8 + (3*f[7, 66])/2 - (7*f[7, 67])/2 + f[7, 69] - 
       f[7, 70] + f[7, 71] - f[7, 72]/2 + (15*f[7, 73])/4 + f[7, 74]/2 + 
       (79*f[7, 75])/96 - (27*f[7, 76])/8 - (61*f[7, 77])/16 - f[7, 78]/2 + 
       (353*f[7, 79])/96 + (23*f[7, 80])/96 + (273*f[7, 81])/8 - 
       (197*f[7, 82])/24 - (85*f[7, 83])/4 - (41*f[7, 84])/96 - 
       (61*f[7, 85])/96 + (377*f[7, 86])/96 + (233*f[7, 87])/96 + 
       (47*f[7, 88])/96 + (191*f[7, 89])/96 + (299*f[7, 90])/96 - 
       (901*f[7, 91])/24 + (151*f[7, 92])/32 + (143*f[7, 93])/96 - 
       (759*f[7, 94])/32 - (49*f[7, 95])/32 - (7*f[7, 96])/16 + 
       (191*f[7, 97])/48 + (143*f[7, 98])/48 + (5*f[7, 99])/12 + 
       (173*f[7, 100])/12 - (19*f[7, 101])/96 + (289*f[7, 102])/12 - 
       (37*f[7, 103])/6 + (2125*f[7, 104])/96 + (551*f[7, 105])/96 - 
       (643*f[7, 106])/24 - (193*f[7, 107])/24 - (839*f[7, 108])/96 - 
       (421*f[7, 109])/32 + (105*f[7, 110])/8 - (331*f[7, 111])/96 + 
       (147*f[7, 112])/32 - (43*f[7, 113])/12 - (895*f[7, 114])/96 - 
       (967*f[7, 115])/96 + (445*f[7, 116])/96 + (829*f[7, 117])/24 - 
       (191*f[7, 118])/24 - (253*f[7, 119])/48 - (223*f[7, 120])/32 + 
       (11*f[7, 121])/32 - (337*f[7, 122])/96 + (69*f[7, 123])/32 - 
       (53*f[7, 124])/16 + (241*f[7, 125])/96 - (5*f[7, 126])/24 - 
       f[7, 135]/2 + (23*f[7, 136])/2 - (107*f[7, 137])/4 - 
       (407*f[7, 138])/16 - 3*f[7, 146] + (3*f[7, 147])/2 - 
       (51*f[7, 148])/2 - (1099*f[7, 149])/16 - (341*f[7, 150])/6)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (-f[7, 48]/2 - f[7, 51]/4 - f[7, 54]/4 - (5*f[7, 56])/16 + 
       (25*f[7, 57])/32 - (5*f[7, 58])/2 - (59*f[7, 59])/24 - 
       (5*f[7, 60])/64 - (59*f[7, 61])/32 + (37*f[7, 62])/96 + 
       (37*f[7, 63])/96 - (37*f[7, 64])/96 - (107*f[7, 65])/32 + 
       (51*f[7, 66])/16 + (83*f[7, 67])/32 + (51*f[7, 68])/8 + 
       (51*f[7, 69])/8 - (51*f[7, 70])/32 + (51*f[7, 71])/32 - 
       (51*f[7, 72])/8 + (51*f[7, 73])/8 + (51*f[7, 74])/8 + 
       (139*f[7, 75])/96 - (579*f[7, 76])/64 + (403*f[7, 77])/64 - 
       (51*f[7, 78])/16 + (293*f[7, 79])/96 + (251*f[7, 80])/96 - 
       (41*f[7, 81])/8 - (1183*f[7, 82])/48 - (127*f[7, 83])/8 - 
       (287*f[7, 84])/96 + (1951*f[7, 85])/192 + (2099*f[7, 86])/96 + 
       (1019*f[7, 87])/96 - (211*f[7, 88])/96 + (17*f[7, 89])/96 + 
       (169*f[7, 90])/192 + (937*f[7, 91])/48 + (149*f[7, 92])/16 + 
       (1717*f[7, 93])/192 + (321*f[7, 94])/32 + (457*f[7, 95])/32 + 
       (25*f[7, 96])/32 - (1007*f[7, 97])/96 - (1007*f[7, 98])/96 + 
       (275*f[7, 99])/48 + (1553*f[7, 100])/48 + (77*f[7, 101])/24 - 
       (173*f[7, 102])/48 + (55*f[7, 103])/12 - (289*f[7, 104])/48 + 
       (557*f[7, 105])/96 - (133*f[7, 106])/6 + (461*f[7, 107])/24 - 
       (185*f[7, 108])/96 + (7*f[7, 109])/32 + (193*f[7, 110])/64 + 
       (1019*f[7, 111])/96 - (389*f[7, 112])/32 + (173*f[7, 113])/48 - 
       (121*f[7, 114])/96 + (457*f[7, 115])/192 - (521*f[7, 116])/96 + 
       (5327*f[7, 117])/48 + (1211*f[7, 118])/192 - (2401*f[7, 119])/192 - 
       (269*f[7, 120])/32 + (83*f[7, 121])/32 - (1063*f[7, 122])/96 - 
       (137*f[7, 123])/32 + (55*f[7, 124])/8 + (37*f[7, 125])/96 - 
       (203*f[7, 126])/24 - (3*f[7, 135])/4 + 4*f[7, 136] - 
       (57*f[7, 137])/8 - (115*f[7, 138])/32 - (29*f[7, 146])/2 - 
       (69*f[7, 147])/8 + (15*f[7, 148])/16 + (553*f[7, 149])/32 - 
       (1471*f[7, 150])/48)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - u] + (-f[7, 56]/4 + (27*f[7, 57])/8 + 10*f[7, 58] - 
       (5*f[7, 59])/6 - (3*f[7, 60])/16 + (27*f[7, 61])/8 - 
       (107*f[7, 62])/24 - (107*f[7, 63])/24 + (107*f[7, 64])/24 - 
       (93*f[7, 65])/8 + (61*f[7, 66])/4 + (21*f[7, 67])/8 + 
       (61*f[7, 68])/2 + (61*f[7, 69])/2 - (61*f[7, 70])/8 + 
       (61*f[7, 71])/8 - (61*f[7, 72])/2 + (61*f[7, 73])/2 + 
       (61*f[7, 74])/2 - (59*f[7, 75])/24 - (637*f[7, 76])/16 + 
       (517*f[7, 77])/16 - (61*f[7, 78])/4 + (371*f[7, 79])/24 - 
       (7*f[7, 80])/24 + (15*f[7, 81])/2 - (1201*f[7, 82])/12 - 
       (113*f[7, 83])/2 - (335*f[7, 84])/24 + (1753*f[7, 85])/48 + 
       (2315*f[7, 86])/24 + (1055*f[7, 87])/24 - (331*f[7, 88])/24 + 
       (251*f[7, 89])/24 + (283*f[7, 90])/48 - (881*f[7, 91])/12 + 
       (185*f[7, 92])/4 + (1483*f[7, 93])/48 - (117*f[7, 94])/8 + 
       (549*f[7, 95])/8 - (149*f[7, 96])/8 - (425*f[7, 97])/24 - 
       (425*f[7, 98])/24 + (163*f[7, 99])/6 + (3095*f[7, 100])/12 + 
       (88*f[7, 101])/3 + (523*f[7, 102])/12 - (5*f[7, 103])/3 + 
       (335*f[7, 104])/12 + (101*f[7, 105])/24 - (371*f[7, 106])/3 + 
       (887*f[7, 107])/6 - (935*f[7, 108])/24 - (203*f[7, 109])/8 + 
       (111*f[7, 110])/16 + (617*f[7, 111])/24 - (365*f[7, 112])/8 - 
       (259*f[7, 113])/12 - (493*f[7, 114])/24 - (833*f[7, 115])/48 - 
       (227*f[7, 116])/24 + (8993*f[7, 117])/12 - (247*f[7, 118])/48 - 
       (4927*f[7, 119])/48 - (353*f[7, 120])/8 + (283*f[7, 121])/8 - 
       (2113*f[7, 122])/24 - (225*f[7, 123])/8 + 64*f[7, 124] + 
       (1423*f[7, 125])/24 - (523*f[7, 126])/12 + 5*f[7, 136] - 
       (423*f[7, 137])/8 - (1497*f[7, 138])/32 + f[7, 145] + 10*f[7, 146] + 
       6*f[7, 147] + (127*f[7, 148])/8 + (697*f[7, 149])/32 + 
       (567*f[7, 150])/16)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v] + (f[7, 34]/2 - f[7, 45] - f[7, 46] - 
       f[7, 47]/4 - f[7, 48]/4 + f[7, 49]/4 + 2*f[7, 50] - f[7, 51]/4 + 
       f[7, 52] + (3*f[7, 53])/2 - f[7, 54]/4 + (7*f[7, 55])/2 + 
       (3*f[7, 56])/8 + (19*f[7, 57])/8 + 6*f[7, 58] - (5*f[7, 59])/4 + 
       (17*f[7, 60])/16 + (5*f[7, 61])/8 - (121*f[7, 62])/32 - 
       (121*f[7, 63])/32 + (121*f[7, 64])/32 - (49*f[7, 65])/8 + 
       (17*f[7, 66])/4 - (17*f[7, 67])/8 + 4*f[7, 68] + (9*f[7, 69])/2 - 
       (7*f[7, 70])/8 + (7*f[7, 71])/8 - (3*f[7, 72])/2 + (13*f[7, 73])/4 + 
       (7*f[7, 74])/2 - (167*f[7, 75])/32 - (15*f[7, 76])/8 + 
       (141*f[7, 77])/16 - (9*f[7, 78])/4 + (133*f[7, 79])/32 - 
       (9*f[7, 80])/32 + (241*f[7, 81])/8 - (35*f[7, 82])/8 - 9*f[7, 83] - 
       (125*f[7, 84])/32 + (33*f[7, 85])/32 + (7*f[7, 86])/32 - 
       (97*f[7, 87])/32 - (85*f[7, 88])/32 + (169*f[7, 89])/32 + 
       (207*f[7, 90])/32 - (119*f[7, 91])/8 + (151*f[7, 92])/32 - 
       (51*f[7, 93])/32 - (289*f[7, 94])/32 + (253*f[7, 95])/32 - 
       (219*f[7, 96])/16 - (23*f[7, 97])/16 - (7*f[7, 98])/16 + 
       (9*f[7, 99])/4 + (269*f[7, 100])/4 + (291*f[7, 101])/32 + 
       14*f[7, 102] - (9*f[7, 103])/4 + (415*f[7, 104])/32 - 
       (209*f[7, 105])/32 - (229*f[7, 106])/8 + (377*f[7, 107])/8 - 
       (401*f[7, 108])/32 - (513*f[7, 109])/32 - (21*f[7, 110])/8 - 
       (69*f[7, 111])/32 - (79*f[7, 112])/32 - (109*f[7, 113])/16 - 
       (215*f[7, 114])/32 - (591*f[7, 115])/32 + (209*f[7, 116])/32 + 
       (1583*f[7, 117])/8 - (79*f[7, 118])/16 - (475*f[7, 119])/16 - 
       (375*f[7, 120])/32 + (407*f[7, 121])/32 - (727*f[7, 122])/32 - 
       (247*f[7, 123])/32 + (343*f[7, 124])/16 + (747*f[7, 125])/32 - 
       (67*f[7, 126])/16 + f[7, 133]/2 + f[7, 135]/4 + (29*f[7, 136])/4 + 
       (103*f[7, 137])/4 + 21*f[7, 138] + f[7, 145] - 2*f[7, 146] - 
       (45*f[7, 147])/8 + (109*f[7, 148])/4 + (1401*f[7, 149])/16 + 
       (2159*f[7, 150])/48)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v] + (-f[7, 49]/2 + f[7, 52] + (3*f[7, 56])/8 - 
       (13*f[7, 57])/16 + (19*f[7, 58])/2 - (29*f[7, 59])/6 - 
       (23*f[7, 60])/32 + (79*f[7, 61])/16 - (401*f[7, 62])/96 - 
       (401*f[7, 63])/96 + (401*f[7, 64])/96 + (63*f[7, 65])/16 - 
       (11*f[7, 66])/8 - (87*f[7, 67])/16 - (11*f[7, 68])/4 - 
       (11*f[7, 69])/4 + (11*f[7, 70])/16 - (11*f[7, 71])/16 + 
       (9*f[7, 72])/4 - (15*f[7, 73])/4 - (11*f[7, 74])/4 - 
       (307*f[7, 75])/48 + (231*f[7, 76])/32 - (15*f[7, 77])/32 + 
       (11*f[7, 78])/8 - (59*f[7, 79])/48 - (43*f[7, 80])/6 + 
       (43*f[7, 81])/2 + (517*f[7, 82])/24 + (35*f[7, 83])/2 + 
       (77*f[7, 84])/48 - (991*f[7, 85])/96 - (809*f[7, 86])/48 - 
       (461*f[7, 87])/48 + f[7, 88]/48 + (257*f[7, 89])/96 - 
       (205*f[7, 90])/96 - (233*f[7, 91])/3 - (73*f[7, 92])/16 - 
       (1021*f[7, 93])/96 - (425*f[7, 94])/16 - (95*f[7, 95])/16 - 
       (35*f[7, 96])/4 + (391*f[7, 97])/24 + (391*f[7, 98])/24 - 
       (545*f[7, 99])/96 + (649*f[7, 100])/24 + (467*f[7, 101])/96 + 
       (2351*f[7, 102])/96 - (479*f[7, 103])/48 + (2323*f[7, 104])/96 - 
       (331*f[7, 105])/24 + (23*f[7, 106])/24 + (401*f[7, 107])/24 - 
       (743*f[7, 108])/96 - (129*f[7, 109])/32 - (103*f[7, 110])/16 - 
       (1513*f[7, 111])/96 + (343*f[7, 112])/32 - (1919*f[7, 113])/96 - 
       (19*f[7, 114])/6 - (1147*f[7, 115])/96 + (83*f[7, 116])/12 + 
       (181*f[7, 117])/6 - (101*f[7, 118])/6 - (911*f[7, 119])/96 + 
       (205*f[7, 120])/32 + (203*f[7, 121])/32 - (661*f[7, 122])/96 + 
       (41*f[7, 123])/32 + (89*f[7, 124])/16 + (1807*f[7, 125])/96 + 
       (187*f[7, 126])/96 + f[7, 135]/2 - 5*f[7, 136] + (333*f[7, 137])/8 + 
       (1407*f[7, 138])/32 + 30*f[7, 146] + (57*f[7, 147])/4 + 
       (479*f[7, 148])/8 + (2997*f[7, 149])/32 + (5209*f[7, 150])/48)*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (f[7, 21] - f[7, 30]/4 - f[7, 31] + 2*f[7, 33] + (3*f[7, 50])/2 + 
       (3*f[7, 53])/2 - (5*f[7, 62])/16 - (5*f[7, 63])/16 + (5*f[7, 64])/16 - 
       (79*f[7, 65])/8 + (79*f[7, 66])/8 + (79*f[7, 67])/16 + 
       (161*f[7, 68])/8 + (77*f[7, 69])/4 - (77*f[7, 70])/16 + 
       (77*f[7, 71])/16 - (157*f[7, 72])/8 + (157*f[7, 73])/8 + 
       (157*f[7, 74])/8 + (13*f[7, 75])/8 - (769*f[7, 76])/32 + 
       (195*f[7, 77])/16 - (73*f[7, 78])/8 + (257*f[7, 79])/32 + 
       (71*f[7, 80])/32 - (17*f[7, 81])/2 - (605*f[7, 82])/8 - 
       (425*f[7, 83])/8 - (257*f[7, 84])/32 + (57*f[7, 85])/2 + 
       (985*f[7, 86])/16 + (455*f[7, 87])/16 - (257*f[7, 88])/32 + 
       (11*f[7, 89])/2 + (71*f[7, 90])/32 - 7*f[7, 91] + (839*f[7, 92])/32 + 
       (113*f[7, 93])/4 + (67*f[7, 94])/16 + (1329*f[7, 95])/32 - 
       (35*f[7, 96])/8 - (265*f[7, 97])/16 - (273*f[7, 98])/16 + 
       18*f[7, 99] + (921*f[7, 100])/8 + (267*f[7, 101])/32 + 15*f[7, 102] + 
       (113*f[7, 103])/32 + (133*f[7, 104])/32 + (237*f[7, 105])/32 - 
       (131*f[7, 106])/2 + (101*f[7, 107])/2 - 17*f[7, 108] - 
       (193*f[7, 109])/16 + (79*f[7, 110])/8 + (387*f[7, 111])/16 - 
       (971*f[7, 112])/32 - (125*f[7, 113])/32 - (277*f[7, 114])/32 - 
       (35*f[7, 115])/32 - (209*f[7, 116])/32 + 360*f[7, 117] + 
       (13*f[7, 118])/4 - (1441*f[7, 119])/32 - (391*f[7, 120])/16 + 
       (131*f[7, 121])/8 - (697*f[7, 122])/16 - (131*f[7, 123])/8 + 
       (131*f[7, 124])/4 + (371*f[7, 125])/16 - (733*f[7, 126])/32 + 
       f[7, 135]/4 - (31*f[7, 136])/8 - (407*f[7, 137])/16 - 
       (893*f[7, 138])/64 + (3*f[7, 145])/2 + (19*f[7, 146])/4 + 
       (7*f[7, 147])/8 + (377*f[7, 148])/16 + (2913*f[7, 149])/64 + 
       (871*f[7, 150])/12)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (-f[7, 21]/2 + f[7, 30]/16 - f[7, 37]/8 - 
       f[7, 38] - f[7, 45]/2 - f[7, 46]/2 + f[7, 47]/2 + f[7, 48]/4 + 
       f[7, 49]/16 - (11*f[7, 50])/8 + f[7, 51]/16 + (5*f[7, 52])/4 - 
       (7*f[7, 53])/4 - (15*f[7, 55])/4 + f[7, 56]/64 - (259*f[7, 57])/128 - 
       (43*f[7, 58])/8 + (49*f[7, 59])/24 - (121*f[7, 60])/256 + 
       (65*f[7, 61])/128 + (347*f[7, 62])/192 + (347*f[7, 63])/192 - 
       (347*f[7, 64])/192 + (321*f[7, 65])/128 - (261*f[7, 66])/64 + 
       (203*f[7, 67])/128 - (43*f[7, 68])/32 - (45*f[7, 69])/32 + 
       (85*f[7, 70])/128 - (85*f[7, 71])/128 - (15*f[7, 72])/32 - 
       (63*f[7, 73])/32 - (33*f[7, 74])/32 + (263*f[7, 75])/48 - 
       (523*f[7, 76])/256 - (945*f[7, 77])/256 + (29*f[7, 78])/64 - 
       (887*f[7, 79])/192 - (809*f[7, 80])/192 - (1257*f[7, 81])/32 + 
       (2591*f[7, 82])/192 + (983*f[7, 83])/32 + (379*f[7, 84])/96 - 
       (2111*f[7, 85])/768 + (751*f[7, 86])/192 + (793*f[7, 87])/192 + 
       (145*f[7, 88])/48 - (55*f[7, 89])/24 - (6665*f[7, 90])/768 - 
       (257*f[7, 91])/192 - (609*f[7, 92])/128 - (3797*f[7, 93])/768 + 
       (227*f[7, 94])/32 - (109*f[7, 95])/32 + (899*f[7, 96])/128 + 
       (559*f[7, 97])/384 + (559*f[7, 98])/384 - (125*f[7, 99])/96 - 
       (5071*f[7, 100])/192 - (1549*f[7, 101])/384 - (1165*f[7, 102])/96 + 
       (235*f[7, 103])/192 - (4391*f[7, 104])/384 - (59*f[7, 105])/48 + 
       (1753*f[7, 106])/48 - (44*f[7, 107])/3 + (895*f[7, 108])/96 + 
       (1045*f[7, 109])/64 - (1495*f[7, 110])/256 - (5*f[7, 111])/48 + 
       (89*f[7, 112])/32 - (10*f[7, 113])/3 + (271*f[7, 114])/48 + 
       (12703*f[7, 115])/768 - (293*f[7, 116])/96 - (20623*f[7, 117])/192 + 
       (2579*f[7, 118])/768 + (10775*f[7, 119])/768 + (715*f[7, 120])/64 - 
       (589*f[7, 121])/64 + (997*f[7, 122])/48 + (207*f[7, 123])/32 - 
       (979*f[7, 124])/64 - (3223*f[7, 125])/192 + (323*f[7, 126])/48 + 
       (3*f[7, 135])/8 - (11*f[7, 136])/2 - (253*f[7, 137])/32 - 
       (1045*f[7, 138])/128 - (3*f[7, 145])/2 + (11*f[7, 146])/8 + 
       (21*f[7, 147])/16 - (115*f[7, 148])/16 - (2607*f[7, 149])/128 - 
       (2863*f[7, 150])/192)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1}, 1 - u] + (f[7, 50]/12 + f[7, 53]/12 - f[7, 55]/4 - 
       (5*f[7, 65])/6 + (11*f[7, 66])/12 + (11*f[7, 67])/24 + 
       (7*f[7, 68])/3 + (7*f[7, 69])/3 - (7*f[7, 70])/12 + (7*f[7, 71])/12 - 
       (59*f[7, 72])/24 + (59*f[7, 73])/24 + (59*f[7, 74])/24 + 
       (13*f[7, 75])/192 - (115*f[7, 76])/32 + (13*f[7, 77])/6 - 
       (7*f[7, 78])/6 + (65*f[7, 79])/64 + (35*f[7, 80])/192 - 
       (61*f[7, 81])/48 - (379*f[7, 82])/48 - (7*f[7, 83])/2 - 
       (65*f[7, 84])/64 + (587*f[7, 85])/192 + (1523*f[7, 86])/192 + 
       (241*f[7, 87])/64 - (65*f[7, 88])/64 + f[7, 89]/3 + 
       (35*f[7, 90])/192 - f[7, 91]/2 + (641*f[7, 92])/192 + 
       (451*f[7, 93])/192 + (187*f[7, 94])/192 + (995*f[7, 95])/192 - 
       (13*f[7, 96])/24 - (119*f[7, 97])/48 - (119*f[7, 98])/48 + 
       (403*f[7, 99])/192 + (373*f[7, 100])/24 + (149*f[7, 101])/96 + 
       (197*f[7, 102])/192 + (59*f[7, 103])/96 + f[7, 104]/24 + 
       (65*f[7, 105])/64 - (65*f[7, 106])/8 + (17*f[7, 107])/2 - 
       (65*f[7, 108])/32 - (67*f[7, 109])/96 + (33*f[7, 110])/64 + 
       (5*f[7, 111])/2 - (379*f[7, 112])/96 - (125*f[7, 113])/192 - 
       (65*f[7, 114])/64 - (3*f[7, 115])/64 - (97*f[7, 116])/64 + 
       (142*f[7, 117])/3 + (187*f[7, 118])/192 - (49*f[7, 119])/8 - 
       (109*f[7, 120])/32 + (65*f[7, 121])/32 - (553*f[7, 122])/96 - 
       (65*f[7, 123])/32 + (65*f[7, 124])/16 + (139*f[7, 125])/48 - 
       (227*f[7, 126])/64 + (5*f[7, 135])/48 - (7*f[7, 136])/12 - 
       (37*f[7, 137])/32 - (139*f[7, 138])/128 + f[7, 145]/2 + 
       (11*f[7, 146])/8 + (37*f[7, 147])/96 + (267*f[7, 148])/64 + 
       (4037*f[7, 149])/384 + (4205*f[7, 150])/576)*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - u] + (f[7, 22]/2 + f[7, 48] - f[7, 54]/2 - 
       (5*f[7, 56])/8 - (39*f[7, 57])/16 - 34*f[7, 58] + (25*f[7, 59])/12 - 
       (37*f[7, 60])/32 - (11*f[7, 61])/16 + (781*f[7, 62])/48 + 
       (781*f[7, 63])/48 - (781*f[7, 64])/48 + (381*f[7, 65])/16 - 
       (213*f[7, 66])/8 + (59*f[7, 67])/16 - (213*f[7, 68])/4 - 
       (213*f[7, 69])/4 + (205*f[7, 70])/16 - (197*f[7, 71])/16 + 
       (213*f[7, 72])/4 - (213*f[7, 73])/4 - (213*f[7, 74])/4 + 
       (43*f[7, 75])/3 + (2229*f[7, 76])/32 - (1773*f[7, 77])/32 + 
       (193*f[7, 78])/8 - (683*f[7, 79])/24 + (113*f[7, 80])/12 - 
       88*f[7, 81] + (3575*f[7, 82])/24 + (343*f[7, 83])/4 + 
       (73*f[7, 84])/3 - (4907*f[7, 85])/96 - (3551*f[7, 86])/24 - 
       (1499*f[7, 87])/24 + (287*f[7, 88])/12 - (1147*f[7, 89])/48 - 
       (749*f[7, 90])/96 + (4729*f[7, 91])/24 - (1237*f[7, 92])/16 - 
       (3893*f[7, 93])/96 + (437*f[7, 94])/8 - (457*f[7, 95])/4 + 
       (741*f[7, 96])/16 + (1081*f[7, 97])/48 + (1081*f[7, 98])/48 - 
       (1991*f[7, 99])/48 - (11407*f[7, 100])/24 - (163*f[7, 101])/3 - 
       (5173*f[7, 102])/48 + (137*f[7, 103])/12 - (947*f[7, 104])/12 + 
       (247*f[7, 105])/24 + (1423*f[7, 106])/6 - (3271*f[7, 107])/12 + 
       (3973*f[7, 108])/48 + (949*f[7, 109])/16 - (229*f[7, 110])/32 - 
       (1237*f[7, 111])/48 + (1039*f[7, 112])/16 + (3139*f[7, 113])/48 + 
       (1099*f[7, 114])/24 + (5107*f[7, 115])/96 + (71*f[7, 116])/24 - 
       (33241*f[7, 117])/24 + (2225*f[7, 118])/96 + (18803*f[7, 119])/96 + 
       (1325*f[7, 120])/16 - (1195*f[7, 121])/16 + (8207*f[7, 122])/48 + 
       (789*f[7, 123])/16 - 124*f[7, 124] - (6431*f[7, 125])/48 + 
       (3661*f[7, 126])/48 + 2*f[7, 134] + f[7, 135]/2 - (27*f[7, 136])/4 + 
       (431*f[7, 137])/8 + (1607*f[7, 138])/32 - 53*f[7, 146] - 
       25*f[7, 147] - (1309*f[7, 148])/16 - (4237*f[7, 149])/32 - 
       (2759*f[7, 150])/16)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (f[7, 37]/2 + f[7, 42] - (39*f[7, 56])/8 - 
       (27*f[7, 57])/16 - 2*f[7, 58] + (41*f[7, 59])/4 - (65*f[7, 60])/32 - 
       (199*f[7, 61])/16 - (31*f[7, 62])/8 - (31*f[7, 63])/8 + 
       (31*f[7, 64])/8 - (495*f[7, 65])/16 + (239*f[7, 66])/8 + 
       (255*f[7, 67])/16 + (239*f[7, 68])/4 + (239*f[7, 69])/4 - 
       (239*f[7, 70])/16 + (239*f[7, 71])/16 - (239*f[7, 72])/4 + 
       (239*f[7, 73])/4 + (239*f[7, 74])/4 + (189*f[7, 75])/16 - 
       (2895*f[7, 76])/32 + (1895*f[7, 77])/32 - (239*f[7, 78])/8 + 
       (463*f[7, 79])/16 + (207*f[7, 80])/16 - (115*f[7, 81])/4 - 
       (1741*f[7, 82])/8 - (573*f[7, 83])/4 - (413*f[7, 84])/16 + 
       (2721*f[7, 85])/32 + (3369*f[7, 86])/16 + (1597*f[7, 87])/16 - 
       (361*f[7, 88])/16 + (61*f[7, 89])/4 + (191*f[7, 90])/32 + 
       (85*f[7, 91])/8 + (173*f[7, 92])/2 + (2499*f[7, 93])/32 + 
       (293*f[7, 94])/16 + (2125*f[7, 95])/16 - (269*f[7, 96])/16 - 
       (1071*f[7, 97])/16 - (1071*f[7, 98])/16 + (983*f[7, 99])/16 + 
       (3315*f[7, 100])/8 + (705*f[7, 101])/16 + (531*f[7, 102])/16 + 
       (123*f[7, 103])/8 + (83*f[7, 104])/16 + (449*f[7, 105])/16 - 
       (883*f[7, 106])/4 + 236*f[7, 107] - (505*f[7, 108])/8 - 
       (173*f[7, 109])/4 + (603*f[7, 110])/32 + (149*f[7, 111])/2 - 
       (381*f[7, 112])/4 - (55*f[7, 113])/16 - (633*f[7, 114])/16 - 
       (285*f[7, 115])/32 - (377*f[7, 116])/16 + (10451*f[7, 117])/8 + 
       (639*f[7, 118])/32 - (5503*f[7, 119])/32 - (763*f[7, 120])/8 + 
       (181*f[7, 121])/4 - (1043*f[7, 122])/8 - (401*f[7, 123])/8 + 
       (763*f[7, 124])/8 + (507*f[7, 125])/8 - (1155*f[7, 126])/16 + 
       f[7, 135]/2 + (45*f[7, 136])/2 - (587*f[7, 137])/4 - 
       (2249*f[7, 138])/16 - 48*f[7, 146] - (103*f[7, 147])/4 - 
       (461*f[7, 148])/8 - (1013*f[7, 149])/16 - (337*f[7, 150])/3)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (f[7, 23] - f[7, 41]/2 - (5*f[7, 42])/2 + (4*f[7, 47])/3 + f[7, 48]/4 + 
       f[7, 49]/12 + f[7, 50]/6 - f[7, 51]/6 - f[7, 54]/3 + (17*f[7, 56])/8 - 
       (245*f[7, 57])/48 - (25*f[7, 58])/3 - 2*f[7, 59] + (137*f[7, 60])/96 - 
       (49*f[7, 61])/48 + (349*f[7, 62])/96 + (349*f[7, 63])/96 - 
       (349*f[7, 64])/96 + (341*f[7, 65])/16 - (205*f[7, 66])/8 - 
       (419*f[7, 67])/48 - (205*f[7, 68])/4 - (205*f[7, 69])/4 + 
       (205*f[7, 70])/16 - (205*f[7, 71])/16 + (154*f[7, 72])/3 - 
       (205*f[7, 73])/4 - (307*f[7, 74])/6 - (133*f[7, 75])/48 + 
       (6815*f[7, 76])/96 - (1709*f[7, 77])/32 + (205*f[7, 78])/8 - 
       (1217*f[7, 79])/48 - (55*f[7, 80])/12 + (31*f[7, 81])/2 + 
       (4259*f[7, 82])/24 + 104*f[7, 83] + (1103*f[7, 84])/48 - 
       (6425*f[7, 85])/96 - (8255*f[7, 86])/48 - (3875*f[7, 87])/48 + 
       (349*f[7, 88])/16 - (515*f[7, 89])/32 - (691*f[7, 90])/96 + 
       73*f[7, 91] - (1237*f[7, 92])/16 - (5603*f[7, 93])/96 + 
       (85*f[7, 94])/12 - (5521*f[7, 95])/48 + (559*f[7, 96])/24 + 
       (899*f[7, 97])/24 + (899*f[7, 98])/24 - (1561*f[7, 99])/32 - 
       (3287*f[7, 100])/8 - (1473*f[7, 101])/32 - (1735*f[7, 102])/32 - 
       (31*f[7, 103])/16 - (2797*f[7, 104])/96 - (135*f[7, 105])/8 + 
       (4741*f[7, 106])/24 - (1883*f[7, 107])/8 + (5911*f[7, 108])/96 + 
       (1321*f[7, 109])/32 - (205*f[7, 110])/16 - (4999*f[7, 111])/96 + 
       (7739*f[7, 112])/96 + (683*f[7, 113])/32 + (271*f[7, 114])/8 + 
       (1895*f[7, 115])/96 + (209*f[7, 116])/12 - 1219*f[7, 117] + 
       (29*f[7, 118])/48 + (5273*f[7, 119])/32 + (7225*f[7, 120])/96 - 
       (1695*f[7, 121])/32 + (4295*f[7, 122])/32 + (4513*f[7, 123])/96 - 
       (4771*f[7, 124])/48 - (2653*f[7, 125])/32 + (2195*f[7, 126])/32 - 
       (25*f[7, 136])/2 + (1963*f[7, 137])/24 + (2291*f[7, 138])/32 + 
       (25*f[7, 146])/3 + (11*f[7, 147])/2 - (87*f[7, 148])/4 - 
       (5429*f[7, 149])/96 - (253*f[7, 150])/16)*HPL[{0, 0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (-f[7, 31]/2 + (11*f[7, 33])/6 - f[7, 50]/12 + 
       (7*f[7, 55])/6 - (7*f[7, 62])/48 - (7*f[7, 63])/48 + (7*f[7, 64])/48 - 
       (7*f[7, 81])/12 + (7*f[7, 89])/48 - (5*f[7, 91])/8 - (7*f[7, 96])/24 + 
       (7*f[7, 97])/24 + (7*f[7, 98])/24 + (7*f[7, 99])/48 + 
       (7*f[7, 100])/6 + (7*f[7, 101])/48 + (7*f[7, 102])/48 - 
       (7*f[7, 103])/24 + (7*f[7, 104])/48 - (7*f[7, 105])/24 - 
       (7*f[7, 106])/12 + (7*f[7, 107])/12 - (7*f[7, 108])/16 - 
       (7*f[7, 109])/16 - (7*f[7, 110])/48 - (7*f[7, 111])/48 + 
       (7*f[7, 112])/48 - (7*f[7, 113])/48 - (7*f[7, 114])/24 - 
       (7*f[7, 115])/24 + (7*f[7, 116])/24 + (35*f[7, 117])/12 - 
       (7*f[7, 118])/16 - (7*f[7, 119])/12 - (7*f[7, 120])/48 + 
       (7*f[7, 121])/48 - (7*f[7, 122])/48 - (7*f[7, 123])/48 + 
       (7*f[7, 124])/24 + (7*f[7, 125])/16 + (7*f[7, 126])/48 + f[7, 135]/4 - 
       (5*f[7, 136])/2 - (21*f[7, 137])/8 - (91*f[7, 138])/32 + 
       (11*f[7, 146])/2 + (27*f[7, 147])/8 - (27*f[7, 148])/16 - 
       (273*f[7, 149])/32 + (373*f[7, 150])/48)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1, 1}, 1 - v] + (-f[7, 37]/2 + f[7, 41]/2 + f[7, 42]/2 + 
       f[7, 43] + f[7, 44] - f[7, 48]/4 + f[7, 49]/2 - f[7, 52] + 
       2*f[7, 55] - (3*f[7, 56])/16 + (69*f[7, 57])/32 + 23*f[7, 58] - 
       (9*f[7, 59])/2 + (15*f[7, 60])/64 + (41*f[7, 61])/32 - 
       (297*f[7, 62])/32 - (297*f[7, 63])/32 + (297*f[7, 64])/32 - 
       (127*f[7, 65])/32 + (103*f[7, 66])/16 - (265*f[7, 67])/32 + 
       (79*f[7, 68])/8 + (87*f[7, 69])/8 - (87*f[7, 70])/32 + 
       (87*f[7, 71])/32 - (67*f[7, 72])/8 + (95*f[7, 73])/8 + 
       (91*f[7, 74])/8 - (491*f[7, 75])/32 - (631*f[7, 76])/64 + 
       (871*f[7, 77])/64 - (87*f[7, 78])/16 + (331*f[7, 79])/32 - 
       (221*f[7, 80])/32 + (337*f[7, 81])/4 - (301*f[7, 82])/16 - 
       (225*f[7, 83])/8 - (265*f[7, 84])/32 + (97*f[7, 85])/64 + 
       (465*f[7, 86])/32 + (145*f[7, 87])/32 - (245*f[7, 88])/32 + 
       (331*f[7, 89])/32 + (191*f[7, 90])/64 - (2081*f[7, 91])/16 + 
       16*f[7, 92] + (99*f[7, 93])/64 - (1635*f[7, 94])/32 + 
       (705*f[7, 95])/32 - (731*f[7, 96])/32 + (159*f[7, 97])/32 + 
       (159*f[7, 98])/32 + (61*f[7, 99])/16 + (2463*f[7, 100])/16 + 
       (77*f[7, 101])/4 + (125*f[7, 102])/2 - 14*f[7, 103] + 57*f[7, 104] - 
       (385*f[7, 105])/32 - (695*f[7, 106])/8 + (719*f[7, 107])/8 - 
       (1139*f[7, 108])/32 - (981*f[7, 109])/32 - (3*f[7, 110])/64 - 
       (423*f[7, 111])/32 - (245*f[7, 112])/32 - (297*f[7, 113])/8 - 
       (647*f[7, 114])/32 - (2817*f[7, 115])/64 + (245*f[7, 116])/32 + 
       (7233*f[7, 117])/16 - (1815*f[7, 118])/64 - (4471*f[7, 119])/64 - 
       (655*f[7, 120])/32 + (1051*f[7, 121])/32 - (2181*f[7, 122])/32 - 
       (445*f[7, 123])/32 + 47*f[7, 124] + (2079*f[7, 125])/32 - 
       (93*f[7, 126])/4 + f[7, 129] + f[7, 136]/2 + (83*f[7, 137])/2 + 
       (277*f[7, 138])/8 + 2*f[7, 145] + 46*f[7, 146] + 19*f[7, 147] + 
       (163*f[7, 148])/2 + (2539*f[7, 149])/16 + 165*f[7, 150])*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (-f[7, 6] + 2*f[7, 43] + 2*f[7, 44] - f[7, 47]/4 + (3*f[7, 49])/2 + 
       f[7, 50] + f[7, 51]/2 - f[7, 52]/2 + f[7, 53] + f[7, 54] + 
       2*f[7, 55] + (29*f[7, 56])/16 - (31*f[7, 57])/32 - 8*f[7, 58] + 
       f[7, 59]/8 + (83*f[7, 60])/64 - (43*f[7, 61])/32 + (65*f[7, 62])/16 + 
       (65*f[7, 63])/16 - (65*f[7, 64])/16 + (285*f[7, 65])/32 - 
       (205*f[7, 66])/16 - (93*f[7, 67])/32 - (237*f[7, 68])/8 - 
       (229*f[7, 69])/8 + (229*f[7, 70])/32 - (229*f[7, 71])/32 + 
       (257*f[7, 72])/8 - (233*f[7, 73])/8 - (237*f[7, 74])/8 - 
       (9*f[7, 75])/32 + (2901*f[7, 76])/64 - (2189*f[7, 77])/64 + 
       (237*f[7, 78])/16 - (423*f[7, 79])/32 + (29*f[7, 80])/32 + 
       (7*f[7, 81])/8 + (1563*f[7, 82])/16 + (339*f[7, 83])/8 + 
       (369*f[7, 84])/32 - (2375*f[7, 85])/64 - (3169*f[7, 86])/32 - 
       (1413*f[7, 87])/32 + (381*f[7, 88])/32 - (61*f[7, 89])/8 - 
       (97*f[7, 90])/64 + (817*f[7, 91])/16 - (697*f[7, 92])/16 - 
       (1877*f[7, 93])/64 + (127*f[7, 94])/32 - (2137*f[7, 95])/32 + 
       (483*f[7, 96])/32 + (733*f[7, 97])/32 + (733*f[7, 98])/32 - 
       (831*f[7, 99])/32 - (3857*f[7, 100])/16 - (903*f[7, 101])/32 - 
       (1027*f[7, 102])/32 - (49*f[7, 103])/16 - (505*f[7, 104])/32 - 
       (109*f[7, 105])/32 + (873*f[7, 106])/8 - 145*f[7, 107] + 
       (557*f[7, 108])/16 + (153*f[7, 109])/8 - (237*f[7, 110])/64 - 
       (217*f[7, 111])/8 + (173*f[7, 112])/4 + (651*f[7, 113])/32 + 
       (593*f[7, 114])/32 + (331*f[7, 115])/64 + (357*f[7, 116])/32 - 
       (11153*f[7, 117])/16 - (137*f[7, 118])/64 + (5933*f[7, 119])/64 + 
       (655*f[7, 120])/16 - (245*f[7, 121])/8 + (1205*f[7, 122])/16 + 
       (403*f[7, 123])/16 - (885*f[7, 124])/16 - (793*f[7, 125])/16 + 
       (1283*f[7, 126])/32 + 4*f[7, 129] - f[7, 135]/4 - (13*f[7, 136])/4 + 
       (25*f[7, 137])/2 + (229*f[7, 138])/16 - 4*f[7, 144] + f[7, 145] - 
       9*f[7, 146] + (21*f[7, 147])/8 - (897*f[7, 148])/16 - 
       (6745*f[7, 149])/48 - (1229*f[7, 150])/16)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (2*f[7, 35] + 2*f[7, 40] - f[7, 49] + f[7, 51] - 3*f[7, 52] + 
       4*f[7, 53] + 2*f[7, 54] - 8*f[7, 55] - 6*f[7, 56] - 11*f[7, 57] + 
       3*f[7, 58] + (35*f[7, 59])/6 - (19*f[7, 60])/2 - 25*f[7, 61] + 
       (283*f[7, 62])/48 + (283*f[7, 63])/48 - (283*f[7, 64])/48 - 
       (23*f[7, 65])/2 - (9*f[7, 66])/2 - (3*f[7, 67])/4 - 13*f[7, 68] - 
       13*f[7, 69] + (31*f[7, 70])/4 - (31*f[7, 71])/4 + 13*f[7, 72] - 
       (37*f[7, 73])/2 - 13*f[7, 74] + (233*f[7, 75])/24 + 16*f[7, 76] - 
       (81*f[7, 77])/2 + (13*f[7, 78])/2 + (44*f[7, 79])/3 + 
       (85*f[7, 80])/6 + 134*f[7, 81] - (11*f[7, 82])/3 - 111*f[7, 83] + 
       (13*f[7, 84])/3 - (221*f[7, 85])/24 - (719*f[7, 86])/24 - 
       (155*f[7, 87])/24 + (29*f[7, 88])/3 - (187*f[7, 89])/48 - 
       (4*f[7, 90])/3 + (299*f[7, 91])/12 + (15*f[7, 92])/8 + 
       (68*f[7, 93])/3 - (117*f[7, 94])/8 - (157*f[7, 95])/4 + 
       (291*f[7, 96])/8 - (583*f[7, 97])/24 - (583*f[7, 98])/24 - 
       (1037*f[7, 99])/48 - (893*f[7, 100])/3 - (2209*f[7, 101])/48 + 
       (617*f[7, 102])/48 + (109*f[7, 103])/6 + (1441*f[7, 104])/48 + 
       (931*f[7, 105])/24 - (43*f[7, 106])/12 - (2635*f[7, 107])/12 + 
       (613*f[7, 108])/48 - (289*f[7, 109])/16 + (377*f[7, 110])/16 - 
       (61*f[7, 111])/48 + (405*f[7, 112])/16 + (1531*f[7, 113])/48 - 
       (233*f[7, 114])/24 - (229*f[7, 115])/12 + (137*f[7, 116])/24 - 
       (6287*f[7, 117])/12 + (655*f[7, 118])/48 + (2111*f[7, 119])/24 + 
       (77*f[7, 120])/16 - (621*f[7, 121])/16 + (2951*f[7, 122])/48 + 
       (453*f[7, 123])/16 - (541*f[7, 124])/8 - (3533*f[7, 125])/48 + 
       (1321*f[7, 126])/48 - f[7, 135]/4 + 5*f[7, 136] + (23*f[7, 137])/8 + 
       (601*f[7, 138])/32 - 2*f[7, 145] + f[7, 146]/2 + (71*f[7, 147])/8 - 
       (655*f[7, 148])/16 - (2365*f[7, 149])/32 - (4613*f[7, 150])/48)*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (-f[7, 28] - 2*f[7, 32] + f[7, 36] + f[7, 37]/2 + 4*f[7, 38] + 
       f[7, 39] + f[7, 40] - f[7, 41] - f[7, 42] - 3*f[7, 43] - 6*f[7, 44] - 
       f[7, 45] - 3*f[7, 46] - f[7, 47]/2 + (5*f[7, 48])/4 - 
       (11*f[7, 49])/4 + (9*f[7, 50])/2 - (5*f[7, 51])/4 + (3*f[7, 53])/2 - 
       (9*f[7, 54])/4 + 2*f[7, 55] - (93*f[7, 56])/16 + (385*f[7, 57])/32 + 
       23*f[7, 58] - (335*f[7, 59])/24 - (165*f[7, 60])/64 - 
       (3*f[7, 61])/32 - (28*f[7, 62])/3 - (28*f[7, 63])/3 + 
       (28*f[7, 64])/3 - (1867*f[7, 65])/32 + (1015*f[7, 66])/16 + 
       (543*f[7, 67])/32 + (953*f[7, 68])/8 + (951*f[7, 69])/8 - 
       (887*f[7, 70])/32 + (903*f[7, 71])/32 - (961*f[7, 72])/8 + 
       (961*f[7, 73])/8 + (947*f[7, 74])/8 - (295*f[7, 75])/48 - 
       (10179*f[7, 76])/64 + (7115*f[7, 77])/64 - (867*f[7, 78])/16 + 
       (1445*f[7, 79])/24 + (547*f[7, 80])/48 + (239*f[7, 81])/4 - 
       (19921*f[7, 82])/48 - (2223*f[7, 83])/8 - (2809*f[7, 84])/48 + 
       (29257*f[7, 85])/192 + (1126*f[7, 86])/3 + (4067*f[7, 87])/24 - 
       (2591*f[7, 88])/48 + (1537*f[7, 89])/48 + (6103*f[7, 90])/192 - 
       (4073*f[7, 91])/48 + (5577*f[7, 92])/32 + (27475*f[7, 93])/192 - 
       (33*f[7, 94])/8 + (4271*f[7, 95])/16 - (1745*f[7, 96])/32 - 
       (10877*f[7, 97])/96 - (10685*f[7, 98])/96 + (2599*f[7, 99])/24 + 
       (40385*f[7, 100])/48 + (8495*f[7, 101])/96 + (5839*f[7, 102])/48 + 
       (229*f[7, 103])/12 + (5911*f[7, 104])/96 + (1975*f[7, 105])/48 - 
       (11755*f[7, 106])/24 + (5809*f[7, 107])/12 - (5983*f[7, 108])/48 - 
       (695*f[7, 109])/8 + (2957*f[7, 110])/64 + (6151*f[7, 111])/48 - 
       (3089*f[7, 112])/16 - (2089*f[7, 113])/48 - (3173*f[7, 114])/48 - 
       (8609*f[7, 115])/192 - (2401*f[7, 116])/48 + (126761*f[7, 117])/48 + 
       (3383*f[7, 118])/192 - (66097*f[7, 119])/192 - (2881*f[7, 120])/16 + 
       (1011*f[7, 121])/8 - (15881*f[7, 122])/48 - (1747*f[7, 123])/16 + 
       (3781*f[7, 124])/16 + (2321*f[7, 125])/12 - (4205*f[7, 126])/24 - 
       f[7, 132] + f[7, 134] + (15*f[7, 136])/4 - (329*f[7, 137])/8 - 
       (1567*f[7, 138])/32 - 2*f[7, 144] + 5*f[7, 145] + (77*f[7, 146])/2 - 
       (5*f[7, 147])/4 + (813*f[7, 148])/4 + (16557*f[7, 149])/32 + 
       (7607*f[7, 150])/24)*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (f[7, 22]/4 - f[7, 24] - f[7, 30]/4 - f[7, 34]/4 - f[7, 37]/4 - 
       f[7, 39]/2 - f[7, 40]/2 - f[7, 43]/2 - f[7, 44] + (3*f[7, 45])/2 + 
       (3*f[7, 46])/2 + f[7, 47]/8 - (3*f[7, 48])/4 - f[7, 49] - 5*f[7, 50] + 
       f[7, 51]/2 - (7*f[7, 52])/4 - (13*f[7, 53])/4 + (9*f[7, 54])/8 - 
       (9*f[7, 55])/2 - (7*f[7, 56])/32 - (117*f[7, 57])/64 - 6*f[7, 58] + 
       (127*f[7, 59])/48 - (223*f[7, 60])/128 - (225*f[7, 61])/64 + 
       (985*f[7, 62])/192 + (985*f[7, 63])/192 - (985*f[7, 64])/192 - 
       (473*f[7, 65])/64 + (141*f[7, 66])/32 + (581*f[7, 67])/64 + 
       (195*f[7, 68])/16 + (181*f[7, 69])/16 - (189*f[7, 70])/64 + 
       (157*f[7, 71])/64 - (249*f[7, 72])/16 + (185*f[7, 73])/16 + 
       (203*f[7, 74])/16 + (1259*f[7, 75])/96 - (3089*f[7, 76])/128 + 
       (625*f[7, 77])/128 - (133*f[7, 78])/32 + (385*f[7, 79])/96 + 
       (35*f[7, 80])/12 - (249*f[7, 81])/8 - (5383*f[7, 82])/96 - 
       (361*f[7, 83])/16 - (25*f[7, 84])/24 + (8683*f[7, 85])/384 + 
       (164*f[7, 86])/3 + (667*f[7, 87])/24 - (73*f[7, 88])/48 - 
       (139*f[7, 89])/192 - (935*f[7, 90])/384 + (4279*f[7, 91])/96 + 
       (1223*f[7, 92])/64 + (7837*f[7, 93])/384 + (835*f[7, 94])/32 + 
       (373*f[7, 95])/16 + (711*f[7, 96])/64 - (3209*f[7, 97])/192 - 
       (3593*f[7, 98])/192 + (2299*f[7, 99])/192 + (1667*f[7, 100])/96 - 
       (167*f[7, 101])/96 - (2287*f[7, 102])/192 + (533*f[7, 103])/48 - 
       (1903*f[7, 104])/96 + (1711*f[7, 105])/96 - (181*f[7, 106])/12 - 
       (175*f[7, 107])/48 + (1021*f[7, 108])/192 + (449*f[7, 109])/64 + 
       (1049*f[7, 110])/128 + (5519*f[7, 111])/192 - (1223*f[7, 112])/64 + 
       (1951*f[7, 113])/192 + (133*f[7, 114])/96 + (9673*f[7, 115])/384 - 
       (901*f[7, 116])/96 + (6353*f[7, 117])/96 + (8495*f[7, 118])/384 - 
       (223*f[7, 119])/384 - (863*f[7, 120])/64 - (551*f[7, 121])/64 + 
       (1091*f[7, 122])/192 - (95*f[7, 123])/64 - (33*f[7, 124])/4 - 
       (4451*f[7, 125])/192 - (1199*f[7, 126])/192 - 2*f[7, 129] - 
       f[7, 133]/4 - 2*f[7, 134] + (139*f[7, 136])/8 - (571*f[7, 137])/4 - 
       (2207*f[7, 138])/16 - (3*f[7, 145])/2 - (93*f[7, 146])/2 - 
       (23*f[7, 147])/2 - (4451*f[7, 148])/32 - (9867*f[7, 149])/32 - 
       (788*f[7, 150])/3)*HPL[{0, 1, 1}, 1 - v]^2 + 
     (-f[7, 25] - f[7, 29] - f[7, 51] - 4*f[7, 52] - f[7, 54] - f[7, 56] + 
       3*f[7, 57] + 6*f[7, 58] + (2*f[7, 59])/3 - f[7, 61] + f[7, 62]/24 + 
       f[7, 63]/24 - f[7, 64]/24 - 10*f[7, 65] + 9*f[7, 66] + 2*f[7, 67] + 
       20*f[7, 68] + 20*f[7, 69] - 5*f[7, 70] + 5*f[7, 71] - 20*f[7, 72] + 
       22*f[7, 73] + 20*f[7, 74] + (8*f[7, 75])/3 - (57*f[7, 76])/2 + 
       (29*f[7, 77])/2 - 10*f[7, 78] + (77*f[7, 79])/6 + (61*f[7, 80])/12 + 
       16*f[7, 81] - (223*f[7, 82])/3 - 47*f[7, 83] - (53*f[7, 84])/6 + 
       (79*f[7, 85])/3 + (199*f[7, 86])/3 + (94*f[7, 87])/3 - 
       (49*f[7, 88])/6 + (155*f[7, 89])/24 + (35*f[7, 90])/6 - 
       (115*f[7, 91])/6 + (141*f[7, 92])/4 + (67*f[7, 93])/3 + f[7, 94] + 
       41*f[7, 95] - (21*f[7, 96])/4 - (205*f[7, 97])/12 - 
       (205*f[7, 98])/12 + (439*f[7, 99])/24 + (401*f[7, 100])/3 + 
       (275*f[7, 101])/24 + (515*f[7, 102])/24 + (13*f[7, 103])/12 + 
       (295*f[7, 104])/24 + (157*f[7, 105])/12 - (499*f[7, 106])/6 + 
       (395*f[7, 107])/6 - (569*f[7, 108])/24 - (175*f[7, 109])/8 + 
       (111*f[7, 110])/8 + (497*f[7, 111])/24 - (231*f[7, 112])/8 - 
       (47*f[7, 113])/24 - (179*f[7, 114])/12 - (107*f[7, 115])/12 - 
       (67*f[7, 116])/12 + (2515*f[7, 117])/6 + (91*f[7, 118])/24 - 
       (329*f[7, 119])/6 - (269*f[7, 120])/8 + (141*f[7, 121])/8 - 
       (1147*f[7, 122])/24 - (133*f[7, 123])/8 + (137*f[7, 124])/4 + 
       (649*f[7, 125])/24 - (581*f[7, 126])/24 + f[7, 135]/2 - 
       (13*f[7, 136])/2 - (87*f[7, 137])/4 - (321*f[7, 138])/16 + 
       4*f[7, 145] + 26*f[7, 146] + (49*f[7, 147])/4 + (163*f[7, 148])/8 + 
       (877*f[7, 149])/16 + (367*f[7, 150])/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (f[7, 56]/16 - (7*f[7, 57])/32 + f[7, 58] - f[7, 59]/24 + 
       (3*f[7, 60])/64 + (5*f[7, 61])/32 - (23*f[7, 62])/48 - 
       (23*f[7, 63])/48 + (23*f[7, 64])/48 + (5*f[7, 65])/32 - f[7, 66]/16 - 
       (17*f[7, 67])/32 - f[7, 68]/8 - f[7, 69]/8 + f[7, 70]/32 - 
       f[7, 71]/32 + f[7, 72]/8 - f[7, 73]/8 - f[7, 74]/8 - 
       (73*f[7, 75])/96 + (45*f[7, 76])/64 - (21*f[7, 77])/64 + f[7, 78]/16 - 
       (5*f[7, 79])/96 - (53*f[7, 80])/96 + (33*f[7, 81])/8 + 
       (109*f[7, 82])/48 + (13*f[7, 83])/8 + (11*f[7, 84])/96 - 
       (193*f[7, 85])/192 - (221*f[7, 86])/96 - (125*f[7, 87])/96 + 
       (7*f[7, 88])/96 + (5*f[7, 89])/12 - (19*f[7, 90])/192 - 
       (325*f[7, 91])/48 - f[7, 92]/2 - (283*f[7, 93])/192 - 
       (85*f[7, 94])/32 - (29*f[7, 95])/32 - (29*f[7, 96])/32 + 
       (71*f[7, 97])/96 + (71*f[7, 98])/96 - (67*f[7, 99])/96 + 
       (61*f[7, 100])/48 + (7*f[7, 101])/96 + (229*f[7, 102])/96 - 
       (37*f[7, 103])/48 + (221*f[7, 104])/96 - (119*f[7, 105])/96 - 
       (5*f[7, 106])/24 + f[7, 107]/6 - (35*f[7, 108])/48 - (7*f[7, 109])/8 - 
       (25*f[7, 110])/64 - (19*f[7, 111])/12 + (21*f[7, 112])/16 - 
       (163*f[7, 113])/96 - (41*f[7, 114])/96 - (319*f[7, 115])/192 + 
       (95*f[7, 116])/96 + (61*f[7, 117])/48 - (275*f[7, 118])/192 - 
       (113*f[7, 119])/192 + (7*f[7, 120])/16 + (5*f[7, 121])/8 - 
       (25*f[7, 122])/48 + (3*f[7, 123])/16 + (7*f[7, 124])/16 + 
       (79*f[7, 125])/48 + (41*f[7, 126])/96 + f[7, 135]/8 + 
       (17*f[7, 136])/8 + (87*f[7, 137])/16 + (337*f[7, 138])/64 - 
       2*f[7, 146] - (29*f[7, 147])/16 + (165*f[7, 148])/32 + 
       (911*f[7, 149])/64 + (217*f[7, 150])/48)*HPL[{1}, 1 - v]^2*
      HPL[{0, 0, 0, 1}, 1 - u] + (-f[7, 23] - f[7, 34]/2 + f[7, 35] - 
       4*f[7, 38] + f[7, 40] + f[7, 41] + f[7, 42] + f[7, 45] + 3*f[7, 46] + 
       (3*f[7, 48])/4 - (3*f[7, 49])/4 + (3*f[7, 51])/4 - f[7, 52] + 
       (5*f[7, 53])/2 - f[7, 54]/4 - 4*f[7, 55] - (15*f[7, 56])/16 - 
       (433*f[7, 57])/32 - (25*f[7, 58])/2 + (77*f[7, 59])/24 - 
       (387*f[7, 60])/64 - (365*f[7, 61])/32 + (145*f[7, 62])/12 + 
       (145*f[7, 63])/12 - (145*f[7, 64])/12 + (1323*f[7, 65])/32 - 
       (927*f[7, 66])/16 - (655*f[7, 67])/32 - (949*f[7, 68])/8 - 
       (935*f[7, 69])/8 + (951*f[7, 70])/32 - (951*f[7, 71])/32 + 
       (925*f[7, 72])/8 - (953*f[7, 73])/8 - (933*f[7, 74])/8 + 
       (41*f[7, 75])/96 + (10323*f[7, 76])/64 - (8099*f[7, 77])/64 + 
       (879*f[7, 78])/16 - (4667*f[7, 79])/96 - (977*f[7, 80])/96 + 
       (615*f[7, 81])/8 + (19363*f[7, 82])/48 + (1667*f[7, 83])/8 + 
       (5045*f[7, 84])/96 - (29695*f[7, 85])/192 - (36635*f[7, 86])/96 - 
       (16463*f[7, 87])/96 + (5161*f[7, 88])/96 - (1567*f[7, 89])/48 - 
       (4333*f[7, 90])/192 + (6161*f[7, 91])/48 - (2693*f[7, 92])/16 - 
       (24577*f[7, 93])/192 - (247*f[7, 94])/32 - (8571*f[7, 95])/32 + 
       (2013*f[7, 96])/32 + (7877*f[7, 97])/96 + (7685*f[7, 98])/96 - 
       (11323*f[7, 99])/96 - (46337*f[7, 100])/48 - (10427*f[7, 101])/96 - 
       (9923*f[7, 102])/96 - (49*f[7, 103])/12 - (3889*f[7, 104])/96 - 
       (1961*f[7, 105])/96 + (10615*f[7, 106])/24 - (6895*f[7, 107])/12 + 
       (3137*f[7, 108])/24 + (1247*f[7, 109])/16 - (1679*f[7, 110])/64 - 
       (5977*f[7, 111])/48 + (1515*f[7, 112])/8 + (4355*f[7, 113])/96 + 
       (6193*f[7, 114])/96 + (4187*f[7, 115])/192 + (4289*f[7, 116])/96 - 
       (131753*f[7, 117])/48 - (1145*f[7, 118])/192 + (70525*f[7, 119])/192 + 
       (339*f[7, 120])/2 - (2015*f[7, 121])/16 + (3767*f[7, 122])/12 + 
       (917*f[7, 123])/8 - (3869*f[7, 124])/16 - (4807*f[7, 125])/24 + 
       (15629*f[7, 126])/96 + (5*f[7, 133])/2 + f[7, 135] - 
       (15*f[7, 136])/4 + 191*f[7, 137] + (1433*f[7, 138])/8 - 5*f[7, 145] - 
       13*f[7, 146] + (3*f[7, 147])/4 - 49*f[7, 148] - (1997*f[7, 149])/16 - 
       (3239*f[7, 150])/24)*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (-f[7, 23] + f[7, 34]/2 - f[7, 45] - f[7, 46] - f[7, 47]/4 - 
       f[7, 48]/4 + f[7, 49]/4 + 2*f[7, 50] - f[7, 51]/4 + f[7, 52] + 
       (3*f[7, 53])/2 - f[7, 54]/4 + (7*f[7, 55])/2 - f[7, 56]/4 + 
       (65*f[7, 57])/16 + (15*f[7, 58])/2 - (5*f[7, 59])/6 - 
       (45*f[7, 60])/32 + (17*f[7, 61])/16 - (235*f[7, 62])/48 - 
       (235*f[7, 63])/48 + (235*f[7, 64])/48 - (103*f[7, 65])/16 + 
       (45*f[7, 66])/8 - (35*f[7, 67])/16 + (27*f[7, 68])/4 + 
       (29*f[7, 69])/4 - (25*f[7, 70])/16 + (25*f[7, 71])/16 - 
       (21*f[7, 72])/4 + 6*f[7, 73] + (25*f[7, 74])/4 - (515*f[7, 75])/96 - 
       (185*f[7, 76])/32 + (411*f[7, 77])/32 - (29*f[7, 78])/8 + 
       (539*f[7, 79])/96 - (61*f[7, 80])/96 + (199*f[7, 81])/8 - 
       (40*f[7, 82])/3 - (39*f[7, 83])/4 - (527*f[7, 84])/96 + 
       (49*f[7, 85])/12 + (899*f[7, 86])/96 + (131*f[7, 87])/96 - 
       (367*f[7, 88])/96 + (325*f[7, 89])/48 + (355*f[7, 90])/48 - 
       (859*f[7, 91])/24 + (325*f[7, 92])/32 - (5*f[7, 93])/48 - 
       (441*f[7, 94])/32 + (449*f[7, 95])/32 - (265*f[7, 96])/16 + 
       (71*f[7, 97])/48 + (119*f[7, 98])/48 + (493*f[7, 99])/96 + 
       (2491*f[7, 100])/24 + (679*f[7, 101])/48 + (1973*f[7, 102])/96 - 
       (221*f[7, 103])/48 + (881*f[7, 104])/48 - (721*f[7, 105])/96 - 
       (116*f[7, 106])/3 + (835*f[7, 107])/12 - (431*f[7, 108])/24 - 
       (81*f[7, 109])/4 - 3*f[7, 110] - (47*f[7, 111])/48 - 
       (49*f[7, 112])/8 - (965*f[7, 113])/96 - (1003*f[7, 114])/96 - 
       (1037*f[7, 115])/48 + (649*f[7, 116])/96 + (7027*f[7, 117])/24 - 
       (475*f[7, 118])/48 - (4205*f[7, 119])/96 - (61*f[7, 120])/4 + 
       (135*f[7, 121])/8 - (377*f[7, 122])/12 - (43*f[7, 123])/4 + 
       (229*f[7, 124])/8 + (1487*f[7, 125])/48 - (743*f[7, 126])/96 + 
       f[7, 133]/2 + f[7, 135]/4 + (43*f[7, 136])/4 + (17*f[7, 137])/8 + 
       (37*f[7, 138])/32 + f[7, 145] - 5*f[7, 146] - (37*f[7, 147])/8 + 
       (73*f[7, 148])/8 + (1257*f[7, 149])/32 + (213*f[7, 150])/8)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-f[7, 25] - f[7, 29] - f[7, 42] - f[7, 51] - 4*f[7, 52] - f[7, 54] - 
       f[7, 56]/2 + (5*f[7, 57])/4 + 14*f[7, 58] + f[7, 59]/3 + 
       (3*f[7, 60])/8 + f[7, 61]/4 - (91*f[7, 62])/24 - (91*f[7, 63])/24 + 
       (91*f[7, 64])/24 - (43*f[7, 65])/4 + (21*f[7, 66])/2 - 
       (5*f[7, 67])/4 + 23*f[7, 68] + 23*f[7, 69] - (23*f[7, 70])/4 + 
       (23*f[7, 71])/4 - 23*f[7, 72] + 25*f[7, 73] + 23*f[7, 74] - 
       (121*f[7, 75])/24 - (245*f[7, 76])/8 + (147*f[7, 77])/8 - 
       (23*f[7, 78])/2 + (197*f[7, 79])/12 + (19*f[7, 80])/6 + 
       (107*f[7, 81])/2 - (227*f[7, 82])/3 - (107*f[7, 83])/2 - 
       (143*f[7, 84])/12 + (151*f[7, 85])/6 + (1585*f[7, 86])/24 + 
       (733*f[7, 87])/24 - (139*f[7, 88])/12 + (247*f[7, 89])/24 + 
       (181*f[7, 90])/24 - (211*f[7, 91])/3 + (313*f[7, 92])/8 + 
       (59*f[7, 93])/3 - (39*f[7, 94])/2 + (187*f[7, 95])/4 - 
       (59*f[7, 96])/4 - (109*f[7, 97])/6 - (109*f[7, 98])/6 + 
       (229*f[7, 99])/12 + (1091*f[7, 100])/6 + (421*f[7, 101])/24 + 
       (527*f[7, 102])/12 - (49*f[7, 103])/12 + (815*f[7, 104])/24 + 
       (43*f[7, 105])/6 - (701*f[7, 106])/6 + (559*f[7, 107])/6 - 
       (901*f[7, 108])/24 - (275*f[7, 109])/8 + (95*f[7, 110])/8 + 
       (325*f[7, 111])/24 - (61*f[7, 112])/2 - (349*f[7, 113])/24 - 
       (67*f[7, 114])/3 - (665*f[7, 115])/24 - (8*f[7, 116])/3 + 
       (1708*f[7, 117])/3 - (83*f[7, 118])/12 - (1891*f[7, 119])/24 - 
       (335*f[7, 120])/8 + (245*f[7, 121])/8 - (1811*f[7, 122])/24 - 
       (185*f[7, 123])/8 + (215*f[7, 124])/4 + (1301*f[7, 125])/24 - 
       (811*f[7, 126])/24 + f[7, 135]/4 + (39*f[7, 136])/4 + 9*f[7, 137] + 
       (87*f[7, 138])/8 - f[7, 145] + 9*f[7, 146] - (17*f[7, 147])/8 + 
       (887*f[7, 148])/16 + (589*f[7, 149])/4 + (3683*f[7, 150])/48)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (f[7, 25]/4 + f[7, 29]/4 + f[7, 51]/4 + f[7, 52] + f[7, 54]/4 + 
       (3*f[7, 56])/16 - (17*f[7, 57])/32 - (5*f[7, 58])/2 - f[7, 59]/8 - 
       (3*f[7, 60])/64 + (3*f[7, 61])/32 + (15*f[7, 62])/32 + 
       (15*f[7, 63])/32 - (15*f[7, 64])/32 + (67*f[7, 65])/32 - 
       (31*f[7, 66])/16 + (5*f[7, 67])/32 - (35*f[7, 68])/8 - 
       (35*f[7, 69])/8 + (35*f[7, 70])/32 - (35*f[7, 71])/32 + 
       (35*f[7, 72])/8 - (39*f[7, 73])/8 - (35*f[7, 74])/8 + 
       (9*f[7, 75])/32 + (379*f[7, 76])/64 - (203*f[7, 77])/64 + 
       (35*f[7, 78])/16 - (97*f[7, 79])/32 - (23*f[7, 80])/32 - 
       (71*f[7, 81])/8 + (233*f[7, 82])/16 + (75*f[7, 83])/8 + 
       (63*f[7, 84])/32 - (313*f[7, 85])/64 - (411*f[7, 86])/32 - 
       (191*f[7, 87])/32 + (59*f[7, 88])/32 - (61*f[7, 89])/32 - 
       (87*f[7, 90])/64 + (177*f[7, 91])/16 - (61*f[7, 92])/8 - 
       (227*f[7, 93])/64 + (81*f[7, 94])/32 - (267*f[7, 95])/32 + 
       (71*f[7, 96])/32 + (105*f[7, 97])/32 + (105*f[7, 98])/32 - 
       (55*f[7, 99])/16 - (523*f[7, 100])/16 - (47*f[7, 101])/16 - 
       (119*f[7, 102])/16 + (5*f[7, 103])/8 - (43*f[7, 104])/8 - 
       (61*f[7, 105])/32 + 20*f[7, 106] - (129*f[7, 107])/8 + 
       (205*f[7, 108])/32 + (199*f[7, 109])/32 - (177*f[7, 110])/64 - 
       (95*f[7, 111])/32 + (171*f[7, 112])/32 + (33*f[7, 113])/16 + 
       (129*f[7, 114])/32 + (265*f[7, 115])/64 + (9*f[7, 116])/32 - 
       (1601*f[7, 117])/16 + (39*f[7, 118])/64 + (875*f[7, 119])/64 + 
       (243*f[7, 120])/32 - (153*f[7, 121])/32 + (379*f[7, 122])/32 + 
       (119*f[7, 123])/32 - (17*f[7, 124])/2 - (261*f[7, 125])/32 + 
       (21*f[7, 126])/4 + f[7, 135]/4 - (5*f[7, 136])/2 + (77*f[7, 137])/8 + 
       (285*f[7, 138])/32 + f[7, 145] + f[7, 146]/2 + f[7, 147]/2 + 
       (37*f[7, 148])/16 + (207*f[7, 149])/32 + (323*f[7, 150])/48)*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - u] + 
     (f[7, 9] + 3*f[7, 23] - f[7, 28] - 4*f[7, 32] + f[7, 36] - f[7, 37] + 
       8*f[7, 38] + 3*f[7, 39] + f[7, 40] - 4*f[7, 42] - 9*f[7, 43] - 
       10*f[7, 44] - f[7, 45] - 5*f[7, 46] + 3*f[7, 47] + (5*f[7, 48])/4 - 
       8*f[7, 49] + 8*f[7, 50] - (21*f[7, 51])/4 - (4*f[7, 52])/3 + 
       (5*f[7, 53])/2 - (23*f[7, 54])/4 + f[7, 55] - (103*f[7, 56])/8 + 
       (545*f[7, 57])/24 + (350*f[7, 58])/3 - (219*f[7, 59])/8 - 
       (109*f[7, 60])/48 + (167*f[7, 61])/24 - (1727*f[7, 62])/32 - 
       (1727*f[7, 63])/32 + (1727*f[7, 64])/32 - (4405*f[7, 65])/24 + 
       (413*f[7, 66])/2 + (457*f[7, 67])/12 + 401*f[7, 68] + 401*f[7, 69] - 
       (1177*f[7, 70])/12 + (1183*f[7, 71])/12 - (1615*f[7, 72])/4 + 
       (1202*f[7, 73])/3 + 398*f[7, 74] - (327*f[7, 75])/8 - 
       (6545*f[7, 76])/12 + (6479*f[7, 77])/16 - (771*f[7, 78])/4 + 
       (632*f[7, 79])/3 + (271*f[7, 80])/12 + (7037*f[7, 81])/24 - 
       (2683*f[7, 82])/2 - (2599*f[7, 83])/3 - (2291*f[7, 84])/12 + 
       (7785*f[7, 85])/16 + (15035*f[7, 86])/12 + (6739*f[7, 87])/12 - 
       (554*f[7, 88])/3 + (12121*f[7, 89])/96 + (1397*f[7, 90])/16 - 
       (14663*f[7, 91])/24 + (28639*f[7, 92])/48 + (6915*f[7, 93])/16 - 
       (1867*f[7, 94])/16 + (2692*f[7, 95])/3 - (10753*f[7, 96])/48 - 
       (15827*f[7, 97])/48 - (15683*f[7, 98])/48 + (11275*f[7, 99])/32 + 
       (12403*f[7, 100])/4 + (32551*f[7, 101])/96 + (48655*f[7, 102])/96 + 
       (121*f[7, 103])/4 + (29309*f[7, 104])/96 + (4061*f[7, 105])/48 - 
       (20375*f[7, 106])/12 + (42821*f[7, 107])/24 - (47663*f[7, 108])/96 - 
       (33223*f[7, 109])/96 + (11789*f[7, 110])/96 + (35155*f[7, 111])/96 - 
       (58795*f[7, 112])/96 - (21307*f[7, 113])/96 - (12805*f[7, 114])/48 - 
       (5249*f[7, 115])/24 - (6523*f[7, 116])/48 + (227515*f[7, 117])/24 - 
       (709*f[7, 118])/96 - (15209*f[7, 119])/12 - (58519*f[7, 120])/96 + 
       (14735*f[7, 121])/32 - (37143*f[7, 122])/32 - (12119*f[7, 123])/32 + 
       (40301*f[7, 124])/48 + (72103*f[7, 125])/96 - (18793*f[7, 126])/32 + 
       4*f[7, 129] - f[7, 132] + f[7, 134] - (5*f[7, 135])/4 + 
       (373*f[7, 136])/6 - (4447*f[7, 137])/12 - (5619*f[7, 138])/16 + 
       2*f[7, 144] + 6*f[7, 145] + (323*f[7, 146])/3 + (269*f[7, 147])/24 + 
       (3819*f[7, 148])/8 + (54101*f[7, 149])/48 + (3087*f[7, 150])/4)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (2*f[7, 44] + f[7, 47]/2 + (15*f[7, 56])/8 + (23*f[7, 57])/16 - 
       (3*f[7, 58])/2 - (59*f[7, 59])/12 + (29*f[7, 60])/32 + 
       (83*f[7, 61])/16 + (155*f[7, 62])/96 + (155*f[7, 63])/96 - 
       (155*f[7, 64])/96 + (123*f[7, 65])/16 - (51*f[7, 66])/8 - 
       (39*f[7, 67])/16 - (51*f[7, 68])/4 - (51*f[7, 69])/4 + 
       (51*f[7, 70])/16 - (51*f[7, 71])/16 + (51*f[7, 72])/4 - 
       (51*f[7, 73])/4 - (51*f[7, 74])/4 - (77*f[7, 75])/48 + 
       (675*f[7, 76])/32 - (387*f[7, 77])/32 + (51*f[7, 78])/8 - 
       (307*f[7, 79])/48 - (47*f[7, 80])/24 - (29*f[7, 81])/4 + 
       (1049*f[7, 82])/24 + (65*f[7, 83])/2 + (277*f[7, 84])/48 - 
       (1607*f[7, 85])/96 - (2059*f[7, 86])/48 - (943*f[7, 87])/48 + 
       (233*f[7, 88])/48 - (371*f[7, 89])/96 - (113*f[7, 90])/96 - 
       (16*f[7, 91])/3 - (277*f[7, 92])/16 - (1517*f[7, 93])/96 - 
       (47*f[7, 94])/16 - (431*f[7, 95])/16 + (21*f[7, 96])/4 + 
       (383*f[7, 97])/24 + (383*f[7, 98])/24 - (1321*f[7, 99])/96 - 
       (2083*f[7, 100])/24 - (857*f[7, 101])/96 - (905*f[7, 102])/96 - 
       (151*f[7, 103])/48 - (289*f[7, 104])/96 - (113*f[7, 105])/24 + 
       (1225*f[7, 106])/24 - (1163*f[7, 107])/24 + (1517*f[7, 108])/96 + 
       (403*f[7, 109])/32 - (61*f[7, 110])/16 - (1325*f[7, 111])/96 + 
       (591*f[7, 112])/32 + (389*f[7, 113])/96 + (61*f[7, 114])/6 + 
       (481*f[7, 115])/96 + (37*f[7, 116])/12 - (1717*f[7, 117])/6 - 
       (47*f[7, 118])/12 + (3653*f[7, 119])/96 + (749*f[7, 120])/32 - 
       (377*f[7, 121])/32 + (3007*f[7, 122])/96 + (365*f[7, 123])/32 - 
       (367*f[7, 124])/16 - (1765*f[7, 125])/96 + (1559*f[7, 126])/96 + 
       f[7, 132] - f[7, 135]/2 - (9*f[7, 136])/2 + (47*f[7, 137])/8 + 
       (273*f[7, 138])/32 + 5*f[7, 146] + (25*f[7, 147])/4 - 
       (119*f[7, 148])/8 - (1825*f[7, 149])/32 - (1055*f[7, 150])/48)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (3*f[7, 21] + (3*f[7, 47])/4 - 3*f[7, 50] + (3*f[7, 52])/2 - 
       3*f[7, 53] - (27*f[7, 55])/4 - (3*f[7, 56])/16 - (99*f[7, 57])/32 - 
       12*f[7, 58] + (11*f[7, 59])/8 - (57*f[7, 60])/64 - (15*f[7, 61])/32 + 
       (29*f[7, 62])/8 + (29*f[7, 63])/8 - (29*f[7, 64])/8 - 
       (543*f[7, 65])/32 + (267*f[7, 66])/16 + (507*f[7, 67])/32 + 
       (351*f[7, 68])/8 + (339*f[7, 69])/8 - (315*f[7, 70])/32 + 
       (315*f[7, 71])/32 - (375*f[7, 72])/8 + (339*f[7, 73])/8 + 
       (351*f[7, 74])/8 + (901*f[7, 75])/64 - (4215*f[7, 76])/64 + 
       (2319*f[7, 77])/64 - (339*f[7, 78])/16 + (863*f[7, 79])/64 + 
       (335*f[7, 80])/64 - (1461*f[7, 81])/16 - (659*f[7, 82])/4 - 
       (519*f[7, 83])/8 - (971*f[7, 84])/64 + (2137*f[7, 85])/32 + 
       (10679*f[7, 86])/64 + (5111*f[7, 87])/64 - (1075*f[7, 88])/64 + 
       (59*f[7, 89])/16 - (13*f[7, 90])/4 + (341*f[7, 91])/16 + 
       (4125*f[7, 92])/64 + (239*f[7, 93])/4 + (2433*f[7, 94])/64 + 
       (6531*f[7, 95])/64 + (51*f[7, 96])/32 - (1387*f[7, 97])/32 - 
       (1387*f[7, 98])/32 + (2959*f[7, 99])/64 + (3907*f[7, 100])/16 + 
       (703*f[7, 101])/32 - (31*f[7, 102])/64 + (281*f[7, 103])/16 - 
       (383*f[7, 104])/16 + (1403*f[7, 105])/64 - 115*f[7, 106] + 
       134*f[7, 107] - (781*f[7, 108])/32 + (69*f[7, 109])/32 + 
       (195*f[7, 110])/16 + (1037*f[7, 111])/16 - (2517*f[7, 112])/32 - 
       (41*f[7, 113])/64 - (643*f[7, 114])/64 + (247*f[7, 115])/8 - 
       (2051*f[7, 116])/64 + (11827*f[7, 117])/16 + (845*f[7, 118])/32 - 
       (5705*f[7, 119])/64 - (1629*f[7, 120])/32 + (807*f[7, 121])/32 - 
       (2603*f[7, 122])/32 - (1077*f[7, 123])/32 + (471*f[7, 124])/8 + 
       (469*f[7, 125])/16 - (3677*f[7, 126])/64 - (3*f[7, 135])/8 - 
       (57*f[7, 136])/8 - (1299*f[7, 137])/16 - (4839*f[7, 138])/64 - 
       3*f[7, 145] - (21*f[7, 146])/2 - (45*f[7, 147])/8 + 
       (315*f[7, 148])/32 + (1281*f[7, 149])/64 - (561*f[7, 150])/32)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     ((-3*f[7, 13])/2 - (3*f[7, 21])/2 + (3*f[7, 55])/8 - (3*f[7, 70])/8 + 
       (3*f[7, 71])/8 + (9*f[7, 75])/128 - (81*f[7, 79])/128 - 
       (81*f[7, 80])/128 - (33*f[7, 81])/32 + (147*f[7, 82])/32 + 
       3*f[7, 83] + (81*f[7, 84])/128 - (141*f[7, 85])/128 - 
       (297*f[7, 86])/128 - (177*f[7, 87])/128 + (81*f[7, 88])/128 - 
       (81*f[7, 90])/128 + (33*f[7, 91])/8 - (297*f[7, 92])/128 - 
       (249*f[7, 93])/128 + (81*f[7, 94])/128 - (225*f[7, 95])/128 - 
       (153*f[7, 99])/128 - (171*f[7, 102])/128 - (81*f[7, 104])/64 - 
       (81*f[7, 105])/128 + (81*f[7, 106])/16 - (21*f[7, 107])/8 + 
       (81*f[7, 108])/64 + (81*f[7, 109])/64 - (153*f[7, 110])/128 - 
       (3*f[7, 111])/4 + (105*f[7, 112])/64 - (81*f[7, 113])/128 + 
       (81*f[7, 114])/128 + (147*f[7, 115])/128 + (81*f[7, 116])/128 - 
       (81*f[7, 117])/8 + (81*f[7, 118])/128 + (81*f[7, 119])/64 + 
       (81*f[7, 120])/64 - (81*f[7, 121])/64 + (243*f[7, 122])/64 + 
       (81*f[7, 123])/64 - (81*f[7, 124])/32 - (81*f[7, 125])/32 + 
       (243*f[7, 126])/128 - (3*f[7, 135])/8 + (15*f[7, 136])/8 - 
       (93*f[7, 137])/8 - (789*f[7, 138])/64 - (3*f[7, 145])/2 - 
       (9*f[7, 146])/2 - (39*f[7, 147])/16 - (507*f[7, 148])/32 - 
       (1125*f[7, 149])/32 - (983*f[7, 150])/32)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1, 1, 1}, 1 - u] + (2*f[7, 14] + 4*f[7, 31] - 3*f[7, 32] - 
       8*f[7, 33] - (9*f[7, 37])/2 - (3*f[7, 39])/2 + (3*f[7, 42])/2 - 
       (13*f[7, 43])/2 - 8*f[7, 44] - (11*f[7, 47])/8 - (9*f[7, 48])/8 + 
       (37*f[7, 50])/8 - (27*f[7, 51])/8 + (3*f[7, 53])/8 - (27*f[7, 54])/4 + 
       (11*f[7, 55])/8 - (79*f[7, 56])/32 + (1017*f[7, 57])/64 + 
       37*f[7, 58] - (95*f[7, 59])/4 + (139*f[7, 60])/128 + 
       (493*f[7, 61])/64 - (325*f[7, 62])/32 - (325*f[7, 63])/32 + 
       (325*f[7, 64])/32 - (3927*f[7, 65])/64 + (2141*f[7, 66])/32 + 
       (773*f[7, 67])/64 + (2111*f[7, 68])/16 + (2117*f[7, 69])/16 - 
       (2129*f[7, 70])/64 + (2129*f[7, 71])/64 - (1057*f[7, 72])/8 + 
       (1057*f[7, 73])/8 + (499*f[7, 74])/4 - (1973*f[7, 75])/128 - 
       (23165*f[7, 76])/128 + (17423*f[7, 77])/128 - (2117*f[7, 78])/32 + 
       (8595*f[7, 79])/128 + (131*f[7, 80])/128 + (3623*f[7, 81])/32 - 
       (1713*f[7, 82])/4 - (1089*f[7, 83])/4 - (8111*f[7, 84])/128 + 
       (2515*f[7, 85])/16 + (52965*f[7, 86])/128 + (23773*f[7, 87])/128 - 
       (7975*f[7, 88])/128 + (1231*f[7, 89])/32 + (899*f[7, 90])/32 - 
       (4767*f[7, 91])/32 + (24449*f[7, 92])/128 + (8815*f[7, 93])/64 - 
       (2733*f[7, 94])/128 + (38063*f[7, 95])/128 - (4235*f[7, 96])/64 - 
       (7493*f[7, 97])/64 - (7493*f[7, 98])/64 + (14265*f[7, 99])/128 + 
       (32149*f[7, 100])/32 + (1777*f[7, 101])/16 + (20391*f[7, 102])/128 + 
       (1105*f[7, 103])/64 + (5731*f[7, 104])/64 + (4487*f[7, 105])/128 - 
       (8617*f[7, 106])/16 + (2301*f[7, 107])/4 - (9387*f[7, 108])/64 - 
       (6063*f[7, 109])/64 + (2525*f[7, 110])/64 + (967*f[7, 111])/8 - 
       (6701*f[7, 112])/32 - (10253*f[7, 113])/128 - (9103*f[7, 114])/128 - 
       (957*f[7, 115])/16 - (7215*f[7, 116])/128 + (97087*f[7, 117])/32 + 
       (63*f[7, 118])/4 - (52059*f[7, 119])/128 - (12485*f[7, 120])/64 + 
       (9969*f[7, 121])/64 - (25019*f[7, 122])/64 - (7839*f[7, 123])/64 + 
       (1111*f[7, 124])/4 + (4001*f[7, 125])/16 - (26125*f[7, 126])/128 + 
       (97*f[7, 136])/8 - (1489*f[7, 137])/16 - (2775*f[7, 138])/32 + 
       56*f[7, 146] + (135*f[7, 147])/16 + (12809*f[7, 148])/64 + 
       (28935*f[7, 149])/64 + (20679*f[7, 150])/64)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + ((-3*f[7, 26])/5 - (9*f[7, 27])/10 + 
       (3*f[7, 28])/10 + (3*f[7, 30])/8 - (31*f[7, 31])/10 + (3*f[7, 32])/5 - 
       (6*f[7, 33])/5 - (3*f[7, 35])/5 - (3*f[7, 36])/10 + (3*f[7, 37])/80 - 
       (12*f[7, 38])/5 - (3*f[7, 39])/10 - (9*f[7, 40])/10 + 
       (3*f[7, 41])/20 + (3*f[7, 42])/20 + (9*f[7, 43])/10 + (9*f[7, 44])/5 - 
       (9*f[7, 45])/20 + (21*f[7, 46])/20 - (3*f[7, 47])/20 - 
       (9*f[7, 48])/10 + (249*f[7, 49])/160 - (11*f[7, 50])/4 - 
       (57*f[7, 51])/160 + (9*f[7, 52])/8 - (183*f[7, 53])/80 - 
       (9*f[7, 54])/16 + (9*f[7, 55])/4 + (2523*f[7, 56])/640 + 
       (183*f[7, 57])/256 - (693*f[7, 58])/80 - (113*f[7, 59])/160 + 
       (11049*f[7, 60])/2560 + (2163*f[7, 61])/256 + (199*f[7, 62])/160 + 
       (199*f[7, 63])/160 - (199*f[7, 64])/160 + (46527*f[7, 65])/1280 - 
       (21099*f[7, 66])/640 - (17499*f[7, 67])/1280 - (17907*f[7, 68])/320 - 
       (18339*f[7, 69])/320 + (15963*f[7, 70])/1280 - (3231*f[7, 71])/256 + 
       (18531*f[7, 72])/320 - (17529*f[7, 73])/320 - (17979*f[7, 74])/320 - 
       (3713*f[7, 75])/640 + (39279*f[7, 76])/512 - (119631*f[7, 77])/2560 + 
       (3303*f[7, 78])/128 - (5143*f[7, 79])/160 - (3131*f[7, 80])/320 - 
       (2739*f[7, 81])/64 + (135631*f[7, 82])/640 + (10593*f[7, 83])/64 + 
       (16423*f[7, 84])/640 - (197071*f[7, 85])/2560 - (30043*f[7, 86])/160 - 
       (14083*f[7, 87])/160 + (2953*f[7, 88])/128 - (10963*f[7, 89])/640 - 
       (24409*f[7, 90])/2560 + (4355*f[7, 91])/128 - (112209*f[7, 92])/1280 - 
       (201229*f[7, 93])/2560 + (1791*f[7, 94])/640 - (78279*f[7, 95])/640 + 
       (15417*f[7, 96])/1280 + (15403*f[7, 97])/256 + (75671*f[7, 98])/1280 - 
       (3239*f[7, 99])/64 - (45055*f[7, 100])/128 - (42947*f[7, 101])/1280 - 
       (19601*f[7, 102])/320 - (9631*f[7, 103])/640 - (8237*f[7, 104])/256 - 
       (21367*f[7, 105])/640 + (36233*f[7, 106])/160 - 
       (29473*f[7, 107])/160 + (7199*f[7, 108])/128 + (3783*f[7, 109])/80 - 
       (74961*f[7, 110])/2560 - (44359*f[7, 111])/640 + 
       (56433*f[7, 112])/640 + (403*f[7, 113])/40 + (22307*f[7, 114])/640 + 
       (47183*f[7, 115])/2560 + (2615*f[7, 116])/128 - 
       (751727*f[7, 117])/640 - (37721*f[7, 118])/2560 + 
       (382603*f[7, 119])/2560 + (2727*f[7, 120])/32 - 
       (14733*f[7, 121])/320 + (85607*f[7, 122])/640 + 
       (28113*f[7, 123])/640 - (57459*f[7, 124])/640 - 
       (20761*f[7, 125])/320 + (1433*f[7, 126])/20 + (3*f[7, 132])/10 - 
       (3*f[7, 134])/10 - (3*f[7, 135])/20 - (363*f[7, 136])/80 + 
       (17811*f[7, 137])/320 + (57951*f[7, 138])/1280 + (3*f[7, 144])/5 - 
       (801*f[7, 146])/80 - (177*f[7, 147])/80 - (2313*f[7, 148])/40 - 
       (189963*f[7, 149])/1280 - (42601*f[7, 150])/640)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1, 1, 1}, 1 - v] + (3*f[7, 6] + 2*f[7, 13] + (8*f[7, 26])/5 - 
       (8*f[7, 27])/5 - (4*f[7, 28])/5 + f[7, 30]/2 + (8*f[7, 31])/5 - 
       (18*f[7, 32])/5 - (24*f[7, 33])/5 + (18*f[7, 35])/5 + 
       (23*f[7, 36])/10 + f[7, 37]/40 + (32*f[7, 38])/5 - (16*f[7, 39])/5 + 
       (22*f[7, 40])/5 - (2*f[7, 41])/5 - (2*f[7, 42])/5 - (42*f[7, 43])/5 - 
       (74*f[7, 44])/5 - (53*f[7, 45])/10 - (53*f[7, 46])/10 + 
       (3*f[7, 47])/20 - (41*f[7, 48])/10 - (717*f[7, 49])/80 + 
       (3*f[7, 50])/2 - (179*f[7, 51])/80 - (9*f[7, 52])/4 + 
       (59*f[7, 53])/40 - (21*f[7, 54])/8 - (61*f[7, 55])/4 - 
       (4109*f[7, 56])/320 + (751*f[7, 57])/128 + (1779*f[7, 58])/40 - 
       (2069*f[7, 59])/120 - (21887*f[7, 60])/1280 - (1749*f[7, 61])/128 - 
       (20663*f[7, 62])/1920 - (20663*f[7, 63])/1920 + 
       (20663*f[7, 64])/1920 - (37801*f[7, 65])/640 + (16117*f[7, 66])/320 + 
       (4517*f[7, 67])/640 + (17301*f[7, 68])/160 + (16557*f[7, 69])/160 - 
       (12549*f[7, 70])/640 + (2465*f[7, 71])/128 - (17693*f[7, 72])/160 + 
       (15027*f[7, 73])/160 + (16717*f[7, 74])/160 - (19691*f[7, 75])/1920 - 
       (36289*f[7, 76])/256 + (96673*f[7, 77])/1280 - (3129*f[7, 78])/64 + 
       (152921*f[7, 79])/1920 + (39641*f[7, 80])/1920 + (4237*f[7, 81])/16 - 
       (405349*f[7, 82])/960 - (13181*f[7, 83])/32 - (105719*f[7, 84])/1920 + 
       (531829*f[7, 85])/3840 + (630581*f[7, 86])/1920 + 
       (287981*f[7, 87])/1920 - (17783*f[7, 88])/384 + 
       (54749*f[7, 89])/1920 + (113311*f[7, 90])/3840 - 
       (32341*f[7, 91])/192 + (56471*f[7, 92])/320 + (649231*f[7, 93])/3840 - 
       (35031*f[7, 94])/640 + (144589*f[7, 95])/640 - (16921*f[7, 96])/640 - 
       (50041*f[7, 97])/384 - (242909*f[7, 98])/1920 + (1955*f[7, 99])/24 + 
       (108667*f[7, 100])/192 + (2839*f[7, 101])/60 + (5519*f[7, 102])/30 + 
       (30469*f[7, 103])/960 + (26641*f[7, 104])/192 + 
       (133961*f[7, 105])/1920 - (256129*f[7, 106])/480 + 
       (144209*f[7, 107])/480 - (48673*f[7, 108])/384 - 
       (75629*f[7, 109])/640 + (69623*f[7, 110])/1280 + 
       (213647*f[7, 111])/1920 - (103203*f[7, 112])/640 - 
       (38407*f[7, 113])/960 - (158941*f[7, 114])/1920 - 
       (307337*f[7, 115])/3840 - (16045*f[7, 116])/384 + 
       (2128913*f[7, 117])/960 + (55109*f[7, 118])/3840 - 
       (1009567*f[7, 119])/3840 - (21387*f[7, 120])/128 + 
       (67631*f[7, 121])/640 - (575251*f[7, 122])/1920 - 
       (51313*f[7, 123])/640 + (7479*f[7, 124])/40 + (300061*f[7, 125])/
        1920 - (75347*f[7, 126])/480 - (21*f[7, 129])/2 - (23*f[7, 132])/10 + 
       (23*f[7, 134])/10 - (37*f[7, 135])/20 + (1099*f[7, 136])/40 - 
       (52953*f[7, 137])/160 - (157493*f[7, 138])/640 + 6*f[7, 140] + 
       (67*f[7, 144])/5 - (17*f[7, 145])/2 + (1043*f[7, 146])/40 + 
       (557*f[7, 147])/80 - (14693*f[7, 148])/160 - (207091*f[7, 149])/640 - 
       (93361*f[7, 150])/960)*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v] - 
     4*f[7, 78]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u] - 
     2*f[7, 78]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     ((9*f[7, 78])/2 + 3*f[7, 132] + 3*f[7, 149])*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1, 1}, 1 - u] + ((3*f[7, 78])/2 + f[7, 132] + f[7, 149])*
      HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u] + 
     (11*f[7, 78] - 11*f[7, 149])*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 
       1 - u] + ((-42*f[7, 26])/5 - (18*f[7, 27])/5 + (6*f[7, 28])/5 + 
       6*f[7, 30] - (87*f[7, 31])/5 + (12*f[7, 32])/5 - (39*f[7, 33])/5 - 
       (12*f[7, 35])/5 - (6*f[7, 36])/5 - (21*f[7, 37])/10 - 
       (108*f[7, 38])/5 - (6*f[7, 39])/5 - (18*f[7, 40])/5 + (3*f[7, 41])/5 + 
       (3*f[7, 42])/5 + (18*f[7, 43])/5 + (36*f[7, 44])/5 + (96*f[7, 45])/5 + 
       (126*f[7, 46])/5 - (18*f[7, 47])/5 + (42*f[7, 48])/5 - 
       (3*f[7, 49])/20 - (69*f[7, 50])/4 + (219*f[7, 51])/20 + 3*f[7, 52] - 
       (153*f[7, 53])/20 + (33*f[7, 54])/2 + (9*f[7, 55])/4 + 
       (2499*f[7, 56])/80 + (495*f[7, 57])/32 - (369*f[7, 58])/10 + 
       (151*f[7, 59])/20 + (3537*f[7, 60])/320 + (1419*f[7, 61])/32 + 
       (4003*f[7, 62])/80 + (4003*f[7, 63])/80 - (4003*f[7, 64])/80 + 
       (36611*f[7, 65])/160 - (18157*f[7, 66])/80 - (13117*f[7, 67])/160 - 
       (18691*f[7, 68])/40 - (18037*f[7, 69])/40 + (16069*f[7, 70])/160 - 
       (3233*f[7, 71])/32 + (8969*f[7, 72])/20 - (4453*f[7, 73])/10 - 
       (9011*f[7, 74])/20 - (6281*f[7, 75])/320 + (38841*f[7, 76])/64 - 
       (125603*f[7, 77])/320 + (3689*f[7, 78])/16 - (73619*f[7, 79])/320 - 
       (25799*f[7, 80])/320 - (1125*f[7, 81])/16 + (69479*f[7, 82])/40 + 
       (8863*f[7, 83])/8 + (64991*f[7, 84])/320 - (103789*f[7, 85])/160 - 
       (476199*f[7, 86])/320 - (213179*f[7, 87])/320 + (12171*f[7, 88])/64 - 
       (10099*f[7, 89])/80 - (1427*f[7, 90])/20 + (7051*f[7, 91])/16 - 
       (230239*f[7, 92])/320 - (23439*f[7, 93])/40 - (7943*f[7, 94])/320 - 
       (328803*f[7, 95])/320 + (27191*f[7, 96])/160 + (14697*f[7, 97])/32 + 
       (70893*f[7, 98])/160 - (27491*f[7, 99])/64 - (47901*f[7, 100])/16 - 
       (5657*f[7, 101])/20 - (136549*f[7, 102])/320 - (16921*f[7, 103])/160 - 
       (5839*f[7, 104])/32 - (48839*f[7, 105])/320 + (72563*f[7, 106])/40 - 
       (16607*f[7, 107])/10 + (15831*f[7, 108])/32 + (57879*f[7, 109])/160 - 
       (997*f[7, 110])/5 - (43307*f[7, 111])/80 + (114313*f[7, 112])/160 + 
       (34161*f[7, 113])/320 + (91239*f[7, 114])/320 + (9791*f[7, 115])/80 + 
       (10067*f[7, 116])/64 - (776891*f[7, 117])/80 - (1483*f[7, 118])/20 + 
       (391279*f[7, 119])/320 + (21121*f[7, 120])/32 - 
       (65941*f[7, 121])/160 + (176727*f[7, 122])/160 + 
       (63163*f[7, 123])/160 - (4072*f[7, 124])/5 - (12239*f[7, 125])/20 + 
       (185637*f[7, 126])/320 + (6*f[7, 132])/5 - (6*f[7, 134])/5 + 
       (27*f[7, 135])/5 - (72*f[7, 136])/5 + (19573*f[7, 137])/40 + 
       (60803*f[7, 138])/160 + (12*f[7, 144])/5 + 12*f[7, 145] - 
       (333*f[7, 146])/10 + (1251*f[7, 147])/40 - (9611*f[7, 148])/20 - 
       (198959*f[7, 149])/160 - (12247*f[7, 150])/20)*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1}, 1 - v] + (-f[7, 128]/6 + (5*f[7, 130])/18 + 
       (10*f[7, 131])/9 - (7*f[7, 141])/12 + (11*f[7, 142])/18 + 
       (37*f[7, 143])/48)*HPL[{1}, 1 - u]^4*SPw2f1[u, v] + 
     ((25*f[7, 12])/72 - (5*f[7, 16])/18 + (5*f[7, 17])/18 + f[7, 19]/8 + 
       (13*f[7, 20])/72 + f[7, 128]/3 - (5*f[7, 130])/9 + (5*f[7, 131])/18 - 
       (11*f[7, 141])/12 - (11*f[7, 142])/18 + (5*f[7, 143])/24)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*SPw2f1[u, v] + 
     (-f[7, 19]/24 - f[7, 20]/12 - f[7, 131]/6 + f[7, 142]/2 + 
       (2*f[7, 143])/3)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*SPw2f1[u, v] + 
     (-f[7, 19]/48 - f[7, 20]/24 - f[7, 131]/6 + f[7, 142]/4 + 
       (7*f[7, 143])/16)*HPL[{1}, 1 - v]^4*SPw2f1[u, v] + 
     ((3*f[7, 132])/20 - (3*f[7, 134])/20 + (27*f[7, 135])/40 - 
       (499*f[7, 136])/80 + (1121*f[7, 137])/40 + (7287*f[7, 138])/320 - 
       (3*f[7, 144])/10 - (3*f[7, 145])/2 + (559*f[7, 146])/40 + 
       (747*f[7, 147])/160 + (2393*f[7, 148])/80 + (18591*f[7, 149])/320 + 
       (3521*f[7, 150])/80)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      SPw2f1[u, v] + (3*f[7, 136] + (235*f[7, 137])/8 + (559*f[7, 138])/32 - 
       2*f[7, 145] - (5*f[7, 146])/2 - f[7, 147]/16 + (729*f[7, 148])/32 + 
       (627*f[7, 149])/8 + (89*f[7, 150])/48)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*SPw2f1[u, v] + (-f[7, 129] + f[7, 134]/2 - 
       f[7, 135]/4 + (23*f[7, 136])/2 - (821*f[7, 137])/8 - 
       (3061*f[7, 138])/32 - (49*f[7, 146])/2 - 5*f[7, 147] - 
       (1857*f[7, 148])/16 - (8689*f[7, 149])/32 - (8035*f[7, 150])/48)*
      HPL[{0, 1}, 1 - u]^2*SPw2f1[u, v] + 
     (-f[7, 26] - f[7, 27] - f[7, 31] - f[7, 33] - f[7, 35] - f[7, 40] - 
       f[7, 47]/2 + f[7, 49]/2 + (7*f[7, 50])/8 - f[7, 51]/2 + 
       (3*f[7, 52])/2 - (9*f[7, 53])/8 - f[7, 54] + (47*f[7, 55])/8 + 
       (23*f[7, 56])/8 + (115*f[7, 57])/16 + (11*f[7, 58])/2 - 
       (13*f[7, 59])/3 + (161*f[7, 60])/32 + (191*f[7, 61])/16 - 
       (551*f[7, 62])/96 - (551*f[7, 63])/96 + (551*f[7, 64])/96 + 
       (61*f[7, 65])/4 - (117*f[7, 66])/16 - (285*f[7, 67])/32 - 
       (57*f[7, 68])/4 - (113*f[7, 69])/8 + (33*f[7, 70])/32 - 
       (33*f[7, 71])/32 + (257*f[7, 72])/16 - (181*f[7, 73])/16 - 
       (225*f[7, 74])/16 - (4625*f[7, 75])/384 + (1501*f[7, 76])/64 + 
       (3*f[7, 77])/4 + (123*f[7, 78])/16 - (5035*f[7, 79])/384 - 
       (3655*f[7, 80])/384 - (645*f[7, 81])/32 + (6991*f[7, 82])/96 + 
       (307*f[7, 83])/4 + (1627*f[7, 84])/384 - (10003*f[7, 85])/384 - 
       (24235*f[7, 86])/384 - (13255*f[7, 87])/384 + (1211*f[7, 88])/384 - 
       (41*f[7, 89])/48 + (1181*f[7, 90])/384 - (359*f[7, 91])/12 - 
       (3835*f[7, 92])/128 - (13171*f[7, 93])/384 - (1817*f[7, 94])/128 - 
       (3469*f[7, 95])/128 - (593*f[7, 96])/32 + (3181*f[7, 97])/96 + 
       (3181*f[7, 98])/96 - (4139*f[7, 99])/384 + (983*f[7, 100])/48 + 
       (1843*f[7, 101])/192 - (1345*f[7, 102])/384 - (3227*f[7, 103])/192 + 
       (7*f[7, 104])/96 - (11731*f[7, 105])/384 + (2437*f[7, 106])/48 + 
       (959*f[7, 107])/24 + (737*f[7, 108])/192 + (489*f[7, 109])/64 - 
       (2173*f[7, 110])/128 - (727*f[7, 111])/24 + (1503*f[7, 112])/64 - 
       (6431*f[7, 113])/384 + (3203*f[7, 114])/384 - (2551*f[7, 115])/384 + 
       (4363*f[7, 116])/384 - (611*f[7, 117])/6 - (7835*f[7, 118])/384 + 
       (13*f[7, 119])/6 + (1339*f[7, 120])/64 + (585*f[7, 121])/64 + 
       (805*f[7, 122])/192 + (111*f[7, 123])/64 + (245*f[7, 124])/32 + 
       (607*f[7, 125])/24 + (4165*f[7, 126])/384 - f[7, 132]/10 + 
       f[7, 134]/10 - (9*f[7, 135])/20 + (373*f[7, 136])/40 + 
       (377*f[7, 137])/80 - (1243*f[7, 138])/320 + f[7, 144]/5 + 
       (3*f[7, 145])/2 - (223*f[7, 146])/20 - (267*f[7, 147])/40 - 
       (3469*f[7, 148])/160 - (19419*f[7, 149])/320 - (2833*f[7, 150])/160)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*SPw2f1[u, v] + 
     ((4*f[7, 26])/5 + (6*f[7, 27])/5 - (2*f[7, 28])/5 - f[7, 30]/2 + 
       (4*f[7, 31])/5 + f[7, 32]/5 - (12*f[7, 33])/5 + (4*f[7, 35])/5 + 
       (2*f[7, 36])/5 - f[7, 37]/20 + (16*f[7, 38])/5 + (12*f[7, 39])/5 + 
       (6*f[7, 40])/5 - (9*f[7, 41])/20 - (9*f[7, 42])/20 - f[7, 43]/5 - 
       (2*f[7, 44])/5 + (3*f[7, 45])/5 - (7*f[7, 46])/5 + (9*f[7, 47])/20 + 
       (83*f[7, 48])/40 - (93*f[7, 49])/40 - f[7, 50] + (19*f[7, 51])/40 - 
       (3*f[7, 52])/2 + (21*f[7, 53])/20 + (3*f[7, 54])/4 - 5*f[7, 55] - 
       (353*f[7, 56])/80 - (343*f[7, 57])/32 - (49*f[7, 58])/20 + 
       (277*f[7, 59])/30 - (1609*f[7, 60])/320 - (491*f[7, 61])/32 + 
       (2963*f[7, 62])/960 + (2963*f[7, 63])/960 - (2963*f[7, 64])/960 - 
       (5107*f[7, 65])/160 + (2029*f[7, 66])/80 + (2549*f[7, 67])/160 + 
       (1897*f[7, 68])/40 + (1889*f[7, 69])/40 - (1333*f[7, 70])/160 + 
       (273*f[7, 71])/32 - (1971*f[7, 72])/40 + (897*f[7, 73])/20 + 
       (1909*f[7, 74])/40 + (9971*f[7, 75])/960 - (4413*f[7, 76])/64 + 
       (8831*f[7, 77])/320 - (317*f[7, 78])/16 + (29539*f[7, 79])/960 + 
       (17659*f[7, 80])/960 + (485*f[7, 81])/16 - (3058*f[7, 82])/15 - 
       (1347*f[7, 83])/8 - (21271*f[7, 84])/960 + (35459*f[7, 85])/480 + 
       (164269*f[7, 86])/960 + (81109*f[7, 87])/960 - (3979*f[7, 88])/192 + 
       (10621*f[7, 89])/960 + (4481*f[7, 90])/480 + (529*f[7, 91])/24 + 
       (26023*f[7, 92])/320 + (38861*f[7, 93])/480 + (6301*f[7, 94])/320 + 
       (32621*f[7, 95])/320 + (47*f[7, 96])/40 - (3281*f[7, 97])/48 - 
       (16069*f[7, 98])/240 + (4523*f[7, 99])/96 + (10075*f[7, 100])/48 + 
       (12067*f[7, 101])/960 + (1729*f[7, 102])/60 + (10091*f[7, 103])/480 + 
       (2161*f[7, 104])/192 + (41029*f[7, 105])/960 - (48671*f[7, 106])/240 + 
       (22741*f[7, 107])/240 - (9161*f[7, 108])/192 - (14251*f[7, 109])/320 + 
       (9991*f[7, 110])/320 + (65923*f[7, 111])/960 - (25717*f[7, 112])/320 + 
       (3701*f[7, 113])/240 - (30989*f[7, 114])/960 - (6217*f[7, 115])/480 - 
       (4301*f[7, 116])/192 + (104623*f[7, 117])/120 + 
       (24263*f[7, 118])/960 - (98059*f[7, 119])/960 - (5281*f[7, 120])/64 + 
       (9369*f[7, 121])/320 - (100559*f[7, 122])/960 - 
       (12617*f[7, 123])/320 + (10993*f[7, 124])/160 + 
       (34559*f[7, 125])/960 - (14593*f[7, 126])/240 + f[7, 129] - 
       (4*f[7, 132])/5 + (4*f[7, 134])/5 - f[7, 135]/10 + (113*f[7, 136])/5 - 
       (889*f[7, 137])/5 - (12331*f[7, 138])/80 - 52*f[7, 146] - 
       17*f[7, 147] - (1791*f[7, 148])/16 - (891*f[7, 149])/4 - 
       (4607*f[7, 150])/24)*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      SPw2f1[u, v] + (f[7, 133] - f[7, 134] - (3*f[7, 135])/4 + 
       (23*f[7, 136])/2 + (685*f[7, 137])/8 + (2469*f[7, 138])/32 - 
       4*f[7, 145] - (51*f[7, 146])/2 - (183*f[7, 147])/8 + 
       (339*f[7, 148])/4 + (7149*f[7, 149])/32 + (475*f[7, 150])/12)*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*SPw2f1[u, v] + 
     (f[7, 35] + f[7, 40] - f[7, 49]/2 + f[7, 51]/2 - (5*f[7, 52])/2 + 
       f[7, 54] - 4*f[7, 55] - (11*f[7, 56])/4 - (41*f[7, 57])/8 + 
       (5*f[7, 58])/2 + (41*f[7, 59])/12 - (71*f[7, 60])/16 - 
       (93*f[7, 61])/8 + (217*f[7, 62])/96 + (217*f[7, 63])/96 - 
       (217*f[7, 64])/96 - (35*f[7, 65])/8 - (7*f[7, 66])/2 - 
       (3*f[7, 67])/2 - 9*f[7, 68] - 9*f[7, 69] + (9*f[7, 70])/2 - 
       (9*f[7, 71])/2 + 9*f[7, 72] - (43*f[7, 73])/4 - 9*f[7, 74] + 
       (263*f[7, 75])/48 + (191*f[7, 76])/16 - (387*f[7, 77])/16 + 
       (9*f[7, 78])/2 + (16*f[7, 79])/3 + (131*f[7, 80])/24 + 61*f[7, 81] + 
       (67*f[7, 82])/6 - 37*f[7, 83] + (14*f[7, 84])/3 - (29*f[7, 85])/3 - 
       (1229*f[7, 86])/48 - (425*f[7, 87])/48 + (41*f[7, 88])/6 - 
       (97*f[7, 89])/96 - (71*f[7, 90])/48 + (83*f[7, 91])/24 - 
       (39*f[7, 92])/16 + (139*f[7, 93])/48 - (125*f[7, 94])/16 - 
       (219*f[7, 95])/8 + (263*f[7, 96])/16 - (163*f[7, 97])/48 - 
       (19*f[7, 98])/48 - (1319*f[7, 99])/96 - (1909*f[7, 100])/12 - 
       (2371*f[7, 101])/96 + (575*f[7, 102])/96 + (125*f[7, 103])/24 + 
       (1423*f[7, 104])/96 + (721*f[7, 105])/48 + (287*f[7, 106])/24 - 
       (2857*f[7, 107])/24 + (655*f[7, 108])/96 - (331*f[7, 109])/32 + 
       (349*f[7, 110])/32 - (559*f[7, 111])/96 + (679*f[7, 112])/32 + 
       (1321*f[7, 113])/96 - (239*f[7, 114])/48 - (431*f[7, 115])/48 + 
       (395*f[7, 116])/48 - (7655*f[7, 117])/24 + (283*f[7, 118])/96 + 
       (149*f[7, 119])/3 + (231*f[7, 120])/32 - (719*f[7, 121])/32 + 
       (4061*f[7, 122])/96 + (551*f[7, 123])/32 - (639*f[7, 124])/16 - 
       (3839*f[7, 125])/96 + (2131*f[7, 126])/96 - f[7, 133]/2 + 
       f[7, 134]/2 + f[7, 135]/8 - (9*f[7, 136])/4 - (401*f[7, 137])/16 - 
       (873*f[7, 138])/64 + f[7, 145] + (51*f[7, 146])/4 + 
       (237*f[7, 147])/16 - (403*f[7, 148])/8 - (7617*f[7, 149])/64 - 
       (257*f[7, 150])/4)*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
      SPw2f1[u, v] + (-f[7, 11] + 4*f[7, 31] - 12*f[7, 33] + f[7, 34]/2 + 
       2*f[7, 40] - f[7, 45] - f[7, 46] - f[7, 47]/4 - f[7, 48]/4 + 
       f[7, 49]/4 + 5*f[7, 50] - (3*f[7, 51])/8 + f[7, 52] + (7*f[7, 53])/2 - 
       (5*f[7, 54])/8 + (7*f[7, 55])/2 + (3*f[7, 56])/32 + f[7, 57]/64 + 
       (29*f[7, 58])/4 - (29*f[7, 59])/48 + (51*f[7, 60])/128 + 
       (13*f[7, 61])/64 - (587*f[7, 62])/192 - (587*f[7, 63])/192 + 
       (587*f[7, 64])/192 + (757*f[7, 65])/64 - (497*f[7, 66])/32 - 
       (817*f[7, 67])/64 - (577*f[7, 68])/16 - (561*f[7, 69])/16 + 
       (593*f[7, 70])/64 - (593*f[7, 71])/64 + (609*f[7, 72])/16 - 
       (569*f[7, 73])/16 - (577*f[7, 74])/16 - (1847*f[7, 75])/192 + 
       (7029*f[7, 76])/128 - (3869*f[7, 77])/128 + (549*f[7, 78])/32 - 
       (2503*f[7, 79])/192 - (1333*f[7, 80])/192 + (947*f[7, 81])/16 + 
       (13061*f[7, 82])/96 + (1167*f[7, 83])/16 + (2701*f[7, 84])/192 - 
       (20909*f[7, 85])/384 - (25855*f[7, 86])/192 - (12487*f[7, 87])/192 + 
       (2825*f[7, 88])/192 - (787*f[7, 89])/192 - (719*f[7, 90])/384 - 
       (2399*f[7, 91])/96 - (415*f[7, 92])/8 - (19007*f[7, 93])/384 - 
       (1731*f[7, 94])/64 - (5227*f[7, 95])/64 + (37*f[7, 96])/64 + 
       (7009*f[7, 97])/192 + (7201*f[7, 98])/192 - (1865*f[7, 99])/48 - 
       (20935*f[7, 100])/96 - (991*f[7, 101])/48 - (131*f[7, 102])/24 - 
       (523*f[7, 103])/48 + (1235*f[7, 104])/96 - (4255*f[7, 105])/192 + 
       (2749*f[7, 106])/24 - (5551*f[7, 107])/48 + (4807*f[7, 108])/192 + 
       (451*f[7, 109])/64 - (1755*f[7, 110])/128 - (9757*f[7, 111])/192 + 
       (4113*f[7, 112])/64 - (313*f[7, 113])/96 + (2435*f[7, 114])/192 - 
       (6239*f[7, 115])/384 + (4819*f[7, 116])/192 - (62953*f[7, 117])/96 - 
       (7213*f[7, 118])/384 + (31079*f[7, 119])/384 + (3111*f[7, 120])/64 - 
       (1469*f[7, 121])/64 + (14213*f[7, 122])/192 + (1887*f[7, 123])/64 - 
       (835*f[7, 124])/16 - (5531*f[7, 125])/192 + (1187*f[7, 126])/24 + 
       f[7, 133]/2 - f[7, 134]/2 - (5*f[7, 135])/8 + (23*f[7, 136])/4 + 
       (501*f[7, 137])/16 + (1301*f[7, 138])/64 + f[7, 145] + 
       (19*f[7, 146])/4 + (161*f[7, 147])/16 - (97*f[7, 148])/2 - 
       (7229*f[7, 149])/64 - (451*f[7, 150])/6)*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v]*SPw2f1[u, v] + 
     (-f[7, 135]/4 + 4*f[7, 136] + 2*f[7, 137] - (11*f[7, 138])/16 - 
       f[7, 145] - (17*f[7, 146])/2 - (49*f[7, 147])/8 - (5*f[7, 148])/4 + 
       (63*f[7, 149])/8 - (853*f[7, 150])/48)*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*SPw2f1[u, v] + 
     (f[7, 30] + f[7, 35] - 4*f[7, 38] + f[7, 40] + 2*f[7, 46] + f[7, 47]/2 - 
       f[7, 49]/2 - f[7, 50] + f[7, 51]/2 - (3*f[7, 52])/2 + f[7, 53] + 
       f[7, 54] - 4*f[7, 55] - (23*f[7, 56])/8 - (115*f[7, 57])/16 - 
       (11*f[7, 58])/2 + (13*f[7, 59])/3 - (161*f[7, 60])/32 - 
       (191*f[7, 61])/16 + (581*f[7, 62])/96 + (581*f[7, 63])/96 - 
       (581*f[7, 64])/96 - (247*f[7, 65])/16 + (39*f[7, 66])/8 + 
       (123*f[7, 67])/16 + 12*f[7, 68] + (55*f[7, 69])/4 - (35*f[7, 70])/16 + 
       (35*f[7, 71])/16 - (31*f[7, 72])/2 + (43*f[7, 73])/4 + 
       (27*f[7, 74])/2 + (799*f[7, 75])/48 - (889*f[7, 76])/32 + 
       (171*f[7, 77])/32 - (83*f[7, 78])/8 + (223*f[7, 79])/24 + 
       (11*f[7, 80])/3 - 4*f[7, 81] - (1003*f[7, 82])/24 - (217*f[7, 83])/4 - 
       (5*f[7, 84])/12 + (1711*f[7, 85])/96 + (3191*f[7, 86])/48 + 
       (1727*f[7, 87])/48 + (2*f[7, 88])/3 - (113*f[7, 89])/96 - 
       (857*f[7, 90])/96 + (373*f[7, 91])/6 + (273*f[7, 92])/16 + 
       (2539*f[7, 93])/96 + (39*f[7, 94])/2 + 26*f[7, 95] + 18*f[7, 96] - 
       (371*f[7, 97])/12 - (395*f[7, 98])/12 + (713*f[7, 99])/96 - 
       (73*f[7, 100])/24 - (263*f[7, 101])/96 - (425*f[7, 102])/96 + 
       (785*f[7, 103])/48 - (913*f[7, 104])/96 + (1313*f[7, 105])/48 - 
       (455*f[7, 106])/24 - (641*f[7, 107])/24 + (455*f[7, 108])/96 + 
       (269*f[7, 109])/32 + (31*f[7, 110])/4 + (2677*f[7, 111])/96 - 
       (589*f[7, 112])/32 + (881*f[7, 113])/96 - (187*f[7, 114])/48 + 
       (2059*f[7, 115])/96 - (683*f[7, 116])/48 + (223*f[7, 117])/3 + 
       (1279*f[7, 118])/48 - (481*f[7, 119])/96 - (497*f[7, 120])/32 - 
       (547*f[7, 121])/32 + (1369*f[7, 122])/96 + (199*f[7, 123])/32 - 
       (377*f[7, 124])/16 - (3715*f[7, 125])/96 - (553*f[7, 126])/96 - 
       3*f[7, 136] - (55*f[7, 137])/4 - 9*f[7, 138] - 4*f[7, 145] - 
       (5*f[7, 146])/2 - (3*f[7, 147])/4 + (99*f[7, 148])/16 + 
       (387*f[7, 149])/16 - (487*f[7, 150])/12)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*SPw2f1[u, v] + 
     (f[7, 25] + f[7, 29] - 2*f[7, 42] - 2*f[7, 45] - 2*f[7, 46] + f[7, 47] + 
       f[7, 48] + f[7, 49]/2 - 2*f[7, 50] + f[7, 51] + 6*f[7, 52] - 
       3*f[7, 53] + f[7, 54]/2 - 3*f[7, 55] - (7*f[7, 56])/8 - 
       (101*f[7, 57])/16 - 24*f[7, 58] + 6*f[7, 59] - (47*f[7, 60])/32 - 
       (17*f[7, 61])/16 + (35*f[7, 62])/8 + (35*f[7, 63])/8 - 
       (35*f[7, 64])/8 + (31*f[7, 65])/16 - (47*f[7, 66])/8 + 
       (153*f[7, 67])/16 - (7*f[7, 68])/4 - (15*f[7, 69])/4 + 
       (23*f[7, 70])/16 - (23*f[7, 71])/16 + (3*f[7, 72])/4 - 
       (25*f[7, 73])/4 - (11*f[7, 74])/4 + (109*f[7, 75])/8 - 
       (29*f[7, 76])/32 - (71*f[7, 77])/32 + (15*f[7, 78])/8 - 
       (109*f[7, 79])/8 - (7*f[7, 80])/4 - (501*f[7, 81])/4 + 
       (55*f[7, 82])/8 + (147*f[7, 83])/4 + (13*f[7, 84])/2 + 
       (177*f[7, 85])/32 + (47*f[7, 86])/4 + (29*f[7, 87])/4 + 
       (21*f[7, 88])/4 - (17*f[7, 89])/2 - (485*f[7, 90])/32 + 
       (571*f[7, 91])/8 - (243*f[7, 92])/16 + (215*f[7, 93])/32 + 
       (285*f[7, 94])/8 - (3*f[7, 95])/4 + (253*f[7, 96])/16 - 
       (29*f[7, 97])/16 + (3*f[7, 98])/16 + (31*f[7, 99])/8 - 
       (559*f[7, 100])/8 - (131*f[7, 101])/16 - (195*f[7, 102])/4 + 
       (23*f[7, 103])/2 - (799*f[7, 104])/16 - 2*f[7, 105] + 
       (163*f[7, 106])/2 - 27*f[7, 107] + 26*f[7, 108] + (303*f[7, 109])/8 - 
       (473*f[7, 110])/32 + (65*f[7, 111])/4 - (33*f[7, 112])/8 + 
       (49*f[7, 113])/4 + 17*f[7, 114] + (1527*f[7, 115])/32 - 
       (43*f[7, 116])/4 - (1915*f[7, 117])/8 + (523*f[7, 118])/32 + 
       (1231*f[7, 119])/32 + (189*f[7, 120])/8 - (171*f[7, 121])/8 + 
       (185*f[7, 122])/4 + (39*f[7, 123])/4 - (241*f[7, 124])/8 - 
       (353*f[7, 125])/8 + (25*f[7, 126])/2 + f[7, 135]/2 - 
       (27*f[7, 136])/2 - (3*f[7, 137])/4 - (37*f[7, 138])/16 - 4*f[7, 145] - 
       20*f[7, 146] - (43*f[7, 147])/4 - (29*f[7, 148])/8 - 
       (157*f[7, 149])/16 - (115*f[7, 150])/3)*HPL[{0, 0, 0, 1}, 1 - v]*
      SPw2f1[u, v] + (-f[7, 135]/2 - (11*f[7, 136])/2 - 68*f[7, 137] - 
       63*f[7, 138] + 2*f[7, 145] + 10*f[7, 146] + (47*f[7, 147])/4 - 
       (549*f[7, 148])/8 - 180*f[7, 149] - (439*f[7, 150])/8)*
      HPL[{0, 0, 1, 1}, 1 - u]*SPw2f1[u, v] + 
     ((3*f[7, 135])/4 + (9*f[7, 136])/4 + (573*f[7, 137])/8 + 
       (2139*f[7, 138])/32 - 3*f[7, 146] - 6*f[7, 147] + 
       (1233*f[7, 148])/16 + (5973*f[7, 149])/32 + (1297*f[7, 150])/16)*
      HPL[{0, 1, 1, 1}, 1 - u]*SPw2f1[u, v] + 
     ((3*f[7, 19])/16 + (9*f[7, 20])/8 - f[7, 130] - f[7, 131] + 
       (3*f[7, 141])/4 - (9*f[7, 143])/8)*HPL[{1}, 1 - u]^2*SPw2f1[u, v]^2 + 
     (f[7, 19]/8 + f[7, 20]/4 - f[7, 130] - (5*f[7, 131])/2 - f[7, 142]/2 - 
       (5*f[7, 143])/4)*HPL[{1}, 1 - v]^2*SPw2f1[u, v]^2 + 
     (-f[7, 21]/2 + f[7, 26]/5 - f[7, 27]/5 - f[7, 28]/10 + f[7, 30]/8 + 
       f[7, 31]/5 - f[7, 32]/5 - (3*f[7, 33])/5 + f[7, 35]/5 + f[7, 36]/10 + 
       f[7, 37]/20 + (4*f[7, 38])/5 + f[7, 39]/10 + (3*f[7, 40])/10 - 
       f[7, 41]/20 - f[7, 42]/20 - (3*f[7, 43])/10 - (3*f[7, 44])/5 - 
       f[7, 45]/10 - f[7, 46]/10 - (3*f[7, 47])/40 + (3*f[7, 48])/10 - 
       (17*f[7, 49])/40 + f[7, 50]/8 + f[7, 51]/40 - (3*f[7, 52])/4 + 
       (13*f[7, 53])/40 - f[7, 55]/4 - (33*f[7, 56])/20 + f[7, 57]/4 + 
       (89*f[7, 58])/20 + (59*f[7, 59])/240 - (13*f[7, 60])/10 - 
       (13*f[7, 61])/4 - (1393*f[7, 62])/960 - (1393*f[7, 63])/960 + 
       (1393*f[7, 64])/960 - (367*f[7, 65])/40 + (159*f[7, 66])/20 + 
       (69*f[7, 67])/40 + (71*f[7, 68])/5 + (72*f[7, 69])/5 - 
       (113*f[7, 70])/40 + (23*f[7, 71])/8 - (1103*f[7, 72])/80 + 
       (1107*f[7, 73])/80 + (1117*f[7, 74])/80 - (121*f[7, 75])/960 - 
       (1261*f[7, 76])/64 + (851*f[7, 77])/80 - (57*f[7, 78])/8 + 
       (9391*f[7, 79])/960 + (2761*f[7, 80])/960 + (195*f[7, 81])/8 - 
       (6521*f[7, 82])/120 - (93*f[7, 83])/2 - (7279*f[7, 84])/960 + 
       (17797*f[7, 85])/960 + (44701*f[7, 86])/960 + (21091*f[7, 87])/960 - 
       (1195*f[7, 88])/192 + (4639*f[7, 89])/960 + (3793*f[7, 90])/960 - 
       (877*f[7, 91])/48 + (3851*f[7, 92])/160 + (19273*f[7, 93])/960 - 
       (237*f[7, 94])/40 + (10049*f[7, 95])/320 - (399*f[7, 96])/80 - 
       (803*f[7, 97])/48 - (3991*f[7, 98])/240 + (1217*f[7, 99])/96 + 
       (4243*f[7, 100])/48 + (941*f[7, 101])/120 + (4939*f[7, 102])/240 + 
       (2803*f[7, 103])/960 + (1367*f[7, 104])/96 + (8101*f[7, 105])/960 - 
       (1034*f[7, 106])/15 + (11299*f[7, 107])/240 - (3449*f[7, 108])/192 - 
       (5199*f[7, 109])/320 + (1417*f[7, 110])/160 + (14827*f[7, 111])/960 - 
       (7133*f[7, 112])/320 - (1877*f[7, 113])/480 - (11381*f[7, 114])/960 - 
       (10721*f[7, 115])/960 - (863*f[7, 116])/192 + (76199*f[7, 117])/240 + 
       (1127*f[7, 118])/960 - (39091*f[7, 119])/960 - (1583*f[7, 120])/64 + 
       (4461*f[7, 121])/320 - (37991*f[7, 122])/960 - (3873*f[7, 123])/320 + 
       (4167*f[7, 124])/160 + (20171*f[7, 125])/960 - (9659*f[7, 126])/480 - 
       f[7, 132]/10 + f[7, 134]/10 + f[7, 135]/20 + (93*f[7, 136])/40 - 
       (68*f[7, 137])/5 - (3733*f[7, 138])/320 - f[7, 144]/5 + 
       (93*f[7, 146])/20 + (13*f[7, 147])/10 + (2409*f[7, 148])/160 + 
       (1453*f[7, 149])/40 + (5407*f[7, 150])/240)*HPL[{0, 1}, 1 - u]*
      SPw2f1[u, v]^2 + (f[7, 132]/5 - f[7, 134]/5 + (3*f[7, 135])/20 - 
       (103*f[7, 136])/20 + (1833*f[7, 137])/40 + (6153*f[7, 138])/160 - 
       (2*f[7, 144])/5 + (54*f[7, 146])/5 + (57*f[7, 147])/20 + 
       (971*f[7, 148])/20 + (19559*f[7, 149])/160 + (8657*f[7, 150])/120)*
      HPL[{0, 1}, 1 - v]*SPw2f1[u, v]^2 + 
     (f[7, 31] - 2*f[7, 33] + (5*f[7, 62])/16 + (5*f[7, 63])/16 - 
       (5*f[7, 64])/16 + (5*f[7, 81])/4 - (5*f[7, 89])/16 + (5*f[7, 91])/4 + 
       (5*f[7, 96])/8 - (5*f[7, 97])/8 - (5*f[7, 98])/8 - (5*f[7, 99])/16 - 
       (5*f[7, 100])/2 - (5*f[7, 101])/16 - (5*f[7, 102])/16 + 
       (5*f[7, 103])/8 - (5*f[7, 104])/16 + (5*f[7, 105])/8 + 
       (5*f[7, 106])/4 - (5*f[7, 107])/4 + (15*f[7, 108])/16 + 
       (15*f[7, 109])/16 + (5*f[7, 110])/16 + (5*f[7, 111])/16 - 
       (5*f[7, 112])/16 + (5*f[7, 113])/16 + (5*f[7, 114])/8 + 
       (5*f[7, 115])/8 - (5*f[7, 116])/8 - (25*f[7, 117])/4 + 
       (15*f[7, 118])/16 + (5*f[7, 119])/4 + (5*f[7, 120])/16 - 
       (5*f[7, 121])/16 + (5*f[7, 122])/16 + (5*f[7, 123])/16 - 
       (5*f[7, 124])/8 - (15*f[7, 125])/16 - (5*f[7, 126])/16 - 
       (5*f[7, 150])/4)*HPL[{1}, 1 - u]^3*SPw3f1[u, v] + 
     (-f[7, 135]/4 + (5*f[7, 136])/2 + (21*f[7, 137])/8 + (91*f[7, 138])/32 - 
       (11*f[7, 146])/2 - (27*f[7, 147])/8 + (27*f[7, 148])/16 + 
       (273*f[7, 149])/32 - (359*f[7, 150])/48)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*SPw3f1[u, v] + (f[7, 137]/2 + (3*f[7, 138])/8 + 
       f[7, 148]/2 + (5*f[7, 149])/4 + (3*f[7, 150])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*SPw3f1[u, v] + (f[7, 13]/3 + f[7, 26]/15 - 
       f[7, 27]/15 - f[7, 28]/30 + f[7, 30]/12 + f[7, 31]/15 - f[7, 32]/15 - 
       f[7, 33]/5 + (2*f[7, 35])/5 + f[7, 36]/30 + f[7, 37]/60 + 
       (4*f[7, 38])/15 + f[7, 39]/30 + (13*f[7, 40])/30 - f[7, 41]/60 - 
       f[7, 42]/60 - f[7, 43]/10 - f[7, 44]/5 - (31*f[7, 45])/30 - 
       (31*f[7, 46])/30 + (19*f[7, 47])/240 - (2*f[7, 48])/5 - 
       (9*f[7, 49])/40 + (19*f[7, 50])/24 - (19*f[7, 51])/120 - 
       (7*f[7, 52])/8 + (103*f[7, 53])/120 - f[7, 54]/12 - (5*f[7, 55])/12 - 
       (1733*f[7, 56])/960 - (259*f[7, 57])/128 + (113*f[7, 58])/20 + 
       (217*f[7, 59])/160 - (6359*f[7, 60])/3840 - (1901*f[7, 61])/384 - 
       (727*f[7, 62])/320 - (727*f[7, 63])/320 + (727*f[7, 64])/320 - 
       (4699*f[7, 65])/640 + (3749*f[7, 66])/960 - (1931*f[7, 67])/1920 + 
       (1059*f[7, 68])/160 + (1023*f[7, 69])/160 - (311*f[7, 70])/640 + 
       (193*f[7, 71])/384 - (2551*f[7, 72])/480 + (833*f[7, 73])/160 + 
       (953*f[7, 74])/160 - (1049*f[7, 75])/1920 - (5713*f[7, 76])/768 + 
       (8881*f[7, 77])/3840 - (187*f[7, 78])/64 + (5363*f[7, 79])/640 + 
       (2203*f[7, 80])/640 + (3971*f[7, 81])/96 - (27071*f[7, 82])/960 - 
       (4195*f[7, 83])/96 - (6851*f[7, 84])/1920 + (28831*f[7, 85])/3840 + 
       (11393*f[7, 86])/640 + (5113*f[7, 87])/640 - (851*f[7, 88])/384 + 
       (233*f[7, 89])/60 + (9889*f[7, 90])/3840 - (4529*f[7, 91])/192 + 
       (12947*f[7, 92])/960 + (48829*f[7, 93])/3840 - (22747*f[7, 94])/1920 + 
       (22483*f[7, 95])/1920 - (1749*f[7, 96])/640 - (3481*f[7, 97])/384 - 
       (15901*f[7, 98])/1920 + (1405*f[7, 99])/384 + (4909*f[7, 100])/192 + 
       (599*f[7, 101])/640 + (13463*f[7, 102])/640 + (743*f[7, 103])/480 + 
       (7471*f[7, 104])/384 + (11039*f[7, 105])/1920 - 
       (22081*f[7, 106])/480 + (373*f[7, 107])/40 - (2675*f[7, 108])/192 - 
       (1109*f[7, 109])/60 + (24541*f[7, 110])/3840 + (2567*f[7, 111])/480 - 
       (913*f[7, 112])/160 - (987*f[7, 113])/640 - (22219*f[7, 114])/1920 - 
       (57083*f[7, 115])/3840 + (977*f[7, 116])/384 + 
       (145477*f[7, 117])/960 - (8539*f[7, 118])/3840 - 
       (70133*f[7, 119])/3840 - (921*f[7, 120])/64 + (79*f[7, 121])/15 - 
       (5329*f[7, 122])/320 - (3533*f[7, 123])/960 + (2943*f[7, 124])/320 + 
       (8417*f[7, 125])/960 - (10877*f[7, 126])/1920 - f[7, 132]/30 + 
       f[7, 134]/30 - (7*f[7, 135])/30 + (101*f[7, 136])/40 - 
       (1127*f[7, 137])/160 - (4351*f[7, 138])/1920 - f[7, 144]/15 - 
       (5*f[7, 145])/12 + (403*f[7, 146])/60 + (271*f[7, 147])/60 + 
       (4733*f[7, 148])/960 + (23173*f[7, 149])/1920 + (4253*f[7, 150])/480)*
      HPL[{1}, 1 - v]^3*SPw3f1[u, v] + (-f[7, 41]/2 - f[7, 42]/2 - 
       f[7, 47]/2 + (3*f[7, 48])/4 + f[7, 49]/2 + f[7, 51]/4 + f[7, 54]/2 - 
       (21*f[7, 56])/16 + (79*f[7, 57])/32 + 11*f[7, 58] + f[7, 59]/4 - 
       (3*f[7, 60])/64 - (165*f[7, 61])/32 - (185*f[7, 62])/32 - 
       (185*f[7, 63])/32 + (185*f[7, 64])/32 - (573*f[7, 65])/32 + 
       (301*f[7, 66])/16 + (125*f[7, 67])/32 + (301*f[7, 68])/8 + 
       (301*f[7, 69])/8 - (301*f[7, 70])/32 + (301*f[7, 71])/32 - 
       (297*f[7, 72])/8 + (301*f[7, 73])/8 + (297*f[7, 74])/8 + 
       (7*f[7, 75])/32 - (3429*f[7, 76])/64 + (2437*f[7, 77])/64 - 
       (301*f[7, 78])/16 + (613*f[7, 79])/32 + (37*f[7, 80])/32 + 
       24*f[7, 81] - (1975*f[7, 82])/16 - (639*f[7, 83])/8 - 
       (559*f[7, 84])/32 + (2915*f[7, 85])/64 + (3859*f[7, 86])/32 + 
       (1771*f[7, 87])/32 - (483*f[7, 88])/32 + (399*f[7, 89])/32 + 
       (485*f[7, 90])/64 - (799*f[7, 91])/16 + (217*f[7, 92])/4 + 
       (2585*f[7, 93])/64 - (357*f[7, 94])/32 + (2615*f[7, 95])/32 - 
       (613*f[7, 96])/32 - (1031*f[7, 97])/32 - (1031*f[7, 98])/32 + 
       (277*f[7, 99])/8 + (4693*f[7, 100])/16 + (515*f[7, 101])/16 + 
       (749*f[7, 102])/16 + (19*f[7, 103])/8 + (437*f[7, 104])/16 + 
       (293*f[7, 105])/32 - (1237*f[7, 106])/8 + (1331*f[7, 107])/8 - 
       (1499*f[7, 108])/32 - (1073*f[7, 109])/32 + (619*f[7, 110])/64 + 
       (1077*f[7, 111])/32 - (1733*f[7, 112])/32 - (333*f[7, 113])/16 - 
       (909*f[7, 114])/32 - (1427*f[7, 115])/64 - (321*f[7, 116])/32 + 
       (14111*f[7, 117])/16 + (231*f[7, 118])/64 - (7765*f[7, 119])/64 - 
       (2031*f[7, 120])/32 + (1263*f[7, 121])/32 - (3237*f[7, 122])/32 - 
       (997*f[7, 123])/32 + (567*f[7, 124])/8 + (2039*f[7, 125])/32 - 
       (811*f[7, 126])/16 + (49*f[7, 136])/4 - (125*f[7, 137])/2 - 
       60*f[7, 138] - 2*f[7, 146] - 3*f[7, 147] + (99*f[7, 148])/8 + 
       (581*f[7, 149])/16 + (129*f[7, 150])/8)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*SPw3f1[u, v] + (-f[7, 129] + (5*f[7, 136])/2 - 
       9*f[7, 137] - (31*f[7, 138])/4 - 6*f[7, 146] - (5*f[7, 147])/2 - 
       (39*f[7, 148])/4 - (91*f[7, 149])/4 - (197*f[7, 150])/12)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*SPw3f1[u, v] + 
     (f[7, 48] + f[7, 51]/2 + f[7, 54]/2 + (3*f[7, 56])/8 - 
       (11*f[7, 57])/16 + 5*f[7, 58] + (15*f[7, 59])/4 - f[7, 60]/32 + 
       (17*f[7, 61])/16 - (23*f[7, 62])/16 - (23*f[7, 63])/16 + 
       (23*f[7, 64])/16 + (113*f[7, 65])/16 - (57*f[7, 66])/8 - 
       (89*f[7, 67])/16 - (57*f[7, 68])/4 - (57*f[7, 69])/4 + 
       (57*f[7, 70])/16 - (57*f[7, 71])/16 + (57*f[7, 72])/4 - 
       (57*f[7, 73])/4 - (57*f[7, 74])/4 - (51*f[7, 75])/16 + 
       (665*f[7, 76])/32 - (457*f[7, 77])/32 + (57*f[7, 78])/8 - 
       (109*f[7, 79])/16 - (87*f[7, 80])/16 + (55*f[7, 81])/4 + 
       (439*f[7, 82])/8 + (137*f[7, 83])/4 + (103*f[7, 84])/16 - 
       (719*f[7, 85])/32 - (803*f[7, 86])/16 - (387*f[7, 87])/16 + 
       (91*f[7, 88])/16 - (15*f[7, 89])/16 - (89*f[7, 90])/32 - 
       (285*f[7, 91])/8 - (169*f[7, 92])/8 - (629*f[7, 93])/32 - 
       (307*f[7, 94])/16 - (515*f[7, 95])/16 - (7*f[7, 96])/16 + 
       (339*f[7, 97])/16 + (339*f[7, 98])/16 - (55*f[7, 99])/4 - 
       (633*f[7, 100])/8 - (65*f[7, 101])/8 + (21*f[7, 102])/4 - 
       (35*f[7, 103])/4 + (43*f[7, 104])/4 - (193*f[7, 105])/16 + 
       (99*f[7, 106])/2 - (187*f[7, 107])/4 + (107*f[7, 108])/16 + 
       (29*f[7, 109])/16 - (199*f[7, 110])/32 - (365*f[7, 111])/16 + 
       (433*f[7, 112])/16 - (29*f[7, 113])/4 + (53*f[7, 114])/16 - 
       (161*f[7, 115])/32 + (181*f[7, 116])/16 - (2091*f[7, 117])/8 - 
       (423*f[7, 118])/32 + (977*f[7, 119])/32 + (325*f[7, 120])/16 - 
       (119*f[7, 121])/16 + (437*f[7, 122])/16 + (185*f[7, 123])/16 - 
       19*f[7, 124] - (87*f[7, 125])/16 + (155*f[7, 126])/8 + f[7, 135]/2 - 
       f[7, 136] + (87*f[7, 137])/4 + (293*f[7, 138])/16 + 13*f[7, 146] + 
       (31*f[7, 147])/4 + (11*f[7, 148])/8 - (311*f[7, 149])/16 + 
       (511*f[7, 150])/24)*HPL[{0, 0, 1}, 1 - u]*SPw3f1[u, v] + 
     (f[7, 34]/2 - f[7, 45] - f[7, 46] - f[7, 47]/4 - f[7, 48]/4 + 
       f[7, 49]/4 + 2*f[7, 50] - f[7, 51]/4 + f[7, 52] + (3*f[7, 53])/2 - 
       f[7, 54]/4 + (7*f[7, 55])/2 + (3*f[7, 56])/8 + (19*f[7, 57])/8 + 
       6*f[7, 58] - (5*f[7, 59])/4 - (15*f[7, 60])/16 + (5*f[7, 61])/8 - 
       (121*f[7, 62])/32 - (121*f[7, 63])/32 + (121*f[7, 64])/32 - 
       (11*f[7, 65])/8 - f[7, 66]/2 - (9*f[7, 67])/2 - (11*f[7, 68])/2 - 
       5*f[7, 69] + (3*f[7, 70])/2 - (3*f[7, 71])/2 + 7*f[7, 72] - 
       (25*f[7, 73])/4 - 6*f[7, 74] - (187*f[7, 75])/32 + 11*f[7, 76] + 
       f[7, 77]/16 + (5*f[7, 78])/2 - (13*f[7, 79])/32 - (63*f[7, 80])/32 + 
       (249*f[7, 81])/8 + (237*f[7, 82])/8 + (61*f[7, 83])/4 + 
       (21*f[7, 84])/32 - (391*f[7, 85])/32 - (989*f[7, 86])/32 - 
       (549*f[7, 87])/32 + (61*f[7, 88])/32 + (93*f[7, 89])/32 + 
       (153*f[7, 90])/32 - (147*f[7, 91])/8 - (269*f[7, 92])/32 - 
       (459*f[7, 93])/32 - (395*f[7, 94])/32 - (433*f[7, 95])/32 - 
       (167*f[7, 96])/16 + (165*f[7, 97])/16 + (181*f[7, 98])/16 - 
       (15*f[7, 99])/2 + (21*f[7, 100])/4 + (99*f[7, 101])/32 + 8*f[7, 102] - 
       5*f[7, 103] + (375*f[7, 104])/32 - (355*f[7, 105])/32 + 
       (63*f[7, 106])/8 + (105*f[7, 107])/8 - (109*f[7, 108])/32 - 
       (333*f[7, 109])/32 - 6*f[7, 110] - (441*f[7, 111])/32 + 
       (443*f[7, 112])/32 - (45*f[7, 113])/8 - (69*f[7, 114])/32 - 
       (545*f[7, 115])/32 + (351*f[7, 116])/32 + (7*f[7, 117])/8 - 
       (33*f[7, 118])/4 - (69*f[7, 119])/16 + (81*f[7, 120])/32 + 
       (115*f[7, 121])/32 + (69*f[7, 122])/32 + (45*f[7, 123])/32 + 
       (51*f[7, 124])/16 + (315*f[7, 125])/32 + (75*f[7, 126])/8 + 
       f[7, 133]/2 + f[7, 135]/4 + (27*f[7, 136])/4 + (51*f[7, 137])/2 + 
       (349*f[7, 138])/16 + f[7, 145] - (17*f[7, 147])/8 + (37*f[7, 148])/4 + 
       (285*f[7, 149])/8 + (1399*f[7, 150])/48)*HPL[{0, 0, 1}, 1 - v]*
      SPw3f1[u, v] + ((-13*f[7, 26])/30 - (17*f[7, 27])/30 - f[7, 28]/30 + 
       (5*f[7, 30])/12 + (17*f[7, 31])/30 - f[7, 32]/15 - (27*f[7, 33])/10 - 
       (13*f[7, 35])/30 + f[7, 36]/30 + f[7, 37]/60 + (8*f[7, 38])/5 + 
       f[7, 39]/30 - (2*f[7, 40])/5 - f[7, 41]/60 - f[7, 42]/60 - 
       f[7, 43]/10 - f[7, 44]/5 - (11*f[7, 45])/30 - (31*f[7, 46])/30 - 
       (2*f[7, 47])/5 - (7*f[7, 48])/30 + (13*f[7, 49])/120 + 
       (65*f[7, 50])/48 - (49*f[7, 51])/120 + f[7, 52]/4 + 
       (101*f[7, 53])/240 - (2*f[7, 54])/3 + (221*f[7, 55])/48 + 
       (421*f[7, 56])/480 + (809*f[7, 57])/192 + (257*f[7, 58])/30 - 
       (983*f[7, 59])/360 + (4663*f[7, 60])/1920 + (973*f[7, 61])/192 - 
       (7319*f[7, 62])/1440 - (7319*f[7, 63])/1440 + (7319*f[7, 64])/1440 + 
       (7459*f[7, 65])/960 - (607*f[7, 66])/120 - (2077*f[7, 67])/240 - 
       (3169*f[7, 68])/240 - (401*f[7, 69])/30 + (337*f[7, 70])/120 - 
       (67*f[7, 71])/24 + (2503*f[7, 72])/160 - (1947*f[7, 73])/160 - 
       (6601*f[7, 74])/480 - (113479*f[7, 75])/11520 + (1557*f[7, 76])/64 - 
       (3689*f[7, 77])/640 + 8*f[7, 78] - (81521*f[7, 79])/11520 - 
       (61661*f[7, 80])/11520 + (1663*f[7, 81])/64 + (177587*f[7, 82])/2880 + 
       (503*f[7, 83])/12 + (48329*f[7, 84])/11520 - (289487*f[7, 85])/11520 - 
       (723821*f[7, 86])/11520 - (386801*f[7, 87])/11520 + 
       (10277*f[7, 88])/2304 + (1519*f[7, 89])/2880 + 
       (43897*f[7, 90])/11520 - (10625*f[7, 91])/288 - 
       (29859*f[7, 92])/1280 - (309203*f[7, 93])/11520 - 
       (84019*f[7, 94])/3840 - (39093*f[7, 95])/1280 - (6013*f[7, 96])/480 + 
       (7367*f[7, 97])/288 + (37363*f[7, 98])/1440 - (32741*f[7, 99])/2304 - 
       (1807*f[7, 100])/72 + (7901*f[7, 101])/5760 + (99109*f[7, 102])/
        11520 - (70129*f[7, 103])/5760 + (7621*f[7, 104])/576 - 
       (232601*f[7, 105])/11520 + (50537*f[7, 106])/1440 + 
       (1007*f[7, 107])/360 + (2573*f[7, 108])/1152 - (7643*f[7, 109])/1920 - 
       (10843*f[7, 110])/1280 - (77303*f[7, 111])/2880 + 
       (52429*f[7, 112])/1920 - (121201*f[7, 113])/11520 + 
       (31321*f[7, 114])/11520 - (173099*f[7, 115])/11520 + 
       (34861*f[7, 116])/2304 - (209507*f[7, 117])/1440 - 
       (204547*f[7, 118])/11520 + (74773*f[7, 119])/5760 + 
       (2229*f[7, 120])/128 + (4457*f[7, 121])/1920 + 
       (77453*f[7, 122])/5760 + (12979*f[7, 123])/1920 - 
       (4061*f[7, 124])/960 + (32591*f[7, 125])/2880 + 
       (192563*f[7, 126])/11520 + f[7, 135]/8 + (29*f[7, 136])/24 + 
       (37*f[7, 137])/2 + (1789*f[7, 138])/192 - (2*f[7, 144])/15 + 
       (4*f[7, 145])/3 + (901*f[7, 146])/60 + (4831*f[7, 147])/480 - 
       (909*f[7, 148])/160 - (30497*f[7, 149])/960 + (24187*f[7, 150])/960)*
      HPL[{1}, 1 - u]^3*SPw3f1[v, u] + (-f[7, 135]/4 + (9*f[7, 136])/4 + 
       (141*f[7, 137])/32 + (691*f[7, 138])/128 + (3*f[7, 145])/4 - 
       5*f[7, 146] - (53*f[7, 147])/16 + (237*f[7, 148])/64 + 
       (2257*f[7, 149])/128 - (517*f[7, 150])/96)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*SPw3f1[v, u] + (f[7, 132]/10 - f[7, 134]/10 + 
       (9*f[7, 135])/20 - (173*f[7, 136])/40 + (2643*f[7, 137])/80 + 
       (9043*f[7, 138])/320 - f[7, 144]/5 - f[7, 145]/2 + 
       (193*f[7, 146])/20 + (239*f[7, 147])/80 + (5689*f[7, 148])/160 + 
       (27669*f[7, 149])/320 + (4539*f[7, 150])/80)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*SPw3f1[v, u] + (-f[7, 45]/3 - f[7, 46]/3 - 
       f[7, 48]/6 + f[7, 50]/3 - f[7, 51]/12 - f[7, 53]/6 - f[7, 54]/12 + 
       (2*f[7, 55])/3 - (5*f[7, 56])/48 + f[7, 57]/96 + (11*f[7, 58])/6 + 
       (5*f[7, 59])/72 + (19*f[7, 60])/192 - f[7, 61]/32 - 
       (373*f[7, 62])/288 - (373*f[7, 63])/288 + (373*f[7, 64])/288 - 
       (43*f[7, 65])/96 + (7*f[7, 66])/48 - (35*f[7, 67])/32 - 
       (3*f[7, 68])/8 - (3*f[7, 69])/8 + (3*f[7, 70])/32 - (3*f[7, 71])/32 + 
       (7*f[7, 72])/8 - (13*f[7, 73])/24 - (13*f[7, 74])/24 - 
       (73*f[7, 75])/72 + (95*f[7, 76])/64 + (35*f[7, 77])/192 + 
       (13*f[7, 78])/48 + (2*f[7, 79])/9 - (73*f[7, 80])/144 + 
       (77*f[7, 81])/12 + (475*f[7, 82])/144 - (5*f[7, 83])/8 + 
       (19*f[7, 84])/144 - (979*f[7, 85])/576 - (589*f[7, 86])/144 - 
       (361*f[7, 87])/144 + (41*f[7, 88])/144 + (331*f[7, 89])/288 + 
       (167*f[7, 90])/576 - (1531*f[7, 91])/144 - (89*f[7, 92])/96 - 
       (877*f[7, 93])/576 - (37*f[7, 94])/8 - (65*f[7, 95])/48 - 
       (259*f[7, 96])/96 + (677*f[7, 97])/288 + (797*f[7, 98])/288 - 
       (217*f[7, 99])/288 + (985*f[7, 100])/144 + (167*f[7, 101])/144 + 
       (1393*f[7, 102])/288 - (67*f[7, 103])/36 + (673*f[7, 104])/144 - 
       (179*f[7, 105])/72 - (22*f[7, 106])/9 + (343*f[7, 107])/72 - 
       (709*f[7, 108])/288 - (337*f[7, 109])/96 - (145*f[7, 110])/192 - 
       (683*f[7, 111])/288 + (85*f[7, 112])/32 - (733*f[7, 113])/288 - 
       (16*f[7, 114])/9 - (2185*f[7, 115])/576 + (209*f[7, 116])/72 + 
       (2347*f[7, 117])/144 - (1895*f[7, 118])/576 - (1949*f[7, 119])/576 + 
       f[7, 120]/32 + (115*f[7, 121])/96 - (167*f[7, 122])/288 + 
       (5*f[7, 123])/32 + (9*f[7, 124])/8 + (935*f[7, 125])/288 + 
       (521*f[7, 126])/288 - f[7, 132]/30 + f[7, 134]/30 - (7*f[7, 135])/30 + 
       (433*f[7, 136])/120 - (893*f[7, 137])/240 - (571*f[7, 138])/320 + 
       f[7, 144]/15 - f[7, 145]/2 - (81*f[7, 146])/20 - (629*f[7, 147])/240 - 
       (2789*f[7, 148])/480 - (4233*f[7, 149])/320 - (4159*f[7, 150])/240)*
      HPL[{1}, 1 - v]^3*SPw3f1[v, u] + (-f[7, 36] - f[7, 41]/2 - f[7, 42]/2 - 
       2*f[7, 43] - 2*f[7, 44] - (3*f[7, 47])/4 + f[7, 48]/4 - f[7, 49] + 
       f[7, 50] - f[7, 51]/2 - (3*f[7, 52])/2 + f[7, 53] - (3*f[7, 54])/4 + 
       4*f[7, 55] - (31*f[7, 56])/4 + (123*f[7, 57])/16 + (147*f[7, 58])/2 + 
       (85*f[7, 59])/24 - (39*f[7, 60])/32 - (173*f[7, 61])/16 - 
       (3701*f[7, 62])/96 - (3701*f[7, 63])/96 + (3701*f[7, 64])/96 - 
       (1569*f[7, 65])/16 + (825*f[7, 66])/8 + (225*f[7, 67])/16 + 
       (807*f[7, 68])/4 + (813*f[7, 69])/4 - (785*f[7, 70])/16 + 
       (785*f[7, 71])/16 - (807*f[7, 72])/4 + (815*f[7, 73])/4 + 
       (805*f[7, 74])/4 - (1373*f[7, 75])/96 - (8953*f[7, 76])/32 + 
       (6865*f[7, 77])/32 - (811*f[7, 78])/8 + (10343*f[7, 79])/96 + 
       (485*f[7, 80])/96 + (649*f[7, 81])/4 - (7603*f[7, 82])/12 - 
       (807*f[7, 83])/2 - (8747*f[7, 84])/96 + (691*f[7, 85])/3 + 
       (59825*f[7, 86])/96 + (26693*f[7, 87])/96 - (8155*f[7, 88])/96 + 
       (7205*f[7, 89])/96 + (779*f[7, 90])/24 - (1196*f[7, 91])/3 + 
       (9455*f[7, 92])/32 + (4703*f[7, 93])/24 - (3023*f[7, 94])/32 + 
       (14017*f[7, 95])/32 - (251*f[7, 96])/2 - (3377*f[7, 97])/24 - 
       (3377*f[7, 98])/24 + (8399*f[7, 99])/48 + (40027*f[7, 100])/24 + 
       (18041*f[7, 101])/96 + (6881*f[7, 102])/24 - (11*f[7, 103])/12 + 
       (17623*f[7, 104])/96 + (2477*f[7, 105])/96 - (10211*f[7, 106])/12 + 
       (22985*f[7, 107])/24 - (26405*f[7, 108])/96 - (6483*f[7, 109])/32 + 
       (1461*f[7, 110])/32 + (15719*f[7, 111])/96 - (8921*f[7, 112])/32 - 
       (403*f[7, 113])/3 - (15313*f[7, 114])/96 - (3217*f[7, 115])/24 - 
       (3833*f[7, 116])/96 + (14900*f[7, 117])/3 - (1865*f[7, 118])/96 - 
       (65507*f[7, 119])/96 - (10263*f[7, 120])/32 + (7297*f[7, 121])/32 - 
       (53719*f[7, 122])/96 - (5785*f[7, 123])/32 + (6517*f[7, 124])/16 + 
       (36607*f[7, 125])/96 - (6443*f[7, 126])/24 + f[7, 129] - f[7, 135]/4 + 
       (143*f[7, 136])/4 - (793*f[7, 137])/4 - (2981*f[7, 138])/16 - 
       2*f[7, 140] + f[7, 145] + (147*f[7, 146])/2 + (171*f[7, 147])/8 + 
       (3661*f[7, 148])/16 + (8429*f[7, 149])/16 + (8651*f[7, 150])/24)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*SPw3f1[v, u] + 
     (-2*f[7, 43] - 2*f[7, 44] - f[7, 48]/2 - (3*f[7, 49])/2 - 
       (3*f[7, 51])/4 - (5*f[7, 54])/4 - (39*f[7, 56])/16 + 
       (31*f[7, 57])/32 + (21*f[7, 58])/2 + (25*f[7, 59])/24 - 
       (67*f[7, 60])/64 - (29*f[7, 61])/32 - (575*f[7, 62])/96 - 
       (575*f[7, 63])/96 + (575*f[7, 64])/96 - (845*f[7, 65])/32 + 
       (469*f[7, 66])/16 + (293*f[7, 67])/32 + (469*f[7, 68])/8 + 
       (469*f[7, 69])/8 - (469*f[7, 70])/32 + (469*f[7, 71])/32 - 
       (481*f[7, 72])/8 + (469*f[7, 73])/8 + (469*f[7, 74])/8 + 
       (37*f[7, 75])/96 - (5397*f[7, 76])/64 + (3845*f[7, 77])/64 - 
       (469*f[7, 78])/16 + (2819*f[7, 79])/96 + (485*f[7, 80])/96 + 
       (71*f[7, 81])/8 - (9577*f[7, 82])/48 - (985*f[7, 83])/8 - 
       (2489*f[7, 84])/96 + (14425*f[7, 85])/192 + (18605*f[7, 86])/96 + 
       (8525*f[7, 87])/96 - (2437*f[7, 88])/96 + (1625*f[7, 89])/96 + 
       (1567*f[7, 90])/192 - (2837*f[7, 91])/48 + (1383*f[7, 92])/16 + 
       (12643*f[7, 93])/192 - (69*f[7, 94])/32 + (4215*f[7, 95])/32 - 
       (845*f[7, 96])/32 - (4949*f[7, 97])/96 - (4949*f[7, 98])/96 + 
       (1297*f[7, 99])/24 + (21407*f[7, 100])/48 + (2359*f[7, 101])/48 + 
       (1403*f[7, 102])/24 + (173*f[7, 103])/24 + (709*f[7, 104])/24 + 
       (1583*f[7, 105])/96 - (695*f[7, 106])/3 + (6125*f[7, 107])/24 - 
       (6557*f[7, 108])/96 - (1425*f[7, 109])/32 + (1051*f[7, 110])/64 + 
       (5723*f[7, 111])/96 - (2909*f[7, 112])/32 - (599*f[7, 113])/24 - 
       (3595*f[7, 114])/96 - (3641*f[7, 115])/192 - (2147*f[7, 116])/96 + 
       (64973*f[7, 117])/48 + (1265*f[7, 118])/192 - (34663*f[7, 119])/192 - 
       (2837*f[7, 120])/32 + (1899*f[7, 121])/32 - (14755*f[7, 122])/96 - 
       (1717*f[7, 123])/32 + (225*f[7, 124])/2 + (8977*f[7, 125])/96 - 
       (3877*f[7, 126])/48 - f[7, 135]/4 + 13*f[7, 136] - (671*f[7, 137])/8 - 
       (2521*f[7, 138])/32 - (13*f[7, 146])/2 - (55*f[7, 147])/8 + 
       (515*f[7, 148])/16 + (2895*f[7, 149])/32 + (1555*f[7, 150])/48)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*SPw3f1[v, u] + 
     (-2*f[7, 43] - 2*f[7, 44] - (3*f[7, 49])/2 - f[7, 51]/2 - f[7, 54] - 
       (15*f[7, 56])/8 + (31*f[7, 57])/16 + 10*f[7, 58] - f[7, 59]/2 - 
       (35*f[7, 60])/32 + (19*f[7, 61])/16 - (69*f[7, 62])/16 - 
       (69*f[7, 63])/16 + (69*f[7, 64])/16 - (261*f[7, 65])/16 + 
       (149*f[7, 66])/8 + (69*f[7, 67])/16 + (149*f[7, 68])/4 + 
       (149*f[7, 69])/4 - (149*f[7, 70])/16 + (149*f[7, 71])/16 - 
       (155*f[7, 72])/4 + (149*f[7, 73])/4 + (149*f[7, 74])/4 - 
       (25*f[7, 75])/16 - (1701*f[7, 76])/32 + (1229*f[7, 77])/32 - 
       (149*f[7, 78])/8 + (301*f[7, 79])/16 + (21*f[7, 80])/16 + 
       15*f[7, 81] - (991*f[7, 82])/8 - (303*f[7, 83])/4 - 
       (267*f[7, 84])/16 + (1467*f[7, 85])/32 + (1935*f[7, 86])/16 + 
       (879*f[7, 87])/16 - (263*f[7, 88])/16 + (183*f[7, 89])/16 + 
       (181*f[7, 90])/32 - (423*f[7, 91])/8 + 55*f[7, 92] + 
       (1281*f[7, 93])/32 - (123*f[7, 94])/16 + (1339*f[7, 95])/16 - 
       (301*f[7, 96])/16 - (479*f[7, 97])/16 - (479*f[7, 98])/16 + 
       (133*f[7, 99])/4 + (2333*f[7, 100])/8 + (259*f[7, 101])/8 + 
       44*f[7, 102] + (11*f[7, 103])/4 + 25*f[7, 104] + (137*f[7, 105])/16 - 
       (601*f[7, 106])/4 + (667*f[7, 107])/4 - (723*f[7, 108])/16 - 
       (477*f[7, 109])/16 + (323*f[7, 110])/32 + (557*f[7, 111])/16 - 
       (909*f[7, 112])/16 - 21*f[7, 113] - (389*f[7, 114])/16 - 
       (475*f[7, 115])/32 - (217*f[7, 116])/16 + (7015*f[7, 117])/8 + 
       (27*f[7, 118])/32 - (3773*f[7, 119])/32 - (887*f[7, 120])/16 + 
       (655*f[7, 121])/16 - (1645*f[7, 122])/16 - (549*f[7, 123])/16 + 
       (299*f[7, 124])/4 + (1055*f[7, 125])/16 - (423*f[7, 126])/8 + 
       (13*f[7, 136])/2 - (165*f[7, 137])/4 - (633*f[7, 138])/16 + 
       6*f[7, 146] - f[7, 147]/2 + (303*f[7, 148])/8 + (1417*f[7, 149])/16 + 
       (211*f[7, 150])/4)*HPL[{0, 1, 1}, 1 - v]*SPw3f1[v, u] + 
     (-f[7, 132]/5 + f[7, 134]/5 - (9*f[7, 135])/10 + (173*f[7, 136])/20 - 
       (2483*f[7, 137])/40 - (8443*f[7, 138])/160 + (2*f[7, 144])/5 + 
       f[7, 145] - (193*f[7, 146])/10 - (259*f[7, 147])/40 - 
       (5389*f[7, 148])/80 - (25749*f[7, 149])/160 - (4359*f[7, 150])/40)*
      HPL[{1}, 1 - u]*SPw2f1[u, v]*SPw3f1[v, u] + 
     (2*f[7, 43] + 2*f[7, 44] + f[7, 48]/2 + (3*f[7, 49])/2 + f[7, 51] + 
       (3*f[7, 54])/2 + (15*f[7, 56])/8 - (59*f[7, 57])/16 - 21*f[7, 58] + 
       (13*f[7, 59])/4 + (15*f[7, 60])/32 - (15*f[7, 61])/16 + 
       (165*f[7, 62])/16 + (165*f[7, 63])/16 - (165*f[7, 64])/16 + 
       (545*f[7, 65])/16 - (313*f[7, 66])/8 - (137*f[7, 67])/16 - 
       (313*f[7, 68])/4 - (313*f[7, 69])/4 + (313*f[7, 70])/16 - 
       (313*f[7, 71])/16 + (319*f[7, 72])/4 - (313*f[7, 73])/4 - 
       (313*f[7, 74])/4 + (77*f[7, 75])/16 + (3513*f[7, 76])/32 - 
       (2585*f[7, 77])/32 + (313*f[7, 78])/8 - (637*f[7, 79])/16 - 
       (43*f[7, 80])/16 - (147*f[7, 81])/4 + (2063*f[7, 82])/8 + 
       (629*f[7, 83])/4 + (567*f[7, 84])/16 - (3055*f[7, 85])/32 - 
       (4003*f[7, 86])/16 - (1811*f[7, 87])/16 + (555*f[7, 88])/16 - 
       (387*f[7, 89])/16 - (393*f[7, 90])/32 + (931*f[7, 91])/8 - 
       (923*f[7, 92])/8 - (2629*f[7, 93])/32 + (263*f[7, 94])/16 - 
       (2803*f[7, 95])/16 + (657*f[7, 96])/16 + (1003*f[7, 97])/16 + 
       (1003*f[7, 98])/16 - 69*f[7, 99] - (4921*f[7, 100])/8 - 
       (547*f[7, 101])/8 - (747*f[7, 102])/8 - (21*f[7, 103])/4 - 
       (431*f[7, 104])/8 - (257*f[7, 105])/16 + 319*f[7, 106] - 
       (1407*f[7, 107])/4 + (1519*f[7, 108])/16 + (993*f[7, 109])/16 - 
       (655*f[7, 110])/32 - (1145*f[7, 111])/16 + (1893*f[7, 112])/16 + 
       (363*f[7, 113])/8 + (821*f[7, 114])/16 + (1135*f[7, 115])/32 + 
       (437*f[7, 116])/16 - (14755*f[7, 117])/8 - (35*f[7, 118])/32 + 
       (7953*f[7, 119])/32 + (1881*f[7, 120])/16 - (1379*f[7, 121])/16 + 
       (3481*f[7, 122])/16 + (1149*f[7, 123])/16 - (315*f[7, 124])/2 - 
       (2235*f[7, 125])/16 + (893*f[7, 126])/8 + f[7, 135]/2 - 
       (25*f[7, 136])/2 + (349*f[7, 137])/4 + (1311*f[7, 138])/16 - 
       15*f[7, 146] - (5*f[7, 147])/4 - (637*f[7, 148])/8 - 
       (2953*f[7, 149])/16 - (2807*f[7, 150])/24)*SPw3f1[u, v]*SPw3f1[v, u] + 
     (f[7, 36]/2 + f[7, 43] + f[7, 44] - f[7, 48]/4 + (3*f[7, 49])/4 + 
       f[7, 51]/2 + f[7, 54] + (5*f[7, 56])/4 - (5*f[7, 57])/8 - 
       (13*f[7, 58])/2 + (7*f[7, 59])/12 + (13*f[7, 60])/16 - f[7, 61]/8 + 
       (287*f[7, 62])/96 + (287*f[7, 63])/96 - (287*f[7, 64])/96 + 
       (59*f[7, 65])/8 - (31*f[7, 66])/4 - (3*f[7, 67])/8 - (31*f[7, 68])/2 - 
       (31*f[7, 69])/2 + (29*f[7, 70])/8 - (29*f[7, 71])/8 + 
       (65*f[7, 72])/4 - (63*f[7, 73])/4 - (31*f[7, 74])/2 + 
       (97*f[7, 75])/48 + (347*f[7, 76])/16 - (253*f[7, 77])/16 + 
       (31*f[7, 78])/4 - (433*f[7, 79])/48 - f[7, 80]/48 - 19*f[7, 81] + 
       (583*f[7, 82])/12 + (131*f[7, 83])/4 + (337*f[7, 84])/48 - 
       (52*f[7, 85])/3 - (2269*f[7, 86])/48 - (1009*f[7, 87])/48 + 
       (329*f[7, 88])/48 - (575*f[7, 89])/96 - (31*f[7, 90])/12 + 
       (769*f[7, 91])/24 - (373*f[7, 92])/16 - (721*f[7, 93])/48 + 
       (103*f[7, 94])/16 - (539*f[7, 95])/16 + (163*f[7, 96])/16 + 
       (547*f[7, 97])/48 + (547*f[7, 98])/48 - (1201*f[7, 99])/96 - 
       (1517*f[7, 100])/12 - (1349*f[7, 101])/96 - (2225*f[7, 102])/96 + 
       (13*f[7, 103])/24 - (1513*f[7, 104])/96 - (41*f[7, 105])/24 + 
       (1657*f[7, 106])/24 - (1715*f[7, 107])/24 + (2129*f[7, 108])/96 + 
       (531*f[7, 109])/32 - (109*f[7, 110])/32 - (1097*f[7, 111])/96 + 
       (679*f[7, 112])/32 + (1127*f[7, 113])/96 + (149*f[7, 114])/12 + 
       (67*f[7, 115])/6 + (77*f[7, 116])/24 - (9205*f[7, 117])/24 + 
       (257*f[7, 118])/96 + (1265*f[7, 119])/24 + (777*f[7, 120])/32 - 
       (601*f[7, 121])/32 + (4339*f[7, 122])/96 + (473*f[7, 123])/32 - 
       (529*f[7, 124])/16 - (3061*f[7, 125])/96 + (2063*f[7, 126])/96 + 
       f[7, 133]/4 + f[7, 135]/8 - (29*f[7, 136])/8 + (359*f[7, 137])/8 + 
       (663*f[7, 138])/16 - f[7, 145]/2 - (9*f[7, 146])/2 - 
       (67*f[7, 147])/16 + (105*f[7, 148])/8 + (1155*f[7, 149])/32 + 
       (79*f[7, 150])/32)*SPw3f1[v, u]^2 + 
     (-f[7, 4]/12 + (49*f[7, 12])/72 - (4*f[7, 16])/9 + (4*f[7, 17])/9 + 
       (11*f[7, 19])/6 + (277*f[7, 20])/72 + f[7, 128]/3 - (47*f[7, 130])/9 - 
       (97*f[7, 131])/18 - f[7, 141]/12 - (5*f[7, 142])/18 - 
       (5*f[7, 143])/12)*HPL[{1}, 1 - u]^3*SPw3f2[u, v] + 
     ((-7*f[7, 19])/8 - (7*f[7, 20])/4 + 2*f[7, 130] + 2*f[7, 131] - 
       (3*f[7, 141])/4 - f[7, 142] + f[7, 143])*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*SPw3f2[u, v] + (-f[7, 130]/3 - (7*f[7, 131])/6 + 
       (5*f[7, 141])/12 - f[7, 142]/6 + f[7, 143]/3)*HPL[{1}, 1 - v]^3*
      SPw3f2[u, v] + (-f[7, 13] - (7*f[7, 21])/2 - f[7, 26]/5 + f[7, 27]/5 + 
       f[7, 28]/10 + (19*f[7, 30])/8 - f[7, 31]/5 + f[7, 32]/5 + 
       (3*f[7, 33])/5 - f[7, 35]/5 - f[7, 36]/10 - f[7, 37]/20 - 
       (4*f[7, 38])/5 - f[7, 39]/10 - (3*f[7, 40])/10 + f[7, 41]/20 + 
       f[7, 42]/20 + (3*f[7, 43])/10 + (3*f[7, 44])/5 - (9*f[7, 45])/10 - 
       (9*f[7, 46])/10 - (27*f[7, 47])/40 - (9*f[7, 48])/5 + 
       (7*f[7, 49])/40 - f[7, 50]/8 - (21*f[7, 51])/40 - (3*f[7, 52])/4 + 
       (7*f[7, 53])/40 - f[7, 54]/4 + 7*f[7, 55] + (19*f[7, 56])/10 + 
       (47*f[7, 57])/16 + (351*f[7, 58])/20 - (283*f[7, 59])/80 + 
       (453*f[7, 60])/160 + (63*f[7, 61])/16 - (2509*f[7, 62])/320 - 
       (2509*f[7, 63])/320 + (2509*f[7, 64])/320 + (2479*f[7, 65])/80 - 
       (337*f[7, 66])/10 - (281*f[7, 67])/10 - (1539*f[7, 68])/20 - 
       (729*f[7, 69])/10 + (793*f[7, 70])/40 - (159*f[7, 71])/8 + 
       (6523*f[7, 72])/80 - (6107*f[7, 73])/80 - (6217*f[7, 74])/80 - 
       (1697*f[7, 75])/80 + (6943*f[7, 76])/64 - (9407*f[7, 77])/160 + 
       (267*f[7, 78])/8 - (527*f[7, 79])/20 - (2231*f[7, 80])/160 + 
       (1875*f[7, 81])/16 + (23939*f[7, 82])/80 + (1423*f[7, 83])/8 + 
       (1131*f[7, 84])/40 - (19147*f[7, 85])/160 - (21783*f[7, 86])/80 - 
       (20511*f[7, 87])/160 + (115*f[7, 88])/4 - (2353*f[7, 89])/320 - 
       (159*f[7, 90])/80 - (1395*f[7, 91])/16 - (32627*f[7, 92])/320 - 
       (18823*f[7, 93])/160 - (19669*f[7, 94])/320 - (13361*f[7, 95])/80 - 
       (331*f[7, 96])/80 + (339*f[7, 97])/4 + (1673*f[7, 98])/20 - 
       (4799*f[7, 99])/64 - (6383*f[7, 100])/16 - (2629*f[7, 101])/80 - 
       (1227*f[7, 102])/320 - (10421*f[7, 103])/320 + (281*f[7, 104])/8 - 
       (7321*f[7, 105])/160 + (4177*f[7, 106])/20 - (13933*f[7, 107])/80 + 
       (2705*f[7, 108])/64 + (3929*f[7, 109])/320 - (9009*f[7, 110])/320 - 
       (36529*f[7, 111])/320 + (42313*f[7, 112])/320 - (3037*f[7, 113])/320 + 
       (3221*f[7, 114])/160 - (6599*f[7, 115])/160 + (787*f[7, 116])/16 - 
       (100503*f[7, 117])/80 - (1923*f[7, 118])/40 + (46837*f[7, 119])/320 + 
       (5945*f[7, 120])/64 - (13851*f[7, 121])/320 + (44427*f[7, 122])/320 + 
       (17943*f[7, 123])/320 - (15897*f[7, 124])/160 - 
       (14517*f[7, 125])/320 + (30171*f[7, 126])/320 + f[7, 132]/10 - 
       f[7, 134]/10 - (4*f[7, 135])/5 + (317*f[7, 136])/40 + 
       (791*f[7, 137])/10 + (20873*f[7, 138])/320 + f[7, 144]/5 + 
       3*f[7, 145] + (347*f[7, 146])/20 + (269*f[7, 147])/20 - 
       (5707*f[7, 148])/80 - (16451*f[7, 149])/80 - (7083*f[7, 150])/160)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*SPw3f2[u, v] + 
     f[7, 137]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*SPw3f2[u, v] + 
     (-f[7, 138]/8 - f[7, 147]/4 - (3*f[7, 148])/8 + f[7, 149]/2 - 
       (3*f[7, 150])/8)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*SPw3f2[u, v] + 
     (f[7, 65]/2 - f[7, 66]/2 - f[7, 67]/4 - f[7, 68] - f[7, 69] + 
       f[7, 70]/4 - f[7, 71]/4 + f[7, 72] - f[7, 73] - f[7, 74] + 
       (5*f[7, 76])/4 - (3*f[7, 77])/4 + (3*f[7, 78])/4 - (11*f[7, 79])/16 - 
       (7*f[7, 80])/16 - f[7, 81]/2 + (15*f[7, 82])/2 + (15*f[7, 83])/4 + 
       (11*f[7, 84])/16 - (21*f[7, 85])/8 - (17*f[7, 86])/4 - 
       (15*f[7, 87])/8 + (11*f[7, 88])/16 - f[7, 89]/4 - (7*f[7, 90])/16 + 
       (7*f[7, 91])/2 - (23*f[7, 92])/8 - 2*f[7, 93] - f[7, 94]/16 - 
       (49*f[7, 95])/16 + f[7, 96]/4 + f[7, 97] + f[7, 98] - 
       (11*f[7, 99])/8 - 6*f[7, 100] - f[7, 101]/2 - (3*f[7, 102])/2 - 
       f[7, 103]/4 - (5*f[7, 104])/8 - (11*f[7, 105])/16 + (11*f[7, 106])/2 - 
       2*f[7, 107] + (11*f[7, 108])/8 + (9*f[7, 109])/8 - (9*f[7, 110])/8 - 
       (13*f[7, 111])/8 + (37*f[7, 112])/16 - (3*f[7, 113])/16 + 
       (11*f[7, 114])/16 + (7*f[7, 115])/16 + (11*f[7, 116])/16 - 
       23*f[7, 117] - f[7, 118]/16 + (23*f[7, 119])/8 + (15*f[7, 120])/8 - 
       (11*f[7, 121])/8 + (31*f[7, 122])/8 + (11*f[7, 123])/8 - 
       (11*f[7, 124])/4 - (9*f[7, 125])/4 + (33*f[7, 126])/16 - 
       (21*f[7, 137])/4 - (39*f[7, 138])/8 - f[7, 147]/8 - 
       (279*f[7, 148])/32 - (161*f[7, 149])/8 - (387*f[7, 150])/32)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*SPw3f2[u, v] + 
     (-f[7, 22]/2 + 2*f[7, 24] + f[7, 25]/2 + f[7, 29]/2 - f[7, 34]/2 + 
       f[7, 40] + 2*f[7, 43] + 2*f[7, 44] - f[7, 45] - f[7, 46] - 
       f[7, 47]/2 - (3*f[7, 48])/4 + (7*f[7, 49])/4 + f[7, 50] + 
       (5*f[7, 51])/4 + f[7, 52] + (3*f[7, 53])/2 + 2*f[7, 54] + 
       (3*f[7, 55])/2 - (27*f[7, 57])/8 - 23*f[7, 58] + (7*f[7, 59])/3 + 
       (11*f[7, 60])/16 - (31*f[7, 61])/8 + (917*f[7, 62])/96 + 
       (917*f[7, 63])/96 - (917*f[7, 64])/96 + (207*f[7, 65])/8 - 
       (67*f[7, 66])/2 - (23*f[7, 67])/4 - 69*f[7, 68] - 69*f[7, 69] + 
       17*f[7, 70] - 18*f[7, 71] + 72*f[7, 72] - (277*f[7, 73])/4 - 
       69*f[7, 74] + (1211*f[7, 75])/96 + (389*f[7, 76])/4 - 
       (1151*f[7, 77])/16 + (77*f[7, 78])/2 - (3479*f[7, 79])/96 + 
       (43*f[7, 80])/96 - (377*f[7, 81])/8 + (5387*f[7, 82])/24 + 
       (463*f[7, 83])/4 + (3239*f[7, 84])/96 - (7841*f[7, 85])/96 - 
       (20987*f[7, 86])/96 - (9539*f[7, 87])/96 + (3319*f[7, 88])/96 - 
       (1937*f[7, 89])/96 - (941*f[7, 90])/96 + (3511*f[7, 91])/24 - 
       (3441*f[7, 92])/32 - (6437*f[7, 93])/96 + (781*f[7, 94])/32 - 
       (5041*f[7, 95])/32 + (599*f[7, 96])/16 + (2275*f[7, 97])/48 + 
       (2323*f[7, 98])/48 - (1417*f[7, 99])/24 - (6593*f[7, 100])/12 - 
       (5879*f[7, 101])/96 - (545*f[7, 102])/6 - (17*f[7, 103])/6 - 
       (5479*f[7, 104])/96 - (1013*f[7, 105])/96 + (7087*f[7, 106])/24 - 
       (7541*f[7, 107])/24 + (8609*f[7, 108])/96 + (1711*f[7, 109])/32 - 
       (35*f[7, 110])/2 - (5207*f[7, 111])/96 + (3495*f[7, 112])/32 + 
       (1229*f[7, 113])/24 + (4369*f[7, 114])/96 + (3997*f[7, 115])/96 + 
       (2861*f[7, 116])/96 - (40039*f[7, 117])/24 + (149*f[7, 118])/24 + 
       (10801*f[7, 119])/48 + (3337*f[7, 120])/32 - (2821*f[7, 121])/32 + 
       (21139*f[7, 122])/96 + (2197*f[7, 123])/32 - (2493*f[7, 124])/16 - 
       (14215*f[7, 125])/96 + (2747*f[7, 126])/24 - f[7, 133]/2 + f[7, 134] - 
       12*f[7, 136] + 69*f[7, 137] + (1135*f[7, 138])/16 - 23*f[7, 146] - 
       (11*f[7, 147])/2 - (665*f[7, 148])/8 - (1471*f[7, 149])/8 - 
       (6811*f[7, 150])/48)*HPL[{0, 0, 1}, 1 - u]*SPw3f2[u, v] + 
     (f[7, 135]/4 - (17*f[7, 136])/4 + (221*f[7, 137])/8 + 
       (757*f[7, 138])/32 + 9*f[7, 146] + (15*f[7, 147])/8 + 
       (477*f[7, 148])/16 + (2313*f[7, 149])/32 + (535*f[7, 150])/12)*
      HPL[{0, 0, 1}, 1 - v]*SPw3f2[u, v] + 
     (2*f[7, 21] - f[7, 30]/2 + f[7, 37]/2 + 4*f[7, 38] + 2*f[7, 45] + 
       f[7, 46] - (7*f[7, 47])/4 - f[7, 48] - f[7, 49]/4 + 5*f[7, 50] - 
       f[7, 51]/4 - (9*f[7, 52])/2 + (13*f[7, 53])/2 + 12*f[7, 55] - 
       f[7, 56]/8 + (113*f[7, 57])/16 + (35*f[7, 58])/2 - (185*f[7, 59])/24 + 
       (51*f[7, 60])/32 - (35*f[7, 61])/16 - (295*f[7, 62])/48 - 
       (295*f[7, 63])/48 + (295*f[7, 64])/48 - (175*f[7, 65])/16 + 
       (153*f[7, 66])/8 - (39*f[7, 67])/16 + (69*f[7, 68])/4 + 
       (65*f[7, 69])/4 - (89*f[7, 70])/16 + (89*f[7, 71])/16 - 
       (45*f[7, 72])/4 + (39*f[7, 73])/2 + (65*f[7, 74])/4 - 
       (205*f[7, 75])/12 - (357*f[7, 76])/32 + (663*f[7, 77])/32 - 
       (65*f[7, 78])/8 + (247*f[7, 79])/12 + (365*f[7, 80])/24 + 
       (973*f[7, 81])/8 - (2321*f[7, 82])/24 - (251*f[7, 83])/2 - 
       (443*f[7, 84])/24 + (2741*f[7, 85])/96 + (731*f[7, 86])/24 + 
       (161*f[7, 87])/24 - (367*f[7, 88])/24 + (433*f[7, 89])/48 + 
       (2903*f[7, 90])/96 - (79*f[7, 91])/24 + (289*f[7, 92])/8 + 
       (3125*f[7, 93])/96 - (283*f[7, 94])/16 + (317*f[7, 95])/8 - 
       (399*f[7, 96])/16 - (913*f[7, 97])/48 - (961*f[7, 98])/48 + 
       (773*f[7, 99])/48 + (3793*f[7, 100])/24 + (449*f[7, 101])/24 + 
       (1097*f[7, 102])/24 - (13*f[7, 103])/24 + (1799*f[7, 104])/48 + 
       (115*f[7, 105])/12 - (3979*f[7, 106])/24 + (1033*f[7, 107])/12 - 
       (1969*f[7, 108])/48 - (921*f[7, 109])/16 + (857*f[7, 110])/32 + 
       (757*f[7, 111])/48 - (491*f[7, 112])/16 + (413*f[7, 113])/48 - 
       (571*f[7, 114])/24 - (5131*f[7, 115])/96 + (61*f[7, 116])/24 + 
       (13927*f[7, 117])/24 - (671*f[7, 118])/96 - (7025*f[7, 119])/96 - 
       (431*f[7, 120])/8 + (649*f[7, 121])/16 - (4697*f[7, 122])/48 - 
       (519*f[7, 123])/16 + (143*f[7, 124])/2 + (3323*f[7, 125])/48 - 
       (1939*f[7, 126])/48 - f[7, 135]/2 + (17*f[7, 136])/2 - 
       (61*f[7, 137])/4 - (25*f[7, 138])/16 + 6*f[7, 145] + 
       (31*f[7, 146])/2 + (33*f[7, 147])/4 + (127*f[7, 148])/8 + 
       (683*f[7, 149])/16 + (1943*f[7, 150])/24)*HPL[{0, 1, 1}, 1 - u]*
      SPw3f2[u, v] + (-2*f[7, 136] - (81*f[7, 137])/8 - (293*f[7, 138])/32 + 
       2*f[7, 145] + 4*f[7, 146] + (17*f[7, 147])/4 - (33*f[7, 148])/4 - 
       (673*f[7, 149])/32 + (145*f[7, 150])/48)*HPL[{0, 1, 1}, 1 - v]*
      SPw3f2[u, v] + (2*f[7, 130] + 4*f[7, 131] - (3*f[7, 143])/2)*
      HPL[{1}, 1 - v]*SPw2f1[u, v]*SPw3f2[u, v] + 
     (f[7, 130] - 3*f[7, 131] - f[7, 142] - (7*f[7, 143])/4)*SPw3f2[u, v]^2 - 
     f[7, 128]*HPL[{1}, 1 - u]^3*SPw3f2[v, u] - f[7, 130]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*SPw3f2[v, u] + (f[7, 19]/12 + f[7, 20]/6 + 
       (2*f[7, 130])/3 - f[7, 131]/3 + f[7, 141]/2 + f[7, 142]/3 + 
       f[7, 143]/6)*HPL[{1}, 1 - v]^3*SPw3f2[v, u] + 
     (-f[7, 13] - (5*f[7, 21])/2 + (7*f[7, 30])/4 - f[7, 45] - f[7, 46] - 
       (5*f[7, 47])/8 - 2*f[7, 48] - f[7, 49]/4 + f[7, 50] - (3*f[7, 51])/4 - 
       (5*f[7, 52])/4 + (3*f[7, 53])/2 - f[7, 54]/2 + (49*f[7, 55])/8 + 
       (13*f[7, 56])/32 + (173*f[7, 57])/64 + (43*f[7, 58])/2 - 
       (217*f[7, 59])/48 + (215*f[7, 60])/128 + (65*f[7, 61])/64 - 
       (923*f[7, 62])/96 - (923*f[7, 63])/96 + (923*f[7, 64])/96 + 
       (461*f[7, 65])/64 - (299*f[7, 66])/32 - (1147*f[7, 67])/64 - 
       (445*f[7, 68])/16 - (395*f[7, 69])/16 + (515*f[7, 70])/64 - 
       (515*f[7, 71])/64 + (521*f[7, 72])/16 - (449*f[7, 73])/16 - 
       (465*f[7, 74])/16 - (7217*f[7, 75])/384 + (5405*f[7, 76])/128 - 
       (2085*f[7, 77])/128 + (331*f[7, 78])/32 - (751*f[7, 79])/384 - 
       (2215*f[7, 80])/384 + (3927*f[7, 81])/32 + (2857*f[7, 82])/24 + 
       (847*f[7, 83])/16 + (2443*f[7, 84])/384 - (9983*f[7, 85])/192 - 
       (43279*f[7, 86])/384 - (21199*f[7, 87])/384 + (2963*f[7, 88])/384 + 
       (187*f[7, 89])/48 + (647*f[7, 90])/96 - (9577*f[7, 91])/96 - 
       (3907*f[7, 92])/128 - (2513*f[7, 93])/48 - (6751*f[7, 94])/128 - 
       (7661*f[7, 95])/128 - (1161*f[7, 96])/64 + (6767*f[7, 97])/192 + 
       (6575*f[7, 98])/192 - (11591*f[7, 99])/384 - (8387*f[7, 100])/96 - 
       (461*f[7, 101])/192 + (13367*f[7, 102])/384 - (487*f[7, 103])/24 + 
       (4795*f[7, 104])/96 - (9091*f[7, 105])/384 + (131*f[7, 106])/6 - 
       (325*f[7, 107])/24 - (1009*f[7, 108])/192 - (1319*f[7, 109])/64 - 
       (281*f[7, 110])/32 - (5377*f[7, 111])/96 + (3429*f[7, 112])/64 - 
       (6875*f[7, 113])/384 - (2341*f[7, 114])/384 - (4837*f[7, 115])/96 + 
       (10519*f[7, 116])/384 - (24731*f[7, 117])/96 - (6475*f[7, 118])/192 + 
       (7633*f[7, 119])/384 + (1325*f[7, 120])/64 - (7*f[7, 121])/64 + 
       (3655*f[7, 122])/192 + (905*f[7, 123])/64 - (57*f[7, 124])/4 + 
       (421*f[7, 125])/24 + (10621*f[7, 126])/384 - f[7, 135] + 
       (39*f[7, 136])/4 + (483*f[7, 137])/16 + (787*f[7, 138])/32 + 
       (5*f[7, 145])/2 + (43*f[7, 146])/2 + (207*f[7, 147])/16 - 
       (703*f[7, 148])/32 - (4913*f[7, 149])/64 + (1841*f[7, 150])/96)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*SPw3f2[v, u] + 
     (f[7, 135]/4 - (5*f[7, 136])/2 - (21*f[7, 137])/8 - (91*f[7, 138])/32 + 
       (11*f[7, 146])/2 + (27*f[7, 147])/8 - (27*f[7, 148])/16 - 
       (273*f[7, 149])/32 + (401*f[7, 150])/48)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*SPw3f2[v, u] + (-9*f[7, 137] - (121*f[7, 138])/16 + 
       f[7, 147]/2 - (147*f[7, 148])/16 - (91*f[7, 149])/4 - 
       (177*f[7, 150])/16)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*SPw3f2[v, u] + 
     (-f[7, 22]/4 + f[7, 24] - f[7, 34]/4 + f[7, 43] + f[7, 44] - 
       (3*f[7, 45])/2 - (3*f[7, 46])/2 - f[7, 47]/4 - (13*f[7, 48])/8 + 
       (9*f[7, 49])/8 + f[7, 50] - (3*f[7, 51])/8 - (3*f[7, 52])/4 + 
       (3*f[7, 53])/4 - f[7, 54]/8 + (9*f[7, 55])/4 - (7*f[7, 56])/32 - 
       (33*f[7, 57])/64 - (3*f[7, 58])/2 - (59*f[7, 59])/48 + 
       (189*f[7, 60])/128 - (77*f[7, 61])/64 - (65*f[7, 62])/192 - 
       (65*f[7, 63])/192 + (65*f[7, 64])/192 + (91*f[7, 65])/64 - 
       (175*f[7, 66])/32 - (215*f[7, 67])/64 - (199*f[7, 68])/16 - 
       (199*f[7, 69])/16 + (207*f[7, 70])/64 - (239*f[7, 71])/64 + 
       (247*f[7, 72])/16 - (197*f[7, 73])/16 - (207*f[7, 74])/16 + 
       (155*f[7, 75])/96 + (2655*f[7, 76])/128 - (1635*f[7, 77])/128 + 
       (263*f[7, 78])/32 - (455*f[7, 79])/96 + (23*f[7, 80])/12 + 
       (49*f[7, 81])/4 + (4313*f[7, 82])/96 + (151*f[7, 83])/16 + 
       (155*f[7, 84])/24 - (6545*f[7, 85])/384 - (2329*f[7, 86])/48 - 
       (1141*f[7, 87])/48 + (347*f[7, 88])/48 - (145*f[7, 89])/192 + 
       (565*f[7, 90])/384 + (2311*f[7, 91])/96 - (1343*f[7, 92])/64 - 
       (5783*f[7, 93])/384 + (3*f[7, 94])/32 - (259*f[7, 95])/8 + 
       (75*f[7, 96])/64 + (1627*f[7, 97])/192 + (1915*f[7, 98])/192 - 
       (2279*f[7, 99])/192 - (8341*f[7, 100])/96 - (917*f[7, 101])/96 - 
       (1795*f[7, 102])/192 - (299*f[7, 103])/96 - (155*f[7, 104])/48 - 
       (359*f[7, 105])/96 + (137*f[7, 106])/3 - (2257*f[7, 107])/48 + 
       (2299*f[7, 108])/192 - (61*f[7, 109])/64 - (327*f[7, 110])/128 - 
       (2323*f[7, 111])/192 + (1671*f[7, 112])/64 + (2023*f[7, 113])/192 + 
       (397*f[7, 114])/96 - (203*f[7, 115])/384 + (1253*f[7, 116])/96 - 
       (25951*f[7, 117])/96 - (481*f[7, 118])/384 + (13433*f[7, 119])/384 + 
       (1027*f[7, 120])/64 - (1049*f[7, 121])/64 + (8549*f[7, 122])/192 + 
       (839*f[7, 123])/64 - (57*f[7, 124])/2 - (5081*f[7, 125])/192 + 
       (5431*f[7, 126])/192 - f[7, 133]/4 + f[7, 134]/2 - (5*f[7, 135])/8 - 
       (13*f[7, 136])/8 + (199*f[7, 137])/16 + (1133*f[7, 138])/64 - 
       (3*f[7, 146])/2 + (11*f[7, 147])/16 - (569*f[7, 148])/32 - 
       (2199*f[7, 149])/64 - (2369*f[7, 150])/96)*HPL[{0, 0, 1}, 1 - u]*
      SPw3f2[v, u] + (f[7, 133]/4 - f[7, 134]/2 - f[7, 135]/8 + 
       (45*f[7, 136])/8 - (329*f[7, 137])/16 - (1443*f[7, 138])/64 - 
       11*f[7, 146] - (67*f[7, 147])/16 - (863*f[7, 148])/32 - 
       (3473*f[7, 149])/64 - (5603*f[7, 150])/96)*HPL[{0, 0, 1}, 1 - v]*
      SPw3f2[v, u] + (3*f[7, 21] - (13*f[7, 30])/8 + f[7, 37]/4 + 
       2*f[7, 38] + f[7, 45] + f[7, 46] - f[7, 47] - f[7, 48]/2 - 
       f[7, 49]/8 + (23*f[7, 50])/4 - f[7, 51]/8 - (5*f[7, 52])/2 + 
       (13*f[7, 53])/2 + (17*f[7, 55])/2 - f[7, 56]/32 + (259*f[7, 57])/64 + 
       (43*f[7, 58])/4 - (49*f[7, 59])/12 + (121*f[7, 60])/128 - 
       (65*f[7, 61])/64 - (347*f[7, 62])/96 - (347*f[7, 63])/96 + 
       (347*f[7, 64])/96 - (801*f[7, 65])/64 + (501*f[7, 66])/32 + 
       (37*f[7, 67])/64 + (295*f[7, 68])/16 + (269*f[7, 69])/16 - 
       (309*f[7, 70])/64 + (309*f[7, 71])/64 - (221*f[7, 72])/16 + 
       (299*f[7, 73])/16 + (269*f[7, 74])/16 - (683*f[7, 75])/96 - 
       (1629*f[7, 76])/128 + (1329*f[7, 77])/128 - (197*f[7, 78])/32 + 
       (157*f[7, 79])/12 + (307*f[7, 80])/48 + (963*f[7, 81])/16 - 
       (8267*f[7, 82])/96 - (1523*f[7, 83])/16 - (1127*f[7, 84])/96 + 
       (10187*f[7, 85])/384 + (221*f[7, 86])/6 + (619*f[7, 87])/48 - 
       (949*f[7, 88])/96 + (221*f[7, 89])/24 + (5885*f[7, 90])/384 - 
       (1855*f[7, 91])/96 + (1759*f[7, 92])/64 + (12497*f[7, 93])/384 - 
       (427*f[7, 94])/32 + (1129*f[7, 95])/32 - (947*f[7, 96])/64 - 
       (2551*f[7, 97])/192 - (2743*f[7, 98])/192 + (1357*f[7, 99])/96 + 
       (11719*f[7, 100])/96 + (1777*f[7, 101])/192 + (3491*f[7, 102])/96 - 
       (61*f[7, 103])/96 + (4967*f[7, 104])/192 + (605*f[7, 105])/96 - 
       (2491*f[7, 106])/24 + (127*f[7, 107])/3 - (79*f[7, 108])/3 - 
       (1171*f[7, 109])/32 + (2731*f[7, 110])/128 + (119*f[7, 111])/6 - 
       (395*f[7, 112])/16 - (119*f[7, 113])/96 - (1453*f[7, 114])/96 - 
       (10411*f[7, 115])/384 + (421*f[7, 116])/96 + (39823*f[7, 117])/96 - 
       (2255*f[7, 118])/384 - (19751*f[7, 119])/384 - (1053*f[7, 120])/32 + 
       (835*f[7, 121])/32 - (2921*f[7, 122])/48 - (165*f[7, 123])/8 + 
       (1471*f[7, 124])/32 + (3979*f[7, 125])/96 - (2195*f[7, 126])/96 - 
       f[7, 135]/4 + (21*f[7, 136])/4 - (269*f[7, 137])/16 - 
       (569*f[7, 138])/64 + 2*f[7, 145] + (39*f[7, 146])/4 + 
       (43*f[7, 147])/8 + 17*f[7, 148] + (3365*f[7, 149])/64 + 
       (4595*f[7, 150])/96)*HPL[{0, 1, 1}, 1 - u]*SPw3f2[v, u] + 
     (f[7, 135]/4 - (21*f[7, 136])/4 - (107*f[7, 137])/16 - 
       (519*f[7, 138])/64 + 4*f[7, 145] + (39*f[7, 146])/4 + 
       (47*f[7, 147])/8 - (87*f[7, 148])/16 - (379*f[7, 149])/64 + 
       (2609*f[7, 150])/96)*HPL[{0, 1, 1}, 1 - v]*SPw3f2[v, u] + 
     (-f[7, 16] - (5*f[7, 19])/8 - (5*f[7, 20])/4 + 2*f[7, 130] + 
       4*f[7, 131] + f[7, 143])*HPL[{1}, 1 - u]*SPw2f1[u, v]*SPw3f2[v, u] + 
     (-2*f[7, 130] + f[7, 131] + f[7, 142] + (5*f[7, 143])/2)*HPL[{1}, 1 - v]*
      SPw2f1[u, v]*SPw3f2[v, u] + (2*f[7, 130] - f[7, 131] - f[7, 142] - 
       (5*f[7, 143])/2)*SPw3f2[u, v]*SPw3f2[v, u] + 
     (f[7, 16]/2 + f[7, 19]/16 + f[7, 20]/8 - f[7, 131]/2 + f[7, 142]/2 + 
       (3*f[7, 143])/2)*SPw3f2[v, u]^2 + f[7, 11]*HPL[{1}, 1 - u]^2*
      SPw4f1[v, u] + (-2*f[7, 137] - (7*f[7, 138])/4 - (9*f[7, 148])/4 - 
       (9*f[7, 149])/2 - (15*f[7, 150])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      SPw4f1[v, u] + (-2*f[7, 137] - (7*f[7, 138])/4 - (9*f[7, 148])/4 - 
       (9*f[7, 149])/2 - (15*f[7, 150])/4)*HPL[{1}, 1 - v]^2*SPw4f1[v, u] + 
     (-f[7, 34] + f[7, 133]/2 + f[7, 135]/4 + (21*f[7, 136])/4 + 
       (119*f[7, 137])/4 + (61*f[7, 138])/2 - f[7, 145] - 10*f[7, 146] - 
       (67*f[7, 147])/8 + (127*f[7, 148])/4 + (1267*f[7, 149])/16 + 
       (593*f[7, 150])/48)*HPL[{0, 1}, 1 - v]*SPw4f1[v, u] + 
     (4*f[7, 137] + (7*f[7, 138])/2 + (9*f[7, 148])/2 + 9*f[7, 149] + 
       (15*f[7, 150])/2)*SPw2f1[u, v]*SPw4f1[v, u] + 
     2*f[7, 17]*SPw2f1[u, v]*SPw4f2[u, v] + 
     (f[7, 137]/4 + f[7, 147]/8 + (13*f[7, 148])/32 + (5*f[7, 149])/8 + 
       (29*f[7, 150])/32)*HPL[{0, 1}, 1 - v]*SPw4f2[v, u] + 
     (f[7, 35] + f[7, 40] - f[7, 49]/2 + f[7, 51]/2 - (5*f[7, 52])/2 + 
       2*f[7, 53] + f[7, 54] - 4*f[7, 55] - (11*f[7, 56])/4 - 
       (41*f[7, 57])/8 + (5*f[7, 58])/2 + (41*f[7, 59])/12 - 
       (71*f[7, 60])/16 - (93*f[7, 61])/8 + (325*f[7, 62])/96 + 
       (325*f[7, 63])/96 - (325*f[7, 64])/96 - (43*f[7, 65])/8 - 
       (5*f[7, 66])/2 - f[7, 67] - 7*f[7, 68] - 7*f[7, 69] + 4*f[7, 70] - 
       4*f[7, 71] + 7*f[7, 72] - (35*f[7, 73])/4 - 7*f[7, 74] + 
       (209*f[7, 75])/48 + (143*f[7, 76])/16 - (347*f[7, 77])/16 + 
       (7*f[7, 78])/2 + (185*f[7, 79])/24 + (22*f[7, 80])/3 + 70*f[7, 81] - 
       (7*f[7, 82])/12 - 53*f[7, 83] + (55*f[7, 84])/24 - (133*f[7, 85])/24 - 
       (815*f[7, 86])/48 - (203*f[7, 87])/48 + (107*f[7, 88])/24 - 
       (157*f[7, 89])/96 + (19*f[7, 90])/48 + (239*f[7, 91])/24 + 
       (27*f[7, 92])/16 + (469*f[7, 93])/48 - (131*f[7, 94])/16 - 
       21*f[7, 95] + (283*f[7, 96])/16 - (487*f[7, 97])/48 - 
       (487*f[7, 98])/48 - (1079*f[7, 99])/96 - (1825*f[7, 100])/12 - 
       (2287*f[7, 101])/96 + (719*f[7, 102])/96 + (191*f[7, 103])/24 + 
       (1579*f[7, 104])/96 + (943*f[7, 105])/48 - (61*f[7, 106])/24 - 
       (2725*f[7, 107])/24 + (523*f[7, 108])/96 - (359*f[7, 109])/32 + 
       (437*f[7, 110])/32 - (163*f[7, 111])/96 + (435*f[7, 112])/32 + 
       (1561*f[7, 113])/96 - (245*f[7, 114])/48 - (521*f[7, 115])/48 + 
       (173*f[7, 116])/48 - (6515*f[7, 117])/24 + (571*f[7, 118])/96 + 
       (539*f[7, 119])/12 + (67*f[7, 120])/32 - (603*f[7, 121])/32 + 
       (2849*f[7, 122])/96 + (435*f[7, 123])/32 - (523*f[7, 124])/16 - 
       (3347*f[7, 125])/96 + (1339*f[7, 126])/96 + f[7, 136] + 
       (13*f[7, 137])/2 + (239*f[7, 138])/16 + (11*f[7, 146])/2 + 
       7*f[7, 147] - (227*f[7, 148])/16 - (193*f[7, 149])/8 - 
       (763*f[7, 150])/24)*HPL[{1}, 1 - v]^2*SPw4f3[u, v] + 
     (f[7, 135]/2 - (9*f[7, 136])/2 + (153*f[7, 137])/4 + 
       (577*f[7, 138])/16 + 10*f[7, 146] + (5*f[7, 147])/4 + 
       (345*f[7, 148])/8 + (1613*f[7, 149])/16 + (125*f[7, 150])/2)*
      HPL[{0, 1}, 1 - v]*SPw4f3[u, v] + (-f[7, 65]/2 + f[7, 66]/2 + 
       f[7, 67]/4 + f[7, 68] + f[7, 69] - f[7, 70]/4 + f[7, 71]/4 - 
       f[7, 72] + f[7, 73] + f[7, 74] - (9*f[7, 75])/16 - (3*f[7, 76])/2 + 
       (7*f[7, 77])/4 - f[7, 78] + (13*f[7, 79])/16 + (13*f[7, 80])/16 + 
       (13*f[7, 81])/4 - (11*f[7, 82])/4 - 5*f[7, 83] - (13*f[7, 84])/16 + 
       (21*f[7, 85])/16 + (53*f[7, 86])/16 + (21*f[7, 87])/16 - 
       (13*f[7, 88])/16 + (13*f[7, 90])/16 + 5*f[7, 91] + (21*f[7, 92])/16 + 
       (17*f[7, 93])/16 + (11*f[7, 94])/16 + (41*f[7, 95])/16 - f[7, 96]/2 - 
       f[7, 97] - f[7, 98] + (17*f[7, 99])/16 + 8*f[7, 100] + 
       (5*f[7, 101])/4 + (11*f[7, 102])/16 + f[7, 103]/2 + f[7, 104]/8 + 
       (13*f[7, 105])/16 - (13*f[7, 106])/2 + 7*f[7, 107] - 
       (13*f[7, 108])/8 - (11*f[7, 109])/8 + (5*f[7, 110])/16 + 
       (3*f[7, 111])/4 - (17*f[7, 112])/8 + (13*f[7, 113])/16 - 
       (13*f[7, 114])/16 - (23*f[7, 115])/16 - (17*f[7, 116])/16 + 
       29*f[7, 117] + (11*f[7, 118])/16 - (29*f[7, 119])/8 - 
       (21*f[7, 120])/8 + (13*f[7, 121])/8 - (37*f[7, 122])/8 - 
       (13*f[7, 123])/8 + (13*f[7, 124])/4 + (11*f[7, 125])/4 - 
       (43*f[7, 126])/16 - f[7, 137] + f[7, 138]/8 + f[7, 147]/2 + 
       (5*f[7, 148])/4 + 2*f[7, 149] + 3*f[7, 150])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*SPw4f3[v, u] + (4*f[7, 136] + (67*f[7, 137])/4 + 
       (75*f[7, 138])/4 - 2*f[7, 145] - 8*f[7, 146] - (31*f[7, 147])/4 + 
       (233*f[7, 148])/16 + (677*f[7, 149])/16 - (455*f[7, 150])/48)*
      HPL[{1}, 1 - v]^2*SPw4f3[v, u] + (f[7, 48] - f[7, 54]/2 - f[7, 56]/8 - 
       (35*f[7, 57])/16 - 10*f[7, 58] + (7*f[7, 59])/4 - (25*f[7, 60])/32 + 
       (9*f[7, 61])/16 + (19*f[7, 62])/4 + (19*f[7, 63])/4 - 
       (19*f[7, 64])/4 + (265*f[7, 65])/16 - (153*f[7, 66])/8 - 
       (73*f[7, 67])/16 - (153*f[7, 68])/4 - (153*f[7, 69])/4 + 
       (153*f[7, 70])/16 - (153*f[7, 71])/16 + (153*f[7, 72])/4 - 
       (153*f[7, 73])/4 - (153*f[7, 74])/4 + (21*f[7, 75])/16 + 
       (1713*f[7, 76])/32 - (1249*f[7, 77])/32 + (153*f[7, 78])/8 - 
       (305*f[7, 79])/16 - (21*f[7, 80])/16 - (65*f[7, 81])/4 + 
       (1011*f[7, 82])/8 + (303*f[7, 83])/4 + (275*f[7, 84])/16 - 
       (1503*f[7, 85])/32 - (1955*f[7, 86])/16 - (883*f[7, 87])/16 + 
       (263*f[7, 88])/16 - (89*f[7, 89])/8 - (217*f[7, 90])/32 + 
       (409*f[7, 91])/8 - (225*f[7, 92])/4 - (1285*f[7, 93])/32 + 
       (109*f[7, 94])/16 - (1359*f[7, 95])/16 + (303*f[7, 96])/16 + 
       (501*f[7, 97])/16 + (501*f[7, 98])/16 - (543*f[7, 99])/16 - 
       (2349*f[7, 100])/8 - (517*f[7, 101])/16 - (699*f[7, 102])/16 - 
       (31*f[7, 103])/8 - (387*f[7, 104])/16 - (143*f[7, 105])/16 + 
       (609*f[7, 106])/4 - (335*f[7, 107])/2 + (175*f[7, 108])/4 + 
       (223*f[7, 109])/8 - (345*f[7, 110])/32 - (289*f[7, 111])/8 + 
       (461*f[7, 112])/8 + (331*f[7, 113])/16 + (383*f[7, 114])/16 + 
       (507*f[7, 115])/32 + (219*f[7, 116])/16 - (7041*f[7, 117])/8 - 
       (101*f[7, 118])/32 + (3761*f[7, 119])/32 + (115*f[7, 120])/2 - 
       (321*f[7, 121])/8 + 103*f[7, 122] + (135*f[7, 123])/4 - 
       (591*f[7, 124])/8 - 64*f[7, 125] + (863*f[7, 126])/16 + f[7, 135]/2 - 
       (9*f[7, 136])/2 + (153*f[7, 137])/4 + (577*f[7, 138])/16 - 
       10*f[7, 146] - (5*f[7, 147])/4 - (345*f[7, 148])/8 - 
       (1613*f[7, 149])/16 - (125*f[7, 150])/2)*HPL[{0, 1}, 1 - v]*
      SPw4f3[v, u] + (-f[7, 41] - f[7, 42] - f[7, 47] + f[7, 48]/2 + 
       f[7, 49] + f[7, 51]/2 + f[7, 54] - (5*f[7, 56])/8 + (71*f[7, 57])/16 + 
       18*f[7, 58] - (14*f[7, 59])/3 + (5*f[7, 60])/32 - (45*f[7, 61])/16 - 
       (401*f[7, 62])/48 - (401*f[7, 63])/48 + (401*f[7, 64])/48 - 
       (261*f[7, 65])/16 + (149*f[7, 66])/8 + (5*f[7, 67])/16 + 
       (149*f[7, 68])/4 + (149*f[7, 69])/4 - (149*f[7, 70])/16 + 
       (149*f[7, 71])/16 - (145*f[7, 72])/4 + (149*f[7, 73])/4 + 
       (145*f[7, 74])/4 - (275*f[7, 75])/48 - (1581*f[7, 76])/32 + 
       (1229*f[7, 77])/32 - (149*f[7, 78])/8 + (935*f[7, 79])/48 - 
       (145*f[7, 80])/48 + (93*f[7, 81])/2 - (2749*f[7, 82])/24 - 
       (287*f[7, 83])/4 - (869*f[7, 84])/48 + (3889*f[7, 85])/96 + 
       (5297*f[7, 86])/48 + (2345*f[7, 87])/48 - (769*f[7, 88])/48 + 
       (659*f[7, 89])/48 + (727*f[7, 90])/96 - (2273*f[7, 91])/24 + 
       54*f[7, 92] + (3331*f[7, 93])/96 - (437*f[7, 94])/16 + 
       (1295*f[7, 95])/16 - (401*f[7, 96])/16 - (1217*f[7, 97])/48 - 
       (1217*f[7, 98])/48 + (749*f[7, 99])/24 + (7439*f[7, 100])/24 + 
       (104*f[7, 101])/3 + (188*f[7, 102])/3 - (11*f[7, 103])/6 + 
       (127*f[7, 104])/3 + (107*f[7, 105])/48 - (1939*f[7, 106])/12 + 
       (2111*f[7, 107])/12 - (2387*f[7, 108])/48 - (551*f[7, 109])/16 + 
       (271*f[7, 110])/32 + (1241*f[7, 111])/48 - (819*f[7, 112])/16 - 
       (101*f[7, 113])/3 - (1387*f[7, 114])/48 - (2969*f[7, 115])/96 - 
       (383*f[7, 116])/48 + (21977*f[7, 117])/24 - (463*f[7, 118])/96 - 
       (12199*f[7, 119])/96 - (973*f[7, 120])/16 + (737*f[7, 121])/16 - 
       (5413*f[7, 122])/48 - (503*f[7, 123])/16 + 78*f[7, 124] + 
       (3751*f[7, 125])/48 - (653*f[7, 126])/12 + 9*f[7, 136] - 
       (149*f[7, 137])/4 - (617*f[7, 138])/16 + 18*f[7, 146] + 
       (11*f[7, 147])/2 + (373*f[7, 148])/8 + (1577*f[7, 149])/16 + 
       (1861*f[7, 150])/24)*HPL[{0, 1}, 1 - u]*SPw4f4[v, u] + 
     (-4*f[7, 136] - (107*f[7, 137])/4 - (401*f[7, 138])/16 + 2*f[7, 145] + 
       8*f[7, 146] + (13*f[7, 147])/2 - (53*f[7, 148])/2 - 
       (1083*f[7, 149])/16 - (241*f[7, 150])/24)*HPL[{0, 1}, 1 - v]*
      SPw4f4[v, u] + (-2*f[7, 31] + 8*f[7, 33] - f[7, 50] - f[7, 62]/2 - 
       f[7, 63]/2 + f[7, 64]/2 - 2*f[7, 81] + f[7, 89]/2 - (5*f[7, 91])/2 - 
       f[7, 96] + f[7, 97] + f[7, 98] + f[7, 99]/2 + 4*f[7, 100] + 
       f[7, 101]/2 + f[7, 102]/2 - f[7, 103] + f[7, 104]/2 - f[7, 105] - 
       2*f[7, 106] + 2*f[7, 107] - (3*f[7, 108])/2 - (3*f[7, 109])/2 - 
       f[7, 110]/2 - f[7, 111]/2 + f[7, 112]/2 - f[7, 113]/2 - f[7, 114] - 
       f[7, 115] + f[7, 116] + 10*f[7, 117] - (3*f[7, 118])/2 - 2*f[7, 119] - 
       f[7, 120]/2 + f[7, 121]/2 - f[7, 122]/2 - f[7, 123]/2 + f[7, 124] + 
       (3*f[7, 125])/2 + f[7, 126]/2 + 2*f[7, 150])*HPL[{1}, 1 - u]^2*
      SPw4f5[u, v] + (-f[7, 138]/4 - f[7, 147]/2 - (3*f[7, 148])/4 + 
       f[7, 149] - (3*f[7, 150])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      SPw4f5[u, v] + (-f[7, 52] - f[7, 56]/4 + (3*f[7, 57])/8 + 3*f[7, 58] + 
       f[7, 59]/6 + f[7, 60]/16 - f[7, 61]/8 - (49*f[7, 62])/48 - 
       (49*f[7, 63])/48 + (49*f[7, 64])/48 - (21*f[7, 65])/8 + 
       (11*f[7, 66])/4 - f[7, 67]/8 + (11*f[7, 68])/2 + (11*f[7, 69])/2 - 
       (11*f[7, 70])/8 + (11*f[7, 71])/8 - (11*f[7, 72])/2 + 
       (13*f[7, 73])/2 + (11*f[7, 74])/2 - (5*f[7, 75])/6 - 
       (117*f[7, 76])/16 + (73*f[7, 77])/16 - (11*f[7, 78])/4 + 
       (83*f[7, 79])/24 + f[7, 80]/3 + 9*f[7, 81] - (217*f[7, 82])/12 - 
       (21*f[7, 83])/2 - (65*f[7, 84])/24 + (295*f[7, 85])/48 + 
       (49*f[7, 86])/3 + (22*f[7, 87])/3 - (61*f[7, 88])/24 + 
       (109*f[7, 89])/48 + (67*f[7, 90])/48 - (47*f[7, 91])/3 + 
       (37*f[7, 92])/4 + (229*f[7, 93])/48 - (39*f[7, 94])/8 + 
       (93*f[7, 95])/8 - (7*f[7, 96])/2 - (43*f[7, 97])/12 - 
       (43*f[7, 98])/12 + (221*f[7, 99])/48 + (509*f[7, 100])/12 + 
       (199*f[7, 101])/48 + (469*f[7, 102])/48 - (13*f[7, 103])/24 + 
       (335*f[7, 104])/48 + (4*f[7, 105])/3 - (311*f[7, 106])/12 + 
       (265*f[7, 107])/12 - (391*f[7, 108])/48 - (113*f[7, 109])/16 + 
       (7*f[7, 110])/2 + (199*f[7, 111])/48 - (119*f[7, 112])/16 - 
       (187*f[7, 113])/48 - (59*f[7, 114])/12 - (251*f[7, 115])/48 - 
       (5*f[7, 116])/6 + (395*f[7, 117])/3 - (4*f[7, 118])/3 - 
       (871*f[7, 119])/48 - (147*f[7, 120])/16 + (107*f[7, 121])/16 - 
       (809*f[7, 122])/48 - (79*f[7, 123])/16 + (93*f[7, 124])/8 + 
       (551*f[7, 125])/48 - (373*f[7, 126])/48 - (7*f[7, 136])/2 + 
       14*f[7, 137] + 10*f[7, 138] + 13*f[7, 146] + (9*f[7, 147])/2 + 
       (217*f[7, 148])/8 + 64*f[7, 149] + (139*f[7, 150])/3)*
      HPL[{0, 1}, 1 - v]*SPw4f5[u, v] + 
     (-f[7, 48] - f[7, 51]/2 - f[7, 54]/2 + (3*f[7, 56])/8 + f[7, 57]/16 + 
       3*f[7, 58] - (35*f[7, 59])/12 + (19*f[7, 60])/32 + (13*f[7, 61])/16 - 
       (83*f[7, 62])/48 - (83*f[7, 63])/48 + (83*f[7, 64])/48 - 
       (131*f[7, 65])/16 + (75*f[7, 66])/8 + (43*f[7, 67])/16 + 
       (75*f[7, 68])/4 + (75*f[7, 69])/4 - (75*f[7, 70])/16 + 
       (75*f[7, 71])/16 - (75*f[7, 72])/4 + (75*f[7, 73])/4 + 
       (75*f[7, 74])/4 - (77*f[7, 75])/48 - (827*f[7, 76])/32 + 
       (619*f[7, 77])/32 - (75*f[7, 78])/8 + (461*f[7, 79])/48 + 
       (83*f[7, 80])/48 + (31*f[7, 81])/4 - (1495*f[7, 82])/24 - 
       (151*f[7, 83])/4 - (407*f[7, 84])/48 + (2263*f[7, 85])/96 + 
       (2843*f[7, 86])/48 + (1283*f[7, 87])/48 - (427*f[7, 88])/48 + 
       (233*f[7, 89])/48 + (337*f[7, 90])/96 - (335*f[7, 91])/24 + 
       (221*f[7, 92])/8 + (1885*f[7, 93])/96 + (41*f[7, 94])/16 + 
       (673*f[7, 95])/16 - (143*f[7, 96])/16 - (839*f[7, 97])/48 - 
       (839*f[7, 98])/48 + (395*f[7, 99])/24 + (3353*f[7, 100])/24 + 
       (185*f[7, 101])/12 + (403*f[7, 102])/24 + (19*f[7, 103])/6 + 
       (191*f[7, 104])/24 + (245*f[7, 105])/48 - (229*f[7, 106])/3 + 
       (965*f[7, 107])/12 - (977*f[7, 108])/48 - (193*f[7, 109])/16 + 
       (169*f[7, 110])/32 + (899*f[7, 111])/48 - (477*f[7, 112])/16 - 
       (187*f[7, 113])/24 - (481*f[7, 114])/48 - (623*f[7, 115])/96 - 
       (401*f[7, 116])/48 + (10151*f[7, 117])/24 + (371*f[7, 118])/96 - 
       (5353*f[7, 119])/96 - (453*f[7, 120])/16 + (315*f[7, 121])/16 - 
       (2479*f[7, 122])/48 - (289*f[7, 123])/16 + (151*f[7, 124])/4 + 
       (1501*f[7, 125])/48 - (335*f[7, 126])/12 - f[7, 135]/2 + f[7, 136] - 
       (75*f[7, 137])/4 - (265*f[7, 138])/16 + 3*f[7, 146] + f[7, 147]/4 + 
       (161*f[7, 148])/8 + (799*f[7, 149])/16 + (733*f[7, 150])/24)*
      SPw2f1[u, v]*SPw4f5[u, v] + (2*f[7, 31] - 4*f[7, 33] + (5*f[7, 62])/8 + 
       (5*f[7, 63])/8 - (5*f[7, 64])/8 + (5*f[7, 81])/2 - (5*f[7, 89])/8 + 
       (5*f[7, 91])/2 + (5*f[7, 96])/4 - (5*f[7, 97])/4 - (5*f[7, 98])/4 - 
       (5*f[7, 99])/8 - 5*f[7, 100] - (5*f[7, 101])/8 - (5*f[7, 102])/8 + 
       (5*f[7, 103])/4 - (5*f[7, 104])/8 + (5*f[7, 105])/4 + 
       (5*f[7, 106])/2 - (5*f[7, 107])/2 + (15*f[7, 108])/8 + 
       (15*f[7, 109])/8 + (5*f[7, 110])/8 + (5*f[7, 111])/8 - 
       (5*f[7, 112])/8 + (5*f[7, 113])/8 + (5*f[7, 114])/4 + 
       (5*f[7, 115])/4 - (5*f[7, 116])/4 - (25*f[7, 117])/2 + 
       (15*f[7, 118])/8 + (5*f[7, 119])/2 + (5*f[7, 120])/8 - 
       (5*f[7, 121])/8 + (5*f[7, 122])/8 + (5*f[7, 123])/8 - 
       (5*f[7, 124])/4 - (15*f[7, 125])/8 - (5*f[7, 126])/8 - 
       (5*f[7, 150])/2)*HPL[{1}, 1 - u]^2*SPw4f5[v, u] + 
     (-f[7, 135]/2 + (7*f[7, 136])/2 + (13*f[7, 137])/4 + (75*f[7, 138])/16 - 
       8*f[7, 146] - (21*f[7, 147])/4 + (17*f[7, 148])/8 + 
       (177*f[7, 149])/16 - (109*f[7, 150])/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*SPw4f5[v, u] + (-f[7, 135]/8 + f[7, 136] - 
       (9*f[7, 137])/16 - (59*f[7, 138])/64 - f[7, 145] - (9*f[7, 146])/4 - 
       (17*f[7, 147])/16 - (45*f[7, 148])/32 - (301*f[7, 149])/64 - 
       (219*f[7, 150])/32)*HPL[{1}, 1 - v]^2*SPw4f5[v, u] + 
     (-f[7, 136]/2 - (11*f[7, 137])/4 + (13*f[7, 138])/16 + 2*f[7, 146] + 
       (3*f[7, 147])/2 - (3*f[7, 148])/8 - (107*f[7, 149])/16 + 
       (157*f[7, 150])/24)*HPL[{0, 1}, 1 - u]*SPw4f5[v, u] + 
     (2*f[7, 136] + (119*f[7, 137])/4 + (469*f[7, 138])/16 - 2*f[7, 145] - 
       4*f[7, 146] - (9*f[7, 147])/2 + 32*f[7, 148] + (1207*f[7, 149])/16 + 
       (191*f[7, 150])/8)*HPL[{0, 1}, 1 - v]*SPw4f5[v, u] + 
     (-f[7, 137] - (3*f[7, 138])/4 - f[7, 148] - (5*f[7, 149])/2 - 
       (3*f[7, 150])/2)*HPL[{1}, 1 - v]^2*SPw4f7[u, v] - 
     f[7, 129]*HPL[{0, 1}, 1 - u]*SPw4f7[u, v] + 
     (f[7, 56]/8 + (9*f[7, 57])/16 + 7*f[7, 58] - (13*f[7, 59])/12 + 
       (3*f[7, 60])/32 + (13*f[7, 61])/16 - (151*f[7, 62])/48 - 
       (151*f[7, 63])/48 + (151*f[7, 64])/48 - (51*f[7, 65])/16 + 
       (35*f[7, 66])/8 - (21*f[7, 67])/16 + (35*f[7, 68])/4 + 
       (35*f[7, 69])/4 - (35*f[7, 70])/16 + (35*f[7, 71])/16 - 
       (35*f[7, 72])/4 + (35*f[7, 73])/4 + (35*f[7, 74])/4 - 
       (169*f[7, 75])/48 - (347*f[7, 76])/32 + (299*f[7, 77])/32 - 
       (35*f[7, 78])/8 + (229*f[7, 79])/48 - (113*f[7, 80])/48 + 
       (69*f[7, 81])/4 - (575*f[7, 82])/24 - (55*f[7, 83])/4 - 
       (199*f[7, 84])/48 + (743*f[7, 85])/96 + (1135*f[7, 86])/48 + 
       (475*f[7, 87])/48 - (203*f[7, 88])/48 + (205*f[7, 89])/48 + 
       (65*f[7, 90])/96 - (1087*f[7, 91])/24 + (103*f[7, 92])/8 + 
       (581*f[7, 93])/96 - (215*f[7, 94])/16 + (309*f[7, 95])/16 - 
       (135*f[7, 96])/16 - (103*f[7, 97])/48 - (103*f[7, 98])/48 + 
       (151*f[7, 99])/24 + (2041*f[7, 100])/24 + (59*f[7, 101])/6 + 
       (533*f[7, 102])/24 - (19*f[7, 103])/6 + (409*f[7, 104])/24 - 
       (143*f[7, 105])/48 - (247*f[7, 106])/6 + (577*f[7, 107])/12 - 
       (721*f[7, 108])/48 - (165*f[7, 109])/16 + (33*f[7, 110])/32 + 
       (127*f[7, 111])/48 - (169*f[7, 112])/16 - (329*f[7, 113])/24 - 
       (389*f[7, 114])/48 - (1015*f[7, 115])/96 - (13*f[7, 116])/48 + 
       (5791*f[7, 117])/24 - (629*f[7, 118])/96 - (3329*f[7, 119])/96 - 
       (205*f[7, 120])/16 + (223*f[7, 121])/16 - (1499*f[7, 122])/48 - 
       (133*f[7, 123])/16 + (89*f[7, 124])/4 + (1229*f[7, 125])/48 - 
       (163*f[7, 126])/12 + f[7, 136] - 4*f[7, 137] - (31*f[7, 138])/8 + 
       12*f[7, 146] + (11*f[7, 147])/2 + (167*f[7, 148])/8 + 
       (279*f[7, 149])/8 + (985*f[7, 150])/24)*HPL[{0, 1}, 1 - v]*
      SPw4f7[u, v] + (-2*f[7, 137] - (5*f[7, 138])/4 + f[7, 147]/2 - 
       (5*f[7, 148])/4 - 6*f[7, 149] - (17*f[7, 150])/4)*HPL[{1}, 1 - v]*
      SPw5f10[u, v] + (4*f[7, 136] + (105*f[7, 137])/4 + (399*f[7, 138])/16 - 
       2*f[7, 145] - 8*f[7, 146] - (13*f[7, 147])/2 + (105*f[7, 148])/4 + 
       (1065*f[7, 149])/16 + (257*f[7, 150])/24)*HPL[{1}, 1 - v]*
      SPw5f10[v, u] + (2*f[7, 45] + 2*f[7, 46] - f[7, 47]/2 - f[7, 48] - 
       f[7, 49]/2 - f[7, 52] + f[7, 53] + f[7, 54]/2 + f[7, 55] + 
       (3*f[7, 56])/2 + (17*f[7, 57])/8 + 6*f[7, 58] - (67*f[7, 59])/12 + 
       (11*f[7, 60])/16 + (9*f[7, 61])/8 - f[7, 62]/12 - f[7, 63]/12 + 
       f[7, 64]/12 - (31*f[7, 65])/8 + (33*f[7, 66])/4 + (9*f[7, 67])/8 + 
       (23*f[7, 68])/2 + (25*f[7, 69])/2 - (29*f[7, 70])/8 + 
       (29*f[7, 71])/8 - (25*f[7, 72])/2 + 13*f[7, 73] + (25*f[7, 74])/2 - 
       (229*f[7, 75])/48 - (269*f[7, 76])/16 + (195*f[7, 77])/16 - 
       (25*f[7, 78])/4 + (439*f[7, 79])/48 + (73*f[7, 80])/48 + 
       (69*f[7, 81])/2 - (130*f[7, 82])/3 - (67*f[7, 83])/2 - 
       (355*f[7, 84])/48 + (353*f[7, 85])/24 + (1741*f[7, 86])/48 + 
       (817*f[7, 87])/48 - (371*f[7, 88])/48 + (17*f[7, 89])/6 + 
       (161*f[7, 90])/24 - (89*f[7, 91])/12 + (341*f[7, 92])/16 + 
       (145*f[7, 93])/12 - (5*f[7, 94])/16 + (433*f[7, 95])/16 - 
       (43*f[7, 96])/8 - (335*f[7, 97])/24 - (383*f[7, 98])/24 + 
       (425*f[7, 99])/48 + (1079*f[7, 100])/12 + (121*f[7, 101])/12 + 
       (727*f[7, 102])/48 + (53*f[7, 103])/24 + (271*f[7, 104])/24 + 
       (367*f[7, 105])/48 - (809*f[7, 106])/12 + (139*f[7, 107])/3 - 
       (335*f[7, 108])/24 - (75*f[7, 109])/8 + 9*f[7, 110] + 
       (115*f[7, 111])/12 - (43*f[7, 112])/2 - (229*f[7, 113])/48 - 
       (299*f[7, 114])/48 - (289*f[7, 115])/24 - (391*f[7, 116])/48 + 
       (3437*f[7, 117])/12 + (85*f[7, 118])/24 - (1801*f[7, 119])/48 - 
       (47*f[7, 120])/2 + (131*f[7, 121])/8 - (1093*f[7, 122])/24 - 
       (117*f[7, 123])/8 + 30*f[7, 124] + (80*f[7, 125])/3 - 
       (1237*f[7, 126])/48 - f[7, 135]/2 + (5*f[7, 136])/2 - 
       (21*f[7, 137])/2 - (81*f[7, 138])/8 + 2*f[7, 145] + 6*f[7, 146] + 
       (9*f[7, 147])/4 + (103*f[7, 148])/8 + (275*f[7, 149])/8 + 
       (695*f[7, 150])/24)*HPL[{1}, 1 - u]*SPw5f11[u, v] + 
     (-f[7, 138]/4 - f[7, 147]/2 - (3*f[7, 148])/4 + f[7, 149] - 
       (3*f[7, 150])/4)*HPL[{1}, 1 - u]*SPw5f15[u, v] + 
     2*f[7, 55]*HPL[{1}, 1 - u]*SPw5f15[v, u] + 
     (f[7, 76]/4 - f[7, 77] - f[7, 80]/4 - f[7, 82] - f[7, 83] + f[7, 85]/4 + 
       f[7, 87]/4 + f[7, 89]/4 - f[7, 90]/4 - 3*f[7, 91] + f[7, 92]/4 + 
       f[7, 93]/2 - (3*f[7, 94])/4 + f[7, 96]/4 - 2*f[7, 100] - 
       (3*f[7, 101])/4 + (3*f[7, 102])/4 - f[7, 103]/4 + (3*f[7, 104])/4 - 
       2*f[7, 107] + (3*f[7, 110])/4 - f[7, 113]/2 - f[7, 115]/4 + 
       f[7, 116]/4 - 4*f[7, 117] - (3*f[7, 118])/4 + f[7, 119]/2 + 
       f[7, 120]/2 + f[7, 126]/4 - f[7, 138]/4 + f[7, 149]/2)*HPL[{1}, 1 - u]*
      SPw5f16[u, v] + (-f[7, 131] + f[7, 142] + (5*f[7, 143])/2)*
      HPL[{1}, 1 - u]*SPw5f2[v, u] - f[7, 16]*HPL[{1}, 1 - u]*SPw5f3[u, v] + 
     (-f[7, 131] + f[7, 142])*HPL[{1}, 1 - v]*SPw5f3[u, v] - 
     f[7, 141]*HPL[{1}, 1 - v]*SPw5f3[v, u] - f[7, 10]*HPL[{1}, 1 - u]*
      SPw5f4[u, v] + f[7, 149]*HPL[{1}, 1 - v]*SPw5f4[v, u] - 
     2*f[7, 42]*HPL[{1}, 1 - u]*SPw5f5[u, v] + 
     (f[7, 56]/4 - (7*f[7, 57])/8 + 4*f[7, 58] - f[7, 59]/6 + 
       (3*f[7, 60])/16 + (5*f[7, 61])/8 - (23*f[7, 62])/12 - 
       (23*f[7, 63])/12 + (23*f[7, 64])/12 - (3*f[7, 65])/8 + 
       (3*f[7, 66])/4 - (13*f[7, 67])/8 + (3*f[7, 68])/2 + (3*f[7, 69])/2 - 
       (3*f[7, 70])/8 + (3*f[7, 71])/8 - (3*f[7, 72])/2 + (3*f[7, 73])/2 + 
       (3*f[7, 74])/2 - (61*f[7, 75])/24 - (19*f[7, 76])/16 + 
       (27*f[7, 77])/16 - (3*f[7, 78])/4 + (25*f[7, 79])/24 - 
       (47*f[7, 80])/24 + (25*f[7, 81])/2 - (11*f[7, 82])/12 - f[7, 83]/2 - 
       (19*f[7, 84])/24 - (25*f[7, 85])/48 + (31*f[7, 86])/24 - 
       (5*f[7, 87])/24 - (23*f[7, 88])/24 + (5*f[7, 89])/3 - 
       (7*f[7, 90])/48 - (325*f[7, 91])/12 + 2*f[7, 92] - (43*f[7, 93])/48 - 
       (79*f[7, 94])/8 + (25*f[7, 95])/8 - (33*f[7, 96])/8 + 
       (47*f[7, 97])/24 + (47*f[7, 98])/24 + (5*f[7, 99])/24 + 
       (277*f[7, 100])/12 + (67*f[7, 101])/24 + (265*f[7, 102])/24 - 
       (31*f[7, 103])/12 + (233*f[7, 104])/24 - (89*f[7, 105])/24 - 
       (65*f[7, 106])/6 + (38*f[7, 107])/3 - (65*f[7, 108])/12 - 
       4*f[7, 109] - (9*f[7, 110])/16 - (17*f[7, 111])/6 - 
       (181*f[7, 113])/24 - (71*f[7, 114])/24 - (283*f[7, 115])/48 + 
       (41*f[7, 116])/24 + (733*f[7, 117])/12 - (239*f[7, 118])/48 - 
       (473*f[7, 119])/48 - (9*f[7, 120])/4 + 5*f[7, 121] - 
       (115*f[7, 122])/12 - (7*f[7, 123])/4 + (27*f[7, 124])/4 + 
       (127*f[7, 125])/12 - (73*f[7, 126])/24 + 2*f[7, 136] - 
       (3*f[7, 137])/2 - (23*f[7, 138])/8 + 4*f[7, 146] + 2*f[7, 147] + 
       (15*f[7, 148])/4 + (31*f[7, 149])/8 + (61*f[7, 150])/6)*
      HPL[{1}, 1 - v]*SPw5f5[u, v] + (f[7, 138]/4 + f[7, 147]/2 + 
       (3*f[7, 148])/4 - f[7, 149] + (3*f[7, 150])/4)*HPL[{1}, 1 - u]*
      SPw5f5[v, u] + (-5*f[7, 136] + (39*f[7, 137])/2 + (119*f[7, 138])/8 + 
       10*f[7, 146] + (7*f[7, 147])/2 + (41*f[7, 148])/2 + 
       (399*f[7, 149])/8 + 35*f[7, 150])*HPL[{1}, 1 - v]*SPw5f5[v, u] - 
     (3*f[7, 78]*HPL[{1}, 1 - v]*SPw5f7[u, v])/4 + 
     (2*f[7, 137] + (5*f[7, 138])/4 - f[7, 147]/2 + (5*f[7, 148])/4 + 
       5*f[7, 149] + (9*f[7, 150])/4)*HPL[{1}, 1 - v]*SPw5f9[v, u] + 
     f[7, 149]*SPw6f12[u, v] + f[7, 6]*SPw6f2[u, v] - f[7, 4]*SPw6f4[u, v] - 
     f[7, 24]*SPw6f49[u, v] + f[7, 132]*SPw6f5[v, u] - 
     f[7, 149]*SPw6f51[u, v] + f[7, 13]*SPw6f6[v, u] - f[7, 141]*SPw6f8[v, u]
 
SPuvCoproductEntriesWeight7[1 - v] = 
    (f[7, 135]/96 + (7*f[7, 136])/48 + (205*f[7, 137])/96 + 
       (89*f[7, 138])/48 - (3*f[7, 146])/8 - (29*f[7, 147])/64 + 
       (793*f[7, 148])/384 + (2231*f[7, 149])/384 + (1369*f[7, 150])/576)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3 + 
     ((-13*f[7, 132])/80 + (13*f[7, 134])/80 - (37*f[7, 135])/160 + 
       (1659*f[7, 136])/320 - (56507*f[7, 137])/1920 - 
       (196127*f[7, 138])/7680 + (13*f[7, 144])/40 - (5*f[7, 145])/16 - 
       (1739*f[7, 146])/160 - (481*f[7, 147])/120 - (16277*f[7, 148])/480 - 
       (599551*f[7, 149])/7680 - (36367*f[7, 150])/640)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^4 + (f[7, 21]/12 - (7*f[7, 26])/120 + 
       (7*f[7, 27])/120 + (11*f[7, 28])/120 + (7*f[7, 30])/96 - 
       (37*f[7, 31])/120 + (11*f[7, 32])/60 + (7*f[7, 33])/40 - 
       (17*f[7, 35])/120 - (11*f[7, 36])/120 - (7*f[7, 37])/480 - 
       (29*f[7, 38])/60 - (11*f[7, 39])/120 - (7*f[7, 40])/30 + 
       (11*f[7, 41])/240 + (11*f[7, 42])/240 + (11*f[7, 43])/40 + 
       (11*f[7, 44])/20 + (23*f[7, 45])/60 + (23*f[7, 46])/60 - 
       (37*f[7, 47])/480 + (17*f[7, 48])/120 + (133*f[7, 49])/320 - 
       (539*f[7, 50])/960 + (51*f[7, 51])/320 + (11*f[7, 52])/48 - 
       (581*f[7, 53])/960 + (5*f[7, 54])/32 + (107*f[7, 55])/192 + 
       (5003*f[7, 56])/3840 + (61*f[7, 57])/512 - (2293*f[7, 58])/480 + 
       (209*f[7, 59])/720 + (14249*f[7, 60])/15360 + (3379*f[7, 61])/1536 + 
       (6761*f[7, 62])/2880 + (6761*f[7, 63])/2880 - (6761*f[7, 64])/2880 + 
       (31089*f[7, 65])/2560 - (45529*f[7, 66])/3840 - (8883*f[7, 67])/2560 - 
       (45787*f[7, 68])/1920 - (45449*f[7, 69])/1920 + 
       (13771*f[7, 70])/2560 - (8333*f[7, 71])/1536 + (957*f[7, 72])/40 - 
       (22477*f[7, 73])/960 - (3807*f[7, 74])/160 - (28021*f[7, 75])/46080 + 
       (100621*f[7, 76])/3072 - (106337*f[7, 77])/5120 + 
       (8885*f[7, 78])/768 - (581519*f[7, 79])/46080 - 
       (111299*f[7, 80])/46080 - (46847*f[7, 81])/3840 + 
       (60083*f[7, 82])/720 + (21971*f[7, 83])/384 + (486131*f[7, 84])/
        46080 - (352187*f[7, 85])/11520 - (3557939*f[7, 86])/46080 - 
       (1625159*f[7, 87])/46080 + (89567*f[7, 88])/9216 - 
       (7661*f[7, 89])/1152 - (81451*f[7, 90])/23040 + 
       (302869*f[7, 91])/11520 - (550973*f[7, 92])/15360 - 
       (673291*f[7, 93])/23040 + (15733*f[7, 94])/5120 - 
       (803581*f[7, 95])/15360 + (13579*f[7, 96])/1536 + 
       (521431*f[7, 97])/23040 + (517879*f[7, 98])/23040 - 
       (967759*f[7, 99])/46080 - (1838623*f[7, 100])/11520 - 
       (91597*f[7, 101])/5760 - (1211693*f[7, 102])/46080 - 
       (98437*f[7, 103])/23040 - (333047*f[7, 104])/23040 - 
       (403091*f[7, 105])/46080 + (109687*f[7, 106])/1152 - 
       (50215*f[7, 107])/576 + (599761*f[7, 108])/23040 + 
       (28103*f[7, 109])/1536 - (70579*f[7, 110])/7680 - 
       (36577*f[7, 111])/1440 + (277117*f[7, 112])/7680 + 
       (85189*f[7, 113])/9216 + (706387*f[7, 114])/46080 + 
       (194111*f[7, 115])/23040 + (397307*f[7, 116])/46080 - 
       (5885701*f[7, 117])/11520 - (78653*f[7, 118])/23040 + 
       (610345*f[7, 119])/9216 + (272149*f[7, 120])/7680 - 
       (56187*f[7, 121])/2560 + (1367969*f[7, 122])/23040 + 
       (9993*f[7, 123])/512 - (39887*f[7, 124])/960 - 
       (383959*f[7, 125])/11520 + (1458293*f[7, 126])/46080 + f[7, 132]/40 - 
       f[7, 134]/40 + (9*f[7, 135])/80 - (419*f[7, 136])/480 + 
       (1501*f[7, 137])/240 + (5531*f[7, 138])/960 + (19*f[7, 144])/60 + 
       (11*f[7, 145])/24 - (1937*f[7, 146])/240 - (1717*f[7, 147])/1920 - 
       (170297*f[7, 148])/3840 - (105719*f[7, 149])/960 - 
       (167239*f[7, 150])/2880)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5 + 
     (f[7, 31]/4 - f[7, 33]/2 + (5*f[7, 62])/64 + (5*f[7, 63])/64 - 
       (5*f[7, 64])/64 + (5*f[7, 81])/16 - (5*f[7, 89])/64 + 
       (5*f[7, 91])/16 + (5*f[7, 96])/32 - (5*f[7, 97])/32 - 
       (5*f[7, 98])/32 - (5*f[7, 99])/64 - (5*f[7, 100])/8 - 
       (5*f[7, 101])/64 - (5*f[7, 102])/64 + (5*f[7, 103])/32 - 
       (5*f[7, 104])/64 + (5*f[7, 105])/32 + (5*f[7, 106])/16 - 
       (5*f[7, 107])/16 + (15*f[7, 108])/64 + (15*f[7, 109])/64 + 
       (5*f[7, 110])/64 + (5*f[7, 111])/64 - (5*f[7, 112])/64 + 
       (5*f[7, 113])/64 + (5*f[7, 114])/32 + (5*f[7, 115])/32 - 
       (5*f[7, 116])/32 - (25*f[7, 117])/16 + (15*f[7, 118])/64 + 
       (5*f[7, 119])/16 + (5*f[7, 120])/64 - (5*f[7, 121])/64 + 
       (5*f[7, 122])/64 + (5*f[7, 123])/64 - (5*f[7, 124])/32 - 
       (15*f[7, 125])/64 - (5*f[7, 126])/64 - (5*f[7, 150])/16)*
      HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - u] + 
     (f[7, 50]/4 - f[7, 52]/8 + f[7, 53]/4 - (197*f[7, 56])/384 - 
       (53*f[7, 57])/768 + (49*f[7, 58])/24 + (149*f[7, 59])/576 - 
       (479*f[7, 60])/1536 - (841*f[7, 61])/768 - (463*f[7, 62])/576 - 
       (463*f[7, 63])/576 + (463*f[7, 64])/576 - (1465*f[7, 65])/768 + 
       (143*f[7, 66])/128 - (499*f[7, 67])/768 + (111*f[7, 68])/64 + 
       (111*f[7, 69])/64 - (79*f[7, 70])/256 + (79*f[7, 71])/256 - 
       (103*f[7, 72])/64 + (111*f[7, 73])/64 + (103*f[7, 74])/64 - 
       (505*f[7, 75])/2304 - (891*f[7, 76])/512 + (1313*f[7, 77])/1536 - 
       (111*f[7, 78])/128 + (3985*f[7, 79])/2304 + (481*f[7, 80])/2304 + 
       (2029*f[7, 81])/192 - (6485*f[7, 82])/1152 - (1391*f[7, 83])/192 - 
       (1807*f[7, 84])/2304 + (6521*f[7, 85])/4608 + (9211*f[7, 86])/2304 + 
       (3763*f[7, 87])/2304 - (1019*f[7, 88])/2304 + (1589*f[7, 89])/1152 + 
       (2399*f[7, 90])/4608 - (10675*f[7, 91])/1152 + (1205*f[7, 92])/384 + 
       (8291*f[7, 93])/4608 - (1033*f[7, 94])/256 + (751*f[7, 95])/256 - 
       (1135*f[7, 96])/768 - (3151*f[7, 97])/2304 - (3151*f[7, 98])/2304 + 
       (2135*f[7, 99])/2304 + (13135*f[7, 100])/1152 + 
       (2023*f[7, 101])/2304 + (14347*f[7, 102])/2304 - 
       (565*f[7, 103])/1152 + (12353*f[7, 104])/2304 + (775*f[7, 105])/2304 - 
       (5861*f[7, 106])/576 + (1475*f[7, 107])/288 - (2239*f[7, 108])/576 - 
       (1853*f[7, 109])/384 + (671*f[7, 110])/512 + (581*f[7, 111])/1152 - 
       (319*f[7, 112])/384 - (4555*f[7, 113])/2304 - (6935*f[7, 114])/2304 - 
       (18541*f[7, 115])/4608 + (2945*f[7, 116])/2304 + 
       (51547*f[7, 117])/1152 - (6893*f[7, 118])/4608 - 
       (29531*f[7, 119])/4608 - (213*f[7, 120])/64 + (763*f[7, 121])/384 - 
       (331*f[7, 122])/72 - (79*f[7, 123])/96 + (1079*f[7, 124])/384 + 
       (2153*f[7, 125])/576 - (2479*f[7, 126])/2304 + (3*f[7, 132])/20 - 
       (3*f[7, 134])/20 + (7*f[7, 135])/40 + (223*f[7, 136])/240 + 
       (11129*f[7, 137])/960 + (29329*f[7, 138])/3840 - (3*f[7, 144])/10 - 
       f[7, 145]/4 + (283*f[7, 146])/80 + (1081*f[7, 147])/480 + 
       (13841*f[7, 148])/960 + (150347*f[7, 149])/3840 + 
       (104687*f[7, 150])/5760)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
      HPL[{0, 1}, 1 - u] + (-f[7, 41]/4 - f[7, 42]/4 - f[7, 47]/4 + 
       (3*f[7, 48])/8 + f[7, 49]/4 + f[7, 51]/8 + f[7, 54]/4 - 
       (21*f[7, 56])/32 + (79*f[7, 57])/64 + (11*f[7, 58])/2 + f[7, 59]/8 - 
       (3*f[7, 60])/128 - (165*f[7, 61])/64 - (185*f[7, 62])/64 - 
       (185*f[7, 63])/64 + (185*f[7, 64])/64 - (573*f[7, 65])/64 + 
       (301*f[7, 66])/32 + (125*f[7, 67])/64 + (301*f[7, 68])/16 + 
       (301*f[7, 69])/16 - (301*f[7, 70])/64 + (301*f[7, 71])/64 - 
       (297*f[7, 72])/16 + (301*f[7, 73])/16 + (297*f[7, 74])/16 + 
       (7*f[7, 75])/64 - (3429*f[7, 76])/128 + (2437*f[7, 77])/128 - 
       (301*f[7, 78])/32 + (613*f[7, 79])/64 + (37*f[7, 80])/64 + 
       12*f[7, 81] - (1975*f[7, 82])/32 - (639*f[7, 83])/16 - 
       (559*f[7, 84])/64 + (2915*f[7, 85])/128 + (3859*f[7, 86])/64 + 
       (1771*f[7, 87])/64 - (483*f[7, 88])/64 + (399*f[7, 89])/64 + 
       (485*f[7, 90])/128 - (799*f[7, 91])/32 + (217*f[7, 92])/8 + 
       (2585*f[7, 93])/128 - (357*f[7, 94])/64 + (2615*f[7, 95])/64 - 
       (613*f[7, 96])/64 - (1031*f[7, 97])/64 - (1031*f[7, 98])/64 + 
       (277*f[7, 99])/16 + (4693*f[7, 100])/32 + (515*f[7, 101])/32 + 
       (749*f[7, 102])/32 + (19*f[7, 103])/16 + (437*f[7, 104])/32 + 
       (293*f[7, 105])/64 - (1237*f[7, 106])/16 + (1331*f[7, 107])/16 - 
       (1499*f[7, 108])/64 - (1073*f[7, 109])/64 + (619*f[7, 110])/128 + 
       (1077*f[7, 111])/64 - (1733*f[7, 112])/64 - (333*f[7, 113])/32 - 
       (909*f[7, 114])/64 - (1427*f[7, 115])/128 - (321*f[7, 116])/64 + 
       (14111*f[7, 117])/32 + (231*f[7, 118])/128 - (7765*f[7, 119])/128 - 
       (2031*f[7, 120])/64 + (1263*f[7, 121])/64 - (3237*f[7, 122])/64 - 
       (997*f[7, 123])/64 + (567*f[7, 124])/16 + (2039*f[7, 125])/64 - 
       (811*f[7, 126])/32 + (49*f[7, 136])/8 - (125*f[7, 137])/4 - 
       (481*f[7, 138])/16 - f[7, 146] - (13*f[7, 147])/8 + 6*f[7, 148] + 
       (589*f[7, 149])/32 + (63*f[7, 150])/8)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]^2 + (-f[7, 26]/10 + f[7, 27]/10 + f[7, 28]/20 - 
       f[7, 31]/10 + f[7, 32]/10 + (3*f[7, 33])/10 - f[7, 35]/10 - 
       f[7, 36]/20 - f[7, 37]/40 - (2*f[7, 38])/5 - f[7, 39]/20 - 
       (3*f[7, 40])/20 + (11*f[7, 41])/40 + (11*f[7, 42])/40 + 
       (3*f[7, 43])/20 + (3*f[7, 44])/10 + (11*f[7, 45])/20 + 
       (11*f[7, 46])/20 + (23*f[7, 47])/80 + (9*f[7, 48])/40 + f[7, 49]/40 - 
       (7*f[7, 50])/16 + f[7, 51]/20 + (3*f[7, 52])/8 - (53*f[7, 53])/80 - 
       f[7, 54]/8 - (19*f[7, 55])/16 + (267*f[7, 56])/160 - 
       (103*f[7, 57])/64 - (78*f[7, 58])/5 + (79*f[7, 59])/120 + 
       (511*f[7, 60])/640 + (221*f[7, 61])/64 + (7649*f[7, 62])/960 + 
       (7649*f[7, 63])/960 - (7649*f[7, 64])/960 + (5663*f[7, 65])/320 - 
       (1483*f[7, 66])/80 - (183*f[7, 67])/160 - (2853*f[7, 68])/80 - 
       (1433*f[7, 69])/40 + (1381*f[7, 70])/160 - (277*f[7, 71])/32 + 
       (5543*f[7, 72])/160 - (5657*f[7, 73])/160 - (5597*f[7, 74])/160 + 
       (19037*f[7, 75])/3840 + (767*f[7, 76])/16 - (22539*f[7, 77])/640 + 
       (35*f[7, 78])/2 - (78017*f[7, 79])/3840 - (797*f[7, 80])/3840 - 
       (2999*f[7, 81])/64 + (111899*f[7, 82])/960 + (1351*f[7, 83])/16 + 
       (66953*f[7, 84])/3840 - (157139*f[7, 85])/3840 - 
       (412937*f[7, 86])/3840 - (183677*f[7, 87])/3840 + 
       (12005*f[7, 88])/768 - (1639*f[7, 89])/120 - (27551*f[7, 90])/3840 + 
       (7825*f[7, 91])/96 - (67809*f[7, 92])/1280 - (146231*f[7, 93])/3840 + 
       (29657*f[7, 94])/1280 - (99783*f[7, 95])/1280 + (1867*f[7, 96])/80 + 
       (2579*f[7, 97])/96 + (12871*f[7, 98])/480 - (23597*f[7, 99])/768 - 
       (13787*f[7, 100])/48 - (60223*f[7, 101])/1920 - 
       (225107*f[7, 102])/3840 + (1577*f[7, 103])/1920 - 
       (7727*f[7, 104])/192 - (18017*f[7, 105])/3840 + 
       (77459*f[7, 106])/480 - (38747*f[7, 107])/240 + 
       (19187*f[7, 108])/384 + (24379*f[7, 109])/640 - 
       (13473*f[7, 110])/1280 - (13333*f[7, 111])/480 + 
       (31833*f[7, 112])/640 + (104603*f[7, 113])/3840 + 
       (113617*f[7, 114])/3840 + (114397*f[7, 115])/3840 + 
       (5173*f[7, 116])/768 - (422849*f[7, 117])/480 + 
       (23021*f[7, 118])/3840 + (231331*f[7, 119])/1920 + 
       (7465*f[7, 120])/128 - (27501*f[7, 121])/640 + 
       (204071*f[7, 122])/1920 + (20413*f[7, 123])/640 - 
       (23997*f[7, 124])/320 - (4333*f[7, 125])/60 + (193751*f[7, 126])/
        3840 + f[7, 132]/20 - f[7, 134]/20 + (9*f[7, 135])/40 - 
       (229*f[7, 136])/40 + (1137*f[7, 137])/40 + (8879*f[7, 138])/320 + 
       f[7, 144]/10 - (783*f[7, 146])/40 - (1069*f[7, 147])/160 - 
       (8187*f[7, 148])/160 - (35817*f[7, 149])/320 - (41687*f[7, 150])/480)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2 + 
     ((4*f[7, 26])/15 + (2*f[7, 27])/5 - (2*f[7, 28])/15 - f[7, 30]/6 + 
       (4*f[7, 31])/15 - (4*f[7, 32])/15 - (4*f[7, 33])/5 + (4*f[7, 35])/15 + 
       (2*f[7, 36])/15 - f[7, 37]/60 + (16*f[7, 38])/15 + (7*f[7, 39])/15 + 
       (2*f[7, 40])/5 - f[7, 41]/15 - f[7, 42]/15 - (11*f[7, 43])/15 - 
       (9*f[7, 44])/5 + f[7, 45]/5 - (7*f[7, 46])/15 + (3*f[7, 47])/20 - 
       (41*f[7, 48])/60 - (51*f[7, 49])/40 - (17*f[7, 51])/40 - f[7, 52]/2 + 
       (7*f[7, 53])/20 - (7*f[7, 54])/12 - (5*f[7, 55])/3 - 
       (461*f[7, 56])/480 - (59*f[7, 57])/64 + (91*f[7, 58])/60 - 
       (677*f[7, 59])/360 - (581*f[7, 60])/640 - (565*f[7, 61])/192 + 
       (17*f[7, 62])/720 + (17*f[7, 63])/720 - (17*f[7, 64])/720 - 
       (20489*f[7, 65])/960 + (10093*f[7, 66])/480 + (3231*f[7, 67])/320 + 
       (9829*f[7, 68])/240 + (3271*f[7, 69])/80 - (8701*f[7, 70])/960 + 
       (1753*f[7, 71])/192 - (10097*f[7, 72])/240 + (9623*f[7, 73])/240 + 
       (9853*f[7, 74])/240 + (4423*f[7, 75])/1440 - (22169*f[7, 76])/384 + 
       (67097*f[7, 77])/1920 - (1841*f[7, 78])/96 + (16291*f[7, 79])/720 + 
       (3323*f[7, 80])/360 + (175*f[7, 81])/16 - (222371*f[7, 82])/1440 - 
       (5119*f[7, 83])/48 - (27113*f[7, 84])/1440 + (332771*f[7, 85])/5760 + 
       (99571*f[7, 86])/720 + (46981*f[7, 87])/720 - (5195*f[7, 88])/288 + 
       (12953*f[7, 89])/1440 + (48149*f[7, 90])/5760 + (73*f[7, 91])/288 + 
       (61963*f[7, 92])/960 + (316169*f[7, 93])/5760 + (2181*f[7, 94])/160 + 
       (14521*f[7, 95])/160 - (7999*f[7, 96])/960 - (27263*f[7, 97])/576 - 
       (134971*f[7, 98])/2880 + (5407*f[7, 99])/144 + (71435*f[7, 100])/288 + 
       (67987*f[7, 101])/2880 + (1231*f[7, 102])/45 + 
       (19271*f[7, 103])/1440 + (5569*f[7, 104])/576 + 
       (34997*f[7, 105])/1440 - (58993*f[7, 106])/360 + 
       (48383*f[7, 107])/360 - (11089*f[7, 108])/288 - (6529*f[7, 109])/240 + 
       (36007*f[7, 110])/1920 + (73769*f[7, 111])/1440 - 
       (10987*f[7, 112])/160 - (859*f[7, 113])/720 - (31117*f[7, 114])/1440 - 
       (45283*f[7, 115])/5760 - (6109*f[7, 116])/288 + 
       (1197427*f[7, 117])/1440 + (95461*f[7, 118])/5760 - 
       (595943*f[7, 119])/5760 - (3007*f[7, 120])/48 + (4033*f[7, 121])/120 - 
       (143377*f[7, 122])/1440 - (17161*f[7, 123])/480 + 
       (33253*f[7, 124])/480 + (16813*f[7, 125])/360 - 
       (10297*f[7, 126])/180 - (4*f[7, 132])/15 + (4*f[7, 134])/15 - 
       (7*f[7, 135])/10 + (347*f[7, 136])/60 - (4121*f[7, 137])/60 - 
       (7223*f[7, 138])/120 - 11*f[7, 146] - (73*f[7, 147])/12 + 
       (241*f[7, 148])/48 + (3079*f[7, 149])/96 - (1675*f[7, 150])/144)*
      HPL[{0, 1}, 1 - u]^3 + (-f[7, 11]/4 + f[7, 14]/4 - f[7, 24]/2 - 
       f[7, 25]/8 + f[7, 26]/5 + (3*f[7, 27])/10 - f[7, 28]/10 - f[7, 29]/8 - 
       f[7, 30]/8 + (6*f[7, 31])/5 + f[7, 32]/20 - (18*f[7, 33])/5 + 
       (5*f[7, 34])/16 + f[7, 35]/5 - (3*f[7, 36])/20 - f[7, 37]/80 + 
       (4*f[7, 38])/5 + (11*f[7, 39])/10 + (11*f[7, 40])/20 - 
       (9*f[7, 41])/80 + (11*f[7, 42])/80 - (11*f[7, 43])/20 - 
       (7*f[7, 44])/20 - (9*f[7, 45])/40 - (29*f[7, 46])/40 - 
       (3*f[7, 47])/40 + (49*f[7, 48])/80 - (163*f[7, 49])/160 + 
       (27*f[7, 50])/16 - (81*f[7, 51])/160 - (9*f[7, 52])/16 + 
       (17*f[7, 53])/10 - (3*f[7, 54])/4 + (35*f[7, 55])/16 + 
       (23*f[7, 56])/80 - (173*f[7, 57])/64 + (821*f[7, 58])/80 + 
       (1411*f[7, 59])/960 + (53*f[7, 60])/640 - (49*f[7, 61])/64 - 
       (13847*f[7, 62])/3840 - (13847*f[7, 63])/3840 + 
       (13847*f[7, 64])/3840 - (3391*f[7, 65])/320 + (751*f[7, 66])/80 - 
       (67*f[7, 67])/80 + (1161*f[7, 68])/80 + (611*f[7, 69])/40 - 
       (387*f[7, 70])/160 + (83*f[7, 71])/32 - (2211*f[7, 72])/160 + 
       (1117*f[7, 73])/80 + (2289*f[7, 74])/160 - (26189*f[7, 75])/3840 - 
       (2319*f[7, 76])/128 + (9113*f[7, 77])/640 - (107*f[7, 78])/16 + 
       (48389*f[7, 79])/3840 + (7709*f[7, 80])/3840 + (1659*f[7, 81])/32 - 
       (46913*f[7, 82])/960 - 46*f[7, 83] - (33221*f[7, 84])/3840 + 
       (58103*f[7, 85])/3840 + (151049*f[7, 86])/3840 + 
       (64469*f[7, 87])/3840 - (6833*f[7, 88])/768 + (30791*f[7, 89])/3840 + 
       (24527*f[7, 90])/3840 - (8825*f[7, 91])/192 + (33183*f[7, 92])/1280 + 
       (60707*f[7, 93])/3840 - (18949*f[7, 94])/1280 + 
       (40671*f[7, 95])/1280 - (8827*f[7, 96])/640 - (4499*f[7, 97])/384 - 
       (21583*f[7, 98])/1920 + (1955*f[7, 99])/192 + (5789*f[7, 100])/48 + 
       (49487*f[7, 101])/3840 + (61747*f[7, 102])/1920 - 
       (1139*f[7, 103])/1920 + (20849*f[7, 104])/768 + 
       (6719*f[7, 105])/3840 - (41423*f[7, 106])/480 + 
       (63851*f[7, 107])/960 - (22147*f[7, 108])/768 - 
       (36121*f[7, 109])/1280 + (1819*f[7, 110])/320 + 
       (30893*f[7, 111])/3840 - (25657*f[7, 112])/1280 - 
       (21373*f[7, 113])/1920 - (61999*f[7, 114])/3840 - 
       (98839*f[7, 115])/3840 + (185*f[7, 116])/768 + 
       (394801*f[7, 117])/960 - (5063*f[7, 118])/960 - 
       (13469*f[7, 119])/240 - (7745*f[7, 120])/256 + 
       (30159*f[7, 121])/1280 - (218029*f[7, 122])/3840 - 
       (23147*f[7, 123])/1280 + (26493*f[7, 124])/640 + 
       (162649*f[7, 125])/3840 - (23183*f[7, 126])/960 - f[7, 132]/5 + 
       (3*f[7, 133])/16 + (3*f[7, 134])/40 - (2*f[7, 135])/5 + 
       (1749*f[7, 136])/160 - (2651*f[7, 137])/80 - (4943*f[7, 138])/160 - 
       f[7, 140]/2 - f[7, 144]/2 + f[7, 145]/2 - (41*f[7, 146])/16 + 
       (67*f[7, 147])/32 - (153*f[7, 148])/16 - (1067*f[7, 149])/64 - 
       (55*f[7, 150])/8)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v] + (-f[7, 24]/4 - f[7, 25]/8 - f[7, 29]/8 + 
       (3*f[7, 34])/16 - (3*f[7, 43])/4 - (3*f[7, 44])/4 - (3*f[7, 45])/8 - 
       (3*f[7, 46])/8 - f[7, 47]/16 + (3*f[7, 48])/32 - (17*f[7, 49])/32 + 
       (5*f[7, 50])/8 - (19*f[7, 51])/32 - f[7, 52]/16 + (7*f[7, 53])/16 - 
       (31*f[7, 54])/32 + (21*f[7, 55])/16 - (93*f[7, 56])/128 + 
       (365*f[7, 57])/256 + (105*f[7, 58])/8 - (187*f[7, 59])/192 - 
       (57*f[7, 60])/512 + (201*f[7, 61])/256 - (4753*f[7, 62])/768 - 
       (4753*f[7, 63])/768 + (4753*f[7, 64])/768 - (2423*f[7, 65])/256 + 
       (1303*f[7, 66])/128 - (513*f[7, 67])/256 + (1239*f[7, 68])/64 + 
       (1247*f[7, 69])/64 - (1223*f[7, 70])/256 + (1223*f[7, 71])/256 - 
       (1243*f[7, 72])/64 + (1241*f[7, 73])/64 + (1227*f[7, 74])/64 - 
       (2753*f[7, 75])/384 - (12523*f[7, 76])/512 + (11319*f[7, 77])/512 - 
       (1247*f[7, 78])/128 + (4625*f[7, 79])/384 - (269*f[7, 80])/192 + 
       (1381*f[7, 81])/32 - (21533*f[7, 82])/384 - (2447*f[7, 83])/64 - 
       (1933*f[7, 84])/192 + (28829*f[7, 85])/1536 + (5009*f[7, 86])/96 + 
       (2105*f[7, 87])/96 - (931*f[7, 88])/96 + (7411*f[7, 89])/768 + 
       (7319*f[7, 90])/1536 - (27319*f[7, 91])/384 + (7427*f[7, 92])/256 + 
       (22595*f[7, 93])/1536 - (2771*f[7, 94])/128 + (2717*f[7, 95])/64 - 
       (4847*f[7, 96])/256 - (8323*f[7, 97])/768 - (8035*f[7, 98])/768 + 
       (11453*f[7, 99])/768 + (70153*f[7, 100])/384 + (515*f[7, 101])/24 + 
       (32257*f[7, 102])/768 - (1579*f[7, 103])/384 + (12277*f[7, 104])/384 - 
       (1213*f[7, 105])/384 - (577*f[7, 106])/6 + (20707*f[7, 107])/192 - 
       (26209*f[7, 108])/768 - (7069*f[7, 109])/256 + (1375*f[7, 110])/512 + 
       (6361*f[7, 111])/768 - (6361*f[7, 112])/256 - (17041*f[7, 113])/768 - 
       (7213*f[7, 114])/384 - (39409*f[7, 115])/1536 - (257*f[7, 116])/384 + 
       (210607*f[7, 117])/384 - (15839*f[7, 118])/1536 - 
       (119549*f[7, 119])/1536 - (8249*f[7, 120])/256 + 
       (7847*f[7, 121])/256 - (53303*f[7, 122])/768 - (5197*f[7, 123])/256 + 
       (3261*f[7, 124])/64 + (42287*f[7, 125])/768 - (22657*f[7, 126])/768 + 
       f[7, 132]/20 + f[7, 133]/6 - (91*f[7, 134])/120 - (11*f[7, 135])/240 - 
       (707*f[7, 136])/120 + (749*f[7, 137])/30 + (12803*f[7, 138])/640 + 
       (9*f[7, 144])/10 + f[7, 145]/2 + (779*f[7, 146])/20 + 
       (7147*f[7, 147])/480 + (48073*f[7, 148])/640 + 
       (327457*f[7, 149])/1920 + (893479*f[7, 150])/5760)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v] + 
     (f[7, 24] - (4*f[7, 26])/5 - (6*f[7, 27])/5 + (2*f[7, 28])/5 - 
       f[7, 29]/2 + f[7, 30]/2 - (4*f[7, 31])/5 - f[7, 32]/5 + 
       (12*f[7, 33])/5 + (3*f[7, 34])/4 - (4*f[7, 35])/5 + (3*f[7, 36])/5 + 
       f[7, 37]/20 - (16*f[7, 38])/5 - (12*f[7, 39])/5 - (6*f[7, 40])/5 + 
       (9*f[7, 41])/20 + (9*f[7, 42])/20 + (6*f[7, 43])/5 + (12*f[7, 44])/5 - 
       (11*f[7, 45])/10 + (9*f[7, 46])/10 - (33*f[7, 47])/40 - 
       (39*f[7, 48])/20 + (16*f[7, 49])/5 + 3*f[7, 50] - (3*f[7, 51])/5 + 
       (13*f[7, 52])/2 + (7*f[7, 53])/10 + (3*f[7, 54])/8 + (39*f[7, 55])/4 + 
       (861*f[7, 56])/160 + (791*f[7, 57])/64 - (51*f[7, 58])/20 - 
       (2411*f[7, 59])/240 + (3353*f[7, 60])/640 + (1035*f[7, 61])/64 - 
       (1583*f[7, 62])/960 - (1583*f[7, 63])/960 + (1583*f[7, 64])/960 + 
       (25279*f[7, 65])/320 - (12403*f[7, 66])/160 - (12843*f[7, 67])/320 - 
       (12619*f[7, 68])/80 - (12603*f[7, 69])/80 + (10971*f[7, 70])/320 - 
       (2239*f[7, 71])/64 + (12967*f[7, 72])/80 - (12483*f[7, 73])/80 - 
       (12663*f[7, 74])/80 - (2407*f[7, 75])/120 + (29403*f[7, 76])/128 - 
       (82607*f[7, 77])/640 + (2347*f[7, 78])/32 - (40727*f[7, 79])/480 - 
       (4313*f[7, 80])/120 + (51*f[7, 81])/8 + (285821*f[7, 82])/480 + 
       (6581*f[7, 83])/16 + (8327*f[7, 84])/120 - (428201*f[7, 85])/1920 - 
       (265337*f[7, 86])/480 - (126857*f[7, 87])/480 + (3307*f[7, 88])/48 - 
       (33811*f[7, 89])/960 - (39119*f[7, 90])/1920 + (2747*f[7, 91])/96 - 
       (79243*f[7, 92])/320 - (421079*f[7, 93])/1920 - (6483*f[7, 94])/160 - 
       (27949*f[7, 95])/80 + (8039*f[7, 96])/320 + (33467*f[7, 97])/192 + 
       (166471*f[7, 98])/960 - (28879*f[7, 99])/192 - (91625*f[7, 100])/96 - 
       (42191*f[7, 101])/480 - (104869*f[7, 102])/960 - 
       (11233*f[7, 103])/240 - (3779*f[7, 104])/96 - (46277*f[7, 105])/480 + 
       (74473*f[7, 106])/120 - (118651*f[7, 107])/240 + 
       (30053*f[7, 108])/192 + (34621*f[7, 109])/320 - 
       (47347*f[7, 110])/640 - (191653*f[7, 111])/960 + 
       (84127*f[7, 112])/320 + (4831*f[7, 113])/960 + (43987*f[7, 114])/480 + 
       (40273*f[7, 115])/1920 + (7705*f[7, 116])/96 - 
       (1519807*f[7, 117])/480 - (109801*f[7, 118])/1920 + 
       (762353*f[7, 119])/1920 + (15561*f[7, 120])/64 - 
       (39199*f[7, 121])/320 + (357299*f[7, 122])/960 + 
       (43057*f[7, 123])/320 - (5111*f[7, 124])/20 - (166199*f[7, 125])/960 + 
       (207997*f[7, 126])/960 + (4*f[7, 132])/5 + (3*f[7, 133])/4 - 
       (4*f[7, 134])/5 + (19*f[7, 135])/40 - (449*f[7, 136])/40 + 
       (7887*f[7, 137])/40 + (13651*f[7, 138])/80 + 2*f[7, 140] + 
       2*f[7, 144] + (3*f[7, 145])/2 + 18*f[7, 146] + (229*f[7, 147])/16 - 
       (801*f[7, 148])/8 - (2405*f[7, 149])/8 - (7427*f[7, 150])/96)*
      HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v] + 
     (f[7, 8]/4 - f[7, 9]/8 + f[7, 49]/4 + f[7, 54]/8 + f[7, 56]/16 + 
       (5*f[7, 57])/8 - (3*f[7, 59])/8 + (3*f[7, 60])/16 + f[7, 61]/8 + 
       f[7, 62]/32 + f[7, 63]/32 - f[7, 64]/32 - (15*f[7, 65])/8 + 
       2*f[7, 66] + f[7, 67] + 4*f[7, 68] + 4*f[7, 69] - f[7, 70] + 
       f[7, 71] - (15*f[7, 72])/4 + 4*f[7, 73] + 4*f[7, 74] + f[7, 75]/4 - 
       (87*f[7, 76])/16 + (65*f[7, 77])/16 - 2*f[7, 78] + (31*f[7, 79])/16 + 
       (3*f[7, 80])/4 - (13*f[7, 81])/8 - (29*f[7, 82])/2 - 9*f[7, 83] - 
       (17*f[7, 84])/8 + (45*f[7, 85])/8 + (213*f[7, 86])/16 + 
       (99*f[7, 87])/16 - (15*f[7, 88])/8 + (27*f[7, 89])/32 + 
       (9*f[7, 90])/8 + (9*f[7, 91])/8 + (95*f[7, 92])/16 + 
       (81*f[7, 93])/16 + (23*f[7, 94])/16 + (73*f[7, 95])/8 - 
       (5*f[7, 96])/4 - (69*f[7, 97])/16 - (69*f[7, 98])/16 + 
       (127*f[7, 99])/32 + (55*f[7, 100])/2 + (95*f[7, 101])/32 + 
       (69*f[7, 102])/32 + (19*f[7, 103])/16 + (9*f[7, 104])/32 + 
       (35*f[7, 105])/16 - (59*f[7, 106])/4 + (127*f[7, 107])/8 - 
       (105*f[7, 108])/32 - (63*f[7, 109])/32 + (45*f[7, 110])/32 + 
       (161*f[7, 111])/32 - (233*f[7, 112])/32 - (9*f[7, 113])/32 - 
       (13*f[7, 114])/8 - (5*f[7, 115])/8 - (37*f[7, 116])/16 + 
       (685*f[7, 117])/8 + (49*f[7, 118])/32 - 11*f[7, 119] - 
       (191*f[7, 120])/32 + (127*f[7, 121])/32 - (343*f[7, 122])/32 - 
       (121*f[7, 123])/32 + (31*f[7, 124])/4 + (177*f[7, 125])/32 - 
       (195*f[7, 126])/32 - f[7, 133]/2 + f[7, 134] - (33*f[7, 136])/8 - 
       (371*f[7, 137])/8 - (1319*f[7, 138])/32 - f[7, 139]/2 + 3*f[7, 145] + 
       (35*f[7, 146])/4 + (59*f[7, 147])/8 - (1339*f[7, 148])/32 - 
       (3089*f[7, 149])/32 - (83*f[7, 150])/4)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]^2 + (f[7, 5] - f[7, 18] + (4*f[7, 26])/5 - 
       (4*f[7, 27])/5 - (2*f[7, 28])/5 + f[7, 29]/2 + (4*f[7, 31])/5 - 
       (4*f[7, 32])/5 - (12*f[7, 33])/5 + (4*f[7, 35])/5 + (2*f[7, 36])/5 - 
       f[7, 37]/20 + (16*f[7, 38])/5 + (2*f[7, 39])/5 + (6*f[7, 40])/5 - 
       f[7, 41]/5 - f[7, 42]/5 - (6*f[7, 43])/5 - (17*f[7, 44])/5 + 
       (8*f[7, 45])/5 + (3*f[7, 46])/5 - (3*f[7, 47])/10 + f[7, 48]/5 - 
       (83*f[7, 49])/40 + (3*f[7, 50])/2 + (19*f[7, 51])/40 - 2*f[7, 52] + 
       (51*f[7, 53])/20 + (3*f[7, 54])/4 - (5*f[7, 55])/2 - 
       (771*f[7, 56])/160 + (161*f[7, 57])/64 + (741*f[7, 58])/20 - 
       (67*f[7, 59])/20 - (2593*f[7, 60])/640 - (571*f[7, 61])/64 - 
       (2267*f[7, 62])/160 - (2267*f[7, 63])/160 + (2267*f[7, 64])/160 - 
       (18999*f[7, 65])/320 + (9323*f[7, 66])/160 + (3403*f[7, 67])/320 + 
       (8759*f[7, 68])/80 + (8803*f[7, 69])/80 - (8011*f[7, 70])/320 + 
       (1615*f[7, 71])/64 - (8747*f[7, 72])/80 + (8693*f[7, 73])/80 + 
       (8723*f[7, 74])/80 - (371*f[7, 75])/40 - (18719*f[7, 76])/128 + 
       (60727*f[7, 77])/640 - (1639*f[7, 78])/32 + (10389*f[7, 79])/160 + 
       (1509*f[7, 80])/160 + (2211*f[7, 81])/16 - (60427*f[7, 82])/160 - 
       (4753*f[7, 83])/16 - (2129*f[7, 84])/40 + (84907*f[7, 85])/640 + 
       (54049*f[7, 86])/160 + (24549*f[7, 87])/160 - (785*f[7, 88])/16 + 
       (2963*f[7, 89])/80 + (15413*f[7, 90])/640 - (5671*f[7, 91])/32 + 
       (52843*f[7, 92])/320 + (85793*f[7, 93])/640 - (3771*f[7, 94])/80 + 
       (9467*f[7, 95])/40 - (16629*f[7, 96])/320 - (6175*f[7, 97])/64 - 
       (31067*f[7, 98])/320 + (1493*f[7, 99])/16 + (24623*f[7, 100])/32 + 
       (24809*f[7, 101])/320 + (12577*f[7, 102])/80 + (1497*f[7, 103])/160 + 
       (6795*f[7, 104])/64 + (2907*f[7, 105])/80 - (19441*f[7, 106])/40 + 
       (4149*f[7, 107])/10 - (2203*f[7, 108])/16 - (17463*f[7, 109])/160 + 
       (27737*f[7, 110])/640 + (2031*f[7, 111])/20 - (1621*f[7, 112])/10 - 
       (4473*f[7, 113])/80 - (6437*f[7, 114])/80 - (47171*f[7, 115])/640 - 
       (505*f[7, 116])/16 + (397779*f[7, 117])/160 - (343*f[7, 118])/640 - 
       (210411*f[7, 119])/640 - (5615*f[7, 120])/32 + (19207*f[7, 121])/160 - 
       (3119*f[7, 122])/10 - (7833*f[7, 123])/80 + (34713*f[7, 124])/160 + 
       (30919*f[7, 125])/160 - (3129*f[7, 126])/20 - (4*f[7, 132])/5 + 
       (4*f[7, 134])/5 - (11*f[7, 135])/10 + (261*f[7, 136])/10 - 
       (9337*f[7, 137])/40 - (32637*f[7, 138])/160 + 24*f[7, 146] + 
       (49*f[7, 147])/4 - (219*f[7, 148])/16 - (1007*f[7, 149])/16 + 
       (439*f[7, 150])/24)*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + 
     ((4*f[7, 31])/3 - 4*f[7, 33] + f[7, 50]/3 + (3*f[7, 62])/8 + 
       (3*f[7, 63])/8 - (3*f[7, 64])/8 + (3*f[7, 81])/2 - (3*f[7, 89])/8 + 
       (5*f[7, 91])/3 + (3*f[7, 96])/4 - (3*f[7, 97])/4 - (3*f[7, 98])/4 - 
       (3*f[7, 99])/8 - 3*f[7, 100] - (3*f[7, 101])/8 - (3*f[7, 102])/8 + 
       (3*f[7, 103])/4 - (3*f[7, 104])/8 + (3*f[7, 105])/4 + 
       (3*f[7, 106])/2 - (3*f[7, 107])/2 + (9*f[7, 108])/8 + 
       (9*f[7, 109])/8 + (3*f[7, 110])/8 + (3*f[7, 111])/8 - 
       (3*f[7, 112])/8 + (3*f[7, 113])/8 + (3*f[7, 114])/4 + 
       (3*f[7, 115])/4 - (3*f[7, 116])/4 - (15*f[7, 117])/2 + 
       (9*f[7, 118])/8 + (3*f[7, 119])/2 + (3*f[7, 120])/8 - 
       (3*f[7, 121])/8 + (3*f[7, 122])/8 + (3*f[7, 123])/8 - 
       (3*f[7, 124])/4 - (9*f[7, 125])/8 - (3*f[7, 126])/8 - (3*f[7, 150])/2)*
      HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - u] + 
     (-f[7, 41] - f[7, 42] - f[7, 47] + (3*f[7, 48])/2 + f[7, 49] + 
       f[7, 51] + (3*f[7, 54])/2 - f[7, 56]/4 + (15*f[7, 57])/4 + 
       23*f[7, 58] - (11*f[7, 59])/12 + f[7, 60]/8 - (7*f[7, 61])/4 - 
       (235*f[7, 62])/24 - (235*f[7, 63])/24 + (235*f[7, 64])/24 - 
       (37*f[7, 65])/4 + (23*f[7, 66])/2 - (21*f[7, 67])/4 + 23*f[7, 68] + 
       23*f[7, 69] - (23*f[7, 70])/4 + (23*f[7, 71])/4 - 22*f[7, 72] + 
       23*f[7, 73] + 22*f[7, 74] - (107*f[7, 75])/12 - (229*f[7, 76])/8 + 
       (193*f[7, 77])/8 - (23*f[7, 78])/2 + (38*f[7, 79])/3 - 
       (203*f[7, 80])/24 + (241*f[7, 81])/4 - (179*f[7, 82])/3 - 
       (75*f[7, 83])/2 - (35*f[7, 84])/3 + (433*f[7, 85])/24 + 
       (361*f[7, 86])/6 + (74*f[7, 87])/3 - (31*f[7, 88])/3 + 
       (307*f[7, 89])/24 + (115*f[7, 90])/24 - (391*f[7, 91])/3 + 
       (263*f[7, 92])/8 + (361*f[7, 93])/24 - (93*f[7, 94])/2 + 
       (195*f[7, 95])/4 - (51*f[7, 96])/2 - (25*f[7, 97])/6 - 
       (25*f[7, 98])/6 + (419*f[7, 99])/24 + (1385*f[7, 100])/6 + 
       (637*f[7, 101])/24 + (815*f[7, 102])/12 - (127*f[7, 103])/12 + 
       (637*f[7, 104])/12 - (59*f[7, 105])/6 - (1345*f[7, 106])/12 + 
       (775*f[7, 107])/6 - (1033*f[7, 108])/24 - (261*f[7, 109])/8 + 
       (9*f[7, 110])/4 + (73*f[7, 111])/24 - (193*f[7, 112])/8 - 
       (491*f[7, 113])/12 - (307*f[7, 114])/12 - (863*f[7, 115])/24 + 
       (10*f[7, 116])/3 + (1963*f[7, 117])/3 - (433*f[7, 118])/24 - 
       (2317*f[7, 119])/24 - (81*f[7, 120])/2 + (309*f[7, 121])/8 - 
       (2051*f[7, 122])/24 - (159*f[7, 123])/8 + 59*f[7, 124] + 
       (1745*f[7, 125])/24 - (841*f[7, 126])/24 + f[7, 135]/2 + 
       (15*f[7, 136])/2 - (73*f[7, 137])/4 - (311*f[7, 138])/16 + 
       33*f[7, 146] + (59*f[7, 147])/4 + (381*f[7, 148])/8 + 
       (1159*f[7, 149])/16 + (843*f[7, 150])/8)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (-f[7, 8]/2 - (3*f[7, 25])/2 - 2*f[7, 29] + f[7, 35] - 4*f[7, 38] + 
       f[7, 40] - f[7, 41] - f[7, 42] + 2*f[7, 46] - f[7, 47]/2 + 
       (5*f[7, 48])/2 + f[7, 49]/2 + 5*f[7, 50] - (3*f[7, 51])/2 - 
       (11*f[7, 52])/2 + 6*f[7, 53] - (9*f[7, 54])/2 + (5*f[7, 55])/2 - 
       (5*f[7, 56])/8 - (55*f[7, 57])/16 + (11*f[7, 58])/2 + 
       (125*f[7, 59])/12 - (69*f[7, 60])/32 - (219*f[7, 61])/16 + 
       (505*f[7, 62])/96 + (505*f[7, 63])/96 - (505*f[7, 64])/96 + 
       (597*f[7, 65])/16 - (469*f[7, 66])/8 - (529*f[7, 67])/16 - 
       129*f[7, 68] - (509*f[7, 69])/4 + (521*f[7, 70])/16 - 
       (521*f[7, 71])/16 + 131*f[7, 72] - (505*f[7, 73])/4 - 
       (257*f[7, 74])/2 - (1871*f[7, 75])/96 + (6055*f[7, 76])/32 - 
       (4313*f[7, 77])/32 + (481*f[7, 78])/8 - (3793*f[7, 79])/96 - 
       (301*f[7, 80])/96 + (1757*f[7, 81])/8 + (5411*f[7, 82])/12 + 
       191*f[7, 83] + (4477*f[7, 84])/96 - (2153*f[7, 85])/12 - 
       (44173*f[7, 86])/96 - (20401*f[7, 87])/96 + (5189*f[7, 88])/96 - 
       (2341*f[7, 89])/96 - (5*f[7, 90])/48 + (587*f[7, 91])/6 - 
       (5687*f[7, 92])/32 - (1817*f[7, 93])/12 - (1449*f[7, 94])/32 - 
       (9643*f[7, 95])/32 + (167*f[7, 96])/4 + (260*f[7, 97])/3 + 
       (257*f[7, 98])/3 - (6409*f[7, 99])/48 - (23909*f[7, 100])/24 - 
       (10675*f[7, 101])/96 - (3407*f[7, 102])/48 - (719*f[7, 103])/48 + 
       (313*f[7, 104])/96 - (2635*f[7, 105])/96 + (9857*f[7, 106])/24 - 
       (13981*f[7, 107])/24 + (10789*f[7, 108])/96 + (903*f[7, 109])/32 - 
       (729*f[7, 110])/32 - (15283*f[7, 111])/96 + (6883*f[7, 112])/32 + 
       (1147*f[7, 113])/24 + (4751*f[7, 114])/96 - (2141*f[7, 115])/48 + 
       (6487*f[7, 116])/96 - (16337*f[7, 117])/6 - (2657*f[7, 118])/96 + 
       (34285*f[7, 119])/96 + (5117*f[7, 120])/32 - (3397*f[7, 121])/32 + 
       (27323*f[7, 122])/96 + (3553*f[7, 123])/32 - (3479*f[7, 124])/16 - 
       (15179*f[7, 125])/96 + (8105*f[7, 126])/48 + 5*f[7, 133] + 
       2*f[7, 134] + 2*f[7, 135] + (69*f[7, 136])/4 + (689*f[7, 137])/2 + 
       (5163*f[7, 138])/16 - f[7, 139] - 8*f[7, 145] - 15*f[7, 146] - 
       (41*f[7, 147])/2 + (1047*f[7, 148])/16 + (1719*f[7, 149])/8 + 
       (1691*f[7, 150])/48)*HPL[{0, 0, 1}, 1 - u]^2 + 
     (f[7, 25]/4 + f[7, 29]/4 - f[7, 42]/2 - f[7, 45]/2 - f[7, 46]/2 + 
       f[7, 47]/4 + f[7, 48]/4 + f[7, 49]/8 - f[7, 50]/2 + f[7, 51]/4 + 
       (3*f[7, 52])/2 - (3*f[7, 53])/4 + f[7, 54]/8 - (3*f[7, 55])/4 - 
       (7*f[7, 56])/32 - (101*f[7, 57])/64 - 6*f[7, 58] + (3*f[7, 59])/2 - 
       (47*f[7, 60])/128 - (17*f[7, 61])/64 + (35*f[7, 62])/32 + 
       (35*f[7, 63])/32 - (35*f[7, 64])/32 + (31*f[7, 65])/64 - 
       (47*f[7, 66])/32 + (153*f[7, 67])/64 - (7*f[7, 68])/16 - 
       (15*f[7, 69])/16 + (23*f[7, 70])/64 - (23*f[7, 71])/64 + 
       (3*f[7, 72])/16 - (25*f[7, 73])/16 - (11*f[7, 74])/16 + 
       (109*f[7, 75])/32 - (29*f[7, 76])/128 - (71*f[7, 77])/128 + 
       (15*f[7, 78])/32 - (109*f[7, 79])/32 - (7*f[7, 80])/16 - 
       (501*f[7, 81])/16 + (55*f[7, 82])/32 + (147*f[7, 83])/16 + 
       (13*f[7, 84])/8 + (177*f[7, 85])/128 + (47*f[7, 86])/16 + 
       (29*f[7, 87])/16 + (21*f[7, 88])/16 - (17*f[7, 89])/8 - 
       (485*f[7, 90])/128 + (571*f[7, 91])/32 - (243*f[7, 92])/64 + 
       (215*f[7, 93])/128 + (285*f[7, 94])/32 - (3*f[7, 95])/16 + 
       (253*f[7, 96])/64 - (29*f[7, 97])/64 + (3*f[7, 98])/64 + 
       (31*f[7, 99])/32 - (559*f[7, 100])/32 - (131*f[7, 101])/64 - 
       (195*f[7, 102])/16 + (23*f[7, 103])/8 - (799*f[7, 104])/64 - 
       f[7, 105]/2 + (163*f[7, 106])/8 - (27*f[7, 107])/4 + 
       (13*f[7, 108])/2 + (303*f[7, 109])/32 - (473*f[7, 110])/128 + 
       (65*f[7, 111])/16 - (33*f[7, 112])/32 + (49*f[7, 113])/16 + 
       (17*f[7, 114])/4 + (1527*f[7, 115])/128 - (43*f[7, 116])/16 - 
       (1915*f[7, 117])/32 + (523*f[7, 118])/128 + (1231*f[7, 119])/128 + 
       (189*f[7, 120])/32 - (171*f[7, 121])/32 + (185*f[7, 122])/16 + 
       (39*f[7, 123])/16 - (241*f[7, 124])/32 - (353*f[7, 125])/32 + 
       (25*f[7, 126])/8 + f[7, 135]/8 - (27*f[7, 136])/8 - (3*f[7, 137])/16 - 
       (37*f[7, 138])/64 - f[7, 145] - 5*f[7, 146] - (43*f[7, 147])/16 - 
       (29*f[7, 148])/32 - (157*f[7, 149])/64 - (115*f[7, 150])/12)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (-f[7, 34]/2 - f[7, 45] - f[7, 46] + f[7, 47]/8 + f[7, 49]/4 + 
       f[7, 50]/2 - f[7, 51]/4 - f[7, 52]/4 - f[7, 54]/2 + f[7, 55]/2 - 
       (27*f[7, 56])/32 - (3*f[7, 57])/64 + 2*f[7, 58] + (21*f[7, 59])/16 + 
       (23*f[7, 60])/128 - (15*f[7, 61])/64 - (67*f[7, 62])/32 - 
       (67*f[7, 63])/32 + (67*f[7, 64])/32 - (127*f[7, 65])/64 + 
       (35*f[7, 66])/32 - (61*f[7, 67])/64 + (47*f[7, 68])/16 + 
       (43*f[7, 69])/16 - (27*f[7, 70])/64 + (27*f[7, 71])/64 - 
       (31*f[7, 72])/16 + (39*f[7, 73])/16 + (39*f[7, 74])/16 - 
       (5*f[7, 75])/64 - (399*f[7, 76])/128 + (591*f[7, 77])/128 - 
       (43*f[7, 78])/32 + (113*f[7, 79])/64 + (53*f[7, 80])/64 + 
       (63*f[7, 81])/16 - (249*f[7, 82])/32 - (181*f[7, 83])/16 - 
       (79*f[7, 84])/64 + (309*f[7, 85])/128 + (451*f[7, 86])/64 + 
       (147*f[7, 87])/64 - (51*f[7, 88])/64 + (19*f[7, 89])/8 + 
       (99*f[7, 90])/128 - (491*f[7, 91])/32 + (95*f[7, 92])/32 + 
       (399*f[7, 93])/128 - (413*f[7, 94])/64 + (367*f[7, 95])/64 - 
       (321*f[7, 96])/64 + f[7, 97]/64 + (65*f[7, 98])/64 + 
       (221*f[7, 99])/64 + (1211*f[7, 100])/32 + (329*f[7, 101])/64 + 
       (621*f[7, 102])/64 - (77*f[7, 103])/32 + (483*f[7, 104])/64 - 
       (117*f[7, 105])/64 - (259*f[7, 106])/16 + (53*f[7, 107])/2 - 
       (259*f[7, 108])/32 - (143*f[7, 109])/16 - (153*f[7, 110])/128 + 
       (17*f[7, 111])/16 - (25*f[7, 112])/16 - (173*f[7, 113])/64 - 
       (367*f[7, 114])/64 - (665*f[7, 115])/128 + (193*f[7, 116])/64 + 
       (3411*f[7, 117])/32 - (533*f[7, 118])/128 - (2015*f[7, 119])/128 - 
       (171*f[7, 120])/32 + (69*f[7, 121])/16 - (251*f[7, 122])/32 - 
       (73*f[7, 123])/32 + (227*f[7, 124])/32 + (275*f[7, 125])/32 - 
       (57*f[7, 126])/64 - (7*f[7, 136])/2 - (81*f[7, 137])/8 - 
       (113*f[7, 138])/8 + (51*f[7, 146])/4 + (41*f[7, 147])/4 - 
       (31*f[7, 148])/8 - 17*f[7, 149] + (845*f[7, 150])/96)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v] + 
     (-f[7, 133]/2 + f[7, 135]/2 + (9*f[7, 136])/4 + (269*f[7, 137])/8 + 
       (1419*f[7, 138])/32 - f[7, 145] - 7*f[7, 146] - (47*f[7, 147])/4 + 
       (167*f[7, 148])/4 + (2997*f[7, 149])/32 + (2359*f[7, 150])/48)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((-2*f[7, 31])/3 + (4*f[7, 33])/3 - (5*f[7, 62])/24 - (5*f[7, 63])/24 + 
       (5*f[7, 64])/24 - (5*f[7, 81])/6 + (5*f[7, 89])/24 - (5*f[7, 91])/6 - 
       (5*f[7, 96])/12 + (5*f[7, 97])/12 + (5*f[7, 98])/12 + 
       (5*f[7, 99])/24 + (5*f[7, 100])/3 + (5*f[7, 101])/24 + 
       (5*f[7, 102])/24 - (5*f[7, 103])/12 + (5*f[7, 104])/24 - 
       (5*f[7, 105])/12 - (5*f[7, 106])/6 + (5*f[7, 107])/6 - 
       (5*f[7, 108])/8 - (5*f[7, 109])/8 - (5*f[7, 110])/24 - 
       (5*f[7, 111])/24 + (5*f[7, 112])/24 - (5*f[7, 113])/24 - 
       (5*f[7, 114])/12 - (5*f[7, 115])/12 + (5*f[7, 116])/12 + 
       (25*f[7, 117])/6 - (5*f[7, 118])/8 - (5*f[7, 119])/6 - 
       (5*f[7, 120])/24 + (5*f[7, 121])/24 - (5*f[7, 122])/24 - 
       (5*f[7, 123])/24 + (5*f[7, 124])/12 + (5*f[7, 125])/8 + 
       (5*f[7, 126])/24 + (5*f[7, 150])/6)*HPL[{1}, 1 - u]^3*
      HPL[{0, 1, 1}, 1 - u] + (f[7, 41] + f[7, 42] + f[7, 47] - f[7, 48]/2 - 
       f[7, 49] - f[7, 51]/2 - f[7, 54] + (5*f[7, 56])/8 - (71*f[7, 57])/16 - 
       18*f[7, 58] + (14*f[7, 59])/3 - (5*f[7, 60])/32 + (45*f[7, 61])/16 + 
       (401*f[7, 62])/48 + (401*f[7, 63])/48 - (401*f[7, 64])/48 + 
       (261*f[7, 65])/16 - (149*f[7, 66])/8 - (5*f[7, 67])/16 - 
       (149*f[7, 68])/4 - (149*f[7, 69])/4 + (149*f[7, 70])/16 - 
       (149*f[7, 71])/16 + (145*f[7, 72])/4 - (149*f[7, 73])/4 - 
       (145*f[7, 74])/4 + (275*f[7, 75])/48 + (1581*f[7, 76])/32 - 
       (1229*f[7, 77])/32 + (149*f[7, 78])/8 - (935*f[7, 79])/48 + 
       (145*f[7, 80])/48 - (93*f[7, 81])/2 + (2749*f[7, 82])/24 + 
       (287*f[7, 83])/4 + (869*f[7, 84])/48 - (3889*f[7, 85])/96 - 
       (5297*f[7, 86])/48 - (2345*f[7, 87])/48 + (769*f[7, 88])/48 - 
       (659*f[7, 89])/48 - (727*f[7, 90])/96 + (2273*f[7, 91])/24 - 
       54*f[7, 92] - (3331*f[7, 93])/96 + (437*f[7, 94])/16 - 
       (1295*f[7, 95])/16 + (401*f[7, 96])/16 + (1217*f[7, 97])/48 + 
       (1217*f[7, 98])/48 - (749*f[7, 99])/24 - (7439*f[7, 100])/24 - 
       (104*f[7, 101])/3 - (188*f[7, 102])/3 + (11*f[7, 103])/6 - 
       (127*f[7, 104])/3 - (107*f[7, 105])/48 + (1939*f[7, 106])/12 - 
       (2111*f[7, 107])/12 + (2387*f[7, 108])/48 + (551*f[7, 109])/16 - 
       (271*f[7, 110])/32 - (1241*f[7, 111])/48 + (819*f[7, 112])/16 + 
       (101*f[7, 113])/3 + (1387*f[7, 114])/48 + (2969*f[7, 115])/96 + 
       (383*f[7, 116])/48 - (21977*f[7, 117])/24 + (463*f[7, 118])/96 + 
       (12199*f[7, 119])/96 + (973*f[7, 120])/16 - (737*f[7, 121])/16 + 
       (5413*f[7, 122])/48 + (503*f[7, 123])/16 - 78*f[7, 124] - 
       (3751*f[7, 125])/48 + (653*f[7, 126])/12 - (17*f[7, 136])/2 + 
       40*f[7, 137] + (151*f[7, 138])/4 - 20*f[7, 146] - 7*f[7, 147] - 
       (185*f[7, 148])/4 - (735*f[7, 149])/8 - (1009*f[7, 150])/12)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (2*f[7, 23] - 4*f[7, 32] - f[7, 37] + 8*f[7, 38] - 6*f[7, 39] - 
       10*f[7, 43] - 16*f[7, 44] - 4*f[7, 46] + f[7, 47]/2 - (9*f[7, 48])/2 - 
       6*f[7, 49] + 7*f[7, 50] - (11*f[7, 51])/2 - 2*f[7, 52] + 2*f[7, 53] - 
       10*f[7, 54] + 3*f[7, 55] - (149*f[7, 56])/8 + (535*f[7, 57])/16 + 
       103*f[7, 58] - (61*f[7, 59])/2 - (283*f[7, 60])/32 + 
       (51*f[7, 61])/16 - (755*f[7, 62])/16 - (755*f[7, 63])/16 + 
       (755*f[7, 64])/16 - (2493*f[7, 65])/16 + (1385*f[7, 66])/8 + 
       (473*f[7, 67])/16 + (1339*f[7, 68])/4 + (1337*f[7, 69])/4 - 
       (1289*f[7, 70])/16 + (1289*f[7, 71])/16 - (1335*f[7, 72])/4 + 
       (1335*f[7, 73])/4 + (1321*f[7, 74])/4 - (289*f[7, 75])/8 - 
       (14505*f[7, 76])/32 + (10741*f[7, 77])/32 - (1281*f[7, 78])/8 + 
       (729*f[7, 79])/4 + (43*f[7, 80])/2 + (1233*f[7, 81])/4 - 
       (9025*f[7, 82])/8 - (2989*f[7, 83])/4 - (1309*f[7, 84])/8 + 
       (13005*f[7, 85])/32 + (4121*f[7, 86])/4 + (1859*f[7, 87])/4 - 
       (1215*f[7, 88])/8 + (1733*f[7, 89])/16 + (2235*f[7, 90])/32 - 
       (4275*f[7, 91])/8 + (8071*f[7, 92])/16 + (11579*f[7, 93])/32 - 
       (923*f[7, 94])/8 + (5895*f[7, 95])/8 - (2825*f[7, 96])/16 - 
       (4511*f[7, 97])/16 - (4479*f[7, 98])/16 + (4691*f[7, 99])/16 + 
       (20617*f[7, 100])/8 + (2237*f[7, 101])/8 + (7063*f[7, 102])/16 + 
       (215*f[7, 103])/8 + (1107*f[7, 104])/4 + (337*f[7, 105])/4 - 
       (5789*f[7, 106])/4 + (5913*f[7, 107])/4 - (6687*f[7, 108])/16 - 
       (4889*f[7, 109])/16 + (3457*f[7, 110])/32 + (4807*f[7, 111])/16 - 
       (8119*f[7, 112])/16 - (3029*f[7, 113])/16 - (921*f[7, 114])/4 - 
       (6645*f[7, 115])/32 - (429*f[7, 116])/4 + (63579*f[7, 117])/8 - 
       (391*f[7, 118])/32 - (33933*f[7, 119])/32 - (8171*f[7, 120])/16 + 
       (6203*f[7, 121])/16 - (15585*f[7, 122])/16 - (4973*f[7, 123])/16 + 
       (1395*f[7, 124])/2 + (10009*f[7, 125])/16 - (7801*f[7, 126])/16 - 
       f[7, 135] + 53*f[7, 136] - (1187*f[7, 137])/4 - (4217*f[7, 138])/16 + 
       4*f[7, 145] + 96*f[7, 146] + (19*f[7, 147])/2 + (3385*f[7, 148])/8 + 
       (15627*f[7, 149])/16 + (8215*f[7, 150])/12)*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u] + (2*f[7, 32] + 3*f[7, 39] + f[7, 41] - 
       f[7, 42] + 5*f[7, 43] + 8*f[7, 44] + (3*f[7, 47])/4 + (3*f[7, 48])/4 + 
       3*f[7, 49] - (5*f[7, 50])/2 + (9*f[7, 51])/4 + (9*f[7, 54])/2 + 
       (99*f[7, 56])/8 - (235*f[7, 57])/16 - 43*f[7, 58] + 
       (179*f[7, 59])/24 + (215*f[7, 60])/32 + (97*f[7, 61])/16 + 
       (1075*f[7, 62])/48 + (1075*f[7, 63])/48 - (1075*f[7, 64])/48 + 
       (1449*f[7, 65])/16 - (785*f[7, 66])/8 - (421*f[7, 67])/16 - 
       (785*f[7, 68])/4 - (785*f[7, 69])/4 + (785*f[7, 70])/16 - 
       (785*f[7, 71])/16 + (797*f[7, 72])/4 - (785*f[7, 73])/4 - 
       (391*f[7, 74])/2 + (139*f[7, 75])/48 + (8913*f[7, 76])/32 - 
       (6401*f[7, 77])/32 + (785*f[7, 78])/8 - (4741*f[7, 79])/48 - 
       (71*f[7, 80])/6 - (625*f[7, 81])/8 + (15815*f[7, 82])/24 + 
       415*f[7, 83] + (4327*f[7, 84])/48 - (23597*f[7, 85])/96 - 
       (30499*f[7, 86])/48 - (13975*f[7, 87])/48 + (3995*f[7, 88])/48 - 
       (2773*f[7, 89])/48 - (2591*f[7, 90])/96 + (5473*f[7, 91])/24 - 
       (4589*f[7, 92])/16 - (20879*f[7, 93])/96 + (525*f[7, 94])/16 - 
       (6983*f[7, 95])/16 + (1409*f[7, 96])/16 + (8401*f[7, 97])/48 + 
       (8401*f[7, 98])/48 - (4273*f[7, 99])/24 - (35731*f[7, 100])/24 - 
       (3923*f[7, 101])/24 - (10435*f[7, 102])/48 - (289*f[7, 103])/12 - 
       (5663*f[7, 104])/48 - (2713*f[7, 105])/48 + (18877*f[7, 106])/24 - 
       (10201*f[7, 107])/12 + (10849*f[7, 108])/48 + (2389*f[7, 109])/16 - 
       (1795*f[7, 110])/32 - (9235*f[7, 111])/48 + (4831*f[7, 112])/16 + 
       (4735*f[7, 113])/48 + (6059*f[7, 114])/48 + (7669*f[7, 115])/96 + 
       (3487*f[7, 116])/48 - (108841*f[7, 117])/24 - (1339*f[7, 118])/96 + 
       (58235*f[7, 119])/96 + (2343*f[7, 120])/8 - (3273*f[7, 121])/16 + 
       (25283*f[7, 122])/48 + (2759*f[7, 123])/16 - 376*f[7, 124] - 
       (15425*f[7, 125])/48 + (1649*f[7, 126])/6 - (157*f[7, 136])/4 + 
       (1835*f[7, 137])/8 + (6981*f[7, 138])/32 - 8*f[7, 146] + 
       (35*f[7, 147])/2 - (1353*f[7, 148])/8 - (14101*f[7, 149])/32 - 
       (3493*f[7, 150])/16)*HPL[{0, 1, 1}, 1 - u]^2 + 
     (-f[7, 41]/4 + f[7, 42]/12 - f[7, 47]/8 + f[7, 48]/8 - f[7, 55]/6 + 
       f[7, 56]/8 + f[7, 57]/6 + (5*f[7, 58])/3 - (35*f[7, 59])/48 + 
       f[7, 60]/12 + f[7, 61]/3 - (145*f[7, 62])/192 - (145*f[7, 63])/192 + 
       (145*f[7, 64])/192 + f[7, 66]/6 - (3*f[7, 67])/4 + f[7, 68]/3 + 
       f[7, 69]/3 - f[7, 70]/12 + f[7, 71]/12 - f[7, 72]/3 + f[7, 73]/3 + 
       f[7, 74]/3 - (9*f[7, 75])/8 + f[7, 76]/12 + (5*f[7, 77])/12 - 
       f[7, 78]/6 + (7*f[7, 79])/24 - (7*f[7, 80])/8 + (283*f[7, 81])/48 + 
       (2*f[7, 82])/3 + f[7, 83]/2 - f[7, 84]/3 - (5*f[7, 85])/8 - 
       (7*f[7, 86])/8 - (17*f[7, 87])/24 - f[7, 88]/6 + (89*f[7, 89])/192 + 
       f[7, 90]/24 - (167*f[7, 91])/16 + (5*f[7, 92])/12 - (3*f[7, 93])/4 - 
       (197*f[7, 94])/48 + (13*f[7, 95])/24 - (43*f[7, 96])/32 + 
       (27*f[7, 97])/32 + (27*f[7, 98])/32 - (71*f[7, 99])/192 + 
       (51*f[7, 100])/8 + (51*f[7, 101])/64 + (811*f[7, 102])/192 - 
       (27*f[7, 103])/32 + (731*f[7, 104])/192 - (121*f[7, 105])/96 - 
       (41*f[7, 106])/12 + (169*f[7, 107])/48 - (235*f[7, 108])/192 - 
       (163*f[7, 109])/192 - (11*f[7, 110])/64 - (265*f[7, 111])/192 + 
       (19*f[7, 112])/64 - (563*f[7, 113])/192 - (23*f[7, 114])/32 - 
       (75*f[7, 115])/32 + (49*f[7, 116])/96 + (255*f[7, 117])/16 - 
       (301*f[7, 118])/192 - (127*f[7, 119])/48 - (29*f[7, 120])/64 + 
       (329*f[7, 121])/192 - (617*f[7, 122])/192 - (17*f[7, 123])/192 + 
       (173*f[7, 124])/96 + (217*f[7, 125])/64 - (69*f[7, 126])/64 + 
       f[7, 136]/3 - (2*f[7, 137])/3 - (7*f[7, 138])/12 + (8*f[7, 146])/3 + 
       (5*f[7, 147])/3 + (7*f[7, 148])/4 - f[7, 149]/4 + (95*f[7, 150])/16)*
      HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - v] + 
     ((45*f[7, 56])/32 + (5*f[7, 57])/64 - f[7, 58]/2 - (19*f[7, 59])/16 + 
       (87*f[7, 60])/128 + (185*f[7, 61])/64 + (41*f[7, 62])/32 + 
       (41*f[7, 63])/32 - (41*f[7, 64])/32 + (561*f[7, 65])/64 - 
       (281*f[7, 66])/32 - (265*f[7, 67])/64 - (281*f[7, 68])/16 - 
       (281*f[7, 69])/16 + (281*f[7, 70])/64 - (281*f[7, 71])/64 + 
       (281*f[7, 72])/16 - (281*f[7, 73])/16 - (281*f[7, 74])/16 - 
       (151*f[7, 75])/64 + (3313*f[7, 76])/128 - (2249*f[7, 77])/128 + 
       (281*f[7, 78])/32 - (549*f[7, 79])/64 - (201*f[7, 80])/64 + 
       (61*f[7, 81])/16 + (2011*f[7, 82])/32 + (651*f[7, 83])/16 + 
       (499*f[7, 84])/64 - (3111*f[7, 85])/128 - (3859*f[7, 86])/64 - 
       (1799*f[7, 87])/64 + (439*f[7, 88])/64 - (17*f[7, 89])/4 - 
       (297*f[7, 90])/128 + (21*f[7, 91])/32 - (409*f[7, 92])/16 - 
       (2829*f[7, 93])/128 - (259*f[7, 94])/64 - (2511*f[7, 95])/64 + 
       (347*f[7, 96])/64 + (1233*f[7, 97])/64 + (1233*f[7, 98])/64 - 
       (1101*f[7, 99])/64 - (3901*f[7, 100])/32 - (835*f[7, 101])/64 - 
       (725*f[7, 102])/64 - (149*f[7, 103])/32 - (189*f[7, 104])/64 - 
       (487*f[7, 105])/64 + (1057*f[7, 106])/16 - (279*f[7, 107])/4 + 
       (569*f[7, 108])/32 + (185*f[7, 109])/16 - (741*f[7, 110])/128 - 
       (339*f[7, 111])/16 + (225*f[7, 112])/8 + (157*f[7, 113])/64 + 
       (691*f[7, 114])/64 + (371*f[7, 115])/128 + (487*f[7, 116])/64 - 
       (12309*f[7, 117])/32 - (721*f[7, 118])/128 + (6393*f[7, 119])/128 + 
       (869*f[7, 120])/32 - (57*f[7, 121])/4 + (1291*f[7, 122])/32 + 
       (471*f[7, 123])/32 - (927*f[7, 124])/32 - (647*f[7, 125])/32 + 
       (1445*f[7, 126])/64 - f[7, 132]/2 + f[7, 134]/2 - f[7, 135]/4 + 
       (37*f[7, 136])/2 - (1499*f[7, 137])/16 - (6027*f[7, 138])/64 + 
       f[7, 144] - f[7, 145]/2 - (73*f[7, 146])/2 - (63*f[7, 147])/8 - 
       (2419*f[7, 148])/16 - (21709*f[7, 149])/64 - (7345*f[7, 150])/32)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (f[7, 47]/4 - f[7, 50] - (3*f[7, 52])/2 - f[7, 53] - 2*f[7, 55] - 
       (21*f[7, 56])/16 - (29*f[7, 57])/32 + (11*f[7, 58])/2 + 
       (7*f[7, 59])/24 - (71*f[7, 60])/64 - (81*f[7, 61])/32 - 
       (275*f[7, 62])/96 - (275*f[7, 63])/96 + (275*f[7, 64])/96 - 
       (329*f[7, 65])/32 + (153*f[7, 66])/16 + (65*f[7, 67])/32 + 
       (181*f[7, 68])/8 + (177*f[7, 69])/8 - (193*f[7, 70])/32 + 
       (193*f[7, 71])/32 - (189*f[7, 72])/8 + (185*f[7, 73])/8 + 
       (181*f[7, 74])/8 + (367*f[7, 75])/96 - (2049*f[7, 76])/64 + 
       (1017*f[7, 77])/64 - (177*f[7, 78])/16 + (977*f[7, 79])/96 - 
       (49*f[7, 80])/96 + (31*f[7, 81])/8 - (3577*f[7, 82])/48 - 
       (337*f[7, 83])/8 - (731*f[7, 84])/96 + (5305*f[7, 85])/192 + 
       (7139*f[7, 86])/96 + (3287*f[7, 87])/96 - (703*f[7, 88])/96 + 
       (713*f[7, 89])/96 - (65*f[7, 90])/192 - (1865*f[7, 91])/48 + 
       32*f[7, 92] + (4843*f[7, 93])/192 - (203*f[7, 94])/32 + 
       (1493*f[7, 95])/32 - (249*f[7, 96])/32 - (1745*f[7, 97])/96 - 
       (1745*f[7, 98])/96 + (965*f[7, 99])/48 + (7211*f[7, 100])/48 + 
       (643*f[7, 101])/48 + (1339*f[7, 102])/48 + (11*f[7, 103])/24 + 
       (44*f[7, 104])/3 + (629*f[7, 105])/96 - (983*f[7, 106])/12 + 
       (1721*f[7, 107])/24 - (2333*f[7, 108])/96 - (533*f[7, 109])/32 + 
       (587*f[7, 110])/64 + (2243*f[7, 111])/96 - (921*f[7, 112])/32 - 
       (679*f[7, 113])/48 - (1501*f[7, 114])/96 - (593*f[7, 115])/192 - 
       (425*f[7, 116])/96 + (21401*f[7, 117])/48 + (17*f[7, 118])/192 - 
       (11539*f[7, 119])/192 - (973*f[7, 120])/32 + (535*f[7, 121])/32 - 
       (4375*f[7, 122])/96 - (457*f[7, 123])/32 + (61*f[7, 124])/2 + 
       (2509*f[7, 125])/96 - (569*f[7, 126])/24 - 2*f[7, 134] - f[7, 135] + 
       (81*f[7, 136])/4 - (1541*f[7, 137])/8 - (5951*f[7, 138])/32 - 
       f[7, 139] - f[7, 145] - (61*f[7, 146])/2 - 2*f[7, 147] - 
       (2665*f[7, 148])/16 - (12591*f[7, 149])/32 - (4065*f[7, 150])/16)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (-f[7, 7] + f[7, 22] - 4*f[7, 24] - 4*f[7, 25] - 3*f[7, 29] - 
       3*f[7, 34] + 2*f[7, 41] + 2*f[7, 42] - 4*f[7, 43] - 4*f[7, 44] - 
       2*f[7, 45] - 2*f[7, 46] + 7*f[7, 47] - (7*f[7, 48])/2 - 
       (5*f[7, 49])/2 - 12*f[7, 50] - (15*f[7, 51])/2 - 19*f[7, 52] - 
       15*f[7, 53] - (25*f[7, 54])/2 - 31*f[7, 55] - (99*f[7, 56])/8 - 
       (77*f[7, 57])/16 + 13*f[7, 58] + (11*f[7, 59])/4 - (167*f[7, 60])/32 - 
       (57*f[7, 61])/16 - (51*f[7, 62])/8 - (51*f[7, 63])/8 + 
       (51*f[7, 64])/8 - (3081*f[7, 65])/16 + (1665*f[7, 66])/8 + 
       (1681*f[7, 67])/16 + (1929*f[7, 68])/4 + (1897*f[7, 69])/4 - 
       (1921*f[7, 70])/16 + (1953*f[7, 71])/16 - (2001*f[7, 72])/4 + 
       (1919*f[7, 73])/4 + (1929*f[7, 74])/4 + (141*f[7, 75])/2 - 
       (22573*f[7, 76])/32 + (13889*f[7, 77])/32 - (1857*f[7, 78])/8 + 
       (1685*f[7, 79])/8 + (521*f[7, 80])/8 - (573*f[7, 81])/2 - 
       (13721*f[7, 82])/8 - (3749*f[7, 83])/4 - (765*f[7, 84])/4 + 
       (21093*f[7, 85])/32 + (13449*f[7, 86])/8 + (6325*f[7, 87])/8 - 
       (395*f[7, 88])/2 + (207*f[7, 89])/2 + (1011*f[7, 90])/32 - 
       (2181*f[7, 91])/8 + (11429*f[7, 92])/16 + (18579*f[7, 93])/32 + 
       (969*f[7, 94])/8 + 1071*f[7, 95] - (1731*f[7, 96])/16 - 
       (7173*f[7, 97])/16 - (7141*f[7, 98])/16 + (1895*f[7, 99])/4 + 
       (26065*f[7, 100])/8 + (5217*f[7, 101])/16 + 328*f[7, 102] + 
       (375*f[7, 103])/4 + (1299*f[7, 104])/16 + 210*f[7, 105] - 
       (6755*f[7, 106])/4 + 1787*f[7, 107] - (1815*f[7, 108])/4 - 
       (1997*f[7, 109])/8 + (5339*f[7, 110])/32 + (2295*f[7, 111])/4 - 
       (3107*f[7, 112])/4 - (833*f[7, 113])/8 - (989*f[7, 114])/4 + 
       (839*f[7, 115])/32 - (475*f[7, 116])/2 + (78629*f[7, 117])/8 + 
       (4231*f[7, 118])/32 - (40433*f[7, 119])/32 - 662*f[7, 120] + 
       (3127*f[7, 121])/8 - (4389*f[7, 122])/4 - (1581*f[7, 123])/4 + 
       (6309*f[7, 124])/8 + (4601*f[7, 125])/8 - (2533*f[7, 126])/4 - 
       f[7, 133] - (3*f[7, 135])/2 + 15*f[7, 136] - (1155*f[7, 137])/4 - 
       (4087*f[7, 138])/16 + 2*f[7, 139] - 24*f[7, 145] - 5*f[7, 146] - 
       (263*f[7, 147])/4 + (5843*f[7, 148])/8 + (28527*f[7, 149])/16 + 
       (2093*f[7, 150])/3)*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (2*f[7, 48] - 2*f[7, 55] - (115*f[7, 56])/8 - (27*f[7, 57])/16 + 
       2*f[7, 58] + (115*f[7, 59])/12 - (273*f[7, 60])/32 - 
       (391*f[7, 61])/16 - (107*f[7, 62])/12 - (107*f[7, 63])/12 + 
       (107*f[7, 64])/12 - (1071*f[7, 65])/16 + (527*f[7, 66])/8 + 
       (511*f[7, 67])/16 + (527*f[7, 68])/4 + (527*f[7, 69])/4 - 
       (527*f[7, 70])/16 + (527*f[7, 71])/16 - (527*f[7, 72])/4 + 
       (527*f[7, 73])/4 + (527*f[7, 74])/4 + (979*f[7, 75])/48 - 
       (6263*f[7, 76])/32 + (4199*f[7, 77])/32 - (527*f[7, 78])/8 + 
       (3089*f[7, 79])/48 + (1193*f[7, 80])/48 - (127*f[7, 81])/4 - 
       (11359*f[7, 82])/24 - (1237*f[7, 83])/4 - (2783*f[7, 84])/48 + 
       (17611*f[7, 85])/96 + (21863*f[7, 86])/48 + (10247*f[7, 87])/48 - 
       (2419*f[7, 88])/48 + (769*f[7, 89])/24 + (1429*f[7, 90])/96 + 
       (19*f[7, 91])/24 + (765*f[7, 92])/4 + (16081*f[7, 93])/96 + 
       (501*f[7, 94])/16 + (4677*f[7, 95])/16 - (605*f[7, 96])/16 - 
       (7073*f[7, 97])/48 - (7073*f[7, 98])/48 + (6247*f[7, 99])/48 + 
       (21809*f[7, 100])/24 + (4649*f[7, 101])/48 + (3971*f[7, 102])/48 + 
       (859*f[7, 103])/24 + (967*f[7, 104])/48 + (2879*f[7, 105])/48 - 
       (5935*f[7, 106])/12 + (3115*f[7, 107])/6 - (805*f[7, 108])/6 - 
       (707*f[7, 109])/8 + (1391*f[7, 110])/32 + (3847*f[7, 111])/24 - 
       (1679*f[7, 112])/8 - (755*f[7, 113])/48 - (4015*f[7, 114])/48 - 
       (2039*f[7, 115])/96 - (2687*f[7, 116])/48 + (69173*f[7, 117])/24 + 
       (4073*f[7, 118])/96 - (35917*f[7, 119])/96 - (409*f[7, 120])/2 + 
       (827*f[7, 121])/8 - (1775*f[7, 122])/6 - (217*f[7, 123])/2 + 
       (1695*f[7, 124])/8 + (1741*f[7, 125])/12 - (7955*f[7, 126])/48 + 
       2*f[7, 132] - 2*f[7, 134] + (3*f[7, 135])/2 - 42*f[7, 136] + 
       (395*f[7, 137])/2 + (1685*f[7, 138])/8 - 4*f[7, 144] + 2*f[7, 145] + 
       81*f[7, 146] - (7*f[7, 147])/4 + (2069*f[7, 148])/4 + 
       (4899*f[7, 149])/4 + (5857*f[7, 150])/8)*HPL[{0, 1, 1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v] + (-f[7, 42] + 2*f[7, 55])*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1}, 1 - u] + (4*f[7, 23] + f[7, 34] - 2*f[7, 35] + 
       8*f[7, 38] - 2*f[7, 40] - 4*f[7, 41] - 4*f[7, 42] - 2*f[7, 45] - 
       6*f[7, 46] + (3*f[7, 48])/2 + (3*f[7, 49])/2 - (3*f[7, 51])/2 + 
       2*f[7, 52] - 5*f[7, 53] + f[7, 54]/2 + 8*f[7, 55] - (11*f[7, 56])/8 + 
       (439*f[7, 57])/16 + 45*f[7, 58] - (121*f[7, 59])/12 + 
       (277*f[7, 60])/32 + (411*f[7, 61])/16 - (791*f[7, 62])/24 - 
       (791*f[7, 63])/24 + (791*f[7, 64])/24 - (1293*f[7, 65])/16 + 
       (921*f[7, 66])/8 + (489*f[7, 67])/16 + (943*f[7, 68])/4 + 
       (929*f[7, 69])/4 - (945*f[7, 70])/16 + (945*f[7, 71])/16 - 
       (919*f[7, 72])/4 + (947*f[7, 73])/4 + (927*f[7, 74])/4 - 
       (583*f[7, 75])/48 - (10101*f[7, 76])/32 + (8117*f[7, 77])/32 - 
       (873*f[7, 78])/8 + (4741*f[7, 79])/48 + (451*f[7, 80])/48 - 
       (343*f[7, 81])/4 - (18773*f[7, 82])/24 - (1621*f[7, 83])/4 - 
       (5107*f[7, 84])/48 + (28313*f[7, 85])/96 + (35557*f[7, 86])/48 + 
       (15841*f[7, 87])/48 - (5183*f[7, 88])/48 + (214*f[7, 89])/3 + 
       (4331*f[7, 90])/96 - (9139*f[7, 91])/24 + (2673*f[7, 92])/8 + 
       (23375*f[7, 93])/96 - (575*f[7, 94])/16 + (8485*f[7, 95])/16 - 
       (2279*f[7, 96])/16 - (7063*f[7, 97])/48 - (6871*f[7, 98])/48 + 
       (11075*f[7, 99])/48 + (47623*f[7, 100])/24 + (10807*f[7, 101])/48 + 
       (12295*f[7, 102])/48 - (37*f[7, 103])/6 + (6149*f[7, 104])/48 + 
       (1099*f[7, 105])/48 - (10925*f[7, 106])/12 + (3538*f[7, 107])/3 - 
       (6683*f[7, 108])/24 - (341*f[7, 109])/2 + (1517*f[7, 110])/32 + 
       (676*f[7, 111])/3 - (2921*f[7, 112])/8 - (6043*f[7, 113])/48 - 
       (6731*f[7, 114])/48 - (7165*f[7, 115])/96 - (3739*f[7, 116])/48 + 
       (134779*f[7, 117])/24 - (1325*f[7, 118])/96 - (73043*f[7, 119])/96 - 
       (2723*f[7, 120])/8 + (1071*f[7, 121])/4 - (15715*f[7, 122])/24 - 
       (1819*f[7, 123])/8 + (3989*f[7, 124])/8 + (10543*f[7, 125])/24 - 
       (15805*f[7, 126])/48 - 5*f[7, 133] - 2*f[7, 135] + (41*f[7, 136])/2 - 
       (809*f[7, 137])/2 - (3029*f[7, 138])/8 + 10*f[7, 145] + 40*f[7, 146] + 
       11*f[7, 147] + (367*f[7, 148])/4 + (731*f[7, 149])/4 + 
       (1709*f[7, 150])/6)*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u] - 
     f[7, 42]*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-f[7, 9] - 3*f[7, 23] + f[7, 28] + 4*f[7, 32] - f[7, 36] + f[7, 37] - 
       8*f[7, 38] - 3*f[7, 39] - f[7, 40] + 4*f[7, 42] + 9*f[7, 43] + 
       10*f[7, 44] + f[7, 45] + 5*f[7, 46] - 3*f[7, 47] - (5*f[7, 48])/4 + 
       8*f[7, 49] - 8*f[7, 50] + (21*f[7, 51])/4 + (4*f[7, 52])/3 - 
       (5*f[7, 53])/2 + (23*f[7, 54])/4 - f[7, 55] + (25*f[7, 56])/2 - 
       (1123*f[7, 57])/48 - (353*f[7, 58])/3 + (237*f[7, 59])/8 + 
       (215*f[7, 60])/96 - (379*f[7, 61])/48 + (1693*f[7, 62])/32 + 
       (1693*f[7, 63])/32 - (1693*f[7, 64])/32 + (8621*f[7, 65])/48 - 
       (1621*f[7, 66])/8 - (1711*f[7, 67])/48 - (1573*f[7, 68])/4 - 
       (1573*f[7, 69])/4 + (4615*f[7, 70])/48 - (4639*f[7, 71])/48 + 
       396*f[7, 72] - (4715*f[7, 73])/12 - (1561*f[7, 74])/4 + 
       (663*f[7, 75])/16 + (51307*f[7, 76])/96 - (12711*f[7, 77])/32 + 
       (1511*f[7, 78])/8 - (9935*f[7, 79])/48 - (985*f[7, 80])/48 - 
       (7223*f[7, 81])/24 + (10499*f[7, 82])/8 + (10171*f[7, 83])/12 + 
       (9005*f[7, 84])/48 - (15201*f[7, 85])/32 - (58829*f[7, 86])/48 - 
       (26353*f[7, 87])/48 + (8717*f[7, 88])/48 - (11935*f[7, 89])/96 - 
       (2771*f[7, 90])/32 + (3647*f[7, 91])/6 - (28093*f[7, 92])/48 - 
       (13491*f[7, 93])/32 + (473*f[7, 94])/4 - (42169*f[7, 95])/48 + 
       (2653*f[7, 96])/12 + (1927*f[7, 97])/6 + (1909*f[7, 98])/6 - 
       (11047*f[7, 99])/32 - (24375*f[7, 100])/8 - (31999*f[7, 101])/96 - 
       (48283*f[7, 102])/96 - (113*f[7, 103])/4 - (29273*f[7, 104])/96 - 
       (989*f[7, 105])/12 + (20045*f[7, 106])/12 - (42083*f[7, 107])/24 + 
       (46877*f[7, 108])/96 + (32761*f[7, 109])/96 - (5779*f[7, 110])/48 - 
       (34165*f[7, 111])/96 + (57565*f[7, 112])/96 + (21343*f[7, 113])/96 + 
       (1571*f[7, 114])/6 + (20969*f[7, 115])/96 + (3185*f[7, 116])/24 - 
       (27929*f[7, 117])/3 + (217*f[7, 118])/24 + (119539*f[7, 119])/96 + 
       (57433*f[7, 120])/96 - (14553*f[7, 121])/32 + (36613*f[7, 122])/32 + 
       (11893*f[7, 123])/32 - (39689*f[7, 124])/48 - (71341*f[7, 125])/96 + 
       (18497*f[7, 126])/32 - 4*f[7, 129] + f[7, 132] - f[7, 134] + 
       (5*f[7, 135])/4 - (385*f[7, 136])/6 + (877*f[7, 137])/3 + 
       277*f[7, 138] - 2*f[7, 144] - 2*f[7, 145] - (317*f[7, 146])/3 - 
       (125*f[7, 147])/24 - (4381*f[7, 148])/8 - (30847*f[7, 149])/24 - 
       (19943*f[7, 150])/24)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u] + (2*f[7, 23] - 2*f[7, 41] - 2*f[7, 42] + 
       f[7, 48] + (19*f[7, 56])/8 + (59*f[7, 57])/16 + 18*f[7, 58] - 
       (65*f[7, 59])/12 + (33*f[7, 60])/32 + (135*f[7, 61])/16 - 
       (20*f[7, 62])/3 - (20*f[7, 63])/3 + (20*f[7, 64])/3 + 
       (15*f[7, 65])/16 + (33*f[7, 66])/8 - (111*f[7, 67])/16 + 
       (33*f[7, 68])/4 + (33*f[7, 69])/4 - (33*f[7, 70])/16 + 
       (33*f[7, 71])/16 - (33*f[7, 72])/4 + (33*f[7, 73])/4 + 
       (33*f[7, 74])/4 - (503*f[7, 75])/48 - (193*f[7, 76])/32 + 
       (345*f[7, 77])/32 - (33*f[7, 78])/8 + (251*f[7, 79])/48 - 
       (445*f[7, 80])/48 + (173*f[7, 81])/4 - (265*f[7, 82])/24 + 
       (13*f[7, 83])/4 - (233*f[7, 84])/48 + (13*f[7, 85])/96 + 
       (509*f[7, 86])/48 + (65*f[7, 87])/48 - (277*f[7, 88])/48 + 
       (151*f[7, 89])/24 + (355*f[7, 90])/96 - (2747*f[7, 91])/24 + 
       14*f[7, 92] - (329*f[7, 93])/96 - (573*f[7, 94])/16 + 
       (283*f[7, 95])/16 - (295*f[7, 96])/16 + (625*f[7, 97])/48 + 
       (625*f[7, 98])/48 + (157*f[7, 99])/48 + (2927*f[7, 100])/24 + 
       (743*f[7, 101])/48 + (2249*f[7, 102])/48 - (275*f[7, 103])/24 + 
       (1945*f[7, 104])/48 - (655*f[7, 105])/48 - (607*f[7, 106])/12 + 
       (421*f[7, 107])/6 - (121*f[7, 108])/6 - (103*f[7, 109])/8 - 
       (39*f[7, 110])/32 - (233*f[7, 111])/24 - (43*f[7, 112])/8 - 
       (1577*f[7, 113])/48 - (433*f[7, 114])/48 - (2129*f[7, 115])/96 + 
       (127*f[7, 116])/48 + (7115*f[7, 117])/24 - (1681*f[7, 118])/96 - 
       (4387*f[7, 119])/96 - (49*f[7, 120])/4 + (189*f[7, 121])/8 - 
       (293*f[7, 122])/6 - (37*f[7, 123])/4 + (271*f[7, 124])/8 + 
       (583*f[7, 125])/12 - (917*f[7, 126])/48 + f[7, 136] + 
       (157*f[7, 137])/4 + (607*f[7, 138])/16 - 2*f[7, 145] + 34*f[7, 146] + 
       16*f[7, 147] + 83*f[7, 148] + (2243*f[7, 149])/16 + 
       (3191*f[7, 150])/24)*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (f[7, 56]/16 + f[7, 57]/32 + f[7, 58]/2 - f[7, 59]/8 + (3*f[7, 60])/64 + 
       (5*f[7, 61])/32 - (9*f[7, 62])/32 - (9*f[7, 63])/32 + 
       (9*f[7, 64])/32 - (3*f[7, 65])/32 + (3*f[7, 66])/16 - 
       (5*f[7, 67])/32 + (3*f[7, 68])/8 + (3*f[7, 69])/8 - (3*f[7, 70])/32 + 
       (3*f[7, 71])/32 - (3*f[7, 72])/8 + (3*f[7, 73])/8 + (3*f[7, 74])/8 - 
       (7*f[7, 75])/32 - (27*f[7, 76])/64 + (27*f[7, 77])/64 - 
       (3*f[7, 78])/16 + (7*f[7, 79])/32 - (7*f[7, 80])/32 + (7*f[7, 81])/8 - 
       (13*f[7, 82])/16 - (3*f[7, 83])/8 - (5*f[7, 84])/32 + 
       (13*f[7, 85])/64 + (29*f[7, 86])/32 + (13*f[7, 87])/32 - 
       (5*f[7, 88])/32 + (11*f[7, 89])/32 - (5*f[7, 90])/64 - 
       (69*f[7, 91])/16 + (9*f[7, 92])/16 + (7*f[7, 93])/64 - 
       (43*f[7, 94])/32 + (25*f[7, 95])/32 - (19*f[7, 96])/32 + 
       (11*f[7, 97])/32 + (11*f[7, 98])/32 + (5*f[7, 99])/16 + 
       (83*f[7, 100])/16 + (5*f[7, 101])/8 + (27*f[7, 102])/16 - 
       f[7, 103]/2 + (23*f[7, 104])/16 - (13*f[7, 105])/32 - 2*f[7, 106] + 
       (23*f[7, 107])/8 - (35*f[7, 108])/32 - (29*f[7, 109])/32 - 
       (7*f[7, 110])/64 - (7*f[7, 111])/32 - (9*f[7, 112])/32 - 
       (17*f[7, 113])/16 - (23*f[7, 114])/32 - (61*f[7, 115])/64 + 
       (9*f[7, 116])/32 + (221*f[7, 117])/16 - (55*f[7, 118])/64 - 
       (139*f[7, 119])/64 - (21*f[7, 120])/32 + (27*f[7, 121])/32 - 
       (53*f[7, 122])/32 - (13*f[7, 123])/32 + (5*f[7, 124])/4 + 
       (55*f[7, 125])/32 - f[7, 126]/2 + f[7, 137]/8 + (3*f[7, 138])/32 + 
       f[7, 146] + f[7, 147]/2 + (3*f[7, 148])/2 + (71*f[7, 149])/32 + 
       (49*f[7, 150])/16)*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-f[7, 25]/2 - f[7, 29]/2 - f[7, 51]/2 - (5*f[7, 52])/2 - f[7, 54]/2 + 
       (3*f[7, 56])/16 + (35*f[7, 57])/32 + (27*f[7, 58])/2 - f[7, 59]/8 + 
       (41*f[7, 60])/64 + (47*f[7, 61])/32 - (143*f[7, 62])/32 - 
       (143*f[7, 63])/32 + (143*f[7, 64])/32 - (289*f[7, 65])/32 + 
       (141*f[7, 66])/16 - (35*f[7, 67])/32 + (181*f[7, 68])/8 + 
       (181*f[7, 69])/8 - (181*f[7, 70])/32 + (181*f[7, 71])/32 - 
       (165*f[7, 72])/8 + (177*f[7, 73])/8 + (165*f[7, 74])/8 - 
       (155*f[7, 75])/32 - (2065*f[7, 76])/64 + (1217*f[7, 77])/64 - 
       (181*f[7, 78])/16 + (453*f[7, 79])/32 - (17*f[7, 80])/32 + 
       (321*f[7, 81])/8 - (1187*f[7, 82])/16 - (367*f[7, 83])/8 - 
       (367*f[7, 84])/32 + (1587*f[7, 85])/64 + (2233*f[7, 86])/32 + 
       (1013*f[7, 87])/32 - (371*f[7, 88])/32 + (305*f[7, 89])/32 + 
       (337*f[7, 90])/64 - (1199*f[7, 91])/16 + (153*f[7, 92])/4 + 
       (1401*f[7, 93])/64 - (645*f[7, 94])/32 + (1563*f[7, 95])/32 - 
       (489*f[7, 96])/32 - (431*f[7, 97])/32 - (431*f[7, 98])/32 + 
       (159*f[7, 99])/8 + (2945*f[7, 100])/16 + (147*f[7, 101])/8 + 
       (339*f[7, 102])/8 - (35*f[7, 103])/8 + (517*f[7, 104])/16 + 
       (97*f[7, 105])/32 - (439*f[7, 106])/4 + (769*f[7, 107])/8 - 
       (1153*f[7, 108])/32 - (903*f[7, 109])/32 + (599*f[7, 110])/64 + 
       (423*f[7, 111])/32 - (993*f[7, 112])/32 - (333*f[7, 113])/16 - 
       (653*f[7, 114])/32 - (1495*f[7, 115])/64 - (121*f[7, 116])/32 + 
       (8975*f[7, 117])/16 - (485*f[7, 118])/64 - (4993*f[7, 119])/64 - 
       (1255*f[7, 120])/32 + (1013*f[7, 121])/32 - (2447*f[7, 122])/32 - 
       (727*f[7, 123])/32 + (435*f[7, 124])/8 + (1805*f[7, 125])/32 - 
       (141*f[7, 126])/4 + (9*f[7, 136])/4 - (89*f[7, 137])/4 - 
       (321*f[7, 138])/16 + (45*f[7, 146])/2 + (53*f[7, 147])/4 + 
       (625*f[7, 148])/16 + (221*f[7, 149])/4 + (267*f[7, 150])/4)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-2*f[7, 14] - 4*f[7, 31] + 3*f[7, 32] + 8*f[7, 33] + (3*f[7, 37])/2 + 
       (3*f[7, 39])/2 - (3*f[7, 42])/2 + (13*f[7, 43])/2 + 8*f[7, 44] + 
       (11*f[7, 47])/8 + (9*f[7, 48])/8 - (37*f[7, 50])/8 + (27*f[7, 51])/8 - 
       (3*f[7, 53])/8 + (27*f[7, 54])/4 - (11*f[7, 55])/8 + 
       (175*f[7, 56])/32 - (993*f[7, 57])/64 - 31*f[7, 58] + 
       (69*f[7, 59])/4 + (29*f[7, 60])/128 + (107*f[7, 61])/64 + 
       (369*f[7, 62])/32 + (369*f[7, 63])/32 - (369*f[7, 64])/32 + 
       (5007*f[7, 65])/64 - (2645*f[7, 66])/32 - (1469*f[7, 67])/64 - 
       (2615*f[7, 68])/16 - (2621*f[7, 69])/16 + (2633*f[7, 70])/64 - 
       (2633*f[7, 71])/64 + (1309*f[7, 72])/8 - (1309*f[7, 73])/8 - 
       (625*f[7, 74])/4 + (901*f[7, 75])/128 + (29237*f[7, 76])/128 - 
       (21383*f[7, 77])/128 + (2621*f[7, 78])/32 - (10499*f[7, 79])/128 - 
       (1363*f[7, 80])/128 - (2615*f[7, 81])/32 + (1097*f[7, 82])/2 + 
       (1407*f[7, 83])/4 + (9823*f[7, 84])/128 - (821*f[7, 85])/4 - 
       (67637*f[7, 86])/128 - (30765*f[7, 87])/128 + (9431*f[7, 88])/128 - 
       (1443*f[7, 89])/32 - (961*f[7, 90])/32 + (3943*f[7, 91])/32 - 
       (30305*f[7, 92])/128 - (11675*f[7, 93])/64 + (285*f[7, 94])/128 - 
       (47231*f[7, 95])/128 + (4595*f[7, 96])/64 + (10029*f[7, 97])/64 + 
       (10029*f[7, 98])/64 - (18457*f[7, 99])/128 - (38669*f[7, 100])/32 - 
       (2117*f[7, 101])/16 - (21287*f[7, 102])/128 - (1841*f[7, 103])/64 - 
       (5283*f[7, 104])/64 - (6679*f[7, 105])/128 + (10377*f[7, 106])/16 - 
       (2767*f[7, 107])/4 + (11251*f[7, 108])/64 + (7239*f[7, 109])/64 - 
       (3233*f[7, 110])/64 - (663*f[7, 111])/4 + (8393*f[7, 112])/32 + 
       (9517*f[7, 113])/128 + (11519*f[7, 114])/128 + (463*f[7, 115])/8 + 
       (9119*f[7, 116])/128 - (118247*f[7, 117])/32 - (473*f[7, 118])/16 + 
       (62867*f[7, 119])/128 + (15533*f[7, 120])/64 - (11193*f[7, 121])/64 + 
       (28915*f[7, 122])/64 + (9495*f[7, 123])/64 - (1291*f[7, 124])/4 - 
       (4363*f[7, 125])/16 + (30765*f[7, 126])/128 - (217*f[7, 136])/8 + 
       (2845*f[7, 137])/16 + (5277*f[7, 138])/32 - 14*f[7, 146] + 
       (225*f[7, 147])/16 - (9905*f[7, 148])/64 - (25707*f[7, 149])/64 - 
       (13943*f[7, 150])/64)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + (2*f[7, 14] - 4*f[7, 32] - 8*f[7, 33] - 
       3*f[7, 37] - 6*f[7, 39] - (7*f[7, 41])/2 + (5*f[7, 42])/2 - 
       10*f[7, 43] - 16*f[7, 44] - (9*f[7, 47])/2 - (19*f[7, 48])/4 - 
       f[7, 49] + 4*f[7, 50] - (9*f[7, 51])/2 - 9*f[7, 54] - 
       (81*f[7, 56])/8 + (527*f[7, 57])/16 + (125*f[7, 58])/2 - 
       (767*f[7, 59])/24 - (107*f[7, 60])/32 + (75*f[7, 61])/16 - 
       (1285*f[7, 62])/48 - (1285*f[7, 63])/48 + (1285*f[7, 64])/48 - 
       (1893*f[7, 65])/16 + (1045*f[7, 66])/8 + (473*f[7, 67])/16 + 
       (1045*f[7, 68])/4 + (1045*f[7, 69])/4 - (1045*f[7, 70])/16 + 
       (1045*f[7, 71])/16 - (1049*f[7, 72])/4 + (1045*f[7, 73])/4 + 
       (1007*f[7, 74])/4 - (1147*f[7, 75])/48 - (11477*f[7, 76])/32 + 
       (8557*f[7, 77])/32 - (1045*f[7, 78])/8 + (6349*f[7, 79])/48 + 
       (28*f[7, 80])/3 + (1289*f[7, 81])/8 - (20771*f[7, 82])/24 - 
       541*f[7, 83] - (5995*f[7, 84])/48 + (30737*f[7, 85])/96 + 
       (39475*f[7, 86])/48 + (17839*f[7, 87])/48 - (5687*f[7, 88])/48 + 
       (3523*f[7, 89])/48 + (4091*f[7, 90])/96 - (7609*f[7, 91])/24 + 
       (6117*f[7, 92])/16 + (27011*f[7, 93])/96 - (761*f[7, 94])/16 + 
       (9411*f[7, 95])/16 - (1973*f[7, 96])/16 - (11233*f[7, 97])/48 - 
       (11233*f[7, 98])/48 + (677*f[7, 99])/3 + (47215*f[7, 100])/24 + 
       (649*f[7, 101])/3 + (14431*f[7, 102])/48 + (221*f[7, 103])/6 + 
       (8003*f[7, 104])/48 + (3397*f[7, 105])/48 - (25249*f[7, 106])/24 + 
       (13519*f[7, 107])/12 - (13735*f[7, 108])/48 - (2867*f[7, 109])/16 + 
       (2515*f[7, 110])/32 + (12013*f[7, 111])/48 - (6641*f[7, 112])/16 - 
       (7093*f[7, 113])/48 - (7019*f[7, 114])/48 - (10345*f[7, 115])/96 - 
       (5383*f[7, 116])/48 + (143857*f[7, 117])/24 + (2227*f[7, 118])/96 - 
       (76391*f[7, 119])/96 - (1507*f[7, 120])/4 + (4687*f[7, 121])/16 - 
       (35777*f[7, 122])/48 - (3793*f[7, 123])/16 + (2115*f[7, 124])/4 + 
       (22151*f[7, 125])/48 - (9437*f[7, 126])/24 + (69*f[7, 136])/2 - 
       (1881*f[7, 137])/8 - (6875*f[7, 138])/32 + 69*f[7, 146] - f[7, 147] + 
       (647*f[7, 148])/2 + (24439*f[7, 149])/32 + (23453*f[7, 150])/48)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (3*f[7, 23] + f[7, 24] - f[7, 34]/4 - 3*f[7, 41] - 5*f[7, 42] + 
       f[7, 43] + f[7, 44] + f[7, 45]/2 + f[7, 46]/2 + (11*f[7, 48])/8 + 
       (7*f[7, 49])/8 - f[7, 50]/2 + (5*f[7, 51])/8 + f[7, 52]/4 - 
       f[7, 53]/4 + (9*f[7, 54])/8 - (3*f[7, 55])/4 + f[7, 56]/32 + 
       (459*f[7, 57])/64 - 2*f[7, 58] - (181*f[7, 59])/48 - 
       (31*f[7, 60])/128 + (63*f[7, 61])/64 - (25*f[7, 62])/192 - 
       (25*f[7, 63])/192 + (25*f[7, 64])/192 - (145*f[7, 65])/64 + 
       (145*f[7, 66])/32 + (265*f[7, 67])/64 + (153*f[7, 68])/16 + 
       (153*f[7, 69])/16 - (145*f[7, 70])/64 + (145*f[7, 71])/64 - 
       (149*f[7, 72])/16 + (155*f[7, 73])/16 + (157*f[7, 74])/16 + 
       (439*f[7, 75])/96 - (1541*f[7, 76])/128 + (1345*f[7, 77])/128 - 
       (153*f[7, 78])/32 + (317*f[7, 79])/96 + (4*f[7, 80])/3 - 
       (167*f[7, 81])/8 - (3443*f[7, 82])/96 - (205*f[7, 83])/16 - 
       (125*f[7, 84])/24 + (5603*f[7, 85])/384 + (1603*f[7, 86])/48 + 
       (817*f[7, 87])/48 - (101*f[7, 88])/48 - (89*f[7, 89])/192 + 
       (1625*f[7, 90])/384 + (155*f[7, 91])/96 + (981*f[7, 92])/64 + 
       (4565*f[7, 93])/384 + (175*f[7, 94])/32 + (169*f[7, 95])/8 + 
       (27*f[7, 96])/64 - (1513*f[7, 97])/192 - (1609*f[7, 98])/192 + 
       (1913*f[7, 99])/192 + (5863*f[7, 100])/96 + (677*f[7, 101])/96 + 
       (133*f[7, 102])/192 + (449*f[7, 103])/96 - (95*f[7, 104])/24 + 
       (797*f[7, 105])/96 - (613*f[7, 106])/24 + (1687*f[7, 107])/48 + 
       (323*f[7, 108])/192 + (403*f[7, 109])/64 + (461*f[7, 110])/128 + 
       (2845*f[7, 111])/192 - (1129*f[7, 112])/64 + (431*f[7, 113])/192 - 
       (67*f[7, 114])/96 + (1601*f[7, 115])/384 - (959*f[7, 116])/96 + 
       (16045*f[7, 117])/96 + (3883*f[7, 118])/384 - (7451*f[7, 119])/384 - 
       (861*f[7, 120])/64 + (87*f[7, 121])/64 - (2795*f[7, 122])/192 - 
       (113*f[7, 123])/64 + (39*f[7, 124])/8 - (649*f[7, 125])/192 - 
       (2521*f[7, 126])/192 - (3*f[7, 133])/4 + f[7, 134] + f[7, 135]/8 - 
       (83*f[7, 136])/8 - (1649*f[7, 137])/16 - (5569*f[7, 138])/64 + 
       5*f[7, 145] + 17*f[7, 146] + (317*f[7, 147])/16 - (157*f[7, 148])/2 - 
       (13835*f[7, 149])/64 - (2441*f[7, 150])/48)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + ((-3*f[7, 14])/2 - (3*f[7, 49])/16 + 
       (3*f[7, 50])/8 - (3*f[7, 51])/8 - (3*f[7, 54])/4 - (3*f[7, 56])/32 - 
       (15*f[7, 57])/64 + (21*f[7, 58])/8 - (87*f[7, 59])/32 - 
       (21*f[7, 60])/128 + (69*f[7, 61])/64 - (111*f[7, 62])/128 - 
       (111*f[7, 63])/128 + (111*f[7, 64])/128 + (117*f[7, 65])/64 - 
       (69*f[7, 66])/32 - (165*f[7, 67])/64 - (69*f[7, 68])/16 - 
       (69*f[7, 69])/16 + (69*f[7, 70])/64 - (69*f[7, 71])/64 + 
       (33*f[7, 72])/8 - (69*f[7, 73])/16 - (33*f[7, 74])/8 - 
       (183*f[7, 75])/64 + (1053*f[7, 76])/128 - (573*f[7, 77])/128 + 
       (69*f[7, 78])/32 - (117*f[7, 79])/64 - (153*f[7, 80])/64 + 
       (483*f[7, 81])/32 + (615*f[7, 82])/32 + (171*f[7, 83])/16 + 
       (99*f[7, 84])/64 - (1035*f[7, 85])/128 - (1215*f[7, 86])/64 - 
       (591*f[7, 87])/64 + (99*f[7, 88])/64 - (21*f[7, 89])/128 - 
       (165*f[7, 90])/128 - (321*f[7, 91])/16 - (111*f[7, 92])/16 - 
       (945*f[7, 93])/128 - (291*f[7, 94])/32 - (651*f[7, 95])/64 - 
       (9*f[7, 96])/16 + (45*f[7, 97])/8 + (45*f[7, 98])/8 - 
       (735*f[7, 99])/128 - (795*f[7, 100])/32 - (339*f[7, 101])/128 + 
       (681*f[7, 102])/128 - (165*f[7, 103])/64 + (873*f[7, 104])/128 - 
       (141*f[7, 105])/32 + (183*f[7, 106])/16 - (477*f[7, 107])/32 + 
       (315*f[7, 108])/128 + (135*f[7, 109])/128 - (63*f[7, 110])/32 - 
       (1107*f[7, 111])/128 + (1107*f[7, 112])/128 - (633*f[7, 113])/128 + 
       (21*f[7, 114])/16 - (591*f[7, 115])/128 + (105*f[7, 116])/32 - 
       (1257*f[7, 117])/16 - (315*f[7, 118])/64 + (1161*f[7, 119])/128 + 
       (915*f[7, 120])/128 - (117*f[7, 121])/128 + (705*f[7, 122])/128 + 
       (561*f[7, 123])/128 - (339*f[7, 124])/64 + (45*f[7, 125])/128 + 
       (597*f[7, 126])/128 - (9*f[7, 136])/8 + (123*f[7, 137])/16 + 
       (495*f[7, 138])/64 + (15*f[7, 146])/2 + (33*f[7, 147])/8 + 
       (81*f[7, 148])/32 - (171*f[7, 149])/64 + (465*f[7, 150])/32)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((3*f[7, 37])/2 + (3*f[7, 47])/8 - (3*f[7, 50])/2 + (3*f[7, 52])/4 - 
       (3*f[7, 53])/2 - (3*f[7, 55])/2 - (21*f[7, 56])/32 - (9*f[7, 57])/64 + 
       12*f[7, 58] - (19*f[7, 59])/16 - (75*f[7, 60])/128 + (3*f[7, 61])/64 - 
       (109*f[7, 62])/16 - (109*f[7, 63])/16 + (109*f[7, 64])/16 - 
       (477*f[7, 65])/64 + (345*f[7, 66])/32 + (9*f[7, 67])/64 + 
       (429*f[7, 68])/16 + (417*f[7, 69])/16 - (417*f[7, 70])/64 + 
       (417*f[7, 71])/64 - (429*f[7, 72])/16 + (417*f[7, 73])/16 + 
       (429*f[7, 74])/16 - (193*f[7, 75])/64 - (4821*f[7, 76])/128 + 
       (3405*f[7, 77])/128 - (417*f[7, 78])/32 + (715*f[7, 79])/64 - 
       (365*f[7, 80])/64 + (81*f[7, 81])/16 - (2543*f[7, 82])/32 - 
       (573*f[7, 83])/16 - (661*f[7, 84])/64 + (3659*f[7, 85])/128 + 
       (5419*f[7, 86])/64 + (2455*f[7, 87])/64 - (689*f[7, 88])/64 + 
       (281*f[7, 89])/32 - (391*f[7, 90])/128 - (3253*f[7, 91])/32 + 
       (597*f[7, 92])/16 + (3185*f[7, 93])/128 - (1515*f[7, 94])/64 + 
       (3801*f[7, 95])/64 - (999*f[7, 96])/64 - (625*f[7, 97])/64 - 
       (625*f[7, 98])/64 + (1415*f[7, 99])/64 + (7225*f[7, 100])/32 + 
       (1621*f[7, 101])/64 + (2923*f[7, 102])/64 - (133*f[7, 103])/32 + 
       (1991*f[7, 104])/64 - (275*f[7, 105])/64 - (1613*f[7, 106])/16 + 
       (1025*f[7, 107])/8 - (293*f[7, 108])/8 - (573*f[7, 109])/32 + 
       (165*f[7, 110])/128 + (527*f[7, 111])/32 - (285*f[7, 112])/8 - 
       (2113*f[7, 113])/64 - (1265*f[7, 114])/64 - (1699*f[7, 115])/128 - 
       (433*f[7, 116])/64 + (20605*f[7, 117])/32 - (1403*f[7, 118])/128 - 
       (11405*f[7, 119])/128 - (267*f[7, 120])/8 + (1035*f[7, 121])/32 - 
       (1211*f[7, 122])/16 - (171*f[7, 123])/8 + (1719*f[7, 124])/32 + 
       (451*f[7, 125])/8 - (2401*f[7, 126])/64 + (9*f[7, 136])/2 - 
       (117*f[7, 137])/8 - (519*f[7, 138])/32 - 3*f[7, 145] + 15*f[7, 146] + 
       (27*f[7, 147])/4 + (921*f[7, 148])/16 + (789*f[7, 149])/8 + 
       (1169*f[7, 150])/16)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v] + ((-3*f[7, 47])/4 + 3*f[7, 50] - 
       (3*f[7, 52])/2 + 3*f[7, 53] + 3*f[7, 55] - (15*f[7, 56])/16 + 
       (117*f[7, 57])/32 + (7*f[7, 59])/8 + (15*f[7, 60])/64 - 
       (135*f[7, 61])/32 + (13*f[7, 62])/8 + (13*f[7, 63])/8 - 
       (13*f[7, 64])/8 - (279*f[7, 65])/32 + (75*f[7, 66])/16 + 
       (27*f[7, 67])/32 - (9*f[7, 68])/8 + (3*f[7, 69])/8 - (3*f[7, 70])/32 + 
       (3*f[7, 71])/32 + (9*f[7, 72])/8 + (3*f[7, 73])/8 - (9*f[7, 74])/8 - 
       (59*f[7, 75])/32 + (321*f[7, 76])/64 + (39*f[7, 77])/64 - 
       (3*f[7, 78])/16 + (161*f[7, 79])/32 + (257*f[7, 80])/32 + 
       (363*f[7, 81])/8 - (61*f[7, 82])/16 - (255*f[7, 83])/8 - 
       (119*f[7, 84])/32 + (49*f[7, 85])/64 - (343*f[7, 86])/32 - 
       (163*f[7, 87])/32 - (43*f[7, 88])/32 + (55*f[7, 89])/16 + 
       (715*f[7, 90])/64 + (865*f[7, 91])/16 + (9*f[7, 92])/8 + 
       (19*f[7, 93])/64 + (231*f[7, 94])/32 - (117*f[7, 95])/32 - 
       (117*f[7, 96])/32 - (467*f[7, 97])/32 - (467*f[7, 98])/32 + 
       (13*f[7, 99])/32 - (85*f[7, 100])/16 - (25*f[7, 101])/32 - 
       (31*f[7, 102])/32 + (49*f[7, 103])/16 - (11*f[7, 104])/32 + 
       (335*f[7, 105])/32 - (199*f[7, 106])/8 - (17*f[7, 107])/4 - 
       (5*f[7, 108])/2 - (279*f[7, 109])/16 + (495*f[7, 110])/64 + 
       (49*f[7, 111])/16 - (3*f[7, 112])/4 + (541*f[7, 113])/32 - 
       (115*f[7, 114])/32 - (1049*f[7, 115])/64 + (133*f[7, 116])/32 + 
       (647*f[7, 117])/16 + (383*f[7, 118])/64 - (439*f[7, 119])/64 - 
       (51*f[7, 120])/4 + (21*f[7, 121])/16 - (55*f[7, 122])/8 - 
       (15*f[7, 123])/4 + (81*f[7, 124])/16 + f[7, 125]/2 + 
       (37*f[7, 126])/32 + 3*f[7, 136] - (123*f[7, 137])/4 - 
       (393*f[7, 138])/16 + 6*f[7, 145] - 6*f[7, 146] - 6*f[7, 147] - 
       (453*f[7, 148])/8 - (153*f[7, 149])/2 - (305*f[7, 150])/8)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v] + 
     (-f[7, 1] + f[7, 62] + f[7, 63] - 5*f[7, 64] + 7*f[7, 75] - f[7, 76] - 
       4*f[7, 81] + 3*f[7, 84] + 3*f[7, 88] + f[7, 89] + f[7, 90] + 
       8*f[7, 91] + 2*f[7, 94] - 8*f[7, 95] + f[7, 96] + 2*f[7, 97] + 
       2*f[7, 98] + f[7, 99] + 8*f[7, 100] + f[7, 101] - 4*f[7, 102] - 
       2*f[7, 103] - 4*f[7, 104] + 16*f[7, 106] + 4*f[7, 107] - f[7, 110] - 
       f[7, 111] + 7*f[7, 112] + 3*f[7, 113] + f[7, 114] + 2*f[7, 115] + 
       5*f[7, 116] - 4*f[7, 119] - f[7, 120] - 5*f[7, 121] + 19*f[7, 122] + 
       7*f[7, 123] - 11*f[7, 124] - 10*f[7, 125] + 11*f[7, 126] - f[7, 138] - 
       32*f[7, 150])*HPL[{0, 0, 0, 0, 0, 1}, 1 - u] + 
     (4*f[7, 23] - 4*f[7, 49] + 12*f[7, 54] - 7*f[7, 56] - (11*f[7, 57])/2 + 
       56*f[7, 58] - 14*f[7, 59] - (41*f[7, 60])/4 + (9*f[7, 61])/2 - 
       18*f[7, 62] - 19*f[7, 63] + 19*f[7, 64] - (15*f[7, 65])/2 + 
       23*f[7, 66] - (25*f[7, 67])/2 + 46*f[7, 68] + 46*f[7, 69] - 
       (23*f[7, 70])/2 + (23*f[7, 71])/2 - 50*f[7, 72] + 46*f[7, 73] + 
       46*f[7, 74] - (17*f[7, 75])/2 - (291*f[7, 76])/4 + (215*f[7, 77])/4 - 
       23*f[7, 78] + (51*f[7, 79])/2 - (41*f[7, 80])/2 + 82*f[7, 81] - 
       117*f[7, 82] - 42*f[7, 83] - (19*f[7, 84])/2 + (137*f[7, 85])/4 + 
       (303*f[7, 86])/2 + (135*f[7, 87])/2 - (47*f[7, 88])/2 + 26*f[7, 89] - 
       (45*f[7, 90])/4 - 371*f[7, 91] + 74*f[7, 92] + (83*f[7, 93])/4 - 
       (211*f[7, 94])/2 + (193*f[7, 95])/2 - (87*f[7, 96])/2 + 
       (41*f[7, 97])/2 + (41*f[7, 98])/2 + (69*f[7, 99])/2 + 531*f[7, 100] + 
       (129*f[7, 101])/2 + (305*f[7, 102])/2 - 33*f[7, 103] + 
       (249*f[7, 104])/2 - (57*f[7, 105])/2 - 230*f[7, 106] + 304*f[7, 107] - 
       102*f[7, 108] - 51*f[7, 109] + (3*f[7, 110])/4 - 36*f[7, 112] - 
       (209*f[7, 113])/2 - (103*f[7, 114])/2 - (209*f[7, 115])/4 + 
       (17*f[7, 116])/2 + 1395*f[7, 117] - (189*f[7, 118])/4 - 
       (823*f[7, 119])/4 - 72*f[7, 120] + 56*f[7, 121] - 131*f[7, 122] - 
       34*f[7, 123] + 94*f[7, 124] + 124*f[7, 125] - (99*f[7, 126])/2 + 
       80*f[7, 136] - 380*f[7, 137] - 372*f[7, 138] - 64*f[7, 146] + 
       12*f[7, 147] - 288*f[7, 148] - 746*f[7, 149] - 476*f[7, 150])*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - u] + (2*f[7, 23] - 2*f[7, 49] + 
       6*f[7, 54] - (3*f[7, 56])/2 + (5*f[7, 57])/4 + 28*f[7, 58] - 
       (13*f[7, 59])/3 - (9*f[7, 60])/8 - (7*f[7, 61])/4 - (34*f[7, 62])/3 - 
       (34*f[7, 63])/3 + (34*f[7, 64])/3 - (111*f[7, 65])/4 + 
       (71*f[7, 66])/2 + (23*f[7, 67])/4 + 71*f[7, 68] + 71*f[7, 69] - 
       (71*f[7, 70])/4 + (71*f[7, 71])/4 - 73*f[7, 72] + 71*f[7, 73] + 
       71*f[7, 74] - (31*f[7, 75])/12 - (819*f[7, 76])/8 + (599*f[7, 77])/8 - 
       (71*f[7, 78])/2 + (433*f[7, 79])/12 - (11*f[7, 80])/12 + 29*f[7, 81] - 
       (1391*f[7, 82])/6 - 133*f[7, 83] - (337*f[7, 84])/12 + 
       (2027*f[7, 85])/24 + (2803*f[7, 86])/12 + (1273*f[7, 87])/12 - 
       (389*f[7, 88])/12 + (70*f[7, 89])/3 + (149*f[7, 90])/24 - 
       (1009*f[7, 91])/6 + 107*f[7, 92] + (1721*f[7, 93])/24 - 
       (143*f[7, 94])/4 + (633*f[7, 95])/4 - (161*f[7, 96])/4 - 
       (541*f[7, 97])/12 - (541*f[7, 98])/12 + (755*f[7, 99])/12 + 
       (3529*f[7, 100])/6 + (799*f[7, 101])/12 + (1201*f[7, 102])/12 - 
       (7*f[7, 103])/6 + (761*f[7, 104])/12 + (85*f[7, 105])/12 - 
       (869*f[7, 106])/3 + (1012*f[7, 107])/3 - (280*f[7, 108])/3 - 
       53*f[7, 109] + (139*f[7, 110])/8 + (181*f[7, 111])/3 - 101*f[7, 112] - 
       (649*f[7, 113])/12 - (587*f[7, 114])/12 - (787*f[7, 115])/24 - 
       (253*f[7, 116])/12 + (10321*f[7, 117])/6 - (119*f[7, 118])/24 - 
       (5621*f[7, 119])/24 - 108*f[7, 120] + (145*f[7, 121])/2 - 
       (1129*f[7, 122])/6 - (123*f[7, 123])/2 + 136*f[7, 124] + 
       (374*f[7, 125])/3 - (1135*f[7, 126])/12 + 40*f[7, 136] - 
       206*f[7, 137] - 196*f[7, 138] - 32*f[7, 146] - 6*f[7, 147] - 
       68*f[7, 148] - 161*f[7, 149] - (403*f[7, 150])/3)*
      HPL[{0, 0, 0, 1, 0, 1}, 1 - u] + (9*f[7, 9] + 54*f[7, 39] + 
       48*f[7, 41] - 6*f[7, 43] + 48*f[7, 44] + (93*f[7, 47])/2 + 
       (33*f[7, 48])/2 - (57*f[7, 49])/2 - (33*f[7, 51])/2 - 3*f[7, 54] + 
       25*f[7, 56] - (341*f[7, 57])/2 - 62*f[7, 58] + (193*f[7, 59])/3 + 
       (99*f[7, 60])/4 + (71*f[7, 61])/2 + (875*f[7, 62])/24 + 
       (875*f[7, 63])/24 - (875*f[7, 64])/24 + (15*f[7, 65])/2 - 9*f[7, 66] + 
       (65*f[7, 67])/2 - 18*f[7, 68] - 18*f[7, 69] + (9*f[7, 70])/2 - 
       (9*f[7, 71])/2 - (21*f[7, 72])/2 - 18*f[7, 73] - 12*f[7, 74] + 
       (253*f[7, 75])/12 - (11*f[7, 76])/2 - (75*f[7, 77])/4 + 9*f[7, 78] - 
       (89*f[7, 79])/6 + (443*f[7, 80])/12 - 365*f[7, 81] - (62*f[7, 82])/3 + 
       f[7, 83] + (329*f[7, 84])/6 + (287*f[7, 85])/12 + (1301*f[7, 86])/12 + 
       (122*f[7, 87])/3 - (167*f[7, 88])/6 - (83*f[7, 89])/24 - 
       (67*f[7, 90])/3 + (919*f[7, 91])/6 - (73*f[7, 92])/4 + 
       (323*f[7, 93])/12 + (1445*f[7, 94])/8 + (181*f[7, 95])/4 - 
       (157*f[7, 96])/4 + (211*f[7, 97])/12 + (211*f[7, 98])/12 - 
       (319*f[7, 99])/24 - (380*f[7, 100])/3 - (335*f[7, 101])/24 - 
       (983*f[7, 102])/6 - (61*f[7, 103])/12 - (859*f[7, 104])/6 - 
       (769*f[7, 105])/12 + (805*f[7, 106])/6 - (443*f[7, 107])/6 - 
       (1645*f[7, 108])/24 - (209*f[7, 109])/8 - (101*f[7, 110])/8 + 
       (931*f[7, 111])/24 + (61*f[7, 112])/8 + (719*f[7, 113])/6 + 
       (13*f[7, 114])/6 + (1793*f[7, 115])/12 + (13*f[7, 116])/3 - 
       (2143*f[7, 117])/6 - (217*f[7, 118])/6 + (589*f[7, 119])/12 + 
       (569*f[7, 120])/8 - (477*f[7, 121])/8 + (3163*f[7, 122])/24 - 
       (681*f[7, 123])/8 + (51*f[7, 124])/2 - (619*f[7, 125])/24 + 
       (1673*f[7, 126])/24 + (51*f[7, 136])/2 - (437*f[7, 137])/2 - 
       (1665*f[7, 138])/8 - 232*f[7, 146] - 89*f[7, 147] - 361*f[7, 148] - 
       (5241*f[7, 149])/8 - (7709*f[7, 150])/12)*HPL[{0, 0, 0, 1, 1, 1}, 
       1 - u] + (4*f[7, 9] + 26*f[7, 39] + 24*f[7, 41] - 2*f[7, 43] + 
       24*f[7, 44] + (43*f[7, 47])/2 + (15*f[7, 48])/2 - (23*f[7, 49])/2 - 
       (11*f[7, 51])/2 - 2*f[7, 54] + 7*f[7, 56] - (329*f[7, 57])/4 - 
       22*f[7, 58] + (110*f[7, 59])/3 + (57*f[7, 60])/8 + (23*f[7, 61])/4 + 
       (235*f[7, 62])/24 + (235*f[7, 63])/24 - (235*f[7, 64])/24 + 
       (15*f[7, 65])/4 - (11*f[7, 66])/2 + (41*f[7, 67])/4 - 11*f[7, 68] - 
       11*f[7, 69] + (11*f[7, 70])/4 - (11*f[7, 71])/4 - f[7, 72]/2 - 
       11*f[7, 73] - 9*f[7, 74] + (29*f[7, 75])/3 - (19*f[7, 76])/8 - 
       (95*f[7, 77])/8 + (11*f[7, 78])/2 - (89*f[7, 79])/12 + 
       (37*f[7, 80])/3 - 143*f[7, 81] + (61*f[7, 82])/6 + 8*f[7, 83] + 
       (83*f[7, 84])/3 + (41*f[7, 85])/24 + (463*f[7, 86])/12 + 
       (83*f[7, 87])/6 - (26*f[7, 88])/3 + (83*f[7, 89])/24 - 
       (409*f[7, 90])/24 + (46*f[7, 91])/3 - (57*f[7, 92])/4 + 
       (95*f[7, 93])/24 + (505*f[7, 94])/8 + (35*f[7, 95])/4 - 
       (49*f[7, 96])/2 + (59*f[7, 97])/3 + (59*f[7, 98])/3 - 
       (173*f[7, 99])/24 - (227*f[7, 100])/6 - (91*f[7, 101])/24 - 
       (665*f[7, 102])/12 - (161*f[7, 103])/12 - (553*f[7, 104])/12 - 
       (479*f[7, 105])/12 + (335*f[7, 106])/6 - (157*f[7, 107])/6 - 
       (1115*f[7, 108])/24 - (235*f[7, 109])/8 - (23*f[7, 110])/2 + 
       (53*f[7, 111])/24 + (173*f[7, 112])/8 + (443*f[7, 113])/12 - 
       (79*f[7, 114])/6 + (1211*f[7, 115])/24 + (215*f[7, 116])/12 - 
       (346*f[7, 117])/3 - (845*f[7, 118])/24 + (205*f[7, 119])/24 + 
       (247*f[7, 120])/8 - (217*f[7, 121])/8 + (1613*f[7, 122])/24 - 
       (265*f[7, 123])/8 + 6*f[7, 124] - (89*f[7, 125])/24 + 
       (1063*f[7, 126])/24 + (33*f[7, 136])/2 - (217*f[7, 137])/2 - 
       (885*f[7, 138])/8 - 96*f[7, 146] - 35*f[7, 147] - 176*f[7, 148] - 
       (2681*f[7, 149])/8 - (3559*f[7, 150])/12)*HPL[{0, 0, 1, 0, 1, 1}, 
       1 - u] + (f[7, 9] + 8*f[7, 39] + 8*f[7, 41] + 8*f[7, 44] + 
       7*f[7, 47] + 2*f[7, 48] - 2*f[7, 49] - 2*f[7, 51] - f[7, 54] - 
       f[7, 56]/4 - (215*f[7, 57])/8 - 18*f[7, 58] + (29*f[7, 59])/2 + 
       (11*f[7, 60])/16 - (43*f[7, 61])/8 + (51*f[7, 62])/8 + 
       (51*f[7, 63])/8 - (51*f[7, 64])/8 + (45*f[7, 65])/8 - 
       (45*f[7, 66])/4 + (27*f[7, 67])/8 - (45*f[7, 68])/2 - 
       (45*f[7, 69])/2 + (45*f[7, 70])/8 - (45*f[7, 71])/8 + 
       (41*f[7, 72])/2 - (45*f[7, 73])/2 - (45*f[7, 74])/2 + 
       (65*f[7, 75])/8 + (377*f[7, 76])/16 - (405*f[7, 77])/16 + 
       (45*f[7, 78])/4 - (97*f[7, 79])/8 + (53*f[7, 80])/8 - 
       (105*f[7, 81])/2 + (251*f[7, 82])/4 + (57*f[7, 83])/2 + 
       (133*f[7, 84])/8 - (323*f[7, 85])/16 - (377*f[7, 86])/8 - 
       (169*f[7, 87])/8 + (57*f[7, 88])/8 - (43*f[7, 89])/8 - 
       (117*f[7, 90])/16 + (339*f[7, 91])/4 - (141*f[7, 92])/4 - 
       (233*f[7, 93])/16 + (295*f[7, 94])/8 - (341*f[7, 95])/8 + 
       (51*f[7, 96])/8 + (79*f[7, 97])/8 + (79*f[7, 98])/8 - 
       (63*f[7, 99])/4 - (757*f[7, 100])/4 - (89*f[7, 101])/4 - 
       53*f[7, 102] - f[7, 103]/2 - 40*f[7, 104] - (83*f[7, 105])/8 + 
       95*f[7, 106] - (223*f[7, 107])/2 + (87*f[7, 108])/8 + 
       (25*f[7, 109])/8 - (123*f[7, 110])/16 - (97*f[7, 111])/8 + 
       (279*f[7, 112])/8 + (131*f[7, 113])/4 + (59*f[7, 114])/8 + 
       (407*f[7, 115])/16 + (101*f[7, 116])/8 - (2083*f[7, 117])/4 - 
       (67*f[7, 118])/16 + (1109*f[7, 119])/16 + (271*f[7, 120])/8 - 
       (265*f[7, 121])/8 + (645*f[7, 122])/8 + (67*f[7, 123])/8 - 
       42*f[7, 124] - (359*f[7, 125])/8 + (87*f[7, 126])/2 + 
       (3*f[7, 137])/2 - (29*f[7, 138])/8 - 36*f[7, 146] - 18*f[7, 147] - 
       69*f[7, 148] - (879*f[7, 149])/8 - (439*f[7, 150])/4)*
      HPL[{0, 0, 1, 1, 0, 1}, 1 - u] + (8*f[7, 32] + 32*f[7, 33] + 
       12*f[7, 37] + 36*f[7, 39] + 28*f[7, 41] + 28*f[7, 43] + 64*f[7, 44] + 
       25*f[7, 47] + 17*f[7, 48] + 6*f[7, 49] - 6*f[7, 50] + 11*f[7, 51] + 
       22*f[7, 54] + (69*f[7, 56])/2 - (621*f[7, 57])/4 - 316*f[7, 58] + 
       (823*f[7, 59])/6 + (145*f[7, 60])/8 - (169*f[7, 61])/4 + 
       (1541*f[7, 62])/12 + (1541*f[7, 63])/12 - (1541*f[7, 64])/12 + 
       (1503*f[7, 65])/4 - (871*f[7, 66])/2 - (203*f[7, 67])/4 - 
       871*f[7, 68] - 871*f[7, 69] + (871*f[7, 70])/4 - (871*f[7, 71])/4 + 
       877*f[7, 72] - 871*f[7, 73] - 852*f[7, 74] + (1529*f[7, 75])/12 + 
       (9383*f[7, 76])/8 - (7207*f[7, 77])/8 + (871*f[7, 78])/2 - 
       (5375*f[7, 79])/12 + (149*f[7, 80])/6 - (1661*f[7, 81])/2 + 
       (16693*f[7, 82])/6 + 1706*f[7, 83] + (5117*f[7, 84])/12 - 
       (24139*f[7, 85])/24 - (31565*f[7, 86])/12 - (14141*f[7, 87])/12 + 
       (4681*f[7, 88])/12 - (3203*f[7, 89])/12 - (3697*f[7, 90])/24 + 
       (9611*f[7, 91])/6 - (5113*f[7, 92])/4 - (20809*f[7, 93])/24 + 
       (1589*f[7, 94])/4 - (7717*f[7, 95])/4 + (1843*f[7, 96])/4 + 
       (8231*f[7, 97])/12 + (8231*f[7, 98])/12 - (4373*f[7, 99])/6 - 
       (41093*f[7, 100])/6 - (4573*f[7, 101])/6 - (14777*f[7, 102])/12 - 
       (179*f[7, 103])/3 - (9253*f[7, 104])/12 - (2147*f[7, 105])/12 + 
       (21701*f[7, 106])/6 - (11759*f[7, 107])/3 + (12035*f[7, 108])/12 + 
       (2563*f[7, 109])/4 - (1949*f[7, 110])/8 - (8765*f[7, 111])/12 + 
       (5305*f[7, 112])/4 + (7805*f[7, 113])/12 + (6337*f[7, 114])/12 + 
       (11795*f[7, 115])/24 + (3965*f[7, 116])/12 - (123011*f[7, 117])/6 + 
       (235*f[7, 118])/24 + (66253*f[7, 119])/24 + 1274*f[7, 120] - 
       (4195*f[7, 121])/4 + (31213*f[7, 122])/12 + (3065*f[7, 123])/4 - 
       1811*f[7, 124] - (20251*f[7, 125])/12 + (4007*f[7, 126])/3 - 
       93*f[7, 136] + (1227*f[7, 137])/2 + (4509*f[7, 138])/8 - 
       468*f[7, 146] - 124*f[7, 147] - (2797*f[7, 148])/2 - 
       (23741*f[7, 149])/8 - (27133*f[7, 150])/12)*HPL[{0, 0, 1, 1, 1, 1}, 
       1 - u] + (-2*f[7, 14] + 4*f[7, 32] + 8*f[7, 33] + 6*f[7, 37] + 
       6*f[7, 39] + (7*f[7, 41])/2 - (5*f[7, 42])/2 + 10*f[7, 43] + 
       16*f[7, 44] + (9*f[7, 47])/2 + (19*f[7, 48])/4 + f[7, 49] - 
       4*f[7, 50] + (9*f[7, 51])/2 + 9*f[7, 54] + (57*f[7, 56])/8 - 
       (533*f[7, 57])/16 - (137*f[7, 58])/2 + (923*f[7, 59])/24 + 
       (65*f[7, 60])/32 - (225*f[7, 61])/16 + (1219*f[7, 62])/48 + 
       (1219*f[7, 63])/48 - (1219*f[7, 64])/48 + (1623*f[7, 65])/16 - 
       (919*f[7, 66])/8 - (299*f[7, 67])/16 - (919*f[7, 68])/4 - 
       (919*f[7, 69])/4 + (919*f[7, 70])/16 - (919*f[7, 71])/16 + 
       (923*f[7, 72])/4 - (919*f[7, 73])/4 - (881*f[7, 74])/4 + 
       (1549*f[7, 75])/48 + (9959*f[7, 76])/32 - (7567*f[7, 77])/32 + 
       (919*f[7, 78])/8 - (5635*f[7, 79])/48 + (7*f[7, 80])/24 - 
       (1541*f[7, 81])/8 + (17885*f[7, 82])/24 + (923*f[7, 83])/2 + 
       (5353*f[7, 84])/48 - (26123*f[7, 85])/96 - (33973*f[7, 86])/48 - 
       (15217*f[7, 87])/48 + (5141*f[7, 88])/48 - (3205*f[7, 89])/48 - 
       (3905*f[7, 90])/96 + (8227*f[7, 91])/24 - (5385*f[7, 92])/16 - 
       (22721*f[7, 93])/96 + (1067*f[7, 94])/16 - (8265*f[7, 95])/16 + 
       (1883*f[7, 96])/16 + (9331*f[7, 97])/48 + (9331*f[7, 98])/48 - 
       (2315*f[7, 99])/12 - (42325*f[7, 100])/24 - (2341*f[7, 101])/12 - 
       (14095*f[7, 102])/48 - (76*f[7, 103])/3 - (8339*f[7, 104])/48 - 
       (2575*f[7, 105])/48 + (22609*f[7, 106])/24 - (12121*f[7, 107])/12 + 
       (12337*f[7, 108])/48 + (2573*f[7, 109])/16 - (2161*f[7, 110])/32 - 
       (9859*f[7, 111])/48 + (5795*f[7, 112])/16 + (7369*f[7, 113])/48 + 
       (6113*f[7, 114])/48 + (10531*f[7, 115])/96 + (4669*f[7, 116])/48 - 
       (127987*f[7, 117])/24 - (901*f[7, 118])/96 + (68285*f[7, 119])/96 + 
       (2633*f[7, 120])/8 - (4381*f[7, 121])/16 + (32855*f[7, 122])/48 + 
       (3379*f[7, 123])/16 - (1935*f[7, 124])/4 - (21065*f[7, 125])/48 + 
       (8567*f[7, 126])/24 - (39*f[7, 136])/2 + (1203*f[7, 137])/8 + 
       (4373*f[7, 138])/32 - 111*f[7, 146] - (43*f[7, 147])/2 - 
       (2951*f[7, 148])/8 - (26053*f[7, 149])/32 - (28505*f[7, 150])/48)*
      HPL[{0, 1, 0, 1, 1, 1}, 1 - u] + (10*f[7, 31] - 20*f[7, 33] + 
       (11*f[7, 62])/4 + (11*f[7, 63])/4 - (11*f[7, 64])/4 + 11*f[7, 81] - 
       (11*f[7, 89])/4 + 11*f[7, 91] + (11*f[7, 96])/2 - (11*f[7, 97])/2 - 
       (11*f[7, 98])/2 - (11*f[7, 99])/4 - 22*f[7, 100] - (11*f[7, 101])/4 - 
       (11*f[7, 102])/4 + (11*f[7, 103])/2 - (11*f[7, 104])/4 + 
       (11*f[7, 105])/2 + 11*f[7, 106] - 11*f[7, 107] + (33*f[7, 108])/4 + 
       (33*f[7, 109])/4 + (11*f[7, 110])/4 + (11*f[7, 111])/4 - 
       (11*f[7, 112])/4 + (11*f[7, 113])/4 + (11*f[7, 114])/2 + 
       (11*f[7, 115])/2 - (11*f[7, 116])/2 - 55*f[7, 117] + 
       (33*f[7, 118])/4 + 11*f[7, 119] + (11*f[7, 120])/4 - 
       (11*f[7, 121])/4 + (11*f[7, 122])/4 + (11*f[7, 123])/4 - 
       (11*f[7, 124])/2 - (33*f[7, 125])/4 - (11*f[7, 126])/4 - 11*f[7, 150])*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - u] + (-f[7, 52]/2 - f[7, 56]/8 + 
       (3*f[7, 57])/16 + (3*f[7, 58])/2 + f[7, 59]/12 + f[7, 60]/32 - 
       f[7, 61]/16 - (49*f[7, 62])/96 - (49*f[7, 63])/96 + (49*f[7, 64])/96 - 
       (21*f[7, 65])/16 + (11*f[7, 66])/8 - f[7, 67]/16 + (11*f[7, 68])/4 + 
       (11*f[7, 69])/4 - (11*f[7, 70])/16 + (11*f[7, 71])/16 - 
       (11*f[7, 72])/4 + (13*f[7, 73])/4 + (11*f[7, 74])/4 - 
       (5*f[7, 75])/12 - (117*f[7, 76])/32 + (73*f[7, 77])/32 - 
       (11*f[7, 78])/8 + (83*f[7, 79])/48 + f[7, 80]/6 + (9*f[7, 81])/2 - 
       (217*f[7, 82])/24 - (21*f[7, 83])/4 - (65*f[7, 84])/48 + 
       (295*f[7, 85])/96 + (49*f[7, 86])/6 + (11*f[7, 87])/3 - 
       (61*f[7, 88])/48 + (109*f[7, 89])/96 + (67*f[7, 90])/96 - 
       (47*f[7, 91])/6 + (37*f[7, 92])/8 + (229*f[7, 93])/96 - 
       (39*f[7, 94])/16 + (93*f[7, 95])/16 - (7*f[7, 96])/4 - 
       (43*f[7, 97])/24 - (43*f[7, 98])/24 + (221*f[7, 99])/96 + 
       (509*f[7, 100])/24 + (199*f[7, 101])/96 + (469*f[7, 102])/96 - 
       (13*f[7, 103])/48 + (335*f[7, 104])/96 + (2*f[7, 105])/3 - 
       (311*f[7, 106])/24 + (265*f[7, 107])/24 - (391*f[7, 108])/96 - 
       (113*f[7, 109])/32 + (7*f[7, 110])/4 + (199*f[7, 111])/96 - 
       (119*f[7, 112])/32 - (187*f[7, 113])/96 - (59*f[7, 114])/24 - 
       (251*f[7, 115])/96 - (5*f[7, 116])/12 + (395*f[7, 117])/6 - 
       (2*f[7, 118])/3 - (871*f[7, 119])/96 - (147*f[7, 120])/32 + 
       (107*f[7, 121])/32 - (809*f[7, 122])/96 - (79*f[7, 123])/32 + 
       (93*f[7, 124])/16 + (551*f[7, 125])/96 - (373*f[7, 126])/96 + 
       (3*f[7, 136])/4 - (11*f[7, 137])/4 - (39*f[7, 138])/16 + 
       (3*f[7, 146])/2 + f[7, 147]/2 + (53*f[7, 148])/16 + 
       (113*f[7, 149])/16 + (17*f[7, 150])/3)*HPL[{1}, 1 - v]*SP5[34] + 
     ((4*f[7, 33])/3 - f[7, 50]/12 + f[7, 55]/6 - (7*f[7, 62])/48 - 
       (7*f[7, 63])/48 + (7*f[7, 64])/48 - (7*f[7, 81])/12 + 
       (7*f[7, 89])/48 - (5*f[7, 91])/8 - (7*f[7, 96])/24 + (7*f[7, 97])/24 + 
       (7*f[7, 98])/24 + (7*f[7, 99])/48 + (7*f[7, 100])/6 + 
       (7*f[7, 101])/48 + (7*f[7, 102])/48 - (7*f[7, 103])/24 + 
       (7*f[7, 104])/48 - (7*f[7, 105])/24 - (7*f[7, 106])/12 + 
       (7*f[7, 107])/12 - (7*f[7, 108])/16 - (7*f[7, 109])/16 - 
       (7*f[7, 110])/48 - (7*f[7, 111])/48 + (7*f[7, 112])/48 - 
       (7*f[7, 113])/48 - (7*f[7, 114])/24 - (7*f[7, 115])/24 + 
       (7*f[7, 116])/24 + (35*f[7, 117])/12 - (7*f[7, 118])/16 - 
       (7*f[7, 119])/12 - (7*f[7, 120])/48 + (7*f[7, 121])/48 - 
       (7*f[7, 122])/48 - (7*f[7, 123])/48 + (7*f[7, 124])/24 + 
       (7*f[7, 125])/16 + (7*f[7, 126])/48 + (7*f[7, 150])/24)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*SPw2f1[u, v] + 
     (-f[7, 26]/5 - (3*f[7, 27])/10 + f[7, 28]/10 + f[7, 30]/8 - 
       (7*f[7, 31])/10 + f[7, 32]/5 - (2*f[7, 33])/5 - f[7, 35]/5 - 
       f[7, 36]/10 + f[7, 37]/80 - (4*f[7, 38])/5 - f[7, 39]/10 - 
       (3*f[7, 40])/10 + f[7, 41]/20 + f[7, 42]/20 + (3*f[7, 43])/10 + 
       (3*f[7, 44])/5 - (3*f[7, 45])/20 + (7*f[7, 46])/20 - f[7, 47]/20 - 
       (3*f[7, 48])/10 + (83*f[7, 49])/160 - f[7, 50]/8 - (19*f[7, 51])/160 + 
       (3*f[7, 52])/8 - (11*f[7, 53])/80 - (3*f[7, 54])/16 + 
       (11*f[7, 55])/8 + (841*f[7, 56])/640 + (61*f[7, 57])/256 - 
       (231*f[7, 58])/80 - (113*f[7, 59])/480 + (3683*f[7, 60])/2560 + 
       (721*f[7, 61])/256 + (199*f[7, 62])/480 + (199*f[7, 63])/480 - 
       (199*f[7, 64])/480 + (13509*f[7, 65])/1280 - (6433*f[7, 66])/640 - 
       (5233*f[7, 67])/1280 - (6369*f[7, 68])/320 - (6313*f[7, 69])/320 + 
       (5121*f[7, 70])/1280 - (1037*f[7, 71])/256 + (6477*f[7, 72])/320 - 
       (6143*f[7, 73])/320 - (6293*f[7, 74])/320 - (143*f[7, 75])/120 + 
       (14253*f[7, 76])/512 - (37877*f[7, 77])/2560 + (1141*f[7, 78])/128 - 
       (22447*f[7, 79])/1920 - (7237*f[7, 80])/1920 - (943*f[7, 81])/64 + 
       (147331*f[7, 82])/1920 + (3551*f[7, 83])/64 + (9149*f[7, 84])/960 - 
       (211171*f[7, 85])/7680 - (128497*f[7, 86])/1920 - 
       (61057*f[7, 87])/1920 + (26*f[7, 88])/3 - (9463*f[7, 89])/1920 - 
       (28309*f[7, 90])/7680 + (6307*f[7, 91])/384 - (41853*f[7, 92])/1280 - 
       (214129*f[7, 93])/7680 + (59*f[7, 94])/80 - (13859*f[7, 95])/320 + 
       (4539*f[7, 96])/1280 + (16963*f[7, 97])/768 + (83471*f[7, 98])/3840 - 
       (6943*f[7, 99])/384 - (43975*f[7, 100])/384 - (37847*f[7, 101])/3840 - 
       (38677*f[7, 102])/1920 - (10681*f[7, 103])/1920 - 
       (8837*f[7, 104])/768 - (11621*f[7, 105])/960 + (39983*f[7, 106])/480 - 
       (28273*f[7, 107])/480 + (7949*f[7, 108])/384 + (5119*f[7, 109])/320 - 
       (26487*f[7, 110])/2560 - (44959*f[7, 111])/1920 + 
       (20711*f[7, 112])/640 + (6373*f[7, 113])/1920 + 
       (12091*f[7, 114])/960 + (57683*f[7, 115])/7680 + 
       (1735*f[7, 116])/192 - (770927*f[7, 117])/1920 - 
       (39221*f[7, 118])/7680 + (382603*f[7, 119])/7680 + 
       (1983*f[7, 120])/64 - (173*f[7, 121])/10 + (97157*f[7, 122])/1920 + 
       (10621*f[7, 123])/640 - (21653*f[7, 124])/640 - 
       (23911*f[7, 125])/960 + (53881*f[7, 126])/1920 + f[7, 132]/10 - 
       f[7, 134]/10 - f[7, 135]/20 - (121*f[7, 136])/80 + 
       (6137*f[7, 137])/320 + (21017*f[7, 138])/1280 + f[7, 144]/5 - 
       (267*f[7, 146])/80 - (21*f[7, 147])/20 - (6743*f[7, 148])/320 - 
       (66121*f[7, 149])/1280 - (49651*f[7, 150])/1920)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*SPw2f1[u, v] + (-f[7, 26]/20 + f[7, 27]/20 + 
       (3*f[7, 28])/20 + f[7, 30]/8 - (11*f[7, 31])/20 + (3*f[7, 32])/10 + 
       (3*f[7, 33])/20 - f[7, 35]/20 - (3*f[7, 36])/20 - f[7, 37]/80 - 
       (7*f[7, 38])/10 - (3*f[7, 39])/20 - f[7, 40]/5 + (3*f[7, 41])/40 + 
       (3*f[7, 42])/40 + (9*f[7, 43])/20 + (9*f[7, 44])/10 + (2*f[7, 45])/5 + 
       (2*f[7, 46])/5 - (11*f[7, 47])/80 + f[7, 48]/20 + (97*f[7, 49])/160 - 
       (15*f[7, 50])/32 + (39*f[7, 51])/160 - f[7, 52]/8 - 
       (13*f[7, 53])/160 + (5*f[7, 54])/16 + (13*f[7, 55])/32 + 
       (989*f[7, 56])/640 - (175*f[7, 57])/256 - (479*f[7, 58])/80 + 
       (107*f[7, 59])/120 + (2127*f[7, 60])/2560 + (373*f[7, 61])/256 + 
       (1691*f[7, 62])/480 + (1691*f[7, 63])/480 - (1691*f[7, 64])/480 + 
       (65903*f[7, 65])/3840 - (34741*f[7, 66])/1920 - 
       (22741*f[7, 67])/3840 - (35803*f[7, 68])/960 - (35461*f[7, 69])/960 + 
       (33997*f[7, 70])/3840 - (6857*f[7, 71])/768 + (9031*f[7, 72])/240 - 
       (17663*f[7, 73])/480 - (4457*f[7, 74])/120 - (9043*f[7, 75])/7680 + 
       (26355*f[7, 76])/512 - (262559*f[7, 77])/7680 + (6929*f[7, 78])/384 - 
       (44619*f[7, 79])/2560 - (6239*f[7, 80])/2560 - (261*f[7, 81])/128 + 
       (30733*f[7, 82])/240 + (14995*f[7, 83])/192 + (41311*f[7, 84])/2560 - 
       (30787*f[7, 85])/640 - (933397*f[7, 86])/7680 - 
       (141259*f[7, 87])/2560 + (23473*f[7, 88])/1536 - (9481*f[7, 89])/960 - 
       (6211*f[7, 90])/1280 + (14375*f[7, 91])/384 - (415177*f[7, 92])/7680 - 
       (168413*f[7, 93])/3840 + (12091*f[7, 94])/7680 - 
       (212243*f[7, 95])/2560 + (56483*f[7, 96])/3840 + 
       (25237*f[7, 97])/768 + (125609*f[7, 98])/3840 - (17399*f[7, 99])/512 - 
       (100045*f[7, 100])/384 - (4297*f[7, 101])/160 - 
       (280667*f[7, 102])/7680 - (7461*f[7, 103])/1280 - 
       (4363*f[7, 104])/256 - (27839*f[7, 105])/2560 + 
       (44943*f[7, 106])/320 - (69917*f[7, 107])/480 + 
       (29779*f[7, 108])/768 + (30709*f[7, 109])/1280 - 
       (46367*f[7, 110])/3840 - (3199*f[7, 111])/80 + 
       (220909*f[7, 112])/3840 + (120823*f[7, 113])/7680 + 
       (164477*f[7, 114])/7680 + (32021*f[7, 115])/3840 + 
       (22417*f[7, 116])/1536 - (1538083*f[7, 117])/1920 - 
       (6889*f[7, 118])/1280 + (804227*f[7, 119])/7680 + 
       (40837*f[7, 120])/768 - (135373*f[7, 121])/3840 + 
       (357031*f[7, 122])/3840 + (120139*f[7, 123])/3840 - 
       (31999*f[7, 124])/480 - (103393*f[7, 125])/1920 + 
       (385051*f[7, 126])/7680 + (5*f[7, 136])/4 + (257*f[7, 137])/96 + 
       (357*f[7, 138])/64 + (3*f[7, 144])/5 + f[7, 145]/2 - 
       (299*f[7, 146])/20 - (2509*f[7, 147])/960 - (12737*f[7, 148])/160 - 
       (121989*f[7, 149])/640 - (210913*f[7, 150])/1920)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*SPw2f1[u, v] + (f[7, 21]/6 - (7*f[7, 26])/60 + 
       (7*f[7, 27])/60 + (11*f[7, 28])/60 + (7*f[7, 30])/48 - 
       (37*f[7, 31])/60 + (11*f[7, 32])/30 + (7*f[7, 33])/20 - 
       (17*f[7, 35])/60 - (11*f[7, 36])/60 - (7*f[7, 37])/240 - 
       (29*f[7, 38])/30 - (11*f[7, 39])/60 - (7*f[7, 40])/15 + 
       (11*f[7, 41])/120 + (11*f[7, 42])/120 + (11*f[7, 43])/20 + 
       (11*f[7, 44])/10 + (23*f[7, 45])/30 + (23*f[7, 46])/30 - 
       (37*f[7, 47])/240 + (17*f[7, 48])/60 + (133*f[7, 49])/160 - 
       (115*f[7, 50])/96 + (51*f[7, 51])/160 + (11*f[7, 52])/24 - 
       (581*f[7, 53])/480 + (5*f[7, 54])/16 + (107*f[7, 55])/96 + 
       (5003*f[7, 56])/1920 + (61*f[7, 57])/256 - (2293*f[7, 58])/240 + 
       (209*f[7, 59])/360 + (14249*f[7, 60])/7680 + (3379*f[7, 61])/768 + 
       (6797*f[7, 62])/1440 + (6797*f[7, 63])/1440 - (6797*f[7, 64])/1440 + 
       (31089*f[7, 65])/1280 - (45529*f[7, 66])/1920 - (8883*f[7, 67])/1280 - 
       (45787*f[7, 68])/960 - (45449*f[7, 69])/960 + (13771*f[7, 70])/1280 - 
       (8333*f[7, 71])/768 + (957*f[7, 72])/20 - (22477*f[7, 73])/480 - 
       (3807*f[7, 74])/80 - (28021*f[7, 75])/23040 + (100621*f[7, 76])/1536 - 
       (106337*f[7, 77])/2560 + (8885*f[7, 78])/384 - 
       (581519*f[7, 79])/23040 - (111299*f[7, 80])/23040 - 
       (9331*f[7, 81])/384 + (60083*f[7, 82])/360 + (21971*f[7, 83])/192 + 
       (486131*f[7, 84])/23040 - (352187*f[7, 85])/5760 - 
       (3557939*f[7, 86])/23040 - (1625159*f[7, 87])/23040 + 
       (89567*f[7, 88])/4608 - (38377*f[7, 89])/2880 - 
       (81451*f[7, 90])/11520 + (60833*f[7, 91])/1152 - 
       (550973*f[7, 92])/7680 - (673291*f[7, 93])/11520 + 
       (15733*f[7, 94])/2560 - (803581*f[7, 95])/7680 + 
       (68087*f[7, 96])/3840 + (104171*f[7, 97])/2304 + 
       (517303*f[7, 98])/11520 - (193667*f[7, 99])/4608 - 
       (367955*f[7, 100])/1152 - (91669*f[7, 101])/2880 - 
       (1212269*f[7, 102])/23040 - (97861*f[7, 103])/11520 - 
       (66667*f[7, 104])/2304 - (401939*f[7, 105])/23040 + 
       (548723*f[7, 106])/2880 - (251219*f[7, 107])/1440 + 
       (120125*f[7, 108])/2304 + (140803*f[7, 109])/3840 - 
       (70483*f[7, 110])/3840 - (36559*f[7, 111])/720 + 
       (277021*f[7, 112])/3840 + (426521*f[7, 113])/23040 + 
       (707539*f[7, 114])/23040 + (194687*f[7, 115])/11520 + 
       (79231*f[7, 116])/4608 - (5888581*f[7, 117])/5760 - 
       (77789*f[7, 118])/11520 + (3054029*f[7, 119])/23040 + 
       (54449*f[7, 120])/768 - (56219*f[7, 121])/1280 + 
       (1368257*f[7, 122])/11520 + (49997*f[7, 123])/1280 - 
       (39911*f[7, 124])/480 - (384391*f[7, 125])/5760 + 
       (1457717*f[7, 126])/23040 + f[7, 132]/20 - f[7, 134]/20 + 
       (9*f[7, 135])/40 - (419*f[7, 136])/240 + (557*f[7, 137])/40 + 
       (12217*f[7, 138])/960 + (19*f[7, 144])/30 + (11*f[7, 145])/12 - 
       (1937*f[7, 146])/120 - (1817*f[7, 147])/960 - (167447*f[7, 148])/
        1920 - (34753*f[7, 149])/160 - (329291*f[7, 150])/2880)*
      HPL[{1}, 1 - v]^4*SPw2f1[u, v] + ((-4*f[7, 26])/5 - (6*f[7, 27])/5 + 
       (2*f[7, 28])/5 + f[7, 30]/2 - (4*f[7, 31])/5 + (4*f[7, 32])/5 + 
       (12*f[7, 33])/5 - (4*f[7, 35])/5 - (2*f[7, 36])/5 + f[7, 37]/20 - 
       (16*f[7, 38])/5 - (7*f[7, 39])/5 - (6*f[7, 40])/5 + f[7, 41]/5 + 
       f[7, 42]/5 + (11*f[7, 43])/5 + (22*f[7, 44])/5 - (3*f[7, 45])/5 + 
       (7*f[7, 46])/5 - (9*f[7, 47])/20 + f[7, 48]/20 + (153*f[7, 49])/40 + 
       (31*f[7, 51])/40 + (3*f[7, 52])/2 - (21*f[7, 53])/20 + 
       (5*f[7, 54])/4 + 5*f[7, 55] + (641*f[7, 56])/160 + (253*f[7, 57])/64 - 
       (171*f[7, 58])/20 + (227*f[7, 59])/120 + (2723*f[7, 60])/640 + 
       (529*f[7, 61])/64 + (163*f[7, 62])/240 + (163*f[7, 63])/240 - 
       (163*f[7, 64])/240 + (17429*f[7, 65])/320 - (8473*f[7, 66])/160 - 
       (7593*f[7, 67])/320 - (8209*f[7, 68])/80 - (8193*f[7, 69])/80 + 
       (7081*f[7, 70])/320 - (1429*f[7, 71])/64 + (8477*f[7, 72])/80 - 
       (8003*f[7, 73])/80 - (8233*f[7, 74])/80 - (3253*f[7, 75])/480 + 
       (18517*f[7, 76])/128 - (54277*f[7, 77])/640 + (1517*f[7, 78])/32 - 
       (3499*f[7, 79])/60 - (5251*f[7, 80])/240 - (729*f[7, 81])/16 + 
       (186671*f[7, 82])/480 + (4403*f[7, 83])/16 + (22703*f[7, 84])/480 - 
       (275231*f[7, 85])/1920 - (41633*f[7, 86])/120 - (9829*f[7, 87])/60 + 
       (4385*f[7, 88])/96 - (11813*f[7, 89])/480 - (38969*f[7, 90])/1920 + 
       (2987*f[7, 91])/96 - (52443*f[7, 92])/320 - (267389*f[7, 93])/1920 - 
       (3313*f[7, 94])/160 - (36253*f[7, 95])/160 + (7139*f[7, 96])/320 + 
       (22211*f[7, 97])/192 + (109711*f[7, 98])/960 - (2255*f[7, 99])/24 - 
       (59759*f[7, 100])/96 - (55927*f[7, 101])/960 - (19771*f[7, 102])/240 - 
       (14531*f[7, 103])/480 - (7261*f[7, 104])/192 - (28667*f[7, 105])/480 + 
       (50443*f[7, 106])/120 - (39923*f[7, 107])/120 + (9937*f[7, 108])/96 + 
       (6139*f[7, 109])/80 - (30867*f[7, 110])/640 - (59909*f[7, 111])/480 + 
       (27101*f[7, 112])/160 + (1037*f[7, 113])/120 + (28507*f[7, 114])/480 + 
       (52303*f[7, 115])/1920 + (4747*f[7, 116])/96 - 
       (1011607*f[7, 117])/480 - (66361*f[7, 118])/1920 + 
       (506123*f[7, 119])/1920 + (2547*f[7, 120])/16 - (1739*f[7, 121])/20 + 
       (122377*f[7, 122])/480 + (14401*f[7, 123])/160 - 
       (28273*f[7, 124])/160 - (14983*f[7, 125])/120 + 
       (34363*f[7, 126])/240 + (4*f[7, 132])/5 - (4*f[7, 134])/5 + 
       (11*f[7, 135])/10 - (387*f[7, 136])/20 + (3861*f[7, 137])/20 + 
       (6673*f[7, 138])/40 + 28*f[7, 146] + (51*f[7, 147])/4 + 
       (49*f[7, 148])/16 - (779*f[7, 149])/32 + (2033*f[7, 150])/48)*
      HPL[{0, 1}, 1 - u]^2*SPw2f1[u, v] + 
     (f[7, 56]/8 - (3*f[7, 57])/8 + (9*f[7, 58])/4 + f[7, 59]/24 + 
       f[7, 60]/16 + (5*f[7, 61])/8 - (163*f[7, 62])/192 - 
       (163*f[7, 63])/192 + (163*f[7, 64])/192 - (3*f[7, 65])/8 + 
       (3*f[7, 66])/4 - (3*f[7, 67])/4 + (3*f[7, 68])/2 + (3*f[7, 69])/2 - 
       (3*f[7, 70])/8 + (3*f[7, 71])/8 - (3*f[7, 72])/2 + (3*f[7, 73])/2 + 
       (3*f[7, 74])/2 - (35*f[7, 75])/24 - (27*f[7, 76])/16 + 
       (27*f[7, 77])/16 - (3*f[7, 78])/4 + (43*f[7, 79])/48 - 
       (97*f[7, 80])/96 + (47*f[7, 81])/8 - (71*f[7, 82])/24 - 
       (11*f[7, 83])/8 - (31*f[7, 84])/48 + (31*f[7, 85])/48 + 
       (157*f[7, 86])/48 + (49*f[7, 87])/48 - (53*f[7, 88])/48 + 
       (211*f[7, 89])/192 + f[7, 90]/12 - (659*f[7, 91])/48 + 
       (71*f[7, 92])/32 + (13*f[7, 93])/48 - (71*f[7, 94])/16 + 
       (27*f[7, 95])/8 - (81*f[7, 96])/32 + (79*f[7, 97])/96 + 
       (79*f[7, 98])/96 + (191*f[7, 99])/192 + (445*f[7, 100])/24 + 
       (427*f[7, 101])/192 + (1195*f[7, 102])/192 - (139*f[7, 103])/96 + 
       (995*f[7, 104])/192 - (181*f[7, 105])/96 - (401*f[7, 106])/48 + 
       (499*f[7, 107])/48 - (769*f[7, 108])/192 - (179*f[7, 109])/64 - 
       (9*f[7, 110])/64 - (155*f[7, 111])/192 - (83*f[7, 112])/64 - 
       (823*f[7, 113])/192 - (175*f[7, 114])/96 - (289*f[7, 115])/96 + 
       (55*f[7, 116])/96 + (2387*f[7, 117])/48 - (493*f[7, 118])/192 - 
       (91*f[7, 119])/12 - (153*f[7, 120])/64 + (237*f[7, 121])/64 - 
       (1451*f[7, 122])/192 - (141*f[7, 123])/64 + (189*f[7, 124])/32 + 
       (1481*f[7, 125])/192 - (553*f[7, 126])/192 + (9*f[7, 136])/8 - 
       (3*f[7, 137])/2 - (71*f[7, 138])/32 + (9*f[7, 146])/4 + 
       (9*f[7, 147])/8 + (23*f[7, 148])/8 + (31*f[7, 149])/8 + 
       (671*f[7, 150])/96)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
      SPw2f1[u, v] + ((-3*f[7, 24])/2 - f[7, 25]/4 - f[7, 29]/4 + 
       f[7, 34]/8 - (3*f[7, 43])/2 - (3*f[7, 44])/2 - f[7, 45]/4 - 
       f[7, 46]/4 - (3*f[7, 48])/16 - (19*f[7, 49])/16 + f[7, 50]/4 - 
       (17*f[7, 51])/16 - (5*f[7, 52])/8 + f[7, 53]/8 - (25*f[7, 54])/16 + 
       (11*f[7, 55])/8 - (85*f[7, 56])/64 + (249*f[7, 57])/128 + 
       (55*f[7, 58])/4 - (59*f[7, 59])/96 - (53*f[7, 60])/256 + 
       (85*f[7, 61])/128 - (2435*f[7, 62])/384 - (2435*f[7, 63])/384 + 
       (2435*f[7, 64])/384 - (2795*f[7, 65])/128 + (1539*f[7, 66])/64 + 
       (603*f[7, 67])/128 + (1547*f[7, 68])/32 + (1547*f[7, 69])/32 - 
       (1539*f[7, 70])/128 + (1539*f[7, 71])/128 - (1575*f[7, 72])/32 + 
       (1553*f[7, 73])/32 + (1543*f[7, 74])/32 - (181*f[7, 75])/48 - 
       (17239*f[7, 76])/256 + (12555*f[7, 77])/256 - (1547*f[7, 78])/64 + 
       (2483*f[7, 79])/96 + (589*f[7, 80])/192 + (123*f[7, 81])/4 - 
       (30973*f[7, 82])/192 - (3227*f[7, 83])/32 - (4291*f[7, 84])/192 + 
       (45445*f[7, 85])/768 + (29359*f[7, 86])/192 + (13219*f[7, 87])/192 - 
       (4229*f[7, 88])/192 + (6053*f[7, 89])/384 + (7231*f[7, 90])/768 - 
       (13559*f[7, 91])/192 + (9305*f[7, 92])/128 + (39235*f[7, 93])/768 - 
       (323*f[7, 94])/32 + (6897*f[7, 95])/64 - (3407*f[7, 96])/128 - 
       (15443*f[7, 97])/384 - (15347*f[7, 98])/384 + (16429*f[7, 99])/384 + 
       (72533*f[7, 100])/192 + (7945*f[7, 101])/192 + (22481*f[7, 102])/384 + 
       (577*f[7, 103])/192 + (3349*f[7, 104])/96 + (995*f[7, 105])/96 - 
       (9683*f[7, 106])/48 + (20741*f[7, 107])/96 - (23483*f[7, 108])/384 - 
       (5531*f[7, 109])/128 + (3555*f[7, 110])/256 + (16799*f[7, 111])/384 - 
       (9331*f[7, 112])/128 - (10085*f[7, 113])/384 - (793*f[7, 114])/24 - 
       (19361*f[7, 115])/768 - (745*f[7, 116])/48 + (220367*f[7, 117])/192 + 
       (197*f[7, 118])/768 - (118777*f[7, 119])/768 - (9579*f[7, 120])/128 + 
       (7041*f[7, 121])/128 - (52789*f[7, 122])/384 - (5903*f[7, 123])/128 + 
       (807*f[7, 124])/8 + (34549*f[7, 125])/384 - (26477*f[7, 126])/384 + 
       f[7, 133]/8 - f[7, 134]/2 - (11*f[7, 135])/16 + (255*f[7, 136])/16 - 
       (2083*f[7, 137])/32 - (7879*f[7, 138])/128 - (3*f[7, 145])/2 - 
       (13*f[7, 146])/2 - (203*f[7, 147])/32 + (247*f[7, 148])/8 + 
       (10527*f[7, 149])/128 + (349*f[7, 150])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*SPw2f1[u, v] + 
     (-f[7, 24]/2 - f[7, 25]/4 - f[7, 29]/4 + (3*f[7, 34])/8 - 
       (3*f[7, 43])/2 - (3*f[7, 44])/2 - (3*f[7, 45])/4 - (3*f[7, 46])/4 - 
       f[7, 47]/8 + (3*f[7, 48])/16 - (17*f[7, 49])/16 + (5*f[7, 50])/4 - 
       (19*f[7, 51])/16 - f[7, 52]/8 + (7*f[7, 53])/8 - (31*f[7, 54])/16 + 
       (21*f[7, 55])/8 - (93*f[7, 56])/64 + (365*f[7, 57])/128 + 
       (105*f[7, 58])/4 - (187*f[7, 59])/96 - (57*f[7, 60])/256 + 
       (201*f[7, 61])/128 - (4753*f[7, 62])/384 - (4753*f[7, 63])/384 + 
       (4753*f[7, 64])/384 - (2423*f[7, 65])/128 + (1303*f[7, 66])/64 - 
       (513*f[7, 67])/128 + (1239*f[7, 68])/32 + (1247*f[7, 69])/32 - 
       (1223*f[7, 70])/128 + (1223*f[7, 71])/128 - (1243*f[7, 72])/32 + 
       (1241*f[7, 73])/32 + (1227*f[7, 74])/32 - (2753*f[7, 75])/192 - 
       (12523*f[7, 76])/256 + (11319*f[7, 77])/256 - (1247*f[7, 78])/64 + 
       (4625*f[7, 79])/192 - (269*f[7, 80])/96 + (1381*f[7, 81])/16 - 
       (21533*f[7, 82])/192 - (2447*f[7, 83])/32 - (1933*f[7, 84])/96 + 
       (28829*f[7, 85])/768 + (5009*f[7, 86])/48 + (2105*f[7, 87])/48 - 
       (931*f[7, 88])/48 + (7411*f[7, 89])/384 + (7319*f[7, 90])/768 - 
       (27319*f[7, 91])/192 + (7427*f[7, 92])/128 + (22595*f[7, 93])/768 - 
       (2771*f[7, 94])/64 + (2717*f[7, 95])/32 - (4847*f[7, 96])/128 - 
       (8323*f[7, 97])/384 - (8035*f[7, 98])/384 + (11453*f[7, 99])/384 + 
       (70153*f[7, 100])/192 + (515*f[7, 101])/12 + (32257*f[7, 102])/384 - 
       (1579*f[7, 103])/192 + (12277*f[7, 104])/192 - (1213*f[7, 105])/192 - 
       (577*f[7, 106])/3 + (20707*f[7, 107])/96 - (26209*f[7, 108])/384 - 
       (7069*f[7, 109])/128 + (1375*f[7, 110])/256 + (6361*f[7, 111])/384 - 
       (6361*f[7, 112])/128 - (17041*f[7, 113])/384 - (7213*f[7, 114])/192 - 
       (39409*f[7, 115])/768 - (257*f[7, 116])/192 + (210607*f[7, 117])/192 - 
       (15839*f[7, 118])/768 - (119549*f[7, 119])/768 - 
       (8249*f[7, 120])/128 + (7847*f[7, 121])/128 - (53303*f[7, 122])/384 - 
       (5197*f[7, 123])/128 + (3261*f[7, 124])/32 + (42287*f[7, 125])/384 - 
       (22657*f[7, 126])/384 + f[7, 132]/10 + f[7, 133]/4 - 
       (27*f[7, 134])/20 - f[7, 135]/20 - (503*f[7, 136])/40 + 
       (4473*f[7, 137])/80 + (7329*f[7, 138])/160 + (9*f[7, 144])/5 + 
       f[7, 145] + (397*f[7, 146])/5 + (1197*f[7, 147])/40 + 
       (50203*f[7, 148])/320 + (28561*f[7, 149])/80 + (103221*f[7, 150])/320)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*SPw2f1[u, v] + 
     ((8*f[7, 26])/5 + (12*f[7, 27])/5 - (4*f[7, 28])/5 + f[7, 29] - 
       f[7, 30] + (8*f[7, 31])/5 + (2*f[7, 32])/5 - (24*f[7, 33])/5 - 
       f[7, 34] + (8*f[7, 35])/5 - (6*f[7, 36])/5 - f[7, 37]/10 + 
       (32*f[7, 38])/5 + (24*f[7, 39])/5 + (12*f[7, 40])/5 - 
       (9*f[7, 41])/10 - (9*f[7, 42])/10 - (2*f[7, 43])/5 - (14*f[7, 44])/5 + 
       (6*f[7, 45])/5 - (14*f[7, 46])/5 + (7*f[7, 47])/5 + (83*f[7, 48])/20 - 
       (93*f[7, 49])/20 - 4*f[7, 50] + (39*f[7, 51])/20 - 9*f[7, 52] + 
       f[7, 53]/10 + f[7, 54]/2 - 16*f[7, 55] - (601*f[7, 56])/80 - 
       (841*f[7, 57])/32 - (47*f[7, 58])/5 + (817*f[7, 59])/40 - 
       (3463*f[7, 60])/320 - (989*f[7, 61])/32 + (177*f[7, 62])/20 + 
       (177*f[7, 63])/20 - (177*f[7, 64])/20 - (19489*f[7, 65])/160 + 
       (9053*f[7, 66])/80 + (10573*f[7, 67])/160 + (9089*f[7, 68])/40 + 
       (9093*f[7, 69])/40 - (7381*f[7, 70])/160 + (1521*f[7, 71])/32 - 
       (9317*f[7, 72])/40 + (8823*f[7, 73])/40 + (9113*f[7, 74])/40 + 
       (2911*f[7, 75])/80 - (21225*f[7, 76])/64 + (56657*f[7, 77])/320 - 
       (1645*f[7, 78])/16 + (10069*f[7, 79])/80 + (2537*f[7, 80])/40 - 
       (85*f[7, 81])/4 - (70597*f[7, 82])/80 - (5059*f[7, 83])/8 - 
       (4023*f[7, 84])/40 + (105817*f[7, 85])/320 + (4039*f[7, 86])/5 + 
       (1949*f[7, 87])/5 - (399*f[7, 88])/4 + (3841*f[7, 89])/80 + 
       (9803*f[7, 90])/320 + (443*f[7, 91])/16 + (58053*f[7, 92])/160 + 
       (107203*f[7, 93])/320 + (1657*f[7, 94])/20 + (20069*f[7, 95])/40 - 
       (3299*f[7, 96])/160 - (8573*f[7, 97])/32 - (42417*f[7, 98])/160 + 
       (1755*f[7, 99])/8 + (20601*f[7, 100])/16 + (17849*f[7, 101])/160 + 
       (10579*f[7, 102])/80 + (6507*f[7, 103])/80 + (1205*f[7, 104])/32 + 
       (6317*f[7, 105])/40 - (35727*f[7, 106])/40 + (13031*f[7, 107])/20 - 
       (3485*f[7, 108])/16 - (6319*f[7, 109])/40 + (35967*f[7, 110])/320 + 
       (24403*f[7, 111])/80 - (15463*f[7, 112])/40 + (937*f[7, 113])/40 - 
       (1303*f[7, 114])/10 - (7381*f[7, 115])/320 - (483*f[7, 116])/4 + 
       (354329*f[7, 117])/80 + (32327*f[7, 118])/320 - 
       (173861*f[7, 119])/320 - (5711*f[7, 120])/16 + (3243*f[7, 121])/20 - 
       (41499*f[7, 122])/80 - (15451*f[7, 123])/80 + (28323*f[7, 124])/80 + 
       (2183*f[7, 125])/10 - (24687*f[7, 126])/80 - (8*f[7, 132])/5 - 
       (3*f[7, 133])/2 + (8*f[7, 134])/5 + f[7, 135]/20 + 
       (127*f[7, 136])/10 - (13449*f[7, 137])/40 - (44889*f[7, 138])/160 - 
       4*f[7, 140] - 4*f[7, 144] + f[7, 145] - 42*f[7, 146] - 
       (167*f[7, 147])/8 + (607*f[7, 148])/8 + (9317*f[7, 149])/32 + 
       (173*f[7, 150])/4)*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      SPw2f1[u, v] + (-f[7, 5] + f[7, 18] - (4*f[7, 26])/5 + (4*f[7, 27])/5 + 
       (2*f[7, 28])/5 - f[7, 29]/2 - (4*f[7, 31])/5 + (4*f[7, 32])/5 + 
       (12*f[7, 33])/5 - f[7, 34]/2 - (4*f[7, 35])/5 - (2*f[7, 36])/5 + 
       f[7, 37]/20 - (16*f[7, 38])/5 - (2*f[7, 39])/5 - (6*f[7, 40])/5 + 
       f[7, 41]/5 + f[7, 42]/5 + (6*f[7, 43])/5 + (17*f[7, 44])/5 - 
       (3*f[7, 45])/5 + (2*f[7, 46])/5 + (11*f[7, 47])/20 + f[7, 48]/20 + 
       (73*f[7, 49])/40 - (7*f[7, 50])/2 - (9*f[7, 51])/40 + f[7, 52] - 
       (81*f[7, 53])/20 - f[7, 54]/2 - f[7, 55] + (691*f[7, 56])/160 - 
       (293*f[7, 57])/64 - (781*f[7, 58])/20 + (251*f[7, 59])/60 + 
       (3173*f[7, 60])/640 + (535*f[7, 61])/64 + (481*f[7, 62])/30 + 
       (481*f[7, 63])/30 - (481*f[7, 64])/30 + (18659*f[7, 65])/320 - 
       (8783*f[7, 66])/160 - (2143*f[7, 67])/320 - (7859*f[7, 68])/80 - 
       (7943*f[7, 69])/80 + (7071*f[7, 70])/320 - (1427*f[7, 71])/64 + 
       (7727*f[7, 72])/80 - (7733*f[7, 73])/80 - (7783*f[7, 74])/80 + 
       (6367*f[7, 75])/480 + (16387*f[7, 76])/128 - (56947*f[7, 77])/640 + 
       (1467*f[7, 78])/32 - (14741*f[7, 79])/240 - (1033*f[7, 80])/120 - 
       (2545*f[7, 81])/16 + (159241*f[7, 82])/480 + (4345*f[7, 83])/16 + 
       (23923*f[7, 84])/480 - (220801*f[7, 85])/1920 - (69821*f[7, 86])/240 - 
       (31031*f[7, 87])/240 + (4273*f[7, 88])/96 - (17833*f[7, 89])/480 - 
       (54679*f[7, 90])/1920 + (16261*f[7, 91])/96 - (47513*f[7, 92])/320 - 
       (221179*f[7, 93])/1920 + (8247*f[7, 94])/160 - (33693*f[7, 95])/160 + 
       (18349*f[7, 96])/320 + (16093*f[7, 97])/192 + (80081*f[7, 98])/960 - 
       (977*f[7, 99])/12 - (69217*f[7, 100])/96 - (71537*f[7, 101])/960 - 
       (2276*f[7, 102])/15 - (2911*f[7, 103])/480 - (20687*f[7, 104])/192 - 
       (12727*f[7, 105])/480 + (13547*f[7, 106])/30 - (47743*f[7, 107])/120 + 
       (12617*f[7, 108])/96 + (4507*f[7, 109])/40 - (23437*f[7, 110])/640 - 
       (41029*f[7, 111])/480 + (22581*f[7, 112])/160 + (6427*f[7, 113])/120 + 
       (37067*f[7, 114])/480 + (161273*f[7, 115])/1920 + 
       (1955*f[7, 116])/96 - (1118777*f[7, 117])/480 + 
       (9529*f[7, 118])/1920 + (596533*f[7, 119])/1920 + 
       (2631*f[7, 120])/16 - (9201*f[7, 121])/80 + (139277*f[7, 122])/480 + 
       (14601*f[7, 123])/160 - (33003*f[7, 124])/160 - 
       (45001*f[7, 125])/240 + (33263*f[7, 126])/240 + (4*f[7, 132])/5 - 
       f[7, 133]/2 - (4*f[7, 134])/5 + (17*f[7, 135])/20 - 
       (637*f[7, 136])/20 + (8147*f[7, 137])/40 + (28497*f[7, 138])/160 - 
       f[7, 145] - 18*f[7, 146] - (61*f[7, 147])/8 + (241*f[7, 148])/16 + 
       (371*f[7, 149])/8 - (1241*f[7, 150])/48)*HPL[{0, 1}, 1 - v]^2*
      SPw2f1[u, v] + (-f[7, 34] - 2*f[7, 45] - 2*f[7, 46] + f[7, 47]/4 + 
       f[7, 49]/2 + f[7, 50] - f[7, 51]/2 - f[7, 52]/2 - f[7, 54] + 
       f[7, 55] - (27*f[7, 56])/16 - (3*f[7, 57])/32 + 4*f[7, 58] + 
       (21*f[7, 59])/8 + (23*f[7, 60])/64 - (15*f[7, 61])/32 - 
       (67*f[7, 62])/16 - (67*f[7, 63])/16 + (67*f[7, 64])/16 - 
       (127*f[7, 65])/32 + (35*f[7, 66])/16 - (61*f[7, 67])/32 + 
       (47*f[7, 68])/8 + (43*f[7, 69])/8 - (27*f[7, 70])/32 + 
       (27*f[7, 71])/32 - (31*f[7, 72])/8 + (39*f[7, 73])/8 + 
       (39*f[7, 74])/8 - (5*f[7, 75])/32 - (399*f[7, 76])/64 + 
       (591*f[7, 77])/64 - (43*f[7, 78])/16 + (113*f[7, 79])/32 + 
       (53*f[7, 80])/32 + (63*f[7, 81])/8 - (249*f[7, 82])/16 - 
       (181*f[7, 83])/8 - (79*f[7, 84])/32 + (309*f[7, 85])/64 + 
       (451*f[7, 86])/32 + (147*f[7, 87])/32 - (51*f[7, 88])/32 + 
       (19*f[7, 89])/4 + (99*f[7, 90])/64 - (491*f[7, 91])/16 + 
       (95*f[7, 92])/16 + (399*f[7, 93])/64 - (413*f[7, 94])/32 + 
       (367*f[7, 95])/32 - (321*f[7, 96])/32 + f[7, 97]/32 + 
       (65*f[7, 98])/32 + (221*f[7, 99])/32 + (1211*f[7, 100])/16 + 
       (329*f[7, 101])/32 + (621*f[7, 102])/32 - (77*f[7, 103])/16 + 
       (483*f[7, 104])/32 - (117*f[7, 105])/32 - (259*f[7, 106])/8 + 
       53*f[7, 107] - (259*f[7, 108])/16 - (143*f[7, 109])/8 - 
       (153*f[7, 110])/64 + (17*f[7, 111])/8 - (25*f[7, 112])/8 - 
       (173*f[7, 113])/32 - (367*f[7, 114])/32 - (665*f[7, 115])/64 + 
       (193*f[7, 116])/32 + (3411*f[7, 117])/16 - (533*f[7, 118])/64 - 
       (2015*f[7, 119])/64 - (171*f[7, 120])/16 + (69*f[7, 121])/8 - 
       (251*f[7, 122])/16 - (73*f[7, 123])/16 + (227*f[7, 124])/16 + 
       (275*f[7, 125])/16 - (57*f[7, 126])/32 - 7*f[7, 136] - 
       (81*f[7, 137])/4 - (113*f[7, 138])/4 + (51*f[7, 146])/2 + 
       (41*f[7, 147])/2 - (31*f[7, 148])/4 - 34*f[7, 149] + 
       (845*f[7, 150])/48)*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
      SPw2f1[u, v] + (-f[7, 28] - 2*f[7, 32] + f[7, 36] - f[7, 37]/2 + 
       4*f[7, 38] + f[7, 39] + f[7, 40] - f[7, 41] - f[7, 42] - 3*f[7, 43] - 
       6*f[7, 44] - f[7, 45] - 3*f[7, 46] - f[7, 47]/2 + (5*f[7, 48])/4 - 
       (11*f[7, 49])/4 + (9*f[7, 50])/2 - (5*f[7, 51])/4 + (3*f[7, 53])/2 - 
       (9*f[7, 54])/4 + 2*f[7, 55] - (63*f[7, 56])/8 + (23*f[7, 57])/2 + 
       44*f[7, 58] - (145*f[7, 59])/12 - (13*f[7, 60])/4 - (15*f[7, 61])/4 - 
       (1003*f[7, 62])/48 - (1003*f[7, 63])/48 + (1003*f[7, 64])/48 - 
       (327*f[7, 65])/4 + (351*f[7, 66])/4 + (157*f[7, 67])/8 + 
       (687*f[7, 68])/4 + (343*f[7, 69])/2 - (327*f[7, 70])/8 + 
       (331*f[7, 71])/8 - (683*f[7, 72])/4 + (683*f[7, 73])/4 + 
       169*f[7, 74] - (1085*f[7, 75])/96 - (467*f[7, 76])/2 + 
       (653*f[7, 77])/4 - (161*f[7, 78])/2 + (8399*f[7, 79])/96 + 
       (869*f[7, 80])/96 + (829*f[7, 81])/8 - (14039*f[7, 82])/24 - 
       (1543*f[7, 83])/4 - (7943*f[7, 84])/96 + (20477*f[7, 85])/96 + 
       (52085*f[7, 86])/96 + (23573*f[7, 87])/96 - (7375*f[7, 88])/96 + 
       (2497*f[7, 89])/48 + (3443*f[7, 90])/96 - (2663*f[7, 91])/12 + 
       (8069*f[7, 92])/32 + (19007*f[7, 93])/96 - (1277*f[7, 94])/32 + 
       (12289*f[7, 95])/32 - 87*f[7, 96] - (3605*f[7, 97])/24 - 
       (3557*f[7, 98])/24 + (14935*f[7, 99])/96 + (15287*f[7, 100])/12 + 
       (3257*f[7, 101])/24 + (19697*f[7, 102])/96 + (751*f[7, 103])/48 + 
       (5657*f[7, 104])/48 + (4271*f[7, 105])/96 - (8573*f[7, 106])/12 + 
       (8707*f[7, 107])/12 - (4793*f[7, 108])/24 - (551*f[7, 109])/4 + 
       (1847*f[7, 110])/32 + (8041*f[7, 111])/48 - (4273*f[7, 112])/16 - 
       (8573*f[7, 113])/96 - (10495*f[7, 114])/96 - (7987*f[7, 115])/96 - 
       (5843*f[7, 116])/96 + (47291*f[7, 117])/12 + (511*f[7, 118])/96 - 
       (3149*f[7, 119])/6 - (2095*f[7, 120])/8 + (1519*f[7, 121])/8 - 
       (11659*f[7, 122])/24 - (1251*f[7, 123])/8 + 347*f[7, 124] + 
       (14489*f[7, 125])/48 - (23903*f[7, 126])/96 - f[7, 132] + f[7, 134] - 
       f[7, 135]/4 + (95*f[7, 136])/4 - (207*f[7, 137])/2 - 
       (219*f[7, 138])/2 - 2*f[7, 144] + f[7, 145] + 40*f[7, 146] - 
       (13*f[7, 147])/8 + (4145*f[7, 148])/16 + (4969*f[7, 149])/8 + 
       (17627*f[7, 150])/48)*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      SPw2f1[u, v] + ((45*f[7, 56])/8 + (5*f[7, 57])/16 - 2*f[7, 58] - 
       (19*f[7, 59])/4 + (87*f[7, 60])/32 + (185*f[7, 61])/16 + 
       (41*f[7, 62])/8 + (41*f[7, 63])/8 - (41*f[7, 64])/8 + 
       (561*f[7, 65])/16 - (281*f[7, 66])/8 - (265*f[7, 67])/16 - 
       (281*f[7, 68])/4 - (281*f[7, 69])/4 + (281*f[7, 70])/16 - 
       (281*f[7, 71])/16 + (281*f[7, 72])/4 - (281*f[7, 73])/4 - 
       (281*f[7, 74])/4 - (151*f[7, 75])/16 + (3313*f[7, 76])/32 - 
       (2249*f[7, 77])/32 + (281*f[7, 78])/8 - (549*f[7, 79])/16 - 
       (201*f[7, 80])/16 + (61*f[7, 81])/4 + (2011*f[7, 82])/8 + 
       (651*f[7, 83])/4 + (499*f[7, 84])/16 - (3111*f[7, 85])/32 - 
       (3859*f[7, 86])/16 - (1799*f[7, 87])/16 + (439*f[7, 88])/16 - 
       17*f[7, 89] - (297*f[7, 90])/32 + (21*f[7, 91])/8 - (409*f[7, 92])/4 - 
       (2829*f[7, 93])/32 - (259*f[7, 94])/16 - (2511*f[7, 95])/16 + 
       (347*f[7, 96])/16 + (1233*f[7, 97])/16 + (1233*f[7, 98])/16 - 
       (1101*f[7, 99])/16 - (3901*f[7, 100])/8 - (835*f[7, 101])/16 - 
       (725*f[7, 102])/16 - (149*f[7, 103])/8 - (189*f[7, 104])/16 - 
       (487*f[7, 105])/16 + (1057*f[7, 106])/4 - 279*f[7, 107] + 
       (569*f[7, 108])/8 + (185*f[7, 109])/4 - (741*f[7, 110])/32 - 
       (339*f[7, 111])/4 + (225*f[7, 112])/2 + (157*f[7, 113])/16 + 
       (691*f[7, 114])/16 + (371*f[7, 115])/32 + (487*f[7, 116])/16 - 
       (12309*f[7, 117])/8 - (721*f[7, 118])/32 + (6393*f[7, 119])/32 + 
       (869*f[7, 120])/8 - 57*f[7, 121] + (1291*f[7, 122])/8 + 
       (471*f[7, 123])/8 - (927*f[7, 124])/8 - (647*f[7, 125])/8 + 
       (1445*f[7, 126])/16 - f[7, 132] + f[7, 134] - f[7, 135]/4 + 
       (91*f[7, 136])/4 - (401*f[7, 137])/4 - (1705*f[7, 138])/16 + 
       2*f[7, 144] - f[7, 145] - 46*f[7, 146] - (11*f[7, 147])/8 - 
       (4331*f[7, 148])/16 - (10219*f[7, 149])/16 - (6221*f[7, 150])/16)*
      HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*SPw2f1[u, v] + 
     (f[7, 22]/2 - 2*f[7, 24] - f[7, 30]/2 - f[7, 34]/2 - f[7, 37]/2 - 
       f[7, 39] - f[7, 40] - f[7, 43] - 2*f[7, 44] + 4*f[7, 45] + 
       4*f[7, 46] + f[7, 47]/4 - f[7, 48] - (7*f[7, 49])/4 - 10*f[7, 50] + 
       f[7, 51] - 8*f[7, 53] + 2*f[7, 54] - 9*f[7, 55] + (5*f[7, 56])/8 - 
       (9*f[7, 57])/16 - 22*f[7, 58] + (91*f[7, 59])/24 - (51*f[7, 60])/32 - 
       (29*f[7, 61])/16 + (1165*f[7, 62])/96 + (1165*f[7, 63])/96 - 
       (1165*f[7, 64])/96 - (197*f[7, 65])/16 + (89*f[7, 66])/8 + 
       (381*f[7, 67])/16 + 32*f[7, 68] + (121*f[7, 69])/4 - 
       (149*f[7, 70])/16 + (133*f[7, 71])/16 - (161*f[7, 72])/4 + 
       (131*f[7, 73])/4 + (67*f[7, 74])/2 + (2983*f[7, 75])/96 - 
       (1975*f[7, 76])/32 + (733*f[7, 77])/32 - (97*f[7, 78])/8 + 
       (227*f[7, 79])/96 + (305*f[7, 80])/96 - (277*f[7, 81])/2 - 
       (394*f[7, 82])/3 - 20*f[7, 83] - (335*f[7, 84])/96 + 
       (175*f[7, 85])/3 + (13613*f[7, 86])/96 + (6773*f[7, 87])/96 - 
       (535*f[7, 88])/96 - (277*f[7, 89])/96 - (20*f[7, 90])/3 + 
       (1525*f[7, 91])/12 + (1329*f[7, 92])/32 + (535*f[7, 93])/12 + 
       (2457*f[7, 94])/32 + (2145*f[7, 95])/32 + (163*f[7, 96])/8 - 
       (899*f[7, 97])/24 - (995*f[7, 98])/24 + (443*f[7, 99])/12 + 
       (2749*f[7, 100])/24 + (725*f[7, 101])/96 - (569*f[7, 102])/12 + 
       (1099*f[7, 103])/48 - (6587*f[7, 104])/96 + (3017*f[7, 105])/96 - 
       (221*f[7, 106])/12 + (1259*f[7, 107])/24 + (1369*f[7, 108])/96 + 
       (1011*f[7, 109])/32 + (343*f[7, 110])/32 + (6677*f[7, 111])/96 - 
       (1787*f[7, 112])/32 + (245*f[7, 113])/12 + (995*f[7, 114])/96 + 
       (1763*f[7, 115])/24 - (2705*f[7, 116])/96 + (3269*f[7, 117])/12 + 
       (5017*f[7, 118])/96 - (2141*f[7, 119])/96 - (961*f[7, 120])/32 - 
       (353*f[7, 121])/32 + (155*f[7, 122])/96 - (403*f[7, 123])/32 - 
       (15*f[7, 124])/16 - (3767*f[7, 125])/96 - (1069*f[7, 126])/48 - 
       4*f[7, 129] - f[7, 133]/2 - 4*f[7, 134] + f[7, 135]/4 - 
       (7*f[7, 136])/4 - (179*f[7, 137])/2 - (723*f[7, 138])/8 - 
       3*f[7, 145] - 42*f[7, 146] - (163*f[7, 147])/8 - (269*f[7, 148])/8 - 
       53*f[7, 149] - (7987*f[7, 150])/48)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*SPw2f1[u, v] + 
     (-2*f[7, 23] - f[7, 34] + 2*f[7, 35] - 8*f[7, 38] + 2*f[7, 40] + 
       2*f[7, 41] + 2*f[7, 42] + 2*f[7, 45] + 6*f[7, 46] + (3*f[7, 48])/2 - 
       (3*f[7, 49])/2 + (3*f[7, 51])/2 - 2*f[7, 52] + 5*f[7, 53] - 
       f[7, 54]/2 - 8*f[7, 55] - (31*f[7, 56])/8 - (385*f[7, 57])/16 - 
       49*f[7, 58] + (47*f[7, 59])/4 - (403*f[7, 60])/32 - 
       (477*f[7, 61])/16 + 33*f[7, 62] + 33*f[7, 63] - 33*f[7, 64] + 
       (1083*f[7, 65])/16 - (815*f[7, 66])/8 - (351*f[7, 67])/16 - 
       (837*f[7, 68])/4 - (823*f[7, 69])/4 + (839*f[7, 70])/16 - 
       (839*f[7, 71])/16 + (813*f[7, 72])/4 - (841*f[7, 73])/4 - 
       (821*f[7, 74])/4 + (339*f[7, 75])/16 + (8803*f[7, 76])/32 - 
       (7219*f[7, 77])/32 + (767*f[7, 78])/8 - (1369*f[7, 79])/16 - 
       (27*f[7, 80])/16 + (231*f[7, 81])/4 + (5425*f[7, 82])/8 + 
       (1347*f[7, 83])/4 + (1511*f[7, 84])/16 - (8133*f[7, 85])/32 - 
       (10249*f[7, 86])/16 - (4501*f[7, 87])/16 + (1571*f[7, 88])/16 - 
       (529*f[7, 89])/8 - (1311*f[7, 90])/32 + (3195*f[7, 91])/8 - 
       (2349*f[7, 92])/8 - (6523*f[7, 93])/32 + (793*f[7, 94])/16 - 
       (7515*f[7, 95])/16 + (2205*f[7, 96])/16 + (1847*f[7, 97])/16 + 
       (1783*f[7, 98])/16 - (3217*f[7, 99])/16 - (14427*f[7, 100])/8 - 
       (3281*f[7, 101])/16 - (3961*f[7, 102])/16 + (31*f[7, 103])/2 - 
       (2099*f[7, 104])/16 - (83*f[7, 105])/16 + (3253*f[7, 106])/4 - 
       (2145*f[7, 107])/2 + (1017*f[7, 108])/4 + (1243*f[7, 109])/8 - 
       (1199*f[7, 110])/32 - (1495*f[7, 111])/8 + (1277*f[7, 112])/4 + 
       (2089*f[7, 113])/16 + (1979*f[7, 114])/16 + (2425*f[7, 115])/32 + 
       (1019*f[7, 116])/16 - (40291*f[7, 117])/8 + (845*f[7, 118])/32 + 
       (21967*f[7, 119])/32 + (595*f[7, 120])/2 - (2019*f[7, 121])/8 + 
       602*f[7, 122] + (827*f[7, 123])/4 - (3693*f[7, 124])/8 - 
       (1683*f[7, 125])/4 + (4759*f[7, 126])/16 + 5*f[7, 133] + 2*f[7, 135] - 
       (35*f[7, 136])/2 + (585*f[7, 137])/2 + (2177*f[7, 138])/8 - 
       6*f[7, 145] - 54*f[7, 146] - (25*f[7, 147])/2 - (327*f[7, 148])/2 - 
       330*f[7, 149] - (1136*f[7, 150])/3)*HPL[{0, 0, 0, 1}, 1 - u]*
      SPw2f1[u, v] + (f[7, 56]/4 + f[7, 57]/8 + f[7, 58] - f[7, 59]/6 + 
       (3*f[7, 60])/16 + (5*f[7, 61])/8 - (17*f[7, 62])/48 - 
       (17*f[7, 63])/48 + (17*f[7, 64])/48 - (3*f[7, 65])/8 + 
       (3*f[7, 66])/4 - f[7, 67]/8 + (3*f[7, 68])/2 + (3*f[7, 69])/2 - 
       (3*f[7, 70])/8 + (3*f[7, 71])/8 - (3*f[7, 72])/2 + (3*f[7, 73])/2 + 
       (3*f[7, 74])/2 - f[7, 75]/24 - (35*f[7, 76])/16 + (27*f[7, 77])/16 - 
       (3*f[7, 78])/4 + (19*f[7, 79])/24 - f[7, 80]/3 + (3*f[7, 81])/2 - 
       (53*f[7, 82])/12 - 2*f[7, 83] - (19*f[7, 84])/24 + (71*f[7, 85])/48 + 
       (115*f[7, 86])/24 + (55*f[7, 87])/24 - (23*f[7, 88])/24 + 
       (29*f[7, 89])/48 + (5*f[7, 90])/48 - (47*f[7, 91])/6 + 
       (19*f[7, 92])/8 + (53*f[7, 93])/48 - (15*f[7, 94])/8 + 
       (25*f[7, 95])/8 - (5*f[7, 96])/4 - f[7, 97]/6 - f[7, 98]/6 + 
       (79*f[7, 99])/48 + (175*f[7, 100])/12 + (83*f[7, 101])/48 + 
       (167*f[7, 102])/48 - (11*f[7, 103])/24 + (127*f[7, 104])/48 + 
       f[7, 105]/6 - (79*f[7, 106])/12 + (101*f[7, 107])/12 - 
       (107*f[7, 108])/48 - (21*f[7, 109])/16 + f[7, 110]/4 + 
       (35*f[7, 111])/48 - (29*f[7, 112])/16 - (95*f[7, 113])/48 - 
       (13*f[7, 114])/12 - (61*f[7, 115])/48 - (5*f[7, 116])/12 + 
       (239*f[7, 117])/6 - (25*f[7, 118])/24 - (269*f[7, 119])/48 - 
       (31*f[7, 120])/16 + (31*f[7, 121])/16 - (217*f[7, 122])/48 - 
       (19*f[7, 123])/16 + (25*f[7, 124])/8 + (163*f[7, 125])/48 - 
       (101*f[7, 126])/48 - f[7, 137]/4 - (7*f[7, 138])/16 + 2*f[7, 146] + 
       f[7, 147] + (17*f[7, 148])/4 + (111*f[7, 149])/16 + 
       (149*f[7, 150])/24)*HPL[{0, 0, 1, 1}, 1 - v]*SPw2f1[u, v] + 
     (3*f[7, 37] + (3*f[7, 47])/4 - 3*f[7, 50] + (3*f[7, 52])/2 - 
       3*f[7, 53] - 3*f[7, 55] - (21*f[7, 56])/16 - (9*f[7, 57])/32 + 
       24*f[7, 58] - (19*f[7, 59])/8 - (75*f[7, 60])/64 + (3*f[7, 61])/32 - 
       (109*f[7, 62])/8 - (109*f[7, 63])/8 + (109*f[7, 64])/8 - 
       (477*f[7, 65])/32 + (345*f[7, 66])/16 + (9*f[7, 67])/32 + 
       (429*f[7, 68])/8 + (417*f[7, 69])/8 - (417*f[7, 70])/32 + 
       (417*f[7, 71])/32 - (429*f[7, 72])/8 + (417*f[7, 73])/8 + 
       (429*f[7, 74])/8 - (193*f[7, 75])/32 - (4821*f[7, 76])/64 + 
       (3405*f[7, 77])/64 - (417*f[7, 78])/16 + (715*f[7, 79])/32 - 
       (365*f[7, 80])/32 + (81*f[7, 81])/8 - (2543*f[7, 82])/16 - 
       (573*f[7, 83])/8 - (661*f[7, 84])/32 + (3659*f[7, 85])/64 + 
       (5419*f[7, 86])/32 + (2455*f[7, 87])/32 - (689*f[7, 88])/32 + 
       (281*f[7, 89])/16 - (391*f[7, 90])/64 - (3253*f[7, 91])/16 + 
       (597*f[7, 92])/8 + (3185*f[7, 93])/64 - (1515*f[7, 94])/32 + 
       (3801*f[7, 95])/32 - (999*f[7, 96])/32 - (625*f[7, 97])/32 - 
       (625*f[7, 98])/32 + (1415*f[7, 99])/32 + (7225*f[7, 100])/16 + 
       (1621*f[7, 101])/32 + (2923*f[7, 102])/32 - (133*f[7, 103])/16 + 
       (1991*f[7, 104])/32 - (275*f[7, 105])/32 - (1613*f[7, 106])/8 + 
       (1025*f[7, 107])/4 - (293*f[7, 108])/4 - (573*f[7, 109])/16 + 
       (165*f[7, 110])/64 + (527*f[7, 111])/16 - (285*f[7, 112])/4 - 
       (2113*f[7, 113])/32 - (1265*f[7, 114])/32 - (1699*f[7, 115])/64 - 
       (433*f[7, 116])/32 + (20605*f[7, 117])/16 - (1403*f[7, 118])/64 - 
       (11405*f[7, 119])/64 - (267*f[7, 120])/4 + (1035*f[7, 121])/16 - 
       (1211*f[7, 122])/8 - (171*f[7, 123])/4 + (1719*f[7, 124])/16 + 
       (451*f[7, 125])/4 - (2401*f[7, 126])/32 + 9*f[7, 136] - 
       (117*f[7, 137])/4 - (519*f[7, 138])/16 - 6*f[7, 145] + 30*f[7, 146] + 
       (27*f[7, 147])/2 + (921*f[7, 148])/8 + (789*f[7, 149])/4 + 
       (1169*f[7, 150])/8)*HPL[{0, 1, 1, 1}, 1 - v]*SPw2f1[u, v] + 
     (f[7, 50]/4 - (3*f[7, 62])/16 - (3*f[7, 63])/16 + (3*f[7, 64])/16 - 
       (3*f[7, 81])/4 + (3*f[7, 89])/16 - (5*f[7, 91])/8 - (3*f[7, 96])/8 + 
       (3*f[7, 97])/8 + (3*f[7, 98])/8 + (3*f[7, 99])/16 + (3*f[7, 100])/2 + 
       (3*f[7, 101])/16 + (3*f[7, 102])/16 - (3*f[7, 103])/8 + 
       (3*f[7, 104])/16 - (3*f[7, 105])/8 - (3*f[7, 106])/4 + 
       (3*f[7, 107])/4 - (9*f[7, 108])/16 - (9*f[7, 109])/16 - 
       (3*f[7, 110])/16 - (3*f[7, 111])/16 + (3*f[7, 112])/16 - 
       (3*f[7, 113])/16 - (3*f[7, 114])/8 - (3*f[7, 115])/8 + 
       (3*f[7, 116])/8 + (15*f[7, 117])/4 - (9*f[7, 118])/16 - 
       (3*f[7, 119])/4 - (3*f[7, 120])/16 + (3*f[7, 121])/16 - 
       (3*f[7, 122])/16 - (3*f[7, 123])/16 + (3*f[7, 124])/8 + 
       (9*f[7, 125])/16 + (3*f[7, 126])/16 + (3*f[7, 136])/8 + f[7, 137]/2 + 
       f[7, 138]/4 - (3*f[7, 146])/4 - (3*f[7, 147])/8 + (5*f[7, 148])/16 + 
       (3*f[7, 149])/2 + (107*f[7, 150])/96)*HPL[{1}, 1 - u]^2*
      SPw2f1[u, v]^2 + ((-2*f[7, 26])/5 - (3*f[7, 27])/5 + f[7, 28]/5 + 
       f[7, 30]/4 - (2*f[7, 31])/5 + (2*f[7, 32])/5 - (4*f[7, 33])/5 - 
       (2*f[7, 35])/5 - f[7, 36]/5 + f[7, 37]/40 - (8*f[7, 38])/5 - 
       f[7, 39]/5 - (3*f[7, 40])/5 + f[7, 41]/10 + f[7, 42]/10 + 
       (3*f[7, 43])/5 + (6*f[7, 44])/5 - (3*f[7, 45])/10 + (7*f[7, 46])/10 - 
       f[7, 47]/10 - (3*f[7, 48])/5 + (83*f[7, 49])/80 + f[7, 50]/4 - 
       (19*f[7, 51])/80 + (3*f[7, 52])/4 - (11*f[7, 53])/40 - 
       (3*f[7, 54])/8 + (11*f[7, 55])/4 + (841*f[7, 56])/320 + 
       (61*f[7, 57])/128 - (231*f[7, 58])/40 - (113*f[7, 59])/240 + 
       (3683*f[7, 60])/1280 + (721*f[7, 61])/128 + (199*f[7, 62])/240 + 
       (199*f[7, 63])/240 - (199*f[7, 64])/240 + (13509*f[7, 65])/640 - 
       (6433*f[7, 66])/320 - (5233*f[7, 67])/640 - (6369*f[7, 68])/160 - 
       (6313*f[7, 69])/160 + (5121*f[7, 70])/640 - (1037*f[7, 71])/128 + 
       (6477*f[7, 72])/160 - (6143*f[7, 73])/160 - (6293*f[7, 74])/160 - 
       (143*f[7, 75])/60 + (14253*f[7, 76])/256 - (37877*f[7, 77])/1280 + 
       (1141*f[7, 78])/64 - (22447*f[7, 79])/960 - (7237*f[7, 80])/960 - 
       (943*f[7, 81])/32 + (147331*f[7, 82])/960 + (3551*f[7, 83])/32 + 
       (9149*f[7, 84])/480 - (211171*f[7, 85])/3840 - (128497*f[7, 86])/960 - 
       (61057*f[7, 87])/960 + (52*f[7, 88])/3 - (9463*f[7, 89])/960 - 
       (28309*f[7, 90])/3840 + (6355*f[7, 91])/192 - (41853*f[7, 92])/640 - 
       (214129*f[7, 93])/3840 + (59*f[7, 94])/40 - (13859*f[7, 95])/160 + 
       (4539*f[7, 96])/640 + (16963*f[7, 97])/384 + (83471*f[7, 98])/1920 - 
       (6943*f[7, 99])/192 - (43975*f[7, 100])/192 - (37847*f[7, 101])/1920 - 
       (38677*f[7, 102])/960 - (10681*f[7, 103])/960 - (8837*f[7, 104])/384 - 
       (11621*f[7, 105])/480 + (39983*f[7, 106])/240 - 
       (28273*f[7, 107])/240 + (7949*f[7, 108])/192 + (5119*f[7, 109])/160 - 
       (26487*f[7, 110])/1280 - (44959*f[7, 111])/960 + 
       (20711*f[7, 112])/320 + (6373*f[7, 113])/960 + (12091*f[7, 114])/480 + 
       (57683*f[7, 115])/3840 + (1735*f[7, 116])/96 - 
       (770927*f[7, 117])/960 - (39221*f[7, 118])/3840 + 
       (382603*f[7, 119])/3840 + (1983*f[7, 120])/32 - (173*f[7, 121])/5 + 
       (97157*f[7, 122])/960 + (10621*f[7, 123])/320 - 
       (21653*f[7, 124])/320 - (23911*f[7, 125])/480 + 
       (53881*f[7, 126])/960 + f[7, 132]/5 - f[7, 134]/5 - f[7, 135]/10 - 
       (17*f[7, 136])/5 + (2631*f[7, 137])/80 + (9231*f[7, 138])/320 + 
       (2*f[7, 144])/5 - (53*f[7, 146])/10 - (7*f[7, 147])/20 - 
       (7453*f[7, 148])/160 - (18949*f[7, 149])/160 - (9431*f[7, 150])/160)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*SPw2f1[u, v]^2 + 
     ((-2*f[7, 26])/5 - (3*f[7, 27])/5 + f[7, 28]/5 + f[7, 30]/4 - 
       (2*f[7, 31])/5 + (2*f[7, 32])/5 - (4*f[7, 33])/5 + f[7, 35]/10 - 
       f[7, 36]/5 + (3*f[7, 37])/20 - (8*f[7, 38])/5 - f[7, 39]/5 - 
       f[7, 40]/10 + f[7, 41]/10 + f[7, 42]/10 + (3*f[7, 43])/5 + 
       (6*f[7, 44])/5 - (4*f[7, 45])/5 - (3*f[7, 46])/10 - (9*f[7, 47])/40 - 
       (3*f[7, 48])/5 + (49*f[7, 49])/40 + f[7, 50] - (17*f[7, 51])/40 - 
       f[7, 52] + (17*f[7, 53])/20 - (3*f[7, 54])/4 + (5*f[7, 55])/2 + 
       (11*f[7, 56])/20 - (13*f[7, 57])/8 - (49*f[7, 58])/10 + 
       (167*f[7, 59])/240 + (83*f[7, 60])/80 - (5*f[7, 61])/8 + 
       (1691*f[7, 62])/960 + (1691*f[7, 63])/960 - (1691*f[7, 64])/960 + 
       (201*f[7, 65])/10 - (117*f[7, 66])/5 - (423*f[7, 67])/40 - 
       (237*f[7, 68])/5 - (941*f[7, 69])/20 + (451*f[7, 70])/40 - 
       (91*f[7, 71])/8 + (497*f[7, 72])/10 - (234*f[7, 73])/5 - 
       (951*f[7, 74])/20 - (2173*f[7, 75])/960 + (2125*f[7, 76])/32 - 
       (3447*f[7, 77])/80 + (169*f[7, 78])/8 - (19487*f[7, 79])/960 - 
       (2087*f[7, 80])/960 + (57*f[7, 81])/4 + (39119*f[7, 82])/240 + 
       87*f[7, 83] + (19703*f[7, 84])/960 - (59579*f[7, 85])/960 - 
       (151127*f[7, 86])/960 - (70547*f[7, 87])/960 + (3923*f[7, 88])/192 - 
       (10943*f[7, 89])/960 - (4751*f[7, 90])/960 + (2117*f[7, 91])/48 - 
       (21999*f[7, 92])/320 - (52871*f[7, 93])/960 - (1063*f[7, 94])/320 - 
       (33533*f[7, 95])/320 + (2301*f[7, 96])/160 + (3863*f[7, 97])/96 + 
       (19339*f[7, 98])/480 - (4297*f[7, 99])/96 - (3935*f[7, 100])/12 - 
       (32381*f[7, 101])/960 - (4729*f[7, 102])/120 - (461*f[7, 103])/60 - 
       (2927*f[7, 104])/192 - (15617*f[7, 105])/960 + (5081*f[7, 106])/30 - 
       (43853*f[7, 107])/240 + (8635*f[7, 108])/192 + (7613*f[7, 109])/320 - 
       (139*f[7, 110])/10 - (50069*f[7, 111])/960 + (24541*f[7, 112])/320 + 
       (4427*f[7, 113])/240 + (21817*f[7, 114])/960 + (4747*f[7, 115])/960 + 
       (4285*f[7, 116])/192 - (237943*f[7, 117])/240 - (4307*f[7, 118])/480 + 
       (7757*f[7, 119])/60 + (4189*f[7, 120])/64 - (14367*f[7, 121])/320 + 
       (115177*f[7, 122])/960 + (13191*f[7, 123])/320 - 
       (13719*f[7, 124])/160 - (65197*f[7, 125])/960 + 
       (32143*f[7, 126])/480 + (9*f[7, 132])/20 - (9*f[7, 134])/20 + 
       f[7, 135]/40 - (697*f[7, 136])/80 + (6891*f[7, 137])/80 + 
       (26671*f[7, 138])/320 - f[7, 144]/10 + (3*f[7, 145])/4 + 
       (67*f[7, 146])/10 + (181*f[7, 147])/40 - (963*f[7, 148])/160 - 
       (6713*f[7, 149])/320 + (2993*f[7, 150])/320)*HPL[{1}, 1 - v]^2*
      SPw2f1[u, v]^2 + ((4*f[7, 26])/5 + (6*f[7, 27])/5 - (2*f[7, 28])/5 - 
       f[7, 30]/2 + (4*f[7, 31])/5 - (4*f[7, 32])/5 - (12*f[7, 33])/5 + 
       (4*f[7, 35])/5 + (2*f[7, 36])/5 - f[7, 37]/20 + (16*f[7, 38])/5 + 
       (7*f[7, 39])/5 + (6*f[7, 40])/5 - f[7, 41]/5 - f[7, 42]/5 - 
       (6*f[7, 43])/5 - (12*f[7, 44])/5 + (3*f[7, 45])/5 - (7*f[7, 46])/5 + 
       (9*f[7, 47])/20 + (29*f[7, 48])/20 - (123*f[7, 49])/40 + 
       (9*f[7, 51])/40 - (3*f[7, 52])/2 + (21*f[7, 53])/20 + f[7, 54]/4 - 
       5*f[7, 55] - (771*f[7, 56])/160 - (407*f[7, 57])/64 + 
       (161*f[7, 58])/20 + (373*f[7, 59])/120 - (3753*f[7, 60])/640 - 
       (691*f[7, 61])/64 - (37*f[7, 62])/60 - (37*f[7, 63])/60 + 
       (37*f[7, 64])/60 - (11279*f[7, 65])/320 + (5043*f[7, 66])/160 + 
       (4403*f[7, 67])/320 + (4779*f[7, 68])/80 + (4763*f[7, 69])/80 - 
       (3651*f[7, 70])/320 + (743*f[7, 71])/64 - (4987*f[7, 72])/80 + 
       (4573*f[7, 73])/80 + (4803*f[7, 74])/80 + (929*f[7, 75])/240 - 
       (10679*f[7, 76])/128 + (26447*f[7, 77])/640 - (831*f[7, 78])/32 + 
       (17987*f[7, 79])/480 + (6947*f[7, 80])/480 + (909*f[7, 81])/16 - 
       (113921*f[7, 82])/480 - (2949*f[7, 83])/16 - (1711*f[7, 84])/60 + 
       (162161*f[7, 85])/1920 + (97097*f[7, 86])/480 + (46517*f[7, 87])/480 - 
       (1285*f[7, 88])/48 + (7553*f[7, 89])/480 + (20519*f[7, 90])/1920 - 
       (3929*f[7, 91])/96 + (32103*f[7, 92])/320 + (170099*f[7, 93])/1920 + 
       (119*f[7, 94])/80 + (5177*f[7, 95])/40 - (2849*f[7, 96])/320 - 
       (13625*f[7, 97])/192 - (66781*f[7, 98])/960 + (5231*f[7, 99])/96 + 
       (31277*f[7, 100])/96 + (25177*f[7, 101])/960 + (28577*f[7, 102])/480 + 
       (8681*f[7, 103])/480 + (6667*f[7, 104])/192 + (601*f[7, 105])/15 - 
       (31243*f[7, 106])/120 + (19403*f[7, 107])/120 - (6199*f[7, 108])/96 - 
       (4319*f[7, 109])/80 + (21637*f[7, 110])/640 + (35069*f[7, 111])/480 - 
       (15561*f[7, 112])/160 - (2243*f[7, 113])/480 - (2399*f[7, 114])/60 - 
       (47353*f[7, 115])/1920 - (625*f[7, 116])/24 + (573997*f[7, 117])/480 + 
       (31831*f[7, 118])/1920 - (281753*f[7, 119])/1920 - 
       (1539*f[7, 120])/16 + (497*f[7, 121])/10 - (72367*f[7, 122])/480 - 
       (8151*f[7, 123])/160 + (16063*f[7, 124])/160 + (17171*f[7, 125])/240 - 
       (39821*f[7, 126])/480 - (4*f[7, 132])/5 + (4*f[7, 134])/5 - 
       f[7, 135]/10 + (337*f[7, 136])/20 - (744*f[7, 137])/5 - 
       (5023*f[7, 138])/40 - 22*f[7, 146] - (21*f[7, 147])/4 - 
       (303*f[7, 148])/8 - (2737*f[7, 149])/32 - (1137*f[7, 150])/16)*
      HPL[{0, 1}, 1 - u]*SPw2f1[u, v]^2 + 
     (-f[7, 24] - (4*f[7, 26])/5 - (6*f[7, 27])/5 + (2*f[7, 28])/5 + 
       f[7, 30]/2 - (4*f[7, 31])/5 - f[7, 32]/5 + (12*f[7, 33])/5 - 
       f[7, 34]/2 - (4*f[7, 35])/5 + (3*f[7, 36])/5 + f[7, 37]/20 - 
       (16*f[7, 38])/5 - (12*f[7, 39])/5 - f[7, 40]/5 + (9*f[7, 41])/20 + 
       (9*f[7, 42])/20 + f[7, 43]/5 + (7*f[7, 44])/5 - (3*f[7, 45])/5 + 
       (7*f[7, 46])/5 + (11*f[7, 47])/20 - (73*f[7, 48])/40 + 
       (83*f[7, 49])/40 - f[7, 50] - (19*f[7, 51])/40 + (5*f[7, 52])/2 - 
       (61*f[7, 53])/20 - (3*f[7, 54])/4 + (541*f[7, 56])/160 + 
       (589*f[7, 57])/64 - (71*f[7, 58])/20 - (1651*f[7, 59])/240 + 
       (3043*f[7, 60])/640 + (945*f[7, 61])/64 - (1379*f[7, 62])/480 - 
       (1379*f[7, 63])/480 + (1379*f[7, 64])/480 + (11789*f[7, 65])/320 - 
       (4613*f[7, 66])/160 - (4133*f[7, 67])/320 - (3449*f[7, 68])/80 - 
       (3613*f[7, 69])/80 + (1701*f[7, 70])/320 - (385*f[7, 71])/64 + 
       (3337*f[7, 72])/80 - (3323*f[7, 73])/80 - (3473*f[7, 74])/80 - 
       (2551*f[7, 75])/960 + (7669*f[7, 76])/128 - (17477*f[7, 77])/640 + 
       (589*f[7, 78])/32 - (37139*f[7, 79])/960 - (22919*f[7, 80])/960 - 
       (1423*f[7, 81])/16 + (90901*f[7, 82])/480 + (3025*f[7, 83])/16 + 
       (23681*f[7, 84])/960 - (124861*f[7, 85])/1920 - 
       (141359*f[7, 86])/960 - (69479*f[7, 87])/960 + (4241*f[7, 88])/192 - 
       (3179*f[7, 89])/240 - (34759*f[7, 90])/1920 - (2465*f[7, 91])/96 - 
       (6687*f[7, 92])/80 - (148879*f[7, 93])/1920 - (3611*f[7, 94])/320 - 
       (29251*f[7, 95])/320 + (959*f[7, 96])/320 + (12367*f[7, 97])/192 + 
       (60491*f[7, 98])/960 - (7121*f[7, 99])/192 - (18475*f[7, 100])/96 - 
       (11207*f[7, 101])/960 - (34919*f[7, 102])/960 - (691*f[7, 103])/30 - 
       (5291*f[7, 104])/192 - (45029*f[7, 105])/960 + (54781*f[7, 106])/240 - 
       (2527*f[7, 107])/30 + (5243*f[7, 108])/96 + (2517*f[7, 109])/40 - 
       (22037*f[7, 110])/640 - (7231*f[7, 111])/120 + (11911*f[7, 112])/160 - 
       (22099*f[7, 113])/960 + (35929*f[7, 114])/960 + 
       (74093*f[7, 115])/1920 + (3373*f[7, 116])/192 - 
       (424187*f[7, 117])/480 - (45791*f[7, 118])/1920 + 
       (198403*f[7, 119])/1920 + (2889*f[7, 120])/32 - (2611*f[7, 121])/80 + 
       (54647*f[7, 122])/480 + (6761*f[7, 123])/160 - (11863*f[7, 124])/160 - 
       (20717*f[7, 125])/480 + (59447*f[7, 126])/960 + (4*f[7, 132])/5 - 
       f[7, 133]/4 - (13*f[7, 134])/10 - f[7, 135]/40 - (389*f[7, 136])/40 + 
       (8519*f[7, 137])/80 + (27089*f[7, 138])/320 + 2*f[7, 140] + 
       2*f[7, 144] - 5*f[7, 145] + 13*f[7, 146] - (15*f[7, 147])/16 + 
       (1633*f[7, 148])/32 + (4425*f[7, 149])/64 + (4777*f[7, 150])/96)*
      HPL[{0, 1}, 1 - v]*SPw2f1[u, v]^2 + 
     ((-4*f[7, 26])/15 - (2*f[7, 27])/5 + (2*f[7, 28])/15 + f[7, 30]/6 - 
       (4*f[7, 31])/15 + (4*f[7, 32])/15 + (4*f[7, 33])/5 - (4*f[7, 35])/15 - 
       (2*f[7, 36])/15 + f[7, 37]/60 - (16*f[7, 38])/15 - (2*f[7, 39])/15 - 
       (2*f[7, 40])/5 + f[7, 41]/15 + f[7, 42]/15 + (2*f[7, 43])/5 + 
       (4*f[7, 44])/5 - f[7, 45]/5 + (7*f[7, 46])/15 - f[7, 47]/15 - 
       f[7, 48]/15 + (83*f[7, 49])/120 + f[7, 51]/120 + f[7, 52]/2 - 
       (7*f[7, 53])/20 - f[7, 54]/12 + (5*f[7, 55])/3 + (781*f[7, 56])/480 + 
       (19*f[7, 57])/64 - (97*f[7, 58])/20 + (79*f[7, 59])/120 + 
       (1101*f[7, 60])/640 + (223*f[7, 61])/64 + (117*f[7, 62])/80 + 
       (117*f[7, 63])/80 - (117*f[7, 64])/80 + (16529*f[7, 65])/960 - 
       (8053*f[7, 66])/480 - (2071*f[7, 67])/320 - (7789*f[7, 68])/240 - 
       (2591*f[7, 69])/80 + (6661*f[7, 70])/960 - (1345*f[7, 71])/192 + 
       (2639*f[7, 72])/80 - (7583*f[7, 73])/240 - (7733*f[7, 74])/240 - 
       (601*f[7, 75])/480 + (17329*f[7, 76])/384 - (50657*f[7, 77])/1920 + 
       (1433*f[7, 78])/96 - (4447*f[7, 79])/240 - (82*f[7, 80])/15 - 
       (997*f[7, 81])/48 + (58297*f[7, 82])/480 + (4151*f[7, 83])/48 + 
       (7331*f[7, 84])/480 - (28179*f[7, 85])/640 - (25877*f[7, 86])/240 - 
       (12157*f[7, 87])/240 + (1369*f[7, 88])/96 - (1397*f[7, 89])/160 - 
       (11423*f[7, 90])/1920 + (855*f[7, 91])/32 - (16601*f[7, 92])/320 - 
       (83083*f[7, 93])/1920 + (29*f[7, 94])/160 - (34123*f[7, 95])/480 + 
       (8159*f[7, 96])/960 + (6541*f[7, 97])/192 + (32257*f[7, 98])/960 - 
       (1421*f[7, 99])/48 - (19457*f[7, 100])/96 - (18209*f[7, 101])/960 - 
       (2629*f[7, 102])/80 - (3677*f[7, 103])/480 - (3479*f[7, 104])/192 - 
       (8119*f[7, 105])/480 + (16291*f[7, 106])/120 - (12881*f[7, 107])/120 + 
       (3347*f[7, 108])/96 + (2103*f[7, 109])/80 - (28927*f[7, 110])/1920 - 
       (17783*f[7, 111])/480 + (24941*f[7, 112])/480 + (221*f[7, 113])/30 + 
       (9859*f[7, 114])/480 + (7987*f[7, 115])/640 + (1303*f[7, 116])/96 - 
       (326569*f[7, 117])/480 - (4509*f[7, 118])/640 + 
       (165781*f[7, 119])/1920 + (2419*f[7, 120])/48 - (3533*f[7, 121])/120 + 
       (40039*f[7, 122])/480 + (13421*f[7, 123])/480 - (9171*f[7, 124])/160 - 
       (5251*f[7, 125])/120 + (1811*f[7, 126])/40 + (4*f[7, 132])/15 - 
       (4*f[7, 134])/15 + f[7, 135]/5 - (181*f[7, 136])/30 + 
       (7027*f[7, 137])/120 + (24017*f[7, 138])/480 + (8*f[7, 146])/3 + 
       (5*f[7, 147])/3 - (59*f[7, 148])/12 - (649*f[7, 149])/48 - 
       (125*f[7, 150])/72)*SPw2f1[u, v]^3 - 
     (f[7, 42]*HPL[{1}, 1 - u]^3*SPw3f1[u, v])/3 + f[7, 55]*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*SPw3f1[u, v] + (-f[7, 21]/3 + f[7, 22]/24 + 
       (2*f[7, 26])/15 - (2*f[7, 27])/15 - f[7, 28]/15 - f[7, 30]/24 + 
       (2*f[7, 31])/15 - (2*f[7, 32])/15 - (2*f[7, 33])/5 - f[7, 34]/12 + 
       (7*f[7, 35])/15 + f[7, 36]/15 + f[7, 37]/30 + (8*f[7, 38])/15 + 
       f[7, 39]/15 + (8*f[7, 40])/15 - f[7, 41]/30 - f[7, 42]/30 - 
       (6*f[7, 43])/5 - (7*f[7, 44])/5 - (11*f[7, 45])/15 - 
       (11*f[7, 46])/15 + (13*f[7, 47])/40 - (7*f[7, 48])/15 - 
       (6*f[7, 49])/5 - (3*f[7, 50])/2 - (2*f[7, 51])/5 + (7*f[7, 52])/12 - 
       (11*f[7, 53])/5 - f[7, 54]/2 - (29*f[7, 55])/12 - (397*f[7, 56])/120 - 
       (11*f[7, 57])/12 + (853*f[7, 58])/60 + (41*f[7, 59])/40 - 
       (289*f[7, 60])/120 - (55*f[7, 61])/12 - (1267*f[7, 62])/160 - 
       (1267*f[7, 63])/160 + (1267*f[7, 64])/160 - (353*f[7, 65])/15 + 
       (2501*f[7, 66])/120 + (387*f[7, 67])/80 + (5381*f[7, 68])/120 + 
       (2641*f[7, 69])/60 - (859*f[7, 70])/80 + (493*f[7, 71])/48 - 
       (5533*f[7, 72])/120 + (2591*f[7, 73])/60 + (1779*f[7, 74])/40 + 
       (597*f[7, 75])/320 - (513*f[7, 76])/8 + (21329*f[7, 77])/480 - 
       (327*f[7, 78])/16 + (10697*f[7, 79])/480 + (187*f[7, 80])/480 + 
       (1333*f[7, 81])/48 - (11531*f[7, 82])/80 - (4847*f[7, 83])/48 - 
       (2831*f[7, 84])/160 + (50653*f[7, 85])/960 + (45393*f[7, 86])/320 + 
       (61159*f[7, 87])/960 - (1589*f[7, 88])/96 + (3809*f[7, 89])/240 + 
       (217*f[7, 90])/60 - (1829*f[7, 91])/24 + (19413*f[7, 92])/320 + 
       (46757*f[7, 93])/960 - (2069*f[7, 94])/120 + (45739*f[7, 95])/480 - 
       (1447*f[7, 96])/60 - (1693*f[7, 97])/48 - (2683*f[7, 98])/80 + 
       (7589*f[7, 99])/192 + (2743*f[7, 100])/8 + (9043*f[7, 101])/240 + 
       (59149*f[7, 102])/960 + (553*f[7, 103])/240 + (3527*f[7, 104])/96 + 
       (3527*f[7, 105])/480 - (1759*f[7, 106])/10 + (11779*f[7, 107])/60 - 
       (1783*f[7, 108])/32 - (413*f[7, 109])/10 + (2461*f[7, 110])/320 + 
       (19819*f[7, 111])/480 - (18927*f[7, 112])/320 - (6829*f[7, 113])/240 - 
       (16177*f[7, 114])/480 - (2323*f[7, 115])/120 - (253*f[7, 116])/32 + 
       (124003*f[7, 117])/120 - (61*f[7, 118])/480 - (8359*f[7, 119])/60 - 
       (3197*f[7, 120])/48 + (20701*f[7, 121])/480 - (12943*f[7, 122])/120 - 
       (5571*f[7, 123])/160 + (18677*f[7, 124])/240 + (11279*f[7, 125])/160 - 
       (6259*f[7, 126])/120 - 2*f[7, 129] - f[7, 132]/10 - f[7, 133]/8 + 
       (4*f[7, 134])/15 - (43*f[7, 135])/240 - (1417*f[7, 136])/240 + 
       (9697*f[7, 137])/480 + (49157*f[7, 138])/1920 + (29*f[7, 144])/15 - 
       (13*f[7, 145])/6 + (791*f[7, 146])/20 + (1411*f[7, 147])/160 + 
       (15581*f[7, 148])/120 + (188931*f[7, 149])/640 + 
       (33893*f[7, 150])/180)*HPL[{1}, 1 - v]^3*SPw3f1[u, v] + 
     (-f[7, 34]/2 + f[7, 45] + f[7, 46] + f[7, 47]/4 + f[7, 48]/4 - 
       f[7, 49]/4 - 2*f[7, 50] + f[7, 51]/4 - f[7, 52] - (3*f[7, 53])/2 + 
       f[7, 54]/4 - (7*f[7, 55])/2 - (3*f[7, 56])/8 - (19*f[7, 57])/8 - 
       6*f[7, 58] + (5*f[7, 59])/4 + (15*f[7, 60])/16 - (5*f[7, 61])/8 + 
       (121*f[7, 62])/32 + (121*f[7, 63])/32 - (121*f[7, 64])/32 + 
       (11*f[7, 65])/8 + f[7, 66]/2 + (9*f[7, 67])/2 + (11*f[7, 68])/2 + 
       5*f[7, 69] - (3*f[7, 70])/2 + (3*f[7, 71])/2 - 7*f[7, 72] + 
       (25*f[7, 73])/4 + 6*f[7, 74] + (187*f[7, 75])/32 - 11*f[7, 76] - 
       f[7, 77]/16 - (5*f[7, 78])/2 + (13*f[7, 79])/32 + (63*f[7, 80])/32 - 
       (249*f[7, 81])/8 - (237*f[7, 82])/8 - (61*f[7, 83])/4 - 
       (21*f[7, 84])/32 + (391*f[7, 85])/32 + (989*f[7, 86])/32 + 
       (549*f[7, 87])/32 - (61*f[7, 88])/32 - (93*f[7, 89])/32 - 
       (153*f[7, 90])/32 + (147*f[7, 91])/8 + (269*f[7, 92])/32 + 
       (459*f[7, 93])/32 + (395*f[7, 94])/32 + (433*f[7, 95])/32 + 
       (167*f[7, 96])/16 - (165*f[7, 97])/16 - (181*f[7, 98])/16 + 
       (15*f[7, 99])/2 - (21*f[7, 100])/4 - (99*f[7, 101])/32 - 8*f[7, 102] + 
       5*f[7, 103] - (375*f[7, 104])/32 + (355*f[7, 105])/32 - 
       (63*f[7, 106])/8 - (105*f[7, 107])/8 + (109*f[7, 108])/32 + 
       (333*f[7, 109])/32 + 6*f[7, 110] + (441*f[7, 111])/32 - 
       (443*f[7, 112])/32 + (45*f[7, 113])/8 + (69*f[7, 114])/32 + 
       (545*f[7, 115])/32 - (351*f[7, 116])/32 - (7*f[7, 117])/8 + 
       (33*f[7, 118])/4 + (69*f[7, 119])/16 - (81*f[7, 120])/32 - 
       (115*f[7, 121])/32 - (69*f[7, 122])/32 - (45*f[7, 123])/32 - 
       (51*f[7, 124])/16 - (315*f[7, 125])/32 - (75*f[7, 126])/8 - 
       f[7, 133]/2 - f[7, 135]/4 - (27*f[7, 136])/4 - (51*f[7, 137])/2 - 
       (349*f[7, 138])/16 - f[7, 145] + (17*f[7, 147])/8 - (37*f[7, 148])/4 - 
       (285*f[7, 149])/8 - (1399*f[7, 150])/48)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*SPw3f1[u, v] + (-2*f[7, 18] - 4*f[7, 24] - 
       2*f[7, 25] + 4*f[7, 27] - 2*f[7, 29] - f[7, 30] + 4*f[7, 32] - 
       (5*f[7, 34])/2 - 3*f[7, 36] + 8*f[7, 39] + 2*f[7, 43] + 6*f[7, 44] + 
       f[7, 45] - 3*f[7, 46] + (17*f[7, 47])/4 + (25*f[7, 48])/4 - 
       (3*f[7, 49])/4 - 10*f[7, 50] - (7*f[7, 51])/4 - 21*f[7, 52] - 
       (13*f[7, 53])/2 - (23*f[7, 54])/4 - (33*f[7, 55])/2 - 
       (17*f[7, 56])/16 - (1351*f[7, 57])/32 - (81*f[7, 58])/2 + 
       (321*f[7, 59])/8 - (133*f[7, 60])/64 - (635*f[7, 61])/32 + 
       (847*f[7, 62])/32 + (847*f[7, 63])/32 - (847*f[7, 64])/32 - 
       (3147*f[7, 65])/32 + (1571*f[7, 66])/16 + (2411*f[7, 67])/32 + 
       (1747*f[7, 68])/8 + (1747*f[7, 69])/8 - (1443*f[7, 70])/32 + 
       (1507*f[7, 71])/32 - (1815*f[7, 72])/8 + (1785*f[7, 73])/8 + 
       (1767*f[7, 74])/8 + (1945*f[7, 75])/32 - (21927*f[7, 76])/64 + 
       (11179*f[7, 77])/64 - (1659*f[7, 78])/16 + (3713*f[7, 79])/32 + 
       (2481*f[7, 80])/32 - (1775*f[7, 81])/8 - (13873*f[7, 82])/16 - 
       (4145*f[7, 83])/8 - (2751*f[7, 84])/32 + (21525*f[7, 85])/64 + 
       (26865*f[7, 86])/32 + (13237*f[7, 87])/32 - (3139*f[7, 88])/32 + 
       (1139*f[7, 89])/32 + (1031*f[7, 90])/64 + (1883*f[7, 91])/16 + 
       (5881*f[7, 92])/16 + (20083*f[7, 93])/64 + (5013*f[7, 94])/32 + 
       (15671*f[7, 95])/32 + (177*f[7, 96])/32 - (8185*f[7, 97])/32 - 
       (8089*f[7, 98])/32 + (3569*f[7, 99])/16 + (19931*f[7, 100])/16 + 
       (847*f[7, 101])/8 + (623*f[7, 102])/16 + (683*f[7, 103])/8 - 
       (727*f[7, 104])/16 + (5497*f[7, 105])/32 - (3165*f[7, 106])/4 + 
       (4927*f[7, 107])/8 - (6479*f[7, 108])/32 - (4161*f[7, 109])/32 + 
       (7581*f[7, 110])/64 + (10121*f[7, 111])/32 - (12359*f[7, 112])/32 + 
       (1183*f[7, 113])/16 - (3753*f[7, 114])/32 + (2603*f[7, 115])/64 - 
       (4341*f[7, 116])/32 + (65813*f[7, 117])/16 + (8033*f[7, 118])/64 - 
       (32019*f[7, 119])/64 - (10933*f[7, 120])/32 + (4003*f[7, 121])/32 - 
       (14261*f[7, 122])/32 - (6201*f[7, 123])/32 + (2537*f[7, 124])/8 + 
       (5087*f[7, 125])/32 - (4603*f[7, 126])/16 - f[7, 133]/2 + 
       (7*f[7, 135])/4 - (5*f[7, 136])/2 - (285*f[7, 137])/8 - 
       (713*f[7, 138])/32 - 8*f[7, 140] - 12*f[7, 144] - 3*f[7, 145] - 
       75*f[7, 146] - (439*f[7, 147])/8 + (2813*f[7, 148])/8 + 
       (34477*f[7, 149])/32 + (2107*f[7, 150])/8)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*SPw3f1[u, v] + (f[7, 8] - 2*f[7, 23] - 4*f[7, 24] + 
       f[7, 25] + 2*f[7, 29] - f[7, 34] + 2*f[7, 41] + 2*f[7, 42] - 
       4*f[7, 43] - 4*f[7, 44] + 2*f[7, 45] + 2*f[7, 46] + f[7, 47]/2 - 
       (7*f[7, 48])/2 - (7*f[7, 49])/2 - 6*f[7, 50] + f[7, 51]/2 + 
       2*f[7, 52] - 5*f[7, 53] - (3*f[7, 54])/2 - 9*f[7, 55] - 
       (11*f[7, 56])/4 - (3*f[7, 57])/4 + 12*f[7, 58] - (14*f[7, 59])/3 - 
       (9*f[7, 60])/8 - (13*f[7, 61])/4 - (485*f[7, 62])/48 - 
       (485*f[7, 63])/48 + (485*f[7, 64])/48 - (363*f[7, 65])/4 + 
       (201*f[7, 66])/2 + (191*f[7, 67])/4 + 217*f[7, 68] + 217*f[7, 69] - 
       (219*f[7, 70])/4 + (219*f[7, 71])/4 - 226*f[7, 72] + 
       (429*f[7, 73])/2 + 219*f[7, 74] + (961*f[7, 75])/48 - 
       (1301*f[7, 76])/4 + (1715*f[7, 77])/8 - (217*f[7, 78])/2 + 
       (4499*f[7, 79])/48 + (629*f[7, 80])/48 - (411*f[7, 81])/4 - 
       (9023*f[7, 82])/12 - (831*f[7, 83])/2 - (4307*f[7, 84])/48 + 
       (13997*f[7, 85])/48 + (36383*f[7, 86])/48 + (17027*f[7, 87])/48 - 
       (4363*f[7, 88])/48 + (2309*f[7, 89])/48 + (653*f[7, 90])/48 - 
       (1243*f[7, 91])/12 + (4997*f[7, 92])/16 + (12317*f[7, 93])/48 + 
       (795*f[7, 94])/16 + (7941*f[7, 95])/16 - (529*f[7, 96])/8 - 
       (4819*f[7, 97])/24 - (4867*f[7, 98])/24 + (1247*f[7, 99])/6 + 
       (9275*f[7, 100])/6 + (7955*f[7, 101])/48 + (913*f[7, 102])/6 + 
       (539*f[7, 103])/12 + (1951*f[7, 104])/48 + (3581*f[7, 105])/48 - 
       (9355*f[7, 106])/12 + (10397*f[7, 107])/12 - (10025*f[7, 108])/48 - 
       (1587*f[7, 109])/16 + (117*f[7, 110])/2 + (11963*f[7, 111])/48 - 
       (5687*f[7, 112])/16 - (475*f[7, 113])/6 - (5197*f[7, 114])/48 - 
       (25*f[7, 115])/48 - (5261*f[7, 116])/48 + (55579*f[7, 117])/12 + 
       (709*f[7, 118])/12 - (14575*f[7, 119])/24 - (4889*f[7, 120])/16 + 
       (3101*f[7, 121])/16 - (25255*f[7, 122])/48 - (2997*f[7, 123])/16 + 
       (3025*f[7, 124])/8 + (13855*f[7, 125])/48 - (3635*f[7, 126])/12 - 
       3*f[7, 133] - 4*f[7, 134] - (3*f[7, 135])/2 - 11*f[7, 136] - 
       (671*f[7, 137])/2 - (1251*f[7, 138])/4 + 2*f[7, 139] + 6*f[7, 145] + 
       45*f[7, 146] + (59*f[7, 147])/4 + (993*f[7, 148])/8 + 
       (2263*f[7, 149])/8 + (5267*f[7, 150])/24)*HPL[{0, 0, 1}, 1 - u]*
      SPw3f1[u, v] + (4*f[7, 15] - 2*f[7, 23] + 2*f[7, 25] + 2*f[7, 29] - 
       f[7, 34] + 2*f[7, 41] + 2*f[7, 42] + 2*f[7, 45] + 2*f[7, 46] + 
       f[7, 47] + f[7, 48]/2 - f[7, 49]/2 - 6*f[7, 50] + (5*f[7, 51])/2 + 
       5*f[7, 52] - 5*f[7, 53] + (7*f[7, 54])/2 - 13*f[7, 55] - 
       (17*f[7, 56])/8 - (107*f[7, 57])/16 - 98*f[7, 58] + (55*f[7, 59])/12 - 
       (129*f[7, 60])/32 - (15*f[7, 61])/16 + (2023*f[7, 62])/48 + 
       (2023*f[7, 63])/48 - (2023*f[7, 64])/48 + (361*f[7, 65])/16 - 
       (133*f[7, 66])/8 + (691*f[7, 67])/16 - (85*f[7, 68])/4 - 
       (93*f[7, 69])/4 + (85*f[7, 70])/16 - (85*f[7, 71])/16 + 
       (49*f[7, 72])/4 - (99*f[7, 73])/4 - (81*f[7, 74])/4 + 
       (1679*f[7, 75])/24 + (69*f[7, 76])/32 - (1145*f[7, 77])/32 + 
       (93*f[7, 78])/8 - (112*f[7, 79])/3 + (571*f[7, 80])/24 - 
       419*f[7, 81] - (181*f[7, 82])/24 + (131*f[7, 83])/4 + 
       (671*f[7, 84])/24 + (2605*f[7, 85])/96 + (473*f[7, 86])/12 + 
       (413*f[7, 87])/12 + (541*f[7, 88])/24 - (1969*f[7, 89])/48 - 
       (2909*f[7, 90])/96 + (11281*f[7, 91])/24 - (705*f[7, 92])/16 + 
       (3451*f[7, 93])/96 + 203*f[7, 94] - (285*f[7, 95])/8 + 
       (1605*f[7, 96])/16 - (1499*f[7, 97])/48 - (1595*f[7, 98])/48 + 
       (193*f[7, 99])/48 - (10087*f[7, 100])/24 - (649*f[7, 101])/12 - 
       (10639*f[7, 102])/48 + (1117*f[7, 103])/24 - (5113*f[7, 104])/24 + 
       (821*f[7, 105])/12 + (1687*f[7, 106])/6 - (3193*f[7, 107])/12 + 
       (6355*f[7, 108])/48 + (2203*f[7, 109])/16 + (39*f[7, 110])/32 + 
       (4025*f[7, 111])/48 - (179*f[7, 112])/16 + (6385*f[7, 113])/48 + 
       (224*f[7, 114])/3 + (19675*f[7, 115])/96 - (301*f[7, 116])/6 - 
       (33385*f[7, 117])/24 + (9509*f[7, 118])/96 + (21371*f[7, 119])/96 + 
       (1255*f[7, 120])/16 - (2061*f[7, 121])/16 + (11921*f[7, 122])/48 + 
       (759*f[7, 123])/16 - (717*f[7, 124])/4 - (12785*f[7, 125])/48 + 
       (3301*f[7, 126])/48 - 4*f[7, 133] - 3*f[7, 135] - 6*f[7, 136] - 
       191*f[7, 137] - (1517*f[7, 138])/8 - 4*f[7, 145] - 183*f[7, 146] - 
       (157*f[7, 147])/2 - 337*f[7, 148] - (4735*f[7, 149])/8 - 
       (6253*f[7, 150])/8)*HPL[{0, 0, 1}, 1 - v]*SPw3f1[u, v] + 
     (f[7, 7] + 8*f[7, 18] - 2*f[7, 22] + 8*f[7, 24] + 4*f[7, 25] + 
       3*f[7, 29] + f[7, 30] + 4*f[7, 34] + 2*f[7, 39] + 2*f[7, 40] - 
       2*f[7, 41] - 2*f[7, 42] + 2*f[7, 43] + 4*f[7, 44] - 2*f[7, 45] - 
       2*f[7, 46] - 7*f[7, 47] + (11*f[7, 48])/2 + 2*f[7, 49] + 24*f[7, 50] + 
       (11*f[7, 51])/2 + 10*f[7, 52] + 25*f[7, 53] + (21*f[7, 54])/2 + 
       47*f[7, 55] + (63*f[7, 56])/4 + (41*f[7, 57])/4 - (37*f[7, 59])/4 + 
       (91*f[7, 60])/8 + (99*f[7, 61])/4 - (19*f[7, 62])/4 - 
       (19*f[7, 63])/4 + (19*f[7, 64])/4 + (951*f[7, 65])/4 - 239*f[7, 66] - 
       (273*f[7, 67])/2 - (1103*f[7, 68])/2 - 542*f[7, 69] + 
       (267*f[7, 70])/2 - (267*f[7, 71])/2 + 574*f[7, 72] - 
       (1101*f[7, 73])/2 - (1103*f[7, 74])/2 - (241*f[7, 75])/2 + 
       (6491*f[7, 76])/8 - (3649*f[7, 77])/8 + 264*f[7, 78] - 
       (1001*f[7, 79])/4 - (315*f[7, 80])/4 + (1329*f[7, 81])/4 + 
       2014*f[7, 82] + (2307*f[7, 83])/2 + (415*f[7, 84])/2 - 
       (6165*f[7, 85])/8 - (7801*f[7, 86])/4 - 925*f[7, 87] + 211*f[7, 88] - 
       (477*f[7, 89])/4 - (231*f[7, 90])/8 + (477*f[7, 91])/2 - 
       (1669*f[7, 92])/2 - (2791*f[7, 93])/4 - (1561*f[7, 94])/8 - 
       1203*f[7, 95] + (319*f[7, 96])/4 + (2111*f[7, 97])/4 + 
       (2103*f[7, 98])/4 - (2147*f[7, 99])/4 - 3495*f[7, 100] - 
       (2637*f[7, 101])/8 - 339*f[7, 102] - (893*f[7, 103])/8 - 
       (605*f[7, 104])/8 - (1089*f[7, 105])/4 + (7467*f[7, 106])/4 - 
       1861*f[7, 107] + 495*f[7, 108] + (1109*f[7, 109])/4 - 
       (803*f[7, 110])/4 - (2705*f[7, 111])/4 + (3479*f[7, 112])/4 + 
       (637*f[7, 113])/8 + (1113*f[7, 114])/4 - (289*f[7, 115])/4 + 
       (517*f[7, 116])/2 - (21425*f[7, 117])/2 - (1435*f[7, 118])/8 + 
       (5471*f[7, 119])/4 + (6027*f[7, 120])/8 - 395*f[7, 121] + 
       1138*f[7, 122] + (1747*f[7, 123])/4 - (3321*f[7, 124])/4 - 
       555*f[7, 125] + (2667*f[7, 126])/4 + 2*f[7, 133] + 4*f[7, 134] + 
       2*f[7, 135] - 92*f[7, 136] + (3267*f[7, 137])/4 + 
       (11763*f[7, 138])/16 - 2*f[7, 139] + 8*f[7, 144] + 32*f[7, 145] + 
       181*f[7, 146] + (235*f[7, 147])/2 - (509*f[7, 148])/2 - 
       (11705*f[7, 149])/16 + (3631*f[7, 150])/12)*HPL[{0, 1, 1}, 1 - v]*
      SPw3f1[u, v] + (-f[7, 8]/2 + f[7, 25]/2 + f[7, 50] + 2*f[7, 52] + 
       f[7, 53] + f[7, 54] + f[7, 55] - f[7, 56]/8 - f[7, 57]/16 - 
       12*f[7, 58] + f[7, 59]/12 - (19*f[7, 60])/32 - (5*f[7, 61])/16 + 
       (253*f[7, 62])/48 + (253*f[7, 63])/48 - (253*f[7, 64])/48 + 
       (187*f[7, 65])/16 - (83*f[7, 66])/8 - (11*f[7, 67])/16 - 
       (105*f[7, 68])/4 - (107*f[7, 69])/4 + (107*f[7, 70])/16 - 
       (107*f[7, 71])/16 + (107*f[7, 72])/4 - (105*f[7, 73])/4 - 
       (107*f[7, 74])/4 + (17*f[7, 75])/6 + (1227*f[7, 76])/32 - 
       (827*f[7, 77])/32 + (107*f[7, 78])/8 - (169*f[7, 79])/12 + 
       (23*f[7, 80])/12 - (51*f[7, 81])/2 + (2033*f[7, 82])/24 + 
       (191*f[7, 83])/4 + (293*f[7, 84])/24 - (2885*f[7, 85])/96 - 
       (2051*f[7, 86])/24 - (959*f[7, 87])/24 + (295*f[7, 88])/24 - 
       (499*f[7, 89])/48 - (239*f[7, 90])/96 + (1795*f[7, 91])/24 - 
       (649*f[7, 92])/16 - (2423*f[7, 93])/96 + (151*f[7, 94])/8 - 
       (473*f[7, 95])/8 + (267*f[7, 96])/16 + (763*f[7, 97])/48 + 
       (763*f[7, 98])/48 - (1175*f[7, 99])/48 - (5269*f[7, 100])/24 - 
       (283*f[7, 101])/12 - (2059*f[7, 102])/48 + (55*f[7, 103])/24 - 
       (697*f[7, 104])/24 - (13*f[7, 105])/12 + (679*f[7, 106])/6 - 
       (1459*f[7, 107])/12 + (1837*f[7, 108])/48 + (413*f[7, 109])/16 - 
       (235*f[7, 110])/32 - (901*f[7, 111])/48 + (605*f[7, 112])/16 + 
       (1201*f[7, 113])/48 + (127*f[7, 114])/6 + (1861*f[7, 115])/96 + 
       (35*f[7, 116])/6 - (15739*f[7, 117])/24 + (515*f[7, 118])/96 + 
       (8825*f[7, 119])/96 + (677*f[7, 120])/16 - (543*f[7, 121])/16 + 
       (3923*f[7, 122])/48 + (397*f[7, 123])/16 - (237*f[7, 124])/4 - 
       (2855*f[7, 125])/48 + (1855*f[7, 126])/48 + f[7, 133] + 2*f[7, 134] + 
       (29*f[7, 136])/4 + (469*f[7, 137])/4 + (1717*f[7, 138])/16 - 
       f[7, 139] - 6*f[7, 145] - (81*f[7, 146])/2 - (57*f[7, 147])/2 + 
       (883*f[7, 148])/16 + (2577*f[7, 149])/16 - (245*f[7, 150])/12)*
      SPw3f1[u, v]^2 + (f[7, 14]/3 + (2*f[7, 31])/3 - (8*f[7, 33])/3 + 
       (2*f[7, 43])/3 + (2*f[7, 44])/3 + (3*f[7, 49])/8 + (5*f[7, 50])/12 + 
       f[7, 51]/12 + f[7, 54]/6 + (33*f[7, 56])/16 - (67*f[7, 57])/32 - 
       (169*f[7, 58])/12 + (53*f[7, 59])/48 + (221*f[7, 60])/192 + 
       (33*f[7, 61])/32 + (443*f[7, 62])/64 + (443*f[7, 63])/64 - 
       (443*f[7, 64])/64 + (577*f[7, 65])/32 - (979*f[7, 66])/48 - 
       (307*f[7, 67])/96 - (979*f[7, 68])/24 - (979*f[7, 69])/24 + 
       (979*f[7, 70])/96 - (979*f[7, 71])/96 + (247*f[7, 72])/6 - 
       (979*f[7, 73])/24 - (163*f[7, 74])/4 + (101*f[7, 75])/32 + 
       (11003*f[7, 76])/192 - (8059*f[7, 77])/192 + (979*f[7, 78])/48 - 
       (2003*f[7, 79])/96 + (17*f[7, 80])/96 - (1361*f[7, 81])/48 + 
       (6337*f[7, 82])/48 + (655*f[7, 83])/8 + (1789*f[7, 84])/96 - 
       (9245*f[7, 85])/192 - (12337*f[7, 86])/96 - (1851*f[7, 87])/32 + 
       (567*f[7, 88])/32 - (2621*f[7, 89])/192 - (1123*f[7, 90])/192 + 
       (925*f[7, 91])/12 - (1433*f[7, 92])/24 - (8039*f[7, 93])/192 + 
       (413*f[7, 94])/24 - (8677*f[7, 95])/96 + (373*f[7, 96])/16 + 
       (1487*f[7, 97])/48 + (1487*f[7, 98])/48 - (6923*f[7, 99])/192 - 
       (15713*f[7, 100])/48 - (6991*f[7, 101])/192 - (3577*f[7, 102])/64 - 
       (89*f[7, 103])/96 - (6635*f[7, 104])/192 - (149*f[7, 105])/24 + 
       (4073*f[7, 106])/24 - (2983*f[7, 107])/16 + (10043*f[7, 108])/192 + 
       (6775*f[7, 109])/192 - (327*f[7, 110])/32 - (6619*f[7, 111])/192 + 
       (11395*f[7, 112])/192 + (1833*f[7, 113])/64 + (471*f[7, 114])/16 + 
       (4411*f[7, 115])/192 + (283*f[7, 116])/24 - (2942*f[7, 117])/3 + 
       (161*f[7, 118])/48 + (8541*f[7, 119])/64 + (11915*f[7, 120])/192 - 
       (8933*f[7, 121])/192 + (7403*f[7, 122])/64 + (2339*f[7, 123])/64 - 
       (2653*f[7, 124])/32 - (14771*f[7, 125])/192 + (11089*f[7, 126])/192 - 
       (31*f[7, 136])/4 + (1043*f[7, 137])/24 + (4039*f[7, 138])/96 - 
       (37*f[7, 146])/3 - (9*f[7, 147])/4 - (733*f[7, 148])/16 - 
       (9751*f[7, 149])/96 - (1149*f[7, 150])/16)*HPL[{1}, 1 - u]^3*
      SPw3f1[v, u] + (f[7, 50]/3 + (4*f[7, 52])/3 - (2*f[7, 53])/3 + 
       (7*f[7, 55])/6 + (5*f[7, 56])/16 + (127*f[7, 57])/96 - 
       (49*f[7, 58])/12 - (5*f[7, 59])/24 + (157*f[7, 60])/192 + 
       (187*f[7, 61])/96 + (13*f[7, 62])/64 + (13*f[7, 63])/64 - 
       (13*f[7, 64])/64 + (191*f[7, 65])/96 - (17*f[7, 66])/48 + 
       (57*f[7, 67])/32 - (17*f[7, 68])/24 - (17*f[7, 69])/24 - 
       (25*f[7, 70])/32 + (71*f[7, 71])/96 + (17*f[7, 72])/24 - 
       (13*f[7, 73])/24 - (17*f[7, 74])/24 + (203*f[7, 75])/96 + 
       (37*f[7, 76])/64 + (187*f[7, 77])/64 + (7*f[7, 78])/16 - 
       (67*f[7, 79])/16 - (109*f[7, 80])/96 - (781*f[7, 81])/24 + 
       (235*f[7, 82])/48 + (83*f[7, 83])/8 + (29*f[7, 84])/24 + 
       (67*f[7, 85])/192 - (47*f[7, 86])/96 - (59*f[7, 87])/96 + f[7, 88] - 
       (143*f[7, 89])/192 - (157*f[7, 90])/192 + (135*f[7, 91])/8 - 
       (593*f[7, 92])/96 - (311*f[7, 93])/192 + (79*f[7, 94])/12 - 
       (3*f[7, 95])/8 - (17*f[7, 96])/16 + (37*f[7, 97])/12 + 
       (53*f[7, 98])/12 + (137*f[7, 99])/64 + (731*f[7, 100])/48 + 
       (217*f[7, 101])/64 - (615*f[7, 102])/64 - (29*f[7, 103])/32 - 
       (687*f[7, 104])/64 - (365*f[7, 105])/96 + (829*f[7, 106])/48 + 
       (725*f[7, 107])/48 + (817*f[7, 108])/192 + (427*f[7, 109])/64 - 
       (187*f[7, 110])/48 + (295*f[7, 111])/192 + (19*f[7, 112])/192 + 
       (335*f[7, 113])/192 + (361*f[7, 114])/96 + (579*f[7, 115])/64 - 
       (7*f[7, 116])/96 - (161*f[7, 117])/24 + (15*f[7, 118])/16 - 
       (35*f[7, 119])/64 + (803*f[7, 120])/192 - (283*f[7, 121])/192 + 
       (1379*f[7, 122])/192 - (5*f[7, 123])/192 - (139*f[7, 124])/96 - 
       (605*f[7, 125])/192 + (629*f[7, 126])/192 - f[7, 132]/30 + 
       f[7, 134]/30 - (3*f[7, 135])/20 - (101*f[7, 136])/10 + 
       (17987*f[7, 137])/240 + (23089*f[7, 138])/320 + f[7, 144]/15 - 
       f[7, 145]/2 + (667*f[7, 146])/60 - (1009*f[7, 147])/240 + 
       (817*f[7, 148])/10 + (187361*f[7, 149])/960 + (155821*f[7, 150])/1440)*
      HPL[{1}, 1 - v]^3*SPw3f1[v, u] + (2*f[7, 43] + 2*f[7, 44] + 
       f[7, 48]/2 + (3*f[7, 49])/2 + f[7, 51] + (3*f[7, 54])/2 - 
       (19*f[7, 56])/16 - (39*f[7, 57])/32 - 8*f[7, 58] + (119*f[7, 59])/24 - 
       (117*f[7, 60])/64 - (147*f[7, 61])/32 + (37*f[7, 62])/12 + 
       (37*f[7, 63])/12 - (37*f[7, 64])/12 + (469*f[7, 65])/32 - 
       (261*f[7, 66])/16 - (117*f[7, 67])/32 - (261*f[7, 68])/8 - 
       (261*f[7, 69])/8 + (261*f[7, 70])/32 - (261*f[7, 71])/32 + 
       (273*f[7, 72])/8 - (261*f[7, 73])/8 - (269*f[7, 74])/8 + 
       (491*f[7, 75])/96 + (2829*f[7, 76])/64 - (2141*f[7, 77])/64 + 
       (261*f[7, 78])/16 - (1607*f[7, 79])/96 - (155*f[7, 80])/96 - 
       (163*f[7, 81])/8 + (5125*f[7, 82])/48 + (531*f[7, 83])/8 + 
       (1469*f[7, 84])/96 - (7633*f[7, 85])/192 - (9761*f[7, 86])/96 - 
       (4361*f[7, 87])/96 + (1561*f[7, 88])/96 - (457*f[7, 89])/48 - 
       (1159*f[7, 90])/192 + (1871*f[7, 91])/48 - (381*f[7, 92])/8 - 
       (6499*f[7, 93])/192 + (97*f[7, 94])/32 - (2399*f[7, 95])/32 + 
       (555*f[7, 96])/32 + (2771*f[7, 97])/96 + (2771*f[7, 98])/96 - 
       (2593*f[7, 99])/96 - (11963*f[7, 100])/48 - (2639*f[7, 101])/96 - 
       (3473*f[7, 102])/96 - (181*f[7, 103])/48 - (1921*f[7, 104])/96 - 
       (629*f[7, 105])/96 + (3229*f[7, 106])/24 - (1711*f[7, 107])/12 + 
       (451*f[7, 108])/12 + (363*f[7, 109])/16 - (565*f[7, 110])/64 - 
       (1453*f[7, 111])/48 + (843*f[7, 112])/16 + (1697*f[7, 113])/96 + 
       (1657*f[7, 114])/96 + (2597*f[7, 115])/192 + (1409*f[7, 116])/96 - 
       (36239*f[7, 117])/48 - (515*f[7, 118])/192 + (19375*f[7, 119])/192 + 
       (377*f[7, 120])/8 - (627*f[7, 121])/16 + (2341*f[7, 122])/24 + 
       (263*f[7, 123])/8 - (1145*f[7, 124])/16 - (1519*f[7, 125])/24 + 
       (4877*f[7, 126])/96 + f[7, 135]/2 - (9*f[7, 136])/2 + 
       (157*f[7, 137])/4 + (565*f[7, 138])/16 - 5*f[7, 146] - f[7, 147]/4 - 
       (57*f[7, 148])/2 - (561*f[7, 149])/8 - (423*f[7, 150])/8)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*SPw3f1[v, u] + 
     (-f[7, 52] - (3*f[7, 56])/8 + f[7, 57]/16 + f[7, 58]/2 + f[7, 59]/4 - 
       (5*f[7, 60])/32 - (11*f[7, 61])/16 - f[7, 62]/8 - f[7, 63]/8 + 
       f[7, 64]/8 - (23*f[7, 65])/16 + (9*f[7, 66])/8 + f[7, 67]/16 + 
       (9*f[7, 68])/4 + (9*f[7, 69])/4 - (13*f[7, 70])/16 + 
       (13*f[7, 71])/16 - (9*f[7, 72])/4 + (11*f[7, 73])/4 + (9*f[7, 74])/4 + 
       (27*f[7, 75])/32 - (103*f[7, 76])/32 + (19*f[7, 77])/32 - 
       (9*f[7, 78])/8 + (47*f[7, 79])/32 + (25*f[7, 80])/32 + 
       (17*f[7, 81])/8 - (35*f[7, 82])/4 - (21*f[7, 83])/2 - 
       (27*f[7, 84])/32 + (25*f[7, 85])/8 + (245*f[7, 86])/32 + 
       (117*f[7, 87])/32 - (19*f[7, 88])/32 + (7*f[7, 89])/8 + f[7, 90]/2 - 
       (7*f[7, 91])/8 + (97*f[7, 92])/32 + (29*f[7, 93])/8 - 
       (45*f[7, 94])/32 + (139*f[7, 95])/32 - (7*f[7, 96])/16 - 
       (43*f[7, 97])/16 - (43*f[7, 98])/16 + (65*f[7, 99])/32 + 
       (93*f[7, 100])/8 + f[7, 101]/2 + (113*f[7, 102])/32 - f[7, 103]/16 + 
       2*f[7, 104] + (67*f[7, 105])/32 - (21*f[7, 106])/2 + (5*f[7, 107])/2 - 
       (39*f[7, 108])/16 - (47*f[7, 109])/16 + (25*f[7, 110])/8 + 
       (13*f[7, 111])/4 - (11*f[7, 112])/4 + (11*f[7, 113])/32 - 
       (67*f[7, 114])/32 - (9*f[7, 115])/16 - (3*f[7, 116])/32 + 
       (303*f[7, 117])/8 + f[7, 118]/8 - (159*f[7, 119])/32 - 
       (59*f[7, 120])/16 + (13*f[7, 121])/16 - (55*f[7, 122])/16 - 
       (19*f[7, 123])/16 + (7*f[7, 124])/4 + (3*f[7, 125])/4 - 
       (57*f[7, 126])/32 + f[7, 133]/2 + f[7, 135]/4 + (7*f[7, 136])/2 + 
       (273*f[7, 137])/8 + (965*f[7, 138])/32 - f[7, 145] - 5*f[7, 146] - 
       (55*f[7, 147])/8 + (149*f[7, 148])/4 + (3237*f[7, 149])/32 + 
       (49*f[7, 150])/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*SPw3f1[v, u] + 
     (-2*f[7, 23] - 2*f[7, 34] + 2*f[7, 41] + 2*f[7, 42] + 4*f[7, 45] + 
       4*f[7, 46] - f[7, 49] - 4*f[7, 50] + f[7, 51] - 2*f[7, 52] - 
       2*f[7, 53] - f[7, 54] - 6*f[7, 55] + f[7, 56]/2 - 8*f[7, 57] - 
       38*f[7, 58] + (7*f[7, 59])/2 - 2*f[7, 60] - 6*f[7, 61] + 
       (167*f[7, 62])/8 + (167*f[7, 63])/8 - (167*f[7, 64])/8 + 17*f[7, 65] - 
       22*f[7, 66] + 11*f[7, 67] - 40*f[7, 68] - 40*f[7, 69] + 9*f[7, 70] - 
       9*f[7, 71] + 34*f[7, 72] - 37*f[7, 73] - 38*f[7, 74] + 
       (171*f[7, 75])/8 + (177*f[7, 76])/4 - 55*f[7, 77] + 20*f[7, 78] - 
       (203*f[7, 79])/8 + (69*f[7, 80])/8 - 97*f[7, 81] + (211*f[7, 82])/2 + 
       84*f[7, 83] + (167*f[7, 84])/8 - (255*f[7, 85])/8 - (755*f[7, 86])/8 - 
       (271*f[7, 87])/8 + (167*f[7, 88])/8 - (199*f[7, 89])/8 - 
       (103*f[7, 90])/8 + (479*f[7, 91])/2 - (469*f[7, 92])/8 - 
       (211*f[7, 93])/8 + (615*f[7, 94])/8 - (723*f[7, 95])/8 + 
       (233*f[7, 96])/4 - f[7, 97]/4 - (17*f[7, 98])/4 - (117*f[7, 99])/4 - 
       464*f[7, 100] - (477*f[7, 101])/8 - (245*f[7, 102])/2 + 21*f[7, 103] - 
       (791*f[7, 104])/8 + (207*f[7, 105])/8 + 210*f[7, 106] - 
       (587*f[7, 107])/2 + (663*f[7, 108])/8 + (531*f[7, 109])/8 + 
       (3*f[7, 110])/2 - (49*f[7, 111])/8 + (347*f[7, 112])/8 + 
       (133*f[7, 113])/2 + (361*f[7, 114])/8 + (543*f[7, 115])/8 - 
       (83*f[7, 116])/8 - (2607*f[7, 117])/2 + (163*f[7, 118])/4 + 
       190*f[7, 119] + (527*f[7, 120])/8 - (585*f[7, 121])/8 + 
       (1233*f[7, 122])/8 + (341*f[7, 123])/8 - (475*f[7, 124])/4 - 
       (1101*f[7, 125])/8 + (225*f[7, 126])/4 + f[7, 135] - 14*f[7, 136] + 
       38*f[7, 137] + (71*f[7, 138])/2 - 46*f[7, 146] - 24*f[7, 147] - 
       68*f[7, 148] - (207*f[7, 149])/2 - 156*f[7, 150])*
      HPL[{0, 0, 1}, 1 - u]*SPw3f1[v, u] + 
     (-2*f[7, 15] + 2*f[7, 34] + 4*f[7, 45] + 4*f[7, 46] - f[7, 47]/2 - 
       f[7, 49] - 2*f[7, 50] + f[7, 51] + f[7, 52] + 2*f[7, 54] - 
       2*f[7, 55] + 3*f[7, 56] - 2*f[7, 57] - 17*f[7, 58] - 3*f[7, 59] - 
       (3*f[7, 60])/2 - 2*f[7, 61] + (195*f[7, 62])/16 + (195*f[7, 63])/16 - 
       (195*f[7, 64])/16 + (19*f[7, 65])/2 - (19*f[7, 66])/2 + 
       (23*f[7, 67])/4 - 22*f[7, 68] - 21*f[7, 69] + (17*f[7, 70])/4 - 
       (17*f[7, 71])/4 + 18*f[7, 72] - 20*f[7, 73] - 20*f[7, 74] + 
       (7*f[7, 75])/2 + (47*f[7, 76])/2 - (57*f[7, 77])/2 + (21*f[7, 78])/2 - 
       (51*f[7, 79])/4 - (9*f[7, 80])/8 - 33*f[7, 81] + (121*f[7, 82])/2 + 
       (147*f[7, 83])/2 + (17*f[7, 84])/2 - (75*f[7, 85])/4 - 55*f[7, 86] - 
       (81*f[7, 87])/4 + 7*f[7, 88] - (251*f[7, 89])/16 - (7*f[7, 90])/2 + 
       (523*f[7, 91])/4 - (203*f[7, 92])/8 - (83*f[7, 93])/4 + 46*f[7, 94] - 
       (177*f[7, 95])/4 + (243*f[7, 96])/8 + (5*f[7, 97])/8 - 
       (27*f[7, 98])/8 - (303*f[7, 99])/16 - (533*f[7, 100])/2 - 
       (539*f[7, 101])/16 - (1187*f[7, 102])/16 + (145*f[7, 103])/8 - 
       (935*f[7, 104])/16 + (75*f[7, 105])/8 + (459*f[7, 106])/4 - 
       (671*f[7, 107])/4 + (813*f[7, 108])/16 + (829*f[7, 109])/16 + 
       (79*f[7, 110])/16 - (117*f[7, 111])/16 + (249*f[7, 112])/16 + 
       (419*f[7, 113])/16 + (273*f[7, 114])/8 + (247*f[7, 115])/8 - 
       (117*f[7, 116])/8 - (2847*f[7, 117])/4 + (469*f[7, 118])/16 + 
       (209*f[7, 119])/2 + (523*f[7, 120])/16 - (471*f[7, 121])/16 + 
       (931*f[7, 122])/16 + (255*f[7, 123])/16 - (379*f[7, 124])/8 - 
       (909*f[7, 125])/16 + (205*f[7, 126])/16 + f[7, 133] - 
       (17*f[7, 136])/2 + 23*f[7, 137] + (125*f[7, 138])/8 + 2*f[7, 145] - 
       17*f[7, 146] - (13*f[7, 147])/2 - 27*f[7, 148] - (99*f[7, 149])/2 - 
       (393*f[7, 150])/8)*HPL[{0, 0, 1}, 1 - v]*SPw3f1[v, u] + 
     (2*f[7, 23] + 2*f[7, 39] + 2*f[7, 41] - 2*f[7, 42] - 4*f[7, 43] + 
       2*f[7, 44] + (7*f[7, 47])/2 - f[7, 48]/2 - 3*f[7, 49] - 2*f[7, 51] - 
       3*f[7, 54] + (9*f[7, 56])/2 - (5*f[7, 57])/2 + 38*f[7, 58] - 
       (143*f[7, 59])/12 + (23*f[7, 60])/4 + (27*f[7, 61])/2 - 
       (743*f[7, 62])/48 - (743*f[7, 63])/48 + (743*f[7, 64])/48 - 
       (77*f[7, 65])/2 + 45*f[7, 66] + (5*f[7, 67])/2 + 90*f[7, 68] + 
       90*f[7, 69] - (45*f[7, 70])/2 + (45*f[7, 71])/2 - 93*f[7, 72] + 
       90*f[7, 73] + 92*f[7, 74] - (275*f[7, 75])/12 - (473*f[7, 76])/4 + 
       (373*f[7, 77])/4 - 45*f[7, 78] + (283*f[7, 79])/6 - (55*f[7, 80])/12 + 
       (393*f[7, 81])/4 - (836*f[7, 82])/3 - 171*f[7, 83] - 
       (247*f[7, 84])/6 + (1199*f[7, 85])/12 + (3251*f[7, 86])/12 + 
       (353*f[7, 87])/3 - (281*f[7, 88])/6 + (1535*f[7, 89])/48 + 
       (179*f[7, 90])/12 - (2647*f[7, 91])/12 + (525*f[7, 92])/4 + 
       (1001*f[7, 93])/12 - (189*f[7, 94])/4 + (829*f[7, 95])/4 - 
       (519*f[7, 96])/8 - (1501*f[7, 97])/24 - (1501*f[7, 98])/24 + 
       (3391*f[7, 99])/48 + (4469*f[7, 100])/6 + (4007*f[7, 101])/48 + 
       (6689*f[7, 102])/48 - (71*f[7, 103])/24 + (4417*f[7, 104])/48 - 
       (35*f[7, 105])/24 - (2333*f[7, 106])/6 + (5087*f[7, 107])/12 - 
       (5897*f[7, 108])/48 - (1239*f[7, 109])/16 + (319*f[7, 110])/16 + 
       (3137*f[7, 111])/48 - (2143*f[7, 112])/16 - (3761*f[7, 113])/48 - 
       (1397*f[7, 114])/24 - (1397*f[7, 115])/24 - (703*f[7, 116])/24 + 
       (26479*f[7, 117])/12 - (887*f[7, 118])/48 - (1819*f[7, 119])/6 - 
       (2059*f[7, 120])/16 + (1917*f[7, 121])/16 - (13855*f[7, 122])/48 - 
       (1489*f[7, 123])/16 + (1703*f[7, 124])/8 + (10009*f[7, 125])/48 - 
       (6785*f[7, 126])/48 - f[7, 135] + (11*f[7, 136])/2 - 
       (313*f[7, 137])/4 - (969*f[7, 138])/16 + 58*f[7, 146] + 20*f[7, 147] + 
       143*f[7, 148] + (4363*f[7, 149])/16 + (7205*f[7, 150])/24)*
      HPL[{0, 1, 1}, 1 - u]*SPw3f1[v, u] + 
     (4*f[7, 18] - 2*f[7, 43] - 2*f[7, 44] - 2*f[7, 45] - 2*f[7, 46] - 
       f[7, 48] - f[7, 49] + 4*f[7, 50] - (3*f[7, 51])/2 - 6*f[7, 52] + 
       3*f[7, 53] - (3*f[7, 54])/2 + 6*f[7, 55] - (9*f[7, 56])/8 + 
       (69*f[7, 57])/16 - 16*f[7, 58] - (25*f[7, 59])/12 + (63*f[7, 60])/32 + 
       (113*f[7, 61])/16 + (215*f[7, 62])/48 + (215*f[7, 63])/48 - 
       (215*f[7, 64])/48 + (105*f[7, 65])/16 + (11*f[7, 66])/8 + 
       (67*f[7, 67])/16 + (11*f[7, 68])/4 + (11*f[7, 69])/4 - 
       (51*f[7, 70])/16 + (67*f[7, 71])/16 - (9*f[7, 72])/4 + 
       (5*f[7, 73])/4 + (11*f[7, 74])/4 - (53*f[7, 75])/24 - 
       (219*f[7, 76])/32 + (559*f[7, 77])/32 - (19*f[7, 78])/8 - 
       (115*f[7, 79])/24 + (121*f[7, 80])/12 - 76*f[7, 81] - 
       (557*f[7, 82])/24 + (5*f[7, 83])/4 - (67*f[7, 84])/12 + 
       (1397*f[7, 85])/96 + (137*f[7, 86])/6 + (71*f[7, 87])/6 - 
       (17*f[7, 88])/3 - (425*f[7, 89])/48 + (503*f[7, 90])/96 + 
       (2585*f[7, 91])/24 - (13*f[7, 92])/16 + (923*f[7, 93])/96 + 
       (101*f[7, 94])/4 + (43*f[7, 95])/2 + (37*f[7, 96])/16 - 
       (931*f[7, 97])/48 - (931*f[7, 98])/48 + (545*f[7, 99])/48 + 
       (865*f[7, 100])/24 + (103*f[7, 101])/12 - (1661*f[7, 102])/48 + 
       (455*f[7, 103])/24 - (511*f[7, 104])/12 + (299*f[7, 105])/24 - 
       (55*f[7, 106])/6 + (439*f[7, 107])/12 + (587*f[7, 108])/48 + 
       (291*f[7, 109])/16 + (287*f[7, 110])/32 + (1153*f[7, 111])/48 - 
       (473*f[7, 112])/16 + (1037*f[7, 113])/48 + (245*f[7, 114])/24 + 
       (1655*f[7, 115])/96 - (581*f[7, 116])/24 + (2239*f[7, 117])/24 + 
       (1885*f[7, 118])/96 - (221*f[7, 119])/96 - (29*f[7, 120])/16 + 
       (39*f[7, 121])/16 - (1103*f[7, 122])/48 - (81*f[7, 123])/16 + 
       (19*f[7, 124])/2 - (277*f[7, 125])/48 - (1237*f[7, 126])/48 + 
       f[7, 135]/2 - 86*f[7, 136] + (933*f[7, 137])/2 + (3549*f[7, 138])/8 + 
       4*f[7, 145] + 134*f[7, 146] + (97*f[7, 147])/4 + (2183*f[7, 148])/4 + 
       (5061*f[7, 149])/4 + (1821*f[7, 150])/2)*HPL[{0, 1, 1}, 1 - v]*
      SPw3f1[v, u] + (-f[7, 34]/2 + f[7, 45] + f[7, 46] + (3*f[7, 48])/4 - 
       f[7, 49]/4 - f[7, 50] + f[7, 51]/4 - f[7, 52]/2 - f[7, 53]/2 + 
       f[7, 54]/4 - (3*f[7, 55])/2 + (5*f[7, 56])/16 - f[7, 57]/32 - 
       5*f[7, 58] - (5*f[7, 59])/24 - (35*f[7, 60])/64 + (3*f[7, 61])/32 + 
       (343*f[7, 62])/96 + (343*f[7, 63])/96 - (343*f[7, 64])/96 + 
       (75*f[7, 65])/32 - (31*f[7, 66])/16 + (73*f[7, 67])/32 - 
       (23*f[7, 68])/8 - (23*f[7, 69])/8 + (15*f[7, 70])/32 - 
       (15*f[7, 71])/32 + (11*f[7, 72])/8 - (17*f[7, 73])/8 - 
       (19*f[7, 74])/8 + (149*f[7, 75])/48 + (119*f[7, 76])/64 - 
       (363*f[7, 77])/64 + (23*f[7, 78])/16 - (61*f[7, 79])/24 + 
       (37*f[7, 80])/48 - (71*f[7, 81])/4 + (233*f[7, 82])/48 + 
       (85*f[7, 83])/8 + (83*f[7, 84])/48 - (137*f[7, 85])/192 - 
       (67*f[7, 86])/24 + (11*f[7, 87])/24 + (61*f[7, 88])/48 - 
       (325*f[7, 89])/96 - (287*f[7, 90])/192 + (1399*f[7, 91])/48 - 
       (107*f[7, 92])/32 - (167*f[7, 93])/192 + 12*f[7, 94] - 
       (97*f[7, 95])/16 + (267*f[7, 96])/32 - (125*f[7, 97])/96 - 
       (221*f[7, 98])/96 - (167*f[7, 99])/96 - (2269*f[7, 100])/48 - 
       (323*f[7, 101])/48 - (1507*f[7, 102])/96 + (157*f[7, 103])/48 - 
       (329*f[7, 104])/24 + (125*f[7, 105])/24 + (253*f[7, 106])/12 - 
       (805*f[7, 107])/24 + (1015*f[7, 108])/96 + (347*f[7, 109])/32 + 
       (105*f[7, 110])/64 + (221*f[7, 111])/96 + (13*f[7, 112])/32 + 
       (745*f[7, 113])/96 + (79*f[7, 114])/12 + (2137*f[7, 115])/192 - 
       (55*f[7, 116])/12 - (6559*f[7, 117])/48 + (1331*f[7, 118])/192 + 
       (4001*f[7, 119])/192 + (191*f[7, 120])/32 - (245*f[7, 121])/32 + 
       (1301*f[7, 122])/96 + (115*f[7, 123])/32 - (47*f[7, 124])/4 - 
       (1481*f[7, 125])/96 + (217*f[7, 126])/96 + f[7, 135]/4 - 
       (9*f[7, 136])/4 + (23*f[7, 137])/8 + (79*f[7, 138])/32 - 5*f[7, 146] - 
       (19*f[7, 147])/8 - (33*f[7, 148])/8 - (199*f[7, 149])/32 - 
       (44*f[7, 150])/3)*SPw3f1[v, u]^2 + 
     (f[7, 48]/8 + f[7, 50]/8 + f[7, 51]/16 + f[7, 53]/8 + f[7, 54]/16 - 
       (3*f[7, 55])/8 - (3*f[7, 56])/64 - f[7, 57]/128 - (3*f[7, 58])/8 + 
       (35*f[7, 59])/96 - (19*f[7, 60])/256 - (13*f[7, 61])/128 + 
       (83*f[7, 62])/384 + (83*f[7, 63])/384 - (83*f[7, 64])/384 + 
       (91*f[7, 65])/128 - (63*f[7, 66])/64 - (31*f[7, 67])/128 - 
       (83*f[7, 68])/32 - (79*f[7, 69])/32 + (71*f[7, 70])/128 - 
       (71*f[7, 71])/128 + (81*f[7, 72])/32 - (81*f[7, 73])/32 - 
       (81*f[7, 74])/32 + (67*f[7, 75])/192 + (943*f[7, 76])/256 - 
       (579*f[7, 77])/256 + (79*f[7, 78])/64 - (67*f[7, 79])/48 - 
       (61*f[7, 80])/192 - (17*f[7, 81])/16 + (1729*f[7, 82])/192 + 
       (153*f[7, 83])/32 + (241*f[7, 84])/192 - (2545*f[7, 85])/768 - 
       (397*f[7, 86])/48 - (23*f[7, 87])/6 + (251*f[7, 88])/192 - 
       (173*f[7, 89])/384 - (415*f[7, 90])/768 + (527*f[7, 91])/192 - 
       (531*f[7, 92])/128 - (2143*f[7, 93])/768 - (23*f[7, 94])/64 - 
       (369*f[7, 95])/64 + (131*f[7, 96])/128 + (995*f[7, 97])/384 + 
       (995*f[7, 98])/384 - (883*f[7, 99])/384 - (3245*f[7, 100])/192 - 
       (319*f[7, 101])/192 - (785*f[7, 102])/384 - (97*f[7, 103])/192 - 
       (221*f[7, 104])/192 - (5*f[7, 105])/6 + (533*f[7, 106])/48 - 
       (917*f[7, 107])/96 + (1127*f[7, 108])/384 + (199*f[7, 109])/128 - 
       (199*f[7, 110])/256 - (923*f[7, 111])/384 + (553*f[7, 112])/128 + 
       (371*f[7, 113])/384 + (139*f[7, 114])/96 + (833*f[7, 115])/768 + 
       (143*f[7, 116])/96 - (10535*f[7, 117])/192 - (401*f[7, 118])/768 + 
       (5353*f[7, 119])/768 + (519*f[7, 120])/128 - (365*f[7, 121])/128 + 
       (2941*f[7, 122])/384 + (339*f[7, 123])/128 - (11*f[7, 124])/2 - 
       (1753*f[7, 125])/384 + (1661*f[7, 126])/384 + f[7, 135]/16 - 
       f[7, 136]/8 + (79*f[7, 137])/32 + (299*f[7, 138])/128 - 
       (3*f[7, 146])/8 - (3*f[7, 147])/32 - (23*f[7, 148])/8 - 
       (855*f[7, 149])/128 - (437*f[7, 150])/96)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*SPw3f2[u, v] + (f[7, 35]/4 - f[7, 38] + f[7, 40]/4 - 
       (5*f[7, 52])/8 + f[7, 53]/4 - (9*f[7, 55])/8 - (11*f[7, 56])/16 - 
       (41*f[7, 57])/32 - f[7, 58]/8 + (11*f[7, 59])/24 - (63*f[7, 60])/64 - 
       (85*f[7, 61])/32 + (431*f[7, 62])/384 + (431*f[7, 63])/384 - 
       (431*f[7, 64])/384 + (35*f[7, 65])/32 - (51*f[7, 66])/16 - 
       (41*f[7, 67])/32 - (87*f[7, 68])/16 - (43*f[7, 69])/8 + 
       (61*f[7, 70])/32 - (61*f[7, 71])/32 + (83*f[7, 72])/16 - 
       (11*f[7, 73])/2 - (83*f[7, 74])/16 + (509*f[7, 75])/384 + 
       (49*f[7, 76])/8 - (505*f[7, 77])/64 + (21*f[7, 78])/16 + 
       (31*f[7, 79])/384 + (403*f[7, 80])/384 + (457*f[7, 81])/32 + 
       (1181*f[7, 82])/96 - (21*f[7, 83])/16 + (881*f[7, 84])/384 - 
       (2219*f[7, 85])/384 - (5237*f[7, 86])/384 - (2081*f[7, 87])/384 + 
       (1057*f[7, 88])/384 - (743*f[7, 89])/384 - (335*f[7, 90])/384 + 
       (493*f[7, 91])/96 - (513*f[7, 92])/128 - (1049*f[7, 93])/384 - 
       (113*f[7, 94])/128 - (1527*f[7, 95])/128 + (369*f[7, 96])/64 + 
       (97*f[7, 97])/192 + (145*f[7, 98])/192 - (145*f[7, 99])/24 - 
       (1471*f[7, 100])/24 - (3011*f[7, 101])/384 - (115*f[7, 102])/48 + 
       (299*f[7, 103])/192 + (569*f[7, 104])/384 + (1309*f[7, 105])/384 + 
       (1369*f[7, 106])/96 - (3887*f[7, 107])/96 + (2051*f[7, 108])/384 + 
       (173*f[7, 109])/128 + (109*f[7, 110])/64 - (1721*f[7, 111])/384 + 
       (1093*f[7, 112])/128 + (871*f[7, 113])/192 + (367*f[7, 114])/384 - 
       (155*f[7, 115])/384 + (455*f[7, 116])/384 - (13693*f[7, 117])/96 + 
       (155*f[7, 118])/96 + (985*f[7, 119])/48 + (731*f[7, 120])/128 - 
       (1063*f[7, 121])/128 + (6349*f[7, 122])/384 + (863*f[7, 123])/128 - 
       (959*f[7, 124])/64 - (5413*f[7, 125])/384 + (731*f[7, 126])/96 - 
       f[7, 136]/8 + (43*f[7, 137])/8 + (393*f[7, 138])/64 - f[7, 145]/2 + 
       (5*f[7, 146])/8 + (7*f[7, 147])/4 - (51*f[7, 148])/8 - 
       (491*f[7, 149])/32 - (2581*f[7, 150])/192)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*SPw3f2[u, v] + (-f[7, 13]/3 - f[7, 21]/6 + 
       (13*f[7, 26])/20 + (7*f[7, 27])/20 - f[7, 28]/5 - (23*f[7, 30])/48 + 
       (23*f[7, 31])/20 - (2*f[7, 32])/5 + f[7, 33]/20 - f[7, 35]/60 + 
       f[7, 36]/5 + (3*f[7, 37])/80 + (21*f[7, 38])/10 + f[7, 39]/5 + 
       (11*f[7, 40])/60 - f[7, 41]/10 - f[7, 42]/10 - (3*f[7, 43])/5 - 
       (6*f[7, 44])/5 - (17*f[7, 45])/60 - (47*f[7, 46])/60 + 
       (9*f[7, 47])/40 - (7*f[7, 48])/30 - (111*f[7, 49])/160 + 
       (25*f[7, 50])/96 - (251*f[7, 51])/480 + (5*f[7, 52])/12 + 
       (9*f[7, 53])/160 - (35*f[7, 54])/48 - (127*f[7, 55])/96 - 
       (3331*f[7, 56])/1920 + (299*f[7, 57])/256 + (1411*f[7, 58])/240 - 
       (3587*f[7, 59])/1440 - (4993*f[7, 60])/7680 - (201*f[7, 61])/256 - 
       (23171*f[7, 62])/5760 - (23171*f[7, 63])/5760 + 
       (23171*f[7, 64])/5760 - (34793*f[7, 65])/1280 + (19531*f[7, 66])/640 + 
       (46273*f[7, 67])/3840 + (59479*f[7, 68])/960 + (58673*f[7, 69])/960 - 
       (18627*f[7, 70])/1280 + (3751*f[7, 71])/256 - (7529*f[7, 72])/120 + 
       (29449*f[7, 73])/480 + (2467*f[7, 74])/40 + (19777*f[7, 75])/23040 - 
       (43375*f[7, 76])/512 + (144489*f[7, 77])/2560 - (11365*f[7, 78])/384 + 
       (654203*f[7, 79])/23040 + (139583*f[7, 80])/23040 - 
       (527*f[7, 81])/128 - (314339*f[7, 82])/1440 - (24223*f[7, 83])/192 - 
       (638207*f[7, 84])/23040 + (238117*f[7, 85])/2880 + 
       (4648103*f[7, 86])/23040 + (2131163*f[7, 87])/23040 - 
       (124763*f[7, 88])/4608 + (87353*f[7, 89])/5760 + 
       (104077*f[7, 90])/11520 - (57365*f[7, 91])/1152 + 
       (703441*f[7, 92])/7680 + (842857*f[7, 93])/11520 + 
       (14559*f[7, 94])/2560 + (1060897*f[7, 95])/7680 - 
       (28113*f[7, 96])/1280 - (133295*f[7, 97])/2304 - 
       (669931*f[7, 98])/11520 + (266195*f[7, 99])/4608 + 
       (489371*f[7, 100])/1152 + (247991*f[7, 101])/5760 + 
       (1194773*f[7, 102])/23040 + (136717*f[7, 103])/11520 + 
       (47113*f[7, 104])/2304 + (472583*f[7, 105])/23040 - 
       (671891*f[7, 106])/2880 + (171529*f[7, 107])/720 - 
       (142451*f[7, 108])/2304 - (47207*f[7, 109])/1280 + 
       (27337*f[7, 110])/1280 + (395969*f[7, 111])/5760 - 
       (384067*f[7, 112])/3840 - (468857*f[7, 113])/23040 - 
       (742183*f[7, 114])/23040 - (138089*f[7, 115])/11520 - 
       (127219*f[7, 116])/4608 + (7569337*f[7, 117])/5760 + 
       (137453*f[7, 118])/11520 - (3906053*f[7, 119])/23040 - 
       (67595*f[7, 120])/768 + (76133*f[7, 121])/1280 - 
       (1824419*f[7, 122])/11520 - (211997*f[7, 123])/3840 + 
       (36753*f[7, 124])/320 + (129313*f[7, 125])/1440 - 
       (1998749*f[7, 126])/23040 + f[7, 132]/15 - f[7, 134]/15 + 
       (23*f[7, 135])/60 - (1091*f[7, 136])/120 - (469*f[7, 137])/240 - 
       (13253*f[7, 138])/1920 - (14*f[7, 144])/15 - f[7, 145]/4 + 
       (931*f[7, 146])/30 + (2333*f[7, 147])/320 + (43279*f[7, 148])/320 + 
       (13049*f[7, 149])/40 + (135661*f[7, 150])/640)*HPL[{1}, 1 - v]^3*
      SPw3f2[u, v] + (-f[7, 43] - f[7, 47]/4 + f[7, 56]/16 + 
       (13*f[7, 57])/32 + f[7, 58]/2 - (23*f[7, 59])/24 + (7*f[7, 60])/64 + 
       f[7, 61]/32 + f[7, 62]/96 + f[7, 63]/96 - f[7, 64]/96 - 
       (39*f[7, 65])/32 + (23*f[7, 66])/16 + (15*f[7, 67])/32 + 
       (23*f[7, 68])/8 + (23*f[7, 69])/8 - (23*f[7, 70])/32 + 
       (23*f[7, 71])/32 - (23*f[7, 72])/8 + (23*f[7, 73])/8 + 
       (23*f[7, 74])/8 - (5*f[7, 75])/96 - (255*f[7, 76])/64 + 
       (191*f[7, 77])/64 - (23*f[7, 78])/16 + (137*f[7, 79])/96 + 
       (23*f[7, 80])/96 + (7*f[7, 81])/8 - (475*f[7, 82])/48 - 
       (47*f[7, 83])/8 - (131*f[7, 84])/96 + (715*f[7, 85])/192 + 
       (899*f[7, 86])/96 + (407*f[7, 87])/96 - (127*f[7, 88])/96 + 
       (53*f[7, 89])/96 + (181*f[7, 90])/192 + (13*f[7, 91])/48 + 
       (69*f[7, 92])/16 + (625*f[7, 93])/192 + (33*f[7, 94])/32 + 
       (209*f[7, 95])/32 - (31*f[7, 96])/32 - (275*f[7, 97])/96 - 
       (275*f[7, 98])/96 + (119*f[7, 99])/48 + (965*f[7, 100])/48 + 
       (53*f[7, 101])/24 + (97*f[7, 102])/48 + (5*f[7, 103])/6 + 
       (29*f[7, 104])/48 + (125*f[7, 105])/96 - (67*f[7, 106])/6 + 
       (281*f[7, 107])/24 - (233*f[7, 108])/96 - (41*f[7, 109])/32 + 
       (69*f[7, 110])/64 + (311*f[7, 111])/96 - (157*f[7, 112])/32 - 
       (31*f[7, 113])/48 - (109*f[7, 114])/96 - (83*f[7, 115])/192 - 
       (161*f[7, 116])/96 + (2867*f[7, 117])/48 + (383*f[7, 118])/192 - 
       (1501*f[7, 119])/192 - (161*f[7, 120])/32 + (91*f[7, 121])/32 - 
       (739*f[7, 122])/96 - (81*f[7, 123])/32 + (43*f[7, 124])/8 + 
       (397*f[7, 125])/96 - (107*f[7, 126])/24 + f[7, 136]/4 - 
       (23*f[7, 137])/8 - (85*f[7, 138])/32 + f[7, 146]/2 + 
       (51*f[7, 148])/16 + (243*f[7, 149])/32 + (199*f[7, 150])/48)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*SPw3f2[u, v] + 
     (f[7, 44] + f[7, 47]/4 - f[7, 52]/2 - (3*f[7, 56])/8 + f[7, 57]/16 + 
       f[7, 58]/2 + f[7, 59]/4 - (5*f[7, 60])/32 - (11*f[7, 61])/16 - 
       (5*f[7, 62])/32 - (5*f[7, 63])/32 + (5*f[7, 64])/32 - 
       (15*f[7, 65])/16 + (5*f[7, 66])/8 + f[7, 67]/16 + (5*f[7, 68])/4 + 
       (5*f[7, 69])/4 - (5*f[7, 70])/16 + (5*f[7, 71])/16 - (5*f[7, 72])/4 + 
       (7*f[7, 73])/4 + (5*f[7, 74])/4 + (3*f[7, 75])/8 - (63*f[7, 76])/32 + 
       (19*f[7, 77])/32 - (5*f[7, 78])/8 + (15*f[7, 79])/16 + f[7, 80]/2 + 
       3*f[7, 81] - (37*f[7, 82])/8 - (13*f[7, 83])/4 - (9*f[7, 84])/16 + 
       (51*f[7, 85])/32 + (33*f[7, 86])/8 + (17*f[7, 87])/8 - 
       (5*f[7, 88])/16 + (17*f[7, 89])/32 + (3*f[7, 90])/32 - f[7, 91] + 
       (9*f[7, 92])/4 + (41*f[7, 93])/32 - (13*f[7, 94])/16 + 
       (35*f[7, 95])/16 - (13*f[7, 97])/8 - (13*f[7, 98])/8 + 
       (37*f[7, 99])/32 + (53*f[7, 100])/8 + (11*f[7, 101])/32 + 
       (53*f[7, 102])/32 + (3*f[7, 103])/16 + (35*f[7, 104])/32 + 
       (5*f[7, 105])/4 - (51*f[7, 106])/8 + (21*f[7, 107])/8 - 
       (59*f[7, 108])/32 - (71*f[7, 109])/32 + (3*f[7, 110])/2 + 
       (43*f[7, 111])/32 - (45*f[7, 112])/32 + f[7, 113]/32 - 
       (13*f[7, 114])/8 - (43*f[7, 115])/32 + 26*f[7, 117] - f[7, 118]/8 - 
       (111*f[7, 119])/32 - (69*f[7, 120])/32 + (21*f[7, 121])/32 - 
       (77*f[7, 122])/32 - (17*f[7, 123])/32 + (19*f[7, 124])/16 + 
       (27*f[7, 125])/32 - (33*f[7, 126])/32 + f[7, 136]/4 - 
       (5*f[7, 137])/4 - (11*f[7, 138])/16 + f[7, 146]/2 + 
       (17*f[7, 148])/16 + (51*f[7, 149])/16 + (9*f[7, 150])/8)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*SPw3f2[u, v] + 
     (f[7, 11] - f[7, 14] + f[7, 24]/2 + f[7, 25]/4 - (4*f[7, 26])/5 + 
       (4*f[7, 27])/5 + (2*f[7, 28])/5 + f[7, 29]/4 - (24*f[7, 31])/5 + 
       (4*f[7, 32])/5 + (72*f[7, 33])/5 - (7*f[7, 34])/8 - (4*f[7, 35])/5 - 
       (2*f[7, 36])/5 + f[7, 37]/20 - (16*f[7, 38])/5 - (12*f[7, 39])/5 - 
       (16*f[7, 40])/5 + f[7, 41]/5 - (4*f[7, 42])/5 + (17*f[7, 43])/10 + 
       (9*f[7, 44])/10 + (23*f[7, 45])/20 + (23*f[7, 46])/20 + f[7, 47]/20 - 
       (111*f[7, 48])/80 + (221*f[7, 49])/80 - (15*f[7, 50])/2 + 
       (127*f[7, 51])/80 + (3*f[7, 52])/8 - (257*f[7, 53])/40 + 
       (37*f[7, 54])/16 - (25*f[7, 55])/8 + (897*f[7, 56])/320 + 
       (567*f[7, 57])/128 - (453*f[7, 58])/10 - (139*f[7, 59])/160 + 
       (2361*f[7, 60])/1280 + (1051*f[7, 61])/128 + (10803*f[7, 62])/640 + 
       (10803*f[7, 63])/640 - (10803*f[7, 64])/640 + (21703*f[7, 65])/640 - 
       (7631*f[7, 66])/320 + (7849*f[7, 67])/640 - (6183*f[7, 68])/160 - 
       (6391*f[7, 69])/160 + (4687*f[7, 70])/640 - (963*f[7, 71])/128 + 
       (5679*f[7, 72])/160 - (5821*f[7, 73])/160 - (5911*f[7, 74])/160 + 
       (3989*f[7, 75])/160 + (10631*f[7, 76])/256 - (35559*f[7, 77])/1280 + 
       (1123*f[7, 78])/64 - (753*f[7, 79])/20 + (587*f[7, 80])/320 - 
       (1885*f[7, 81])/8 + (39179*f[7, 82])/320 + (5023*f[7, 83])/32 + 
       (7827*f[7, 84])/320 - (39259*f[7, 85])/1280 - (26743*f[7, 86])/320 - 
       (10103*f[7, 87])/320 + (1381*f[7, 88])/64 - (17769*f[7, 89])/640 - 
       (25761*f[7, 90])/1280 + (12809*f[7, 91])/64 - (41441*f[7, 92])/640 - 
       (54901*f[7, 93])/1280 + (6691*f[7, 94])/80 - (24651*f[7, 95])/320 + 
       (29543*f[7, 96])/640 + (3701*f[7, 97])/128 + (17769*f[7, 98])/640 - 
       (2841*f[7, 99])/128 - (19527*f[7, 100])/64 - (579*f[7, 101])/20 - 
       (85521*f[7, 102])/640 + (3541*f[7, 103])/320 - (7619*f[7, 104])/64 + 
       (711*f[7, 105])/160 + (1282*f[7, 106])/5 - (25329*f[7, 107])/160 + 
       (11435*f[7, 108])/128 + (60937*f[7, 109])/640 - 
       (23299*f[7, 110])/1280 - (3147*f[7, 111])/640 + 
       (24769*f[7, 112])/640 + (34969*f[7, 113])/640 + (4337*f[7, 114])/80 + 
       (125247*f[7, 115])/1280 - (249*f[7, 116])/16 - 
       (359653*f[7, 117])/320 + (42601*f[7, 118])/1280 + 
       (201607*f[7, 119])/1280 + (10497*f[7, 120])/128 - 
       (47123*f[7, 121])/640 + (105921*f[7, 122])/640 + 
       (27849*f[7, 123])/640 - (18663*f[7, 124])/160 - 
       (87301*f[7, 125])/640 + (38473*f[7, 126])/640 + (4*f[7, 132])/5 - 
       (7*f[7, 133])/8 - (4*f[7, 134])/5 + (123*f[7, 135])/80 - 
       (3393*f[7, 136])/80 + (27043*f[7, 137])/160 + (99863*f[7, 138])/640 - 
       2*f[7, 144] + (3*f[7, 145])/2 - (39*f[7, 146])/4 - 
       (581*f[7, 147])/32 + (417*f[7, 148])/4 + (34725*f[7, 149])/128 + 
       (5641*f[7, 150])/48)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*SPw3f2[u, v] + 
     (-f[7, 25] - f[7, 29] + 2*f[7, 42] + 2*f[7, 45] + 2*f[7, 46] - 
       (5*f[7, 47])/4 - f[7, 49]/2 + 3*f[7, 50] - f[7, 51] - 
       (11*f[7, 52])/2 + 4*f[7, 53] - f[7, 54] + 5*f[7, 55] + 
       (19*f[7, 56])/16 + (131*f[7, 57])/32 + 19*f[7, 58] - 
       (119*f[7, 59])/24 + (169*f[7, 60])/64 + (47*f[7, 61])/32 - 
       (13*f[7, 62])/12 - (13*f[7, 63])/12 + (13*f[7, 64])/12 + 
       (647*f[7, 65])/32 - (311*f[7, 66])/16 - (647*f[7, 67])/32 - 
       (419*f[7, 68])/8 - (399*f[7, 69])/8 + (383*f[7, 70])/32 - 
       (383*f[7, 71])/32 + (443*f[7, 72])/8 - (379*f[7, 73])/8 - 
       (411*f[7, 74])/8 - (2117*f[7, 75])/96 + (5175*f[7, 76])/64 - 
       (3199*f[7, 77])/64 + (399*f[7, 78])/16 - (841*f[7, 79])/96 - 
       (13*f[7, 80])/96 + (1281*f[7, 81])/8 + (8339*f[7, 82])/48 + 
       (435*f[7, 83])/8 + (1315*f[7, 84])/96 - (14543*f[7, 85])/192 - 
       (18973*f[7, 86])/96 - (8917*f[7, 87])/96 + (1391*f[7, 88])/96 - 
       (197*f[7, 89])/48 + (2083*f[7, 90])/192 - (1403*f[7, 91])/48 - 
       (1003*f[7, 92])/16 - (12509*f[7, 93])/192 - (1453*f[7, 94])/32 - 
       (3805*f[7, 95])/32 + (61*f[7, 96])/32 + (4105*f[7, 97])/96 + 
       (3913*f[7, 98])/96 - (5213*f[7, 99])/96 - (15817*f[7, 100])/48 - 
       (3313*f[7, 101])/96 + (731*f[7, 102])/96 - (887*f[7, 103])/48 + 
       (3577*f[7, 104])/96 - (1387*f[7, 105])/96 + (2387*f[7, 106])/24 - 
       (2303*f[7, 107])/12 + (71*f[7, 108])/3 - (213*f[7, 109])/16 + 
       (5*f[7, 110])/64 - (3689*f[7, 111])/48 + (685*f[7, 112])/8 + 
       (799*f[7, 113])/96 + (1007*f[7, 114])/96 - (9881*f[7, 115])/192 + 
       (3187*f[7, 116])/96 - (42949*f[7, 117])/48 - (5641*f[7, 118])/192 + 
       (21269*f[7, 119])/192 + (201*f[7, 120])/4 - (341*f[7, 121])/16 + 
       (1655*f[7, 122])/24 + (129*f[7, 123])/4 - (873*f[7, 124])/16 - 
       (437*f[7, 125])/24 + (5155*f[7, 126])/96 + (3*f[7, 133])/2 - 
       f[7, 135]/4 + (21*f[7, 136])/4 + (455*f[7, 137])/4 + 
       (1817*f[7, 138])/16 + 5*f[7, 145] + (45*f[7, 146])/2 + 
       (75*f[7, 147])/8 + (145*f[7, 148])/8 + 25*f[7, 149] + 
       (2153*f[7, 150])/24)*HPL[{0, 0, 1}, 1 - v]*SPw3f2[u, v] + 
     (-2*f[7, 32] - f[7, 37]/2 + 4*f[7, 38] - 2*f[7, 43] - 6*f[7, 44] - 
       2*f[7, 46] - (13*f[7, 49])/4 + (7*f[7, 50])/2 - f[7, 51] - f[7, 52] + 
       f[7, 53] - 2*f[7, 54] + (3*f[7, 55])/2 - 8*f[7, 56] + 10*f[7, 57] + 
       71*f[7, 58] - (203*f[7, 59])/24 - (15*f[7, 60])/4 - (5*f[7, 61])/2 - 
       (97*f[7, 62])/3 - (97*f[7, 63])/3 + (97*f[7, 64])/3 - 
       (277*f[7, 65])/4 + (313*f[7, 66])/4 + (19*f[7, 67])/8 + 
       (603*f[7, 68])/4 + (301*f[7, 69])/2 - (289*f[7, 70])/8 + 
       (289*f[7, 71])/8 - (301*f[7, 72])/2 + (601*f[7, 73])/4 + 
       (299*f[7, 74])/2 - (2675*f[7, 75])/96 - (3203*f[7, 76])/16 + 
       (1211*f[7, 77])/8 - (287*f[7, 78])/4 + (8081*f[7, 79])/96 - 
       (193*f[7, 80])/96 + (839*f[7, 81])/4 - (11669*f[7, 82])/24 - 
       (653*f[7, 83])/2 - (7097*f[7, 84])/96 + (16235*f[7, 85])/96 + 
       (42827*f[7, 86])/96 + (18911*f[7, 87])/96 - (6601*f[7, 88])/96 + 
       (1385*f[7, 89])/24 + (2861*f[7, 90])/96 - (1169*f[7, 91])/3 + 
       (7245*f[7, 92])/32 + (14375*f[7, 93])/96 - (3503*f[7, 94])/32 + 
       (10523*f[7, 95])/32 - (811*f[7, 96])/8 - (2543*f[7, 97])/24 - 
       (2519*f[7, 98])/24 + (12199*f[7, 99])/96 + (14831*f[7, 100])/12 + 
       (6499*f[7, 101])/48 + (24569*f[7, 102])/96 - (311*f[7, 103])/48 + 
       (1069*f[7, 104])/6 + (1313*f[7, 105])/96 - (16405*f[7, 106])/24 + 
       (4229*f[7, 107])/6 - (10351*f[7, 108])/48 - (2609*f[7, 109])/16 + 
       (1373*f[7, 110])/32 + (2615*f[7, 111])/24 - (1689*f[7, 112])/8 - 
       (11927*f[7, 113])/96 - (11677*f[7, 114])/96 - (12451*f[7, 115])/96 - 
       (2825*f[7, 116])/96 + (11297*f[7, 117])/3 - (3623*f[7, 118])/96 - 
       (6163*f[7, 119])/12 - (1885*f[7, 120])/8 + (3091*f[7, 121])/16 - 
       (22415*f[7, 122])/48 - (2255*f[7, 123])/16 + (2671*f[7, 124])/8 + 
       (1969*f[7, 125])/6 - (21131*f[7, 126])/96 + (143*f[7, 136])/4 - 
       (297*f[7, 137])/2 - (1167*f[7, 138])/8 + 2*f[7, 145] + 69*f[7, 146] + 
       (47*f[7, 147])/2 + (2933*f[7, 148])/16 + (1581*f[7, 149])/4 + 
       (15427*f[7, 150])/48)*HPL[{0, 1, 1}, 1 - u]*SPw3f2[u, v] + 
     (-f[7, 22]/2 + 2*f[7, 24] + f[7, 30]/2 + f[7, 34]/2 + f[7, 39] + 
       f[7, 40] + f[7, 43] + 2*f[7, 44] + 2*f[7, 48] + (3*f[7, 49])/4 + 
       2*f[7, 50] + f[7, 51]/2 + (3*f[7, 52])/2 + 2*f[7, 53] + f[7, 54]/2 + 
       2*f[7, 55] + (7*f[7, 56])/16 - (121*f[7, 57])/32 - 9*f[7, 58] + 
       (53*f[7, 59])/12 - (11*f[7, 60])/64 - (109*f[7, 61])/32 + 
       (319*f[7, 62])/96 + (319*f[7, 63])/96 - (319*f[7, 64])/96 + 
       (723*f[7, 65])/32 - (479*f[7, 66])/16 - (343*f[7, 67])/32 - 
       (509*f[7, 68])/8 - (503*f[7, 69])/8 + (527*f[7, 70])/32 - 
       (527*f[7, 71])/32 + (523*f[7, 72])/8 - (503*f[7, 73])/8 - 
       (509*f[7, 74])/8 - (241*f[7, 75])/48 + (5751*f[7, 76])/64 - 
       (3731*f[7, 77])/64 + (503*f[7, 78])/16 - (359*f[7, 79])/12 - 
       (161*f[7, 80])/48 + (189*f[7, 81])/8 + (11189*f[7, 82])/48 + 
       (1075*f[7, 83])/8 + (1241*f[7, 84])/48 - (16649*f[7, 85])/192 - 
       (5269*f[7, 86])/24 - (1229*f[7, 87])/12 + (1255*f[7, 88])/48 - 
       (1441*f[7, 89])/96 - (863*f[7, 90])/192 + (4087*f[7, 91])/48 - 
       (3163*f[7, 92])/32 - (14963*f[7, 93])/192 + (15*f[7, 94])/16 - 
       (2329*f[7, 95])/16 + (571*f[7, 96])/32 + (4891*f[7, 97])/96 + 
       (4891*f[7, 98])/96 - (5531*f[7, 99])/96 - (21793*f[7, 100])/48 - 
       (1111*f[7, 101])/24 - (6031*f[7, 102])/96 - (217*f[7, 103])/24 - 
       (1417*f[7, 104])/48 - (547*f[7, 105])/24 + (5549*f[7, 106])/24 - 
       (5845*f[7, 107])/24 + (6007*f[7, 108])/96 + (1035*f[7, 109])/32 - 
       (1651*f[7, 110])/64 - (6811*f[7, 111])/96 + (3257*f[7, 112])/32 + 
       (2599*f[7, 113])/96 + (803*f[7, 114])/24 + (517*f[7, 115])/192 + 
       (721*f[7, 116])/24 - (64159*f[7, 117])/48 - (1717*f[7, 118])/192 + 
       (33341*f[7, 119])/192 + (2693*f[7, 120])/32 - (1797*f[7, 121])/32 + 
       (14621*f[7, 122])/96 + (1675*f[7, 123])/32 - (217*f[7, 124])/2 - 
       (8081*f[7, 125])/96 + (8269*f[7, 126])/96 + f[7, 133]/2 + f[7, 134] + 
       f[7, 135]/2 - (15*f[7, 136])/4 + (527*f[7, 137])/8 + 
       (1965*f[7, 138])/32 + 2*f[7, 144] + f[7, 145] - 9*f[7, 146] + 
       f[7, 147]/4 - (581*f[7, 148])/8 - (5407*f[7, 149])/32 - 
       (1855*f[7, 150])/24)*HPL[{0, 1, 1}, 1 - v]*SPw3f2[u, v] + 
     (-f[7, 35]/2 - 2*f[7, 38] - f[7, 40]/2 + f[7, 49]/2 - f[7, 51]/2 + 
       (5*f[7, 52])/4 - (3*f[7, 53])/2 - f[7, 54] + (7*f[7, 55])/4 + 
       (11*f[7, 56])/8 + (41*f[7, 57])/16 - (11*f[7, 58])/4 - 
       (5*f[7, 59])/2 + (79*f[7, 60])/32 + (101*f[7, 61])/16 - 
       (73*f[7, 62])/64 - (73*f[7, 63])/64 + (73*f[7, 64])/64 + 
       (137*f[7, 65])/16 - (39*f[7, 66])/8 - (33*f[7, 67])/16 - 
       (47*f[7, 68])/8 - (23*f[7, 69])/4 + (5*f[7, 70])/16 - 
       (5*f[7, 71])/16 + (43*f[7, 72])/8 - (17*f[7, 73])/4 - 
       (43*f[7, 74])/8 - (109*f[7, 75])/64 + (93*f[7, 76])/16 + 
       (141*f[7, 77])/32 + (17*f[7, 78])/8 - (571*f[7, 79])/64 - 
       (391*f[7, 80])/64 - (679*f[7, 81])/16 + (643*f[7, 82])/16 + 
       (463*f[7, 83])/8 + (235*f[7, 84])/64 - (721*f[7, 85])/64 - 
       (1203*f[7, 86])/64 - (663*f[7, 87])/64 + (155*f[7, 88])/64 - 
       (175*f[7, 89])/64 - (193*f[7, 90])/64 + (117*f[7, 91])/16 - 
       (989*f[7, 92])/64 - (1231*f[7, 93])/64 + (403*f[7, 94])/64 - 
       (575*f[7, 95])/64 - (181*f[7, 96])/32 + (421*f[7, 97])/32 + 
       (437*f[7, 98])/32 - (115*f[7, 99])/32 + (35*f[7, 100])/2 + 
       (457*f[7, 101])/64 - (489*f[7, 102])/32 - (171*f[7, 103])/32 - 
       (943*f[7, 104])/64 - (909*f[7, 105])/64 + (673*f[7, 106])/16 + 
       (457*f[7, 107])/16 + (511*f[7, 108])/64 + (1035*f[7, 109])/64 - 
       (25*f[7, 110])/2 - (673*f[7, 111])/64 + (519*f[7, 112])/64 - 
       (121*f[7, 113])/16 + (537*f[7, 114])/64 + (699*f[7, 115])/64 + 
       (9*f[7, 116])/64 - (957*f[7, 117])/16 - (91*f[7, 118])/32 + 
       (15*f[7, 119])/8 + (837*f[7, 120])/64 - (33*f[7, 121])/64 + 
       (713*f[7, 122])/64 + (169*f[7, 123])/64 - (89*f[7, 124])/32 + 
       (139*f[7, 125])/64 + (173*f[7, 126])/32 + (3*f[7, 136])/4 + 
       (95*f[7, 137])/8 + (19*f[7, 138])/4 + f[7, 145] - (33*f[7, 146])/4 - 
       (13*f[7, 147])/2 + (31*f[7, 148])/8 + (119*f[7, 149])/32 - 
       (137*f[7, 150])/96)*HPL[{1}, 1 - v]*SPw2f1[u, v]*SPw3f2[u, v] + 
     (-2*f[7, 24] + f[7, 34]/2 - 2*f[7, 43] - 2*f[7, 44] - f[7, 45] - 
       f[7, 46] - f[7, 47]/4 + f[7, 48]/4 - (7*f[7, 49])/4 + 2*f[7, 50] - 
       (5*f[7, 51])/4 + f[7, 52] + (3*f[7, 53])/2 - (9*f[7, 54])/4 + 
       (7*f[7, 55])/2 - (5*f[7, 56])/4 + (41*f[7, 57])/16 + 8*f[7, 58] + 
       (23*f[7, 59])/12 + (3*f[7, 60])/32 - (7*f[7, 61])/16 - 
       (533*f[7, 62])/96 - (533*f[7, 63])/96 + (533*f[7, 64])/96 - 
       (123*f[7, 65])/16 + (55*f[7, 66])/8 - (37*f[7, 67])/16 + 
       (37*f[7, 68])/4 + (39*f[7, 69])/4 - (35*f[7, 70])/16 + 
       (35*f[7, 71])/16 - (35*f[7, 72])/4 + (17*f[7, 73])/2 + 
       (35*f[7, 74])/4 - (725*f[7, 75])/96 - (381*f[7, 76])/32 + 
       (555*f[7, 77])/32 - (39*f[7, 78])/8 + (833*f[7, 79])/96 + 
       (143*f[7, 80])/96 + (343*f[7, 81])/8 - (73*f[7, 82])/3 - 
       (59*f[7, 83])/2 - (677*f[7, 84])/96 + (367*f[7, 85])/48 + 
       (1841*f[7, 86])/96 + (605*f[7, 87])/96 - (517*f[7, 88])/96 + 
       (665*f[7, 89])/96 + (185*f[7, 90])/24 - (245*f[7, 91])/12 + 
       (445*f[7, 92])/32 + (137*f[7, 93])/24 - (343*f[7, 94])/32 + 
       (691*f[7, 95])/32 - (69*f[7, 96])/4 - (173*f[7, 97])/24 - 
       (149*f[7, 98])/24 + (293*f[7, 99])/48 + (2761*f[7, 100])/24 + 
       (1577*f[7, 101])/96 + (1075*f[7, 102])/48 - (5*f[7, 103])/3 + 
       (1885*f[7, 104])/96 - (457*f[7, 105])/96 - (1489*f[7, 106])/24 + 
       (1985*f[7, 107])/24 - (2321*f[7, 108])/96 - (807*f[7, 109])/32 - 
       (31*f[7, 110])/32 + (71*f[7, 111])/96 - (371*f[7, 112])/32 - 
       (469*f[7, 113])/48 - (1303*f[7, 114])/96 - (1217*f[7, 115])/48 + 
       (337*f[7, 116])/96 + (4481*f[7, 117])/12 - (665*f[7, 118])/96 - 
       (5189*f[7, 119])/96 - (697*f[7, 120])/32 + (697*f[7, 121])/32 - 
       (4255*f[7, 122])/96 - (461*f[7, 123])/32 + (579*f[7, 124])/16 + 
       (3679*f[7, 125])/96 - (715*f[7, 126])/48 + (3*f[7, 133])/2 - 
       f[7, 135]/4 + (53*f[7, 136])/4 + (117*f[7, 137])/2 + 
       (803*f[7, 138])/16 - 3*f[7, 145] - 12*f[7, 146] - (115*f[7, 147])/8 + 
       (589*f[7, 148])/8 + (791*f[7, 149])/4 + (3055*f[7, 150])/48)*
      SPw3f1[u, v]*SPw3f2[u, v] + (-f[7, 35]/4 + f[7, 38] - f[7, 40]/4 - 
       f[7, 46]/2 - f[7, 47]/8 - f[7, 48]/4 + f[7, 49]/4 + f[7, 50]/2 - 
       (3*f[7, 51])/8 + (3*f[7, 52])/8 - f[7, 53]/4 - (5*f[7, 54])/8 + 
       (13*f[7, 55])/8 + (13*f[7, 56])/16 + (29*f[7, 57])/16 + 
       (11*f[7, 58])/8 - (53*f[7, 59])/24 + (49*f[7, 60])/32 + 
       (55*f[7, 61])/16 - (617*f[7, 62])/384 - (617*f[7, 63])/384 + 
       (617*f[7, 64])/384 - (7*f[7, 65])/16 + (19*f[7, 66])/8 - 
       (3*f[7, 67])/8 + (61*f[7, 68])/16 + (15*f[7, 69])/4 - (9*f[7, 70])/8 + 
       (9*f[7, 71])/8 - (45*f[7, 72])/16 + (33*f[7, 73])/8 + 
       (53*f[7, 74])/16 - (1517*f[7, 75])/384 - (175*f[7, 76])/64 + 
       (13*f[7, 77])/2 - f[7, 78] + (269*f[7, 79])/384 - (115*f[7, 80])/384 - 
       (21*f[7, 81])/32 - (899*f[7, 82])/96 + (19*f[7, 83])/16 - 
       (1061*f[7, 84])/384 + (1397*f[7, 85])/384 + (2237*f[7, 86])/384 + 
       (473*f[7, 87])/384 - (1237*f[7, 88])/384 + (785*f[7, 89])/384 + 
       (1193*f[7, 90])/384 - (985*f[7, 91])/96 + (537*f[7, 92])/128 + 
       (119*f[7, 93])/384 - (155*f[7, 94])/128 + (1163*f[7, 95])/128 - 
       (489*f[7, 96])/64 + (119*f[7, 97])/192 + (167*f[7, 98])/192 + 
       (821*f[7, 99])/192 + (2537*f[7, 100])/48 + (2657*f[7, 101])/384 + 
       (901*f[7, 102])/192 - (473*f[7, 103])/192 + (877*f[7, 104])/384 - 
       (1717*f[7, 105])/384 - (1819*f[7, 106])/96 + (3593*f[7, 107])/96 - 
       (2705*f[7, 108])/384 - (631*f[7, 109])/128 - (71*f[7, 110])/64 + 
       (359*f[7, 111])/384 - (851*f[7, 112])/128 - (407*f[7, 113])/96 - 
       (631*f[7, 114])/384 - (2095*f[7, 115])/384 + f[7, 116]/384 + 
       (12721*f[7, 117])/96 - (169*f[7, 118])/48 - (3721*f[7, 119])/192 - 
       (777*f[7, 120])/128 + (1341*f[7, 121])/128 - (7855*f[7, 122])/384 - 
       (973*f[7, 123])/128 + (1169*f[7, 124])/64 + (7315*f[7, 125])/384 - 
       (1543*f[7, 126])/192 - f[7, 135]/4 + (7*f[7, 136])/8 - 
       (131*f[7, 137])/16 - (255*f[7, 138])/32 + f[7, 145]/2 - f[7, 146]/8 - 
       (5*f[7, 147])/8 - (15*f[7, 148])/32 - (179*f[7, 149])/64 + 
       (1997*f[7, 150])/192)*SPw3f2[u, v]^2 - 
     (f[7, 55]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*SPw3f2[v, u])/2 + 
     (-f[7, 135]/16 + f[7, 136]/8 - (25*f[7, 137])/4 - (317*f[7, 138])/64 - 
       f[7, 145]/2 + f[7, 146]/4 + (31*f[7, 147])/32 - (385*f[7, 148])/64 - 
       (583*f[7, 149])/32 - (565*f[7, 150])/48)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*SPw3f2[v, u] + (-f[7, 13]/3 + (7*f[7, 26])/12 + 
       (5*f[7, 27])/12 + f[7, 28]/12 - (11*f[7, 30])/24 + (13*f[7, 31])/12 + 
       f[7, 32]/6 + f[7, 33]/4 - f[7, 35]/4 - f[7, 36]/12 + (7*f[7, 37])/48 + 
       (5*f[7, 38])/6 - f[7, 39]/12 - f[7, 40]/3 + f[7, 41]/24 + 
       f[7, 42]/24 + f[7, 43]/4 + f[7, 44]/2 - f[7, 45]/6 - (2*f[7, 46])/3 + 
       f[7, 47]/12 - f[7, 48]/4 + (27*f[7, 49])/32 + (29*f[7, 50])/96 - 
       (49*f[7, 51])/96 + f[7, 52]/2 - (29*f[7, 53])/96 - (47*f[7, 54])/48 + 
       (61*f[7, 55])/96 + (287*f[7, 56])/384 + (13*f[7, 57])/256 - 
       (137*f[7, 58])/16 - (35*f[7, 59])/32 + (2405*f[7, 60])/1536 + 
       (2083*f[7, 61])/768 + (49*f[7, 62])/32 + (49*f[7, 63])/32 - 
       (49*f[7, 64])/32 + (4175*f[7, 65])/768 - (395*f[7, 66])/128 + 
       (1471*f[7, 67])/768 - (955*f[7, 68])/192 - (1105*f[7, 69])/192 + 
       (745*f[7, 70])/768 - (259*f[7, 71])/256 + (535*f[7, 72])/96 - 
       (235*f[7, 73])/48 - (533*f[7, 74])/96 + (1543*f[7, 75])/1536 + 
       (12809*f[7, 76])/1536 - (1941*f[7, 77])/512 + (673*f[7, 78])/384 - 
       (10195*f[7, 79])/1536 + (1289*f[7, 80])/1536 - (14561*f[7, 81])/384 + 
       (2209*f[7, 82])/192 + (5659*f[7, 83])/192 + (4271*f[7, 84])/1536 - 
       (1195*f[7, 85])/768 - (23543*f[7, 86])/1536 - (11755*f[7, 87])/1536 + 
       (845*f[7, 88])/512 - (151*f[7, 89])/48 - (569*f[7, 90])/384 + 
       (9259*f[7, 91])/384 - (3885*f[7, 92])/512 - (991*f[7, 93])/128 + 
       (7931*f[7, 94])/512 - (13811*f[7, 95])/1536 + (2375*f[7, 96])/768 + 
       (983*f[7, 97])/256 + (3269*f[7, 98])/768 - (897*f[7, 99])/512 - 
       (4591*f[7, 100])/128 - (1585*f[7, 101])/384 - (11227*f[7, 102])/512 + 
       (959*f[7, 103])/768 - (5427*f[7, 104])/256 - (6287*f[7, 105])/1536 + 
       (6701*f[7, 106])/192 - (519*f[7, 107])/32 + (2867*f[7, 108])/256 + 
       (9253*f[7, 109])/768 - (373*f[7, 110])/192 - (61*f[7, 111])/192 + 
       (2911*f[7, 112])/768 + (12725*f[7, 113])/1536 + (4629*f[7, 114])/512 + 
       (2461*f[7, 115])/192 - (1337*f[7, 116])/1536 - (54331*f[7, 117])/384 + 
       (263*f[7, 118])/96 + (31811*f[7, 119])/1536 + (9575*f[7, 120])/768 - 
       (1557*f[7, 121])/256 + (13433*f[7, 122])/768 + (1517*f[7, 123])/768 - 
       (1499*f[7, 124])/192 - (4355*f[7, 125])/384 + (3867*f[7, 126])/512 + 
       (7*f[7, 132])/12 - (7*f[7, 134])/12 + (17*f[7, 135])/24 - 
       (333*f[7, 136])/16 + (1073*f[7, 137])/12 + (31085*f[7, 138])/384 - 
       (5*f[7, 144])/6 + (7*f[7, 145])/6 + (295*f[7, 146])/12 + 
       (395*f[7, 147])/64 + (18113*f[7, 148])/192 + (13963*f[7, 149])/64 + 
       (63067*f[7, 150])/384)*HPL[{1}, 1 - v]^3*SPw3f2[v, u] + 
     ((-3*f[7, 56])/4 + (5*f[7, 57])/4 - (9*f[7, 58])/2 + f[7, 59]/4 - 
       (3*f[7, 60])/8 - (9*f[7, 61])/4 + (49*f[7, 62])/32 + 
       (49*f[7, 63])/32 - (49*f[7, 64])/32 - (9*f[7, 65])/4 + 
       (3*f[7, 66])/2 + 3*f[7, 67] + 3*f[7, 68] + 3*f[7, 69] - 
       (3*f[7, 70])/4 + (3*f[7, 71])/4 - 3*f[7, 72] + 3*f[7, 73] + 
       3*f[7, 74] + 4*f[7, 75] - (45*f[7, 76])/8 + (21*f[7, 77])/8 - 
       (3*f[7, 78])/2 + (9*f[7, 79])/8 + (51*f[7, 80])/16 - (55*f[7, 81])/4 - 
       (63*f[7, 82])/4 - (45*f[7, 83])/4 - (11*f[7, 84])/8 + 
       (57*f[7, 85])/8 + (115*f[7, 86])/8 + (63*f[7, 87])/8 - f[7, 88]/8 - 
       (25*f[7, 89])/32 + (3*f[7, 90])/4 + (241*f[7, 91])/8 + 
       (69*f[7, 92])/16 + (57*f[7, 93])/8 + (91*f[7, 94])/8 + 
       (13*f[7, 95])/2 + (57*f[7, 96])/16 - (133*f[7, 97])/16 - 
       (133*f[7, 98])/16 + (131*f[7, 99])/32 + (17*f[7, 100])/4 - 
       f[7, 101]/32 - (297*f[7, 102])/32 + (73*f[7, 103])/16 - 
       (321*f[7, 104])/32 + (111*f[7, 105])/16 - (45*f[7, 106])/8 + 
       (23*f[7, 107])/8 + (67*f[7, 108])/32 + (51*f[7, 109])/32 + 
       (73*f[7, 110])/32 + (289*f[7, 111])/32 - (229*f[7, 112])/32 + 
       (261*f[7, 113])/32 + f[7, 114]/16 + (83*f[7, 115])/16 - 
       (61*f[7, 116])/16 + (247*f[7, 117])/8 + (239*f[7, 118])/32 - 
       (7*f[7, 119])/4 - (151*f[7, 120])/32 - (85*f[7, 121])/32 + 
       (49*f[7, 122])/32 - (19*f[7, 123])/32 - (33*f[7, 124])/16 - 
       (283*f[7, 125])/32 - (61*f[7, 126])/32 - (5*f[7, 136])/4 - 
       7*f[7, 137] - (69*f[7, 138])/16 - (13*f[7, 146])/2 - 
       (15*f[7, 147])/4 - (19*f[7, 148])/4 - (7*f[7, 149])/4 - 
       (683*f[7, 150])/48)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*SPw3f2[v, u] + 
     (f[7, 11] - f[7, 14] + f[7, 24]/2 + f[7, 25]/4 - (4*f[7, 26])/5 - 
       (6*f[7, 27])/5 + (2*f[7, 28])/5 + f[7, 29]/4 + f[7, 30]/2 - 
       (24*f[7, 31])/5 - f[7, 32]/5 + (72*f[7, 33])/5 - (9*f[7, 34])/8 - 
       (4*f[7, 35])/5 + (3*f[7, 36])/5 + f[7, 37]/20 - (16*f[7, 38])/5 - 
       (22*f[7, 39])/5 - (11*f[7, 40])/5 + (9*f[7, 41])/20 - 
       (11*f[7, 42])/20 + (7*f[7, 43])/10 - f[7, 44]/10 + (13*f[7, 45])/20 + 
       (53*f[7, 46])/20 + (3*f[7, 47])/10 - (211*f[7, 48])/80 + 
       (231*f[7, 49])/80 - (13*f[7, 50])/2 + (77*f[7, 51])/80 + 
       (13*f[7, 52])/8 - (267*f[7, 53])/40 + (23*f[7, 54])/16 - 
       (39*f[7, 55])/8 + (147*f[7, 56])/320 + (1821*f[7, 57])/128 - 
       (263*f[7, 58])/10 - (4057*f[7, 59])/480 + (2131*f[7, 60])/1280 + 
       (1417*f[7, 61])/128 + (12479*f[7, 62])/1920 + (12479*f[7, 63])/1920 - 
       (12479*f[7, 64])/1920 + (18333*f[7, 65])/640 - (5501*f[7, 66])/320 + 
       (3659*f[7, 67])/640 - (2733*f[7, 68])/160 - (3221*f[7, 69])/160 - 
       (963*f[7, 70])/640 + (103*f[7, 71])/128 + (2149*f[7, 72])/160 - 
       (2351*f[7, 73])/160 - (2621*f[7, 74])/160 + (17089*f[7, 75])/960 + 
       (4237*f[7, 76])/256 - (8749*f[7, 77])/1280 + (401*f[7, 78])/64 - 
       (31579*f[7, 79])/960 - (1313*f[7, 80])/120 - (1591*f[7, 81])/8 + 
       (71287*f[7, 82])/960 + (4193*f[7, 83])/32 + (7463*f[7, 84])/480 - 
       (56647*f[7, 85])/3840 - (16517*f[7, 86])/480 - (6857*f[7, 87])/480 + 
       (715*f[7, 88])/48 - (34637*f[7, 89])/1920 - (70333*f[7, 90])/3840 + 
       (18481*f[7, 91])/192 - (30341*f[7, 92])/640 - (117913*f[7, 93])/3840 + 
       (14219*f[7, 94])/320 - (5233*f[7, 95])/160 + (14293*f[7, 96])/640 + 
       (9421*f[7, 97])/384 + (42017*f[7, 98])/1920 - (1571*f[7, 99])/384 - 
       (18799*f[7, 100])/192 - (1183*f[7, 101])/240 - 
       (143303*f[7, 102])/1920 - (1057*f[7, 103])/960 - 
       (15049*f[7, 104])/192 - (10489*f[7, 105])/960 + 
       (42521*f[7, 106])/240 - (17477*f[7, 107])/480 + 
       (23395*f[7, 108])/384 + (51787*f[7, 109])/640 - 
       (24389*f[7, 110])/1280 - (2951*f[7, 111])/1920 + 
       (11499*f[7, 112])/640 + (17747*f[7, 113])/1920 + 
       (37919*f[7, 114])/960 + (312971*f[7, 115])/3840 - 
       (2677*f[7, 116])/192 - (558989*f[7, 117])/960 + 
       (52333*f[7, 118])/3840 + (295591*f[7, 119])/3840 + 
       (7775*f[7, 120])/128 - (24153*f[7, 121])/640 + 
       (183193*f[7, 122])/1920 + (18499*f[7, 123])/640 - 
       (10543*f[7, 124])/160 - (138553*f[7, 125])/1920 + 
       (60719*f[7, 126])/1920 + (4*f[7, 132])/5 - (7*f[7, 133])/8 - 
       (3*f[7, 134])/10 + (83*f[7, 135])/80 - (2393*f[7, 136])/80 + 
       (14843*f[7, 137])/160 + (51763*f[7, 138])/640 + 2*f[7, 140] + 
       2*f[7, 144] - (7*f[7, 145])/2 + (29*f[7, 146])/4 - 
       (481*f[7, 147])/32 + (2755*f[7, 148])/32 + (23001*f[7, 149])/128 + 
       (3227*f[7, 150])/32)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*SPw3f2[v, u] + 
     (-f[7, 25] - f[7, 29] - f[7, 34]/2 + 2*f[7, 42] + 3*f[7, 45] + 
       3*f[7, 46] - (3*f[7, 47])/4 - (3*f[7, 48])/4 - (3*f[7, 49])/4 - 
       (3*f[7, 51])/4 - 7*f[7, 52] + (3*f[7, 53])/2 - f[7, 54]/4 - 
       f[7, 55]/2 + f[7, 56]/2 + (63*f[7, 57])/16 + 18*f[7, 58] - 
       (19*f[7, 59])/4 + (77*f[7, 60])/32 + (7*f[7, 61])/16 - 
       (19*f[7, 62])/32 - (19*f[7, 63])/32 + (19*f[7, 64])/32 - 
       (9*f[7, 65])/16 + (51*f[7, 66])/8 - (81*f[7, 67])/16 + 
       (29*f[7, 68])/4 + (35*f[7, 69])/4 - (47*f[7, 70])/16 + 
       (47*f[7, 71])/16 - (31*f[7, 72])/4 + (25*f[7, 73])/2 + 
       (35*f[7, 74])/4 - (249*f[7, 75])/32 - (323*f[7, 76])/32 + 
       (69*f[7, 77])/32 - (35*f[7, 78])/8 + (449*f[7, 79])/32 + 
       (119*f[7, 80])/32 + (753*f[7, 81])/8 - (73*f[7, 82])/2 - 52*f[7, 83] - 
       (229*f[7, 84])/32 + (107*f[7, 85])/16 + (613*f[7, 86])/32 + 
       (317*f[7, 87])/32 - (229*f[7, 88])/32 + (179*f[7, 89])/32 + 
       (83*f[7, 90])/8 - 53*f[7, 91] + (755*f[7, 92])/32 + (61*f[7, 93])/8 - 
       (745*f[7, 94])/32 + (457*f[7, 95])/32 - (43*f[7, 96])/8 - 
       (17*f[7, 97])/2 - (23*f[7, 98])/2 + (29*f[7, 99])/8 + 
       (517*f[7, 100])/8 + (163*f[7, 101])/32 + (163*f[7, 102])/4 - 
       (13*f[7, 103])/2 + (1223*f[7, 104])/32 + (419*f[7, 105])/32 - 
       (715*f[7, 106])/8 + (111*f[7, 107])/8 - (723*f[7, 108])/32 - 
       (879*f[7, 109])/32 + (665*f[7, 110])/32 - (79*f[7, 111])/32 - 
       (311*f[7, 112])/32 - (53*f[7, 113])/8 - (475*f[7, 114])/32 - 
       (491*f[7, 115])/16 - (7*f[7, 116])/32 + (477*f[7, 117])/2 - 
       (259*f[7, 118])/32 - (1093*f[7, 119])/32 - (837*f[7, 120])/32 + 
       (569*f[7, 121])/32 - (1549*f[7, 122])/32 - (357*f[7, 123])/32 + 
       (431*f[7, 124])/16 + (1097*f[7, 125])/32 - (175*f[7, 126])/8 - 
       f[7, 133]/2 - (3*f[7, 135])/4 + (27*f[7, 136])/4 - (99*f[7, 137])/4 - 
       (39*f[7, 138])/2 + 3*f[7, 145] + 20*f[7, 146] + (103*f[7, 147])/8 - 
       (45*f[7, 148])/8 - (413*f[7, 149])/16 + (147*f[7, 150])/16)*
      HPL[{0, 0, 1}, 1 - v]*SPw3f2[v, u] + 
     (-f[7, 134] + (3*f[7, 135])/4 - (205*f[7, 136])/4 + (549*f[7, 137])/2 + 
       (2161*f[7, 138])/8 - 2*f[7, 144] + f[7, 145] + 100*f[7, 146] + 
       (241*f[7, 147])/8 + (5345*f[7, 148])/16 + (5753*f[7, 149])/8 + 
       (8469*f[7, 150])/16)*HPL[{0, 1, 1}, 1 - v]*SPw3f2[v, u] + 
     ((-3*f[7, 136])/4 - f[7, 137] - f[7, 138]/2 + (3*f[7, 146])/2 + 
       (3*f[7, 147])/4 - (5*f[7, 148])/8 - 3*f[7, 149] - (35*f[7, 150])/48)*
      HPL[{1}, 1 - u]*SPw2f1[u, v]*SPw3f2[v, u] + 
     (-f[7, 48]/2 - f[7, 51]/4 - f[7, 54]/4 + (3*f[7, 56])/16 + f[7, 57]/32 + 
       (3*f[7, 58])/2 - (35*f[7, 59])/24 + (19*f[7, 60])/64 + 
       (13*f[7, 61])/32 - (83*f[7, 62])/96 - (83*f[7, 63])/96 + 
       (83*f[7, 64])/96 - (131*f[7, 65])/32 + (75*f[7, 66])/16 + 
       (43*f[7, 67])/32 + (75*f[7, 68])/8 + (75*f[7, 69])/8 - 
       (75*f[7, 70])/32 + (75*f[7, 71])/32 - (75*f[7, 72])/8 + 
       (75*f[7, 73])/8 + (75*f[7, 74])/8 - (77*f[7, 75])/96 - 
       (827*f[7, 76])/64 + (619*f[7, 77])/64 - (75*f[7, 78])/16 + 
       (461*f[7, 79])/96 + (83*f[7, 80])/96 + (31*f[7, 81])/8 - 
       (1495*f[7, 82])/48 - (151*f[7, 83])/8 - (407*f[7, 84])/96 + 
       (2263*f[7, 85])/192 + (2843*f[7, 86])/96 + (1283*f[7, 87])/96 - 
       (427*f[7, 88])/96 + (233*f[7, 89])/96 + (337*f[7, 90])/192 - 
       (335*f[7, 91])/48 + (221*f[7, 92])/16 + (1885*f[7, 93])/192 + 
       (41*f[7, 94])/32 + (673*f[7, 95])/32 - (143*f[7, 96])/32 - 
       (839*f[7, 97])/96 - (839*f[7, 98])/96 + (395*f[7, 99])/48 + 
       (3353*f[7, 100])/48 + (185*f[7, 101])/24 + (403*f[7, 102])/48 + 
       (19*f[7, 103])/12 + (191*f[7, 104])/48 + (245*f[7, 105])/96 - 
       (229*f[7, 106])/6 + (965*f[7, 107])/24 - (977*f[7, 108])/96 - 
       (193*f[7, 109])/32 + (169*f[7, 110])/64 + (899*f[7, 111])/96 - 
       (477*f[7, 112])/32 - (187*f[7, 113])/48 - (481*f[7, 114])/96 - 
       (623*f[7, 115])/192 - (401*f[7, 116])/96 + (10151*f[7, 117])/48 + 
       (371*f[7, 118])/192 - (5353*f[7, 119])/192 - (453*f[7, 120])/32 + 
       (315*f[7, 121])/32 - (2479*f[7, 122])/96 - (289*f[7, 123])/32 + 
       (151*f[7, 124])/8 + (1501*f[7, 125])/96 - (335*f[7, 126])/24 - 
       f[7, 135]/4 + f[7, 136]/2 - (75*f[7, 137])/8 - (265*f[7, 138])/32 + 
       (3*f[7, 146])/2 + f[7, 147]/8 + (161*f[7, 148])/16 + 
       (799*f[7, 149])/32 + (733*f[7, 150])/48)*SPw3f2[u, v]*SPw3f2[v, u] + 
     ((3*f[7, 136])/8 + f[7, 137]/2 + f[7, 138]/4 - (3*f[7, 146])/4 - 
       (3*f[7, 147])/8 + (5*f[7, 148])/16 + (3*f[7, 149])/2 + 
       (35*f[7, 150])/96)*SPw3f2[v, u]^2 + 
     (f[7, 35] - f[7, 135]/4 - (117*f[7, 136])/4 + (1525*f[7, 137])/8 + 
       (5921*f[7, 138])/32 - f[7, 145] + (111*f[7, 146])/2 + 
       (77*f[7, 147])/8 + 220*f[7, 148] + (16117*f[7, 149])/32 + 
       (7823*f[7, 150])/24)*HPL[{1}, 1 - v]^2*SPw4f1[u, v] + 
     (-f[7, 56]/2 - f[7, 57]/4 - 2*f[7, 58] + f[7, 59]/3 - (3*f[7, 60])/8 - 
       (5*f[7, 61])/4 + (17*f[7, 62])/24 + (17*f[7, 63])/24 - 
       (17*f[7, 64])/24 + (3*f[7, 65])/4 - (3*f[7, 66])/2 + f[7, 67]/4 - 
       3*f[7, 68] - 3*f[7, 69] + (3*f[7, 70])/4 - (3*f[7, 71])/4 + 
       3*f[7, 72] - 3*f[7, 73] - 3*f[7, 74] + (19*f[7, 75])/12 + 
       (27*f[7, 76])/8 - (27*f[7, 77])/8 + (3*f[7, 78])/2 - 
       (19*f[7, 79])/12 + (2*f[7, 80])/3 - 3*f[7, 81] + (53*f[7, 82])/6 + 
       4*f[7, 83] + (19*f[7, 84])/12 - (71*f[7, 85])/24 - (97*f[7, 86])/12 - 
       (37*f[7, 87])/12 + (23*f[7, 88])/12 - (29*f[7, 89])/24 - 
       (29*f[7, 90])/24 + (41*f[7, 91])/3 - (19*f[7, 92])/4 - 
       (53*f[7, 93])/24 + (13*f[7, 94])/4 - (29*f[7, 95])/4 + 
       (7*f[7, 96])/2 + f[7, 97]/3 + f[7, 98]/3 - (55*f[7, 99])/24 - 
       (175*f[7, 100])/6 - (83*f[7, 101])/24 - (155*f[7, 102])/24 + 
       (11*f[7, 103])/12 - (115*f[7, 104])/24 + (7*f[7, 105])/6 + 
       (79*f[7, 106])/6 - (101*f[7, 107])/6 + (107*f[7, 108])/24 + 
       (21*f[7, 109])/8 - f[7, 110]/2 - (35*f[7, 111])/24 + 
       (37*f[7, 112])/8 + (95*f[7, 113])/24 + (5*f[7, 114])/3 + 
       (61*f[7, 115])/24 + (5*f[7, 116])/6 - (239*f[7, 117])/3 + 
       (25*f[7, 118])/12 + (269*f[7, 119])/24 + (31*f[7, 120])/8 - 
       (43*f[7, 121])/8 + (289*f[7, 122])/24 + (31*f[7, 123])/8 - 
       (37*f[7, 124])/4 - (235*f[7, 125])/24 + (137*f[7, 126])/24 + 
       f[7, 137]/2 - f[7, 138]/8 - 4*f[7, 146] - 2*f[7, 147] - 
       (17*f[7, 148])/2 - (111*f[7, 149])/8 - (209*f[7, 150])/12)*
      HPL[{0, 1}, 1 - u]*SPw4f1[u, v] + (-2*f[7, 127] - 3*f[7, 133] + 
       12*f[7, 134] + (9*f[7, 135])/2 - 69*f[7, 136] + 139*f[7, 137] + 
       (1321*f[7, 138])/8 + 22*f[7, 145] + 153*f[7, 146] + 
       (267*f[7, 147])/4 + (1523*f[7, 148])/8 + (837*f[7, 149])/2 + 
       (13097*f[7, 150])/24)*HPL[{0, 1}, 1 - v]*SPw4f1[u, v] + 
     (-f[7, 42] - (3*f[7, 56])/8 - (5*f[7, 57])/16 - 2*f[7, 58] + 
       (25*f[7, 59])/12 - (7*f[7, 60])/32 - (17*f[7, 61])/16 + 
       (5*f[7, 62])/24 + (5*f[7, 63])/24 - (5*f[7, 64])/24 - 
       (9*f[7, 65])/16 + f[7, 66]/8 + (17*f[7, 67])/16 + f[7, 68]/4 + 
       f[7, 69]/4 - f[7, 70]/16 + f[7, 71]/16 - f[7, 72]/4 + f[7, 73]/4 + 
       f[7, 74]/4 + (85*f[7, 75])/48 - (33*f[7, 76])/32 + f[7, 77]/32 - 
       f[7, 78]/8 - f[7, 79]/48 + (59*f[7, 80])/48 - (29*f[7, 81])/4 - 
       (73*f[7, 82])/24 - (11*f[7, 83])/4 - (5*f[7, 84])/48 + 
       (157*f[7, 85])/96 + (125*f[7, 86])/48 + (89*f[7, 87])/48 + 
       (23*f[7, 88])/48 - f[7, 89]/12 - (5*f[7, 90])/96 + (193*f[7, 91])/24 + 
       f[7, 92]/4 + (175*f[7, 93])/96 + (43*f[7, 94])/16 + (3*f[7, 95])/16 + 
       (21*f[7, 96])/16 - (83*f[7, 97])/48 - (83*f[7, 98])/48 + 
       (67*f[7, 99])/48 - (49*f[7, 100])/24 - (19*f[7, 101])/48 - 
       (157*f[7, 102])/48 + (19*f[7, 103])/24 - (149*f[7, 104])/48 + 
       (89*f[7, 105])/48 + (17*f[7, 106])/12 - (4*f[7, 107])/3 + 
       (11*f[7, 108])/24 - f[7, 109]/4 + (5*f[7, 110])/32 + 
       (13*f[7, 111])/6 - (3*f[7, 112])/4 + (157*f[7, 113])/48 - 
       (25*f[7, 114])/48 + (127*f[7, 115])/96 - (5*f[7, 116])/48 + 
       (47*f[7, 117])/24 + (155*f[7, 118])/96 + (29*f[7, 119])/96 - 
       (9*f[7, 120])/8 - (7*f[7, 121])/4 + (73*f[7, 122])/24 + 
       (3*f[7, 123])/8 - (17*f[7, 124])/8 - (97*f[7, 125])/24 + 
       (61*f[7, 126])/48 + f[7, 136] - (23*f[7, 137])/4 - (89*f[7, 138])/16 - 
       6*f[7, 146] - (13*f[7, 147])/4 - (37*f[7, 148])/4 - 
       (201*f[7, 149])/16 - (433*f[7, 150])/24)*HPL[{1}, 1 - u]^2*
      SPw4f1[v, u] + (f[7, 34] - f[7, 47]/4 + f[7, 50] + f[7, 52]/2 + 
       f[7, 53] + 2*f[7, 55] + (11*f[7, 56])/16 + (3*f[7, 57])/32 + 
       f[7, 58] - (7*f[7, 59])/8 + (9*f[7, 60])/64 + (15*f[7, 61])/32 + 
       f[7, 62]/8 + f[7, 63]/8 - f[7, 64]/8 + (303*f[7, 65])/32 - 
       (171*f[7, 66])/16 - (203*f[7, 67])/32 - (199*f[7, 68])/8 - 
       (195*f[7, 69])/8 + (195*f[7, 70])/32 - (195*f[7, 71])/32 + 
       (207*f[7, 72])/8 - (195*f[7, 73])/8 - (199*f[7, 74])/8 - 
       (177*f[7, 75])/32 + (2375*f[7, 76])/64 - (1455*f[7, 77])/64 + 
       (195*f[7, 78])/16 - (313*f[7, 79])/32 - (101*f[7, 80])/32 + 
       (209*f[7, 81])/8 + (1405*f[7, 82])/16 + (395*f[7, 83])/8 + 
       (295*f[7, 84])/32 - (2209*f[7, 85])/64 - (2829*f[7, 86])/32 - 
       (1337*f[7, 87])/32 + (299*f[7, 88])/32 - (79*f[7, 89])/16 - 
       (51*f[7, 90])/64 + (119*f[7, 91])/16 - (279*f[7, 92])/8 - 
       (1995*f[7, 93])/64 - (275*f[7, 94])/32 - (1755*f[7, 95])/32 + 
       (149*f[7, 96])/32 + (731*f[7, 97])/32 + (731*f[7, 98])/32 - 
       (801*f[7, 99])/32 - (2715*f[7, 100])/16 - (555*f[7, 101])/32 - 
       (457*f[7, 102])/32 - (75*f[7, 103])/16 - (37*f[7, 104])/32 - 
       (359*f[7, 105])/32 + (655*f[7, 106])/8 - (371*f[7, 107])/4 + 
       (43*f[7, 108])/2 + (167*f[7, 109])/16 - (439*f[7, 110])/64 - 
       (497*f[7, 111])/16 + (317*f[7, 112])/8 + (131*f[7, 113])/32 + 
       (387*f[7, 114])/32 - (359*f[7, 115])/64 + (395*f[7, 116])/32 - 
       (7919*f[7, 117])/16 - (511*f[7, 118])/64 + (4071*f[7, 119])/64 + 
       (133*f[7, 120])/4 - (281*f[7, 121])/16 + (407*f[7, 122])/8 + 
       19*f[7, 123] - (585*f[7, 124])/16 - (49*f[7, 125])/2 + 
       (979*f[7, 126])/32 + f[7, 133]/2 + f[7, 136]/2 + (203*f[7, 137])/8 + 
       (709*f[7, 138])/32 + f[7, 145] + f[7, 146] + (13*f[7, 147])/4 - 
       26*f[7, 148] - (2091*f[7, 149])/32 - (351*f[7, 150])/16)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*SPw4f1[v, u] + 
     (-f[7, 52] - (15*f[7, 56])/16 + (25*f[7, 57])/32 + (17*f[7, 58])/2 + 
       (5*f[7, 59])/8 - (5*f[7, 60])/64 - (35*f[7, 61])/32 - 
       (133*f[7, 62])/32 - (133*f[7, 63])/32 + (133*f[7, 64])/32 - 
       (251*f[7, 65])/32 + (123*f[7, 66])/16 - (13*f[7, 67])/32 + 
       (123*f[7, 68])/8 + (123*f[7, 69])/8 - (123*f[7, 70])/32 + 
       (123*f[7, 71])/32 - (123*f[7, 72])/8 + (123*f[7, 73])/8 + 
       (123*f[7, 74])/8 - (81*f[7, 75])/32 - (1315*f[7, 76])/64 + 
       (1019*f[7, 77])/64 - (123*f[7, 78])/16 + (279*f[7, 79])/32 - 
       (23*f[7, 80])/32 + (175*f[7, 81])/8 - (737*f[7, 82])/16 - 
       (209*f[7, 83])/8 - (229*f[7, 84])/32 + (1025*f[7, 85])/64 + 
       (1431*f[7, 86])/32 + (623*f[7, 87])/32 - (209*f[7, 88])/32 + 
       (215*f[7, 89])/32 + (155*f[7, 90])/64 - (765*f[7, 91])/16 + 
       (183*f[7, 92])/8 + (827*f[7, 93])/64 - (447*f[7, 94])/32 + 
       (1053*f[7, 95])/32 - (379*f[7, 96])/32 - (261*f[7, 97])/32 - 
       (261*f[7, 98])/32 + (99*f[7, 99])/8 + (2107*f[7, 100])/16 + 
       (119*f[7, 101])/8 + (117*f[7, 102])/4 - (13*f[7, 103])/8 + 
       (323*f[7, 104])/16 + (11*f[7, 105])/32 - (275*f[7, 106])/4 + 
       (595*f[7, 107])/8 - (739*f[7, 108])/32 - (601*f[7, 109])/32 + 
       (221*f[7, 110])/64 + (353*f[7, 111])/32 - (623*f[7, 112])/32 - 
       (241*f[7, 113])/16 - (451*f[7, 114])/32 - (925*f[7, 115])/64 - 
       (35*f[7, 116])/32 + (6293*f[7, 117])/16 - (319*f[7, 118])/64 - 
       (3515*f[7, 119])/64 - (785*f[7, 120])/32 + (603*f[7, 121])/32 - 
       (1481*f[7, 122])/32 - (405*f[7, 123])/32 + (63*f[7, 124])/2 + 
       (1047*f[7, 125])/32 - (83*f[7, 126])/4 + 3*f[7, 136] - 
       (141*f[7, 137])/8 - (519*f[7, 138])/32 + 11*f[7, 146] + 
       (9*f[7, 147])/2 + (75*f[7, 148])/4 + (1085*f[7, 149])/32 + 
       (543*f[7, 150])/16)*HPL[{1}, 1 - v]^2*SPw4f1[v, u] + 
     (2*f[7, 23] - 2*f[7, 41] - 2*f[7, 42] + f[7, 47]/2 - 2*f[7, 50] - 
       f[7, 52] - 2*f[7, 53] + 2*f[7, 54] - 4*f[7, 55] - (15*f[7, 56])/8 + 
       (57*f[7, 57])/16 + 14*f[7, 58] + (11*f[7, 59])/4 - (5*f[7, 60])/32 - 
       (3*f[7, 61])/16 - (39*f[7, 62])/4 - (39*f[7, 63])/4 + 
       (39*f[7, 64])/4 - (675*f[7, 65])/16 + (399*f[7, 66])/8 + 
       (303*f[7, 67])/16 + (427*f[7, 68])/4 + (423*f[7, 69])/4 - 
       (423*f[7, 70])/16 + (423*f[7, 71])/16 - (435*f[7, 72])/4 + 
       (423*f[7, 73])/4 + (427*f[7, 74])/4 + (101*f[7, 75])/16 - 
       (4859*f[7, 76])/32 + (3363*f[7, 77])/32 - (423*f[7, 78])/8 + 
       (773*f[7, 79])/16 + (121*f[7, 80])/16 - (141*f[7, 81])/4 - 
       (2921*f[7, 82])/8 - (839*f[7, 83])/4 - (723*f[7, 84])/16 + 
       (4445*f[7, 85])/32 + (5697*f[7, 86])/16 + (2621*f[7, 87])/16 - 
       (711*f[7, 88])/16 + (219*f[7, 89])/8 + (375*f[7, 90])/32 - 
       (955*f[7, 91])/8 + (621*f[7, 92])/4 + (3919*f[7, 93])/32 + 
       (15*f[7, 94])/16 + (3823*f[7, 95])/16 - (673*f[7, 96])/16 - 
       (1391*f[7, 97])/16 - (1391*f[7, 98])/16 + (1629*f[7, 99])/16 + 
       (6367*f[7, 100])/8 + (1375*f[7, 101])/16 + (1597*f[7, 102])/16 + 
       (95*f[7, 103])/8 + (713*f[7, 104])/16 + (483*f[7, 105])/16 - 
       (1571*f[7, 106])/4 + (895*f[7, 107])/2 - 110*f[7, 108] - 
       (495*f[7, 109])/8 + (923*f[7, 110])/32 + (917*f[7, 111])/8 - 
       (667*f[7, 112])/4 - (703*f[7, 113])/16 - (951*f[7, 114])/16 - 
       (469*f[7, 115])/32 - (727*f[7, 116])/16 + (18707*f[7, 117])/8 + 
       (547*f[7, 118])/32 - (9899*f[7, 119])/32 - (307*f[7, 120])/2 + 
       (789*f[7, 121])/8 - (1055*f[7, 122])/4 - (181*f[7, 123])/2 + 
       (1521*f[7, 124])/8 + 153*f[7, 125] - (2311*f[7, 126])/16 - 
       2*f[7, 133] - (3*f[7, 135])/2 + (11*f[7, 136])/2 - (835*f[7, 137])/4 - 
       (3039*f[7, 138])/16 + 16*f[7, 146] + (35*f[7, 147])/4 + 13*f[7, 148] + 
       (251*f[7, 149])/16 + (166*f[7, 150])/3)*HPL[{0, 1}, 1 - u]*
      SPw4f1[v, u] + (-f[7, 47]/2 + 2*f[7, 50] + f[7, 52] + 2*f[7, 53] + 
       4*f[7, 55] + (11*f[7, 56])/8 + (3*f[7, 57])/16 + 2*f[7, 58] - 
       (7*f[7, 59])/4 + (9*f[7, 60])/32 + (15*f[7, 61])/16 + f[7, 62]/4 + 
       f[7, 63]/4 - f[7, 64]/4 + (303*f[7, 65])/16 - (171*f[7, 66])/8 - 
       (203*f[7, 67])/16 - (199*f[7, 68])/4 - (195*f[7, 69])/4 + 
       (195*f[7, 70])/16 - (195*f[7, 71])/16 + (207*f[7, 72])/4 - 
       (195*f[7, 73])/4 - (199*f[7, 74])/4 - (177*f[7, 75])/16 + 
       (2375*f[7, 76])/32 - (1455*f[7, 77])/32 + (195*f[7, 78])/8 - 
       (313*f[7, 79])/16 - (101*f[7, 80])/16 + (209*f[7, 81])/4 + 
       (1405*f[7, 82])/8 + (395*f[7, 83])/4 + (295*f[7, 84])/16 - 
       (2209*f[7, 85])/32 - (2829*f[7, 86])/16 - (1337*f[7, 87])/16 + 
       (299*f[7, 88])/16 - (79*f[7, 89])/8 - (51*f[7, 90])/32 + 
       (119*f[7, 91])/8 - (279*f[7, 92])/4 - (1995*f[7, 93])/32 - 
       (275*f[7, 94])/16 - (1755*f[7, 95])/16 + (149*f[7, 96])/16 + 
       (731*f[7, 97])/16 + (731*f[7, 98])/16 - (801*f[7, 99])/16 - 
       (2715*f[7, 100])/8 - (555*f[7, 101])/16 - (457*f[7, 102])/16 - 
       (75*f[7, 103])/8 - (37*f[7, 104])/16 - (359*f[7, 105])/16 + 
       (655*f[7, 106])/4 - (371*f[7, 107])/2 + 43*f[7, 108] + 
       (167*f[7, 109])/8 - (439*f[7, 110])/32 - (497*f[7, 111])/8 + 
       (317*f[7, 112])/4 + (131*f[7, 113])/16 + (387*f[7, 114])/16 - 
       (359*f[7, 115])/32 + (395*f[7, 116])/16 - (7919*f[7, 117])/8 - 
       (511*f[7, 118])/32 + (4071*f[7, 119])/32 + (133*f[7, 120])/2 - 
       (281*f[7, 121])/8 + (407*f[7, 122])/4 + 38*f[7, 123] - 
       (585*f[7, 124])/8 - 49*f[7, 125] + (979*f[7, 126])/16 + 2*f[7, 133] + 
       f[7, 135]/2 + (3*f[7, 136])/2 + (597*f[7, 137])/4 + 
       (2161*f[7, 138])/16 + 2*f[7, 146] - (13*f[7, 147])/4 + 
       (105*f[7, 148])/2 + (2039*f[7, 149])/16 + (305*f[7, 150])/6)*
      SPw2f1[u, v]*SPw4f1[v, u] + ((-11*f[7, 137])/4 - (21*f[7, 138])/8 + 
       f[7, 147]/8 - (51*f[7, 148])/16 - 5*f[7, 149] - (17*f[7, 150])/4)*
      HPL[{1}, 1 - v]^2*SPw4f2[u, v] + (-f[7, 41]/2 - f[7, 42]/2 - 
       f[7, 47]/2 + f[7, 48]/4 + f[7, 51]/4 + f[7, 54]/2 - (3*f[7, 56])/16 + 
       (73*f[7, 57])/32 + (15*f[7, 58])/2 - (3*f[7, 59])/4 + 
       (11*f[7, 60])/64 - (19*f[7, 61])/32 - (57*f[7, 62])/16 - 
       (57*f[7, 63])/16 + (57*f[7, 64])/16 - (267*f[7, 65])/32 + 
       (155*f[7, 66])/16 + (35*f[7, 67])/32 + (155*f[7, 68])/8 + 
       (155*f[7, 69])/8 - (155*f[7, 70])/32 + (155*f[7, 71])/32 - 
       (155*f[7, 72])/8 + (155*f[7, 73])/8 + (151*f[7, 74])/8 - 
       (59*f[7, 75])/32 - (1707*f[7, 76])/64 + (1283*f[7, 77])/64 - 
       (155*f[7, 78])/16 + (319*f[7, 79])/32 - (19*f[7, 80])/32 + 
       (31*f[7, 81])/2 - (989*f[7, 82])/16 - (303*f[7, 83])/8 - 
       (293*f[7, 84])/32 + (1429*f[7, 85])/64 + (1917*f[7, 86])/32 + 
       (861*f[7, 87])/32 - (265*f[7, 88])/32 + (27*f[7, 89])/4 + 
       (259*f[7, 90])/64 - (631*f[7, 91])/16 + (455*f[7, 92])/16 + 
       (1231*f[7, 93])/64 - (315*f[7, 94])/32 + (1365*f[7, 95])/32 - 
       (381*f[7, 96])/32 - (435*f[7, 97])/32 - (435*f[7, 98])/32 + 
       (539*f[7, 99])/32 + (2543*f[7, 100])/16 + (569*f[7, 101])/32 + 
       (905*f[7, 102])/32 - (5*f[7, 103])/16 + (577*f[7, 104])/32 + 
       (81*f[7, 105])/32 - (325*f[7, 106])/4 + (181*f[7, 107])/2 - 
       (401*f[7, 108])/16 - (69*f[7, 109])/4 + (295*f[7, 110])/64 + 
       (123*f[7, 111])/8 - (111*f[7, 112])/4 - (461*f[7, 113])/32 - 
       (457*f[7, 114])/32 - (801*f[7, 115])/64 - (169*f[7, 116])/32 + 
       (7511*f[7, 117])/16 - (57*f[7, 118])/64 - (4139*f[7, 119])/64 - 
       (249*f[7, 120])/8 + (183*f[7, 121])/8 - (901*f[7, 122])/16 - 
       (271*f[7, 123])/16 + (637*f[7, 124])/16 + (607*f[7, 125])/16 - 
       (887*f[7, 126])/32 + (17*f[7, 136])/4 - (173*f[7, 137])/8 - 
       (659*f[7, 138])/32 + 7*f[7, 146] + 2*f[7, 147] + (87*f[7, 148])/4 + 
       (1457*f[7, 149])/32 + (573*f[7, 150])/16)*HPL[{0, 1}, 1 - u]*
      SPw4f2[u, v] + (f[7, 133]/4 - f[7, 134]/2 - f[7, 135]/8 + 
       (19*f[7, 136])/8 - (287*f[7, 137])/16 - (1113*f[7, 138])/64 - 
       (9*f[7, 146])/2 - (7*f[7, 147])/16 - (639*f[7, 148])/32 - 
       (3055*f[7, 149])/64 - (3551*f[7, 150])/96)*HPL[{0, 1}, 1 - v]*
      SPw4f2[u, v] + f[7, 38]*HPL[{1}, 1 - v]^2*SPw4f2[v, u] + 
     (-f[7, 49]/4 - f[7, 50]/2 + f[7, 51]/4 + f[7, 54]/2 + (5*f[7, 56])/16 + 
       f[7, 57]/32 + f[7, 58] + (5*f[7, 59])/2 + (19*f[7, 60])/64 - 
       (27*f[7, 61])/32 - (15*f[7, 62])/16 - (15*f[7, 63])/16 + 
       (15*f[7, 64])/16 - (3*f[7, 65])/32 + (3*f[7, 66])/16 - 
       (5*f[7, 67])/32 + (3*f[7, 68])/8 + (3*f[7, 69])/8 - (3*f[7, 70])/32 + 
       (3*f[7, 71])/32 - (5*f[7, 72])/8 + (3*f[7, 73])/8 + (5*f[7, 74])/8 - 
       (3*f[7, 75])/32 - (67*f[7, 76])/64 + (27*f[7, 77])/64 - 
       (3*f[7, 78])/16 + (7*f[7, 79])/32 - (7*f[7, 80])/32 - f[7, 81]/4 - 
       (13*f[7, 82])/16 - (3*f[7, 83])/8 - (5*f[7, 84])/32 + 
       (13*f[7, 85])/64 + (29*f[7, 86])/32 + (13*f[7, 87])/32 + 
       (7*f[7, 88])/32 + (5*f[7, 89])/8 - (5*f[7, 90])/64 - 
       (87*f[7, 91])/16 + (9*f[7, 92])/16 + (7*f[7, 93])/64 - 
       (65*f[7, 94])/32 + (21*f[7, 95])/32 - (37*f[7, 96])/32 + 
       (29*f[7, 97])/32 + (29*f[7, 98])/32 + (15*f[7, 99])/32 + 
       (119*f[7, 100])/16 + (29*f[7, 101])/32 + (63*f[7, 102])/32 - 
       (17*f[7, 103])/16 + (55*f[7, 104])/32 - (31*f[7, 105])/32 - 
       2*f[7, 106] + 4*f[7, 107] - (31*f[7, 108])/16 - (15*f[7, 109])/8 - 
       (25*f[7, 110])/64 - f[7, 111]/2 + (3*f[7, 112])/8 - 
       (43*f[7, 113])/32 - (49*f[7, 114])/32 - (73*f[7, 115])/64 + 
       (31*f[7, 116])/32 + (311*f[7, 117])/16 - (109*f[7, 118])/64 - 
       (211*f[7, 119])/64 - (3*f[7, 120])/4 + f[7, 121] - (19*f[7, 122])/16 - 
       (5*f[7, 123])/16 + (17*f[7, 124])/16 + (29*f[7, 125])/16 + 
       (5*f[7, 126])/32 + f[7, 136]/4 - (3*f[7, 137])/8 - (17*f[7, 138])/32 + 
       f[7, 146] + f[7, 147]/4 + (11*f[7, 148])/16 + (31*f[7, 149])/32 + 
       (13*f[7, 150])/8)*HPL[{0, 1}, 1 - u]*SPw4f2[v, u] + 
     (f[7, 24] - f[7, 34]/4 + f[7, 43] + f[7, 44] + f[7, 45]/2 + f[7, 46]/2 - 
       f[7, 48]/8 + (7*f[7, 49])/8 - f[7, 50]/2 + (5*f[7, 51])/8 + 
       f[7, 52]/4 - f[7, 53]/4 + (9*f[7, 54])/8 - (3*f[7, 55])/4 + 
       (33*f[7, 56])/32 - (61*f[7, 57])/64 - (5*f[7, 58])/2 - 
       (15*f[7, 59])/16 + (41*f[7, 60])/128 + (55*f[7, 61])/64 + 
       (131*f[7, 62])/64 + (131*f[7, 63])/64 - (131*f[7, 64])/64 + 
       (551*f[7, 65])/64 - (263*f[7, 66])/32 - (127*f[7, 67])/64 - 
       (255*f[7, 68])/16 - (255*f[7, 69])/16 + (263*f[7, 70])/64 - 
       (263*f[7, 71])/64 + (259*f[7, 72])/16 - (253*f[7, 73])/16 - 
       (251*f[7, 74])/16 + (25*f[7, 75])/32 + (2803*f[7, 76])/128 - 
       (2039*f[7, 77])/128 + (255*f[7, 78])/32 - (289*f[7, 79])/32 - 
       (47*f[7, 80])/16 - (71*f[7, 81])/8 + (1807*f[7, 82])/32 + 
       (663*f[7, 83])/16 + (63*f[7, 84])/8 - (2695*f[7, 85])/128 - 
       (799*f[7, 86])/16 - (357*f[7, 87])/16 + (113*f[7, 88])/16 - 
       (345*f[7, 89])/64 - (565*f[7, 90])/128 + (253*f[7, 91])/32 - 
       (1495*f[7, 92])/64 - (2513*f[7, 93])/128 - (9*f[7, 94])/32 - 
       36*f[7, 95] + (591*f[7, 96])/64 + (1129*f[7, 97])/64 + 
       (1097*f[7, 98])/64 - (915*f[7, 99])/64 - (3747*f[7, 100])/32 - 
       (25*f[7, 101])/2 - (991*f[7, 102])/64 - (87*f[7, 103])/32 - 
       (263*f[7, 104])/32 - (155*f[7, 105])/32 + 68*f[7, 106] - 
       (1097*f[7, 107])/16 + (1267*f[7, 108])/64 + (1045*f[7, 109])/64 - 
       (719*f[7, 110])/128 - (1099*f[7, 111])/64 + (1609*f[7, 112])/64 + 
       (275*f[7, 113])/64 + (353*f[7, 114])/32 + (1067*f[7, 115])/128 + 
       (153*f[7, 116])/32 - (12037*f[7, 117])/32 - (235*f[7, 118])/128 + 
       (6399*f[7, 119])/128 + (1633*f[7, 120])/64 - (1127*f[7, 121])/64 + 
       (2829*f[7, 122])/64 + (1005*f[7, 123])/64 - (529*f[7, 124])/16 - 
       (1733*f[7, 125])/64 + (1383*f[7, 126])/64 - (3*f[7, 133])/4 + 
       f[7, 134] + f[7, 135]/8 - (77*f[7, 136])/8 - (195*f[7, 137])/16 - 
       (603*f[7, 138])/64 + 2*f[7, 145] + (29*f[7, 146])/2 + 
       (201*f[7, 147])/16 - 39*f[7, 148] - (7325*f[7, 149])/64 - 
       (1087*f[7, 150])/48)*HPL[{0, 1}, 1 - v]*SPw4f2[v, u] + 
     (f[7, 137]/2 + f[7, 147]/4 + (13*f[7, 148])/16 + (5*f[7, 149])/4 + 
       (29*f[7, 150])/16)*SPw2f1[u, v]*SPw4f2[v, u] + 
     (-f[7, 135] + 9*f[7, 136] - (153*f[7, 137])/2 - (577*f[7, 138])/8 - 
       20*f[7, 146] - (5*f[7, 147])/2 - (345*f[7, 148])/4 - 
       (1613*f[7, 149])/8 - 125*f[7, 150])*HPL[{0, 1}, 1 - u]*SPw4f3[u, v] + 
     (f[7, 135] - 9*f[7, 136] + (153*f[7, 137])/2 + (577*f[7, 138])/8 + 
       20*f[7, 146] + (5*f[7, 147])/2 + (345*f[7, 148])/4 + 
       (1613*f[7, 149])/8 + 125*f[7, 150])*SPw2f1[u, v]*SPw4f3[u, v] + 
     (-f[7, 37]/2 + f[7, 138]/8 + f[7, 147]/4 + (3*f[7, 148])/8 - 
       f[7, 149]/2 + (3*f[7, 150])/8)*HPL[{1}, 1 - u]^2*SPw4f3[v, u] + 
     (f[7, 29] - 2*f[7, 34] + 2*f[7, 47] - 8*f[7, 50] + f[7, 51] - 
       2*f[7, 52] - 8*f[7, 53] - f[7, 54] - 16*f[7, 55] + f[7, 56]/4 - 
       (59*f[7, 57])/8 - 33*f[7, 58] + (19*f[7, 59])/6 - (25*f[7, 60])/16 + 
       (9*f[7, 61])/8 + (527*f[7, 62])/48 + (527*f[7, 63])/48 - 
       (527*f[7, 64])/48 - (283*f[7, 65])/8 + (165*f[7, 66])/4 + 
       (333*f[7, 67])/8 + (225*f[7, 68])/2 + (217*f[7, 69])/2 - 
       (225*f[7, 70])/8 + (225*f[7, 71])/8 - (241*f[7, 72])/2 + 
       (215*f[7, 73])/2 + (225*f[7, 74])/2 + (229*f[7, 75])/6 - 
       (2795*f[7, 76])/16 + (1563*f[7, 77])/16 - (207*f[7, 78])/4 + 
       (755*f[7, 79])/24 + (52*f[7, 80])/3 - 249*f[7, 81] - 
       (4939*f[7, 82])/12 - (369*f[7, 83])/2 - (887*f[7, 84])/24 + 
       (8137*f[7, 85])/48 + (1288*f[7, 86])/3 + (622*f[7, 87])/3 - 
       (1003*f[7, 88])/24 + (385*f[7, 89])/48 - (479*f[7, 90])/48 + 
       (473*f[7, 91])/6 + (611*f[7, 92])/4 + (7219*f[7, 93])/48 + 
       (747*f[7, 94])/8 + (2045*f[7, 95])/8 + (29*f[7, 96])/4 - 
       (352*f[7, 97])/3 - (352*f[7, 98])/3 + (5813*f[7, 99])/48 + 
       (7967*f[7, 100])/12 + (3055*f[7, 101])/48 - (35*f[7, 102])/48 + 
       (989*f[7, 103])/24 - (3001*f[7, 104])/48 + (775*f[7, 105])/12 - 
       (3575*f[7, 106])/12 + (4297*f[7, 107])/12 - (2923*f[7, 108])/48 + 
       (87*f[7, 109])/16 + (255*f[7, 110])/8 + (8035*f[7, 111])/48 - 
       (3187*f[7, 112])/16 + (329*f[7, 113])/48 - (169*f[7, 114])/6 + 
       (4123*f[7, 115])/48 - (1003*f[7, 116])/12 + (11557*f[7, 117])/6 + 
       (1663*f[7, 118])/24 - (11173*f[7, 119])/48 - (2091*f[7, 120])/16 + 
       (899*f[7, 121])/16 - (9341*f[7, 122])/48 - (1279*f[7, 123])/16 + 
       (1097*f[7, 124])/8 + (2867*f[7, 125])/48 - (6817*f[7, 126])/48 - 
       3*f[7, 133] + f[7, 135]/2 - (71*f[7, 136])/2 - (299*f[7, 137])/4 - 
       (939*f[7, 138])/16 - 6*f[7, 145] + 8*f[7, 146] - (33*f[7, 147])/4 + 
       (355*f[7, 148])/2 + (6569*f[7, 149])/16 + (399*f[7, 150])/2)*
      HPL[{0, 1}, 1 - v]*SPw4f3[v, u] + (2*f[7, 48] - f[7, 54] - f[7, 56]/4 - 
       (35*f[7, 57])/8 - 20*f[7, 58] + (7*f[7, 59])/2 - (25*f[7, 60])/16 + 
       (9*f[7, 61])/8 + (19*f[7, 62])/2 + (19*f[7, 63])/2 - (19*f[7, 64])/2 + 
       (265*f[7, 65])/8 - (153*f[7, 66])/4 - (73*f[7, 67])/8 - 
       (153*f[7, 68])/2 - (153*f[7, 69])/2 + (153*f[7, 70])/8 - 
       (153*f[7, 71])/8 + (153*f[7, 72])/2 - (153*f[7, 73])/2 - 
       (153*f[7, 74])/2 + (21*f[7, 75])/8 + (1713*f[7, 76])/16 - 
       (1249*f[7, 77])/16 + (153*f[7, 78])/4 - (305*f[7, 79])/8 - 
       (21*f[7, 80])/8 - (65*f[7, 81])/2 + (1011*f[7, 82])/4 + 
       (303*f[7, 83])/2 + (275*f[7, 84])/8 - (1503*f[7, 85])/16 - 
       (1955*f[7, 86])/8 - (883*f[7, 87])/8 + (263*f[7, 88])/8 - 
       (89*f[7, 89])/4 - (217*f[7, 90])/16 + (409*f[7, 91])/4 - 
       (225*f[7, 92])/2 - (1285*f[7, 93])/16 + (109*f[7, 94])/8 - 
       (1359*f[7, 95])/8 + (303*f[7, 96])/8 + (501*f[7, 97])/8 + 
       (501*f[7, 98])/8 - (543*f[7, 99])/8 - (2349*f[7, 100])/4 - 
       (517*f[7, 101])/8 - (699*f[7, 102])/8 - (31*f[7, 103])/4 - 
       (387*f[7, 104])/8 - (143*f[7, 105])/8 + (609*f[7, 106])/2 - 
       335*f[7, 107] + (175*f[7, 108])/2 + (223*f[7, 109])/4 - 
       (345*f[7, 110])/16 - (289*f[7, 111])/4 + (461*f[7, 112])/4 + 
       (331*f[7, 113])/8 + (383*f[7, 114])/8 + (507*f[7, 115])/16 + 
       (219*f[7, 116])/8 - (7041*f[7, 117])/4 - (101*f[7, 118])/16 + 
       (3761*f[7, 119])/16 + 115*f[7, 120] - (321*f[7, 121])/4 + 
       206*f[7, 122] + (135*f[7, 123])/2 - (591*f[7, 124])/4 - 
       128*f[7, 125] + (863*f[7, 126])/8 + f[7, 135] - 9*f[7, 136] + 
       (153*f[7, 137])/2 + (577*f[7, 138])/8 - 20*f[7, 146] - 
       (5*f[7, 147])/2 - (345*f[7, 148])/4 - (1613*f[7, 149])/8 - 
       125*f[7, 150])*SPw2f1[u, v]*SPw4f3[v, u] + 
     (f[7, 37]/2 + f[7, 56]/8 - (5*f[7, 57])/16 - 4*f[7, 58] + 
       (5*f[7, 59])/12 + f[7, 60]/32 - f[7, 61]/16 + (23*f[7, 62])/12 + 
       (23*f[7, 63])/12 - (23*f[7, 64])/12 + (39*f[7, 65])/16 - 
       (23*f[7, 66])/8 + (9*f[7, 67])/16 - (23*f[7, 68])/4 - 
       (23*f[7, 69])/4 + (23*f[7, 70])/16 - (23*f[7, 71])/16 + 
       (23*f[7, 72])/4 - (23*f[7, 73])/4 - (23*f[7, 74])/4 + 
       (89*f[7, 75])/48 + (231*f[7, 76])/32 - (191*f[7, 77])/32 + 
       (23*f[7, 78])/8 - (149*f[7, 79])/48 + (55*f[7, 80])/48 - 
       (41*f[7, 81])/4 + (391*f[7, 82])/24 + (41*f[7, 83])/4 + 
       (131*f[7, 84])/48 - (523*f[7, 85])/96 - (767*f[7, 86])/48 - 
       (335*f[7, 87])/48 + (127*f[7, 88])/48 - (67*f[7, 89])/24 - 
       (37*f[7, 90])/96 + (629*f[7, 91])/24 - (33*f[7, 92])/4 - 
       (433*f[7, 93])/96 + (127*f[7, 94])/16 - (201*f[7, 95])/16 + 
       (81*f[7, 96])/16 + (113*f[7, 97])/48 + (113*f[7, 98])/48 - 
       (211*f[7, 99])/48 - (1289*f[7, 100])/24 - (293*f[7, 101])/48 - 
       (647*f[7, 102])/48 + (41*f[7, 103])/24 - (487*f[7, 104])/48 + 
       (61*f[7, 105])/48 + (319*f[7, 106])/12 - (181*f[7, 107])/6 + 
       (29*f[7, 108])/3 + (55*f[7, 109])/8 - (23*f[7, 110])/32 - 
       (55*f[7, 111])/24 + (57*f[7, 112])/8 + (383*f[7, 113])/48 + 
       (259*f[7, 114])/48 + (647*f[7, 115])/96 + (11*f[7, 116])/48 - 
       (3749*f[7, 117])/24 + (367*f[7, 118])/96 + (2149*f[7, 119])/96 + 
       (17*f[7, 120])/2 - (69*f[7, 121])/8 + (235*f[7, 122])/12 + 
       (21*f[7, 123])/4 - (111*f[7, 124])/8 - (187*f[7, 125])/12 + 
       (407*f[7, 126])/48 - f[7, 136] + (17*f[7, 137])/4 + 
       (65*f[7, 138])/16 - 6*f[7, 146] - (5*f[7, 147])/2 - (85*f[7, 148])/8 - 
       (305*f[7, 149])/16 - (259*f[7, 150])/12)*HPL[{1}, 1 - u]^2*
      SPw4f4[u, v] + (-f[7, 54] + (3*f[7, 56])/2 + (7*f[7, 57])/2 + 
       14*f[7, 58] - (25*f[7, 59])/3 + (3*f[7, 60])/4 + (11*f[7, 61])/2 - 
       (101*f[7, 62])/24 - (101*f[7, 63])/24 + (101*f[7, 64])/24 - 
       (5*f[7, 65])/2 + 6*f[7, 66] - 4*f[7, 67] + 12*f[7, 68] + 12*f[7, 69] - 
       3*f[7, 70] + 3*f[7, 71] - 12*f[7, 72] + 12*f[7, 73] + 12*f[7, 74] - 
       (53*f[7, 75])/6 - (51*f[7, 76])/4 + (53*f[7, 77])/4 - 6*f[7, 78] + 
       (79*f[7, 79])/12 - (37*f[7, 80])/6 + 37*f[7, 81] - (82*f[7, 82])/3 - 
       10*f[7, 83] - (67*f[7, 84])/12 + (91*f[7, 85])/12 + (82*f[7, 86])/3 + 
       (59*f[7, 87])/6 - (83*f[7, 88])/12 + (137*f[7, 89])/24 + 
       (17*f[7, 90])/6 - (499*f[7, 91])/6 + (73*f[7, 92])/4 + 
       (43*f[7, 93])/12 - (95*f[7, 94])/4 + (107*f[7, 95])/4 - 
       (57*f[7, 96])/4 + (23*f[7, 97])/12 + (23*f[7, 98])/12 + 
       (121*f[7, 99])/24 + (374*f[7, 100])/3 + (353*f[7, 101])/24 + 
       (905*f[7, 102])/24 - (71*f[7, 103])/12 + (721*f[7, 104])/24 - 
       (43*f[7, 105])/6 - (355*f[7, 106])/6 + (425*f[7, 107])/6 - 
       (479*f[7, 108])/24 - (93*f[7, 109])/8 + (11*f[7, 110])/8 - 
       (13*f[7, 111])/24 - (111*f[7, 112])/8 - (599*f[7, 113])/24 - 
       (26*f[7, 114])/3 - (191*f[7, 115])/12 - (4*f[7, 116])/3 + 
       (1975*f[7, 117])/6 - (275*f[7, 118])/24 - (571*f[7, 119])/12 - 
       (115*f[7, 120])/8 + (183*f[7, 121])/8 - (1189*f[7, 122])/24 - 
       (95*f[7, 123])/8 + (139*f[7, 124])/4 + (1027*f[7, 125])/24 - 
       (533*f[7, 126])/24 + 3*f[7, 136] - (37*f[7, 137])/2 - 
       (129*f[7, 138])/8 + 20*f[7, 146] + (25*f[7, 147])/2 + 
       (81*f[7, 148])/4 + (99*f[7, 149])/8 + (295*f[7, 150])/6)*
      HPL[{0, 1}, 1 - u]*SPw4f4[u, v] + (-4*f[7, 134] - 2*f[7, 135] + 
       (49*f[7, 136])/2 - (1043*f[7, 137])/4 - (4065*f[7, 138])/16 - 
       2*f[7, 139] - 53*f[7, 146] - (13*f[7, 147])/2 - (2413*f[7, 148])/8 - 
       (11095*f[7, 149])/16 - (10055*f[7, 150])/24)*HPL[{0, 1}, 1 - v]*
      SPw4f4[u, v] + (-f[7, 56]/2 + f[7, 57]/2 + 4*f[7, 58] - 
       (2*f[7, 59])/3 - f[7, 60]/4 - f[7, 61]/2 - (23*f[7, 62])/12 - 
       (23*f[7, 63])/12 + (23*f[7, 64])/12 - (9*f[7, 65])/2 + 5*f[7, 66] + 
       f[7, 67]/2 + 10*f[7, 68] + 10*f[7, 69] - (5*f[7, 70])/2 + 
       (5*f[7, 71])/2 - 10*f[7, 72] + 10*f[7, 73] + 10*f[7, 74] - 
       (7*f[7, 75])/6 - (55*f[7, 76])/4 + (41*f[7, 77])/4 - 5*f[7, 78] + 
       (31*f[7, 79])/6 - f[7, 80]/3 + 10*f[7, 81] - (95*f[7, 82])/3 - 
       20*f[7, 83] - (14*f[7, 84])/3 + (137*f[7, 85])/12 + (92*f[7, 86])/3 + 
       (41*f[7, 87])/3 - (13*f[7, 88])/3 + (41*f[7, 89])/12 + 
       (17*f[7, 90])/12 - (64*f[7, 91])/3 + (29*f[7, 92])/2 + 
       (119*f[7, 93])/12 - (11*f[7, 94])/2 + 22*f[7, 95] - 6*f[7, 96] - 
       (23*f[7, 97])/3 - (23*f[7, 98])/3 + (103*f[7, 99])/12 + 
       (241*f[7, 100])/3 + (107*f[7, 101])/12 + (179*f[7, 102])/12 + 
       f[7, 103]/6 + (115*f[7, 104])/12 + (7*f[7, 105])/6 - 
       (127*f[7, 106])/3 + (137*f[7, 107])/3 - (155*f[7, 108])/12 - 
       (35*f[7, 109])/4 + (5*f[7, 110])/2 + (95*f[7, 111])/12 - 
       (57*f[7, 112])/4 - (95*f[7, 113])/12 - (22*f[7, 114])/3 - 
       (79*f[7, 115])/12 - (8*f[7, 116])/3 + (724*f[7, 117])/3 - 
       (7*f[7, 118])/6 - (395*f[7, 119])/12 - (61*f[7, 120])/4 + 
       (47*f[7, 121])/4 - (349*f[7, 122])/12 - (35*f[7, 123])/4 + 
       (41*f[7, 124])/2 + (235*f[7, 125])/12 - (173*f[7, 126])/12 + 
       2*f[7, 136] - 10*f[7, 137] - 10*f[7, 138] + 4*f[7, 146] + f[7, 147] + 
       12*f[7, 148] + (53*f[7, 149])/2 + (115*f[7, 150])/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*SPw4f4[v, u] + (f[7, 56] - f[7, 57]/2 - 6*f[7, 58] + 
       (4*f[7, 59])/3 + (3*f[7, 60])/4 + f[7, 61]/2 + (71*f[7, 62])/24 + 
       (71*f[7, 63])/24 - (71*f[7, 64])/24 + (9*f[7, 65])/2 - 5*f[7, 66] + 
       f[7, 67]/2 - 10*f[7, 68] - 10*f[7, 69] + (5*f[7, 70])/2 - 
       (5*f[7, 71])/2 + 10*f[7, 72] - 10*f[7, 73] - 10*f[7, 74] + 
       (7*f[7, 75])/3 + (53*f[7, 76])/4 - (41*f[7, 77])/4 + 5*f[7, 78] - 
       (16*f[7, 79])/3 + (17*f[7, 80])/12 - 18*f[7, 81] + (88*f[7, 82])/3 + 
       19*f[7, 83] + (29*f[7, 84])/6 - (121*f[7, 85])/12 - (85*f[7, 86])/3 - 
       (37*f[7, 87])/3 + (25*f[7, 88])/6 - (95*f[7, 89])/24 - 
       (13*f[7, 90])/12 + (205*f[7, 91])/6 - (57*f[7, 92])/4 - 
       (103*f[7, 93])/12 + 11*f[7, 94] - (43*f[7, 95])/2 + (29*f[7, 96])/4 + 
       (79*f[7, 97])/12 + (79*f[7, 98])/12 - (187*f[7, 99])/24 - 
       (254*f[7, 100])/3 - (227*f[7, 101])/24 - (479*f[7, 102])/24 + 
       (11*f[7, 103])/12 - (343*f[7, 104])/24 + (5*f[7, 105])/12 + 
       (271*f[7, 106])/6 - (287*f[7, 107])/6 + (341*f[7, 108])/24 + 
       (79*f[7, 109])/8 - (17*f[7, 110])/8 - (137*f[7, 111])/24 + 
       (103*f[7, 112])/8 + (275*f[7, 113])/24 + (101*f[7, 114])/12 + 
       (29*f[7, 115])/3 + (19*f[7, 116])/12 - (1513*f[7, 117])/6 + 
       (83*f[7, 118])/24 + (421*f[7, 119])/12 + (121*f[7, 120])/8 - 
       (105*f[7, 121])/8 + (751*f[7, 122])/24 + (65*f[7, 123])/8 - 
       (85*f[7, 124])/4 - (541*f[7, 125])/24 + (353*f[7, 126])/24 + 
       2*f[7, 136] + (133*f[7, 137])/4 + (515*f[7, 138])/16 - 2*f[7, 145] - 
       16*f[7, 146] - 10*f[7, 147] + (33*f[7, 148])/4 + (533*f[7, 149])/16 - 
       (479*f[7, 150])/24)*HPL[{0, 1}, 1 - u]*SPw4f4[v, u] + 
     (-f[7, 8] + 2*f[7, 133] - 4*f[7, 134] + (37*f[7, 136])/2 + 
       170*f[7, 137] + (305*f[7, 138])/2 + 2*f[7, 139] - 12*f[7, 145] - 
       39*f[7, 146] - 34*f[7, 147] + (1453*f[7, 148])/8 + 
       (1721*f[7, 149])/4 + 100*f[7, 150])*HPL[{0, 1}, 1 - v]*SPw4f4[v, u] + 
     f[7, 55]*HPL[{1}, 1 - u]^2*SPw4f5[u, v] + 
     (f[7, 45] + f[7, 46] + f[7, 48]/2 + f[7, 49]/4 + (7*f[7, 52])/2 - 
       (3*f[7, 53])/2 - f[7, 54]/4 + (17*f[7, 56])/16 + (99*f[7, 57])/32 - 
       10*f[7, 58] - (3*f[7, 59])/2 + (121*f[7, 60])/64 + (167*f[7, 61])/32 + 
       (15*f[7, 62])/8 + (15*f[7, 63])/8 - (15*f[7, 64])/8 + 
       (79*f[7, 65])/32 + (37*f[7, 66])/16 + (181*f[7, 67])/32 + 
       (61*f[7, 68])/8 + (61*f[7, 69])/8 - (109*f[7, 70])/32 + 
       (109*f[7, 71])/32 - (73*f[7, 72])/8 + (77*f[7, 73])/8 + 
       (65*f[7, 74])/8 + (155*f[7, 75])/32 - (861*f[7, 76])/64 + 
       (841*f[7, 77])/64 - (61*f[7, 78])/16 - (181*f[7, 79])/32 - 
       (85*f[7, 80])/32 - (305*f[7, 81])/4 - (307*f[7, 82])/16 + 
       (201*f[7, 83])/8 - (45*f[7, 84])/32 + (839*f[7, 85])/64 + 
       (1039*f[7, 86])/32 + (479*f[7, 87])/32 - (81*f[7, 88])/32 - 
       (23*f[7, 89])/16 - (115*f[7, 90])/64 + (607*f[7, 91])/16 + 
       (53*f[7, 92])/16 + (241*f[7, 93])/64 + (787*f[7, 94])/32 + 
       (653*f[7, 95])/32 - (59*f[7, 96])/32 - (129*f[7, 97])/32 - 
       (129*f[7, 98])/32 + (415*f[7, 99])/32 + (1277*f[7, 100])/16 + 
       (353*f[7, 101])/32 - (755*f[7, 102])/32 + (11*f[7, 103])/16 - 
       (927*f[7, 104])/32 - (135*f[7, 105])/32 + (47*f[7, 106])/4 + 
       (239*f[7, 107])/4 + (29*f[7, 108])/8 + (281*f[7, 109])/16 - 
       (363*f[7, 110])/64 + (193*f[7, 111])/16 - (141*f[7, 112])/8 + 
       (3*f[7, 113])/32 + (243*f[7, 114])/32 + (1477*f[7, 115])/64 - 
       (301*f[7, 116])/32 + (2241*f[7, 117])/16 + (513*f[7, 118])/64 - 
       (1353*f[7, 119])/64 - (49*f[7, 120])/16 + (99*f[7, 121])/16 - 
       (39*f[7, 122])/4 - (77*f[7, 123])/8 + (249*f[7, 124])/16 + 
       (57*f[7, 125])/8 - (313*f[7, 126])/32 + f[7, 135]/4 - 
       (73*f[7, 136])/2 + 196*f[7, 137] + (371*f[7, 138])/2 + 51*f[7, 146] + 
       (21*f[7, 147])/8 + (3913*f[7, 148])/16 + (9019*f[7, 149])/16 + 
       (5743*f[7, 150])/16)*HPL[{1}, 1 - v]^2*SPw4f5[u, v] + 
     (-f[7, 47]/2 + 2*f[7, 50] + 3*f[7, 52] + 2*f[7, 53] + 4*f[7, 55] + 
       (21*f[7, 56])/8 + (29*f[7, 57])/16 - 11*f[7, 58] - (7*f[7, 59])/12 + 
       (71*f[7, 60])/32 + (81*f[7, 61])/16 + (275*f[7, 62])/48 + 
       (275*f[7, 63])/48 - (275*f[7, 64])/48 + (329*f[7, 65])/16 - 
       (153*f[7, 66])/8 - (65*f[7, 67])/16 - (181*f[7, 68])/4 - 
       (177*f[7, 69])/4 + (193*f[7, 70])/16 - (193*f[7, 71])/16 + 
       (189*f[7, 72])/4 - (185*f[7, 73])/4 - (181*f[7, 74])/4 - 
       (367*f[7, 75])/48 + (2049*f[7, 76])/32 - (1017*f[7, 77])/32 + 
       (177*f[7, 78])/8 - (977*f[7, 79])/48 + (49*f[7, 80])/48 - 
       (31*f[7, 81])/4 + (3577*f[7, 82])/24 + (337*f[7, 83])/4 + 
       (731*f[7, 84])/48 - (5305*f[7, 85])/96 - (7139*f[7, 86])/48 - 
       (3287*f[7, 87])/48 + (703*f[7, 88])/48 - (713*f[7, 89])/48 + 
       (65*f[7, 90])/96 + (1865*f[7, 91])/24 - 64*f[7, 92] - 
       (4843*f[7, 93])/96 + (203*f[7, 94])/16 - (1493*f[7, 95])/16 + 
       (249*f[7, 96])/16 + (1745*f[7, 97])/48 + (1745*f[7, 98])/48 - 
       (965*f[7, 99])/24 - (7211*f[7, 100])/24 - (643*f[7, 101])/24 - 
       (1339*f[7, 102])/24 - (11*f[7, 103])/12 - (88*f[7, 104])/3 - 
       (629*f[7, 105])/48 + (983*f[7, 106])/6 - (1721*f[7, 107])/12 + 
       (2333*f[7, 108])/48 + (533*f[7, 109])/16 - (587*f[7, 110])/32 - 
       (2243*f[7, 111])/48 + (921*f[7, 112])/16 + (679*f[7, 113])/24 + 
       (1501*f[7, 114])/48 + (593*f[7, 115])/96 + (425*f[7, 116])/48 - 
       (21401*f[7, 117])/24 - (17*f[7, 118])/96 + (11539*f[7, 119])/96 + 
       (973*f[7, 120])/16 - (535*f[7, 121])/16 + (4375*f[7, 122])/48 + 
       (457*f[7, 123])/16 - 61*f[7, 124] - (2509*f[7, 125])/48 + 
       (569*f[7, 126])/12 + 4*f[7, 134] + 2*f[7, 135] - (81*f[7, 136])/2 + 
       (1541*f[7, 137])/4 + (5951*f[7, 138])/16 + 2*f[7, 139] + 2*f[7, 145] + 
       61*f[7, 146] + 4*f[7, 147] + (2665*f[7, 148])/8 + 
       (12591*f[7, 149])/16 + (4065*f[7, 150])/8)*HPL[{0, 1}, 1 - v]*
      SPw4f5[u, v] + ((-5*f[7, 55])/2 - (47*f[7, 56])/16 - (47*f[7, 57])/32 - 
       f[7, 58] + (47*f[7, 59])/24 - (141*f[7, 60])/64 - (235*f[7, 61])/32 + 
       (19*f[7, 62])/12 + (19*f[7, 63])/12 - (19*f[7, 64])/12 - 
       (259*f[7, 65])/32 + (59*f[7, 66])/16 + (75*f[7, 67])/32 + 
       (59*f[7, 68])/8 + (59*f[7, 69])/8 - (27*f[7, 70])/32 + 
       (27*f[7, 71])/32 - (59*f[7, 72])/8 + (59*f[7, 73])/8 + 
       (59*f[7, 74])/8 + (137*f[7, 75])/24 - (731*f[7, 76])/64 - 
       (69*f[7, 77])/64 - (59*f[7, 78])/16 + (401*f[7, 79])/48 + 
       (287*f[7, 80])/48 + (89*f[7, 81])/4 - (1925*f[7, 82])/48 - 
       (383*f[7, 83])/8 - (79*f[7, 84])/24 + (2573*f[7, 85])/192 + 
       (1439*f[7, 86])/48 + (767*f[7, 87])/48 - (4*f[7, 88])/3 + 
       (83*f[7, 89])/48 + (419*f[7, 90])/192 + (815*f[7, 91])/48 + 
       (525*f[7, 92])/32 + (3563*f[7, 93])/192 + (75*f[7, 94])/16 + 
       (107*f[7, 95])/8 + (199*f[7, 96])/32 - (1717*f[7, 97])/96 - 
       (1621*f[7, 98])/96 + (295*f[7, 99])/48 - (323*f[7, 100])/48 - 
       (503*f[7, 101])/96 + (109*f[7, 102])/24 + (311*f[7, 103])/48 + 
       (449*f[7, 104])/96 + (343*f[7, 105])/24 - (809*f[7, 106])/24 - 
       (163*f[7, 107])/12 - (323*f[7, 108])/48 - (45*f[7, 109])/4 + 
       (653*f[7, 110])/64 + (629*f[7, 111])/48 - (171*f[7, 112])/16 + 
       (433*f[7, 113])/48 - (191*f[7, 114])/24 - (721*f[7, 115])/192 - 
       (61*f[7, 116])/24 + (4081*f[7, 117])/48 + (1483*f[7, 118])/192 - 
       (1373*f[7, 119])/192 - (233*f[7, 120])/16 - (3*f[7, 121])/2 - 
       (277*f[7, 122])/48 - (43*f[7, 123])/16 + (19*f[7, 124])/16 - 
       (175*f[7, 125])/24 - (191*f[7, 126])/48 - f[7, 136]/4 - 
       (59*f[7, 137])/8 - (47*f[7, 138])/32 + f[7, 146] + (3*f[7, 147])/4 + 
       3*f[7, 148] + (543*f[7, 149])/32 - (349*f[7, 150])/48)*
      HPL[{1}, 1 - v]^2*SPw4f5[v, u] + (f[7, 47]/4 - f[7, 56]/16 - 
       (13*f[7, 57])/32 - f[7, 58]/2 + (23*f[7, 59])/24 - (7*f[7, 60])/64 - 
       f[7, 61]/32 - f[7, 62]/96 - f[7, 63]/96 + f[7, 64]/96 + 
       (39*f[7, 65])/32 - (23*f[7, 66])/16 - (15*f[7, 67])/32 - 
       (23*f[7, 68])/8 - (23*f[7, 69])/8 + (23*f[7, 70])/32 - 
       (23*f[7, 71])/32 + (23*f[7, 72])/8 - (23*f[7, 73])/8 - 
       (23*f[7, 74])/8 + (5*f[7, 75])/96 + (255*f[7, 76])/64 - 
       (191*f[7, 77])/64 + (23*f[7, 78])/16 - (137*f[7, 79])/96 - 
       (23*f[7, 80])/96 - (7*f[7, 81])/8 + (475*f[7, 82])/48 + 
       (47*f[7, 83])/8 + (131*f[7, 84])/96 - (715*f[7, 85])/192 - 
       (899*f[7, 86])/96 - (407*f[7, 87])/96 + (127*f[7, 88])/96 - 
       (53*f[7, 89])/96 - (181*f[7, 90])/192 - (13*f[7, 91])/48 - 
       (69*f[7, 92])/16 - (625*f[7, 93])/192 - (33*f[7, 94])/32 - 
       (209*f[7, 95])/32 + (31*f[7, 96])/32 + (275*f[7, 97])/96 + 
       (275*f[7, 98])/96 - (119*f[7, 99])/48 - (965*f[7, 100])/48 - 
       (53*f[7, 101])/24 - (97*f[7, 102])/48 - (5*f[7, 103])/6 - 
       (29*f[7, 104])/48 - (125*f[7, 105])/96 + (67*f[7, 106])/6 - 
       (281*f[7, 107])/24 + (233*f[7, 108])/96 + (41*f[7, 109])/32 - 
       (69*f[7, 110])/64 - (311*f[7, 111])/96 + (157*f[7, 112])/32 + 
       (31*f[7, 113])/48 + (109*f[7, 114])/96 + (83*f[7, 115])/192 + 
       (161*f[7, 116])/96 - (2867*f[7, 117])/48 - (383*f[7, 118])/192 + 
       (1501*f[7, 119])/192 + (161*f[7, 120])/32 - (91*f[7, 121])/32 + 
       (739*f[7, 122])/96 + (81*f[7, 123])/32 - (43*f[7, 124])/8 - 
       (397*f[7, 125])/96 + (107*f[7, 126])/24 - f[7, 136]/4 + 
       (23*f[7, 137])/8 + (85*f[7, 138])/32 - f[7, 146]/2 - 
       (51*f[7, 148])/16 - (243*f[7, 149])/32 - (199*f[7, 150])/48)*
      HPL[{0, 1}, 1 - u]*SPw4f6[u, v] + (2*f[7, 52] + (5*f[7, 56])/8 - 
       (7*f[7, 57])/16 - (7*f[7, 58])/2 - (5*f[7, 59])/12 + (3*f[7, 60])/32 + 
       (13*f[7, 61])/16 + (55*f[7, 62])/48 + (55*f[7, 63])/48 - 
       (55*f[7, 64])/48 + (65*f[7, 65])/16 - (31*f[7, 66])/8 + f[7, 67]/16 - 
       (31*f[7, 68])/4 - (31*f[7, 69])/4 + (35*f[7, 70])/16 - 
       (35*f[7, 71])/16 + (31*f[7, 72])/4 - (37*f[7, 73])/4 - 
       (31*f[7, 74])/4 - f[7, 75]/96 + (337*f[7, 76])/32 - 
       (165*f[7, 77])/32 + (31*f[7, 78])/8 - (473*f[7, 79])/96 - 
       (107*f[7, 80])/96 - (89*f[7, 81])/8 + (161*f[7, 82])/6 + 21*f[7, 83] + 
       (341*f[7, 84])/96 - (445*f[7, 85])/48 - (2303*f[7, 86])/96 - 
       (1055*f[7, 87])/96 + (301*f[7, 88])/96 - (151*f[7, 89])/48 - 
       (91*f[7, 90])/48 + (397*f[7, 91])/24 - (393*f[7, 92])/32 - 
       (403*f[7, 93])/48 + (201*f[7, 94])/32 - (511*f[7, 95])/32 + 
       (63*f[7, 96])/16 + (301*f[7, 97])/48 + (301*f[7, 98])/48 - 
       (637*f[7, 99])/96 - (1297*f[7, 100])/24 - (223*f[7, 101])/48 - 
       (1277*f[7, 102])/96 + (29*f[7, 103])/48 - (431*f[7, 104])/48 - 
       (329*f[7, 105])/96 + (437*f[7, 106])/12 - (295*f[7, 107])/12 + 
       (127*f[7, 108])/12 + 10*f[7, 109] - (53*f[7, 110])/8 - 
       (355*f[7, 111])/48 + (163*f[7, 112])/16 + (341*f[7, 113])/96 + 
       (673*f[7, 114])/96 + (139*f[7, 115])/24 + (89*f[7, 116])/96 - 
       (4069*f[7, 117])/24 + (29*f[7, 118])/24 + (2219*f[7, 119])/96 + 
       (103*f[7, 120])/8 - (15*f[7, 121])/2 + (487*f[7, 122])/24 + 
       (49*f[7, 123])/8 - (107*f[7, 124])/8 - (587*f[7, 125])/48 + 
       (917*f[7, 126])/96 - f[7, 133]/2 - f[7, 135]/4 - (385*f[7, 137])/8 - 
       (1285*f[7, 138])/32 + f[7, 145] - 8*f[7, 146] + (19*f[7, 147])/8 - 
       (515*f[7, 148])/8 - (5285*f[7, 149])/32 - (425*f[7, 150])/6)*
      HPL[{0, 1}, 1 - v]*SPw4f7[u, v] + (f[7, 56]/4 + (9*f[7, 57])/8 + 
       14*f[7, 58] - (13*f[7, 59])/6 + (3*f[7, 60])/16 + (13*f[7, 61])/8 - 
       (151*f[7, 62])/24 - (151*f[7, 63])/24 + (151*f[7, 64])/24 - 
       (51*f[7, 65])/8 + (35*f[7, 66])/4 - (21*f[7, 67])/8 + 
       (35*f[7, 68])/2 + (35*f[7, 69])/2 - (35*f[7, 70])/8 + 
       (35*f[7, 71])/8 - (35*f[7, 72])/2 + (35*f[7, 73])/2 + 
       (35*f[7, 74])/2 - (169*f[7, 75])/24 - (347*f[7, 76])/16 + 
       (299*f[7, 77])/16 - (35*f[7, 78])/4 + (229*f[7, 79])/24 - 
       (113*f[7, 80])/24 + (69*f[7, 81])/2 - (575*f[7, 82])/12 - 
       (55*f[7, 83])/2 - (199*f[7, 84])/24 + (743*f[7, 85])/48 + 
       (1135*f[7, 86])/24 + (475*f[7, 87])/24 - (203*f[7, 88])/24 + 
       (205*f[7, 89])/24 + (65*f[7, 90])/48 - (1087*f[7, 91])/12 + 
       (103*f[7, 92])/4 + (581*f[7, 93])/48 - (215*f[7, 94])/8 + 
       (309*f[7, 95])/8 - (135*f[7, 96])/8 - (103*f[7, 97])/24 - 
       (103*f[7, 98])/24 + (151*f[7, 99])/12 + (2041*f[7, 100])/12 + 
       (59*f[7, 101])/3 + (533*f[7, 102])/12 - (19*f[7, 103])/3 + 
       (409*f[7, 104])/12 - (143*f[7, 105])/24 - (247*f[7, 106])/3 + 
       (577*f[7, 107])/6 - (721*f[7, 108])/24 - (165*f[7, 109])/8 + 
       (33*f[7, 110])/16 + (127*f[7, 111])/24 - (169*f[7, 112])/8 - 
       (329*f[7, 113])/12 - (389*f[7, 114])/24 - (1015*f[7, 115])/48 - 
       (13*f[7, 116])/24 + (5791*f[7, 117])/12 - (629*f[7, 118])/48 - 
       (3329*f[7, 119])/48 - (205*f[7, 120])/8 + (223*f[7, 121])/8 - 
       (1499*f[7, 122])/24 - (133*f[7, 123])/8 + (89*f[7, 124])/2 + 
       (1229*f[7, 125])/24 - (163*f[7, 126])/6 + 2*f[7, 136] - 8*f[7, 137] - 
       (31*f[7, 138])/4 + 24*f[7, 146] + 11*f[7, 147] + (167*f[7, 148])/4 + 
       (279*f[7, 149])/4 + (985*f[7, 150])/12)*SPw2f1[u, v]*SPw4f7[u, v] + 
     (f[7, 56] - f[7, 57]/2 + 2*f[7, 58] - (2*f[7, 59])/3 + (3*f[7, 60])/4 + 
       (3*f[7, 61])/2 - (13*f[7, 62])/24 - (13*f[7, 63])/24 + 
       (13*f[7, 64])/24 + (3*f[7, 65])/2 - f[7, 66] - (3*f[7, 67])/2 - 
       2*f[7, 68] - 2*f[7, 69] + f[7, 70]/2 - f[7, 71]/2 + 2*f[7, 72] - 
       2*f[7, 73] - 2*f[7, 74] - (13*f[7, 75])/6 + (15*f[7, 76])/4 - 
       (7*f[7, 77])/4 + f[7, 78] - (5*f[7, 79])/6 - (19*f[7, 80])/12 + 
       6*f[7, 81] + (28*f[7, 82])/3 + 7*f[7, 83] + (5*f[7, 84])/6 - 
       (49*f[7, 85])/12 - (53*f[7, 86])/6 - (29*f[7, 87])/6 + f[7, 88]/6 + 
       f[7, 89]/24 - f[7, 90]/12 - (83*f[7, 91])/6 - (11*f[7, 92])/4 - 
       (49*f[7, 93])/12 - 5*f[7, 94] - 4*f[7, 95] - (7*f[7, 96])/4 + 
       (55*f[7, 97])/12 + (55*f[7, 98])/12 - (67*f[7, 99])/24 - 
       (20*f[7, 100])/3 - (11*f[7, 101])/24 + (85*f[7, 102])/24 - 
       (25*f[7, 103])/12 + (101*f[7, 104])/24 - (43*f[7, 105])/12 + 
       (31*f[7, 106])/6 - (23*f[7, 107])/6 + (5*f[7, 108])/24 + 
       (3*f[7, 109])/8 - (9*f[7, 110])/8 - (113*f[7, 111])/24 + 
       (31*f[7, 112])/8 - (85*f[7, 113])/24 + (11*f[7, 114])/12 - 
       (11*f[7, 115])/6 + (19*f[7, 116])/12 - (181*f[7, 117])/6 - 
       (85*f[7, 118])/24 + (37*f[7, 119])/12 + (29*f[7, 120])/8 + 
       (7*f[7, 121])/8 + (7*f[7, 122])/24 + (5*f[7, 123])/8 + f[7, 124]/4 + 
       (83*f[7, 125])/24 + (29*f[7, 126])/24 - 2*f[7, 136] + 11*f[7, 137] + 
       (21*f[7, 138])/2 + 8*f[7, 146] + 4*f[7, 147] + (47*f[7, 148])/4 + 
       (69*f[7, 149])/4 + (301*f[7, 150])/12)*HPL[{1}, 1 - u]*SPw5f10[v, u] + 
     (f[7, 25] + f[7, 29] + f[7, 51] + 4*f[7, 52] + f[7, 54] - 
       (3*f[7, 56])/8 - (27*f[7, 57])/16 - 23*f[7, 58] + f[7, 59]/4 - 
       (33*f[7, 60])/32 - (39*f[7, 61])/16 + (121*f[7, 62])/16 + 
       (121*f[7, 63])/16 - (121*f[7, 64])/16 + (225*f[7, 65])/16 - 
       (113*f[7, 66])/8 + (47*f[7, 67])/16 - (137*f[7, 68])/4 - 
       (137*f[7, 69])/4 + (137*f[7, 70])/16 - (137*f[7, 71])/16 + 
       (129*f[7, 72])/4 - (137*f[7, 73])/4 - (129*f[7, 74])/4 + 
       (157*f[7, 75])/16 + (1505*f[7, 76])/32 - (937*f[7, 77])/32 + 
       (137*f[7, 78])/8 - (353*f[7, 79])/16 + (17*f[7, 80])/16 - 
       (295*f[7, 81])/4 + (863*f[7, 82])/8 + (277*f[7, 83])/4 + 
       (279*f[7, 84])/16 - (1135*f[7, 85])/32 - (1599*f[7, 86])/16 - 
       (715*f[7, 87])/16 + (283*f[7, 88])/16 - (251*f[7, 89])/16 - 
       (289*f[7, 90])/32 + (995*f[7, 91])/8 - (455*f[7, 92])/8 - 
       (973*f[7, 93])/32 + (561*f[7, 94])/16 - (1159*f[7, 95])/16 + 
       (413*f[7, 96])/16 + (307*f[7, 97])/16 + (307*f[7, 98])/16 - 
       (57*f[7, 99])/2 - (2313*f[7, 100])/8 - (235*f[7, 101])/8 - 
       70*f[7, 102] + (35*f[7, 103])/4 - (109*f[7, 104])/2 - 
       (41*f[7, 105])/16 + 171*f[7, 106] - (607*f[7, 107])/4 + 
       (923*f[7, 108])/16 + (761*f[7, 109])/16 - (415*f[7, 110])/32 - 
       (265*f[7, 111])/16 + (717*f[7, 112])/16 + (135*f[7, 113])/4 + 
       (525*f[7, 114])/16 + (1303*f[7, 115])/32 + (53*f[7, 116])/16 - 
       (6995*f[7, 117])/8 + (457*f[7, 118])/32 + (3929*f[7, 119])/32 + 
       (973*f[7, 120])/16 - (811*f[7, 121])/16 + (1921*f[7, 122])/16 + 
       (565*f[7, 123])/16 - 86*f[7, 124] - (1471*f[7, 125])/16 + 
       (429*f[7, 126])/8 + f[7, 136] + 47*f[7, 137] + 43*f[7, 138] - 
       2*f[7, 145] - 48*f[7, 146] - (53*f[7, 147])/2 - (177*f[7, 148])/4 - 
       (423*f[7, 149])/8 - (245*f[7, 150])/2)*HPL[{1}, 1 - v]*SPw5f10[v, u] + 
     (-f[7, 47]/2 + 2*f[7, 50] + f[7, 52] + 2*f[7, 53] + 4*f[7, 55] + 
       (11*f[7, 56])/8 + (3*f[7, 57])/16 + 2*f[7, 58] - (7*f[7, 59])/4 + 
       (9*f[7, 60])/32 + (15*f[7, 61])/16 + f[7, 62]/4 + f[7, 63]/4 - 
       f[7, 64]/4 + (271*f[7, 65])/16 - (155*f[7, 66])/8 - 
       (187*f[7, 67])/16 - (183*f[7, 68])/4 - (179*f[7, 69])/4 + 
       (179*f[7, 70])/16 - (179*f[7, 71])/16 + (191*f[7, 72])/4 - 
       (179*f[7, 73])/4 - (183*f[7, 74])/4 - (169*f[7, 75])/16 + 
       (2167*f[7, 76])/32 - (1311*f[7, 77])/32 + (179*f[7, 78])/8 - 
       (285*f[7, 79])/16 - (97*f[7, 80])/16 + (193*f[7, 81])/4 + 
       (1293*f[7, 82])/8 + (367*f[7, 83])/4 + (267*f[7, 84])/16 - 
       (2033*f[7, 85])/32 - (2589*f[7, 86])/16 - (1225*f[7, 87])/16 + 
       (271*f[7, 88])/16 - (75*f[7, 89])/8 - (43*f[7, 90])/32 + 
       (119*f[7, 91])/8 - (255*f[7, 92])/4 - (1835*f[7, 93])/32 - 
       (247*f[7, 94])/16 - (1599*f[7, 95])/16 + (133*f[7, 96])/16 + 
       (683*f[7, 97])/16 + (683*f[7, 98])/16 - (737*f[7, 99])/16 - 
       (2475*f[7, 100])/8 - (499*f[7, 101])/16 - (425*f[7, 102])/16 - 
       (67*f[7, 103])/8 - (37*f[7, 104])/16 - (331*f[7, 105])/16 + 
       (599*f[7, 106])/4 - (335*f[7, 107])/2 + (79*f[7, 108])/2 + 
       (159*f[7, 109])/8 - (407*f[7, 110])/32 - (457*f[7, 111])/8 + 
       72*f[7, 112] + (111*f[7, 113])/16 + (359*f[7, 114])/16 - 
       (335*f[7, 115])/32 + (351*f[7, 116])/16 - (7215*f[7, 117])/8 - 
       (455*f[7, 118])/32 + (3703*f[7, 119])/32 + (121*f[7, 120])/2 - 
       (253*f[7, 121])/8 + (367*f[7, 122])/4 + (69*f[7, 123])/2 - 
       (529*f[7, 124])/8 - 44*f[7, 125] + (879*f[7, 126])/16 - 11*f[7, 136] + 
       (359*f[7, 137])/4 + (1293*f[7, 138])/16 + 2*f[7, 145] + 26*f[7, 146] + 
       (31*f[7, 147])/2 + (19*f[7, 148])/4 - (143*f[7, 149])/16 + 
       (429*f[7, 150])/8)*HPL[{1}, 1 - v]*SPw5f11[u, v] + 
     f[7, 61]*HPL[{1}, 1 - u]*SPw5f12[u, v] + 
     (-f[7, 25] - 4*f[7, 52] + (3*f[7, 56])/8 + (27*f[7, 57])/16 + 
       17*f[7, 58] - f[7, 59]/4 + (33*f[7, 60])/32 + (39*f[7, 61])/16 - 
       (99*f[7, 62])/16 - (99*f[7, 63])/16 + (99*f[7, 64])/16 - 
       (193*f[7, 65])/16 + (97*f[7, 66])/8 - (7*f[7, 67])/16 + 
       (129*f[7, 68])/4 + (129*f[7, 69])/4 - (129*f[7, 70])/16 + 
       (129*f[7, 71])/16 - (113*f[7, 72])/4 + (121*f[7, 73])/4 + 
       (113*f[7, 74])/4 - (97*f[7, 75])/16 - (1521*f[7, 76])/32 + 
       (873*f[7, 77])/32 - (129*f[7, 78])/8 + (305*f[7, 79])/16 - 
       (13*f[7, 80])/16 + (187*f[7, 81])/4 - (847*f[7, 82])/8 - 
       (253*f[7, 83])/4 - (255*f[7, 84])/16 + (1159*f[7, 85])/32 + 
       (1635*f[7, 86])/16 + (743*f[7, 87])/16 - (259*f[7, 88])/16 + 
       (213*f[7, 89])/16 + (225*f[7, 90])/32 - (775*f[7, 91])/8 + 
       (427*f[7, 92])/8 + (1045*f[7, 93])/32 - (401*f[7, 94])/16 + 
       (1127*f[7, 95])/16 - (345*f[7, 96])/16 - (319*f[7, 97])/16 - 
       (319*f[7, 98])/16 + (235*f[7, 99])/8 + (2113*f[7, 100])/8 + 
       (53*f[7, 101])/2 + (447*f[7, 102])/8 - (13*f[7, 103])/2 + 
       (333*f[7, 104])/8 + (61*f[7, 105])/16 - (307*f[7, 106])/2 + 
       (553*f[7, 107])/4 - (809*f[7, 108])/16 - (615*f[7, 109])/16 + 
       (387*f[7, 110])/32 + (319*f[7, 111])/16 - (719*f[7, 112])/16 - 
       (235*f[7, 113])/8 - (457*f[7, 114])/16 - (959*f[7, 115])/32 - 
       (89*f[7, 116])/16 + (6359*f[7, 117])/8 - (309*f[7, 118])/32 - 
       (3545*f[7, 119])/32 - (895*f[7, 120])/16 + (717*f[7, 121])/16 - 
       (1723*f[7, 122])/16 - (519*f[7, 123])/16 + (309*f[7, 124])/4 + 
       (1277*f[7, 125])/16 - 50*f[7, 126] - f[7, 135] + f[7, 136] - 
       (179*f[7, 137])/4 - (633*f[7, 138])/16 + 32*f[7, 146] + 22*f[7, 147] + 
       (97*f[7, 148])/2 + (695*f[7, 149])/16 + (1877*f[7, 150])/24)*
      HPL[{1}, 1 - v]*SPw5f12[v, u] + (-f[7, 29] - f[7, 51] - f[7, 54] + 
       6*f[7, 58] - (11*f[7, 62])/8 - (11*f[7, 63])/8 + (11*f[7, 64])/8 - 
       3*f[7, 65] + 2*f[7, 66] - (3*f[7, 67])/2 + 6*f[7, 68] + 6*f[7, 69] - 
       (3*f[7, 70])/2 + (3*f[7, 71])/2 - 6*f[7, 72] + 6*f[7, 73] + 
       6*f[7, 74] - (11*f[7, 75])/4 - (15*f[7, 76])/2 + (9*f[7, 77])/2 - 
       3*f[7, 78] + 5*f[7, 79] - f[7, 80]/4 + 23*f[7, 81] - 20*f[7, 82] - 
       16*f[7, 83] - (7*f[7, 84])/2 + (23*f[7, 85])/4 + (65*f[7, 86])/4 + 
       (29*f[7, 87])/4 - (7*f[7, 88])/2 + (23*f[7, 89])/8 + 2*f[7, 90] - 
       (59*f[7, 91])/2 + (23*f[7, 92])/2 + (21*f[7, 93])/4 - 
       (17*f[7, 94])/2 + (25*f[7, 95])/2 - (17*f[7, 96])/4 - 
       (13*f[7, 97])/4 - (13*f[7, 98])/4 + (33*f[7, 99])/8 + 47*f[7, 100] + 
       (35*f[7, 101])/8 + (125*f[7, 102])/8 - (5*f[7, 103])/4 + 
       (107*f[7, 104])/8 + (3*f[7, 105])/4 - (67*f[7, 106])/2 + 
       (47*f[7, 107])/2 - (89*f[7, 108])/8 - (77*f[7, 109])/8 + 
       (23*f[7, 110])/8 + (13*f[7, 111])/8 - (63*f[7, 112])/8 - 
       (51*f[7, 113])/8 - (25*f[7, 114])/4 - (41*f[7, 115])/4 - 
       (3*f[7, 116])/4 + (311*f[7, 117])/2 - (25*f[7, 118])/8 - 
       (43*f[7, 119])/2 - (91*f[7, 120])/8 + (79*f[7, 121])/8 - 
       (191*f[7, 122])/8 - (55*f[7, 123])/8 + (67*f[7, 124])/4 + 
       (145*f[7, 125])/8 - (85*f[7, 126])/8 + f[7, 135] + 2*f[7, 136] + 
       6*f[7, 137] + (19*f[7, 138])/4 + 8*f[7, 146] + (5*f[7, 147])/2 + 
       (75*f[7, 148])/4 + 46*f[7, 149] + (151*f[7, 150])/4)*HPL[{1}, 1 - v]*
      SPw5f15[v, u] + (-f[7, 56]/8 + (5*f[7, 57])/16 + 4*f[7, 58] - 
       (5*f[7, 59])/12 - f[7, 60]/32 + f[7, 61]/16 - (23*f[7, 62])/12 - 
       (23*f[7, 63])/12 + (23*f[7, 64])/12 - (39*f[7, 65])/16 + 
       (23*f[7, 66])/8 - (9*f[7, 67])/16 + (23*f[7, 68])/4 + 
       (23*f[7, 69])/4 - (23*f[7, 70])/16 + (23*f[7, 71])/16 - 
       (23*f[7, 72])/4 + (23*f[7, 73])/4 + (23*f[7, 74])/4 - 
       (89*f[7, 75])/48 - (231*f[7, 76])/32 + (191*f[7, 77])/32 - 
       (23*f[7, 78])/8 + (149*f[7, 79])/48 - (55*f[7, 80])/48 + 
       (41*f[7, 81])/4 - (391*f[7, 82])/24 - (41*f[7, 83])/4 - 
       (131*f[7, 84])/48 + (523*f[7, 85])/96 + (767*f[7, 86])/48 + 
       (335*f[7, 87])/48 - (127*f[7, 88])/48 + (67*f[7, 89])/24 + 
       (37*f[7, 90])/96 - (629*f[7, 91])/24 + (33*f[7, 92])/4 + 
       (433*f[7, 93])/96 - (127*f[7, 94])/16 + (201*f[7, 95])/16 - 
       (81*f[7, 96])/16 - (113*f[7, 97])/48 - (113*f[7, 98])/48 + 
       (211*f[7, 99])/48 + (1289*f[7, 100])/24 + (293*f[7, 101])/48 + 
       (647*f[7, 102])/48 - (41*f[7, 103])/24 + (487*f[7, 104])/48 - 
       (61*f[7, 105])/48 - (319*f[7, 106])/12 + (181*f[7, 107])/6 - 
       (29*f[7, 108])/3 - (55*f[7, 109])/8 + (23*f[7, 110])/32 + 
       (55*f[7, 111])/24 - (57*f[7, 112])/8 - (383*f[7, 113])/48 - 
       (259*f[7, 114])/48 - (647*f[7, 115])/96 - (11*f[7, 116])/48 + 
       (3749*f[7, 117])/24 - (367*f[7, 118])/96 - (2149*f[7, 119])/96 - 
       (17*f[7, 120])/2 + (69*f[7, 121])/8 - (235*f[7, 122])/12 - 
       (21*f[7, 123])/4 + (111*f[7, 124])/8 + (187*f[7, 125])/12 - 
       (407*f[7, 126])/48 + f[7, 136] - (17*f[7, 137])/4 - 
       (65*f[7, 138])/16 + 6*f[7, 146] + (5*f[7, 147])/2 + (85*f[7, 148])/8 + 
       (305*f[7, 149])/16 + (259*f[7, 150])/12)*HPL[{1}, 1 - u]*
      SPw5f16[u, v] + (-f[7, 65]/4 + f[7, 66]/4 + f[7, 67]/8 + 2*f[7, 68] + 
       (3*f[7, 69])/2 - (3*f[7, 70])/8 + (3*f[7, 71])/8 - (3*f[7, 72])/2 + 
       (3*f[7, 73])/2 + (3*f[7, 74])/2 - (3*f[7, 75])/16 - (5*f[7, 76])/2 + 
       (5*f[7, 77])/8 - (3*f[7, 78])/4 + f[7, 79] + (3*f[7, 80])/8 - 
       f[7, 81]/4 - (27*f[7, 82])/4 - (21*f[7, 83])/4 - f[7, 84] + 
       (39*f[7, 85])/16 + (97*f[7, 86])/16 + (49*f[7, 87])/16 - f[7, 88] + 
       f[7, 89]/8 + (3*f[7, 90])/8 - f[7, 91]/2 + (43*f[7, 92])/16 + 
       (47*f[7, 93])/16 + f[7, 94]/4 + 4*f[7, 95] - f[7, 96]/4 - 
       (5*f[7, 97])/2 - (5*f[7, 98])/2 + (29*f[7, 99])/16 + 7*f[7, 100] + 
       f[7, 101]/4 + (17*f[7, 102])/16 + (3*f[7, 103])/8 + (3*f[7, 104])/4 + 
       f[7, 105] - 8*f[7, 106] + (5*f[7, 107])/2 - 2*f[7, 108] - 
       (7*f[7, 109])/8 + (13*f[7, 110])/16 + (7*f[7, 111])/4 - 
       (55*f[7, 112])/16 - f[7, 113]/4 - f[7, 114] - (3*f[7, 115])/4 - 
       (3*f[7, 116])/2 + 30*f[7, 117] + f[7, 118]/4 - (29*f[7, 119])/8 - 
       (23*f[7, 120])/8 + 2*f[7, 121] - (47*f[7, 122])/8 - 2*f[7, 123] + 
       4*f[7, 124] + (13*f[7, 125])/4 - (7*f[7, 126])/2 - (3*f[7, 137])/2 - 
       (27*f[7, 138])/16 - f[7, 145] + (29*f[7, 148])/16 + (17*f[7, 149])/4 + 
       (51*f[7, 150])/16)*HPL[{1}, 1 - v]*SPw5f2[u, v] + 
     (-f[7, 138]/16 - f[7, 145] - (5*f[7, 148])/16 - (15*f[7, 150])/16)*
      HPL[{1}, 1 - v]*SPw5f2[v, u] + (-f[7, 31] + f[7, 33])*HPL[{1}, 1 - u]*
      SPw5f3[u, v] - f[7, 26]*HPL[{1}, 1 - v]*SPw5f3[v, u] - 
     f[7, 37]*HPL[{1}, 1 - u]*SPw5f4[u, v] + 
     (f[7, 56]/2 + f[7, 57]/4 + 2*f[7, 58] - f[7, 59]/3 + (3*f[7, 60])/8 + 
       (5*f[7, 61])/4 - (17*f[7, 62])/24 - (17*f[7, 63])/24 + 
       (17*f[7, 64])/24 - (3*f[7, 65])/4 + (3*f[7, 66])/2 - f[7, 67]/4 + 
       3*f[7, 68] + 3*f[7, 69] - (3*f[7, 70])/4 + (3*f[7, 71])/4 - 
       3*f[7, 72] + 3*f[7, 73] + 3*f[7, 74] - (19*f[7, 75])/12 - 
       (27*f[7, 76])/8 + (27*f[7, 77])/8 - (3*f[7, 78])/2 + 
       (19*f[7, 79])/12 - (2*f[7, 80])/3 + 3*f[7, 81] - (53*f[7, 82])/6 - 
       4*f[7, 83] - (19*f[7, 84])/12 + (71*f[7, 85])/24 + (97*f[7, 86])/12 + 
       (37*f[7, 87])/12 - (23*f[7, 88])/12 + (29*f[7, 89])/24 + 
       (29*f[7, 90])/24 - (41*f[7, 91])/3 + (19*f[7, 92])/4 + 
       (53*f[7, 93])/24 - (13*f[7, 94])/4 + (29*f[7, 95])/4 - 
       (7*f[7, 96])/2 - f[7, 97]/3 - f[7, 98]/3 + (55*f[7, 99])/24 + 
       (175*f[7, 100])/6 + (83*f[7, 101])/24 + (155*f[7, 102])/24 - 
       (11*f[7, 103])/12 + (115*f[7, 104])/24 - (7*f[7, 105])/6 - 
       (79*f[7, 106])/6 + (101*f[7, 107])/6 - (107*f[7, 108])/24 - 
       (21*f[7, 109])/8 + f[7, 110]/2 + (35*f[7, 111])/24 - 
       (37*f[7, 112])/8 - (95*f[7, 113])/24 - (5*f[7, 114])/3 - 
       (61*f[7, 115])/24 - (5*f[7, 116])/6 + (239*f[7, 117])/3 - 
       (25*f[7, 118])/12 - (269*f[7, 119])/24 - (31*f[7, 120])/8 + 
       (43*f[7, 121])/8 - (289*f[7, 122])/24 - (31*f[7, 123])/8 + 
       (37*f[7, 124])/4 + (235*f[7, 125])/24 - (137*f[7, 126])/24 - 
       f[7, 137]/2 + f[7, 138]/8 + 4*f[7, 146] + 2*f[7, 147] + 
       (17*f[7, 148])/2 + (111*f[7, 149])/8 + (209*f[7, 150])/12)*
      HPL[{1}, 1 - u]*SPw5f5[u, v] + (-f[7, 25] - f[7, 135])*HPL[{1}, 1 - v]*
      SPw5f5[u, v] + (f[7, 50]/2 + f[7, 53]/2 + f[7, 55]/2 - (5*f[7, 65])/4 + 
       (3*f[7, 66])/4 + (3*f[7, 67])/8 - f[7, 68] - f[7, 69]/2 - f[7, 70]/8 + 
       f[7, 71]/8 + (3*f[7, 72])/4 - (3*f[7, 73])/4 - (3*f[7, 74])/4 + 
       (19*f[7, 75])/32 + (29*f[7, 76])/16 + (5*f[7, 77])/8 + f[7, 78]/4 - 
       (25*f[7, 79])/32 - (13*f[7, 80])/32 - (3*f[7, 81])/8 + 
       (39*f[7, 82])/8 + f[7, 83]/4 + (25*f[7, 84])/32 - (47*f[7, 85])/32 - 
       (111*f[7, 86])/32 - (63*f[7, 87])/32 + (25*f[7, 88])/32 + 
       (5*f[7, 89])/8 - (13*f[7, 90])/32 + 4*f[7, 91] - (89*f[7, 92])/32 - 
       (43*f[7, 93])/32 - (5*f[7, 94])/32 - (65*f[7, 95])/32 - 
       (3*f[7, 96])/8 + (13*f[7, 97])/8 + (13*f[7, 98])/8 - 
       (31*f[7, 99])/32 + (9*f[7, 100])/4 + (17*f[7, 101])/16 + 
       (7*f[7, 102])/32 - (7*f[7, 103])/16 - (5*f[7, 104])/8 - 
       (25*f[7, 105])/32 + (25*f[7, 106])/4 + 2*f[7, 107] + 
       (25*f[7, 108])/16 + (3*f[7, 109])/16 - (15*f[7, 110])/32 - 
       f[7, 111]/4 + (19*f[7, 112])/8 - f[7, 113]/32 + (25*f[7, 114])/32 + 
       (35*f[7, 115])/32 + (57*f[7, 116])/32 - 8*f[7, 117] - 
       (5*f[7, 118])/32 + (33*f[7, 120])/16 - (25*f[7, 121])/16 + 
       (77*f[7, 122])/16 + (25*f[7, 123])/16 - (25*f[7, 124])/8 - 
       (21*f[7, 125])/8 + (107*f[7, 126])/32 + f[7, 137]/2 + 
       (17*f[7, 138])/16 - f[7, 147]/4 - (23*f[7, 148])/16 - 
       (7*f[7, 149])/4 - (47*f[7, 150])/16)*HPL[{1}, 1 - v]*SPw5f6[u, v] + 
     (f[7, 62]/8 + f[7, 63]/8 - f[7, 64]/8 + f[7, 81]/2 - f[7, 89]/8 + 
       f[7, 91] + f[7, 96]/4 - f[7, 97]/4 - f[7, 98]/4 - f[7, 99]/8 - 
       f[7, 100] - f[7, 101]/8 - f[7, 102]/8 + f[7, 103]/4 - f[7, 104]/8 + 
       f[7, 105]/4 + f[7, 106]/2 - f[7, 107]/2 + (3*f[7, 108])/8 + 
       (3*f[7, 109])/8 + f[7, 110]/8 + f[7, 111]/8 - f[7, 112]/8 + 
       f[7, 113]/8 + f[7, 114]/4 + f[7, 115]/4 - f[7, 116]/4 - 
       (5*f[7, 117])/2 + (3*f[7, 118])/8 + f[7, 119]/2 + f[7, 120]/8 - 
       f[7, 121]/8 + f[7, 122]/8 + f[7, 123]/8 - f[7, 124]/4 - 
       (3*f[7, 125])/8 - f[7, 126]/8 + 2*f[7, 137] + (21*f[7, 138])/16 - 
       f[7, 147]/4 + (27*f[7, 148])/16 + (11*f[7, 149])/2 + 
       (23*f[7, 150])/16)*HPL[{1}, 1 - v]*SPw5f6[v, u] + 
     f[7, 44]*HPL[{1}, 1 - u]*SPw5f7[u, v] + 
     (2*f[7, 50] + 2*f[7, 52] + 2*f[7, 53] + 2*f[7, 55] + (3*f[7, 56])/4 - 
       (13*f[7, 57])/8 + 2*f[7, 58] - f[7, 59]/2 - (7*f[7, 60])/16 - 
       f[7, 61]/8 - (3*f[7, 62])/2 - (3*f[7, 63])/2 + (3*f[7, 64])/2 + 
       (87*f[7, 65])/8 - (55*f[7, 66])/4 - (71*f[7, 67])/8 - 
       (63*f[7, 68])/2 - (63*f[7, 69])/2 + (63*f[7, 70])/8 - 
       (63*f[7, 71])/8 + (65*f[7, 72])/2 - (65*f[7, 73])/2 - 
       (65*f[7, 74])/2 - (59*f[7, 75])/8 + (795*f[7, 76])/16 - 
       (471*f[7, 77])/16 + (63*f[7, 78])/4 - (117*f[7, 79])/8 - 
       (59*f[7, 80])/8 + (57*f[7, 81])/2 + (477*f[7, 82])/4 + 
       (161*f[7, 83])/2 + (107*f[7, 84])/8 - (741*f[7, 85])/16 - 
       (927*f[7, 86])/8 - (447*f[7, 87])/8 + (103*f[7, 88])/8 - 
       (23*f[7, 89])/4 - (83*f[7, 90])/16 - (41*f[7, 91])/4 - 
       (183*f[7, 92])/4 - (707*f[7, 93])/16 - (115*f[7, 94])/8 - 
       (559*f[7, 95])/8 + (37*f[7, 96])/8 + (263*f[7, 97])/8 + 
       (263*f[7, 98])/8 - (267*f[7, 99])/8 - (875*f[7, 100])/4 - 
       (179*f[7, 101])/8 - (129*f[7, 102])/8 - (25*f[7, 103])/4 - 
       (11*f[7, 104])/8 - (167*f[7, 105])/8 + (233*f[7, 106])/2 - 
       121*f[7, 107] + 28*f[7, 108] + (67*f[7, 109])/4 - (183*f[7, 110])/16 - 
       (167*f[7, 111])/4 + (215*f[7, 112])/4 - (17*f[7, 113])/8 + 
       (131*f[7, 114])/8 - (75*f[7, 115])/16 + (139*f[7, 116])/8 - 
       (2591*f[7, 117])/4 - (215*f[7, 118])/16 + (1319*f[7, 119])/16 + 
       48*f[7, 120] - (91*f[7, 121])/4 + (137*f[7, 122])/2 + 26*f[7, 123] - 
       (195*f[7, 124])/4 - 30*f[7, 125] + (331*f[7, 126])/8 - 11*f[7, 136] + 
       (101*f[7, 137])/2 + (377*f[7, 138])/8 + 26*f[7, 146] + 
       (33*f[7, 147])/2 - (15*f[7, 148])/4 - (293*f[7, 149])/8 + 
       (473*f[7, 150])/12)*HPL[{1}, 1 - v]*SPw5f9[u, v] + 
     (-f[7, 57]/2 - 2*f[7, 58] - f[7, 60]/4 + f[7, 61]/2 + (7*f[7, 62])/8 + 
       (7*f[7, 63])/8 - (7*f[7, 64])/8 + (9*f[7, 65])/2 - 5*f[7, 66] - 
       (3*f[7, 67])/2 - 10*f[7, 68] - 10*f[7, 69] + (5*f[7, 70])/2 - 
       (5*f[7, 71])/2 + 10*f[7, 72] - 10*f[7, 73] - 10*f[7, 74] + 
       (57*f[7, 76])/4 - (41*f[7, 77])/4 + 5*f[7, 78] - 5*f[7, 79] - 
       (3*f[7, 80])/4 - 2*f[7, 81] + 34*f[7, 82] + 21*f[7, 83] + 
       (9*f[7, 84])/2 - (51*f[7, 85])/4 - 33*f[7, 86] - 15*f[7, 87] + 
       (9*f[7, 88])/2 - (23*f[7, 89])/8 - (7*f[7, 90])/4 + (17*f[7, 91])/2 - 
       (59*f[7, 92])/4 - (45*f[7, 93])/4 - (45*f[7, 95])/2 + 
       (19*f[7, 96])/4 + (35*f[7, 97])/4 + (35*f[7, 98])/4 - 
       (75*f[7, 99])/8 - 76*f[7, 100] - (67*f[7, 101])/8 - (79*f[7, 102])/8 - 
       (5*f[7, 103])/4 - (39*f[7, 104])/8 - (11*f[7, 105])/4 + 
       (79*f[7, 106])/2 - (87*f[7, 107])/2 + (93*f[7, 108])/8 + 
       (61*f[7, 109])/8 - (23*f[7, 110])/8 - (81*f[7, 111])/8 + 
       (125*f[7, 112])/8 + (35*f[7, 113])/8 + (25*f[7, 114])/4 + 
       (7*f[7, 115])/2 + (15*f[7, 116])/4 - (461*f[7, 117])/2 - 
       (9*f[7, 118])/8 + (123*f[7, 119])/4 + (123*f[7, 120])/8 - 
       (83*f[7, 121])/8 + (215*f[7, 122])/8 + (75*f[7, 123])/8 - 
       (79*f[7, 124])/4 - (133*f[7, 125])/8 + (113*f[7, 126])/8 - 
       2*f[7, 136] + 12*f[7, 137] + (45*f[7, 138])/4 + f[7, 147] - 
       (33*f[7, 148])/4 - (43*f[7, 149])/2 - (43*f[7, 150])/4)*
      HPL[{1}, 1 - u]*SPw5f9[v, u] + f[7, 1]*SPw6f1[u, v] + 
     f[7, 123]*SPw6f1[v, u] + f[7, 43]*SPw6f10[u, v] + 
     f[7, 39]*SPw6f10[v, u] + (f[7, 58] - f[7, 146])*SPw6f11[u, v] + 
     f[7, 41]*SPw6f11[v, u] + (-f[7, 50] + f[7, 146])*SPw6f13[u, v] + 
     f[7, 42]*SPw6f13[v, u] + (f[7, 51] + f[7, 136])*SPw6f14[u, v] + 
     f[7, 47]*SPw6f14[v, u] + f[7, 74]*SPw6f15[u, v] + 
     (f[7, 49] + f[7, 72] - f[7, 74])*SPw6f16[u, v] + 
     f[7, 48]*SPw6f16[v, u] + f[7, 54]*SPw6f17[u, v] + 
     f[7, 121]*SPw6f18[u, v] + f[7, 117]*SPw6f19[v, u] + 
     f[7, 136]*SPw6f2[u, v] + f[7, 115]*SPw6f20[u, v] + 
     f[7, 96]*SPw6f20[v, u] + f[7, 88]*SPw6f22[u, v] + 
     f[7, 84]*SPw6f22[v, u] - f[7, 91]*SPw6f23[v, u] + 
     f[7, 120]*SPw6f26[u, v] + f[7, 109]*SPw6f27[u, v] + 
     f[7, 86]*SPw6f27[v, u] + f[7, 75]*SPw6f28[v, u] + 
     f[7, 62]*SPw6f30[u, v] + (f[7, 108] - f[7, 115])*SPw6f30[v, u] + 
     f[7, 63]*SPw6f31[u, v] + f[7, 64]*SPw6f32[u, v] + 
     (-f[7, 123] + f[7, 124] + f[7, 125])*SPw6f32[v, u] + 
     f[7, 113]*SPw6f33[v, u] + f[7, 116]*SPw6f34[u, v] + 
     f[7, 94]*SPw6f35[u, v] + (f[7, 118] - f[7, 120])*SPw6f35[v, u] + 
     (f[7, 75] - f[7, 95] + f[7, 99] + f[7, 112] - f[7, 121] + 2*f[7, 122] + 
       f[7, 123] - 2*f[7, 124] - 2*f[7, 125] + f[7, 126] - 2*f[7, 150])*
      SPw6f36[u, v] + (-f[7, 75] + f[7, 95] - f[7, 99])*SPw6f36[v, u] + 
     f[7, 114]*SPw6f37[u, v] + (-f[7, 86] + f[7, 105])*SPw6f37[v, u] + 
     (f[7, 76] + f[7, 138])*SPw6f38[u, v] + f[7, 90]*SPw6f38[v, u] + 
     f[7, 59]*SPw6f39[u, v] + (-f[7, 62]/4 - f[7, 63]/4 + f[7, 64]/4 - 
       f[7, 81] + f[7, 89]/4 - f[7, 91] - f[7, 96]/2 + f[7, 97]/2 + 
       f[7, 98]/2 + f[7, 99]/4 + 2*f[7, 100] + f[7, 101]/4 + f[7, 102]/4 - 
       f[7, 103]/2 + f[7, 104]/4 - f[7, 105]/2 + f[7, 107] - 
       (3*f[7, 108])/4 - (3*f[7, 109])/4 - f[7, 110]/4 - f[7, 111]/4 + 
       f[7, 112]/4 - f[7, 113]/4 - f[7, 114]/2 - f[7, 115]/2 + f[7, 116]/2 + 
       5*f[7, 117] - (3*f[7, 118])/4 - f[7, 119] - f[7, 120]/4 + 
       f[7, 121]/4 - f[7, 122]/4 - f[7, 123]/4 + f[7, 124]/2 + 
       (3*f[7, 125])/4 + f[7, 126]/4 + f[7, 150])*SPw6f40[u, v] + 
     (f[7, 59] - f[7, 62]/4 - f[7, 63]/4 + f[7, 64]/4 - f[7, 81] + 
       f[7, 89]/4 - 3*f[7, 91] - f[7, 94] - f[7, 96]/2 + f[7, 97]/2 + 
       f[7, 98]/2 + f[7, 99]/4 + 2*f[7, 100] + f[7, 101]/4 + 
       (3*f[7, 102])/4 - f[7, 103]/2 + (3*f[7, 104])/4 - f[7, 105]/2 + 
       f[7, 107] - (3*f[7, 108])/4 - (3*f[7, 109])/4 - f[7, 110]/4 - 
       f[7, 111]/4 + f[7, 112]/4 - f[7, 113]/4 - f[7, 114]/2 - f[7, 115]/2 + 
       f[7, 116]/2 + 5*f[7, 117] - (3*f[7, 118])/4 - f[7, 119] - 
       f[7, 120]/4 + f[7, 121]/4 - f[7, 122]/4 - f[7, 123]/4 + f[7, 124]/2 + 
       (3*f[7, 125])/4 + f[7, 126]/4 + f[7, 150])*SPw6f40[v, u] + 
     f[7, 61]*SPw6f41[u, v] + f[7, 57]*SPw6f41[v, u] + 
     ((3*f[7, 56])/2 - (5*f[7, 57])/4 - 8*f[7, 58] - f[7, 59] + 
       (9*f[7, 60])/8 + (7*f[7, 61])/4 + (9*f[7, 62])/2 + (9*f[7, 63])/2 - 
       (9*f[7, 64])/2 + (39*f[7, 65])/4 - (23*f[7, 66])/2 - (7*f[7, 67])/4 - 
       23*f[7, 68] - 23*f[7, 69] + (23*f[7, 70])/4 - (23*f[7, 71])/4 + 
       23*f[7, 72] - 23*f[7, 73] - 23*f[7, 74] + (3*f[7, 75])/4 + 
       (263*f[7, 76])/8 - (191*f[7, 77])/8 + (23*f[7, 78])/2 - 
       (47*f[7, 79])/4 + f[7, 80]/4 - 13*f[7, 81] + (149*f[7, 82])/2 + 
       45*f[7, 83] + (41*f[7, 84])/4 - (217*f[7, 85])/8 - (293*f[7, 86])/4 - 
       (133*f[7, 87])/4 + (37*f[7, 88])/4 - 8*f[7, 89] - (23*f[7, 90])/8 + 
       (99*f[7, 91])/2 - 34*f[7, 92] - (187*f[7, 93])/8 + (43*f[7, 94])/4 - 
       (201*f[7, 95])/4 + (53*f[7, 96])/4 + (63*f[7, 97])/4 + 
       (63*f[7, 98])/4 - (83*f[7, 99])/4 - (379*f[7, 100])/2 - 
       (85*f[7, 101])/4 - (131*f[7, 102])/4 + f[7, 103]/2 - 
       (83*f[7, 104])/4 - (13*f[7, 105])/4 + 95*f[7, 106] - 108*f[7, 107] + 
       (61*f[7, 108])/2 + 21*f[7, 109] - (43*f[7, 110])/8 - 19*f[7, 111] + 
       32*f[7, 112] + (67*f[7, 113])/4 + (73*f[7, 114])/4 + 
       (109*f[7, 115])/8 + (21*f[7, 116])/4 - (1123*f[7, 117])/2 + 
       (25*f[7, 118])/8 + (615*f[7, 119])/8 + (71*f[7, 120])/2 - 
       25*f[7, 121] + (125*f[7, 122])/2 + (39*f[7, 123])/2 - 
       (89*f[7, 124])/2 - (83*f[7, 125])/2 + (123*f[7, 126])/4 - 
       4*f[7, 136] + 23*f[7, 137] + (91*f[7, 138])/4 - 8*f[7, 146] - 
       2*f[7, 147] - (57*f[7, 148])/2 - (243*f[7, 149])/4 - 40*f[7, 150])*
      SPw6f42[u, v] + (4*f[7, 136] - 19*f[7, 137] - (71*f[7, 138])/4 - 
       8*f[7, 146] - 2*f[7, 147] - (45*f[7, 148])/2 - (195*f[7, 149])/4 - 
       34*f[7, 150])*SPw6f42[v, u] + (-f[7, 56]/4 - f[7, 57]/8 + 2*f[7, 58] + 
       f[7, 59]/6 - (3*f[7, 60])/16 - (5*f[7, 61])/8 - (29*f[7, 62])/24 - 
       (29*f[7, 63])/24 + (29*f[7, 64])/24 + (3*f[7, 65])/8 - 
       (3*f[7, 66])/4 - (11*f[7, 67])/8 - (3*f[7, 68])/2 - (3*f[7, 69])/2 + 
       (3*f[7, 70])/8 - (3*f[7, 71])/8 + (3*f[7, 72])/2 - (3*f[7, 73])/2 - 
       (3*f[7, 74])/2 - (47*f[7, 75])/24 + (51*f[7, 76])/16 - 
       (27*f[7, 77])/16 + (3*f[7, 78])/4 - (13*f[7, 79])/24 - 
       (31*f[7, 80])/24 + (19*f[7, 81])/2 + (95*f[7, 82])/12 + 
       (7*f[7, 83])/2 + (7*f[7, 84])/24 - (167*f[7, 85])/48 - 
       (199*f[7, 86])/24 - (103*f[7, 87])/24 + (11*f[7, 88])/24 + 
       (11*f[7, 89])/24 - (17*f[7, 90])/48 - (137*f[7, 91])/12 - 
       (11*f[7, 92])/4 - (149*f[7, 93])/48 - (45*f[7, 94])/8 - 
       (29*f[7, 95])/8 - (13*f[7, 96])/8 + (55*f[7, 97])/24 + 
       (55*f[7, 98])/24 - (25*f[7, 99])/12 - (73*f[7, 100])/12 - 
       (2*f[7, 101])/3 + (49*f[7, 102])/12 - (5*f[7, 103])/3 + 
       (53*f[7, 104])/12 - (73*f[7, 105])/24 + (7*f[7, 106])/3 - 
       (25*f[7, 107])/6 - (11*f[7, 108])/24 - (7*f[7, 109])/8 - 
       (17*f[7, 110])/16 - (103*f[7, 111])/24 + (29*f[7, 112])/8 - 
       (43*f[7, 113])/12 - (7*f[7, 114])/24 - (185*f[7, 115])/48 + 
       (49*f[7, 116])/24 - (223*f[7, 117])/12 - (163*f[7, 118])/48 + 
       (65*f[7, 119])/48 + (17*f[7, 120])/8 + (9*f[7, 121])/8 - 
       (13*f[7, 122])/24 + (9*f[7, 123])/8 + (79*f[7, 125])/24 + 
       (7*f[7, 126])/6 + (5*f[7, 137])/2 + (19*f[7, 138])/8 + 4*f[7, 146] + 
       2*f[7, 147] + f[7, 148] - (9*f[7, 149])/8 + (131*f[7, 150])/12)*
      SPw6f43[u, v] + (f[7, 56]/2 + f[7, 57]/4 + 2*f[7, 58] - f[7, 59]/3 + 
       (3*f[7, 60])/8 + (5*f[7, 61])/4 - (17*f[7, 62])/24 - 
       (17*f[7, 63])/24 + (17*f[7, 64])/24 - (3*f[7, 65])/4 + 
       (3*f[7, 66])/2 - f[7, 67]/4 + 3*f[7, 68] + 3*f[7, 69] - 
       (3*f[7, 70])/4 + (3*f[7, 71])/4 - 3*f[7, 72] + 3*f[7, 73] + 
       3*f[7, 74] - (19*f[7, 75])/12 - (27*f[7, 76])/8 + (27*f[7, 77])/8 - 
       (3*f[7, 78])/2 + (19*f[7, 79])/12 - (2*f[7, 80])/3 + 3*f[7, 81] - 
       (53*f[7, 82])/6 - 4*f[7, 83] - (19*f[7, 84])/12 + (71*f[7, 85])/24 + 
       (97*f[7, 86])/12 + (37*f[7, 87])/12 - (23*f[7, 88])/12 + 
       (29*f[7, 89])/24 + (29*f[7, 90])/24 - (41*f[7, 91])/3 + 
       (19*f[7, 92])/4 + (53*f[7, 93])/24 - (13*f[7, 94])/4 + 
       (29*f[7, 95])/4 - (7*f[7, 96])/2 - f[7, 97]/3 - f[7, 98]/3 + 
       (55*f[7, 99])/24 + (175*f[7, 100])/6 + (83*f[7, 101])/24 + 
       (155*f[7, 102])/24 - (11*f[7, 103])/12 + (115*f[7, 104])/24 - 
       (7*f[7, 105])/6 - (79*f[7, 106])/6 + (101*f[7, 107])/6 - 
       (107*f[7, 108])/24 - (21*f[7, 109])/8 + f[7, 110]/2 + 
       (35*f[7, 111])/24 - (37*f[7, 112])/8 - (95*f[7, 113])/24 - 
       (5*f[7, 114])/3 - (61*f[7, 115])/24 - (5*f[7, 116])/6 + 
       (239*f[7, 117])/3 - (25*f[7, 118])/12 - (269*f[7, 119])/24 - 
       (31*f[7, 120])/8 + (43*f[7, 121])/8 - (289*f[7, 122])/24 - 
       (31*f[7, 123])/8 + (37*f[7, 124])/4 + (235*f[7, 125])/24 - 
       (137*f[7, 126])/24 - f[7, 137]/2 + f[7, 138]/8 + 4*f[7, 146] + 
       2*f[7, 147] + (17*f[7, 148])/2 + (111*f[7, 149])/8 + 
       (209*f[7, 150])/12)*SPw6f43[v, u] + 
     (-f[7, 56]/2 + (5*f[7, 57])/4 + 8*f[7, 58] + f[7, 59] - f[7, 60]/8 - 
       (7*f[7, 61])/4 - (9*f[7, 62])/2 - (9*f[7, 63])/2 + (9*f[7, 64])/2 - 
       (39*f[7, 65])/4 + (23*f[7, 66])/2 + (7*f[7, 67])/4 + 23*f[7, 68] + 
       23*f[7, 69] - (23*f[7, 70])/4 + (23*f[7, 71])/4 - 23*f[7, 72] + 
       23*f[7, 73] + 23*f[7, 74] - (3*f[7, 75])/4 - (263*f[7, 76])/8 + 
       (191*f[7, 77])/8 - (23*f[7, 78])/2 + (47*f[7, 79])/4 - f[7, 80]/4 + 
       13*f[7, 81] - (149*f[7, 82])/2 - 45*f[7, 83] - (41*f[7, 84])/4 + 
       (217*f[7, 85])/8 + (293*f[7, 86])/4 + (133*f[7, 87])/4 - 
       (37*f[7, 88])/4 + 8*f[7, 89] + (23*f[7, 90])/8 - (99*f[7, 91])/2 + 
       34*f[7, 92] + (187*f[7, 93])/8 - (43*f[7, 94])/4 + (201*f[7, 95])/4 - 
       (53*f[7, 96])/4 - (63*f[7, 97])/4 - (63*f[7, 98])/4 + 
       (83*f[7, 99])/4 + (379*f[7, 100])/2 + (85*f[7, 101])/4 + 
       (131*f[7, 102])/4 - f[7, 103]/2 + (83*f[7, 104])/4 + 
       (13*f[7, 105])/4 - 95*f[7, 106] + 108*f[7, 107] - (61*f[7, 108])/2 - 
       21*f[7, 109] + (43*f[7, 110])/8 + 19*f[7, 111] - 32*f[7, 112] - 
       (67*f[7, 113])/4 - (73*f[7, 114])/4 - (109*f[7, 115])/8 - 
       (21*f[7, 116])/4 + (1123*f[7, 117])/2 - (25*f[7, 118])/8 - 
       (615*f[7, 119])/8 - (71*f[7, 120])/2 + 25*f[7, 121] - 
       (125*f[7, 122])/2 - (39*f[7, 123])/2 + (89*f[7, 124])/2 + 
       (83*f[7, 125])/2 - (123*f[7, 126])/4 + 4*f[7, 136] - 23*f[7, 137] - 
       (91*f[7, 138])/4 + 8*f[7, 146] + 2*f[7, 147] + (57*f[7, 148])/2 + 
       (243*f[7, 149])/4 + 40*f[7, 150])*SPw6f44[u, v] + 
     ((-3*f[7, 57])/2 - (2*f[7, 59])/3 - f[7, 60]/4 + f[7, 61]/2 + 
       f[7, 62]/3 + f[7, 63]/3 - f[7, 64]/3 + (9*f[7, 65])/2 - 5*f[7, 66] - 
       (5*f[7, 67])/2 - 10*f[7, 68] - 10*f[7, 69] + (5*f[7, 70])/2 - 
       (5*f[7, 71])/2 + 10*f[7, 72] - 10*f[7, 73] - 10*f[7, 74] - 
       (7*f[7, 75])/6 + (57*f[7, 76])/4 - (41*f[7, 77])/4 + 5*f[7, 78] - 
       (29*f[7, 79])/6 - (11*f[7, 80])/6 + 6*f[7, 81] + (109*f[7, 82])/3 + 
       22*f[7, 83] + (29*f[7, 84])/6 - (169*f[7, 85])/12 - (203*f[7, 86])/6 - 
       (95*f[7, 87])/6 + (25*f[7, 88])/6 - (7*f[7, 89])/3 - 
       (31*f[7, 90])/12 - f[7, 91]/3 - 15*f[7, 92] - (151*f[7, 93])/12 - 
       (7*f[7, 94])/2 - (45*f[7, 95])/2 + (7*f[7, 96])/2 + (59*f[7, 97])/6 + 
       (59*f[7, 98])/6 - (61*f[7, 99])/6 - (215*f[7, 100])/3 - 
       (47*f[7, 101])/6 - (35*f[7, 102])/6 - (7*f[7, 103])/3 - 
       (7*f[7, 104])/6 - (29*f[7, 105])/6 + (110*f[7, 106])/3 - 
       (124*f[7, 107])/3 + (28*f[7, 108])/3 + 6*f[7, 109] - 
       (13*f[7, 110])/4 - (37*f[7, 111])/3 + 17*f[7, 112] + (5*f[7, 113])/6 + 
       (31*f[7, 114])/6 + (17*f[7, 115])/12 + (29*f[7, 116])/6 - 
       (659*f[7, 117])/3 - (35*f[7, 118])/12 + (343*f[7, 119])/12 + 
       15*f[7, 120] - 9*f[7, 121] + (74*f[7, 122])/3 + 9*f[7, 123] - 
       18*f[7, 124] - (38*f[7, 125])/3 + (83*f[7, 126])/6 - 4*f[7, 136] + 
       23*f[7, 137] + (83*f[7, 138])/4 + 8*f[7, 146] + 4*f[7, 147] + 
       (13*f[7, 148])/2 + (27*f[7, 149])/4 + (46*f[7, 150])/3)*
      SPw6f44[v, u] + f[7, 33]*SPw6f45[u, v] - (f[7, 54]*SPw6f46[u, v])/2 + 
     f[7, 44]*SPw6f47[u, v] + f[7, 9]*SPw6f5[u, v] - f[7, 31]*SPw6f50[u, v] - 
     f[7, 37]*SPw6f51[u, v] + (f[7, 62]/4 + f[7, 63]/4 - f[7, 64]/4 + 
       f[7, 81] - f[7, 89]/4 + f[7, 91] + f[7, 96]/2 - f[7, 97]/2 - 
       f[7, 98]/2 - f[7, 99]/4 - 2*f[7, 100] - f[7, 101]/4 - f[7, 102]/4 + 
       f[7, 103]/2 - f[7, 104]/4 + f[7, 105]/2 + f[7, 106] - f[7, 107] + 
       (3*f[7, 108])/4 + (3*f[7, 109])/4 + f[7, 110]/4 + f[7, 111]/4 - 
       f[7, 112]/4 + f[7, 113]/4 + f[7, 114]/2 + f[7, 115]/2 - f[7, 116]/2 - 
       5*f[7, 117] + (3*f[7, 118])/4 + f[7, 119] + f[7, 120]/4 - 
       f[7, 121]/4 + f[7, 122]/4 + f[7, 123]/4 - f[7, 124]/2 - 
       (3*f[7, 125])/4 - f[7, 126]/4 - f[7, 150])*SPw6f52[u, v] + 
     (-f[7, 75] + f[7, 88] + f[7, 95] - 2*f[7, 99])*SPw6f53[u, v] + 
     (-f[7, 57]/2 - 2*f[7, 58] - f[7, 60]/4 + f[7, 61]/2 + (7*f[7, 62])/8 + 
       (7*f[7, 63])/8 - (7*f[7, 64])/8 + (9*f[7, 65])/2 - 5*f[7, 66] - 
       (3*f[7, 67])/2 - 10*f[7, 68] - 10*f[7, 69] + (5*f[7, 70])/2 - 
       (5*f[7, 71])/2 + 10*f[7, 72] - 10*f[7, 73] - 10*f[7, 74] + 
       (57*f[7, 76])/4 - (41*f[7, 77])/4 + 5*f[7, 78] - 5*f[7, 79] - 
       (3*f[7, 80])/4 - 2*f[7, 81] + 34*f[7, 82] + 21*f[7, 83] + 
       (9*f[7, 84])/2 - (51*f[7, 85])/4 - 33*f[7, 86] - 15*f[7, 87] + 
       (9*f[7, 88])/2 - (23*f[7, 89])/8 - (7*f[7, 90])/4 + (17*f[7, 91])/2 - 
       (59*f[7, 92])/4 - (45*f[7, 93])/4 - (45*f[7, 95])/2 + 
       (19*f[7, 96])/4 + (35*f[7, 97])/4 + (35*f[7, 98])/4 - 
       (75*f[7, 99])/8 - 76*f[7, 100] - (67*f[7, 101])/8 - (79*f[7, 102])/8 - 
       (5*f[7, 103])/4 - (39*f[7, 104])/8 - (11*f[7, 105])/4 + 
       (79*f[7, 106])/2 - (87*f[7, 107])/2 + (93*f[7, 108])/8 + 
       (61*f[7, 109])/8 - (23*f[7, 110])/8 - (81*f[7, 111])/8 + 
       (125*f[7, 112])/8 + (35*f[7, 113])/8 + (25*f[7, 114])/4 + 
       (7*f[7, 115])/2 + (15*f[7, 116])/4 - (461*f[7, 117])/2 - 
       (9*f[7, 118])/8 + (123*f[7, 119])/4 + (123*f[7, 120])/8 - 
       (83*f[7, 121])/8 + (215*f[7, 122])/8 + (75*f[7, 123])/8 - 
       (79*f[7, 124])/4 - (133*f[7, 125])/8 + (113*f[7, 126])/8 - 
       2*f[7, 136] + 12*f[7, 137] + (45*f[7, 138])/4 + f[7, 147] - 
       (33*f[7, 148])/4 - (43*f[7, 149])/2 - (43*f[7, 150])/4)*
      SPw6f54[u, v] + f[7, 14]*SPw6f6[u, v] + f[7, 32]*SPw6f6[v, u] + 
     f[7, 91]*SPw6f7[v, u] + f[7, 50]*SPw6f8[v, u] + f[7, 23]*SPw6f9[v, u]
 
SPuvCoproductEntriesWeight7[u - v] = 
    ((-109*f[7, 12])/4320 + f[7, 16]/54 - f[7, 17]/54 - (19*f[7, 19])/576 - 
       (13*f[7, 20])/270 - f[7, 128]/36 + (5*f[7, 130])/108 - 
       (4*f[7, 131])/27 + (17*f[7, 141])/120 - (7*f[7, 142])/72 - 
       (289*f[7, 143])/1440)*HPL[{1}, 1 - u]^6 + 
     (-f[7, 128]/12 + (5*f[7, 130])/36 + (25*f[7, 131])/72 - 
       (7*f[7, 141])/24 + f[7, 142]/18 + (3*f[7, 143])/32)*HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - v]^2 + ((25*f[7, 12])/216 - (5*f[7, 16])/54 + 
       (19*f[7, 17])/108 + (7*f[7, 19])/144 + (2*f[7, 20])/27 + 
       (2*f[7, 128])/9 - (10*f[7, 130])/27 + (14*f[7, 131])/27)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3 + 
     ((-25*f[7, 12])/288 + (5*f[7, 16])/72 - (5*f[7, 17])/18 - 
       (7*f[7, 19])/96 - (37*f[7, 20])/288 - f[7, 128]/12 + 
       (5*f[7, 130])/36 + (25*f[7, 131])/72 + (7*f[7, 141])/24 - 
       f[7, 142]/18 - (3*f[7, 143])/32)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4 + 
     ((25*f[7, 12])/864 - (5*f[7, 16])/216 + (13*f[7, 17])/108 + 
       (13*f[7, 19])/576 + (17*f[7, 20])/432 - f[7, 128]/36 + 
       (5*f[7, 130])/108 - (4*f[7, 131])/27 - (17*f[7, 141])/120 + 
       (7*f[7, 142])/72 + (289*f[7, 143])/1440)*HPL[{1}, 1 - v]^6 + 
     (f[7, 13]/12 - f[7, 21]/4 - (3*f[7, 26])/40 - (7*f[7, 27])/40 - 
       f[7, 28]/40 + (25*f[7, 30])/96 - (3*f[7, 31])/40 - f[7, 32]/20 - 
       (11*f[7, 33])/40 - (3*f[7, 35])/40 + f[7, 36]/40 + f[7, 37]/80 + 
       f[7, 38]/5 + f[7, 39]/40 - f[7, 40]/20 - f[7, 41]/80 - f[7, 42]/80 - 
       (3*f[7, 43])/40 - (3*f[7, 44])/20 - (2*f[7, 45])/5 - (2*f[7, 46])/5 - 
       (9*f[7, 47])/80 - (9*f[7, 48])/80 - f[7, 49]/80 + (109*f[7, 50])/192 - 
       (29*f[7, 51])/160 - f[7, 52]/16 + (293*f[7, 53])/960 - 
       (9*f[7, 54])/32 + (317*f[7, 55])/192 - (13*f[7, 56])/80 + 
       (141*f[7, 57])/128 + (167*f[7, 58])/40 - (67*f[7, 59])/120 + 
       (619*f[7, 60])/1280 + (93*f[7, 61])/128 - (2357*f[7, 62])/960 - 
       (2357*f[7, 63])/960 + (2357*f[7, 64])/960 + (307*f[7, 65])/240 - 
       (2909*f[7, 66])/1920 - (13589*f[7, 67])/3840 - (529*f[7, 68])/120 - 
       (4009*f[7, 69])/960 + (4273*f[7, 70])/3840 - (845*f[7, 71])/768 + 
       (10487*f[7, 72])/1920 - (8183*f[7, 73])/1920 - (8963*f[7, 74])/1920 - 
       (53849*f[7, 75])/15360 + (3665*f[7, 76])/512 + (67*f[7, 77])/240 + 
       (239*f[7, 78])/128 - (19751*f[7, 79])/15360 - (21331*f[7, 80])/15360 + 
       (12749*f[7, 81])/768 + (91487*f[7, 82])/3840 + (2591*f[7, 83])/192 + 
       (17879*f[7, 84])/15360 - (49769*f[7, 85])/5120 - 
       (105017*f[7, 86])/5120 - (173191*f[7, 87])/15360 + 
       (1625*f[7, 88])/1024 + (2489*f[7, 89])/3840 + (25457*f[7, 90])/15360 - 
       (2759*f[7, 91])/192 - (112361*f[7, 92])/15360 - 
       (54161*f[7, 93])/5120 - (48269*f[7, 94])/5120 - 
       (50209*f[7, 95])/5120 - (7501*f[7, 96])/1280 + (6287*f[7, 97])/768 + 
       (32011*f[7, 98])/3840 - (14939*f[7, 99])/3072 + (43*f[7, 100])/384 + 
       (20861*f[7, 101])/7680 + (89299*f[7, 102])/15360 - 
       (33259*f[7, 103])/7680 + (471*f[7, 104])/64 - (104231*f[7, 105])/
        15360 + (11687*f[7, 106])/1920 + (4787*f[7, 107])/480 - 
       (839*f[7, 108])/512 - (10673*f[7, 109])/2560 - 
       (63587*f[7, 110])/15360 - (38653*f[7, 111])/3840 + 
       (25419*f[7, 112])/2560 - (64111*f[7, 113])/15360 - 
       (6643*f[7, 114])/5120 - (123539*f[7, 115])/15360 + 
       (17651*f[7, 116])/3072 - (6007*f[7, 117])/320 - 
       (95387*f[7, 118])/15360 - (709*f[7, 119])/960 + 
       (5111*f[7, 120])/1536 + (9401*f[7, 121])/7680 + 
       (7841*f[7, 122])/2560 + (18487*f[7, 123])/7680 - 
       (3943*f[7, 124])/3840 + (20351*f[7, 125])/3840 + 
       (27471*f[7, 126])/5120 - f[7, 132]/20 + f[7, 134]/20 - 
       (13*f[7, 135])/80 + (31*f[7, 136])/10 + (1291*f[7, 137])/480 + 
       (301*f[7, 138])/320 + f[7, 145]/2 + 2*f[7, 146] + (91*f[7, 147])/48 - 
       (387*f[7, 148])/64 - (3139*f[7, 149])/192 - (41*f[7, 150])/192)*
      HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - u] + 
     (f[7, 132]/20 - f[7, 134]/20 + (9*f[7, 135])/40 - (233*f[7, 136])/80 + 
       (689*f[7, 137])/80 + (5953*f[7, 138])/640 - f[7, 144]/10 + 
       f[7, 145]/4 + (109*f[7, 146])/20 + (473*f[7, 147])/320 + 
       (453*f[7, 148])/40 + (13629*f[7, 149])/640 + (48493*f[7, 150])/1920)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u] + 
     (-f[7, 22]/8 + f[7, 24] - f[7, 36]/2 - f[7, 43] - f[7, 44] - 
       f[7, 47]/4 - f[7, 48]/4 - (3*f[7, 49])/4 + f[7, 50] - (3*f[7, 51])/8 - 
       f[7, 52] + f[7, 53] - (5*f[7, 54])/8 + 3*f[7, 55] - (7*f[7, 56])/2 + 
       (115*f[7, 57])/32 + (179*f[7, 58])/4 + (17*f[7, 59])/8 - 
       (15*f[7, 60])/64 - (93*f[7, 61])/32 - (741*f[7, 62])/32 - 
       (741*f[7, 63])/32 + (741*f[7, 64])/32 - (1501*f[7, 65])/32 + 
       (771*f[7, 66])/16 + (35*f[7, 67])/32 + (369*f[7, 68])/4 + 
       (747*f[7, 69])/8 - (707*f[7, 70])/32 + (699*f[7, 71])/32 - 
       92*f[7, 72] + (187*f[7, 73])/2 + (369*f[7, 74])/4 - 
       (889*f[7, 75])/64 - (7975*f[7, 76])/64 + (6609*f[7, 77])/64 - 
       (745*f[7, 78])/16 + (3297*f[7, 79])/64 - (77*f[7, 80])/64 + 
       (1825*f[7, 81])/16 - (2165*f[7, 82])/8 - (1409*f[7, 83])/8 - 
       (2677*f[7, 84])/64 + (3081*f[7, 85])/32 + (17249*f[7, 86])/64 + 
       (7473*f[7, 87])/64 - (2525*f[7, 88])/64 + (1283*f[7, 89])/32 + 
       (123*f[7, 90])/8 - (3887*f[7, 91])/16 + (8555*f[7, 92])/64 + 
       (2491*f[7, 93])/32 - (4301*f[7, 94])/64 + (12613*f[7, 95])/64 - 
       (2287*f[7, 96])/32 - (1681*f[7, 97])/32 - (1681*f[7, 98])/32 + 
       (4855*f[7, 99])/64 + (13085*f[7, 100])/16 + (1519*f[7, 101])/16 + 
       (10023*f[7, 102])/64 - (147*f[7, 103])/16 + (869*f[7, 104])/8 - 
       (35*f[7, 105])/64 - (3247*f[7, 106])/8 + (3811*f[7, 107])/8 - 
       (559*f[7, 108])/4 - (873*f[7, 109])/8 + (243*f[7, 110])/16 + 
       (1977*f[7, 111])/32 - (1883*f[7, 112])/16 - (4953*f[7, 113])/64 - 
       (5181*f[7, 114])/64 - (2583*f[7, 115])/32 - (449*f[7, 116])/64 + 
       (38487*f[7, 117])/16 - (49*f[7, 118])/2 - (21487*f[7, 119])/64 - 
       (1187*f[7, 120])/8 + (1829*f[7, 121])/16 - (1075*f[7, 122])/4 - 
       (683*f[7, 123])/8 + (3181*f[7, 124])/16 + (6347*f[7, 125])/32 - 
       (7705*f[7, 126])/64 + 9*f[7, 136] - (139*f[7, 137])/8 - 
       (461*f[7, 138])/32 - f[7, 140] + f[7, 145] + (141*f[7, 146])/2 + 
       (197*f[7, 147])/8 + (1547*f[7, 148])/8 + (13735*f[7, 149])/32 + 
       (5081*f[7, 150])/16)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]^2 + 
     (f[7, 22]/4 + f[7, 47]/4 - f[7, 50] + f[7, 52]/2 - f[7, 53] - 
       2*f[7, 55] + (13*f[7, 56])/16 - (59*f[7, 57])/32 - 17*f[7, 58] - 
       (9*f[7, 59])/8 - (33*f[7, 60])/64 + (25*f[7, 61])/32 + 
       (17*f[7, 62])/2 + (17*f[7, 63])/2 - (17*f[7, 64])/2 + 
       (297*f[7, 65])/32 - (117*f[7, 66])/16 + (171*f[7, 67])/32 - 
       (87*f[7, 68])/8 - (93*f[7, 69])/8 + (69*f[7, 70])/32 - 
       (53*f[7, 71])/32 + (79*f[7, 72])/8 - (91*f[7, 73])/8 - 
       (87*f[7, 74])/8 + (247*f[7, 75])/32 + (725*f[7, 76])/64 - 
       (1209*f[7, 77])/64 + (105*f[7, 78])/16 - (309*f[7, 79])/32 + 
       (59*f[7, 80])/32 - (507*f[7, 81])/8 + (179*f[7, 82])/16 + 
       (161*f[7, 83])/8 + (175*f[7, 84])/32 - (115*f[7, 85])/64 - 
       (453*f[7, 86])/32 - (81*f[7, 87])/32 + (139*f[7, 88])/32 - 
       (189*f[7, 89])/16 - (337*f[7, 90])/64 + (1209*f[7, 91])/16 - 
       (107*f[7, 92])/8 + (223*f[7, 93])/64 + (1007*f[7, 94])/32 - 
       (559*f[7, 95])/32 + (759*f[7, 96])/32 - (71*f[7, 97])/32 - 
       (71*f[7, 98])/32 - (145*f[7, 99])/32 - (2513*f[7, 100])/16 - 
       (679*f[7, 101])/32 - (1413*f[7, 102])/32 + (37*f[7, 103])/4 - 
       (1221*f[7, 104])/32 + (337*f[7, 105])/32 + (545*f[7, 106])/8 - 
       (401*f[7, 107])/4 + 32*f[7, 108] + (565*f[7, 109])/16 + 
       (283*f[7, 110])/64 + (97*f[7, 111])/16 + (13*f[7, 112])/8 + 
       (667*f[7, 113])/32 + (651*f[7, 114])/32 + (2195*f[7, 115])/64 - 
       (437*f[7, 116])/32 - (6985*f[7, 117])/16 + (1015*f[7, 118])/64 + 
       (4293*f[7, 119])/64 + (193*f[7, 120])/8 - (351*f[7, 121])/16 + 
       (327*f[7, 122])/8 + (47*f[7, 123])/4 - (539*f[7, 124])/16 - 
       (353*f[7, 125])/8 + (251*f[7, 126])/32 - f[7, 134]/2 - 8*f[7, 136] + 
       (77*f[7, 137])/8 + (197*f[7, 138])/32 - f[7, 145] - 17*f[7, 146] - 
       (67*f[7, 147])/8 - (47*f[7, 148])/4 - (885*f[7, 149])/32 - 
       (649*f[7, 150])/16)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]^2 + (-f[7, 5]/3 - (2*f[7, 18])/3 - (4*f[7, 24])/3 - 
       (2*f[7, 25])/3 + (4*f[7, 27])/3 - f[7, 29]/3 - f[7, 30]/3 + 
       (4*f[7, 32])/3 - f[7, 34]/2 - f[7, 36] + (8*f[7, 39])/3 + 
       (2*f[7, 43])/3 + (7*f[7, 44])/3 - f[7, 46] + (17*f[7, 47])/12 + 
       (7*f[7, 48])/4 - f[7, 49]/4 - (10*f[7, 50])/3 - f[7, 51]/4 - 
       (20*f[7, 52])/3 - (13*f[7, 53])/6 - (17*f[7, 54])/12 - 
       (11*f[7, 55])/2 + (3*f[7, 56])/8 - (53*f[7, 57])/4 - (29*f[7, 58])/3 + 
       (110*f[7, 59])/9 - f[7, 60]/24 - (16*f[7, 61])/3 + 
       (1873*f[7, 62])/288 + (1873*f[7, 63])/288 - (1873*f[7, 64])/288 - 
       (71*f[7, 65])/2 + (149*f[7, 66])/4 + (605*f[7, 67])/24 + 
       (971*f[7, 68])/12 + (487*f[7, 69])/6 - (137*f[7, 70])/8 + 
       (427*f[7, 71])/24 - (335*f[7, 72])/4 + (493*f[7, 73])/6 + 
       (327*f[7, 74])/4 + (5077*f[7, 75])/288 - (499*f[7, 76])/4 + 
       (273*f[7, 77])/4 - (469*f[7, 78])/12 + (12047*f[7, 79])/288 + 
       (6833*f[7, 80])/288 - (553*f[7, 81])/8 - (22403*f[7, 82])/72 - 
       (2179*f[7, 83])/12 - (9311*f[7, 84])/288 + (34643*f[7, 85])/288 + 
       (87515*f[7, 86])/288 + (42563*f[7, 87])/288 - (10567*f[7, 88])/288 + 
       (4283*f[7, 89])/288 + (1691*f[7, 90])/288 + (869*f[7, 91])/72 + 
       (12815*f[7, 92])/96 + (31907*f[7, 93])/288 + (4369*f[7, 94])/96 + 
       (5843*f[7, 95])/32 - (257*f[7, 96])/48 - (12709*f[7, 97])/144 - 
       (12565*f[7, 98])/144 + (11675*f[7, 99])/144 + (17699*f[7, 100])/36 + 
       (12875*f[7, 101])/288 + (3961*f[7, 102])/144 + (3961*f[7, 103])/144 - 
       (1721*f[7, 104])/288 + (15725*f[7, 105])/288 - (21325*f[7, 106])/72 + 
       (18155*f[7, 107])/72 - (22607*f[7, 108])/288 - (4661*f[7, 109])/96 + 
       (953*f[7, 110])/24 + (31697*f[7, 111])/288 - (13481*f[7, 112])/96 + 
       (1925*f[7, 113])/144 - (12733*f[7, 114])/288 + (2369*f[7, 115])/288 - 
       (13721*f[7, 116])/288 + (114139*f[7, 117])/72 + (5615*f[7, 118])/144 - 
       (28345*f[7, 119])/144 - (11963*f[7, 120])/96 + (5155*f[7, 121])/96 - 
       (50737*f[7, 122])/288 - (6931*f[7, 123])/96 + (2009*f[7, 124])/16 + 
       (21397*f[7, 125])/288 - (15745*f[7, 126])/144 + f[7, 137] + 
       (3*f[7, 138])/4 - (8*f[7, 140])/3 - 4*f[7, 144] - 2*f[7, 145] - 
       (58*f[7, 146])/3 - (215*f[7, 147])/12 + (1813*f[7, 148])/12 + 
       (1304*f[7, 149])/3 + (9403*f[7, 150])/72)*HPL[{0, 1}, 1 - u]^3 + 
     ((3*f[7, 26])/20 + (7*f[7, 27])/20 + f[7, 28]/20 - f[7, 30]/8 + 
       (3*f[7, 31])/20 + f[7, 32]/10 + (11*f[7, 33])/20 + (3*f[7, 35])/20 - 
       f[7, 36]/20 - f[7, 37]/40 - (2*f[7, 38])/5 - f[7, 39]/20 + 
       f[7, 40]/10 + f[7, 41]/40 + f[7, 42]/40 + (3*f[7, 43])/20 + 
       (3*f[7, 44])/10 + (11*f[7, 45])/20 + (11*f[7, 46])/20 + f[7, 47]/10 + 
       (7*f[7, 48])/20 + (7*f[7, 49])/80 - (27*f[7, 50])/32 + 
       (29*f[7, 51])/80 - f[7, 52]/8 - (71*f[7, 53])/160 + f[7, 54]/2 - 
       (71*f[7, 55])/32 + (59*f[7, 56])/320 - (217*f[7, 57])/128 - 
       (61*f[7, 58])/10 + (353*f[7, 59])/240 - (1063*f[7, 60])/1280 - 
       (189*f[7, 61])/128 + (1927*f[7, 62])/480 + (1927*f[7, 63])/480 - 
       (1927*f[7, 64])/480 + (2361*f[7, 65])/640 - (751*f[7, 66])/160 + 
       (549*f[7, 67])/320 - (1311*f[7, 68])/160 - (661*f[7, 69])/80 + 
       (757*f[7, 70])/320 - (153*f[7, 71])/64 + (2261*f[7, 72])/320 - 
       (2689*f[7, 73])/320 - (2529*f[7, 74])/320 + (27589*f[7, 75])/7680 + 
       (295*f[7, 76])/32 - (14113*f[7, 77])/1280 + (121*f[7, 78])/32 - 
       (28309*f[7, 79])/7680 + (12911*f[7, 80])/7680 - (1423*f[7, 81])/128 + 
       (38323*f[7, 82])/1920 + (111*f[7, 83])/8 + (31741*f[7, 84])/7680 - 
       (52783*f[7, 85])/7680 - (148729*f[7, 86])/7680 - 
       (51229*f[7, 87])/7680 + (5737*f[7, 88])/1536 - (8779*f[7, 89])/1920 - 
       (22567*f[7, 90])/7680 + (5597*f[7, 91])/192 - (23693*f[7, 92])/2560 - 
       (41467*f[7, 93])/7680 + (26769*f[7, 94])/2560 - 
       (47771*f[7, 95])/2560 + (243*f[7, 96])/20 + (11*f[7, 97])/6 + 
       (107*f[7, 98])/60 - (10633*f[7, 99])/1536 - (8953*f[7, 100])/96 - 
       (45311*f[7, 101])/3840 - (142279*f[7, 102])/7680 + 
       (14299*f[7, 103])/3840 - (4975*f[7, 104])/384 + 
       (41411*f[7, 105])/7680 + (37393*f[7, 106])/960 - (872*f[7, 107])/15 + 
       (11221*f[7, 108])/768 + (14493*f[7, 109])/1280 - 
       (401*f[7, 110])/2560 - (6457*f[7, 111])/1920 + 
       (12201*f[7, 112])/1280 + (89491*f[7, 113])/7680 + 
       (58589*f[7, 114])/7680 + (76949*f[7, 115])/7680 - 
       (2719*f[7, 116])/1536 - (242353*f[7, 117])/960 + 
       (49477*f[7, 118])/7680 + (141647*f[7, 119])/3840 + 
       (3303*f[7, 120])/256 - (18287*f[7, 121])/1280 + 
       (111757*f[7, 122])/3840 + (11411*f[7, 123])/1280 - 
       (14969*f[7, 124])/640 - (49571*f[7, 125])/1920 + 
       (84727*f[7, 126])/7680 + f[7, 132]/20 - f[7, 134]/20 + 
       (9*f[7, 135])/40 - (233*f[7, 136])/80 + (689*f[7, 137])/80 + 
       (5953*f[7, 138])/640 + f[7, 144]/10 - f[7, 145]/4 - 
       (109*f[7, 146])/20 - (473*f[7, 147])/320 - (453*f[7, 148])/40 - 
       (13629*f[7, 149])/640 - (48493*f[7, 150])/1920)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v] + 
     (-f[7, 13]/12 - f[7, 21]/12 - (3*f[7, 26])/40 - (7*f[7, 27])/40 - 
       f[7, 28]/40 + (23*f[7, 30])/96 - (3*f[7, 31])/40 - f[7, 32]/20 - 
       (11*f[7, 33])/40 - (3*f[7, 35])/40 + f[7, 36]/40 + f[7, 37]/80 + 
       f[7, 38]/5 + f[7, 39]/40 - f[7, 40]/20 - f[7, 41]/80 - f[7, 42]/80 - 
       (3*f[7, 43])/40 - (3*f[7, 44])/20 - (2*f[7, 45])/5 - (2*f[7, 46])/5 + 
       f[7, 47]/80 - (9*f[7, 48])/80 - f[7, 49]/80 + (101*f[7, 50])/192 - 
       (29*f[7, 51])/160 + (3*f[7, 52])/16 + (253*f[7, 53])/960 - 
       (9*f[7, 54])/32 + (229*f[7, 55])/192 - (31*f[7, 56])/160 + 
       (75*f[7, 57])/128 + (87*f[7, 58])/40 - (79*f[7, 59])/240 + 
       (429*f[7, 60])/1280 + (83*f[7, 61])/128 - (297*f[7, 62])/160 - 
       (297*f[7, 63])/160 + (297*f[7, 64])/160 - (289*f[7, 65])/320 + 
       (557*f[7, 66])/640 - (1403*f[7, 67])/1280 + (49*f[7, 68])/30 + 
       (1571*f[7, 69])/960 - (609*f[7, 70])/1280 + (125*f[7, 71])/256 - 
       (2153*f[7, 72])/1920 + (3017*f[7, 73])/1920 + (2717*f[7, 74])/1920 - 
       (11009*f[7, 75])/15360 - (1993*f[7, 76])/1536 + (7411*f[7, 77])/1920 - 
       (239*f[7, 78])/384 - (517*f[7, 79])/5120 - (23531*f[7, 80])/15360 - 
       (523*f[7, 81])/768 + (2527*f[7, 82])/3840 + (619*f[7, 83])/192 - 
       (1547*f[7, 84])/5120 - (2507*f[7, 85])/15360 + 
       (34429*f[7, 86])/15360 - (3631*f[7, 87])/15360 - (461*f[7, 88])/3072 + 
       (1843*f[7, 89])/1280 + (1537*f[7, 90])/15360 - (799*f[7, 91])/64 + 
       (4559*f[7, 92])/15360 - (5601*f[7, 93])/5120 - (22709*f[7, 94])/5120 + 
       (57173*f[7, 95])/15360 - (6341*f[7, 96])/1280 + (561*f[7, 97])/256 + 
       (2997*f[7, 98])/1280 + (3581*f[7, 99])/3072 + (3877*f[7, 100])/128 + 
       (36301*f[7, 101])/7680 + (89099*f[7, 102])/15360 - 
       (5673*f[7, 103])/2560 + (117*f[7, 104])/32 - (64591*f[7, 105])/15360 - 
       (8833*f[7, 106])/1920 + (10927*f[7, 107])/480 - 
       (5525*f[7, 108])/1536 - (18899*f[7, 109])/7680 - 
       (27667*f[7, 110])/15360 - (1753*f[7, 111])/3840 - 
       (141*f[7, 112])/2560 - (80711*f[7, 113])/15360 - 
       (29489*f[7, 114])/15360 - (24899*f[7, 115])/15360 + 
       (2201*f[7, 116])/1024 + (63749*f[7, 117])/960 - 
       (48667*f[7, 118])/15360 - (21013*f[7, 119])/1920 - 
       (2201*f[7, 120])/1536 + (8467*f[7, 121])/2560 - 
       (33517*f[7, 122])/7680 - (2771*f[7, 123])/2560 + 
       (5819*f[7, 124])/1280 + (25531*f[7, 125])/3840 - 
       (1769*f[7, 126])/5120 - f[7, 132]/20 + f[7, 134]/20 - 
       (13*f[7, 135])/80 + (31*f[7, 136])/10 + (1291*f[7, 137])/480 + 
       (301*f[7, 138])/320 - f[7, 145]/2 - 2*f[7, 146] - (91*f[7, 147])/48 + 
       (387*f[7, 148])/64 + (3139*f[7, 149])/192 + (41*f[7, 150])/192)*
      HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v] + 
     (-f[7, 134]/2 - 8*f[7, 136] + (77*f[7, 137])/8 + (197*f[7, 138])/32 + 
       f[7, 145] + 17*f[7, 146] + (67*f[7, 147])/8 + (47*f[7, 148])/4 + 
       (885*f[7, 149])/32 + (649*f[7, 150])/16)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2 + 
     (-f[7, 24] + f[7, 36]/2 + f[7, 43] + f[7, 44] + f[7, 48]/4 + 
       (3*f[7, 49])/4 + (3*f[7, 51])/8 + f[7, 52]/2 + (5*f[7, 54])/8 - 
       f[7, 55] + (37*f[7, 56])/16 - (29*f[7, 57])/16 - (103*f[7, 58])/4 - 
       f[7, 59]/4 + (21*f[7, 60])/32 + (21*f[7, 61])/16 + (417*f[7, 62])/32 + 
       (417*f[7, 63])/32 - (417*f[7, 64])/32 + (537*f[7, 65])/16 - 
       (145*f[7, 66])/4 - (21*f[7, 67])/4 - (585*f[7, 68])/8 - 73*f[7, 69] + 
       18*f[7, 70] - 18*f[7, 71] + (587*f[7, 72])/8 - (587*f[7, 73])/8 - 
       (581*f[7, 74])/8 + (375*f[7, 75])/64 + (805*f[7, 76])/8 - 
       (2361*f[7, 77])/32 + (293*f[7, 78])/8 - (2419*f[7, 79])/64 + 
       (11*f[7, 80])/64 - (799*f[7, 81])/16 + (3729*f[7, 82])/16 + 
       (577*f[7, 83])/4 + (2091*f[7, 84])/64 - (5429*f[7, 85])/64 - 
       (14595*f[7, 86])/64 - (6539*f[7, 87])/64 + (2027*f[7, 88])/64 - 
       (839*f[7, 89])/32 - (589*f[7, 90])/64 + (307*f[7, 91])/2 - 
       (6859*f[7, 92])/64 - (4671*f[7, 93])/64 + (2183*f[7, 94])/64 - 
       (10311*f[7, 95])/64 + (699*f[7, 96])/16 + (821*f[7, 97])/16 + 
       (821*f[7, 98])/16 - (4081*f[7, 99])/64 - (4727*f[7, 100])/8 - 
       (2093*f[7, 101])/32 - (6677*f[7, 102])/64 + (19*f[7, 103])/16 - 
       (2107*f[7, 104])/32 - (579*f[7, 105])/64 + (609*f[7, 106])/2 - 
       (2657*f[7, 107])/8 + (773*f[7, 108])/8 + (1075*f[7, 109])/16 - 
       (1189*f[7, 110])/64 - (1945*f[7, 111])/32 + (415*f[7, 112])/4 + 
       (3343*f[7, 113])/64 + (3467*f[7, 114])/64 + (2745*f[7, 115])/64 + 
       (1119*f[7, 116])/64 - (7041*f[7, 117])/4 + (591*f[7, 118])/64 + 
       (1931*f[7, 119])/8 + (1781*f[7, 120])/16 - (667*f[7, 121])/8 + 
       (411*f[7, 122])/2 + (265*f[7, 123])/4 - (595*f[7, 124])/4 - 
       (4467*f[7, 125])/32 + (6431*f[7, 126])/64 + 9*f[7, 136] - 
       (139*f[7, 137])/8 - (461*f[7, 138])/32 + f[7, 140] - f[7, 145] - 
       (141*f[7, 146])/2 - (197*f[7, 147])/8 - (1547*f[7, 148])/8 - 
       (13735*f[7, 149])/32 - (5081*f[7, 150])/16)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]^2 + (f[7, 5]/3 + (2*f[7, 18])/3 + (4*f[7, 24])/3 + 
       (2*f[7, 25])/3 - (4*f[7, 27])/3 + f[7, 29]/3 + f[7, 30]/3 - 
       (4*f[7, 32])/3 + f[7, 34]/2 + f[7, 36] - (8*f[7, 39])/3 - 
       (2*f[7, 43])/3 - (7*f[7, 44])/3 + f[7, 46] - (17*f[7, 47])/12 - 
       (7*f[7, 48])/4 + f[7, 49]/4 + (10*f[7, 50])/3 + f[7, 51]/4 + 
       (20*f[7, 52])/3 + (13*f[7, 53])/6 + (17*f[7, 54])/12 + 
       (11*f[7, 55])/2 - (3*f[7, 56])/8 + (53*f[7, 57])/4 + (29*f[7, 58])/3 - 
       (110*f[7, 59])/9 + f[7, 60]/24 + (16*f[7, 61])/3 - 
       (1873*f[7, 62])/288 - (1873*f[7, 63])/288 + (1873*f[7, 64])/288 + 
       (106*f[7, 65])/3 - (449*f[7, 66])/12 - (607*f[7, 67])/24 - 
       (979*f[7, 68])/12 - (163*f[7, 69])/2 + (139*f[7, 70])/8 - 
       (433*f[7, 71])/24 + (1013*f[7, 72])/12 - (497*f[7, 73])/6 - 
       (989*f[7, 74])/12 - (5077*f[7, 75])/288 + (757*f[7, 76])/6 - 
       (209*f[7, 77])/3 + (157*f[7, 78])/4 - (12143*f[7, 79])/288 - 
       (6881*f[7, 80])/288 + (1691*f[7, 81])/24 + (22595*f[7, 82])/72 + 
       (2179*f[7, 83])/12 + (9407*f[7, 84])/288 - (34955*f[7, 85])/288 - 
       (88163*f[7, 86])/288 - (42875*f[7, 87])/288 + (10663*f[7, 88])/288 - 
       (4235*f[7, 89])/288 - (1739*f[7, 90])/288 - (845*f[7, 91])/72 - 
       (12911*f[7, 92])/96 - (32051*f[7, 93])/288 - (1475*f[7, 94])/32 - 
       (17665*f[7, 95])/96 + (91*f[7, 96])/16 + (12781*f[7, 97])/144 + 
       (12637*f[7, 98])/144 - (11771*f[7, 99])/144 - (17951*f[7, 100])/36 - 
       (13211*f[7, 101])/288 - (3937*f[7, 102])/144 - (3997*f[7, 103])/144 + 
       (1793*f[7, 104])/288 - (15821*f[7, 105])/288 + (21517*f[7, 106])/72 - 
       (18563*f[7, 107])/72 + (22799*f[7, 108])/288 + (1567*f[7, 109])/32 - 
       (943*f[7, 110])/24 - (31961*f[7, 111])/288 + (13601*f[7, 112])/96 - 
       (1925*f[7, 113])/144 + (12829*f[7, 114])/288 - (2369*f[7, 115])/288 + 
       (13841*f[7, 116])/288 - (115531*f[7, 117])/72 - (5699*f[7, 118])/144 + 
       (28693*f[7, 119])/144 + (12091*f[7, 120])/96 - (5219*f[7, 121])/96 + 
       (51241*f[7, 122])/288 + (6995*f[7, 123])/96 - (6091*f[7, 124])/48 - 
       (21637*f[7, 125])/288 + (15901*f[7, 126])/144 + f[7, 137] + 
       (3*f[7, 138])/4 + (8*f[7, 140])/3 + 4*f[7, 144] + 2*f[7, 145] + 
       (58*f[7, 146])/3 + (215*f[7, 147])/12 - (1813*f[7, 148])/12 - 
       (1304*f[7, 149])/3 - (9403*f[7, 150])/72)*HPL[{0, 1}, 1 - v]^3 + 
     (f[7, 11]/3 - (4*f[7, 31])/3 + 4*f[7, 33] - f[7, 35]/3 - 
       (4*f[7, 38])/3 - f[7, 40] - f[7, 45]/3 + f[7, 46]/3 + f[7, 47]/12 - 
       (5*f[7, 48])/12 + f[7, 49]/4 - (2*f[7, 50])/3 - (11*f[7, 51])/24 + 
       f[7, 52] - f[7, 53]/2 - (17*f[7, 54])/24 + (5*f[7, 55])/3 + 
       (85*f[7, 56])/96 + (89*f[7, 57])/64 - f[7, 58]/12 - 
       (275*f[7, 59])/144 + (219*f[7, 60])/128 + (799*f[7, 61])/192 - 
       (1223*f[7, 62])/576 - (1223*f[7, 63])/576 + (1223*f[7, 64])/576 - 
       (17*f[7, 65])/192 + (241*f[7, 66])/96 + (97*f[7, 67])/192 + 
       (293*f[7, 68])/48 + (305*f[7, 69])/48 - (529*f[7, 70])/192 + 
       (529*f[7, 71])/192 - (103*f[7, 72])/16 + (111*f[7, 73])/16 + 
       (103*f[7, 74])/16 - (743*f[7, 75])/576 - (3641*f[7, 76])/384 + 
       (1795*f[7, 77])/128 - (139*f[7, 78])/32 - (685*f[7, 79])/576 - 
       (2047*f[7, 80])/576 - (1253*f[7, 81])/48 - (1861*f[7, 82])/288 + 
       (237*f[7, 83])/16 - (1025*f[7, 84])/576 + (6301*f[7, 85])/1152 + 
       (11033*f[7, 86])/576 + (4241*f[7, 87])/576 - (1549*f[7, 88])/576 + 
       (1001*f[7, 89])/576 - (1229*f[7, 90])/1152 - (1793*f[7, 91])/288 + 
       (293*f[7, 92])/96 - (1865*f[7, 93])/1152 + (607*f[7, 94])/192 + 
       (3167*f[7, 95])/192 - (1769*f[7, 96])/192 + (175*f[7, 97])/576 - 
       (401*f[7, 98])/576 + (61*f[7, 99])/9 + (26915*f[7, 100])/288 + 
       (4135*f[7, 101])/288 + (179*f[7, 102])/144 - (197*f[7, 103])/72 - 
       (155*f[7, 104])/36 - (4345*f[7, 105])/576 - (391*f[7, 106])/36 + 
       (9317*f[7, 107])/144 - (3437*f[7, 108])/576 + (221*f[7, 109])/64 - 
       (2281*f[7, 110])/384 + (1859*f[7, 111])/576 - (1825*f[7, 112])/192 - 
       (1469*f[7, 113])/144 - (235*f[7, 114])/576 + (4483*f[7, 115])/1152 - 
       (1619*f[7, 116])/576 + (57257*f[7, 117])/288 - (1651*f[7, 118])/1152 - 
       (36283*f[7, 119])/1152 - (1085*f[7, 120])/192 + (617*f[7, 121])/64 - 
       (10531*f[7, 122])/576 - (463*f[7, 123])/64 + (137*f[7, 124])/8 + 
       (10153*f[7, 125])/576 - (2689*f[7, 126])/288 - f[7, 133]/6 + 
       f[7, 134]/6 - (35*f[7, 136])/12 - (557*f[7, 137])/24 - 
       (299*f[7, 138])/12 + (2*f[7, 145])/3 + 5*f[7, 146] + 
       (49*f[7, 147])/24 - (721*f[7, 148])/96 - (1087*f[7, 149])/48 + 
       (3235*f[7, 150])/288)*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - u] + 
     ((-3*f[7, 34])/2 + f[7, 36] + f[7, 41] + f[7, 42] + f[7, 45] + 
       f[7, 46] + (3*f[7, 47])/4 - (5*f[7, 48])/4 - (5*f[7, 49])/4 - 
       f[7, 51]/4 - 5*f[7, 52] + f[7, 53]/2 - f[7, 54]/4 + f[7, 55]/2 - 
       (9*f[7, 56])/8 - (19*f[7, 57])/8 - 13*f[7, 58] + (13*f[7, 59])/3 - 
       (9*f[7, 60])/16 - (9*f[7, 61])/8 + (857*f[7, 62])/96 + 
       (857*f[7, 63])/96 - (857*f[7, 64])/96 + (79*f[7, 65])/8 - 
       10*f[7, 66] + (7*f[7, 67])/4 - 23*f[7, 68] - 22*f[7, 69] + 
       (19*f[7, 70])/4 - (19*f[7, 71])/4 + (43*f[7, 72])/2 - 
       (77*f[7, 73])/4 - (43*f[7, 74])/2 + (935*f[7, 75])/96 + 
       (101*f[7, 76])/4 - (447*f[7, 77])/16 + 11*f[7, 78] - 
       (863*f[7, 79])/96 + (835*f[7, 80])/96 - (209*f[7, 81])/8 + 
       (1235*f[7, 82])/24 + (65*f[7, 83])/4 + (1079*f[7, 84])/96 - 
       (1793*f[7, 85])/96 - (5399*f[7, 86])/96 - (2135*f[7, 87])/96 + 
       (1039*f[7, 88])/96 - (1037*f[7, 89])/96 - (161*f[7, 90])/96 + 
       (2227*f[7, 91])/24 - (901*f[7, 92])/32 - (1301*f[7, 93])/96 + 
       (729*f[7, 94])/32 - (1609*f[7, 95])/32 + (401*f[7, 96])/16 + 
       (391*f[7, 97])/48 + (343*f[7, 98])/48 - (409*f[7, 99])/24 - 
       (2597*f[7, 100])/12 - (2567*f[7, 101])/96 - (263*f[7, 102])/6 + 
       (53*f[7, 103])/12 - (2971*f[7, 104])/96 + (1495*f[7, 105])/96 + 
       (2047*f[7, 106])/24 - (3293*f[7, 107])/24 + (3293*f[7, 108])/96 + 
       (623*f[7, 109])/32 + (87*f[7, 110])/8 - (623*f[7, 111])/96 + 
       (919*f[7, 112])/32 + (112*f[7, 113])/3 + (1561*f[7, 114])/96 + 
       (2485*f[7, 115])/96 + (125*f[7, 116])/96 - (14875*f[7, 117])/24 + 
       (121*f[7, 118])/12 + (4381*f[7, 119])/48 + (1073*f[7, 120])/32 - 
       (1225*f[7, 121])/32 + (7867*f[7, 122])/96 + (705*f[7, 123])/32 - 
       (997*f[7, 124])/16 - (6739*f[7, 125])/96 + (209*f[7, 126])/6 - 
       f[7, 135] + 4*f[7, 136] - (17*f[7, 137])/2 - 6*f[7, 138] - 
       36*f[7, 146] - (53*f[7, 147])/4 - (585*f[7, 148])/8 - 
       (1129*f[7, 149])/8 - (3893*f[7, 150])/24)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + 
     (2*f[7, 8] - f[7, 15] - 3*f[7, 23] - 6*f[7, 24] + 3*f[7, 25] + 
       (7*f[7, 29])/2 + 3*f[7, 41] + 3*f[7, 42] - 6*f[7, 43] - 6*f[7, 44] + 
       6*f[7, 45] + 6*f[7, 46] - (9*f[7, 47])/4 - (9*f[7, 48])/2 - 
       (13*f[7, 49])/2 + 2*f[7, 51] + (17*f[7, 52])/2 + 3*f[7, 53] + 
       2*f[7, 54] + 7*f[7, 55] - (41*f[7, 56])/16 + (131*f[7, 57])/32 + 
       (45*f[7, 58])/2 - (389*f[7, 59])/24 - (231*f[7, 60])/64 - 
       (177*f[7, 61])/32 - (887*f[7, 62])/96 - (887*f[7, 63])/96 + 
       (887*f[7, 64])/96 - (1465*f[7, 65])/32 + (889*f[7, 66])/16 + 
       (521*f[7, 67])/32 + (689*f[7, 68])/8 + (745*f[7, 69])/8 - 
       (729*f[7, 70])/32 + (729*f[7, 71])/32 - (749*f[7, 72])/8 + 
       (725*f[7, 73])/8 + (741*f[7, 74])/8 - (785*f[7, 75])/96 - 
       (9113*f[7, 76])/64 + (7145*f[7, 77])/64 - (805*f[7, 78])/16 + 
       (4601*f[7, 79])/96 - (577*f[7, 80])/96 + (555*f[7, 81])/8 - 
       (13825*f[7, 82])/48 - (1465*f[7, 83])/8 - (3923*f[7, 84])/96 + 
       (21241*f[7, 85])/192 + (29291*f[7, 86])/96 + (13463*f[7, 87])/96 - 
       (3895*f[7, 88])/96 + (2093*f[7, 89])/96 + (2431*f[7, 90])/192 - 
       (593*f[7, 91])/48 + (1029*f[7, 92])/8 + (18091*f[7, 93])/192 + 
       (493*f[7, 94])/32 + (6797*f[7, 95])/32 - (1449*f[7, 96])/32 - 
       (7937*f[7, 97])/96 - (8513*f[7, 98])/96 + (3335*f[7, 99])/48 + 
       (34691*f[7, 100])/48 + (4375*f[7, 101])/48 + (3547*f[7, 102])/48 + 
       (67*f[7, 103])/3 + (835*f[7, 104])/24 + (1781*f[7, 105])/96 - 
       (4523*f[7, 106])/12 + (10253*f[7, 107])/24 - (9569*f[7, 108])/96 - 
       (1369*f[7, 109])/32 + (1251*f[7, 110])/64 + (8135*f[7, 111])/96 - 
       (4645*f[7, 112])/32 - (2923*f[7, 113])/48 - (4621*f[7, 114])/96 - 
       (6401*f[7, 115])/192 - (4265*f[7, 116])/96 + (105089*f[7, 117])/48 + 
       (4457*f[7, 118])/192 - (57115*f[7, 119])/192 - (4561*f[7, 120])/32 + 
       (3179*f[7, 121])/32 - (24307*f[7, 122])/96 - (2853*f[7, 123])/32 + 
       (361*f[7, 124])/2 + (14593*f[7, 125])/96 - (1729*f[7, 126])/12 + 
       f[7, 127] - (3*f[7, 133])/2 - 8*f[7, 134] - (11*f[7, 135])/4 + 
       (29*f[7, 136])/4 - (993*f[7, 137])/4 - (1951*f[7, 138])/8 + 
       f[7, 139] + 17*f[7, 145] + 22*f[7, 146] + (173*f[7, 147])/8 - 
       (577*f[7, 148])/8 - (331*f[7, 149])/2 - (2101*f[7, 150])/48)*
      HPL[{0, 0, 1}, 1 - u]^2 + (-f[7, 11]/3 + (4*f[7, 31])/3 - 4*f[7, 33] - 
       f[7, 34]/6 + (2*f[7, 40])/3 + f[7, 45]/3 + f[7, 46]/3 + f[7, 47]/4 + 
       (5*f[7, 48])/12 - f[7, 49]/12 - f[7, 50]/3 + (7*f[7, 51])/24 - 
       (7*f[7, 53])/6 + (3*f[7, 54])/8 - (5*f[7, 55])/2 - (19*f[7, 56])/96 - 
       (137*f[7, 57])/192 - (73*f[7, 58])/12 + (71*f[7, 59])/48 - 
       (203*f[7, 60])/384 - (85*f[7, 61])/192 + (533*f[7, 62])/192 + 
       (533*f[7, 63])/192 - (533*f[7, 64])/192 - (319*f[7, 65])/64 + 
       (195*f[7, 66])/32 + (451*f[7, 67])/64 + (259*f[7, 68])/16 + 
       (745*f[7, 69])/48 - (259*f[7, 70])/64 + (259*f[7, 71])/64 - 
       (841*f[7, 72])/48 + (251*f[7, 73])/16 + (259*f[7, 74])/16 + 
       (447*f[7, 75])/64 - (9853*f[7, 76])/384 + (4933*f[7, 77])/384 - 
       (701*f[7, 78])/96 + (821*f[7, 79])/192 + (173*f[7, 80])/64 - 
       (681*f[7, 81])/16 - (1965*f[7, 82])/32 - (1207*f[7, 83])/48 - 
       (1031*f[7, 84])/192 + (9751*f[7, 85])/384 + (4071*f[7, 86])/64 + 
       (6013*f[7, 87])/192 - (1115*f[7, 88])/192 + (101*f[7, 89])/192 - 
       (563*f[7, 90])/384 + (663*f[7, 91])/32 + (177*f[7, 92])/8 + 
       (8909*f[7, 93])/384 + (1097*f[7, 94])/64 + (7043*f[7, 95])/192 + 
       (619*f[7, 96])/192 - (3755*f[7, 97])/192 - (1209*f[7, 98])/64 + 
       (71*f[7, 99])/4 + (8197*f[7, 100])/96 + (89*f[7, 101])/12 - 
       (75*f[7, 102])/16 + (347*f[7, 103])/48 - (417*f[7, 104])/32 + 
       (2197*f[7, 105])/192 - (303*f[7, 106])/8 + (675*f[7, 107])/16 - 
       (1177*f[7, 108])/192 + (203*f[7, 109])/64 + (1835*f[7, 110])/384 + 
       (5051*f[7, 111])/192 - (1927*f[7, 112])/64 + (325*f[7, 113])/96 - 
       (481*f[7, 114])/192 + (5933*f[7, 115])/384 - (859*f[7, 116])/64 + 
       (8081*f[7, 117])/32 + (4799*f[7, 118])/384 - (11381*f[7, 119])/384 - 
       (1193*f[7, 120])/64 + (1265*f[7, 121])/192 - (4955*f[7, 122])/192 - 
       (2147*f[7, 123])/192 + (283*f[7, 124])/16 + (917*f[7, 125])/192 - 
       (329*f[7, 126])/16 - f[7, 133]/6 + f[7, 134]/6 - (35*f[7, 136])/12 - 
       (557*f[7, 137])/24 - (299*f[7, 138])/12 - (2*f[7, 145])/3 - 
       5*f[7, 146] - (49*f[7, 147])/24 + (721*f[7, 148])/96 + 
       (1087*f[7, 149])/48 - (3235*f[7, 150])/288)*HPL[{1}, 1 - v]^3*
      HPL[{0, 0, 1}, 1 - v] + ((3*f[7, 34])/2 - f[7, 45] - f[7, 46] - 
       f[7, 47]/4 - (5*f[7, 48])/4 + f[7, 49]/4 + 2*f[7, 50] - f[7, 51]/4 + 
       4*f[7, 52] + (3*f[7, 53])/2 + f[7, 54]/4 + (7*f[7, 55])/2 + 
       (19*f[7, 56])/8 + (9*f[7, 57])/2 + 23*f[7, 58] - (17*f[7, 59])/4 + 
       (3*f[7, 60])/4 + (15*f[7, 61])/4 - (405*f[7, 62])/32 - 
       (405*f[7, 63])/32 + (405*f[7, 64])/32 - (63*f[7, 65])/4 + 
       (73*f[7, 66])/4 - (29*f[7, 67])/8 + 32*f[7, 68] + (65*f[7, 69])/2 - 
       (59*f[7, 70])/8 + (59*f[7, 71])/8 - (61*f[7, 72])/2 + 
       (117*f[7, 73])/4 + (63*f[7, 74])/2 - (501*f[7, 75])/32 - 
       (635*f[7, 76])/16 + (187*f[7, 77])/4 - (65*f[7, 78])/4 + 
       (577*f[7, 79])/32 - (213*f[7, 80])/32 + (495*f[7, 81])/8 - 
       (623*f[7, 82])/8 - (147*f[7, 83])/4 - (545*f[7, 84])/32 + 
       (865*f[7, 85])/32 + (2541*f[7, 86])/32 + (965*f[7, 87])/32 - 
       (521*f[7, 88])/32 + (505*f[7, 89])/32 + (321*f[7, 90])/32 - 
       (981*f[7, 91])/8 + (1461*f[7, 92])/32 + (525*f[7, 93])/32 - 
       (1053*f[7, 94])/32 + (2293*f[7, 95])/32 - (633*f[7, 96])/16 - 
       (133*f[7, 97])/16 - (117*f[7, 98])/16 + (367*f[7, 99])/16 + 
       (687*f[7, 100])/2 + (1439*f[7, 101])/32 + (1063*f[7, 102])/16 - 
       (51*f[7, 103])/8 + (1627*f[7, 104])/32 - (509*f[7, 105])/32 - 
       (1185*f[7, 106])/8 + (1789*f[7, 107])/8 - (1765*f[7, 108])/32 - 
       (1301*f[7, 109])/32 - (65*f[7, 110])/8 + (307*f[7, 111])/32 - 
       (1289*f[7, 112])/32 - (713*f[7, 113])/16 - (891*f[7, 114])/32 - 
       (1429*f[7, 115])/32 + f[7, 116]/32 + (7873*f[7, 117])/8 - 
       (123*f[7, 118])/8 - (561*f[7, 119])/4 - (1711*f[7, 120])/32 + 
       (1779*f[7, 121])/32 - (3835*f[7, 122])/32 - (1131*f[7, 123])/32 + 
       (1479*f[7, 124])/16 + (3207*f[7, 125])/32 - (805*f[7, 126])/16 - 
       f[7, 135] + 4*f[7, 136] - (17*f[7, 137])/2 - 6*f[7, 138] + 
       36*f[7, 146] + (53*f[7, 147])/4 + (585*f[7, 148])/8 + 
       (1129*f[7, 149])/8 + (3893*f[7, 150])/24)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (-2*f[7, 8] + f[7, 15] + 2*f[7, 23] + 4*f[7, 24] - 2*f[7, 25] - 
       3*f[7, 29] + f[7, 34] - 2*f[7, 41] - 2*f[7, 42] + 4*f[7, 43] + 
       4*f[7, 44] - 2*f[7, 45] - 2*f[7, 46] + (7*f[7, 48])/2 + 
       (7*f[7, 49])/2 + 2*f[7, 50] - (3*f[7, 51])/2 - 9*f[7, 52] + f[7, 53] + 
       f[7, 54]/2 + 3*f[7, 55] - (7*f[7, 56])/8 + (55*f[7, 57])/16 + 
       13*f[7, 58] + (71*f[7, 59])/12 + (21*f[7, 60])/32 + (11*f[7, 61])/16 + 
       f[7, 62]/6 + f[7, 63]/6 - f[7, 64]/6 + (571*f[7, 65])/16 - 
       (331*f[7, 66])/8 - (451*f[7, 67])/16 - (323*f[7, 68])/4 - 
       (331*f[7, 69])/4 + (323*f[7, 70])/16 - (323*f[7, 71])/16 + 
       (355*f[7, 72])/4 - (309*f[7, 73])/4 - (335*f[7, 74])/4 - 
       (215*f[7, 75])/24 + (4159*f[7, 76])/32 - (3243*f[7, 77])/32 + 
       (331*f[7, 78])/8 - (619*f[7, 79])/24 - (43*f[7, 80])/24 + 
       (231*f[7, 81])/2 + (6685*f[7, 82])/24 + (473*f[7, 83])/4 + 
       (389*f[7, 84])/12 - (11137*f[7, 85])/96 - (1819*f[7, 86])/6 - 
       (425*f[7, 87])/3 + (209*f[7, 88])/6 - (193*f[7, 89])/24 + 
       (293*f[7, 90])/96 - (1471*f[7, 91])/24 - (1757*f[7, 92])/16 - 
       (9151*f[7, 93])/96 - (497*f[7, 94])/8 - (813*f[7, 95])/4 + 
       (293*f[7, 96])/16 + (4001*f[7, 97])/48 + (4097*f[7, 98])/48 - 
       (473*f[7, 99])/6 - (14081*f[7, 100])/24 - (3467*f[7, 101])/48 - 
       (65*f[7, 102])/12 - (449*f[7, 103])/12 + (1811*f[7, 104])/48 - 
       (133*f[7, 105])/6 + (2995*f[7, 106])/12 - (2197*f[7, 107])/6 + 
       (1351*f[7, 108])/24 - (27*f[7, 109])/4 - (257*f[7, 110])/32 - 
       (2569*f[7, 111])/24 + (605*f[7, 112])/4 + (281*f[7, 113])/12 + 
       (113*f[7, 114])/6 - (3319*f[7, 115])/96 + (749*f[7, 116])/12 - 
       (41633*f[7, 117])/24 - (4595*f[7, 118])/96 + (21217*f[7, 119])/96 + 
       (823*f[7, 120])/8 - 70*f[7, 121] + (4607*f[7, 122])/24 + 
       (595*f[7, 123])/8 - (1131*f[7, 124])/8 - (1123*f[7, 125])/12 + 
       (3043*f[7, 126])/24 - 2*f[7, 127] + 2*f[7, 133] + 8*f[7, 134] + 
       3*f[7, 135] + 18*f[7, 136] + (331*f[7, 137])/2 + (1363*f[7, 138])/8)*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     (f[7, 23] - f[7, 25] - f[7, 29]/2 - (3*f[7, 34])/2 - f[7, 41] - 
       f[7, 42] - f[7, 45] - f[7, 46] + 2*f[7, 47] - (5*f[7, 48])/4 + 
       (3*f[7, 49])/4 - 6*f[7, 50] - (3*f[7, 51])/4 - (3*f[7, 52])/2 - 
       (13*f[7, 53])/2 - (7*f[7, 54])/4 - (25*f[7, 55])/2 + 
       (45*f[7, 56])/16 + (3*f[7, 57])/32 + f[7, 58]/2 + (95*f[7, 59])/24 + 
       (169*f[7, 60])/64 + (151*f[7, 61])/32 - (127*f[7, 62])/24 - 
       (127*f[7, 63])/24 + (127*f[7, 64])/24 - (1849*f[7, 65])/32 + 
       (1057*f[7, 66])/16 + (1177*f[7, 67])/32 + (1281*f[7, 68])/8 + 
       (1249*f[7, 69])/8 - (1257*f[7, 70])/32 + (1257*f[7, 71])/32 - 
       (1325*f[7, 72])/8 + (1243*f[7, 73])/8 + (1273*f[7, 74])/8 + 
       (193*f[7, 75])/12 - (14861*f[7, 76])/64 + (10009*f[7, 77])/64 - 
       (1209*f[7, 78])/16 + (1465*f[7, 79])/24 + (185*f[7, 80])/12 - 
       146*f[7, 81] - (26291*f[7, 82])/48 - (2195*f[7, 83])/8 - 
       (3119*f[7, 84])/48 + (41231*f[7, 85])/192 + (26381*f[7, 86])/48 + 
       (12269*f[7, 87])/48 - (3205*f[7, 88])/48 + (1361*f[7, 89])/48 + 
       (1709*f[7, 90])/192 - (4435*f[7, 91])/48 + (7213*f[7, 92])/32 + 
       (35249*f[7, 93])/192 + (165*f[7, 94])/4 + (5777*f[7, 95])/16 - 
       (1327*f[7, 96])/32 - (13339*f[7, 97])/96 - (13243*f[7, 98])/96 + 
       (7579*f[7, 99])/48 + (53323*f[7, 100])/48 + (11317*f[7, 101])/96 + 
       (4685*f[7, 102])/48 + (823*f[7, 103])/24 + (1307*f[7, 104])/96 + 
       (2621*f[7, 105])/48 - (12701*f[7, 106])/24 + (7637*f[7, 107])/12 - 
       (6725*f[7, 108])/48 - (451*f[7, 109])/8 + (2359*f[7, 110])/64 + 
       (8897*f[7, 111])/48 - (2123*f[7, 112])/8 - (2039*f[7, 113])/48 - 
       (3337*f[7, 114])/48 + (3737*f[7, 115])/192 - (4367*f[7, 116])/48 + 
       (157219*f[7, 117])/48 + (9445*f[7, 118])/192 - (80627*f[7, 119])/192 - 
       (3393*f[7, 120])/16 + (551*f[7, 121])/4 - (18193*f[7, 122])/48 - 
       (2145*f[7, 123])/16 + (4389*f[7, 124])/16 + (2449*f[7, 125])/12 - 
       (5389*f[7, 126])/24 + f[7, 127] - (3*f[7, 133])/2 - 8*f[7, 134] - 
       (11*f[7, 135])/4 + (29*f[7, 136])/4 - (993*f[7, 137])/4 - 
       (1951*f[7, 138])/8 - f[7, 139] - 17*f[7, 145] - 22*f[7, 146] - 
       (173*f[7, 147])/8 + (577*f[7, 148])/8 + (331*f[7, 149])/2 + 
       (2101*f[7, 150])/48)*HPL[{0, 0, 1}, 1 - v]^2 + 
     (f[7, 10]/3 + f[7, 21]/3 - f[7, 30]/12 + f[7, 50]/2 + f[7, 53]/2 + 
       f[7, 55]/3 - (79*f[7, 65])/24 + (79*f[7, 66])/24 + (79*f[7, 67])/48 + 
       (161*f[7, 68])/24 + (77*f[7, 69])/12 - (77*f[7, 70])/48 + 
       (77*f[7, 71])/48 - (157*f[7, 72])/24 + (157*f[7, 73])/24 + 
       (157*f[7, 74])/24 + (13*f[7, 75])/24 - (235*f[7, 76])/32 + 
       (67*f[7, 77])/48 - (73*f[7, 78])/24 + (257*f[7, 79])/96 + 
       (7*f[7, 80])/96 - (29*f[7, 81])/12 - (223*f[7, 82])/8 - 
       (163*f[7, 83])/8 - (257*f[7, 84])/96 + (61*f[7, 85])/6 + 
       (985*f[7, 86])/48 + (487*f[7, 87])/48 - (257*f[7, 88])/96 + 
       (115*f[7, 89])/48 + (7*f[7, 90])/96 - (119*f[7, 91])/12 + 
       (301*f[7, 92])/32 + (43*f[7, 93])/4 - (29*f[7, 94])/48 + 
       (443*f[7, 95])/32 - (7*f[7, 96])/12 - (275*f[7, 97])/48 - 
       (283*f[7, 98])/48 + (283*f[7, 99])/48 + (773*f[7, 100])/24 + 
       (65*f[7, 101])/96 + (331*f[7, 102])/48 + (23*f[7, 103])/32 + 
       (105*f[7, 104])/32 + (257*f[7, 105])/96 - (257*f[7, 106])/12 + 
       (133*f[7, 107])/12 - (257*f[7, 108])/48 - (89*f[7, 109])/24 + 
       (259*f[7, 110])/48 + (49*f[7, 111])/6 - (327*f[7, 112])/32 - 
       (81*f[7, 113])/32 - (257*f[7, 114])/96 - (79*f[7, 115])/96 - 
       (55*f[7, 116])/32 + (429*f[7, 117])/4 - (29*f[7, 118])/48 - 
       (1273*f[7, 119])/96 - (161*f[7, 120])/24 + (257*f[7, 121])/48 - 
       (173*f[7, 122])/12 - (257*f[7, 123])/48 + (257*f[7, 124])/24 + 
       (89*f[7, 125])/12 - (679*f[7, 126])/96 + f[7, 135]/8 - 
       (47*f[7, 136])/24 - (141*f[7, 137])/16 - (333*f[7, 138])/64 + 
       (2*f[7, 145])/3 + 3*f[7, 146] + (21*f[7, 147])/16 + 
       (129*f[7, 148])/16 + (2821*f[7, 149])/192 + (2567*f[7, 150])/96)*
      HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - u] + 
     (4*f[7, 136] + (101*f[7, 137])/4 + (191*f[7, 138])/8 - 2*f[7, 145] - 
       8*f[7, 146] - (31*f[7, 147])/4 + (761*f[7, 148])/32 + 
       (1027*f[7, 149])/16 + (377*f[7, 150])/96)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u] + 
     (f[7, 22]/2 - 8*f[7, 24] - f[7, 41] - f[7, 42] - f[7, 47] + 
       (3*f[7, 48])/2 + f[7, 49] + f[7, 51]/2 + f[7, 54]/2 - (5*f[7, 56])/4 + 
       2*f[7, 57] - 16*f[7, 58] - (31*f[7, 59])/12 - f[7, 60] - 
       (7*f[7, 61])/2 + (95*f[7, 62])/12 + (95*f[7, 63])/12 - 
       (95*f[7, 64])/12 + (15*f[7, 65])/2 - 8*f[7, 66] + 4*f[7, 67] - 
       16*f[7, 68] - 16*f[7, 69] + (7*f[7, 70])/2 - 3*f[7, 71] + 
       17*f[7, 72] - 16*f[7, 73] - 17*f[7, 74] + (413*f[7, 75])/48 + 
       (81*f[7, 76])/4 - 17*f[7, 77] + (11*f[7, 78])/2 - (431*f[7, 79])/48 + 
       (307*f[7, 80])/48 - (83*f[7, 81])/2 + (413*f[7, 82])/12 + 
       14*f[7, 83] + (299*f[7, 84])/48 - (509*f[7, 85])/48 - 
       (1805*f[7, 86])/48 - (653*f[7, 87])/48 + (379*f[7, 88])/48 - 
       (61*f[7, 89])/6 - (11*f[7, 90])/48 + (307*f[7, 91])/3 - 
       (373*f[7, 92])/16 - (281*f[7, 93])/48 + (437*f[7, 94])/16 - 
       (533*f[7, 95])/16 + (85*f[7, 96])/4 - (17*f[7, 97])/6 - 
       (17*f[7, 98])/6 - (493*f[7, 99])/48 - (496*f[7, 100])/3 - 
       (59*f[7, 101])/3 - (2165*f[7, 102])/48 + (115*f[7, 103])/12 - 
       (439*f[7, 104])/12 + (601*f[7, 105])/48 + (907*f[7, 106])/12 - 
       (290*f[7, 107])/3 + (793*f[7, 108])/24 + (199*f[7, 109])/8 + 
       (21*f[7, 110])/16 + f[7, 111]/12 + (55*f[7, 112])/4 + 
       (1523*f[7, 113])/48 + (811*f[7, 114])/48 + (1069*f[7, 115])/48 - 
       (241*f[7, 116])/48 - (1408*f[7, 117])/3 + (881*f[7, 118])/48 + 
       (1651*f[7, 119])/24 + 22*f[7, 120] - (229*f[7, 121])/8 + 
       (1397*f[7, 122])/24 + (143*f[7, 123])/8 - 46*f[7, 124] - 
       (335*f[7, 125])/6 + (1049*f[7, 126])/48 + 4*f[7, 129] + 2*f[7, 134] + 
       f[7, 135]/2 + 2*f[7, 136] + (61*f[7, 137])/4 + (193*f[7, 138])/16 - 
       34*f[7, 146] - (75*f[7, 147])/4 - (283*f[7, 148])/8 - 
       (595*f[7, 149])/16 - (733*f[7, 150])/8)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (f[7, 48] - f[7, 50]/6 - f[7, 53]/6 - f[7, 54]/2 + (7*f[7, 55])/3 - 
       (5*f[7, 56])/8 - (71*f[7, 57])/16 - 34*f[7, 58] + (73*f[7, 59])/12 - 
       (37*f[7, 60])/32 - (43*f[7, 61])/16 + (763*f[7, 62])/48 + 
       (763*f[7, 63])/48 - (763*f[7, 64])/48 + (731*f[7, 65])/48 - 
       (175*f[7, 66])/8 + (105*f[7, 67])/16 - (509*f[7, 68])/12 - 
       (517*f[7, 69])/12 + (581*f[7, 70])/48 - (581*f[7, 71])/48 + 
       (87*f[7, 72])/2 - (85*f[7, 73])/2 - (85*f[7, 74])/2 + 
       (391*f[7, 75])/24 + (5305*f[7, 76])/96 - (5395*f[7, 77])/96 + 
       (541*f[7, 78])/24 - (263*f[7, 79])/12 + (37*f[7, 80])/4 - 
       (529*f[7, 81])/6 + (2465*f[7, 82])/24 + (189*f[7, 83])/4 + 
       (463*f[7, 84])/24 - (1073*f[7, 85])/32 - (2675*f[7, 86])/24 - 
       (269*f[7, 87])/6 + (151*f[7, 88])/8 - (899*f[7, 89])/48 - 
       (215*f[7, 90])/32 + (1483*f[7, 91])/8 - (721*f[7, 92])/12 - 
       (583*f[7, 93])/32 + (2761*f[7, 94])/48 - 90*f[7, 95] + 
       (1997*f[7, 96])/48 + (141*f[7, 97])/16 + (141*f[7, 98])/16 - 
       (473*f[7, 99])/16 - (10405*f[7, 100])/24 - (859*f[7, 101])/16 - 
       (1567*f[7, 102])/16 + (461*f[7, 103])/48 - (3475*f[7, 104])/48 + 
       (175*f[7, 105])/12 + (586*f[7, 106])/3 - (1043*f[7, 107])/4 + 
       (1129*f[7, 108])/16 + (769*f[7, 109])/16 - (47*f[7, 110])/96 - 
       (521*f[7, 111])/48 + (2297*f[7, 112])/48 + (2935*f[7, 113])/48 + 
       39*f[7, 114] + (4763*f[7, 115])/96 + (19*f[7, 116])/6 - 
       (9627*f[7, 117])/8 + (2155*f[7, 118])/96 + (5443*f[7, 119])/32 + 
       (3065*f[7, 120])/48 - (3107*f[7, 121])/48 + (6967*f[7, 122])/48 + 
       (1793*f[7, 123])/48 - (1225*f[7, 124])/12 - (5705*f[7, 125])/48 + 
       (3145*f[7, 126])/48 - 4*f[7, 129] + f[7, 135]/2 - 6*f[7, 136] - 
       (3*f[7, 137])/4 + (55*f[7, 138])/48 - 4*f[7, 144] + 2*f[7, 145] - 
       56*f[7, 146] - (259*f[7, 147])/12 - (341*f[7, 148])/3 - 
       (10331*f[7, 149])/48 - (1563*f[7, 150])/8)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (f[7, 25] + f[7, 29] + f[7, 34] + 2*f[7, 35] - 2*f[7, 36] - 2*f[7, 41] - 
       4*f[7, 42] - 8*f[7, 45] - 8*f[7, 46] - f[7, 47]/2 + (7*f[7, 48])/2 + 
       3*f[7, 49] + (3*f[7, 51])/2 + 9*f[7, 52] + f[7, 54] - 4*f[7, 55] - 
       (63*f[7, 56])/8 - (155*f[7, 57])/16 + 27*f[7, 58] + (61*f[7, 59])/6 - 
       (257*f[7, 60])/32 - (391*f[7, 61])/16 - (247*f[7, 62])/12 - 
       (247*f[7, 63])/12 + (247*f[7, 64])/12 - (343*f[7, 65])/16 - 
       (5*f[7, 66])/8 - (221*f[7, 67])/16 + (27*f[7, 68])/4 + 
       (11*f[7, 69])/4 + (109*f[7, 70])/16 - (109*f[7, 71])/16 + 
       (5*f[7, 72])/4 - (39*f[7, 73])/4 + (3*f[7, 74])/4 - 
       (337*f[7, 75])/48 + (289*f[7, 76])/32 - (313*f[7, 77])/32 - 
       (11*f[7, 78])/8 + (769*f[7, 79])/48 - (443*f[7, 80])/48 + 
       155*f[7, 81] - (179*f[7, 82])/24 - (375*f[7, 83])/4 - 
       (187*f[7, 84])/48 - (973*f[7, 85])/96 - (701*f[7, 86])/48 - 
       (461*f[7, 87])/48 + (217*f[7, 88])/48 + (461*f[7, 89])/24 - 
       (787*f[7, 90])/96 - (5509*f[7, 91])/24 + (47*f[7, 92])/4 + 
       (2069*f[7, 93])/96 - (1533*f[7, 94])/16 - (23*f[7, 95])/16 - 
       (301*f[7, 96])/16 + (167*f[7, 97])/48 + (551*f[7, 98])/48 - 
       (325*f[7, 99])/48 + (85*f[7, 100])/24 - (293*f[7, 101])/48 + 
       (5023*f[7, 102])/48 - (55*f[7, 103])/6 + (5105*f[7, 104])/48 - 
       (1085*f[7, 105])/48 - (197*f[7, 106])/3 - (13*f[7, 107])/6 - 
       (559*f[7, 108])/12 - (497*f[7, 109])/8 - (517*f[7, 110])/32 - 
       (589*f[7, 111])/24 + (209*f[7, 112])/8 - (2353*f[7, 113])/48 - 
       (2087*f[7, 114])/48 - (7195*f[7, 115])/96 + (1769*f[7, 116])/48 + 
       (6277*f[7, 117])/24 - (3839*f[7, 118])/96 - (4001*f[7, 119])/96 - 
       (123*f[7, 120])/8 + (115*f[7, 121])/8 - (257*f[7, 122])/12 + 
       (49*f[7, 123])/4 + (69*f[7, 124])/8 + (229*f[7, 125])/6 + 
       (869*f[7, 126])/48 + 2*f[7, 135] - 2*f[7, 136] + (187*f[7, 137])/4 + 
       (573*f[7, 138])/16 - 10*f[7, 145] + 74*f[7, 146] + (93*f[7, 147])/2 + 
       71*f[7, 148] + (1829*f[7, 149])/16 + (1103*f[7, 150])/8)*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u] + 
     (f[7, 6] + f[7, 36] + f[7, 37]/2 - f[7, 39] - f[7, 40] + 2*f[7, 41] + 
       2*f[7, 42] + 3*f[7, 43] + 2*f[7, 44] - f[7, 45] - f[7, 46] + 
       2*f[7, 47] - (15*f[7, 48])/4 + f[7, 49]/2 - f[7, 50] + f[7, 51]/4 + 
       f[7, 52] - (3*f[7, 53])/2 + (5*f[7, 54])/4 - (7*f[7, 55])/2 + 
       (13*f[7, 56])/4 - (111*f[7, 57])/16 - 43*f[7, 58] + 
       (235*f[7, 59])/24 + (59*f[7, 60])/32 + (9*f[7, 61])/16 + 
       (427*f[7, 62])/24 + (427*f[7, 63])/24 - (427*f[7, 64])/24 + 
       (465*f[7, 65])/16 - (299*f[7, 66])/8 + (37*f[7, 67])/16 - 
       (303*f[7, 68])/4 - (299*f[7, 69])/4 + (267*f[7, 70])/16 - 
       (267*f[7, 71])/16 + (147*f[7, 72])/2 - (301*f[7, 73])/4 - 
       (293*f[7, 74])/4 + (983*f[7, 75])/48 + (3247*f[7, 76])/32 - 
       (2525*f[7, 77])/32 + (313*f[7, 78])/8 - (2141*f[7, 79])/48 + 
       (271*f[7, 80])/48 - (1085*f[7, 81])/8 + (5797*f[7, 82])/24 + 
       154*f[7, 83] + (1907*f[7, 84])/48 - (7957*f[7, 85])/96 - 
       (10631*f[7, 86])/48 - (4709*f[7, 87])/48 + (1819*f[7, 88])/48 - 
       (757*f[7, 89])/24 - (1687*f[7, 90])/96 + (5927*f[7, 91])/24 - 
       (1889*f[7, 92])/16 - (6793*f[7, 93])/96 + (1119*f[7, 94])/16 - 
       (2659*f[7, 95])/16 + (941*f[7, 96])/16 + (2513*f[7, 97])/48 + 
       (2561*f[7, 98])/48 - (3043*f[7, 99])/48 - (15863*f[7, 100])/24 - 
       (3557*f[7, 101])/48 - (7049*f[7, 102])/48 + (28*f[7, 103])/3 - 
       (5149*f[7, 104])/48 - (125*f[7, 105])/48 + (8879*f[7, 106])/24 - 
       (1118*f[7, 107])/3 + (2881*f[7, 108])/24 + 91*f[7, 109] - 
       (591*f[7, 110])/32 - (1039*f[7, 111])/24 + (845*f[7, 112])/8 + 
       (1837*f[7, 113])/24 + (3223*f[7, 114])/48 + (8183*f[7, 115])/96 + 
       (587*f[7, 116])/48 - (47795*f[7, 117])/24 + (2263*f[7, 118])/96 + 
       (26659*f[7, 119])/96 + (2101*f[7, 120])/16 - (439*f[7, 121])/4 + 
       (6263*f[7, 122])/24 + (599*f[7, 123])/8 - (1473*f[7, 124])/8 - 
       (4607*f[7, 125])/24 + (5765*f[7, 126])/48 + f[7, 133]/2 + 
       2*f[7, 134] - (3*f[7, 135])/4 - (57*f[7, 136])/4 + (417*f[7, 137])/4 + 
       (1619*f[7, 138])/16 - 3*f[7, 145] - 58*f[7, 146] - (213*f[7, 147])/8 - 
       (627*f[7, 148])/8 - (2295*f[7, 149])/16 - (10531*f[7, 150])/48)*
      HPL[{0, 1, 1}, 1 - u]^2 + (f[7, 30]/4 + 2*f[7, 38] - f[7, 46] - 
       f[7, 47]/2 + (3*f[7, 50])/2 - f[7, 52] + (3*f[7, 53])/2 + 3*f[7, 55] + 
       f[7, 56]/8 + (33*f[7, 57])/16 + 8*f[7, 58] - (11*f[7, 59])/12 + 
       (19*f[7, 60])/32 + (5*f[7, 61])/16 - (29*f[7, 62])/12 - 
       (29*f[7, 63])/12 + (29*f[7, 64])/12 + (129*f[7, 65])/16 - 
       (69*f[7, 66])/8 - (149*f[7, 67])/16 - (189*f[7, 68])/8 - 
       (93*f[7, 69])/4 + (99*f[7, 70])/16 - (99*f[7, 71])/16 + 
       (211*f[7, 72])/8 - (187*f[7, 73])/8 - (195*f[7, 74])/8 - 
       (907*f[7, 75])/96 + (605*f[7, 76])/16 - (709*f[7, 77])/32 + 
       (107*f[7, 78])/8 - (125*f[7, 79])/24 - (37*f[7, 80])/48 + 
       (501*f[7, 81])/8 + (1871*f[7, 82])/24 + (161*f[7, 83])/8 + 
       (19*f[7, 84])/3 - (827*f[7, 85])/24 - (8777*f[7, 86])/96 - 
       (4193*f[7, 87])/96 + (89*f[7, 88])/12 - (49*f[7, 89])/48 + 
       (469*f[7, 90])/96 - (575*f[7, 91])/24 - (489*f[7, 92])/16 - 
       (1279*f[7, 93])/48 - (819*f[7, 94])/32 - (863*f[7, 95])/16 - 
       (9*f[7, 96])/4 + (569*f[7, 97])/24 + (581*f[7, 98])/24 - 
       (2239*f[7, 99])/96 - (829*f[7, 100])/6 - (1349*f[7, 101])/96 + 
       (637*f[7, 102])/96 - (989*f[7, 103])/96 + (1919*f[7, 104])/96 - 
       (65*f[7, 105])/6 + (557*f[7, 106])/12 - (901*f[7, 107])/12 + 
       (209*f[7, 108])/24 - (37*f[7, 109])/4 - (45*f[7, 110])/16 - 
       (1633*f[7, 111])/48 + (1293*f[7, 112])/32 + (25*f[7, 113])/12 + 
       (35*f[7, 114])/12 - (2309*f[7, 115])/96 + (919*f[7, 116])/48 - 
       (9193*f[7, 117])/24 - (857*f[7, 118])/48 + (1139*f[7, 119])/24 + 
       (97*f[7, 120])/4 - (37*f[7, 121])/4 + (817*f[7, 122])/24 + 
       (119*f[7, 123])/8 - (193*f[7, 124])/8 - (187*f[7, 125])/24 + 
       (1369*f[7, 126])/48 + 4*f[7, 136] + (101*f[7, 137])/4 + 
       (191*f[7, 138])/8 + 2*f[7, 145] + 8*f[7, 146] + (31*f[7, 147])/4 - 
       (761*f[7, 148])/32 - (1027*f[7, 149])/16 - (377*f[7, 150])/96)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (-f[7, 10]/3 - f[7, 30]/2 + f[7, 35]/3 - (2*f[7, 38])/3 + f[7, 40]/3 - 
       f[7, 45]/2 - f[7, 46]/6 + f[7, 47]/3 + f[7, 48]/4 - f[7, 49]/24 - 
       f[7, 50]/6 + f[7, 51]/6 - f[7, 52]/6 + f[7, 53]/4 + (5*f[7, 54])/24 - 
       (13*f[7, 55])/4 - (43*f[7, 56])/32 - (595*f[7, 57])/192 - 4*f[7, 58] + 
       (35*f[7, 59])/12 - (243*f[7, 60])/128 - (823*f[7, 61])/192 + 
       (203*f[7, 62])/96 + (203*f[7, 63])/96 - (203*f[7, 64])/96 - 
       (85*f[7, 65])/64 - (39*f[7, 66])/32 + (443*f[7, 67])/192 + 
       (53*f[7, 68])/48 + (19*f[7, 69])/48 + (133*f[7, 70])/192 - 
       (133*f[7, 71])/192 - (31*f[7, 72])/16 - f[7, 73]/48 + 
       (53*f[7, 74])/48 + (287*f[7, 75])/48 - (437*f[7, 76])/128 - 
       (1913*f[7, 77])/384 - (25*f[7, 78])/32 + (25*f[7, 79])/24 + 
       (215*f[7, 80])/96 - (433*f[7, 81])/48 - (1087*f[7, 82])/96 - 
       (407*f[7, 83])/48 + (133*f[7, 84])/96 + (1699*f[7, 85])/384 + 
       (1061*f[7, 86])/96 + (653*f[7, 87])/96 + (167*f[7, 88])/96 - 
       (29*f[7, 89])/16 - (477*f[7, 90])/128 + (1021*f[7, 91])/96 + 
       (835*f[7, 92])/192 + (2573*f[7, 93])/384 + (637*f[7, 94])/96 + 
       (43*f[7, 95])/96 + (1843*f[7, 96])/192 - (1199*f[7, 97])/192 - 
       (1103*f[7, 98])/192 + (3*f[7, 99])/8 - (4141*f[7, 100])/96 - 
       (1519*f[7, 101])/192 - (613*f[7, 102])/96 + (183*f[7, 103])/32 - 
       (1087*f[7, 104])/192 + (245*f[7, 105])/32 + (187*f[7, 106])/24 - 
       (217*f[7, 107])/6 + (35*f[7, 108])/8 + (367*f[7, 109])/96 + 
       (367*f[7, 110])/128 + (313*f[7, 111])/48 - (107*f[7, 112])/96 + 
       (655*f[7, 113])/96 - f[7, 114]/32 + (3397*f[7, 115])/384 - 
       (101*f[7, 116])/32 - (2559*f[7, 117])/32 + (2701*f[7, 118])/384 + 
       (1975*f[7, 119])/128 + (139*f[7, 120])/96 - (893*f[7, 121])/96 + 
       (179*f[7, 122])/12 + (229*f[7, 123])/48 - (445*f[7, 124])/32 - 
       (607*f[7, 125])/32 + (343*f[7, 126])/96 + f[7, 135]/8 - 
       (47*f[7, 136])/24 - (141*f[7, 137])/16 - (333*f[7, 138])/64 - 
       (2*f[7, 145])/3 - 3*f[7, 146] - (21*f[7, 147])/16 - 
       (129*f[7, 148])/16 - (2821*f[7, 149])/192 - (2567*f[7, 150])/96)*
      HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - v] + 
     (-f[7, 30]/12 - 2*f[7, 43] - 2*f[7, 44] + f[7, 47]/2 - (3*f[7, 49])/2 - 
       (9*f[7, 50])/2 - f[7, 51]/2 + f[7, 52] - (9*f[7, 53])/2 - f[7, 54] - 
       (13*f[7, 55])/3 - (7*f[7, 56])/4 + 22*f[7, 58] + f[7, 59]/4 - 
       (3*f[7, 60])/2 + (3*f[7, 61])/2 - (189*f[7, 62])/16 - 
       (189*f[7, 63])/16 + (189*f[7, 64])/16 - (199*f[7, 65])/12 + 
       (187*f[7, 66])/12 - (17*f[7, 67])/24 + (235*f[7, 68])/6 + 
       (227*f[7, 69])/6 - (77*f[7, 70])/8 + (69*f[7, 71])/8 - 
       (517*f[7, 72])/12 + (463*f[7, 73])/12 + (475*f[7, 74])/12 - 
       (35*f[7, 75])/6 - (2735*f[7, 76])/48 + (1139*f[7, 77])/24 - 
       (203*f[7, 78])/12 + (95*f[7, 79])/6 - (113*f[7, 80])/12 + 
       (421*f[7, 81])/12 - (391*f[7, 82])/4 - (112*f[7, 83])/3 - 
       (169*f[7, 84])/12 + (871*f[7, 85])/24 + (673*f[7, 86])/6 + 
       47*f[7, 87] - (181*f[7, 88])/12 + (265*f[7, 89])/16 - 
       (11*f[7, 90])/12 - (1543*f[7, 91])/12 + (2269*f[7, 92])/48 + 
       (137*f[7, 93])/6 - (1565*f[7, 94])/48 + (491*f[7, 95])/6 - 
       (275*f[7, 96])/8 - (89*f[7, 97])/6 - (89*f[7, 98])/6 + 
       (1495*f[7, 99])/48 + (4361*f[7, 100])/12 + 45*f[7, 101] + 
       (1131*f[7, 102])/16 - (341*f[7, 103])/48 + (353*f[7, 104])/8 - 
       (289*f[7, 105])/24 - (443*f[7, 106])/3 + (887*f[7, 107])/4 - 
       (2705*f[7, 108])/48 - (1765*f[7, 109])/48 - (343*f[7, 110])/48 + 
       (335*f[7, 111])/16 - (2101*f[7, 112])/48 - (2447*f[7, 113])/48 - 
       (731*f[7, 114])/24 - (577*f[7, 115])/24 - (31*f[7, 116])/24 + 
       (12101*f[7, 117])/12 - (149*f[7, 118])/12 - (6853*f[7, 119])/48 - 
       (867*f[7, 120])/16 + (2387*f[7, 121])/48 - (1749*f[7, 122])/16 - 
       (1511*f[7, 123])/48 + (1937*f[7, 124])/24 + (4313*f[7, 125])/48 - 
       (2317*f[7, 126])/48 - 4*f[7, 129] + f[7, 135]/2 - 6*f[7, 136] - 
       (3*f[7, 137])/4 + (55*f[7, 138])/48 + 4*f[7, 144] - 2*f[7, 145] + 
       56*f[7, 146] + (259*f[7, 147])/12 + (341*f[7, 148])/3 + 
       (10331*f[7, 149])/48 + (1563*f[7, 150])/8)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (8*f[7, 24] - f[7, 36] + 2*f[7, 43] + 2*f[7, 44] + (3*f[7, 49])/2 + 
       f[7, 51]/2 + f[7, 54] + (19*f[7, 56])/8 + (5*f[7, 57])/16 + 
       18*f[7, 58] - (23*f[7, 59])/6 + (47*f[7, 60])/32 + (33*f[7, 61])/16 - 
       (397*f[7, 62])/48 - (397*f[7, 63])/48 + (397*f[7, 64])/48 + 
       (33*f[7, 65])/16 + (3*f[7, 66])/8 - (141*f[7, 67])/16 + 
       (3*f[7, 68])/4 + (3*f[7, 69])/4 - (3*f[7, 70])/16 + (3*f[7, 71])/16 + 
       (3*f[7, 72])/4 + (3*f[7, 73])/4 + (3*f[7, 74])/4 - (631*f[7, 75])/48 + 
       (193*f[7, 76])/32 + (39*f[7, 77])/32 - (23*f[7, 78])/8 + 
       (97*f[7, 79])/48 - (467*f[7, 80])/48 + (113*f[7, 81])/2 + 
       (421*f[7, 82])/24 + (49*f[7, 83])/4 - (79*f[7, 84])/48 - 
       (1057*f[7, 85])/96 - (839*f[7, 86])/48 - (551*f[7, 87])/48 - 
       (107*f[7, 88])/48 + (307*f[7, 89])/48 - (187*f[7, 90])/96 - 
       (3079*f[7, 91])/24 + (9*f[7, 92])/8 - (1171*f[7, 93])/96 - 
       (729*f[7, 94])/16 - (3*f[7, 95])/16 - (251*f[7, 96])/16 + 
       (881*f[7, 97])/48 + (881*f[7, 98])/48 - (125*f[7, 99])/24 + 
       (1597*f[7, 100])/24 + (203*f[7, 101])/24 + (1133*f[7, 102])/24 - 
       (44*f[7, 103])/3 + (533*f[7, 104])/12 - (899*f[7, 105])/48 - 
       (341*f[7, 106])/12 + (415*f[7, 107])/12 - (883*f[7, 108])/48 - 
       (227*f[7, 109])/16 - (147*f[7, 110])/32 - (1019*f[7, 111])/48 + 
       (147*f[7, 112])/16 - (403*f[7, 113])/12 - (473*f[7, 114])/48 - 
       (2851*f[7, 115])/96 + (515*f[7, 116])/48 + (3655*f[7, 117])/24 - 
       (2549*f[7, 118])/96 - (2765*f[7, 119])/96 - (13*f[7, 120])/16 + 
       (293*f[7, 121])/16 - (1529*f[7, 122])/48 - (39*f[7, 123])/16 + 
       (85*f[7, 124])/4 + (2015*f[7, 125])/48 - (161*f[7, 126])/24 + 
       4*f[7, 129] + 2*f[7, 134] + f[7, 135]/2 + 2*f[7, 136] + 
       (61*f[7, 137])/4 + (193*f[7, 138])/16 + 34*f[7, 146] + 
       (75*f[7, 147])/4 + (283*f[7, 148])/8 + (595*f[7, 149])/16 + 
       (733*f[7, 150])/8)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v] + (-f[7, 25] - f[7, 29] - f[7, 34] - 2*f[7, 35] + 
       2*f[7, 42] + 8*f[7, 45] + 8*f[7, 46] - f[7, 47] + (3*f[7, 48])/2 - 
       f[7, 49] - 2*f[7, 50] - f[7, 51]/2 - 8*f[7, 52] - 2*f[7, 53] - 
       f[7, 54] + 2*f[7, 55] + (21*f[7, 56])/4 + (61*f[7, 57])/8 - 
       35*f[7, 58] - (121*f[7, 59])/12 + (135*f[7, 60])/16 + 
       (153*f[7, 61])/8 + (553*f[7, 62])/24 + (553*f[7, 63])/24 - 
       (553*f[7, 64])/24 + (357*f[7, 65])/8 - (107*f[7, 66])/4 + 
       (41*f[7, 67])/8 - (107*f[7, 68])/2 - (103*f[7, 69])/2 + 
       (43*f[7, 70])/8 - (43*f[7, 71])/8 + (95*f[7, 72])/2 - 38*f[7, 73] - 
       (99*f[7, 74])/2 + (55*f[7, 75])/6 + (1033*f[7, 76])/16 - 
       (873*f[7, 77])/16 + (103*f[7, 78])/4 - (1033*f[7, 79])/24 - 
       (49*f[7, 80])/24 - (651*f[7, 81])/4 + (1985*f[7, 82])/12 + 
       (379*f[7, 83])/2 + (619*f[7, 84])/24 - (2447*f[7, 85])/48 - 
       (1721*f[7, 86])/12 - (719*f[7, 87])/12 + (431*f[7, 88])/24 - 
       (673*f[7, 89])/24 - (347*f[7, 90])/48 + (2689*f[7, 91])/12 - 
       (663*f[7, 92])/8 - (3287*f[7, 93])/48 + (157*f[7, 94])/2 - 
       (867*f[7, 95])/8 + (345*f[7, 96])/8 + (877*f[7, 97])/24 + 
       (685*f[7, 98])/24 - (833*f[7, 99])/24 - (4849*f[7, 100])/12 - 
       (1093*f[7, 101])/24 - (3289*f[7, 102])/24 - (55*f[7, 103])/24 - 
       (2855*f[7, 104])/24 + (71*f[7, 105])/24 + (3157*f[7, 106])/12 - 
       (1525*f[7, 107])/6 + (2383*f[7, 108])/24 + (779*f[7, 109])/8 + 
       (109*f[7, 110])/16 - (673*f[7, 111])/24 + (213*f[7, 112])/4 + 
       (1297*f[7, 113])/24 + (1673*f[7, 114])/24 + (4123*f[7, 115])/48 - 
       (281*f[7, 116])/24 - (17365*f[7, 117])/12 + (1175*f[7, 118])/48 + 
       (9281*f[7, 119])/48 + 90*f[7, 120] - (501*f[7, 121])/8 + 
       (3563*f[7, 122])/24 + (291*f[7, 123])/8 - (209*f[7, 124])/2 - 
       (2627*f[7, 125])/24 + (325*f[7, 126])/6 + 2*f[7, 135] - 2*f[7, 136] + 
       (187*f[7, 137])/4 + (573*f[7, 138])/16 + 10*f[7, 145] - 74*f[7, 146] - 
       (93*f[7, 147])/2 - 71*f[7, 148] - (1829*f[7, 149])/16 - 
       (1103*f[7, 150])/8)*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (-f[7, 6] - f[7, 22]/2 + 2*f[7, 24] + f[7, 30]/2 + f[7, 34]/2 + 
       f[7, 36] - f[7, 37]/2 + f[7, 39] + f[7, 40] - f[7, 43] - 2*f[7, 45] - 
       2*f[7, 46] - f[7, 47]/4 + f[7, 48] - f[7, 49]/4 + 7*f[7, 50] - 
       f[7, 51] + 6*f[7, 53] - 2*f[7, 54] + 4*f[7, 55] + (11*f[7, 57])/8 + 
       15*f[7, 58] - (85*f[7, 59])/24 + (17*f[7, 60])/16 + (39*f[7, 61])/8 - 
       (565*f[7, 62])/96 - (565*f[7, 63])/96 + (565*f[7, 64])/96 + 
       (71*f[7, 65])/8 - (33*f[7, 66])/4 - (131*f[7, 67])/8 - 
       (89*f[7, 68])/4 - (41*f[7, 69])/2 + (47*f[7, 70])/8 - 
       (43*f[7, 71])/8 + (51*f[7, 72])/2 - 22*f[7, 73] - (89*f[7, 74])/4 - 
       (2071*f[7, 75])/96 + (157*f[7, 76])/4 - (213*f[7, 77])/16 + 
       (37*f[7, 78])/4 - (221*f[7, 79])/96 - (287*f[7, 80])/96 + 
       (193*f[7, 81])/2 + (2327*f[7, 82])/24 + 26*f[7, 83] + 
       (245*f[7, 84])/96 - (4019*f[7, 85])/96 - (9185*f[7, 86])/96 - 
       (4577*f[7, 87])/96 + (277*f[7, 88])/96 + f[7, 89]/96 + 
       (709*f[7, 90])/96 - (1343*f[7, 91])/24 - (927*f[7, 92])/32 - 
       (3269*f[7, 93])/96 - (1375*f[7, 94])/32 - (1491*f[7, 95])/32 - 
       (209*f[7, 96])/16 + (1249*f[7, 97])/48 + (1345*f[7, 98])/48 - 
       (151*f[7, 99])/6 - (257*f[7, 100])/3 - (479*f[7, 101])/96 + 
       (281*f[7, 102])/12 - (589*f[7, 103])/48 + (3725*f[7, 104])/96 - 
       (1871*f[7, 105])/96 + (91*f[7, 106])/6 - (827*f[7, 107])/24 - 
       (745*f[7, 108])/96 - (575*f[7, 109])/32 - (135*f[7, 110])/16 - 
       (4709*f[7, 111])/96 + (1173*f[7, 112])/32 - (617*f[7, 113])/48 - 
       (365*f[7, 114])/96 - (4487*f[7, 115])/96 + (1415*f[7, 116])/96 - 
       (4933*f[7, 117])/24 - (341*f[7, 118])/12 + (455*f[7, 119])/24 + 
       (597*f[7, 120])/32 + (301*f[7, 121])/32 - (467*f[7, 122])/96 + 
       (219*f[7, 123])/32 + (57*f[7, 124])/16 + (2855*f[7, 125])/96 + 
       (121*f[7, 126])/12 + f[7, 133]/2 + 2*f[7, 134] - (3*f[7, 135])/4 - 
       (57*f[7, 136])/4 + (417*f[7, 137])/4 + (1619*f[7, 138])/16 + 
       3*f[7, 145] + 58*f[7, 146] + (213*f[7, 147])/8 + (627*f[7, 148])/8 + 
       (2295*f[7, 149])/16 + (10531*f[7, 150])/48)*HPL[{0, 1, 1}, 1 - v]^2 + 
     (-f[7, 25]/2 - f[7, 29]/2 + f[7, 42] - f[7, 51]/2 - 2*f[7, 52] - 
       f[7, 54]/2 - 2*f[7, 55] - f[7, 56]/2 + (3*f[7, 57])/2 + 3*f[7, 58] + 
       f[7, 59]/3 - f[7, 61]/2 + f[7, 62]/48 + f[7, 63]/48 - f[7, 64]/48 - 
       5*f[7, 65] + (9*f[7, 66])/2 + f[7, 67] + 10*f[7, 68] + 10*f[7, 69] - 
       (5*f[7, 70])/2 + (5*f[7, 71])/2 - 10*f[7, 72] + 11*f[7, 73] + 
       10*f[7, 74] + (4*f[7, 75])/3 - (57*f[7, 76])/4 + (29*f[7, 77])/4 - 
       5*f[7, 78] + (77*f[7, 79])/12 + (61*f[7, 80])/24 + 8*f[7, 81] - 
       (223*f[7, 82])/6 - (47*f[7, 83])/2 - (53*f[7, 84])/12 + 
       (79*f[7, 85])/6 + (199*f[7, 86])/6 + (47*f[7, 87])/3 - 
       (49*f[7, 88])/12 + (155*f[7, 89])/48 + (35*f[7, 90])/12 - 
       (115*f[7, 91])/12 + (141*f[7, 92])/8 + (67*f[7, 93])/6 + f[7, 94]/2 + 
       (41*f[7, 95])/2 - (21*f[7, 96])/8 - (205*f[7, 97])/24 - 
       (205*f[7, 98])/24 + (439*f[7, 99])/48 + (401*f[7, 100])/6 + 
       (275*f[7, 101])/48 + (515*f[7, 102])/48 + (13*f[7, 103])/24 + 
       (295*f[7, 104])/48 + (157*f[7, 105])/24 - (499*f[7, 106])/12 + 
       (395*f[7, 107])/12 - (569*f[7, 108])/48 - (175*f[7, 109])/16 + 
       (111*f[7, 110])/16 + (497*f[7, 111])/48 - (231*f[7, 112])/16 - 
       (47*f[7, 113])/48 - (179*f[7, 114])/24 - (107*f[7, 115])/24 - 
       (67*f[7, 116])/24 + (2515*f[7, 117])/12 + (91*f[7, 118])/48 - 
       (329*f[7, 119])/12 - (269*f[7, 120])/16 + (141*f[7, 121])/16 - 
       (1147*f[7, 122])/48 - (133*f[7, 123])/16 + (137*f[7, 124])/8 + 
       (649*f[7, 125])/48 - (581*f[7, 126])/48 + f[7, 135]/4 - 
       (13*f[7, 136])/4 - (87*f[7, 137])/8 - (321*f[7, 138])/32 + 
       2*f[7, 145] + 13*f[7, 146] + (49*f[7, 147])/8 + (163*f[7, 148])/16 + 
       (877*f[7, 149])/32 + (367*f[7, 150])/12)*HPL[{1}, 1 - u]^2*
      HPL[{0, 0, 0, 1}, 1 - u] + (-4*f[7, 23] - f[7, 34] + 2*f[7, 35] - 
       8*f[7, 38] + 2*f[7, 40] + 4*f[7, 41] + 4*f[7, 42] + 2*f[7, 45] + 
       6*f[7, 46] - (3*f[7, 48])/2 - (3*f[7, 49])/2 + (3*f[7, 51])/2 - 
       2*f[7, 52] + 5*f[7, 53] - f[7, 54]/2 - 8*f[7, 55] + (5*f[7, 56])/8 - 
       (445*f[7, 57])/16 - 53*f[7, 58] + (127*f[7, 59])/12 - 
       (295*f[7, 60])/32 - (441*f[7, 61])/16 + (875*f[7, 62])/24 + 
       (875*f[7, 63])/24 - (875*f[7, 64])/24 + (1327*f[7, 65])/16 - 
       (947*f[7, 66])/8 - (451*f[7, 67])/16 - (969*f[7, 68])/4 - 
       (955*f[7, 69])/4 + (971*f[7, 70])/16 - (971*f[7, 71])/16 + 
       (945*f[7, 72])/4 - (973*f[7, 73])/4 - (953*f[7, 74])/4 + 
       (877*f[7, 75])/48 + (10343*f[7, 76])/32 - (8391*f[7, 77])/32 + 
       (899*f[7, 78])/8 - (4891*f[7, 79])/48 - (241*f[7, 80])/48 + 
       (257*f[7, 81])/4 + (19079*f[7, 82])/24 + (1627*f[7, 83])/4 + 
       (5293*f[7, 84])/48 - (28643*f[7, 85])/96 - (36223*f[7, 86])/48 - 
       (16075*f[7, 87])/48 + (5393*f[7, 88])/48 - (901*f[7, 89])/12 - 
       (4433*f[7, 90])/96 + (10345*f[7, 91])/24 - (2749*f[7, 92])/8 - 
       (23597*f[7, 93])/96 + (849*f[7, 94])/16 - (8723*f[7, 95])/16 + 
       (2437*f[7, 96])/16 + (6949*f[7, 97])/48 + (6757*f[7, 98])/48 - 
       (11309*f[7, 99])/48 - (49429*f[7, 100])/24 - (11269*f[7, 101])/48 - 
       (13345*f[7, 102])/48 + (119*f[7, 103])/12 - (7007*f[7, 104])/48 - 
       (805*f[7, 105])/48 + (11351*f[7, 106])/12 - (3673*f[7, 107])/3 + 
       (7019*f[7, 108])/24 + (717*f[7, 109])/4 - (1503*f[7, 110])/32 - 
       (2677*f[7, 111])/12 + (2983*f[7, 112])/8 + (6877*f[7, 113])/48 + 
       (7037*f[7, 114])/48 + (8431*f[7, 115])/96 + (3733*f[7, 116])/48 - 
       (139873*f[7, 117])/24 + (2063*f[7, 118])/96 + (76073*f[7, 119])/96 + 
       (2811*f[7, 120])/8 - 284*f[7, 121] + (16543*f[7, 122])/24 + 
       (1883*f[7, 123])/8 - (4183*f[7, 124])/8 - (11299*f[7, 125])/24 + 
       (16519*f[7, 126])/48 + 5*f[7, 133] + 2*f[7, 135] - (29*f[7, 136])/2 + 
       375*f[7, 137] + (1405*f[7, 138])/4 - 10*f[7, 145] - 68*f[7, 146] - 
       22*f[7, 147] - 151*f[7, 148] - (2355*f[7, 149])/8 - 
       (1198*f[7, 150])/3)*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (2*f[7, 23] + f[7, 34] - 2*f[7, 35] + 8*f[7, 38] - 2*f[7, 40] - 
       2*f[7, 41] - 2*f[7, 42] - 2*f[7, 45] - 6*f[7, 46] - (3*f[7, 48])/2 + 
       (3*f[7, 49])/2 + 2*f[7, 50] - (3*f[7, 51])/2 + 8*f[7, 52] - 
       3*f[7, 53] + f[7, 54]/2 + 10*f[7, 55] + (47*f[7, 56])/8 + 
       (345*f[7, 57])/16 + 51*f[7, 58] - (157*f[7, 59])/12 + 
       (395*f[7, 60])/32 + (501*f[7, 61])/16 - (427*f[7, 62])/12 - 
       (427*f[7, 63])/12 + (427*f[7, 64])/12 - (835*f[7, 65])/16 + 
       (663*f[7, 66])/8 + (183*f[7, 67])/16 + (685*f[7, 68])/4 + 
       (671*f[7, 69])/4 - (687*f[7, 70])/16 + (687*f[7, 71])/16 - 
       (649*f[7, 72])/4 + (669*f[7, 73])/4 + (657*f[7, 74])/4 - 
       (1633*f[7, 75])/48 - (6963*f[7, 76])/32 + (6203*f[7, 77])/32 - 
       (615*f[7, 78])/8 + (3163*f[7, 79])/48 - (563*f[7, 80])/48 - 
       (119*f[7, 81])/4 - (12755*f[7, 82])/24 - (931*f[7, 83])/4 - 
       (3829*f[7, 84])/48 + (18983*f[7, 85])/96 + (24163*f[7, 86])/48 + 
       (10327*f[7, 87])/48 - (4073*f[7, 88])/48 + (1385*f[7, 89])/24 + 
       (3173*f[7, 90])/96 - (10033*f[7, 91])/24 + (1897*f[7, 92])/8 + 
       (14657*f[7, 93])/96 - (1105*f[7, 94])/16 + (6235*f[7, 95])/16 - 
       (2141*f[7, 96])/16 - (3565*f[7, 97])/48 - (3373*f[7, 98])/48 + 
       (7799*f[7, 99])/48 + (37177*f[7, 100])/24 + (8695*f[7, 101])/48 + 
       (10867*f[7, 102])/48 - (65*f[7, 103])/3 + (6209*f[7, 104])/48 - 
       (1199*f[7, 105])/48 - (8099*f[7, 106])/12 + (5633*f[7, 107])/6 - 
       (661*f[7, 108])/3 - (1017*f[7, 109])/8 + (551*f[7, 110])/32 + 
       (3215*f[7, 111])/24 - (519*f[7, 112])/2 - (6799*f[7, 113])/48 - 
       (4841*f[7, 114])/48 - (7915*f[7, 115])/96 - (2281*f[7, 116])/48 + 
       (102889*f[7, 117])/24 - (4103*f[7, 118])/96 - (56789*f[7, 119])/96 - 
       (959*f[7, 120])/4 + (1853*f[7, 121])/8 - (6419*f[7, 122])/12 - 
       179*f[7, 123] + (3305*f[7, 124])/8 + (2383*f[7, 125])/6 - 
       (12361*f[7, 126])/48 - 5*f[7, 133] - 2*f[7, 135] - (23*f[7, 136])/2 - 
       (353*f[7, 137])/2 - (1357*f[7, 138])/8 + 6*f[7, 145] + 116*f[7, 146] + 
       46*f[7, 147] + (467*f[7, 148])/2 + 425*f[7, 149] + 
       (6709*f[7, 150])/12)*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u] + 
     (f[7, 25]/2 + f[7, 29]/2 - f[7, 42] - f[7, 45] - f[7, 46] + f[7, 47]/2 + 
       f[7, 48]/2 + f[7, 49]/4 - f[7, 50] + f[7, 51]/2 + 3*f[7, 52] - 
       (3*f[7, 53])/2 + f[7, 54]/4 - (3*f[7, 55])/2 - (5*f[7, 56])/16 - 
       (115*f[7, 57])/32 - 10*f[7, 58] + (35*f[7, 59])/12 - 
       (41*f[7, 60])/64 - (7*f[7, 61])/32 + (59*f[7, 62])/48 + 
       (59*f[7, 63])/48 - (59*f[7, 64])/48 + (25*f[7, 65])/32 - 
       (41*f[7, 66])/16 + (127*f[7, 67])/32 - f[7, 68]/8 - (9*f[7, 69])/8 + 
       (17*f[7, 70])/32 - (17*f[7, 71])/32 - (3*f[7, 72])/8 - 
       (19*f[7, 73])/8 - (5*f[7, 74])/8 + (133*f[7, 75])/24 - 
       (67*f[7, 76])/64 - (17*f[7, 77])/64 + (9*f[7, 78])/16 - 
       (151*f[7, 79])/24 - (89*f[7, 80])/48 - (451*f[7, 81])/8 + 
       (143*f[7, 82])/48 + (145*f[7, 83])/8 + (137*f[7, 84])/48 + 
       (481*f[7, 85])/192 + (313*f[7, 86])/48 + (169*f[7, 87])/48 + 
       (103*f[7, 88])/48 - (41*f[7, 89])/12 - (1469*f[7, 90])/192 + 
       (1063*f[7, 91])/48 - (211*f[7, 92])/32 + (559*f[7, 93])/192 + 
       (103*f[7, 94])/8 + (19*f[7, 95])/16 + (187*f[7, 96])/32 + 
       (7*f[7, 97])/96 + (103*f[7, 98])/96 + (49*f[7, 99])/24 - 
       (1123*f[7, 100])/48 - (259*f[7, 101])/96 - (905*f[7, 102])/48 + 
       (107*f[7, 103])/24 - (1931*f[7, 104])/96 - (137*f[7, 105])/48 + 
       (106*f[7, 106])/3 - (43*f[7, 107])/6 + (247*f[7, 108])/24 + 
       (271*f[7, 109])/16 - (491*f[7, 110])/64 + (161*f[7, 111])/24 - 
       (33*f[7, 112])/16 + (113*f[7, 113])/48 + (337*f[7, 114])/48 + 
       (4015*f[7, 115])/192 - (217*f[7, 116])/48 - (4279*f[7, 117])/48 + 
       (1091*f[7, 118])/192 + (2747*f[7, 119])/192 + (171*f[7, 120])/16 - 
       (131*f[7, 121])/16 + (55*f[7, 122])/3 + 4*f[7, 123] - 
       (187*f[7, 124])/16 - (805*f[7, 125])/48 + (227*f[7, 126])/48 + 
       f[7, 135]/4 - (13*f[7, 136])/4 - (87*f[7, 137])/8 - 
       (321*f[7, 138])/32 - 2*f[7, 145] - 13*f[7, 146] - (49*f[7, 147])/8 - 
       (163*f[7, 148])/16 - (877*f[7, 149])/32 - (367*f[7, 150])/12)*
      HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - v] + 
     (4*f[7, 15] - 2*f[7, 23] + 2*f[7, 25] + 2*f[7, 29] - 3*f[7, 34] + 
       2*f[7, 41] + 2*f[7, 42] - 2*f[7, 45] - 2*f[7, 46] + (3*f[7, 47])/2 + 
       f[7, 48]/2 + f[7, 49]/2 - 4*f[7, 50] + (3*f[7, 51])/2 + 4*f[7, 52] - 
       5*f[7, 53] + (3*f[7, 54])/2 - 11*f[7, 55] - (45*f[7, 56])/8 - 
       (111*f[7, 57])/16 - 71*f[7, 58] + (29*f[7, 59])/4 - 
       (109*f[7, 60])/32 - (3*f[7, 61])/16 + (195*f[7, 62])/8 + 
       (195*f[7, 63])/8 - (195*f[7, 64])/8 + (141*f[7, 65])/16 - 
       (37*f[7, 66])/8 + (539*f[7, 67])/16 + (23*f[7, 68])/4 + 
       (11*f[7, 69])/4 - (3*f[7, 70])/16 + (3*f[7, 71])/16 - 
       (43*f[7, 72])/4 + f[7, 73]/4 + (19*f[7, 74])/4 + (233*f[7, 75])/4 - 
       (863*f[7, 76])/32 - (37*f[7, 77])/32 - (11*f[7, 78])/8 - 
       (171*f[7, 79])/8 + (155*f[7, 80])/8 - (693*f[7, 81])/2 - 
       (579*f[7, 82])/8 - (135*f[7, 83])/4 + (63*f[7, 84])/4 + 
       (1463*f[7, 85])/32 + (813*f[7, 86])/8 + (451*f[7, 87])/8 + 
       (25*f[7, 88])/2 - (87*f[7, 89])/4 - (871*f[7, 90])/32 + 
       (2297*f[7, 91])/8 - (173*f[7, 92])/16 + (1745*f[7, 93])/32 + 
       (1091*f[7, 94])/8 + (41*f[7, 95])/2 + (955*f[7, 96])/16 - 
       (495*f[7, 97])/16 - (463*f[7, 98])/16 + (103*f[7, 99])/4 - 
       (829*f[7, 100])/8 - (229*f[7, 101])/16 - 127*f[7, 102] + 
       27*f[7, 103] - (2195*f[7, 104])/16 + (195*f[7, 105])/4 + 
       (539*f[7, 106])/4 - 68*f[7, 107] + (269*f[7, 108])/4 + 
       (631*f[7, 109])/8 - (111*f[7, 110])/32 + (339*f[7, 111])/4 - 
       (127*f[7, 112])/4 + (685*f[7, 113])/8 + (69*f[7, 114])/2 + 
       (4973*f[7, 115])/32 - (139*f[7, 116])/4 - (3993*f[7, 117])/8 + 
       (1981*f[7, 118])/32 + (2885*f[7, 119])/32 + (143*f[7, 120])/4 - 
       (647*f[7, 121])/8 + 152*f[7, 122] + (47*f[7, 123])/2 - 
       (843*f[7, 124])/8 - (1381*f[7, 125])/8 + (159*f[7, 126])/4 - 
       5*f[7, 133] - 2*f[7, 135] - (23*f[7, 136])/2 - (353*f[7, 137])/2 - 
       (1357*f[7, 138])/8 - 6*f[7, 145] - 116*f[7, 146] - 46*f[7, 147] - 
       (467*f[7, 148])/2 - 425*f[7, 149] - (6709*f[7, 150])/12)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-4*f[7, 15] + 3*f[7, 34] + 2*f[7, 45] + 2*f[7, 46] - (5*f[7, 47])/2 + 
       f[7, 48]/2 - f[7, 49]/2 + 8*f[7, 50] + f[7, 51]/2 + 9*f[7, 53] + 
       f[7, 54]/2 + 17*f[7, 55] + (35*f[7, 56])/8 + (53*f[7, 57])/16 + 
       21*f[7, 58] - (33*f[7, 59])/4 + (15*f[7, 60])/32 - (79*f[7, 61])/16 - 
       f[7, 62]/2 - f[7, 63]/2 + f[7, 64]/2 + (609*f[7, 65])/16 - 
       (393*f[7, 66])/8 - (617*f[7, 67])/16 - (525*f[7, 68])/4 - 
       (505*f[7, 69])/4 + (497*f[7, 70])/16 - (497*f[7, 71])/16 + 
       (553*f[7, 72])/4 - (503*f[7, 73])/4 - (521*f[7, 74])/4 - 
       (375*f[7, 75])/8 + (6349*f[7, 76])/32 - (3865*f[7, 77])/32 + 
       (505*f[7, 78])/8 - 40*f[7, 79] - 15*f[7, 80] + (549*f[7, 81])/2 + 
       (3693*f[7, 82])/8 + (969*f[7, 83])/4 + (299*f[7, 84])/8 - 
       (5961*f[7, 85])/32 - (1941*f[7, 86])/4 - (455*f[7, 87])/2 + 
       (329*f[7, 88])/8 - (159*f[7, 89])/8 + (409*f[7, 90])/32 + 
       (385*f[7, 91])/8 - (2783*f[7, 92])/16 - (5407*f[7, 93])/32 - 
       (269*f[7, 94])/4 - (2321*f[7, 95])/8 + (211*f[7, 96])/16 + 
       (1609*f[7, 97])/16 + (1577*f[7, 98])/16 - (533*f[7, 99])/4 - 
       (7241*f[7, 100])/8 - (1523*f[7, 101])/16 - 60*f[7, 102] - 
       (73*f[7, 103])/4 + (255*f[7, 104])/16 - (449*f[7, 105])/8 + 
       (1459*f[7, 106])/4 - (993*f[7, 107])/2 + (755*f[7, 108])/8 + 
       26*f[7, 109] - (699*f[7, 110])/32 - (1425*f[7, 111])/8 + 
       (1621*f[7, 112])/8 + (109*f[7, 113])/8 + (435*f[7, 114])/8 - 
       (2867*f[7, 115])/32 + (541*f[7, 116])/8 - (19393*f[7, 117])/8 - 
       (1391*f[7, 118])/32 + (9841*f[7, 119])/32 + (1175*f[7, 120])/8 - 
       (247*f[7, 121])/4 + (1579*f[7, 122])/8 + (675*f[7, 123])/8 - 
       (1169*f[7, 124])/8 - (143*f[7, 125])/2 + 134*f[7, 126] + 5*f[7, 133] + 
       2*f[7, 135] - (29*f[7, 136])/2 + 375*f[7, 137] + (1405*f[7, 138])/4 + 
       10*f[7, 145] + 68*f[7, 146] + 22*f[7, 147] + 151*f[7, 148] + 
       (2355*f[7, 149])/8 + (1198*f[7, 150])/3)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v] + (-f[7, 25]/2 - f[7, 29]/2 - f[7, 51]/2 - 
       2*f[7, 52] - f[7, 54]/2 + f[7, 55] - f[7, 56]/4 + (5*f[7, 57])/8 + 
       7*f[7, 58] + f[7, 59]/6 + (3*f[7, 60])/16 + f[7, 61]/8 - 
       (91*f[7, 62])/48 - (91*f[7, 63])/48 + (91*f[7, 64])/48 - 
       (43*f[7, 65])/8 + (21*f[7, 66])/4 - (5*f[7, 67])/8 + (23*f[7, 68])/2 + 
       (23*f[7, 69])/2 - (23*f[7, 70])/8 + (23*f[7, 71])/8 - 
       (23*f[7, 72])/2 + (25*f[7, 73])/2 + (23*f[7, 74])/2 - 
       (121*f[7, 75])/48 - (245*f[7, 76])/16 + (147*f[7, 77])/16 - 
       (23*f[7, 78])/4 + (197*f[7, 79])/24 + (19*f[7, 80])/12 + 
       (107*f[7, 81])/4 - (227*f[7, 82])/6 - (107*f[7, 83])/4 - 
       (143*f[7, 84])/24 + (151*f[7, 85])/12 + (1585*f[7, 86])/48 + 
       (733*f[7, 87])/48 - (139*f[7, 88])/24 + (247*f[7, 89])/48 + 
       (181*f[7, 90])/48 - (211*f[7, 91])/6 + (313*f[7, 92])/16 + 
       (59*f[7, 93])/6 - (39*f[7, 94])/4 + (187*f[7, 95])/8 - 
       (59*f[7, 96])/8 - (109*f[7, 97])/12 - (109*f[7, 98])/12 + 
       (229*f[7, 99])/24 + (1091*f[7, 100])/12 + (421*f[7, 101])/48 + 
       (527*f[7, 102])/24 - (49*f[7, 103])/24 + (815*f[7, 104])/48 + 
       (43*f[7, 105])/12 - (701*f[7, 106])/12 + (559*f[7, 107])/12 - 
       (901*f[7, 108])/48 - (275*f[7, 109])/16 + (95*f[7, 110])/16 + 
       (325*f[7, 111])/48 - (61*f[7, 112])/4 - (349*f[7, 113])/48 - 
       (67*f[7, 114])/6 - (665*f[7, 115])/48 - (4*f[7, 116])/3 + 
       (854*f[7, 117])/3 - (83*f[7, 118])/24 - (1891*f[7, 119])/48 - 
       (335*f[7, 120])/16 + (245*f[7, 121])/16 - (1811*f[7, 122])/48 - 
       (185*f[7, 123])/16 + (215*f[7, 124])/8 + (1301*f[7, 125])/48 - 
       (811*f[7, 126])/48 + f[7, 135]/4 + (25*f[7, 136])/4 + 
       (43*f[7, 137])/2 + (169*f[7, 138])/8 - f[7, 145] + 2*f[7, 146] - 
       (33*f[7, 147])/8 + (715*f[7, 148])/16 + (951*f[7, 149])/8 + 
       (2491*f[7, 150])/48)*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - u] + 
     (f[7, 25]/2 + f[7, 29]/2 + f[7, 51]/2 + 2*f[7, 52] + f[7, 54]/2 + 
       f[7, 56]/4 - (5*f[7, 57])/8 - 7*f[7, 58] - f[7, 59]/6 - 
       (3*f[7, 60])/16 - f[7, 61]/8 + (91*f[7, 62])/48 + (91*f[7, 63])/48 - 
       (91*f[7, 64])/48 + (39*f[7, 65])/8 - (17*f[7, 66])/4 + 
       (9*f[7, 67])/8 - (19*f[7, 68])/2 - (19*f[7, 69])/2 + (19*f[7, 70])/8 - 
       (19*f[7, 71])/8 + (19*f[7, 72])/2 - (21*f[7, 73])/2 - 
       (19*f[7, 74])/2 + (25*f[7, 75])/12 + (195*f[7, 76])/16 - 
       (99*f[7, 77])/16 + (19*f[7, 78])/4 - (167*f[7, 79])/24 - 
       (5*f[7, 80])/6 - 25*f[7, 81] + (391*f[7, 82])/12 + (43*f[7, 83])/2 + 
       (113*f[7, 84])/24 - (493*f[7, 85])/48 - (325*f[7, 86])/12 - 
       (37*f[7, 87])/3 + (109*f[7, 88])/24 - (223*f[7, 89])/48 - 
       (145*f[7, 90])/48 + (116*f[7, 91])/3 - (35*f[7, 92])/2 - 
       (367*f[7, 93])/48 + (85*f[7, 94])/8 - (155*f[7, 95])/8 + 
       (25*f[7, 96])/4 + (79*f[7, 97])/12 + (79*f[7, 98])/12 - 
       (359*f[7, 99])/48 - (875*f[7, 100])/12 - (301*f[7, 101])/48 - 
       (1015*f[7, 102])/48 + (61*f[7, 103])/24 - (797*f[7, 104])/48 - 
       (7*f[7, 105])/3 + (581*f[7, 106])/12 - (415*f[7, 107])/12 + 
       (781*f[7, 108])/48 + (243*f[7, 109])/16 - (25*f[7, 110])/4 - 
       (229*f[7, 111])/48 + (185*f[7, 112])/16 + (361*f[7, 113])/48 + 
       (119*f[7, 114])/12 + (581*f[7, 115])/48 + f[7, 116]/12 - 
       (686*f[7, 117])/3 + (13*f[7, 118])/3 + (1525*f[7, 119])/48 + 
       (269*f[7, 120])/16 - (205*f[7, 121])/16 + (1475*f[7, 122])/48 + 
       (145*f[7, 123])/16 - (175*f[7, 124])/8 - (1109*f[7, 125])/48 + 
       (631*f[7, 126])/48 - (7*f[7, 136])/2 + (19*f[7, 137])/2 + 
       (63*f[7, 138])/8 - 7*f[7, 146] - (9*f[7, 147])/4 - (85*f[7, 148])/8 - 
       (203*f[7, 149])/8 - (131*f[7, 150])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - u] + (2*f[7, 23] - 2*f[7, 25] - 2*f[7, 29] - 
       2*f[7, 41] - 2*f[7, 42] + f[7, 48] - 2*f[7, 51] - 8*f[7, 52] - 
       2*f[7, 54] + 4*f[7, 55] - (11*f[7, 56])/8 + (101*f[7, 57])/16 + 
       56*f[7, 58] - (11*f[7, 59])/12 + (31*f[7, 60])/32 + (73*f[7, 61])/16 - 
       (535*f[7, 62])/24 - (535*f[7, 63])/24 + (535*f[7, 64])/24 - 
       (207*f[7, 65])/16 + (135*f[7, 66])/8 - (297*f[7, 67])/16 + 
       (151*f[7, 68])/4 + (151*f[7, 69])/4 - (151*f[7, 70])/16 + 
       (151*f[7, 71])/16 - (135*f[7, 72])/4 + (167*f[7, 73])/4 + 
       (151*f[7, 74])/4 - (1133*f[7, 75])/48 - (1423*f[7, 76])/32 + 
       (1095*f[7, 77])/32 - (151*f[7, 78])/8 + (1493*f[7, 79])/48 - 
       (463*f[7, 80])/48 + (691*f[7, 81])/4 - (2359*f[7, 82])/24 - 
       (285*f[7, 83])/4 - (959*f[7, 84])/48 + (2203*f[7, 85])/96 + 
       (3983*f[7, 86])/48 + (1547*f[7, 87])/48 - (883*f[7, 88])/48 + 
       (163*f[7, 89])/6 + (1309*f[7, 90])/96 - (7841*f[7, 91])/24 + 
       (135*f[7, 92])/2 + (1441*f[7, 93])/96 - (1771*f[7, 94])/16 + 
       (1165*f[7, 95])/16 - (837*f[7, 96])/16 + (523*f[7, 97])/48 + 
       (523*f[7, 98])/48 + (1069*f[7, 99])/48 + (9977*f[7, 100])/24 + 
       (2207*f[7, 101])/48 + (7145*f[7, 102])/48 - (791*f[7, 103])/24 + 
       (6301*f[7, 104])/48 - (973*f[7, 105])/48 - (2779*f[7, 106])/12 + 
       (677*f[7, 107])/3 - (2281*f[7, 108])/24 - (175*f[7, 109])/2 + 
       (427*f[7, 110])/32 - (163*f[7, 111])/12 - (105*f[7, 112])/4 - 
       (3653*f[7, 113])/48 - (2827*f[7, 114])/48 - (8759*f[7, 115])/96 + 
       (901*f[7, 116])/48 + (28865*f[7, 117])/24 - (5299*f[7, 118])/96 - 
       (17053*f[7, 119])/96 - (575*f[7, 120])/8 + 74*f[7, 121] - 
       (3743*f[7, 122])/24 - (291*f[7, 123])/8 + (891*f[7, 124])/8 + 
       (3503*f[7, 125])/24 - (2597*f[7, 126])/48 + 15*f[7, 136] - 
       (375*f[7, 137])/4 - (1437*f[7, 138])/16 + 2*f[7, 145] + 82*f[7, 146] + 
       (105*f[7, 147])/2 + (29*f[7, 148])/2 - (973*f[7, 149])/16 + 
       (3215*f[7, 150])/24)*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u] + 
     ((-7*f[7, 136])/2 + (19*f[7, 137])/2 + (63*f[7, 138])/8 + 7*f[7, 146] + 
       (9*f[7, 147])/4 + (85*f[7, 148])/8 + (203*f[7, 149])/8 + 
       (131*f[7, 150])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 1, 1}, 1 - v] + (-f[7, 45] - f[7, 46] - f[7, 47]/4 + 
       f[7, 48]/2 + f[7, 49]/4 + 2*f[7, 50] - f[7, 52]/2 + (3*f[7, 53])/2 - 
       f[7, 54]/4 + (9*f[7, 55])/2 - (5*f[7, 56])/8 + f[7, 57] + 5*f[7, 58] + 
       (15*f[7, 59])/8 + f[7, 60]/4 - f[7, 61]/4 - (19*f[7, 62])/8 - 
       (19*f[7, 63])/8 + (19*f[7, 64])/8 + (23*f[7, 65])/2 - 14*f[7, 66] - 
       (21*f[7, 67])/2 - (65*f[7, 68])/2 - 32*f[7, 69] + (33*f[7, 70])/4 - 
       (33*f[7, 71])/4 + 35*f[7, 72] - (129*f[7, 73])/4 - 33*f[7, 74] - 
       (197*f[7, 75])/32 + (773*f[7, 76])/16 - (55*f[7, 77])/2 + 
       16*f[7, 78] - (383*f[7, 79])/32 - (109*f[7, 80])/32 + 
       (161*f[7, 81])/4 + (937*f[7, 82])/8 + (215*f[7, 83])/4 + 
       (391*f[7, 84])/32 - (1507*f[7, 85])/32 - (3731*f[7, 86])/32 - 
       (1787*f[7, 87])/32 + (431*f[7, 88])/32 - (7*f[7, 89])/2 - 
       (11*f[7, 90])/32 - (31*f[7, 91])/2 - (1499*f[7, 92])/32 - 
       (1299*f[7, 93])/32 - (781*f[7, 94])/32 - (2331*f[7, 95])/32 + 
       (3*f[7, 96])/4 + (283*f[7, 97])/8 + (291*f[7, 98])/8 - 
       (999*f[7, 99])/32 - (757*f[7, 100])/4 - (281*f[7, 101])/16 - 
       (137*f[7, 102])/32 - (195*f[7, 103])/16 + (89*f[7, 104])/8 - 
       (539*f[7, 105])/32 + (781*f[7, 106])/8 - 100*f[7, 107] + 
       (321*f[7, 108])/16 + (19*f[7, 109])/16 - (343*f[7, 110])/32 - 
       43*f[7, 111] + (911*f[7, 112])/16 + (93*f[7, 113])/32 + 
       (263*f[7, 114])/32 - (447*f[7, 115])/32 + (755*f[7, 116])/32 - 
       (1147*f[7, 117])/2 - (595*f[7, 118])/32 + (281*f[7, 119])/4 + 
       (163*f[7, 120])/4 - (349*f[7, 121])/16 + (1085*f[7, 122])/16 + 
       (425*f[7, 123])/16 - (383*f[7, 124])/8 - (111*f[7, 125])/4 + 
       (1477*f[7, 126])/32 + f[7, 135]/4 + (25*f[7, 136])/4 + 
       (43*f[7, 137])/2 + (169*f[7, 138])/8 + f[7, 145] - 2*f[7, 146] + 
       (33*f[7, 147])/8 - (715*f[7, 148])/16 - (951*f[7, 149])/8 - 
       (2491*f[7, 150])/48)*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     (f[7, 25] + f[7, 29] + f[7, 47]/2 - 6*f[7, 50] + f[7, 51] + 3*f[7, 52] - 
       6*f[7, 53] + f[7, 54] - 8*f[7, 55] - 2*f[7, 56] - (3*f[7, 57])/2 - 
       26*f[7, 58] + (25*f[7, 59])/6 - (5*f[7, 60])/4 - (11*f[7, 61])/2 + 
       (20*f[7, 62])/3 + (20*f[7, 63])/3 - (20*f[7, 64])/3 - 
       (39*f[7, 65])/2 + 25*f[7, 66] + 26*f[7, 67] + 55*f[7, 68] + 
       54*f[7, 69] - (27*f[7, 70])/2 + (27*f[7, 71])/2 - 63*f[7, 72] + 
       58*f[7, 73] + 61*f[7, 74] + (151*f[7, 75])/6 - (357*f[7, 76])/4 + 
       (235*f[7, 77])/4 - 27*f[7, 78] + (353*f[7, 79])/24 + 
       (299*f[7, 80])/24 - (311*f[7, 81])/2 - (613*f[7, 82])/3 - 
       (203*f[7, 83])/2 - (437*f[7, 84])/24 + (527*f[7, 85])/6 + 
       (2593*f[7, 86])/12 + (623*f[7, 87])/6 - (433*f[7, 88])/24 + 
       f[7, 89]/3 - (73*f[7, 90])/24 + (373*f[7, 91])/3 + (271*f[7, 92])/4 + 
       (961*f[7, 93])/12 + (577*f[7, 94])/8 + (1011*f[7, 95])/8 + 
       (23*f[7, 96])/4 - (199*f[7, 97])/3 - (199*f[7, 98])/3 + 
       (367*f[7, 99])/6 + (983*f[7, 100])/3 + (215*f[7, 101])/6 - 
       (157*f[7, 102])/6 + (179*f[7, 103])/6 - (166*f[7, 104])/3 + 
       (857*f[7, 105])/24 - (793*f[7, 106])/6 + (604*f[7, 107])/3 - 
       (265*f[7, 108])/12 + (43*f[7, 109])/4 + (15*f[7, 110])/2 + 
       (1111*f[7, 111])/12 - (817*f[7, 112])/8 + (433*f[7, 113])/24 - 
       (247*f[7, 114])/24 + (1301*f[7, 115])/24 - (1079*f[7, 116])/24 + 
       (2876*f[7, 117])/3 + (1177*f[7, 118])/24 - (1357*f[7, 119])/12 - 
       (133*f[7, 120])/2 + (39*f[7, 121])/2 - (947*f[7, 122])/12 - 
       (77*f[7, 123])/2 + 58*f[7, 124] + (49*f[7, 125])/6 - 
       (1595*f[7, 126])/24 + 15*f[7, 136] - (375*f[7, 137])/4 - 
       (1437*f[7, 138])/16 - 2*f[7, 145] - 82*f[7, 146] - (105*f[7, 147])/2 - 
       (29*f[7, 148])/2 + (973*f[7, 149])/16 - (3215*f[7, 150])/24)*
      HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((-3*f[7, 10])/2 + (3*f[7, 21])/2 + (3*f[7, 45])/2 + (3*f[7, 46])/2 - 
       (3*f[7, 48])/4 - (3*f[7, 49])/8 - (3*f[7, 50])/2 - (3*f[7, 53])/4 + 
       (3*f[7, 54])/8 - (33*f[7, 55])/8 + (33*f[7, 56])/32 + 
       (3*f[7, 57])/64 - (3*f[7, 58])/2 - (7*f[7, 59])/2 + (9*f[7, 60])/128 + 
       (39*f[7, 61])/64 + (7*f[7, 62])/4 + (7*f[7, 63])/4 - (7*f[7, 64])/4 - 
       (729*f[7, 65])/64 + (465*f[7, 66])/32 + (561*f[7, 67])/64 + 
       (489*f[7, 68])/16 + (489*f[7, 69])/16 - (489*f[7, 70])/64 + 
       (489*f[7, 71])/64 - (525*f[7, 72])/16 + (495*f[7, 73])/16 + 
       (501*f[7, 74])/16 + (443*f[7, 75])/128 - (5909*f[7, 76])/128 + 
       (3809*f[7, 77])/128 - (489*f[7, 78])/32 + (1741*f[7, 79])/128 + 
       (561*f[7, 80])/128 - (633*f[7, 81])/32 - (899*f[7, 82])/8 - 
       (881*f[7, 83])/16 - (1681*f[7, 84])/128 + (2803*f[7, 85])/64 + 
       (14161*f[7, 86])/128 + (6665*f[7, 87])/128 - (1817*f[7, 88])/128 + 
       (107*f[7, 89])/32 + (129*f[7, 90])/32 + (403*f[7, 91])/32 + 
       (6091*f[7, 92])/128 + (603*f[7, 93])/16 + (2643*f[7, 94])/128 + 
       (9129*f[7, 95])/128 - (247*f[7, 96])/64 - (2057*f[7, 97])/64 - 
       (2153*f[7, 98])/64 + (3809*f[7, 99])/128 + (6225*f[7, 100])/32 + 
       (1307*f[7, 101])/64 + (1183*f[7, 102])/128 + (177*f[7, 103])/16 - 
       (43*f[7, 104])/8 + (2137*f[7, 105])/128 - (1729*f[7, 106])/16 + 
       (427*f[7, 107])/4 - (1451*f[7, 108])/64 - (381*f[7, 109])/64 + 
       (351*f[7, 110])/32 + (1267*f[7, 111])/32 - (3549*f[7, 112])/64 - 
       (339*f[7, 113])/128 - (1241*f[7, 114])/128 + (225*f[7, 115])/32 - 
       (2913*f[7, 116])/128 + (19021*f[7, 117])/32 + (1135*f[7, 118])/64 - 
       (9467*f[7, 119])/128 - (2837*f[7, 120])/64 + (1593*f[7, 121])/64 - 
       (4789*f[7, 122])/64 - (1779*f[7, 123])/64 + (831*f[7, 124])/16 + 
       (1109*f[7, 125])/32 - (6231*f[7, 126])/128 - (3*f[7, 135])/4 - 
       (9*f[7, 136])/4 - (531*f[7, 137])/8 - (3923*f[7, 138])/64 + 
       (3*f[7, 147])/4 - (33*f[7, 148])/8 - (79*f[7, 149])/8 - 
       (27*f[7, 150])/4)*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-3*f[7, 21] + (3*f[7, 55])/4 + (9*f[7, 65])/2 - 3*f[7, 66] - 
       (3*f[7, 67])/2 - 6*f[7, 68] - 6*f[7, 69] + (3*f[7, 70])/4 - 
       (3*f[7, 71])/4 + 6*f[7, 72] - 6*f[7, 73] - 6*f[7, 74] - 
       (39*f[7, 75])/64 + (33*f[7, 76])/4 - 6*f[7, 77] + 3*f[7, 78] - 
       (225*f[7, 79])/64 - (129*f[7, 80])/64 + (15*f[7, 81])/16 + 
       (435*f[7, 82])/16 + 15*f[7, 83] + (225*f[7, 84])/64 - 
       (621*f[7, 85])/64 - (1497*f[7, 86])/64 - (705*f[7, 87])/64 + 
       (225*f[7, 88])/64 - (3*f[7, 89])/2 - (129*f[7, 90])/64 + 
       (21*f[7, 91])/4 - (777*f[7, 92])/64 - (585*f[7, 93])/64 - 
       (111*f[7, 94])/64 - (1041*f[7, 95])/64 + (9*f[7, 96])/4 + 
       (9*f[7, 97])/2 + (9*f[7, 98])/2 - (489*f[7, 99])/64 - 42*f[7, 100] - 
       (9*f[7, 101])/2 - (363*f[7, 102])/64 - (3*f[7, 103])/2 - 
       (57*f[7, 104])/32 - (225*f[7, 105])/64 + (225*f[7, 106])/8 - 
       (117*f[7, 107])/4 + (225*f[7, 108])/32 + (177*f[7, 109])/32 - 
       (201*f[7, 110])/64 - 9*f[7, 111] + (393*f[7, 112])/32 - 
       (33*f[7, 113])/64 + (225*f[7, 114])/64 + (99*f[7, 115])/64 + 
       (225*f[7, 116])/64 - (561*f[7, 117])/4 - (111*f[7, 118])/64 + 
       (585*f[7, 119])/32 + (345*f[7, 120])/32 - (225*f[7, 121])/32 + 
       (627*f[7, 122])/32 + (225*f[7, 123])/32 - (225*f[7, 124])/16 - 
       (177*f[7, 125])/16 + (675*f[7, 126])/64 + 6*f[7, 137] + 
       (153*f[7, 138])/32 - (9*f[7, 147])/8 - 9*f[7, 148] - 12*f[7, 149] - 
       (159*f[7, 150])/16)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - u] + (-2*f[7, 11] + 2*f[7, 14] - (7*f[7, 22])/4 + 
       9*f[7, 24] - (3*f[7, 25])/2 + (4*f[7, 26])/5 - (4*f[7, 27])/5 - 
       (2*f[7, 28])/5 - (3*f[7, 29])/2 - f[7, 30] + (44*f[7, 31])/5 - 
       (14*f[7, 32])/5 - (132*f[7, 33])/5 + (3*f[7, 34])/4 + 
       (14*f[7, 35])/5 + (17*f[7, 36])/5 + f[7, 37]/5 + (16*f[7, 38])/5 + 
       (2*f[7, 39])/5 + (36*f[7, 40])/5 + (3*f[7, 41])/10 + 
       (23*f[7, 42])/10 + (9*f[7, 43])/5 + (3*f[7, 44])/5 - 
       (69*f[7, 45])/10 - (69*f[7, 46])/10 + (16*f[7, 47])/5 + 
       (163*f[7, 48])/40 - (33*f[7, 49])/40 + (3*f[7, 50])/2 - 
       (91*f[7, 51])/40 - f[7, 52]/4 - (69*f[7, 53])/20 - (23*f[7, 54])/8 - 
       (147*f[7, 55])/4 + (2079*f[7, 56])/160 - (1171*f[7, 57])/64 + 
       (13*f[7, 58])/10 - (5699*f[7, 59])/240 - (2973*f[7, 60])/640 + 
       (1033*f[7, 61])/64 + (19363*f[7, 62])/960 + (19363*f[7, 63])/960 - 
       (19363*f[7, 64])/960 + (50061*f[7, 65])/320 - (28037*f[7, 66])/160 - 
       (26077*f[7, 67])/320 - (25001*f[7, 68])/80 - (25837*f[7, 69])/80 + 
       (25349*f[7, 70])/320 - (5233*f[7, 71])/64 + (24973*f[7, 72])/80 - 
       (27027*f[7, 73])/80 - (25557*f[7, 74])/80 - (10841*f[7, 75])/240 + 
       (60213*f[7, 76])/128 - (223013*f[7, 77])/640 + (5365*f[7, 78])/32 - 
       (68663*f[7, 79])/480 - (6137*f[7, 80])/120 + (521*f[7, 81])/2 + 
       (522539*f[7, 82])/480 + (9931*f[7, 83])/16 + (32881*f[7, 84])/240 - 
       (831179*f[7, 85])/1920 - (527033*f[7, 86])/480 - 
       (242513*f[7, 87])/480 + (761*f[7, 88])/6 - (77629*f[7, 89])/960 - 
       (93461*f[7, 90])/1920 - (1879*f[7, 91])/96 - (146587*f[7, 92])/320 - 
       (696581*f[7, 93])/1920 - (16467*f[7, 94])/160 - (58001*f[7, 95])/80 + 
       (41501*f[7, 96])/320 + (52541*f[7, 97])/192 + (271249*f[7, 98])/960 - 
       (60781*f[7, 99])/192 - (237863*f[7, 100])/96 - (34421*f[7, 101])/120 - 
       (164881*f[7, 102])/960 - (24329*f[7, 103])/480 - (1235*f[7, 104])/96 - 
       (56693*f[7, 105])/480 + (69461*f[7, 106])/60 - 
       (347629*f[7, 107])/240 + (61871*f[7, 108])/192 + 
       (61979*f[7, 109])/320 - (68673*f[7, 110])/640 - 
       (372907*f[7, 111])/960 + (164653*f[7, 112])/320 + 
       (37939*f[7, 113])/960 + (86443*f[7, 114])/480 + 
       (33547*f[7, 115])/1920 + (12199*f[7, 116])/96 - 
       (3465973*f[7, 117])/480 - (156859*f[7, 118])/1920 + 
       (1864247*f[7, 119])/1920 + (31243*f[7, 120])/64 - 
       (85581*f[7, 121])/320 + (689801*f[7, 122])/960 + 
       (94023*f[7, 123])/320 - (44041*f[7, 124])/80 - 
       (364781*f[7, 125])/960 + (384403*f[7, 126])/960 - 4*f[7, 136] - 
       (121*f[7, 137])/2 - (889*f[7, 138])/16 + 12*f[7, 140] + 
       (112*f[7, 144])/5 - 26*f[7, 145] + (81*f[7, 146])/5 + 
       (3161*f[7, 147])/40 - (3429*f[7, 148])/5 - (292209*f[7, 149])/160 - 
       (11939*f[7, 150])/15)*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u] + 
     (6*f[7, 137] + (153*f[7, 138])/32 + (9*f[7, 147])/8 + 9*f[7, 148] + 
       12*f[7, 149] + (159*f[7, 150])/16)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1}, 1 - v] + ((3*f[7, 10])/2 + (3*f[7, 45])/2 + 
       (3*f[7, 46])/2 - (3*f[7, 48])/4 - (3*f[7, 49])/8 - (15*f[7, 50])/8 - 
       (9*f[7, 53])/8 + (3*f[7, 54])/8 - (33*f[7, 55])/8 + (33*f[7, 56])/32 + 
       (3*f[7, 57])/64 - (3*f[7, 58])/2 - (7*f[7, 59])/2 + (9*f[7, 60])/128 + 
       (39*f[7, 61])/64 + (7*f[7, 62])/4 + (7*f[7, 63])/4 - (7*f[7, 64])/4 - 
       (825*f[7, 65])/64 + (525*f[7, 66])/32 + (621*f[7, 67])/64 + 
       (573*f[7, 68])/16 + (573*f[7, 69])/16 - (597*f[7, 70])/64 + 
       (597*f[7, 71])/64 - (303*f[7, 72])/8 + 36*f[7, 73] + 
       (291*f[7, 74])/8 + (443*f[7, 75])/128 - (6819*f[7, 76])/128 + 
       (3945*f[7, 77])/128 - (573*f[7, 78])/32 + (2029*f[7, 79])/128 + 
       (577*f[7, 80])/128 - (705*f[7, 81])/32 - (2129*f[7, 82])/16 - 
       (1137*f[7, 83])/16 - (1969*f[7, 84])/128 + (3305*f[7, 85])/64 + 
       (16297*f[7, 86])/128 + (7705*f[7, 87])/128 - (2105*f[7, 88])/128 + 
       (151*f[7, 89])/32 + (133*f[7, 90])/32 + (295*f[7, 91])/32 + 
       (7005*f[7, 92])/128 + (737*f[7, 93])/16 + (2685*f[7, 94])/128 + 
       (10497*f[7, 95])/128 - (243*f[7, 96])/64 - (2483*f[7, 97])/64 - 
       (2579*f[7, 98])/64 + (4385*f[7, 99])/128 + (6983*f[7, 100])/32 + 
       (655*f[7, 101])/32 + (1651*f[7, 102])/128 + (773*f[7, 103])/64 - 
       (221*f[7, 104])/64 + (2425*f[7, 105])/128 - (2017*f[7, 106])/16 + 
       (235*f[7, 107])/2 - (1739*f[7, 108])/64 - (513*f[7, 109])/64 + 
       (465*f[7, 110])/32 + (1453*f[7, 111])/32 - (4101*f[7, 112])/64 - 
       (595*f[7, 113])/128 - (1529*f[7, 114])/128 + (205*f[7, 115])/32 - 
       (3241*f[7, 116])/128 + (21689*f[7, 117])/32 + (289*f[7, 118])/16 - 
       (10705*f[7, 119])/128 - (3225*f[7, 120])/64 + (1881*f[7, 121])/64 - 
       (5593*f[7, 122])/64 - (2067*f[7, 123])/64 + (975*f[7, 124])/16 + 
       (1313*f[7, 125])/32 - (7135*f[7, 126])/128 - (3*f[7, 135])/4 - 
       (9*f[7, 136])/4 - (531*f[7, 137])/8 - (3923*f[7, 138])/64 - 
       (3*f[7, 147])/4 + (33*f[7, 148])/8 + (79*f[7, 149])/8 + 
       (27*f[7, 150])/4)*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     (2*f[7, 11] - 2*f[7, 14] + 2*f[7, 21] - f[7, 22]/4 - 9*f[7, 24] + 
       (3*f[7, 25])/2 - (4*f[7, 26])/5 + (4*f[7, 27])/5 + (2*f[7, 28])/5 + 
       (3*f[7, 29])/2 + f[7, 30]/4 - (44*f[7, 31])/5 + (14*f[7, 32])/5 + 
       (132*f[7, 33])/5 - (3*f[7, 34])/4 - (14*f[7, 35])/5 - 
       (17*f[7, 36])/5 - f[7, 37]/5 - (16*f[7, 38])/5 - (2*f[7, 39])/5 - 
       (36*f[7, 40])/5 - (3*f[7, 41])/10 - (23*f[7, 42])/10 - 
       (9*f[7, 43])/5 - (3*f[7, 44])/5 + (69*f[7, 45])/10 + 
       (69*f[7, 46])/10 - (16*f[7, 47])/5 - (163*f[7, 48])/40 + 
       (33*f[7, 49])/40 + 3*f[7, 50] + (91*f[7, 51])/40 + f[7, 52]/4 + 
       (159*f[7, 53])/20 + (23*f[7, 54])/8 + (123*f[7, 55])/4 - 
       (1839*f[7, 56])/160 + (1187*f[7, 57])/64 - (93*f[7, 58])/10 + 
       (4979*f[7, 59])/240 + (3213*f[7, 60])/640 - (825*f[7, 61])/64 - 
       (13123*f[7, 62])/960 - (13123*f[7, 63])/960 + (13123*f[7, 64])/960 - 
       (51661*f[7, 65])/320 + (32557*f[7, 66])/160 + (30917*f[7, 67])/320 + 
       (30201*f[7, 68])/80 + (30677*f[7, 69])/80 - (31469*f[7, 70])/320 + 
       (6521*f[7, 71])/64 - (29713*f[7, 72])/80 + (31767*f[7, 73])/80 + 
       (30297*f[7, 74])/80 + (11141*f[7, 75])/240 - (71069*f[7, 76])/128 + 
       (247813*f[7, 77])/640 - (6333*f[7, 78])/32 + (83303*f[7, 79])/480 + 
       (7517*f[7, 80])/120 - 309*f[7, 81] - (647939*f[7, 82])/480 - 
       (12771*f[7, 83])/16 - (40561*f[7, 84])/240 + (1022219*f[7, 85])/1920 + 
       (636893*f[7, 86])/480 + (297653*f[7, 87])/480 - (959*f[7, 88])/6 + 
       (82189*f[7, 89])/960 + (114821*f[7, 90])/1920 + (4999*f[7, 91])/96 + 
       (180087*f[7, 92])/320 + (891701*f[7, 93])/1920 + 
       (22277*f[7, 94])/160 + (69831*f[7, 95])/80 - (39301*f[7, 96])/320 - 
       (68309*f[7, 97])/192 - (350089*f[7, 98])/960 + (72925*f[7, 99])/192 + 
       (267887*f[7, 100])/96 + (73387*f[7, 101])/240 + 
       (181201*f[7, 102])/960 + (36179*f[7, 103])/480 + (1085*f[7, 104])/96 + 
       (77333*f[7, 105])/480 - (83921*f[7, 106])/60 + 
       (377389*f[7, 107])/240 - (71279*f[7, 108])/192 - 
       (64979*f[7, 109])/320 + (98433*f[7, 110])/640 + 
       (446947*f[7, 111])/960 - (204773*f[7, 112])/320 - 
       (37939*f[7, 113])/960 - (96523*f[7, 114])/480 - 
       (24187*f[7, 115])/1920 - (17923*f[7, 116])/96 + 
       (3993013*f[7, 117])/480 + (209539*f[7, 118])/1920 - 
       (2118287*f[7, 119])/1920 - (36915*f[7, 120])/64 + 
       (103981*f[7, 121])/320 - (862961*f[7, 122])/960 - 
       (114503*f[7, 123])/320 + (53761*f[7, 124])/80 + 
       (444461*f[7, 125])/960 - (497323*f[7, 126])/960 - 4*f[7, 136] - 
       (121*f[7, 137])/2 - (889*f[7, 138])/16 - 12*f[7, 140] - 
       (112*f[7, 144])/5 + 26*f[7, 145] - (81*f[7, 146])/5 - 
       (3161*f[7, 147])/40 + (3429*f[7, 148])/5 + (292209*f[7, 149])/160 + 
       (11939*f[7, 150])/15)*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v] - 
     4*f[7, 78]*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u] - 
     2*f[7, 78]*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u] + 
     (24*f[7, 24] + (9*f[7, 78])/2 + 3*f[7, 149])*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1, 1, 1}, 1 - u] + (-24*f[7, 24] + (3*f[7, 78])/2 - 
       3*f[7, 149])*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     (-f[7, 6] + 8*f[7, 24] + (3*f[7, 78])/2 + f[7, 149])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - u] + (f[7, 6] - 8*f[7, 24] + f[7, 78]/2 - 
       f[7, 149])*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v] + 
     (-8*f[7, 13] + 11*f[7, 78] - 20*f[7, 149])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1, 1, 1}, 1 - u] + (8*f[7, 13] - 17*f[7, 78] + 20*f[7, 149])*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v] + 
     (f[7, 1] - f[7, 62] - f[7, 63] + 5*f[7, 64] - 7*f[7, 75] + f[7, 76] + 
       4*f[7, 81] - 3*f[7, 84] - 3*f[7, 88] - f[7, 89] - f[7, 90] - 
       8*f[7, 91] - 2*f[7, 94] + 8*f[7, 95] - f[7, 96] - 2*f[7, 97] - 
       2*f[7, 98] - f[7, 99] - 8*f[7, 100] - f[7, 101] + 4*f[7, 102] + 
       2*f[7, 103] + 4*f[7, 104] - 16*f[7, 106] - 4*f[7, 107] + f[7, 110] + 
       f[7, 111] - 7*f[7, 112] - 3*f[7, 113] - f[7, 114] - 2*f[7, 115] - 
       5*f[7, 116] + 4*f[7, 119] + f[7, 120] + 5*f[7, 121] - 19*f[7, 122] - 
       7*f[7, 123] + 11*f[7, 124] + 10*f[7, 125] - 11*f[7, 126] + f[7, 138] + 
       32*f[7, 150])*HPL[{0, 0, 0, 0, 0, 1}, 1 - u] + 
     (-f[7, 1] + f[7, 62] + f[7, 63] - f[7, 64] + 7*f[7, 75] + f[7, 77] - 
       12*f[7, 81] + 3*f[7, 84] + f[7, 85] + f[7, 86] + f[7, 87] + 
       3*f[7, 88] + 3*f[7, 89] + f[7, 90] + 4*f[7, 91] + f[7, 94] - 
       7*f[7, 95] + 2*f[7, 96] + 6*f[7, 97] + 6*f[7, 98] + f[7, 99] + 
       12*f[7, 100] + 4*f[7, 101] - 2*f[7, 102] - 3*f[7, 103] - 3*f[7, 104] + 
       16*f[7, 106] + 4*f[7, 107] + f[7, 109] - f[7, 110] - f[7, 111] + 
       9*f[7, 112] + 3*f[7, 113] + f[7, 114] + 3*f[7, 115] + 9*f[7, 116] + 
       8*f[7, 117] - f[7, 118] - 5*f[7, 119] - f[7, 120] - 5*f[7, 121] + 
       21*f[7, 122] + 7*f[7, 123] - 11*f[7, 124] - 7*f[7, 125] + 
       15*f[7, 126] + f[7, 138] - 32*f[7, 150])*HPL[{0, 0, 0, 0, 0, 1}, 
       1 - v] + (8*f[7, 15] - 4*f[7, 23] - 4*f[7, 49] - 4*f[7, 52] - 
       4*f[7, 54] + 8*f[7, 55] + 12*f[7, 57] + (56*f[7, 59])/3 + 
       10*f[7, 60] - 12*f[7, 61] - (19*f[7, 62])/3 - (16*f[7, 63])/3 + 
       (16*f[7, 64])/3 - 44*f[7, 65] + 36*f[7, 66] + 14*f[7, 67] + 
       56*f[7, 68] + 56*f[7, 69] - 14*f[7, 70] + 14*f[7, 71] - 52*f[7, 72] + 
       56*f[7, 73] + 56*f[7, 74] + (23*f[7, 75])/3 - 65*f[7, 76] + 
       45*f[7, 77] - 28*f[7, 78] + (82*f[7, 79])/3 + (79*f[7, 80])/3 + 
       32*f[7, 81] - (592*f[7, 82])/3 - 244*f[7, 83] - (97*f[7, 84])/3 + 
       (232*f[7, 85])/3 + (457*f[7, 86])/3 + (199*f[7, 87])/3 - 
       (41*f[7, 88])/3 + (64*f[7, 89])/3 + (85*f[7, 90])/3 + 
       (304*f[7, 91])/3 + 57*f[7, 92] + (247*f[7, 93])/3 + 19*f[7, 94] + 
       112*f[7, 95] - 29*f[7, 96] - (244*f[7, 97])/3 - (244*f[7, 98])/3 + 
       (161*f[7, 99])/3 + (1064*f[7, 100])/3 + (94*f[7, 101])/3 + 
       (124*f[7, 102])/3 + (28*f[7, 103])/3 + (47*f[7, 104])/3 + 
       (109*f[7, 105])/3 - (608*f[7, 106])/3 + (592*f[7, 107])/3 - 
       (157*f[7, 108])/3 - 75*f[7, 109] + 22*f[7, 110] + (196*f[7, 111])/3 - 
       82*f[7, 112] + (89*f[7, 113])/3 - (125*f[7, 114])/3 - 
       (74*f[7, 115])/3 - (13*f[7, 116])/3 + (3452*f[7, 117])/3 + 
       (50*f[7, 118])/3 - (460*f[7, 119])/3 - 89*f[7, 120] + 50*f[7, 121] - 
       (350*f[7, 122])/3 - 46*f[7, 123] + 96*f[7, 124] + (173*f[7, 125])/3 - 
       (151*f[7, 126])/3 - 64*f[7, 137] - 51*f[7, 138] - 24*f[7, 147] - 
       8*f[7, 148] + 104*f[7, 149] + (104*f[7, 150])/3)*
      HPL[{0, 0, 0, 0, 1, 1}, 1 - u] + (-8*f[7, 15] + 4*f[7, 23] + 
       4*f[7, 49] - 8*f[7, 50] + 4*f[7, 52] - 8*f[7, 53] + 4*f[7, 54] - 
       8*f[7, 55] - 12*f[7, 57] - (56*f[7, 59])/3 + 2*f[7, 60] + 
       12*f[7, 61] + (19*f[7, 62])/3 + (16*f[7, 63])/3 - (19*f[7, 64])/3 + 
       20*f[7, 65] + 2*f[7, 67] + 8*f[7, 68] + 8*f[7, 69] - 2*f[7, 70] + 
       2*f[7, 71] - 8*f[7, 72] + 12*f[7, 73] + 12*f[7, 74] - 
       (23*f[7, 75])/3 - 22*f[7, 76] + 5*f[7, 77] - 4*f[7, 78] + 
       (14*f[7, 79])/3 - (13*f[7, 80])/3 - 8*f[7, 81] - (140*f[7, 82])/3 + 
       56*f[7, 83] + f[7, 84]/3 + (50*f[7, 85])/3 + (164*f[7, 86])/3 + 
       (98*f[7, 87])/3 - (55*f[7, 88])/3 - (22*f[7, 89])/3 - 
       (19*f[7, 90])/3 - (136*f[7, 91])/3 + 37*f[7, 92] + (29*f[7, 93])/3 + 
       9*f[7, 94] + 32*f[7, 95] + 9*f[7, 96] - (32*f[7, 97])/3 - 
       (32*f[7, 98])/3 + (31*f[7, 99])/3 + (52*f[7, 100])/3 - 
       (19*f[7, 101])/3 - (34*f[7, 102])/3 + (44*f[7, 103])/3 - 
       (35*f[7, 104])/3 - (13*f[7, 105])/3 - (160*f[7, 106])/3 - 
       (16*f[7, 107])/3 - (35*f[7, 108])/3 + 26*f[7, 109] + 7*f[7, 110] + 
       (38*f[7, 111])/3 - 30*f[7, 112] - (53*f[7, 113])/3 + 
       (29*f[7, 114])/3 + (26*f[7, 115])/3 - (92*f[7, 116])/3 + 
       (316*f[7, 117])/3 + (34*f[7, 118])/3 - (2*f[7, 119])/3 - 
       11*f[7, 120] + 14*f[7, 121] - (181*f[7, 122])/3 - 18*f[7, 123] + 
       32*f[7, 124] + (112*f[7, 125])/3 - (146*f[7, 126])/3 - 64*f[7, 137] - 
       51*f[7, 138] + 24*f[7, 147] + 8*f[7, 148] - 104*f[7, 149] - 
       (104*f[7, 150])/3)*HPL[{0, 0, 0, 0, 1, 1}, 1 - v] + 
     (2*f[7, 3] + 4*f[7, 15] - 2*f[7, 23] - 2*f[7, 49] - 2*f[7, 52] - 
       2*f[7, 54] + 4*f[7, 55] - 2*f[7, 56] + 2*f[7, 57] + (20*f[7, 59])/3 + 
       f[7, 60] - 2*f[7, 61] - (4*f[7, 62])/3 - (4*f[7, 63])/3 + 
       (4*f[7, 64])/3 + 2*f[7, 65] - 6*f[7, 66] - 5*f[7, 67] - 20*f[7, 68] - 
       20*f[7, 69] + 5*f[7, 70] - 5*f[7, 71] + 22*f[7, 72] - 20*f[7, 73] - 
       20*f[7, 74] + (2*f[7, 75])/3 + (67*f[7, 76])/2 - (47*f[7, 77])/2 + 
       10*f[7, 78] - (26*f[7, 79])/3 + (17*f[7, 80])/6 + 26*f[7, 81] + 
       (230*f[7, 82])/3 - 8*f[7, 83] + (20*f[7, 84])/3 - (175*f[7, 85])/6 - 
       (493*f[7, 86])/6 - (119*f[7, 87])/3 + (40*f[7, 88])/3 - f[7, 89]/6 + 
       (11*f[7, 90])/6 + (94*f[7, 91])/3 - 42*f[7, 92] - (65*f[7, 93])/3 - 
       8*f[7, 94] - (105*f[7, 95])/2 + 3*f[7, 96] + (47*f[7, 97])/3 + 
       (47*f[7, 98])/3 - (58*f[7, 99])/3 - (424*f[7, 100])/3 - 
       (103*f[7, 101])/6 - (19*f[7, 102])/6 - (29*f[7, 103])/3 + 
       (17*f[7, 104])/3 - (14*f[7, 105])/3 + (220*f[7, 106])/3 - 
       (242*f[7, 107])/3 + (50*f[7, 108])/3 - (15*f[7, 109])/2 - 
       (13*f[7, 110])/2 - (163*f[7, 111])/6 + (81*f[7, 112])/2 + 
       (47*f[7, 113])/3 + (10*f[7, 114])/3 - (37*f[7, 115])/6 + 
       (65*f[7, 116])/3 - (1300*f[7, 117])/3 - (31*f[7, 118])/3 + 
       (158*f[7, 119])/3 + 28*f[7, 120] - 18*f[7, 121] + (359*f[7, 122])/6 + 
       20*f[7, 123] - 38*f[7, 124] - (94*f[7, 125])/3 + (125*f[7, 126])/3 - 
       16*f[7, 137] - (31*f[7, 138])/2 - 80*f[7, 148] - 160*f[7, 149] - 
       (244*f[7, 150])/3)*HPL[{0, 0, 0, 1, 0, 1}, 1 - u] + 
     (-2*f[7, 3] - 4*f[7, 15] + 2*f[7, 23] + 2*f[7, 49] - 4*f[7, 50] + 
       2*f[7, 52] - 4*f[7, 53] + 2*f[7, 54] - 4*f[7, 55] + 2*f[7, 56] - 
       2*f[7, 57] - (20*f[7, 59])/3 + f[7, 60] + 2*f[7, 61] + 
       (4*f[7, 62])/3 + (4*f[7, 63])/3 - (4*f[7, 64])/3 - 6*f[7, 65] + 
       16*f[7, 66] + 9*f[7, 67] + 36*f[7, 68] + 36*f[7, 69] - 9*f[7, 70] + 
       9*f[7, 71] - 36*f[7, 72] + 38*f[7, 73] + 38*f[7, 74] - 
       (2*f[7, 75])/3 - 57*f[7, 76] + 34*f[7, 77] - 18*f[7, 78] + 
       (50*f[7, 79])/3 + (2*f[7, 80])/3 - 30*f[7, 81] - (410*f[7, 82])/3 - 
       42*f[7, 83] - (44*f[7, 84])/3 + (158*f[7, 85])/3 + (823*f[7, 86])/6 + 
       (409*f[7, 87])/6 - (64*f[7, 88])/3 + (11*f[7, 89])/3 + 
       (5*f[7, 90])/3 - (82*f[7, 91])/3 + 64*f[7, 92] + (271*f[7, 93])/6 + 
       (23*f[7, 94])/2 + (179*f[7, 95])/2 - (13*f[7, 96])/2 - 
       (101*f[7, 97])/3 - (101*f[7, 98])/3 + (106*f[7, 99])/3 + 
       (712*f[7, 100])/3 + (145*f[7, 101])/6 + (44*f[7, 102])/3 + 
       (79*f[7, 103])/6 - (7*f[7, 104])/6 + (38*f[7, 105])/3 - 
       (412*f[7, 106])/3 + (380*f[7, 107])/3 - (98*f[7, 108])/3 - 
       (3*f[7, 109])/2 + 14*f[7, 110] + (271*f[7, 111])/6 - 
       (139*f[7, 112])/2 - (50*f[7, 113])/3 - (34*f[7, 114])/3 + 
       (8*f[7, 115])/3 - (187*f[7, 116])/6 + (2260*f[7, 117])/3 + 
       (83*f[7, 118])/6 - (565*f[7, 119])/6 - 52*f[7, 120] + 34*f[7, 121] - 
       (629*f[7, 122])/6 - 36*f[7, 123] + 70*f[7, 124] + (166*f[7, 125])/3 - 
       (403*f[7, 126])/6 - 16*f[7, 137] - (31*f[7, 138])/2 + 80*f[7, 148] + 
       160*f[7, 149] + (244*f[7, 150])/3)*HPL[{0, 0, 0, 1, 0, 1}, 1 - v] + 
     (6*f[7, 7] - 3*f[7, 9] + 24*f[7, 18] + 48*f[7, 24] + 24*f[7, 25] + 
       15*f[7, 29] + 18*f[7, 34] - 12*f[7, 35] + 18*f[7, 39] + 12*f[7, 40] - 
       12*f[7, 41] + 6*f[7, 43] + 24*f[7, 44] + 36*f[7, 45] + 36*f[7, 46] - 
       (93*f[7, 47])/2 + (93*f[7, 48])/2 + (3*f[7, 49])/2 + 108*f[7, 50] + 
       (75*f[7, 51])/2 + 135*f[7, 52] + 114*f[7, 53] + 54*f[7, 54] + 
       234*f[7, 55] + (381*f[7, 56])/4 + (231*f[7, 57])/8 - 438*f[7, 58] - 
       (183*f[7, 59])/2 + (1077*f[7, 60])/16 + (1179*f[7, 61])/8 + 
       (813*f[7, 62])/4 + (813*f[7, 63])/4 - (813*f[7, 64])/4 + 
       (12739*f[7, 65])/8 - (6443*f[7, 66])/4 - (5267*f[7, 67])/8 - 
       (7403*f[7, 68])/2 - (7283*f[7, 69])/2 + (7223*f[7, 70])/8 - 
       (7223*f[7, 71])/8 + 3766*f[7, 72] - 3643*f[7, 73] - 
       (7331*f[7, 74])/2 - (3439*f[7, 75])/8 + (85083*f[7, 76])/16 - 
       (50339*f[7, 77])/16 + (7139*f[7, 78])/4 - (14135*f[7, 79])/8 - 
       (743*f[7, 80])/2 + (1289*f[7, 81])/2 + (51917*f[7, 82])/4 + 
       (15613*f[7, 83])/2 + (11945*f[7, 84])/8 - (77917*f[7, 85])/16 - 
       (100815*f[7, 86])/8 - (47381*f[7, 87])/8 + (11813*f[7, 88])/8 - 
       (3743*f[7, 89])/4 - (4147*f[7, 90])/16 + (15555*f[7, 91])/4 - 
       (44401*f[7, 92])/8 - (71721*f[7, 93])/16 - (609*f[7, 94])/8 - 
       (64713*f[7, 95])/8 + (7913*f[7, 96])/8 + (25887*f[7, 97])/8 + 
       (25599*f[7, 98])/8 - (27833*f[7, 99])/8 - (99517*f[7, 100])/4 - 
       2426*f[7, 101] - (26973*f[7, 102])/8 - (4297*f[7, 103])/8 - 
       (3149*f[7, 104])/2 - (11549*f[7, 105])/8 + (26989*f[7, 106])/2 - 
       13335*f[7, 107] + (15263*f[7, 108])/4 + 2347*f[7, 109] - 
       (21117*f[7, 110])/16 - 4052*f[7, 111] + (22661*f[7, 112])/4 + 
       (2515*f[7, 113])/2 + (17585*f[7, 114])/8 + (7375*f[7, 115])/16 + 
       (12247*f[7, 116])/8 - (305583*f[7, 117])/4 - (10143*f[7, 118])/16 + 
       (158941*f[7, 119])/16 + (20803*f[7, 120])/4 - 3125*f[7, 121] + 
       (34417*f[7, 122])/4 + (11837*f[7, 123])/4 - (24457*f[7, 124])/4 - 
       (19007*f[7, 125])/4 + (38009*f[7, 126])/8 + 134*f[7, 137] + 
       206*f[7, 138] - 24*f[7, 139] + 48*f[7, 144] + 240*f[7, 145] - 
       948*f[7, 146] + 21*f[7, 147] - 7953*f[7, 148] - (74163*f[7, 149])/4 - 
       (17035*f[7, 150])/2)*HPL[{0, 0, 0, 1, 1, 1}, 1 - u] + 
     (-6*f[7, 7] + 3*f[7, 9] - 24*f[7, 18] + 12*f[7, 22] - 48*f[7, 24] - 
       24*f[7, 25] - 15*f[7, 29] - 6*f[7, 30] - 18*f[7, 34] + 12*f[7, 35] - 
       18*f[7, 39] - 12*f[7, 40] + 12*f[7, 41] - 6*f[7, 43] - 24*f[7, 44] - 
       36*f[7, 45] - 36*f[7, 46] + (93*f[7, 47])/2 - (93*f[7, 48])/2 - 
       (3*f[7, 49])/2 - 96*f[7, 50] - (75*f[7, 51])/2 - 135*f[7, 52] - 
       102*f[7, 53] - 54*f[7, 54] - 198*f[7, 55] - (381*f[7, 56])/4 - 
       (231*f[7, 57])/8 + 438*f[7, 58] + (183*f[7, 59])/2 - 
       (1077*f[7, 60])/16 - (1179*f[7, 61])/8 - (813*f[7, 62])/4 - 
       (813*f[7, 63])/4 + (813*f[7, 64])/4 - (12683*f[7, 65])/8 + 
       (6223*f[7, 66])/4 + (5071*f[7, 67])/8 + (7045*f[7, 68])/2 + 
       (6919*f[7, 69])/2 - (6787*f[7, 70])/8 + (6859*f[7, 71])/8 - 
       3575*f[7, 72] + 3446*f[7, 73] + (6937*f[7, 74])/2 + 
       (3439*f[7, 75])/8 - (80419*f[7, 76])/16 + (48567*f[7, 77])/16 - 
       (6751*f[7, 78])/4 + (13503*f[7, 79])/8 + (753*f[7, 80])/2 - 
       (1009*f[7, 81])/2 - (49785*f[7, 82])/4 - (14671*f[7, 83])/2 - 
       (11313*f[7, 84])/8 + (74445*f[7, 85])/16 + (95495*f[7, 86])/8 + 
       (44601*f[7, 87])/8 - (11181*f[7, 88])/8 + (3737*f[7, 89])/4 + 
       (4227*f[7, 90])/16 - (16203*f[7, 91])/4 + (42643*f[7, 92])/8 + 
       (67389*f[7, 93])/16 + (161*f[7, 94])/8 + (61409*f[7, 95])/8 - 
       (7949*f[7, 96])/8 - (24211*f[7, 97])/8 - (23923*f[7, 98])/8 + 
       (26569*f[7, 99])/8 + (95769*f[7, 100])/4 + (9421*f[7, 101])/4 + 
       (26513*f[7, 102])/8 + (3901*f[7, 103])/8 + (3103*f[7, 104])/2 + 
       (10917*f[7, 105])/8 - (25725*f[7, 106])/2 + 12903*f[7, 107] - 
       (14631*f[7, 108])/4 - 2380*f[7, 109] + (19885*f[7, 110])/16 + 
       3909*f[7, 111] - (21361*f[7, 112])/4 - (2337*f[7, 113])/2 - 
       (16953*f[7, 114])/8 - (7551*f[7, 115])/16 - (10743*f[7, 116])/8 + 
       (293031*f[7, 117])/4 + (9247*f[7, 118])/16 - (152505*f[7, 119])/16 - 
       (19829*f[7, 120])/4 + 2967*f[7, 121] - (32461*f[7, 122])/4 - 
       (11205*f[7, 123])/4 + (23193*f[7, 124])/4 + (18035*f[7, 125])/4 - 
       (35241*f[7, 126])/8 + 134*f[7, 137] + 206*f[7, 138] + 24*f[7, 139] - 
       48*f[7, 144] - 240*f[7, 145] + 948*f[7, 146] - 21*f[7, 147] + 
       7953*f[7, 148] + (74163*f[7, 149])/4 + (17035*f[7, 150])/2)*
      HPL[{0, 0, 0, 1, 1, 1}, 1 - v] + (f[7, 2] + 3*f[7, 7] - f[7, 9] + 
       16*f[7, 18] + 24*f[7, 24] + 12*f[7, 25] + 8*f[7, 29] + 9*f[7, 34] - 
       6*f[7, 35] + 10*f[7, 39] + 6*f[7, 40] - 6*f[7, 41] + 2*f[7, 43] + 
       12*f[7, 44] + 18*f[7, 45] + 18*f[7, 46] - (43*f[7, 47])/2 + 
       24*f[7, 48] + 54*f[7, 50] + 16*f[7, 51] + 67*f[7, 52] + 57*f[7, 53] + 
       (53*f[7, 54])/2 + 115*f[7, 55] + (381*f[7, 56])/8 + 
       (199*f[7, 57])/16 - 219*f[7, 58] - (559*f[7, 59])/12 + 
       (1173*f[7, 60])/32 + (1211*f[7, 61])/16 + (2455*f[7, 62])/24 + 
       (2455*f[7, 63])/24 - (2455*f[7, 64])/24 + (12371*f[7, 65])/16 - 
       (6295*f[7, 66])/8 - (5119*f[7, 67])/16 - (7247*f[7, 68])/4 - 
       (7127*f[7, 69])/4 + (7039*f[7, 70])/16 - (7039*f[7, 71])/16 + 
       (7365*f[7, 72])/4 - (7129*f[7, 73])/4 - (7171*f[7, 74])/4 - 
       (10105*f[7, 75])/48 + (83399*f[7, 76])/32 - (49179*f[7, 77])/32 + 
       (6983*f[7, 78])/8 - (41639*f[7, 79])/48 - (8555*f[7, 80])/48 + 
       (1229*f[7, 81])/4 + (152347*f[7, 82])/24 + (15325*f[7, 83])/4 + 
       (35069*f[7, 84])/48 - (228475*f[7, 85])/96 - (296021*f[7, 86])/48 - 
       (139265*f[7, 87])/48 + (34609*f[7, 88])/48 - (5513*f[7, 89])/12 - 
       (11533*f[7, 90])/96 + (46901*f[7, 91])/24 - (5431*f[7, 92])/2 - 
       (210553*f[7, 93])/96 - (385*f[7, 94])/16 - (63223*f[7, 95])/16 + 
       (7681*f[7, 96])/16 + (75629*f[7, 97])/48 + (74765*f[7, 98])/48 - 
       (81691*f[7, 99])/48 - (292817*f[7, 100])/24 - (57077*f[7, 101])/48 - 
       (79967*f[7, 102])/48 - (755*f[7, 103])/3 - (37951*f[7, 104])/48 - 
       (33869*f[7, 105])/48 + (79369*f[7, 106])/12 - (19619*f[7, 107])/3 + 
       (45001*f[7, 108])/24 + (2311*f[7, 109])/2 - (20571*f[7, 110])/32 - 
       (23675*f[7, 111])/12 + 2766*f[7, 112] + (30059*f[7, 113])/48 + 
       (52009*f[7, 114])/48 + (22559*f[7, 115])/96 + (35741*f[7, 116])/48 - 
       (898301*f[7, 117])/24 - (28745*f[7, 118])/96 + (467533*f[7, 119])/96 + 
       (20389*f[7, 120])/8 - (6117*f[7, 121])/4 + (101051*f[7, 122])/24 + 
       (11571*f[7, 123])/8 - (23925*f[7, 124])/8 - (55877*f[7, 125])/24 + 
       (111431*f[7, 126])/48 + 74*f[7, 137] + (911*f[7, 138])/8 - 
       12*f[7, 139] + 24*f[7, 144] + 120*f[7, 145] - 474*f[7, 146] + 
       (7*f[7, 147])/2 - (15539*f[7, 148])/4 - (72415*f[7, 149])/8 - 
       (24941*f[7, 150])/6)*HPL[{0, 0, 1, 0, 1, 1}, 1 - u] + 
     (-f[7, 2] - 3*f[7, 7] + f[7, 9] - 16*f[7, 18] + 6*f[7, 22] - 
       24*f[7, 24] - 12*f[7, 25] - 8*f[7, 29] - 3*f[7, 30] - 9*f[7, 34] + 
       6*f[7, 35] - 10*f[7, 39] - 6*f[7, 40] + 6*f[7, 41] - 2*f[7, 43] - 
       12*f[7, 44] - 18*f[7, 45] - 18*f[7, 46] + (43*f[7, 47])/2 - 
       24*f[7, 48] - 46*f[7, 50] - 16*f[7, 51] - 67*f[7, 52] - 49*f[7, 53] - 
       (53*f[7, 54])/2 - 99*f[7, 55] - (381*f[7, 56])/8 - (199*f[7, 57])/16 + 
       219*f[7, 58] + (559*f[7, 59])/12 - (1109*f[7, 60])/32 - 
       (1211*f[7, 61])/16 - (2455*f[7, 62])/24 - (2455*f[7, 63])/24 + 
       (2455*f[7, 64])/24 - (12355*f[7, 65])/16 + (6031*f[7, 66])/8 + 
       (4887*f[7, 67])/16 + (6861*f[7, 68])/4 + (6735*f[7, 69])/4 - 
       (6583*f[7, 70])/16 + (6631*f[7, 71])/16 - (6963*f[7, 72])/4 + 
       (6711*f[7, 73])/4 + (6753*f[7, 74])/4 + (10105*f[7, 75])/48 - 
       (78283*f[7, 76])/32 + (47091*f[7, 77])/32 - (6567*f[7, 78])/8 + 
       (39575*f[7, 79])/48 + (8855*f[7, 80])/48 - (833*f[7, 81])/4 - 
       (145375*f[7, 82])/24 - (14365*f[7, 83])/4 - (33005*f[7, 84])/48 + 
       (217171*f[7, 85])/96 + (278669*f[7, 86])/48 + (130157*f[7, 87])/48 - 
       (32545*f[7, 88])/48 + (2743*f[7, 89])/6 + (12133*f[7, 90])/96 - 
       (48005*f[7, 91])/24 + (20761*f[7, 92])/8 + (196849*f[7, 93])/96 - 
       f[7, 94]/16 + (59647*f[7, 95])/16 - (7693*f[7, 96])/16 - 
       (70817*f[7, 97])/48 - (69953*f[7, 98])/48 + (77563*f[7, 99])/48 + 
       (279677*f[7, 100])/24 + (54839*f[7, 101])/48 + (78095*f[7, 102])/48 + 
       (5533*f[7, 103])/24 + (37045*f[7, 104])/48 + (31805*f[7, 105])/48 - 
       (75241*f[7, 106])/12 + (18812*f[7, 107])/3 - (42937*f[7, 108])/24 - 
       1173*f[7, 109] + (19347*f[7, 110])/32 + (22733*f[7, 111])/12 - 
       2589*f[7, 112] - (27395*f[7, 113])/48 - (49945*f[7, 114])/48 - 
       (22919*f[7, 115])/96 - (31025*f[7, 116])/48 + (855509*f[7, 117])/24 + 
       (26429*f[7, 118])/96 - (445225*f[7, 119])/96 - (19333*f[7, 120])/8 + 
       (5773*f[7, 121])/4 - (94679*f[7, 122])/24 - (10883*f[7, 123])/8 + 
       (22549*f[7, 124])/8 + (52721*f[7, 125])/24 - (102587*f[7, 126])/48 + 
       74*f[7, 137] + (911*f[7, 138])/8 + 12*f[7, 139] - 24*f[7, 144] - 
       120*f[7, 145] + 474*f[7, 146] - (7*f[7, 147])/2 + 
       (15539*f[7, 148])/4 + (72415*f[7, 149])/8 + (24941*f[7, 150])/6)*
      HPL[{0, 0, 1, 0, 1, 1}, 1 - v] + (f[7, 7] + 8*f[7, 18] + 8*f[7, 24] + 
       4*f[7, 25] + 3*f[7, 29] + 3*f[7, 34] - 2*f[7, 35] + 4*f[7, 39] + 
       2*f[7, 40] - 2*f[7, 41] + 4*f[7, 44] + 6*f[7, 45] + 6*f[7, 46] - 
       7*f[7, 47] + (17*f[7, 48])/2 - f[7, 49]/2 + 18*f[7, 50] + 
       (11*f[7, 51])/2 + 22*f[7, 52] + 19*f[7, 53] + (17*f[7, 54])/2 + 
       37*f[7, 55] + (127*f[7, 56])/8 + (45*f[7, 57])/16 - 73*f[7, 58] - 
       (193*f[7, 59])/12 + (391*f[7, 60])/32 + (425*f[7, 61])/16 + 
       (829*f[7, 62])/24 + (829*f[7, 63])/24 - (829*f[7, 64])/24 + 
       (4017*f[7, 65])/16 - (2037*f[7, 66])/8 - (1645*f[7, 67])/16 - 
       (2349*f[7, 68])/4 - (2309*f[7, 69])/4 + (2261*f[7, 70])/16 - 
       (2261*f[7, 71])/16 + (2381*f[7, 72])/4 - (2309*f[7, 73])/4 - 
       (2321*f[7, 74])/4 - (3235*f[7, 75])/48 + (27037*f[7, 76])/32 - 
       (15953*f[7, 77])/32 + (2261*f[7, 78])/8 - (13589*f[7, 79])/48 - 
       (2855*f[7, 80])/48 + (335*f[7, 81])/4 + (49201*f[7, 82])/24 + 
       (5015*f[7, 83])/4 + (11399*f[7, 84])/48 - (73777*f[7, 85])/96 - 
       (95615*f[7, 86])/48 - (44999*f[7, 87])/48 + (11203*f[7, 88])/48 - 
       (452*f[7, 89])/3 - (3799*f[7, 90])/96 + (15287*f[7, 91])/24 - 
       (7011*f[7, 92])/8 - (67951*f[7, 93])/96 - (79*f[7, 94])/16 - 
       (20405*f[7, 95])/16 + (2511*f[7, 96])/16 + (24527*f[7, 97])/48 + 
       (24239*f[7, 98])/48 - (26473*f[7, 99])/48 - (95207*f[7, 100])/24 - 
       (18581*f[7, 101])/48 - (26249*f[7, 102])/48 - (1867*f[7, 103])/24 - 
       (12643*f[7, 104])/48 - (10991*f[7, 105])/48 + (25831*f[7, 106])/12 - 
       (6392*f[7, 107])/3 + (14695*f[7, 108])/24 + 384*f[7, 109] - 
       (6549*f[7, 110])/32 - (7625*f[7, 111])/12 + (1785*f[7, 112])/2 + 
       (9635*f[7, 113])/48 + (17059*f[7, 114])/48 + (8057*f[7, 115])/96 + 
       (11363*f[7, 116])/48 - (291887*f[7, 117])/24 - (9059*f[7, 118])/96 + 
       (152131*f[7, 119])/96 + (6645*f[7, 120])/8 - (1987*f[7, 121])/4 + 
       (32777*f[7, 122])/24 + (3753*f[7, 123])/8 - (7767*f[7, 124])/8 - 
       (18179*f[7, 125])/24 + (35969*f[7, 126])/48 + 38*f[7, 137] + 
       (393*f[7, 138])/8 - 4*f[7, 139] + 8*f[7, 144] + 40*f[7, 145] - 
       158*f[7, 146] + f[7, 147]/2 - (4945*f[7, 148])/4 - 
       (23173*f[7, 149])/8 - (7991*f[7, 150])/6)*HPL[{0, 0, 1, 1, 0, 1}, 
       1 - u] + (-f[7, 7] - 8*f[7, 18] + 2*f[7, 22] - 8*f[7, 24] - 
       4*f[7, 25] - 3*f[7, 29] - f[7, 30] - 3*f[7, 34] + 2*f[7, 35] - 
       4*f[7, 39] - 2*f[7, 40] + 2*f[7, 41] - 4*f[7, 44] - 6*f[7, 45] - 
       6*f[7, 46] + 7*f[7, 47] - (17*f[7, 48])/2 + f[7, 49]/2 - 14*f[7, 50] - 
       (11*f[7, 51])/2 - 22*f[7, 52] - 15*f[7, 53] - (17*f[7, 54])/2 - 
       33*f[7, 55] - (127*f[7, 56])/8 - (45*f[7, 57])/16 + 73*f[7, 58] + 
       (193*f[7, 59])/12 - (327*f[7, 60])/32 - (425*f[7, 61])/16 - 
       (829*f[7, 62])/24 - (829*f[7, 63])/24 + (829*f[7, 64])/24 - 
       (3905*f[7, 65])/16 + (1885*f[7, 66])/8 + (1493*f[7, 67])/16 + 
       (2167*f[7, 68])/4 + (2125*f[7, 69])/4 - (2077*f[7, 70])/16 + 
       (2093*f[7, 71])/16 - (2199*f[7, 72])/4 + (2119*f[7, 73])/4 + 
       (2131*f[7, 74])/4 + (3235*f[7, 75])/48 - (24697*f[7, 76])/32 + 
       (14777*f[7, 77])/32 - (2069*f[7, 78])/8 + (12581*f[7, 79])/48 + 
       (2819*f[7, 80])/48 - (171*f[7, 81])/4 - (45829*f[7, 82])/24 - 
       (4583*f[7, 83])/4 - (10391*f[7, 84])/48 + (68329*f[7, 85])/96 + 
       (87719*f[7, 86])/48 + (40931*f[7, 87])/48 - (10195*f[7, 88])/48 + 
       (1757*f[7, 89])/12 + (3727*f[7, 90])/96 - (15647*f[7, 91])/24 + 
       (3275*f[7, 92])/4 + (61975*f[7, 93])/96 - (111*f[7, 94])/16 + 
       (18733*f[7, 95])/16 - (2427*f[7, 96])/16 - (22379*f[7, 97])/48 - 
       (22091*f[7, 98])/48 + (24457*f[7, 99])/48 + (88283*f[7, 100])/24 + 
       (17219*f[7, 101])/48 + (25169*f[7, 102])/48 + (827*f[7, 103])/12 + 
       (12205*f[7, 104])/48 + (9983*f[7, 105])/48 - (23815*f[7, 106])/12 + 
       (5927*f[7, 107])/3 - (13687*f[7, 108])/24 - (761*f[7, 109])/2 + 
       (6093*f[7, 110])/32 + (7115*f[7, 111])/12 - (1619*f[7, 112])/2 - 
       (8699*f[7, 113])/48 - (16051*f[7, 114])/48 - (7841*f[7, 115])/96 - 
       (9479*f[7, 116])/48 + (269975*f[7, 117])/24 + (7919*f[7, 118])/96 - 
       (140599*f[7, 119])/96 - (6117*f[7, 120])/8 + (1819*f[7, 121])/4 - 
       (29765*f[7, 122])/24 - (3417*f[7, 123])/8 + (7095*f[7, 124])/8 + 
       (16655*f[7, 125])/24 - (32069*f[7, 126])/48 + 38*f[7, 137] + 
       (393*f[7, 138])/8 + 4*f[7, 139] - 8*f[7, 144] - 40*f[7, 145] + 
       158*f[7, 146] - f[7, 147]/2 + (4945*f[7, 148])/4 + 
       (23173*f[7, 149])/8 + (7991*f[7, 150])/6)*HPL[{0, 0, 1, 1, 0, 1}, 
       1 - v] + (-12*f[7, 6] + 8*f[7, 11] - 16*f[7, 14] + 7*f[7, 22] - 
       36*f[7, 24] + 6*f[7, 25] - (16*f[7, 26])/5 + (16*f[7, 27])/5 + 
       (8*f[7, 28])/5 + 6*f[7, 29] + 4*f[7, 30] - (176*f[7, 31])/5 + 
       (96*f[7, 32])/5 + (528*f[7, 33])/5 - 3*f[7, 34] - (56*f[7, 35])/5 - 
       (68*f[7, 36])/5 - (4*f[7, 37])/5 - (64*f[7, 38])/5 - (68*f[7, 39])/5 - 
       (144*f[7, 40])/5 - (76*f[7, 41])/5 - (96*f[7, 42])/5 + 
       (24*f[7, 43])/5 - (12*f[7, 44])/5 + (138*f[7, 45])/5 + 
       (138*f[7, 46])/5 - (99*f[7, 47])/5 - (143*f[7, 48])/10 + 
       (13*f[7, 49])/10 - 4*f[7, 50] + (161*f[7, 51])/10 + 15*f[7, 52] + 
       (129*f[7, 53])/5 + (51*f[7, 54])/2 + 133*f[7, 55] - 
       (1819*f[7, 56])/40 + (1567*f[7, 57])/16 + (754*f[7, 58])/5 + 
       (5119*f[7, 59])/60 + (1873*f[7, 60])/160 - (813*f[7, 61])/16 - 
       (36203*f[7, 62])/240 - (36203*f[7, 63])/240 + (36203*f[7, 64])/240 - 
       (50721*f[7, 65])/80 + (28137*f[7, 66])/40 + (20177*f[7, 67])/80 + 
       (25101*f[7, 68])/20 + (25937*f[7, 69])/20 - (25129*f[7, 70])/80 + 
       (5141*f[7, 71])/16 - (24993*f[7, 72])/20 + (27107*f[7, 73])/20 + 
       (25677*f[7, 74])/20 + (3203*f[7, 75])/30 - (58857*f[7, 76])/32 + 
       (224873*f[7, 77])/160 - (5385*f[7, 78])/8 + (71293*f[7, 79])/120 + 
       (8459*f[7, 80])/60 - 503*f[7, 81] - (502639*f[7, 82])/120 - 
       (9023*f[7, 83])/4 - (16723*f[7, 84])/30 + (784399*f[7, 85])/480 + 
       (507523*f[7, 86])/120 + (230683*f[7, 87])/120 - (6077*f[7, 88])/12 + 
       (92909*f[7, 89])/240 + (98161*f[7, 90])/480 - (19765*f[7, 91])/24 + 
       (150787*f[7, 92])/80 + (624481*f[7, 93])/480 + (4197*f[7, 94])/40 + 
       (14294*f[7, 95])/5 - (50921*f[7, 96])/80 - (46201*f[7, 97])/48 - 
       (239549*f[7, 98])/240 + (59369*f[7, 99])/48 + (248539*f[7, 100])/24 + 
       (72377*f[7, 101])/60 + (244061*f[7, 102])/240 + (9709*f[7, 103])/120 + 
       (8857*f[7, 104])/24 + (40543*f[7, 105])/120 - (72466*f[7, 106])/15 + 
       (365189*f[7, 107])/60 - (69703*f[7, 108])/48 - (74459*f[7, 109])/80 + 
       (59573*f[7, 110])/160 + (325547*f[7, 111])/240 - 
       (155373*f[7, 112])/80 - (94199*f[7, 113])/240 - 
       (98933*f[7, 114])/120 - (157967*f[7, 115])/480 - (9377*f[7, 116])/24 + 
       (3605873*f[7, 117])/120 + (74759*f[7, 118])/480 - 
       (1984147*f[7, 119])/480 - (32163*f[7, 120])/16 + 
       (96461*f[7, 121])/80 - (736321*f[7, 122])/240 - (94543*f[7, 123])/80 + 
       (46891*f[7, 124])/20 + (440581*f[7, 125])/240 - 
       (385103*f[7, 126])/240 + 226*f[7, 137] + (1021*f[7, 138])/4 - 
       48*f[7, 140] - (448*f[7, 144])/5 + 104*f[7, 145] + 
       (1316*f[7, 146])/5 - (1041*f[7, 147])/10 + (14761*f[7, 148])/5 + 
       (289629*f[7, 149])/40 + (56146*f[7, 150])/15)*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - u] + (12*f[7, 6] - 8*f[7, 11] + 
       16*f[7, 14] - 8*f[7, 21] + f[7, 22] + 36*f[7, 24] - 6*f[7, 25] + 
       (16*f[7, 26])/5 - (16*f[7, 27])/5 - (8*f[7, 28])/5 - 6*f[7, 29] - 
       f[7, 30] + (176*f[7, 31])/5 - (96*f[7, 32])/5 - (528*f[7, 33])/5 + 
       3*f[7, 34] + (56*f[7, 35])/5 + (68*f[7, 36])/5 + (4*f[7, 37])/5 + 
       (64*f[7, 38])/5 + (68*f[7, 39])/5 + (144*f[7, 40])/5 + 
       (76*f[7, 41])/5 + (96*f[7, 42])/5 - (24*f[7, 43])/5 + 
       (12*f[7, 44])/5 - (138*f[7, 45])/5 - (138*f[7, 46])/5 + 
       (99*f[7, 47])/5 + (143*f[7, 48])/10 - (13*f[7, 49])/10 + 14*f[7, 50] - 
       (161*f[7, 51])/10 - 15*f[7, 52] - (79*f[7, 53])/5 - (51*f[7, 54])/2 - 
       113*f[7, 55] + (1819*f[7, 56])/40 - (1567*f[7, 57])/16 - 
       (754*f[7, 58])/5 - (5119*f[7, 59])/60 - (1873*f[7, 60])/160 + 
       (813*f[7, 61])/16 + (36203*f[7, 62])/240 + (36203*f[7, 63])/240 - 
       (36203*f[7, 64])/240 + (49041*f[7, 65])/80 - (32337*f[7, 66])/40 - 
       (23577*f[7, 67])/80 - (29981*f[7, 68])/20 - (30457*f[7, 69])/20 + 
       (30769*f[7, 70])/80 - (6365*f[7, 71])/16 + (29653*f[7, 72])/20 - 
       (32127*f[7, 73])/20 - (30697*f[7, 74])/20 - (3203*f[7, 75])/30 + 
       (70433*f[7, 76])/32 - (253753*f[7, 77])/160 + (6289*f[7, 78])/8 - 
       (84853*f[7, 79])/120 - (9059*f[7, 80])/60 + 757*f[7, 81] + 
       (614719*f[7, 82])/120 + (11411*f[7, 83])/4 + (20113*f[7, 84])/30 - 
       (953599*f[7, 85])/480 - (611863*f[7, 86])/120 - 
       (283183*f[7, 87])/120 + (7433*f[7, 88])/12 - (95549*f[7, 89])/240 - 
       (102961*f[7, 90])/480 + (23029*f[7, 91])/24 - (180367*f[7, 92])/80 - 
       (802561*f[7, 93])/480 - (6207*f[7, 94])/40 - (34083*f[7, 95])/10 + 
       (50961*f[7, 96])/80 + (56545*f[7, 97])/48 + (291269*f[7, 98])/240 - 
       (70217*f[7, 99])/48 - (282379*f[7, 100])/24 - (39751*f[7, 101])/30 - 
       (273341*f[7, 102])/240 - (16519*f[7, 103])/120 - 
       (10363*f[7, 104])/24 - (54103*f[7, 105])/120 + (86026*f[7, 106])/15 - 
       (407669*f[7, 107])/60 + (80551*f[7, 108])/48 + (77219*f[7, 109])/80 - 
       (79493*f[7, 110])/160 - (383987*f[7, 111])/240 + 
       (190773*f[7, 112])/80 + (116519*f[7, 113])/240 + 
       (112493*f[7, 114])/120 + (161327*f[7, 115])/480 + 
       (14261*f[7, 116])/24 - (4161233*f[7, 117])/120 - 
       (98879*f[7, 118])/480 + (2259067*f[7, 119])/480 + 
       (37483*f[7, 120])/16 - (114541*f[7, 121])/80 + 
       (896761*f[7, 122])/240 + (112623*f[7, 123])/80 - 
       (55931*f[7, 124])/20 - (521221*f[7, 125])/240 + 
       (488183*f[7, 126])/240 + 226*f[7, 137] + (1021*f[7, 138])/4 + 
       48*f[7, 140] + (448*f[7, 144])/5 - 104*f[7, 145] - 
       (1316*f[7, 146])/5 + (1041*f[7, 147])/10 - (14761*f[7, 148])/5 - 
       (289629*f[7, 149])/40 - (56146*f[7, 150])/15)*
      HPL[{0, 0, 1, 1, 1, 1}, 1 - v] + (-3*f[7, 6] + 2*f[7, 11] - 
       2*f[7, 14] + (7*f[7, 22])/4 - 9*f[7, 24] + (3*f[7, 25])/2 - 
       (4*f[7, 26])/5 + (4*f[7, 27])/5 + (2*f[7, 28])/5 + (3*f[7, 29])/2 + 
       f[7, 30] - (44*f[7, 31])/5 + (14*f[7, 32])/5 + (132*f[7, 33])/5 - 
       (3*f[7, 34])/4 - (14*f[7, 35])/5 - (17*f[7, 36])/5 - (16*f[7, 37])/5 - 
       (16*f[7, 38])/5 - (2*f[7, 39])/5 - (36*f[7, 40])/5 - (3*f[7, 41])/10 - 
       (23*f[7, 42])/10 - (9*f[7, 43])/5 - (3*f[7, 44])/5 + 
       (69*f[7, 45])/10 + (69*f[7, 46])/10 - (16*f[7, 47])/5 - 
       (163*f[7, 48])/40 + (33*f[7, 49])/40 + (3*f[7, 50])/2 + 
       (91*f[7, 51])/40 + f[7, 52]/4 + (129*f[7, 53])/20 + (23*f[7, 54])/8 + 
       (147*f[7, 55])/4 - (1819*f[7, 56])/160 + (1375*f[7, 57])/64 + 
       (367*f[7, 58])/10 + (1453*f[7, 59])/80 + (3793*f[7, 60])/640 - 
       (621*f[7, 61])/64 - (11481*f[7, 62])/320 - (11481*f[7, 63])/320 + 
       (11481*f[7, 64])/320 - (56321*f[7, 65])/320 + (30857*f[7, 66])/160 + 
       (22817*f[7, 67])/320 + (27821*f[7, 68])/80 + (28657*f[7, 69])/80 - 
       (28169*f[7, 70])/320 + (5797*f[7, 71])/64 - (27673*f[7, 72])/80 + 
       (29487*f[7, 73])/80 + (28017*f[7, 74])/80 + (951*f[7, 75])/40 - 
       (65033*f[7, 76])/128 + (251193*f[7, 77])/640 - (5929*f[7, 78])/32 + 
       (26031*f[7, 79])/160 + (3143*f[7, 80])/80 - (559*f[7, 81])/4 - 
       (186053*f[7, 82])/160 - (10567*f[7, 83])/16 - (6191*f[7, 84])/40 + 
       (290853*f[7, 85])/640 + (187961*f[7, 86])/160 + (85201*f[7, 87])/160 - 
       (2331*f[7, 88])/16 + (33343*f[7, 89])/320 + (36187*f[7, 90])/640 - 
       (6071*f[7, 91])/32 + (162627*f[7, 92])/320 + (238107*f[7, 93])/640 + 
       (5317*f[7, 94])/160 + (15979*f[7, 95])/20 - (56841*f[7, 96])/320 - 
       (17683*f[7, 97])/64 - (91263*f[7, 98])/320 + (21811*f[7, 99])/64 + 
       (91569*f[7, 100])/32 + (26719*f[7, 101])/80 + (90367*f[7, 102])/320 + 
       (5243*f[7, 103])/160 + (3119*f[7, 104])/32 + (15621*f[7, 105])/160 - 
       (6698*f[7, 106])/5 + (133823*f[7, 107])/80 - (25181*f[7, 108])/64 - 
       (80859*f[7, 109])/320 + (67173*f[7, 110])/640 + 
       (124009*f[7, 111])/320 - (175693*f[7, 112])/320 - 
       (33813*f[7, 113])/320 - (34791*f[7, 114])/160 - 
       (51029*f[7, 115])/640 - (3795*f[7, 116])/32 + (1327051*f[7, 117])/
        160 + (31213*f[7, 118])/640 - (723649*f[7, 119])/640 - 
       (34915*f[7, 120])/64 + (107581*f[7, 121])/320 - 
       (276667*f[7, 122])/320 - (105583*f[7, 123])/320 + 
       (52431*f[7, 124])/80 + (164087*f[7, 125])/320 - 
       (146101*f[7, 126])/320 + (105*f[7, 137])/2 + (945*f[7, 138])/16 - 
       12*f[7, 140] - (112*f[7, 144])/5 + 26*f[7, 145] + (339*f[7, 146])/5 - 
       (1481*f[7, 147])/40 + (15911*f[7, 148])/20 + (316829*f[7, 149])/160 + 
       (5198*f[7, 150])/5)*HPL[{0, 1, 0, 1, 1, 1}, 1 - u] + 
     (3*f[7, 6] - 2*f[7, 11] + 2*f[7, 14] - 2*f[7, 21] + f[7, 22]/4 + 
       9*f[7, 24] - (3*f[7, 25])/2 + (4*f[7, 26])/5 - (4*f[7, 27])/5 - 
       (2*f[7, 28])/5 - (3*f[7, 29])/2 - f[7, 30]/4 + (44*f[7, 31])/5 - 
       (14*f[7, 32])/5 - (132*f[7, 33])/5 + (3*f[7, 34])/4 + 
       (14*f[7, 35])/5 + (17*f[7, 36])/5 + (16*f[7, 37])/5 + 
       (16*f[7, 38])/5 + (2*f[7, 39])/5 + (36*f[7, 40])/5 + (3*f[7, 41])/10 + 
       (23*f[7, 42])/10 + (9*f[7, 43])/5 + (3*f[7, 44])/5 - 
       (69*f[7, 45])/10 - (69*f[7, 46])/10 + (16*f[7, 47])/5 + 
       (163*f[7, 48])/40 - (33*f[7, 49])/40 - (91*f[7, 51])/40 - f[7, 52]/4 - 
       (99*f[7, 53])/20 - (23*f[7, 54])/8 - (123*f[7, 55])/4 + 
       (1819*f[7, 56])/160 - (1375*f[7, 57])/64 - (367*f[7, 58])/10 - 
       (1453*f[7, 59])/80 - (3793*f[7, 60])/640 + (621*f[7, 61])/64 + 
       (11481*f[7, 62])/320 + (11481*f[7, 63])/320 - (11481*f[7, 64])/320 + 
       (54001*f[7, 65])/320 - (34737*f[7, 66])/160 - (25737*f[7, 67])/320 - 
       (32381*f[7, 68])/80 - (32857*f[7, 69])/80 + (33649*f[7, 70])/320 - 
       (6957*f[7, 71])/64 + (32013*f[7, 72])/80 - (34307*f[7, 73])/80 - 
       (32837*f[7, 74])/80 - (951*f[7, 75])/40 + (75617*f[7, 76])/128 - 
       (275913*f[7, 77])/640 + (6769*f[7, 78])/32 - (30231*f[7, 79])/160 - 
       (3443*f[7, 80])/80 + (781*f[7, 81])/4 + (221693*f[7, 82])/160 + 
       (12847*f[7, 83])/16 + (7241*f[7, 84])/40 - (344373*f[7, 85])/640 - 
       (220661*f[7, 86])/160 - (101661*f[7, 87])/160 + (2751*f[7, 88])/16 - 
       (33743*f[7, 89])/320 - (38587*f[7, 90])/640 + (6935*f[7, 91])/32 - 
       (191007*f[7, 92])/320 - (294267*f[7, 93])/640 - (7447*f[7, 94])/160 - 
       (37093*f[7, 95])/40 + (55521*f[7, 96])/320 + (21131*f[7, 97])/64 + 
       (108503*f[7, 98])/320 - (25171*f[7, 99])/64 - (101433*f[7, 100])/32 - 
       (14287*f[7, 101])/40 - (98447*f[7, 102])/320 - (7793*f[7, 103])/160 - 
       (3533*f[7, 104])/32 - (19821*f[7, 105])/160 + (7748*f[7, 106])/5 - 
       (145503*f[7, 107])/80 + (28541*f[7, 108])/64 + (82659*f[7, 109])/320 - 
       (88533*f[7, 110])/640 - (141889*f[7, 111])/320 + 
       (208853*f[7, 112])/320 + (39813*f[7, 113])/320 + 
       (38991*f[7, 114])/160 + (50069*f[7, 115])/640 + (5431*f[7, 116])/32 - 
       (1492891*f[7, 117])/160 - (39733*f[7, 118])/640 + 
       (804409*f[7, 119])/640 + (39787*f[7, 120])/64 - 
       (124381*f[7, 121])/320 + (326627*f[7, 122])/320 + 
       (122383*f[7, 123])/320 - (60831*f[7, 124])/80 - 
       (189047*f[7, 125])/320 + (179261*f[7, 126])/320 + (105*f[7, 137])/2 + 
       (945*f[7, 138])/16 + 12*f[7, 140] + (112*f[7, 144])/5 - 26*f[7, 145] - 
       (339*f[7, 146])/5 + (1481*f[7, 147])/40 - (15911*f[7, 148])/20 - 
       (316829*f[7, 149])/160 - (5198*f[7, 150])/5)*HPL[{0, 1, 0, 1, 1, 1}, 
       1 - v] + (10*f[7, 10] + 30*f[7, 13] + 20*f[7, 21] - 23*f[7, 26] - 
       7*f[7, 27] + 19*f[7, 28] + (15*f[7, 30])/2 - 83*f[7, 31] + 
       38*f[7, 32] + 9*f[7, 33] - 23*f[7, 35] - 19*f[7, 36] - 2*f[7, 37] - 
       132*f[7, 38] - 19*f[7, 39] - 42*f[7, 40] + (19*f[7, 41])/2 + 
       (19*f[7, 42])/2 + 57*f[7, 43] + 114*f[7, 44] + 44*f[7, 45] + 
       64*f[7, 46] + 3*f[7, 47] + (41*f[7, 48])/2 + (353*f[7, 49])/4 - 
       (985*f[7, 50])/8 + (53*f[7, 51])/2 + (135*f[7, 52])/2 - 
       (929*f[7, 53])/8 + (95*f[7, 54])/4 - (85*f[7, 55])/8 + 
       (3671*f[7, 56])/16 - (2755*f[7, 57])/32 - (2311*f[7, 58])/2 + 
       (811*f[7, 59])/6 + (9623*f[7, 60])/64 + (11545*f[7, 61])/32 + 
       (1511*f[7, 62])/3 + (1511*f[7, 63])/3 - (1511*f[7, 64])/3 + 
       (79679*f[7, 65])/32 - (19839*f[7, 66])/8 - (10059*f[7, 67])/16 - 
       (37659*f[7, 68])/8 - (18929*f[7, 69])/4 + (17213*f[7, 70])/16 - 
       (17365*f[7, 71])/16 + (75199*f[7, 72])/16 - (74851*f[7, 73])/16 - 
       (75411*f[7, 74])/16 + (75415*f[7, 75])/384 + (102435*f[7, 76])/16 - 
       (269087*f[7, 77])/64 + (17685*f[7, 78])/8 - (1015855*f[7, 79])/384 - 
       (204235*f[7, 80])/384 - (128673*f[7, 81])/32 + (1586521*f[7, 82])/96 + 
       (47997*f[7, 83])/4 + (866023*f[7, 84])/384 - (2295181*f[7, 85])/384 - 
       (5742115*f[7, 86])/384 - (2623855*f[7, 87])/384 + 
       (796439*f[7, 88])/384 - (138841*f[7, 89])/96 - (372397*f[7, 90])/384 + 
       (267175*f[7, 91])/48 - (916215*f[7, 92])/128 - 
       (2198425*f[7, 93])/384 + (129979*f[7, 94])/128 - 
       (1327777*f[7, 95])/128 + (16271*f[7, 96])/8 + (108925*f[7, 97])/24 + 
       (108541*f[7, 98])/24 - (1598159*f[7, 99])/384 - 
       (788255*f[7, 100])/24 - (637769*f[7, 101])/192 - 
       (2190805*f[7, 102])/384 - (134219*f[7, 103])/192 - 
       (328037*f[7, 104])/96 - (671095*f[7, 105])/384 + 
       (965911*f[7, 106])/48 - (54212*f[7, 107])/3 + (1057259*f[7, 108])/
        192 + (264855*f[7, 109])/64 - (245787*f[7, 110])/128 - 
       (461143*f[7, 111])/96 + (463767*f[7, 112])/64 + 
       (731065*f[7, 113])/384 + (1226615*f[7, 114])/384 + 
       (952703*f[7, 115])/384 + (621199*f[7, 116])/384 - 
       (5066095*f[7, 117])/48 - (161393*f[7, 118])/384 + 
       (2652797*f[7, 119])/192 + (472193*f[7, 120])/64 - 
       (307861*f[7, 121])/64 + (2455375*f[7, 122])/192 + 
       (266497*f[7, 123])/64 - (287379*f[7, 124])/32 - 
       (717713*f[7, 125])/96 + (2537845*f[7, 126])/384 - (105*f[7, 137])/2 - 
       (475*f[7, 138])/16 + 76*f[7, 144] + 10*f[7, 145] - 2357*f[7, 146] - 
       (4337*f[7, 147])/8 - (81841*f[7, 148])/8 - (397911*f[7, 149])/16 - 
       (733141*f[7, 150])/48)*HPL[{0, 1, 1, 1, 1, 1}, 1 - u] + 
     (-10*f[7, 10] - 30*f[7, 13] - 10*f[7, 21] + 23*f[7, 26] + 7*f[7, 27] - 
       19*f[7, 28] - (65*f[7, 30])/4 + 83*f[7, 31] - 38*f[7, 32] - 
       9*f[7, 33] + 23*f[7, 35] + 19*f[7, 36] + 2*f[7, 37] + 132*f[7, 38] + 
       19*f[7, 39] + 42*f[7, 40] - (19*f[7, 41])/2 - (19*f[7, 42])/2 - 
       57*f[7, 43] - 114*f[7, 44] - 44*f[7, 45] - 64*f[7, 46] - 3*f[7, 47] - 
       (41*f[7, 48])/2 - (353*f[7, 49])/4 + (989*f[7, 50])/8 - 
       (53*f[7, 51])/2 - (135*f[7, 52])/2 + (933*f[7, 53])/8 - 
       (95*f[7, 54])/4 + (5*f[7, 55])/8 - (3671*f[7, 56])/16 + 
       (2755*f[7, 57])/32 + (2311*f[7, 58])/2 - (811*f[7, 59])/6 - 
       (9623*f[7, 60])/64 - (11545*f[7, 61])/32 - (1511*f[7, 62])/3 - 
       (1511*f[7, 63])/3 + (1511*f[7, 64])/3 - (78999*f[7, 65])/32 + 
       (19889*f[7, 66])/8 + (10109*f[7, 67])/16 + (37959*f[7, 68])/8 + 
       (18979*f[7, 69])/4 - (17423*f[7, 70])/16 + (17575*f[7, 71])/16 - 
       (75739*f[7, 72])/16 + (75391*f[7, 73])/16 + (75951*f[7, 74])/16 - 
       (75415*f[7, 75])/384 - 6435*f[7, 76] + (269047*f[7, 77])/64 - 
       (17695*f[7, 78])/8 + (1022095*f[7, 79])/384 + (207115*f[7, 80])/384 + 
       (127633*f[7, 81])/32 - (1609681*f[7, 82])/96 - (48767*f[7, 83])/4 - 
       (872263*f[7, 84])/384 + (2326621*f[7, 85])/384 + 
       (5780275*f[7, 86])/384 + (2642335*f[7, 87])/384 - 
       (802679*f[7, 88])/384 + (138121*f[7, 89])/96 + (375277*f[7, 90])/384 - 
       (271015*f[7, 91])/48 + (923935*f[7, 92])/128 + 
       (2235865*f[7, 93])/384 - (130979*f[7, 94])/128 + 
       (1336657*f[7, 95])/128 - (4059*f[7, 96])/2 - (27241*f[7, 97])/6 - 
       (27145*f[7, 98])/6 + (1610639*f[7, 99])/384 + (789665*f[7, 100])/24 + 
       (636629*f[7, 101])/192 + (2204725*f[7, 102])/384 + 
       (135239*f[7, 103])/192 + (330347*f[7, 104])/96 + 
       (677335*f[7, 105])/384 - (972151*f[7, 106])/48 + (54047*f[7, 107])/3 - 
       (1063499*f[7, 108])/192 - (266815*f[7, 109])/64 + 
       (250667*f[7, 110])/128 + (465643*f[7, 111])/96 - 
       (467487*f[7, 112])/64 - (731545*f[7, 113])/384 - 
       (1232855*f[7, 114])/384 - (956063*f[7, 115])/384 - 
       (625759*f[7, 116])/384 + (5084215*f[7, 117])/48 + 
       (158393*f[7, 118])/384 - (2657177*f[7, 119])/192 - 
       (474473*f[7, 120])/64 + (309941*f[7, 121])/64 - 
       (2472295*f[7, 122])/192 - (268577*f[7, 123])/64 + 
       (289459*f[7, 124])/32 + (722273*f[7, 125])/96 - 
       (2554885*f[7, 126])/384 - (105*f[7, 137])/2 - (475*f[7, 138])/16 - 
       76*f[7, 144] - 10*f[7, 145] + 2357*f[7, 146] + (4337*f[7, 147])/8 + 
       (81841*f[7, 148])/8 + (397911*f[7, 149])/16 + (733141*f[7, 150])/48)*
      HPL[{0, 1, 1, 1, 1, 1}, 1 - v] + ((5*f[7, 12])/18 - (2*f[7, 16])/9 + 
       (2*f[7, 17])/9 + (19*f[7, 19])/48 + (47*f[7, 20])/72 + 
       (2*f[7, 128])/3 - (10*f[7, 130])/9 - (7*f[7, 131])/9 - 
       (11*f[7, 141])/24 - (5*f[7, 142])/9 + f[7, 143]/24)*HPL[{1}, 1 - u]^4*
      SPw2f1[u, v] + (-f[7, 19]/8 - f[7, 20]/4 + (11*f[7, 143])/4)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*SPw2f1[u, v] + 
     (f[7, 19]/48 + f[7, 20]/24 - (2*f[7, 128])/3 + (10*f[7, 130])/9 + 
       (7*f[7, 131])/9 - (11*f[7, 141])/24 - (5*f[7, 142])/9 + f[7, 143]/24)*
      HPL[{1}, 1 - v]^4*SPw2f1[u, v] + (-f[7, 132]/10 + f[7, 134]/10 - 
       (9*f[7, 135])/20 + (293*f[7, 136])/40 - (1153*f[7, 137])/80 - 
       (6523*f[7, 138])/320 + f[7, 144]/5 - (3*f[7, 145])/2 - 
       (243*f[7, 146])/20 - (127*f[7, 147])/40 - (4079*f[7, 148])/160 - 
       (14069*f[7, 149])/320 - (37309*f[7, 150])/480)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - u]*SPw2f1[u, v] + (-3*f[7, 136] - (233*f[7, 137])/8 - 
       (71*f[7, 138])/4 + 2*f[7, 145] + (5*f[7, 146])/2 + f[7, 147]/16 - 
       23*f[7, 148] - (311*f[7, 149])/4 - (13*f[7, 150])/96)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*SPw2f1[u, v] + 
     (-f[7, 26] - f[7, 27] + f[7, 30]/2 - f[7, 31] - f[7, 33] - f[7, 35] - 
       f[7, 40] - f[7, 47]/2 + f[7, 49]/2 + (9*f[7, 50])/8 - f[7, 51]/2 + 
       (3*f[7, 52])/2 - (7*f[7, 53])/8 - f[7, 54] + (57*f[7, 55])/8 + 
       (23*f[7, 56])/8 + (115*f[7, 57])/16 + (11*f[7, 58])/2 - 
       (13*f[7, 59])/3 + (161*f[7, 60])/32 + (191*f[7, 61])/16 - 
       (551*f[7, 62])/96 - (551*f[7, 63])/96 + (551*f[7, 64])/96 + 
       21*f[7, 65] - (229*f[7, 66])/16 - (397*f[7, 67])/32 - 
       (117*f[7, 68])/4 - (233*f[7, 69])/8 + (153*f[7, 70])/32 - 
       (153*f[7, 71])/32 + (495*f[7, 72])/16 - (419*f[7, 73])/16 - 
       (463*f[7, 74])/16 - (4667*f[7, 75])/384 + (2863*f[7, 76])/64 - 
       (47*f[7, 77])/4 + (229*f[7, 78])/16 - (8125*f[7, 79])/384 - 
       (5065*f[7, 80])/384 - (543*f[7, 81])/32 + (13093*f[7, 82])/96 + 
       (947*f[7, 83])/8 + (4717*f[7, 84])/384 - (19009*f[7, 85])/384 - 
       (44593*f[7, 86])/384 - (22837*f[7, 87])/384 + (4301*f[7, 88])/384 - 
       (191*f[7, 89])/48 - (229*f[7, 90])/384 - (157*f[7, 91])/6 - 
       (7025*f[7, 92])/128 - (22153*f[7, 93])/384 - (2399*f[7, 94])/128 - 
       (8027*f[7, 95])/128 - (481*f[7, 96])/32 + (4807*f[7, 97])/96 + 
       (4807*f[7, 98])/96 - (10361*f[7, 99])/384 - (3535*f[7, 100])/48 + 
       (253*f[7, 101])/192 - (5131*f[7, 102])/384 - (4037*f[7, 103])/192 - 
       (329*f[7, 104])/96 - (14821*f[7, 105])/384 + (5527*f[7, 106])/48 - 
       (235*f[7, 107])/24 + (3827*f[7, 108])/192 + (1143*f[7, 109])/64 - 
       (3047*f[7, 110])/128 - (2375*f[7, 111])/48 + (3335*f[7, 112])/64 - 
       (6161*f[7, 113])/384 + (6293*f[7, 114])/384 - (1225*f[7, 115])/384 + 
       (7933*f[7, 116])/384 - (2513*f[7, 117])/6 - (9581*f[7, 118])/384 + 
       (125*f[7, 119])/3 + (2905*f[7, 120])/64 - (445*f[7, 121])/64 + 
       (9427*f[7, 122])/192 + (1141*f[7, 123])/64 - (785*f[7, 124])/32 + 
       (41*f[7, 125])/48 + (13915*f[7, 126])/384 + 3*f[7, 136] + 
       (233*f[7, 137])/8 + (71*f[7, 138])/4 + 2*f[7, 145] + (5*f[7, 146])/2 + 
       f[7, 147]/16 - 23*f[7, 148] - (311*f[7, 149])/4 - (13*f[7, 150])/96)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*SPw2f1[u, v] + 
     ((4*f[7, 26])/5 + (6*f[7, 27])/5 + f[7, 28]/10 + (4*f[7, 31])/5 + 
       f[7, 32]/5 + (8*f[7, 33])/5 + (4*f[7, 35])/5 - f[7, 36]/10 - 
       f[7, 37]/20 - (4*f[7, 38])/5 - f[7, 39]/10 + (7*f[7, 40])/10 + 
       f[7, 41]/20 + f[7, 42]/20 + (3*f[7, 43])/10 + (3*f[7, 44])/5 + 
       (11*f[7, 45])/10 + (11*f[7, 46])/10 + (9*f[7, 47])/20 + 
       (7*f[7, 48])/10 - (3*f[7, 49])/40 - 2*f[7, 50] + (39*f[7, 51])/40 - 
       f[7, 52] - f[7, 53]/5 + (3*f[7, 54])/2 - (27*f[7, 55])/4 - 
       (171*f[7, 56])/160 - (447*f[7, 57])/64 - (299*f[7, 58])/20 + 
       (613*f[7, 59])/120 - (2673*f[7, 60])/640 - (571*f[7, 61])/64 + 
       (10463*f[7, 62])/960 + (10463*f[7, 63])/960 - (10463*f[7, 64])/960 + 
       (321*f[7, 65])/320 - (1377*f[7, 66])/160 + (2063*f[7, 67])/320 - 
       (1281*f[7, 68])/80 - (1257*f[7, 69])/80 + (1849*f[7, 70])/320 - 
       (373*f[7, 71])/64 + (1023*f[7, 72])/80 - (1427*f[7, 73])/80 - 
       (1237*f[7, 74])/80 + (7243*f[7, 75])/480 + (2029*f[7, 76])/128 - 
       (17673*f[7, 77])/640 + (217*f[7, 78])/32 - (2533*f[7, 79])/480 + 
       (2417*f[7, 80])/480 - (305*f[7, 81])/16 + (16699*f[7, 82])/480 + 
       (167*f[7, 83])/16 + (1273*f[7, 84])/120 - (22459*f[7, 85])/1920 - 
       (853*f[7, 86])/30 - (1529*f[7, 87])/240 + (497*f[7, 88])/48 - 
       (9089*f[7, 89])/960 - (20161*f[7, 90])/1920 + (7357*f[7, 91])/96 - 
       (5197*f[7, 92])/320 - (7141*f[7, 93])/1920 + (263*f[7, 94])/10 - 
       (769*f[7, 95])/20 + (11101*f[7, 96])/320 - (875*f[7, 97])/192 - 
       (4471*f[7, 98])/960 - (2975*f[7, 99])/192 - (22399*f[7, 100])/96 - 
       (14959*f[7, 101])/480 - (37541*f[7, 102])/960 + (3223*f[7, 103])/240 - 
       (2755*f[7, 104])/96 + (10367*f[7, 105])/480 + (21169*f[7, 106])/240 - 
       (37889*f[7, 107])/240 + (6955*f[7, 108])/192 + (8199*f[7, 109])/320 + 
       (3007*f[7, 110])/640 + (1573*f[7, 111])/960 + (6623*f[7, 112])/320 + 
       (28769*f[7, 113])/960 + (7463*f[7, 114])/480 + 
       (56087*f[7, 115])/1920 - (397*f[7, 116])/96 - (287273*f[7, 117])/480 + 
       (41041*f[7, 118])/1920 + (171127*f[7, 119])/1920 + 
       (1793*f[7, 120])/64 - (13461*f[7, 121])/320 + (77761*f[7, 122])/960 + 
       (8283*f[7, 123])/320 - (1369*f[7, 124])/20 - (75241*f[7, 125])/960 + 
       (29423*f[7, 126])/960 + f[7, 132]/10 - f[7, 134]/10 + 
       (9*f[7, 135])/20 - (293*f[7, 136])/40 + (1153*f[7, 137])/80 + 
       (6523*f[7, 138])/320 + f[7, 144]/5 - (3*f[7, 145])/2 - 
       (243*f[7, 146])/20 - (127*f[7, 147])/40 - (4079*f[7, 148])/160 - 
       (14069*f[7, 149])/320 - (37309*f[7, 150])/480)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*SPw2f1[u, v] + 
     (-4*f[7, 27] + f[7, 30] - 2*f[7, 32] + 2*f[7, 36] - 4*f[7, 39] + 
       f[7, 41]/2 + f[7, 42]/2 - 2*f[7, 43] - 4*f[7, 44] + 4*f[7, 46] - 
       f[7, 47] - (15*f[7, 48])/4 + f[7, 49]/2 + 3*f[7, 50] - f[7, 51] + 
       2*f[7, 52] + f[7, 53] - f[7, 54] + 3*f[7, 55] - (7*f[7, 56])/4 + 
       24*f[7, 57] + 44*f[7, 58] - (593*f[7, 59])/24 + f[7, 60]/2 + 
       (21*f[7, 61])/2 - (937*f[7, 62])/48 - (937*f[7, 63])/48 + 
       (937*f[7, 64])/48 + (7*f[7, 65])/4 + (9*f[7, 66])/4 - 
       (183*f[7, 67])/8 + (15*f[7, 68])/2 + (13*f[7, 69])/2 - 
       (69*f[7, 70])/8 + (61*f[7, 71])/8 - (11*f[7, 72])/2 + 8*f[7, 73] + 
       6*f[7, 74] - (2321*f[7, 75])/96 + (9*f[7, 76])/2 + (55*f[7, 77])/4 - 
       (21*f[7, 78])/4 - (139*f[7, 79])/96 - (2875*f[7, 80])/96 + 
       (507*f[7, 81])/4 + (775*f[7, 82])/24 + (37*f[7, 83])/4 - 
       (485*f[7, 84])/96 - (1915*f[7, 85])/96 - (2947*f[7, 86])/96 - 
       (2587*f[7, 87])/96 - (13*f[7, 88])/96 + (595*f[7, 89])/48 + 
       (593*f[7, 90])/96 - (2363*f[7, 91])/12 - (413*f[7, 92])/32 - 
       (2053*f[7, 93])/96 - (2945*f[7, 94])/32 + (335*f[7, 95])/32 - 
       (337*f[7, 96])/8 + (727*f[7, 97])/24 + (631*f[7, 98])/24 - 
       (497*f[7, 99])/96 + (2333*f[7, 100])/12 + (167*f[7, 101])/6 + 
       (10049*f[7, 102])/96 - (1445*f[7, 103])/48 + (4157*f[7, 104])/48 - 
       (4087*f[7, 105])/96 - (1225*f[7, 106])/24 + (1447*f[7, 107])/12 - 
       (569*f[7, 108])/24 - (111*f[7, 109])/8 - (333*f[7, 110])/32 - 
       (1787*f[7, 111])/48 + (31*f[7, 112])/2 - (8147*f[7, 113])/96 - 
       (1069*f[7, 114])/96 - (4129*f[7, 115])/96 + (1915*f[7, 116])/96 + 
       (4787*f[7, 117])/12 - (4571*f[7, 118])/96 - (1721*f[7, 119])/24 + 
       (51*f[7, 120])/16 + (365*f[7, 121])/8 - (1609*f[7, 122])/24 + 
       (365*f[7, 124])/8 + (4307*f[7, 125])/48 - (1469*f[7, 126])/96 + 
       4*f[7, 140] + 4*f[7, 144] - 4*f[7, 145] + 96*f[7, 146] + 
       35*f[7, 147] + 70*f[7, 148] + (39*f[7, 149])/2 + (1129*f[7, 150])/6)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*SPw2f1[u, v] + 
     (f[7, 133] - f[7, 134] - f[7, 135]/2 + (17*f[7, 136])/2 + 70*f[7, 137] + 
       (981*f[7, 138])/16 - 4*f[7, 145] - 19*f[7, 146] - (71*f[7, 147])/4 + 
       (1105*f[7, 148])/16 + (1435*f[7, 149])/8 + (1955*f[7, 150])/48)*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*SPw2f1[u, v] + 
     (-f[7, 34] + 2*f[7, 40] + f[7, 47] + f[7, 48] - 2*f[7, 50] + 
       f[7, 51]/2 - f[7, 52] - 2*f[7, 53] + f[7, 54]/2 - 8*f[7, 55] - 
       (3*f[7, 56])/2 - (17*f[7, 57])/8 - 19*f[7, 58] + (16*f[7, 59])/3 - 
       (19*f[7, 60])/16 - (9*f[7, 61])/8 + (91*f[7, 62])/12 + 
       (91*f[7, 63])/12 - (91*f[7, 64])/12 - (171*f[7, 65])/8 + 27*f[7, 66] + 
       (51*f[7, 67])/2 + 69*f[7, 68] + 66*f[7, 69] - 17*f[7, 70] + 
       17*f[7, 71] - 72*f[7, 72] + (133*f[7, 73])/2 + 68*f[7, 74] + 
       (1045*f[7, 75])/48 - (1679*f[7, 76])/16 + (899*f[7, 77])/16 - 
       (127*f[7, 78])/4 + (275*f[7, 79])/12 + (167*f[7, 80])/12 - 
       (541*f[7, 81])/4 - (1579*f[7, 82])/6 - (561*f[7, 83])/4 - 
       (157*f[7, 84])/6 + (637*f[7, 85])/6 + (12545*f[7, 86])/48 + 
       (6125*f[7, 87])/48 - (82*f[7, 88])/3 + (145*f[7, 89])/24 - 
       (25*f[7, 90])/48 + (641*f[7, 91])/12 + (1543*f[7, 92])/16 + 
       (302*f[7, 93])/3 + (105*f[7, 94])/2 + (627*f[7, 95])/4 + 
       (17*f[7, 96])/4 - (1951*f[7, 97])/24 - (1951*f[7, 98])/24 + 
       (3637*f[7, 99])/48 + (4729*f[7, 100])/12 + (431*f[7, 101])/12 + 
       (179*f[7, 102])/48 + (74*f[7, 103])/3 - (371*f[7, 104])/12 + 
       (539*f[7, 105])/12 - (601*f[7, 106])/3 + (1243*f[7, 107])/6 - 
       (503*f[7, 108])/12 - (53*f[7, 109])/8 + (49*f[7, 110])/2 + 
       (1235*f[7, 111])/12 - (2017*f[7, 112])/16 + (59*f[7, 113])/6 - 
       (125*f[7, 114])/6 + (1955*f[7, 115])/48 - (307*f[7, 116])/6 + 
       (14431*f[7, 117])/12 + (1897*f[7, 118])/48 - (6989*f[7, 119])/48 - 
       87*f[7, 120] + (79*f[7, 121])/2 - (3203*f[7, 122])/24 - 
       (107*f[7, 123])/2 + (187*f[7, 124])/2 + (541*f[7, 125])/12 - 
       (553*f[7, 126])/6 - f[7, 133] + f[7, 134] + f[7, 135]/2 - 
       (17*f[7, 136])/2 - 70*f[7, 137] - (981*f[7, 138])/16 - 4*f[7, 145] - 
       19*f[7, 146] - (71*f[7, 147])/4 + (1105*f[7, 148])/16 + 
       (1435*f[7, 149])/8 + (1955*f[7, 150])/48)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v]*SPw2f1[u, v] + 
     (-2*f[7, 21] + f[7, 30]/2 - 3*f[7, 50] - 3*f[7, 53] + (57*f[7, 65])/4 - 
       (57*f[7, 66])/4 - (57*f[7, 67])/8 - (117*f[7, 68])/4 - 
       (55*f[7, 69])/2 + (55*f[7, 70])/8 - (55*f[7, 71])/8 + 
       (113*f[7, 72])/4 - (113*f[7, 73])/4 - (113*f[7, 74])/4 - 
       (69*f[7, 75])/16 + (537*f[7, 76])/16 - (113*f[7, 77])/8 + 
       (49*f[7, 78])/4 - 10*f[7, 79] - (7*f[7, 80])/8 + (79*f[7, 81])/4 + 
       (221*f[7, 82])/2 + (289*f[7, 83])/4 + 10*f[7, 84] - 
       (659*f[7, 85])/16 - (1405*f[7, 86])/16 - (649*f[7, 87])/16 + 
       10*f[7, 88] - (63*f[7, 89])/8 - (7*f[7, 90])/8 + (37*f[7, 91])/2 - 
       (293*f[7, 92])/8 - (663*f[7, 93])/16 - (79*f[7, 94])/16 - 
       (233*f[7, 95])/4 + 4*f[7, 96] + (179*f[7, 97])/8 + (187*f[7, 98])/8 - 
       (389*f[7, 99])/16 - (613*f[7, 100])/4 - (141*f[7, 101])/16 - 
       (347*f[7, 102])/16 - (85*f[7, 103])/16 - (81*f[7, 104])/16 - 
       10*f[7, 105] + 80*f[7, 106] - (99*f[7, 107])/2 + 20*f[7, 108] + 
       (103*f[7, 109])/8 - (257*f[7, 110])/16 - (145*f[7, 111])/4 + 
       (663*f[7, 112])/16 + (33*f[7, 113])/4 + 10*f[7, 114] - 
       (17*f[7, 115])/4 + 8*f[7, 116] - (933*f[7, 117])/2 - 
       (79*f[7, 118])/16 + (911*f[7, 119])/16 + (237*f[7, 120])/8 - 
       20*f[7, 121] + (423*f[7, 122])/8 + 20*f[7, 123] - 40*f[7, 124] - 
       (103*f[7, 125])/4 + 28*f[7, 126] - 3*f[7, 136] + (63*f[7, 137])/4 + 
       16*f[7, 138] + 6*f[7, 145] + (5*f[7, 146])/2 + (5*f[7, 147])/4 - 
       (141*f[7, 148])/4 - (1651*f[7, 149])/16 + (715*f[7, 150])/48)*
      HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*SPw2f1[u, v] + 
     (f[7, 30]/4 - f[7, 50]/2 - f[7, 53]/2 + (3*f[7, 55])/2 - 
       (7*f[7, 65])/4 + (5*f[7, 66])/4 + (5*f[7, 67])/8 - f[7, 68]/2 - 
       f[7, 69]/2 + f[7, 70]/8 - f[7, 71]/8 + (5*f[7, 72])/4 - 
       (5*f[7, 73])/4 - (5*f[7, 74])/4 - (29*f[7, 75])/32 + 
       (47*f[7, 76])/16 + (25*f[7, 77])/8 + f[7, 78]/4 + (37*f[7, 79])/32 + 
       (121*f[7, 80])/32 + (77*f[7, 81])/8 - (13*f[7, 82])/8 - 
       (35*f[7, 83])/2 - (37*f[7, 84])/32 + (29*f[7, 85])/32 - 
       (103*f[7, 86])/32 - (91*f[7, 87])/32 - (37*f[7, 88])/32 + 
       (3*f[7, 89])/8 + (121*f[7, 90])/32 + 19*f[7, 91] - (49*f[7, 92])/32 + 
       (141*f[7, 93])/32 + (25*f[7, 94])/32 - (7*f[7, 95])/32 - 
       (15*f[7, 96])/8 + (3*f[7, 97])/8 + (3*f[7, 98])/8 + (45*f[7, 99])/32 + 
       (15*f[7, 100])/4 + (39*f[7, 101])/16 + (23*f[7, 102])/32 + 
       (11*f[7, 103])/16 + (3*f[7, 104])/8 + (37*f[7, 105])/32 - 
       (37*f[7, 106])/4 + (11*f[7, 107])/2 - (37*f[7, 108])/16 - 
       (111*f[7, 109])/16 - (11*f[7, 110])/32 + (15*f[7, 111])/8 - 
       (15*f[7, 112])/16 + (205*f[7, 113])/32 - (37*f[7, 114])/32 - 
       (115*f[7, 115])/32 + (27*f[7, 116])/32 + 26*f[7, 117] + 
       (25*f[7, 118])/32 - 3*f[7, 119] - (57*f[7, 120])/16 + 
       (37*f[7, 121])/16 - (89*f[7, 122])/16 - (37*f[7, 123])/16 + 
       (37*f[7, 124])/8 + (39*f[7, 125])/8 - (47*f[7, 126])/32 + 
       f[7, 137]/2 + (31*f[7, 138])/8 + f[7, 147]/4 - (5*f[7, 148])/4 - 
       7*f[7, 149] + (35*f[7, 150])/8)*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
      SPw2f1[u, v] + (-f[7, 137]/2 - (31*f[7, 138])/8 + f[7, 147]/4 - 
       (5*f[7, 148])/4 - 7*f[7, 149] + (35*f[7, 150])/8)*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - v]*SPw2f1[u, v] + 
     (-f[7, 30] - f[7, 35] + 4*f[7, 38] - f[7, 40] - 2*f[7, 46] - 
       f[7, 47]/2 + f[7, 49]/2 + f[7, 50] - f[7, 51]/2 + (3*f[7, 52])/2 - 
       f[7, 53] - f[7, 54] + 4*f[7, 55] + (23*f[7, 56])/8 + 
       (115*f[7, 57])/16 + (11*f[7, 58])/2 - (13*f[7, 59])/3 + 
       (161*f[7, 60])/32 + (191*f[7, 61])/16 - (581*f[7, 62])/96 - 
       (581*f[7, 63])/96 + (581*f[7, 64])/96 + (247*f[7, 65])/16 - 
       (39*f[7, 66])/8 - (123*f[7, 67])/16 - 12*f[7, 68] - (55*f[7, 69])/4 + 
       (35*f[7, 70])/16 - (35*f[7, 71])/16 + (31*f[7, 72])/2 - 
       (43*f[7, 73])/4 - (27*f[7, 74])/2 - (799*f[7, 75])/48 + 
       (889*f[7, 76])/32 - (171*f[7, 77])/32 + (83*f[7, 78])/8 - 
       (223*f[7, 79])/24 - (11*f[7, 80])/3 + 4*f[7, 81] + 
       (1003*f[7, 82])/24 + (217*f[7, 83])/4 + (5*f[7, 84])/12 - 
       (1711*f[7, 85])/96 - (3191*f[7, 86])/48 - (1727*f[7, 87])/48 - 
       (2*f[7, 88])/3 + (113*f[7, 89])/96 + (857*f[7, 90])/96 - 
       (373*f[7, 91])/6 - (273*f[7, 92])/16 - (2539*f[7, 93])/96 - 
       (39*f[7, 94])/2 - 26*f[7, 95] - 18*f[7, 96] + (371*f[7, 97])/12 + 
       (395*f[7, 98])/12 - (713*f[7, 99])/96 + (73*f[7, 100])/24 + 
       (263*f[7, 101])/96 + (425*f[7, 102])/96 - (785*f[7, 103])/48 + 
       (913*f[7, 104])/96 - (1313*f[7, 105])/48 + (455*f[7, 106])/24 + 
       (641*f[7, 107])/24 - (455*f[7, 108])/96 - (269*f[7, 109])/32 - 
       (31*f[7, 110])/4 - (2677*f[7, 111])/96 + (589*f[7, 112])/32 - 
       (881*f[7, 113])/96 + (187*f[7, 114])/48 - (2059*f[7, 115])/96 + 
       (683*f[7, 116])/48 - (223*f[7, 117])/3 - (1279*f[7, 118])/48 + 
       (481*f[7, 119])/96 + (497*f[7, 120])/32 + (547*f[7, 121])/32 - 
       (1369*f[7, 122])/96 - (199*f[7, 123])/32 + (377*f[7, 124])/16 + 
       (3715*f[7, 125])/96 + (553*f[7, 126])/96 + 3*f[7, 136] - 
       (63*f[7, 137])/4 - 16*f[7, 138] + 6*f[7, 145] + (5*f[7, 146])/2 + 
       (5*f[7, 147])/4 - (141*f[7, 148])/4 - (1651*f[7, 149])/16 + 
       (715*f[7, 150])/48)*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
      SPw2f1[u, v] + (f[7, 19]/4 + f[7, 20]/2 - 6*f[7, 131])*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*SPw2f1[u, v]^2 + (-6*f[7, 136] - (95*f[7, 137])/2 - 
       (375*f[7, 138])/16 + 4*f[7, 145] + 5*f[7, 146] - (255*f[7, 148])/8 - 
       (947*f[7, 149])/8 + (53*f[7, 150])/3)*HPL[{0, 1}, 1 - u]*
      SPw2f1[u, v]^2 + (2*f[7, 26] + 2*f[7, 27] - f[7, 30]/2 + 2*f[7, 31] + 
       2*f[7, 33] + 2*f[7, 35] + 2*f[7, 40] + f[7, 47] - f[7, 49] - 
       2*f[7, 50] + f[7, 51] - 3*f[7, 52] + 2*f[7, 53] + 2*f[7, 54] - 
       13*f[7, 55] - (23*f[7, 56])/4 - (115*f[7, 57])/8 - 11*f[7, 58] + 
       (26*f[7, 59])/3 - (161*f[7, 60])/16 - (191*f[7, 61])/8 + 
       (551*f[7, 62])/48 + (551*f[7, 63])/48 - (551*f[7, 64])/48 - 
       (299*f[7, 65])/8 + (91*f[7, 66])/4 + (175*f[7, 67])/8 + 
       (183*f[7, 68])/4 + (91*f[7, 69])/2 - (51*f[7, 70])/8 + 
       (51*f[7, 71])/8 - (197*f[7, 72])/4 + (159*f[7, 73])/4 + 
       (181*f[7, 74])/4 + (1121*f[7, 75])/48 - (571*f[7, 76])/8 + 
       (215*f[7, 77])/16 - (93*f[7, 78])/4 + (1729*f[7, 79])/48 + 
       (1147*f[7, 80])/48 + (165*f[7, 81])/4 - (2647*f[7, 82])/12 - 
       203*f[7, 83] - (877*f[7, 84])/48 + (1913*f[7, 85])/24 + 
       (8971*f[7, 86])/48 + (4693*f[7, 87])/48 - (773*f[7, 88])/48 + 
       (259*f[7, 89])/48 - (31*f[7, 90])/24 + (323*f[7, 91])/6 + 
       (179*f[7, 92])/2 + (1141*f[7, 93])/12 + (133*f[7, 94])/4 + 
       (1527*f[7, 95])/16 + (261*f[7, 96])/8 - (2069*f[7, 97])/24 - 
       (2069*f[7, 98])/24 + (485*f[7, 99])/12 + (209*f[7, 100])/3 - 
       (217*f[7, 101])/24 + (229*f[7, 102])/12 + (1843*f[7, 103])/48 + 
       (115*f[7, 104])/24 + (3403*f[7, 105])/48 - (2159*f[7, 106])/12 - 
       (257*f[7, 107])/12 - (1309*f[7, 108])/48 - (455*f[7, 109])/16 + 
       (671*f[7, 110])/16 + (3943*f[7, 111])/48 - (1289*f[7, 112])/16 + 
       (401*f[7, 113])/12 - (1271*f[7, 114])/48 + (167*f[7, 115])/24 - 
       (1621*f[7, 116])/48 + (1745*f[7, 117])/3 + (137*f[7, 118])/3 - 
       (311*f[7, 119])/6 - (1141*f[7, 120])/16 + (21*f[7, 121])/16 - 
       (3035*f[7, 122])/48 - (369*f[7, 123])/16 + (191*f[7, 124])/8 - 
       (973*f[7, 125])/48 - (157*f[7, 126])/3 - 6*f[7, 136] - 
       (95*f[7, 137])/2 - (375*f[7, 138])/16 - 4*f[7, 145] - 5*f[7, 146] + 
       (255*f[7, 148])/8 + (947*f[7, 149])/8 - (53*f[7, 150])/3)*
      HPL[{0, 1}, 1 - v]*SPw2f1[u, v]^2 + 
     (-f[7, 26]/15 + f[7, 27]/15 + f[7, 28]/30 - f[7, 31]/15 + f[7, 32]/15 + 
       f[7, 33]/5 - f[7, 35]/15 - f[7, 36]/30 - f[7, 37]/60 - 
       (8*f[7, 38])/5 - f[7, 39]/30 - f[7, 40]/10 + f[7, 41]/60 + 
       f[7, 42]/60 + f[7, 43]/10 + f[7, 44]/5 + (11*f[7, 45])/30 + 
       (31*f[7, 46])/30 + (3*f[7, 47])/20 + (7*f[7, 48])/30 + 
       (17*f[7, 49])/120 - (17*f[7, 50])/24 + (19*f[7, 51])/120 + 
       f[7, 52]/2 - (31*f[7, 53])/40 + f[7, 54]/6 - (19*f[7, 55])/24 + 
       (269*f[7, 56])/480 - (119*f[7, 57])/192 - (349*f[7, 58])/60 + 
       (203*f[7, 59])/360 + (167*f[7, 60])/1920 + (173*f[7, 61])/192 + 
       (7273*f[7, 62])/2880 + (7273*f[7, 63])/2880 - (7273*f[7, 64])/2880 + 
       (1327*f[7, 65])/320 - (1807*f[7, 66])/480 + (1553*f[7, 67])/960 - 
       (1201*f[7, 68])/240 - (389*f[7, 69])/80 + (479*f[7, 70])/960 - 
       (33*f[7, 71])/64 + (101*f[7, 72])/30 - (67*f[7, 73])/15 - 
       (511*f[7, 74])/120 + (24167*f[7, 75])/5760 + (1267*f[7, 76])/384 - 
       (1431*f[7, 77])/640 + (79*f[7, 78])/96 - (32327*f[7, 79])/5760 - 
       (10667*f[7, 80])/5760 - (1093*f[7, 81])/32 + (15337*f[7, 82])/720 + 
       (1321*f[7, 83])/48 + (23363*f[7, 84])/5760 - (14587*f[7, 85])/2880 - 
       (44087*f[7, 86])/5760 - (14867*f[7, 87])/5760 + (3743*f[7, 88])/1152 - 
       (11269*f[7, 89])/2880 - (3397*f[7, 90])/720 + (8273*f[7, 91])/288 - 
       (19489*f[7, 92])/1920 - (2621*f[7, 93])/360 + (7869*f[7, 94])/640 - 
       (17533*f[7, 95])/1920 + (2037*f[7, 96])/320 + (1955*f[7, 97])/576 + 
       (8719*f[7, 98])/2880 - (3905*f[7, 99])/1152 - (10421*f[7, 100])/288 - 
       (7123*f[7, 101])/2880 - (106847*f[7, 102])/5760 + 
       (4637*f[7, 103])/2880 - (1235*f[7, 104])/72 - (3407*f[7, 105])/5760 + 
       (14617*f[7, 106])/360 - (13939*f[7, 107])/720 + (116*f[7, 108])/9 + 
       (1963*f[7, 109])/120 - (4919*f[7, 110])/960 - (4327*f[7, 111])/2880 + 
       (82*f[7, 112])/15 + (21323*f[7, 113])/5760 + (47287*f[7, 114])/5760 + 
       (23413*f[7, 115])/1440 - (3677*f[7, 116])/1152 - 
       (212893*f[7, 117])/1440 + (17293*f[7, 118])/2880 + 
       (109907*f[7, 119])/5760 + (275*f[7, 120])/24 - (2479*f[7, 121])/240 + 
       (33643*f[7, 122])/1440 + (3209*f[7, 123])/480 - (8207*f[7, 124])/480 - 
       (53081*f[7, 125])/2880 + (43451*f[7, 126])/5760 + f[7, 132]/30 - 
       f[7, 134]/30 + (3*f[7, 135])/20 - (111*f[7, 136])/40 + 
       (1103*f[7, 137])/240 + (2623*f[7, 138])/960 + f[7, 144]/15 - 
       f[7, 145]/2 - (353*f[7, 146])/60 - (899*f[7, 147])/240 - 
       (2519*f[7, 148])/480 - (3323*f[7, 149])/320 - (892*f[7, 150])/45)*
      HPL[{1}, 1 - u]^3*SPw3f1[u, v] + (f[7, 26]/5 - f[7, 27]/5 - 
       f[7, 28]/10 + f[7, 31]/5 - f[7, 32]/5 - (3*f[7, 33])/5 + f[7, 35]/5 + 
       f[7, 36]/10 + f[7, 37]/20 + (4*f[7, 38])/5 + f[7, 39]/10 + 
       (3*f[7, 40])/10 - f[7, 41]/20 - f[7, 42]/20 - (3*f[7, 43])/10 - 
       (3*f[7, 44])/5 - (11*f[7, 45])/10 - (11*f[7, 46])/10 + f[7, 47]/20 - 
       (7*f[7, 48])/10 - (17*f[7, 49])/40 + (9*f[7, 50])/8 - 
       (19*f[7, 51])/40 - f[7, 52]/2 + (53*f[7, 53])/40 - f[7, 54]/2 + 
       (7*f[7, 55])/8 - (289*f[7, 56])/160 - (13*f[7, 57])/64 + 
       (189*f[7, 58])/20 - (31*f[7, 59])/40 - (547*f[7, 60])/640 - 
       (193*f[7, 61])/64 - (1651*f[7, 62])/320 - (1651*f[7, 63])/320 + 
       (1651*f[7, 64])/320 - (6081*f[7, 65])/320 + (2827*f[7, 66])/160 + 
       (1067*f[7, 67])/320 + (2661*f[7, 68])/80 + (2667*f[7, 69])/80 - 
       (2459*f[7, 70])/320 + (495*f[7, 71])/64 - (637*f[7, 72])/20 + 
       (643*f[7, 73])/20 + (1301*f[7, 74])/40 - (1469*f[7, 75])/640 - 
       (5607*f[7, 76])/128 + (19353*f[7, 77])/640 - (507*f[7, 78])/32 + 
       (12549*f[7, 79])/640 + (2769*f[7, 80])/640 + (1151*f[7, 81])/32 - 
       (9389*f[7, 82])/80 - (1497*f[7, 83])/16 - (10281*f[7, 84])/640 + 
       (13379*f[7, 85])/320 + (65869*f[7, 86])/640 + (29649*f[7, 87])/640 - 
       (1885*f[7, 88])/128 + (3743*f[7, 89])/320 + (1163*f[7, 90])/160 - 
       (1503*f[7, 91])/32 + (32009*f[7, 92])/640 + (6683*f[7, 93])/160 - 
       (7247*f[7, 94])/640 + (46853*f[7, 95])/640 - (5611*f[7, 96])/320 - 
       (1989*f[7, 97])/64 - (9913*f[7, 98])/320 + (3771*f[7, 99])/128 + 
       (7659*f[7, 100])/32 + (7901*f[7, 101])/320 + (29029*f[7, 102])/640 + 
       (1161*f[7, 103])/320 + (465*f[7, 104])/16 + (6509*f[7, 105])/640 - 
       (5949*f[7, 106])/40 + (10553*f[7, 107])/80 - (85*f[7, 108])/2 - 
       (1373*f[7, 109])/40 + (4189*f[7, 110])/320 + (10549*f[7, 111])/320 - 
       (3957*f[7, 112])/80 - (9441*f[7, 113])/640 - (16069*f[7, 114])/640 - 
       (1753*f[7, 115])/80 - (1081*f[7, 116])/128 + (123651*f[7, 117])/160 - 
       (61*f[7, 118])/320 - (65429*f[7, 119])/640 - (425*f[7, 120])/8 + 
       (2829*f[7, 121])/80 - (14741*f[7, 122])/160 - (4809*f[7, 123])/160 + 
       (10507*f[7, 124])/160 + (18147*f[7, 125])/320 - 
       (28897*f[7, 126])/640 - f[7, 132]/10 + f[7, 134]/10 - 
       (9*f[7, 135])/20 + (173*f[7, 136])/40 - (2643*f[7, 137])/80 - 
       (9043*f[7, 138])/320 - f[7, 144]/5 - f[7, 145]/2 + 
       (193*f[7, 146])/20 + (239*f[7, 147])/80 + (5689*f[7, 148])/160 + 
       (27669*f[7, 149])/320 + (4539*f[7, 150])/80)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*SPw3f1[u, v] + (f[7, 21]/3 - (2*f[7, 26])/15 + 
       (2*f[7, 27])/15 + f[7, 28]/15 - (2*f[7, 31])/15 + (2*f[7, 32])/15 + 
       (2*f[7, 33])/5 - (7*f[7, 35])/15 - f[7, 36]/15 - f[7, 37]/30 - 
       (8*f[7, 38])/15 - f[7, 39]/15 - (8*f[7, 40])/15 + f[7, 41]/30 + 
       f[7, 42]/30 + f[7, 43]/5 + (2*f[7, 44])/5 + (11*f[7, 45])/15 + 
       (11*f[7, 46])/15 - f[7, 47]/30 + (7*f[7, 48])/15 + (9*f[7, 49])/20 - 
       (3*f[7, 50])/4 + (3*f[7, 51])/20 + (7*f[7, 52])/6 - (31*f[7, 53])/20 + 
       (5*f[7, 55])/6 + (509*f[7, 56])/240 + (59*f[7, 57])/32 - 
       (107*f[7, 58])/15 - (28*f[7, 59])/45 + (1967*f[7, 60])/960 + 
       (565*f[7, 61])/96 + (104*f[7, 62])/45 + (104*f[7, 63])/45 - 
       (104*f[7, 64])/45 + (6061*f[7, 65])/480 - (729*f[7, 66])/80 - 
       (467*f[7, 67])/480 - (647*f[7, 68])/40 - (649*f[7, 69])/40 + 
       (1339*f[7, 70])/480 - (271*f[7, 71])/96 + (457*f[7, 72])/30 - 
       (297*f[7, 73])/20 - (941*f[7, 74])/60 + (31*f[7, 75])/1440 + 
       (4187*f[7, 76])/192 - (3471*f[7, 77])/320 + (371*f[7, 78])/48 - 
       (19981*f[7, 79])/1440 - (6691*f[7, 80])/1440 - (569*f[7, 81])/12 + 
       (45659*f[7, 82])/720 + (1609*f[7, 83])/24 + (11779*f[7, 84])/1440 - 
       (58649*f[7, 85])/2880 - (73891*f[7, 86])/1440 - 
       (34621*f[7, 87])/1440 + (1891*f[7, 88])/288 - (2221*f[7, 89])/360 - 
       (12371*f[7, 90])/2880 + (4019*f[7, 91])/144 - (13867*f[7, 92])/480 - 
       (71891*f[7, 93])/2880 + (861*f[7, 94])/80 - (16219*f[7, 95])/480 + 
       (807*f[7, 96])/160 + (5885*f[7, 97])/288 + (29329*f[7, 98])/1440 - 
       (3577*f[7, 99])/288 - (12701*f[7, 100])/144 - (2587*f[7, 101])/360 - 
       (42691*f[7, 102])/1440 - (6223*f[7, 103])/1440 - 
       (3395*f[7, 104])/144 - (16651*f[7, 105])/1440 + 
       (15457*f[7, 106])/180 - (7757*f[7, 107])/180 + (1655*f[7, 108])/72 + 
       (2881*f[7, 109])/120 - (10613*f[7, 110])/960 - (761*f[7, 111])/45 + 
       (5339*f[7, 112])/240 + (5779*f[7, 113])/1440 + 
       (24011*f[7, 114])/1440 + (49717*f[7, 115])/2880 + 
       (815*f[7, 116])/288 - (255703*f[7, 117])/720 - (3949*f[7, 118])/2880 + 
       (128117*f[7, 119])/2880 + (475*f[7, 120])/16 - (1101*f[7, 121])/80 + 
       (30133*f[7, 122])/720 + (479*f[7, 123])/40 - (6197*f[7, 124])/240 - 
       (943*f[7, 125])/45 + (29263*f[7, 126])/1440 + f[7, 132]/15 - 
       f[7, 134]/15 + (3*f[7, 135])/10 - (193*f[7, 136])/60 + 
       (1483*f[7, 137])/120 + (1709*f[7, 138])/240 + (2*f[7, 144])/15 + 
       f[7, 145]/3 - (124*f[7, 146])/15 - (449*f[7, 147])/120 - 
       (2317*f[7, 148])/120 - (8403*f[7, 149])/160 - (9817*f[7, 150])/360)*
      HPL[{1}, 1 - v]^3*SPw3f1[u, v] + (f[7, 41] + f[7, 42] + 2*f[7, 43] + 
       2*f[7, 44] + f[7, 47] + f[7, 49]/2 + f[7, 51]/2 + f[7, 54]/2 + 
       (5*f[7, 56])/2 - (65*f[7, 57])/8 - 39*f[7, 58] + (95*f[7, 59])/12 + 
       (5*f[7, 60])/16 + (15*f[7, 61])/8 + (56*f[7, 62])/3 + 
       (56*f[7, 63])/3 - (56*f[7, 64])/3 + (403*f[7, 65])/8 - 
       (231*f[7, 66])/4 - (71*f[7, 67])/8 - (231*f[7, 68])/2 - 
       (231*f[7, 69])/2 + (231*f[7, 70])/8 - (231*f[7, 71])/8 + 
       116*f[7, 72] - (231*f[7, 73])/2 - (229*f[7, 74])/2 + 
       (253*f[7, 75])/24 + (2547*f[7, 76])/16 - (1907*f[7, 77])/16 + 
       (231*f[7, 78])/4 - (1423*f[7, 79])/24 + f[7, 80]/3 - 
       (333*f[7, 81])/4 + (4469*f[7, 82])/12 + 229*f[7, 83] + 
       (1285*f[7, 84])/24 - (6527*f[7, 85])/48 - (8653*f[7, 86])/24 - 
       (3889*f[7, 87])/24 + (1217*f[7, 88])/24 - (455*f[7, 89])/12 - 
       (953*f[7, 90])/48 + (2533*f[7, 91])/12 - (1355*f[7, 92])/8 - 
       (5609*f[7, 93])/48 + (175*f[7, 94])/4 - (2049*f[7, 95])/8 + 
       (529*f[7, 96])/8 + (2113*f[7, 97])/24 + (2113*f[7, 98])/24 - 
       (2405*f[7, 99])/24 - (11101*f[7, 100])/12 - (2473*f[7, 101])/24 - 
       (3745*f[7, 102])/24 - (41*f[7, 103])/12 - (2309*f[7, 104])/24 - 
       (439*f[7, 105])/24 + (5767*f[7, 106])/12 - (1583*f[7, 107])/3 + 
       (434*f[7, 108])/3 + (193*f[7, 109])/2 - (463*f[7, 110])/16 - 
       (1169*f[7, 111])/12 + (339*f[7, 112])/2 + (1897*f[7, 113])/24 + 
       (1925*f[7, 114])/24 + (3187*f[7, 115])/48 + (847*f[7, 116])/24 - 
       (33121*f[7, 117])/12 + (179*f[7, 118])/48 + (18029*f[7, 119])/48 + 
       (1427*f[7, 120])/8 - (529*f[7, 121])/4 + (991*f[7, 122])/3 + 
       (413*f[7, 123])/4 - (471*f[7, 124])/2 - (1307*f[7, 125])/6 + 
       (3985*f[7, 126])/24 + f[7, 135]/2 - 19*f[7, 136] + (231*f[7, 137])/2 + 
       (451*f[7, 138])/4 - 39*f[7, 146] - (37*f[7, 147])/4 - 136*f[7, 148] - 
       (2447*f[7, 149])/8 - (2531*f[7, 150])/12)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*SPw3f1[u, v] + (-f[7, 34]/2 + f[7, 45] + f[7, 46] + 
       f[7, 47]/4 - (3*f[7, 48])/4 - f[7, 49]/4 - 2*f[7, 50] + f[7, 51]/4 - 
       f[7, 52] - (3*f[7, 53])/2 + (3*f[7, 54])/4 - (7*f[7, 55])/2 - 
       f[7, 56]/4 + (5*f[7, 57])/16 + 2*f[7, 58] - f[7, 59]/2 - f[7, 60]/32 - 
       (11*f[7, 61])/16 - (21*f[7, 62])/32 - (21*f[7, 63])/32 + 
       (21*f[7, 64])/32 - (343*f[7, 65])/16 + (203*f[7, 66])/8 + 
       (207*f[7, 67])/16 + (221*f[7, 68])/4 + (219*f[7, 69])/4 - 
       (223*f[7, 70])/16 + (223*f[7, 71])/16 - (231*f[7, 72])/4 + 
       (111*f[7, 73])/2 + (223*f[7, 74])/4 + (237*f[7, 75])/32 - 
       (2613*f[7, 76])/32 + (1631*f[7, 77])/32 - (219*f[7, 78])/8 + 
       (759*f[7, 79])/32 + (173*f[7, 80])/32 - (263*f[7, 81])/8 - 
       (387*f[7, 82])/2 - (209*f[7, 83])/2 - (707*f[7, 84])/32 + 
       (1201*f[7, 85])/16 + (6151*f[7, 86])/32 + (2891*f[7, 87])/32 - 
       (723*f[7, 88])/32 + (353*f[7, 89])/32 + (33*f[7, 90])/8 - 
       24*f[7, 91] + (2577*f[7, 92])/32 + (131*f[7, 93])/2 + 
       (489*f[7, 94])/32 + (3935*f[7, 95])/32 - (99*f[7, 96])/8 - 
       (103*f[7, 97])/2 - (105*f[7, 98])/2 + 53*f[7, 99] + 
       (3011*f[7, 100])/8 + (1233*f[7, 101])/32 + (71*f[7, 102])/2 + 
       (93*f[7, 103])/8 + (241*f[7, 104])/32 + (765*f[7, 105])/32 - 
       (1535*f[7, 106])/8 + (1633*f[7, 107])/8 - (1565*f[7, 108])/32 - 
       (737*f[7, 109])/32 + (575*f[7, 110])/32 + (2095*f[7, 111])/32 - 
       (2869*f[7, 112])/32 - (55*f[7, 113])/4 - (829*f[7, 114])/32 + 
       (73*f[7, 115])/16 - (933*f[7, 116])/32 + 1118*f[7, 117] + 
       (579*f[7, 118])/32 - (4611*f[7, 119])/32 - (2459*f[7, 120])/32 + 
       (1415*f[7, 121])/32 - (4027*f[7, 122])/32 - (1451*f[7, 123])/32 + 
       (1425*f[7, 124])/16 + (2047*f[7, 125])/32 - 75*f[7, 126] - 
       f[7, 133]/2 - f[7, 135]/4 + (3*f[7, 136])/4 - (223*f[7, 137])/4 - 
       (203*f[7, 138])/4 - f[7, 145] + 2*f[7, 146] - (39*f[7, 147])/8 + 
       59*f[7, 148] + (2347*f[7, 149])/16 + (965*f[7, 150])/16)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*SPw3f1[u, v] + 
     (-2*f[7, 24] - 2*f[7, 43] - 2*f[7, 44] - f[7, 48]/2 - (3*f[7, 49])/2 - 
       f[7, 51] - (3*f[7, 54])/2 - 2*f[7, 56] + (25*f[7, 57])/8 + 
       14*f[7, 58] - (13*f[7, 59])/6 - (9*f[7, 60])/16 + f[7, 61]/8 - 
       (43*f[7, 62])/6 - (43*f[7, 63])/6 + (43*f[7, 64])/6 - 
       (247*f[7, 65])/8 + (139*f[7, 66])/4 + (79*f[7, 67])/8 + 
       (139*f[7, 68])/2 + (139*f[7, 69])/2 - (139*f[7, 70])/8 + 
       (139*f[7, 71])/8 - 71*f[7, 72] + (139*f[7, 73])/2 + (139*f[7, 74])/2 - 
       (31*f[7, 75])/24 - (1583*f[7, 76])/16 + (1143*f[7, 77])/16 - 
       (139*f[7, 78])/4 + (841*f[7, 79])/24 + (121*f[7, 80])/24 + 
       (39*f[7, 81])/2 - (2807*f[7, 82])/12 - (287*f[7, 83])/2 - 
       (751*f[7, 84])/24 + (4211*f[7, 85])/48 + (5437*f[7, 86])/24 + 
       (2479*f[7, 87])/24 - (731*f[7, 88])/24 + (239*f[7, 89])/12 + 
       (557*f[7, 90])/48 - (853*f[7, 91])/12 + (205*f[7, 92])/2 + 
       (3653*f[7, 93])/48 - 3*f[7, 94] + (1247*f[7, 95])/8 - 
       (261*f[7, 96])/8 - (1453*f[7, 97])/24 - (1453*f[7, 98])/24 + 
       (1505*f[7, 99])/24 + (6361*f[7, 100])/12 + (1405*f[7, 101])/24 + 
       (427*f[7, 102])/6 + (101*f[7, 103])/12 + (221*f[7, 104])/6 + 
       (457*f[7, 105])/24 - (1667*f[7, 106])/6 + (911*f[7, 107])/3 - 
       (959*f[7, 108])/12 - (207*f[7, 109])/4 + (311*f[7, 110])/16 + 
       (827*f[7, 111])/12 - (431*f[7, 112])/4 - (95*f[7, 113])/3 - 
       (1037*f[7, 114])/24 - (1195*f[7, 115])/48 - (649*f[7, 116])/24 + 
       (19237*f[7, 117])/12 + (367*f[7, 118])/48 - (10265*f[7, 119])/48 - 
       (419*f[7, 120])/4 + (289*f[7, 121])/4 - (559*f[7, 122])/3 - 
       (127*f[7, 123])/2 + (541*f[7, 124])/4 + (1369*f[7, 125])/12 - 
       (2353*f[7, 126])/24 - f[7, 135] + 20*f[7, 136] - (379*f[7, 137])/4 - 
       (1425*f[7, 138])/16 - 2*f[7, 145] - 15*f[7, 146] - 12*f[7, 147] + 
       (337*f[7, 148])/8 + (1865*f[7, 149])/16 + (563*f[7, 150])/24)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*SPw3f1[u, v] + 
     (2*f[7, 24] + f[7, 34]/2 - f[7, 45] - f[7, 46] - f[7, 47]/4 + 
       (3*f[7, 48])/4 + f[7, 49]/4 + 2*f[7, 50] - f[7, 51]/4 + f[7, 52] + 
       (3*f[7, 53])/2 - (3*f[7, 54])/4 + (7*f[7, 55])/2 + (3*f[7, 56])/8 + 
       f[7, 57]/4 + 5*f[7, 58] - (7*f[7, 59])/12 + f[7, 60]/8 + 
       (3*f[7, 61])/2 - (239*f[7, 62])/96 - (239*f[7, 63])/96 + 
       (239*f[7, 64])/96 + (47*f[7, 65])/2 - (109*f[7, 66])/4 - 
       (139*f[7, 67])/8 - 59*f[7, 68] - (117*f[7, 69])/2 + (119*f[7, 70])/8 - 
       (119*f[7, 71])/8 + (123*f[7, 72])/2 - (237*f[7, 73])/4 - 
       (119*f[7, 74])/2 - (1121*f[7, 75])/96 + (1415*f[7, 76])/16 - 
       (103*f[7, 77])/2 + (117*f[7, 78])/4 - (2371*f[7, 79])/96 - 
       (853*f[7, 80])/96 + (457*f[7, 81])/8 + (5185*f[7, 82])/24 + 
       (477*f[7, 83])/4 + (2275*f[7, 84])/96 - (8143*f[7, 85])/96 - 
       (20395*f[7, 86])/96 - (9787*f[7, 87])/96 + (2315*f[7, 88])/96 - 
       (901*f[7, 89])/96 - (439*f[7, 90])/96 - (331*f[7, 91])/24 - 
       (2773*f[7, 92])/32 - (7339*f[7, 93])/96 - (1003*f[7, 94])/32 - 
       (4249*f[7, 95])/32 + (105*f[7, 96])/16 + (2969*f[7, 97])/48 + 
       (3017*f[7, 98])/48 - (1415*f[7, 99])/24 - (1117*f[7, 100])/3 - 
       (3499*f[7, 101])/96 - (263*f[7, 102])/12 - (203*f[7, 103])/12 + 
       (613*f[7, 104])/96 - (3133*f[7, 105])/96 + (4721*f[7, 106])/24 - 
       (4741*f[7, 107])/24 + (4357*f[7, 108])/96 + (579*f[7, 109])/32 - 
       (359*f[7, 110])/16 - (7483*f[7, 111])/96 + (3239*f[7, 112])/32 + 
       (85*f[7, 113])/24 + (2261*f[7, 114])/96 - (1393*f[7, 115])/96 + 
       (3469*f[7, 116])/96 - (27137*f[7, 117])/24 - (1309*f[7, 118])/48 + 
       (428*f[7, 119])/3 + (2617*f[7, 120])/32 - (1337*f[7, 121])/32 + 
       (12191*f[7, 122])/96 + (1553*f[7, 123])/32 - (1437*f[7, 124])/16 - 
       (5291*f[7, 125])/96 + (481*f[7, 126])/6 + f[7, 133]/2 - f[7, 135]/4 + 
       (9*f[7, 136])/4 + (99*f[7, 137])/2 + (683*f[7, 138])/16 + 
       4*f[7, 144] + f[7, 145] + 6*f[7, 146] + (77*f[7, 147])/8 - 
       72*f[7, 148] - (1447*f[7, 149])/8 - (2777*f[7, 150])/48)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*SPw3f1[u, v] + 
     (2*f[7, 39] + 2*f[7, 40] - 2*f[7, 41] - 2*f[7, 42] - 4*f[7, 43] - 
       2*f[7, 44] - (3*f[7, 47])/2 + (3*f[7, 48])/2 - f[7, 49] + 2*f[7, 50] - 
       f[7, 51] + 2*f[7, 53] - f[7, 54] + 4*f[7, 55] - 5*f[7, 56] + 
       (51*f[7, 57])/4 + 78*f[7, 58] - (187*f[7, 59])/12 - (3*f[7, 60])/8 - 
       (17*f[7, 61])/4 - (899*f[7, 62])/24 - (899*f[7, 63])/24 + 
       (899*f[7, 64])/24 - (411*f[7, 65])/4 + 119*f[7, 66] + 
       (39*f[7, 67])/2 + (477*f[7, 68])/2 + 238*f[7, 69] - 57*f[7, 70] + 
       57*f[7, 71] - (475*f[7, 72])/2 + (477*f[7, 73])/2 + (473*f[7, 74])/2 - 
       (575*f[7, 75])/24 - (659*f[7, 76])/2 + (1977*f[7, 77])/8 - 
       119*f[7, 78] + (737*f[7, 79])/6 + (65*f[7, 80])/24 + 
       (687*f[7, 81])/4 - (2320*f[7, 82])/3 - 477*f[7, 83] - 
       (671*f[7, 84])/6 + (847*f[7, 85])/3 + (17909*f[7, 86])/24 + 
       (8045*f[7, 87])/24 - (643*f[7, 88])/6 + (1853*f[7, 89])/24 + 
       (1031*f[7, 90])/24 - (1283*f[7, 91])/3 + (2803*f[7, 92])/8 + 
       (1463*f[7, 93])/6 - (697*f[7, 94])/8 + 531*f[7, 95] - 
       (553*f[7, 96])/4 - (2251*f[7, 97])/12 - (2251*f[7, 98])/12 + 
       (626*f[7, 99])/3 + (5723*f[7, 100])/3 + (2551*f[7, 101])/12 + 
       (7655*f[7, 102])/24 + (221*f[7, 103])/24 + (4687*f[7, 104])/24 + 
       (475*f[7, 105])/12 - (12041*f[7, 106])/12 + (6563*f[7, 107])/6 - 
       (7229*f[7, 108])/24 - (1621*f[7, 109])/8 + (485*f[7, 110])/8 + 
       (4901*f[7, 111])/24 - (709*f[7, 112])/2 - (1885*f[7, 113])/12 - 
       (1991*f[7, 114])/12 - (3337*f[7, 115])/24 - (895*f[7, 116])/12 + 
       (17162*f[7, 117])/3 - (41*f[7, 118])/6 - (4655*f[7, 119])/6 - 
       (1485*f[7, 120])/4 + (2205*f[7, 121])/8 - (16561*f[7, 122])/24 - 
       (1741*f[7, 123])/8 + (1973*f[7, 124])/4 + (10897*f[7, 125])/24 - 
       (8333*f[7, 126])/24 - f[7, 135]/2 + 35*f[7, 136] - (893*f[7, 137])/4 - 
       (3497*f[7, 138])/16 + 86*f[7, 146] + (79*f[7, 147])/4 + 
       (2373*f[7, 148])/8 + (10787*f[7, 149])/16 + (1983*f[7, 150])/4)*
      HPL[{0, 1, 1}, 1 - u]*SPw3f1[u, v] + 
     (-4*f[7, 24] - f[7, 34] - 2*f[7, 39] - 2*f[7, 40] - 2*f[7, 44] + 
       2*f[7, 45] + 2*f[7, 46] - 3*f[7, 48] - f[7, 49]/2 - 8*f[7, 50] + 
       f[7, 51]/2 - 2*f[7, 52] - 7*f[7, 53] + (3*f[7, 54])/2 - 5*f[7, 55] - 
       f[7, 56]/4 + 3*f[7, 57] - 6*f[7, 58] + (19*f[7, 59])/12 - 
       (3*f[7, 61])/2 + (145*f[7, 62])/48 + (145*f[7, 63])/48 - 
       (145*f[7, 64])/48 - 34*f[7, 65] + 37*f[7, 66] + 26*f[7, 67] + 
       (159*f[7, 68])/2 + 78*f[7, 69] - (41*f[7, 70])/2 + (41*f[7, 71])/2 - 
       (167*f[7, 72])/2 + 79*f[7, 73] + (159*f[7, 74])/2 + 
       (581*f[7, 75])/24 - (481*f[7, 76])/4 + (135*f[7, 77])/2 - 
       38*f[7, 78] + (715*f[7, 79])/24 + (175*f[7, 80])/24 - 
       (407*f[7, 81])/4 - (1771*f[7, 82])/6 - 136*f[7, 83] - 
       (655*f[7, 84])/24 + (2779*f[7, 85])/24 + (6907*f[7, 86])/24 + 
       (3307*f[7, 87])/24 - (659*f[7, 88])/24 + (707*f[7, 89])/48 + 
       (31*f[7, 90])/24 - (91*f[7, 91])/12 + (945*f[7, 92])/8 + 
       (2371*f[7, 93])/24 + 43*f[7, 94] + (1395*f[7, 95])/8 - 
       (47*f[7, 96])/8 - (1681*f[7, 97])/24 - (1729*f[7, 98])/24 + 
       (3793*f[7, 99])/48 + (3035*f[7, 100])/6 + (2363*f[7, 101])/48 + 
       (1457*f[7, 102])/48 + (475*f[7, 103])/24 - (581*f[7, 104])/48 + 
       (497*f[7, 105])/12 - (700*f[7, 106])/3 + (3155*f[7, 107])/12 - 
       (2573*f[7, 108])/48 - (303*f[7, 109])/16 + (465*f[7, 110])/16 + 
       (5201*f[7, 111])/48 - (2039*f[7, 112])/16 - (473*f[7, 113])/48 - 
       (349*f[7, 114])/12 + (104*f[7, 115])/3 - (122*f[7, 116])/3 + 
       (17467*f[7, 117])/12 + (1825*f[7, 118])/48 - (1105*f[7, 119])/6 - 
       (1631*f[7, 120])/16 + (741*f[7, 121])/16 - (6811*f[7, 122])/48 - 
       (901*f[7, 123])/16 + (813*f[7, 124])/8 + (2689*f[7, 125])/48 - 
       (4367*f[7, 126])/48 - f[7, 133] - (9*f[7, 136])/2 - 71*f[7, 137] - 
       (471*f[7, 138])/8 - 8*f[7, 144] - 4*f[7, 145] - 6*f[7, 146] - 
       9*f[7, 147] + (841*f[7, 148])/8 + (467*f[7, 149])/2 + 
       (125*f[7, 150])/3)*HPL[{0, 1, 1}, 1 - v]*SPw3f1[u, v] + 
     (2*f[7, 24] + 2*f[7, 43] + 2*f[7, 44] + f[7, 48]/2 + (3*f[7, 49])/2 + 
       f[7, 51] + (3*f[7, 54])/2 + (3*f[7, 56])/2 - (21*f[7, 57])/8 - 
       10*f[7, 58] + (3*f[7, 59])/2 + (5*f[7, 60])/16 - (5*f[7, 61])/8 + 
       (21*f[7, 62])/4 + (21*f[7, 63])/4 - (21*f[7, 64])/4 + 
       (211*f[7, 65])/8 - (119*f[7, 66])/4 - (75*f[7, 67])/8 - 
       (119*f[7, 68])/2 - (119*f[7, 69])/2 + (119*f[7, 70])/8 - 
       (119*f[7, 71])/8 + 61*f[7, 72] - (119*f[7, 73])/2 - (119*f[7, 74])/2 + 
       f[7, 75]/8 + (1363*f[7, 76])/16 - (979*f[7, 77])/16 + 
       (119*f[7, 78])/4 - (239*f[7, 79])/8 - (43*f[7, 80])/8 - 
       (19*f[7, 81])/2 + (809*f[7, 82])/4 + (247*f[7, 83])/2 + 
       (213*f[7, 84])/8 - (1221*f[7, 85])/16 - (1567*f[7, 86])/8 - 
       (717*f[7, 87])/8 + (209*f[7, 88])/8 - (33*f[7, 89])/2 - 
       (163*f[7, 90])/16 + (199*f[7, 91])/4 - 88*f[7, 92] - 
       (1059*f[7, 93])/16 - (5*f[7, 94])/2 - (1071*f[7, 95])/8 + 
       (213*f[7, 96])/8 + (423*f[7, 97])/8 + (423*f[7, 98])/8 - 
       (433*f[7, 99])/8 - (1799*f[7, 100])/4 - (397*f[7, 101])/8 - 
       (225*f[7, 102])/4 - (33*f[7, 103])/4 - (109*f[7, 104])/4 - 
       (143*f[7, 105])/8 + (471*f[7, 106])/2 - 258*f[7, 107] + 67*f[7, 108] + 
       43*f[7, 109] - (271*f[7, 110])/16 - 61*f[7, 111] + (187*f[7, 112])/2 + 
       (95*f[7, 113])/4 + (287*f[7, 114])/8 + (293*f[7, 115])/16 + 
       (195*f[7, 116])/8 - (5447*f[7, 117])/4 - (141*f[7, 118])/16 + 
       (2895*f[7, 119])/16 + (179*f[7, 120])/2 - (121*f[7, 121])/2 + 
       (629*f[7, 122])/4 + (219*f[7, 123])/4 - (459*f[7, 124])/4 - 
       (189*f[7, 125])/2 + (669*f[7, 126])/8 - f[7, 133]/2 + 
       (3*f[7, 135])/4 - (59*f[7, 136])/4 + 51*f[7, 137] + 
       (793*f[7, 138])/16 + 3*f[7, 145] + 12*f[7, 146] + (103*f[7, 147])/8 - 
       (535*f[7, 148])/8 - (703*f[7, 149])/4 - (2507*f[7, 150])/48)*
      SPw3f1[u, v]^2 + (-f[7, 30]/6 - f[7, 50]/12 - f[7, 53]/12 - 
       f[7, 55]/12 - (17*f[7, 65])/12 + (5*f[7, 66])/3 + (5*f[7, 67])/6 + 
       (43*f[7, 68])/12 + (11*f[7, 69])/3 - (11*f[7, 70])/12 + 
       (11*f[7, 71])/12 - (85*f[7, 72])/24 + (85*f[7, 73])/24 + 
       (85*f[7, 74])/24 + (65*f[7, 75])/192 - (503*f[7, 76])/96 + 
       (9*f[7, 77])/4 - (3*f[7, 78])/2 + (335*f[7, 79])/192 + 
       (21*f[7, 80])/64 - (43*f[7, 81])/16 - (715*f[7, 82])/48 - 
       (17*f[7, 83])/2 - (335*f[7, 84])/192 + (1055*f[7, 85])/192 + 
       (829*f[7, 86])/64 + (1223*f[7, 87])/192 - (335*f[7, 88])/192 + 
       f[7, 89] + (21*f[7, 90])/64 - (7*f[7, 91])/2 + (1121*f[7, 92])/192 + 
       (357*f[7, 93])/64 + (139*f[7, 94])/192 + (541*f[7, 95])/64 - 
       (17*f[7, 96])/24 - (209*f[7, 97])/48 - (209*f[7, 98])/48 + 
       (245*f[7, 99])/64 + (523*f[7, 100])/24 + (143*f[7, 101])/96 + 
       (481*f[7, 102])/192 + (73*f[7, 103])/96 + (49*f[7, 104])/48 + 
       (335*f[7, 105])/192 - (335*f[7, 106])/24 + (119*f[7, 107])/12 - 
       (335*f[7, 108])/96 - (57*f[7, 109])/32 + (109*f[7, 110])/64 + 
       (113*f[7, 111])/24 - (643*f[7, 112])/96 - (209*f[7, 113])/192 - 
       (335*f[7, 114])/192 - (15*f[7, 115])/64 - (125*f[7, 116])/64 + 
       (143*f[7, 117])/2 + (139*f[7, 118])/192 - (437*f[7, 119])/48 - 
       (499*f[7, 120])/96 + (335*f[7, 121])/96 - (937*f[7, 122])/96 - 
       (335*f[7, 123])/96 + (335*f[7, 124])/48 + (247*f[7, 125])/48 - 
       (1045*f[7, 126])/192 + f[7, 132]/15 - f[7, 134]/15 + 
       (3*f[7, 135])/10 - (193*f[7, 136])/60 + (1483*f[7, 137])/120 + 
       (1709*f[7, 138])/240 - (2*f[7, 144])/15 - f[7, 145]/3 + 
       (124*f[7, 146])/15 + (449*f[7, 147])/120 + (2317*f[7, 148])/120 + 
       (8403*f[7, 149])/160 + (9817*f[7, 150])/360)*HPL[{1}, 1 - u]^3*
      SPw3f1[v, u] + (-f[7, 132]/10 + f[7, 134]/10 - (9*f[7, 135])/20 + 
       (173*f[7, 136])/40 - (2643*f[7, 137])/80 - (9043*f[7, 138])/320 + 
       f[7, 144]/5 + f[7, 145]/2 - (193*f[7, 146])/20 - (239*f[7, 147])/80 - 
       (5689*f[7, 148])/160 - (27669*f[7, 149])/320 - (4539*f[7, 150])/80)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*SPw3f1[v, u] + 
     (-f[7, 50]/3 - f[7, 53]/3 + f[7, 65]/4 - f[7, 66]/4 - f[7, 67]/8 - 
       f[7, 68]/2 - f[7, 69]/2 + f[7, 70]/8 - f[7, 71]/8 + f[7, 72]/2 - 
       f[7, 73]/2 - f[7, 74]/2 - (3*f[7, 75])/32 + (7*f[7, 76])/12 - 
       (5*f[7, 77])/24 + f[7, 78]/6 - (19*f[7, 79])/96 - f[7, 80]/32 + 
       (13*f[7, 81])/24 + (53*f[7, 82])/24 + (7*f[7, 83])/6 + 
       (19*f[7, 84])/96 - (25*f[7, 85])/32 - (155*f[7, 86])/96 - 
       (25*f[7, 87])/32 + (19*f[7, 88])/96 - f[7, 89]/6 - f[7, 90]/32 + 
       (5*f[7, 91])/6 - (25*f[7, 92])/32 - (79*f[7, 93])/96 - 
       (5*f[7, 94])/96 - (103*f[7, 95])/96 + f[7, 96]/12 + f[7, 97]/2 + 
       f[7, 98]/2 - (47*f[7, 99])/96 - (8*f[7, 100])/3 - f[7, 101]/8 - 
       (37*f[7, 102])/96 - f[7, 103]/12 - (7*f[7, 104])/48 - 
       (19*f[7, 105])/96 + (19*f[7, 106])/12 - (5*f[7, 107])/6 + 
       (19*f[7, 108])/48 + (13*f[7, 109])/48 - (9*f[7, 110])/32 - 
       (17*f[7, 111])/24 + (13*f[7, 112])/16 + (13*f[7, 113])/96 + 
       (19*f[7, 114])/96 - (7*f[7, 115])/96 + (5*f[7, 116])/32 - 
       (17*f[7, 117])/2 - (5*f[7, 118])/96 + (17*f[7, 119])/16 + 
       (9*f[7, 120])/16 - (19*f[7, 121])/48 + (17*f[7, 122])/16 + 
       (19*f[7, 123])/48 - (19*f[7, 124])/24 - (13*f[7, 125])/24 + 
       (53*f[7, 126])/96 + f[7, 132]/30 - f[7, 134]/30 + (3*f[7, 135])/20 - 
       (111*f[7, 136])/40 + (1103*f[7, 137])/240 + (2623*f[7, 138])/960 - 
       f[7, 144]/15 + f[7, 145]/2 + (353*f[7, 146])/60 + 
       (899*f[7, 147])/240 + (2519*f[7, 148])/480 + (3323*f[7, 149])/320 + 
       (892*f[7, 150])/45)*HPL[{1}, 1 - v]^3*SPw3f1[v, u] + 
     (f[7, 36] - f[7, 48] + f[7, 54]/2 + f[7, 56]/2 + (15*f[7, 57])/8 - 
       f[7, 58] - 2*f[7, 59] + (13*f[7, 60])/16 - f[7, 61]/8 + 
       (7*f[7, 62])/16 + (7*f[7, 63])/16 - (7*f[7, 64])/16 - 
       (43*f[7, 65])/8 + 5*f[7, 66] + 3*f[7, 67] + 9*f[7, 68] + 10*f[7, 69] - 
       3*f[7, 70] + 3*f[7, 71] - 10*f[7, 72] + (19*f[7, 73])/2 + 
       10*f[7, 74] + (13*f[7, 75])/4 - (209*f[7, 76])/16 + 
       (111*f[7, 77])/16 - (23*f[7, 78])/4 + (21*f[7, 79])/8 + f[7, 80]/8 - 
       (27*f[7, 81])/2 - (157*f[7, 82])/4 - (35*f[7, 83])/2 - 
       (27*f[7, 84])/8 + (243*f[7, 85])/16 + (285*f[7, 86])/8 + 
       (133*f[7, 87])/8 - (23*f[7, 88])/8 + (25*f[7, 89])/16 + 
       (21*f[7, 90])/16 + f[7, 91] + (29*f[7, 92])/2 + (205*f[7, 93])/16 + 
       (17*f[7, 94])/4 + 23*f[7, 95] - f[7, 96]/2 - 9*f[7, 97] - 9*f[7, 98] + 
       (153*f[7, 99])/16 + (221*f[7, 100])/4 + (71*f[7, 101])/16 + 
       (63*f[7, 102])/16 + 4*f[7, 103] - (41*f[7, 104])/16 + 5*f[7, 105] - 
       (97*f[7, 106])/4 + (107*f[7, 107])/4 - (51*f[7, 108])/16 + 
       (19*f[7, 109])/16 + (57*f[7, 110])/8 + (241*f[7, 111])/16 - 
       (263*f[7, 112])/16 - (27*f[7, 113])/16 - (3*f[7, 114])/2 + 
       (93*f[7, 115])/16 - (45*f[7, 116])/8 + (321*f[7, 117])/2 + 
       (11*f[7, 118])/2 - (299*f[7, 119])/16 - (153*f[7, 120])/16 + 
       (77*f[7, 121])/16 - (247*f[7, 122])/16 - (85*f[7, 123])/16 + 
       (85*f[7, 124])/8 + (55*f[7, 125])/16 - (167*f[7, 126])/16 + 
       f[7, 133]/2 - f[7, 135]/4 + (9*f[7, 136])/4 + (99*f[7, 137])/2 + 
       (683*f[7, 138])/16 - 4*f[7, 144] - f[7, 145] - 6*f[7, 146] - 
       (77*f[7, 147])/8 + 72*f[7, 148] + (1447*f[7, 149])/8 + 
       (2777*f[7, 150])/48)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*SPw3f1[v, u] + 
     (-f[7, 47]/2 - f[7, 48] + 2*f[7, 50] - f[7, 52] + 2*f[7, 53] + 
       f[7, 54]/2 + 4*f[7, 55] + f[7, 56]/8 + (75*f[7, 57])/16 + 
       29*f[7, 58] - (31*f[7, 59])/12 + (49*f[7, 60])/32 - f[7, 61]/16 - 
       (601*f[7, 62])/48 - (601*f[7, 63])/48 + (601*f[7, 64])/48 - 
       (233*f[7, 65])/16 + (133*f[7, 66])/8 - (115*f[7, 67])/16 + 
       (105*f[7, 68])/4 + (109*f[7, 69])/4 - (101*f[7, 70])/16 + 
       (101*f[7, 71])/16 - (97*f[7, 72])/4 + (111*f[7, 73])/4 + 
       (105*f[7, 74])/4 - (679*f[7, 75])/48 - (1009*f[7, 76])/32 + 
       (1033*f[7, 77])/32 - (119*f[7, 78])/8 + (967*f[7, 79])/48 - 
       (209*f[7, 80])/48 + (415*f[7, 81])/4 - (1637*f[7, 82])/24 - 
       (245*f[7, 83])/4 - (709*f[7, 84])/48 + (1901*f[7, 85])/96 + 
       (2905*f[7, 86])/48 + (1093*f[7, 87])/48 - (617*f[7, 88])/48 + 
       (823*f[7, 89])/48 + (1091*f[7, 90])/96 - (3277*f[7, 91])/24 + 
       (165*f[7, 92])/4 + (1355*f[7, 93])/96 - (791*f[7, 94])/16 + 
       (875*f[7, 95])/16 - (565*f[7, 96])/16 - (325*f[7, 97])/48 - 
       (325*f[7, 98])/48 + (403*f[7, 99])/24 + (6871*f[7, 100])/24 + 
       (839*f[7, 101])/24 + (967*f[7, 102])/12 - (295*f[7, 103])/24 + 
       (1603*f[7, 104])/24 - (425*f[7, 105])/48 - (925*f[7, 106])/6 + 
       (2011*f[7, 107])/12 - (2683*f[7, 108])/48 - (823*f[7, 109])/16 + 
       (175*f[7, 110])/32 + (109*f[7, 111])/48 - (411*f[7, 112])/16 - 
       (959*f[7, 113])/24 - (1595*f[7, 114])/48 - (5137*f[7, 115])/96 + 
       (401*f[7, 116])/48 + (20077*f[7, 117])/24 - (2243*f[7, 118])/96 - 
       (11711*f[7, 119])/96 - (811*f[7, 120])/16 + (753*f[7, 121])/16 - 
       (4913*f[7, 122])/48 - (447*f[7, 123])/16 + (149*f[7, 124])/2 + 
       (4199*f[7, 125])/48 - (463*f[7, 126])/12 - f[7, 135] + 20*f[7, 136] - 
       (379*f[7, 137])/4 - (1425*f[7, 138])/16 + 2*f[7, 145] + 15*f[7, 146] + 
       12*f[7, 147] - (337*f[7, 148])/8 - (1865*f[7, 149])/16 - 
       (563*f[7, 150])/24)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*SPw3f1[v, u] + 
     (-f[7, 133]/2 - f[7, 135]/4 + (3*f[7, 136])/4 - (223*f[7, 137])/4 - 
       (203*f[7, 138])/4 + f[7, 145] - 2*f[7, 146] + (39*f[7, 147])/8 - 
       59*f[7, 148] - (2347*f[7, 149])/16 - (965*f[7, 150])/16)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*SPw3f1[v, u] + 
     (f[7, 135]/2 - 19*f[7, 136] + (231*f[7, 137])/2 + (451*f[7, 138])/4 + 
       39*f[7, 146] + (37*f[7, 147])/4 + 136*f[7, 148] + (2447*f[7, 149])/8 + 
       (2531*f[7, 150])/12)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*SPw3f1[v, u] + 
     (-2*f[7, 36] - 2*f[7, 43] - 2*f[7, 44] + 2*f[7, 45] + 2*f[7, 46] - 
       f[7, 47]/2 + f[7, 48] - 2*f[7, 49] - f[7, 51]/2 - 2*f[7, 52] + 
       f[7, 53] - (3*f[7, 54])/2 + 3*f[7, 55] + (3*f[7, 56])/4 - 2*f[7, 57] - 
       f[7, 59] - (3*f[7, 60])/2 + (9*f[7, 61])/2 + (7*f[7, 62])/2 + 
       (7*f[7, 63])/2 - (7*f[7, 64])/2 + (35*f[7, 65])/2 - (11*f[7, 66])/2 - 
       (11*f[7, 67])/4 - (25*f[7, 68])/2 - 15*f[7, 69] + (25*f[7, 70])/4 - 
       (25*f[7, 71])/4 + 14*f[7, 72] - (27*f[7, 73])/2 - (27*f[7, 74])/2 - 
       (93*f[7, 75])/8 + (51*f[7, 76])/4 - 6*f[7, 77] + 4*f[7, 78] + 
       (7*f[7, 79])/4 + (39*f[7, 80])/8 + (85*f[7, 81])/2 + (77*f[7, 82])/2 + 
       (25*f[7, 83])/2 + (3*f[7, 84])/4 - (125*f[7, 85])/8 - 
       (361*f[7, 86])/8 - (157*f[7, 87])/8 - (7*f[7, 88])/4 - 
       (31*f[7, 89])/4 + (19*f[7, 90])/4 + 24*f[7, 91] - (41*f[7, 92])/4 - 
       (29*f[7, 93])/2 + (53*f[7, 94])/8 - (115*f[7, 95])/4 + 
       (11*f[7, 96])/2 - 2*f[7, 98] - (113*f[7, 99])/8 - (169*f[7, 100])/2 - 
       (43*f[7, 101])/8 - 15*f[7, 102] + (13*f[7, 103])/8 + (9*f[7, 105])/2 - 
       44*f[7, 107] + 4*f[7, 108] - f[7, 109]/2 - (7*f[7, 110])/4 - 
       (79*f[7, 111])/4 + (89*f[7, 112])/8 + (51*f[7, 113])/4 + 
       (19*f[7, 114])/4 - (113*f[7, 115])/8 - (19*f[7, 116])/4 - 
       197*f[7, 117] + (7*f[7, 118])/8 + (241*f[7, 119])/8 + 
       (15*f[7, 120])/4 - f[7, 121] - 2*f[7, 122] - (5*f[7, 123])/2 - 
       f[7, 124]/2 + (5*f[7, 125])/2 - (21*f[7, 126])/4 - f[7, 133] - 
       (9*f[7, 136])/2 - 71*f[7, 137] - (471*f[7, 138])/8 + 8*f[7, 144] + 
       4*f[7, 145] + 6*f[7, 146] + 9*f[7, 147] - (841*f[7, 148])/8 - 
       (467*f[7, 149])/2 - (125*f[7, 150])/3)*HPL[{0, 1, 1}, 1 - u]*
      SPw3f1[v, u] + (2*f[7, 43] + 2*f[7, 44] + 2*f[7, 45] + 2*f[7, 46] + 
       f[7, 48] + f[7, 49] - 4*f[7, 50] + (3*f[7, 51])/2 + f[7, 52] - 
       3*f[7, 53] + (5*f[7, 54])/2 - f[7, 55] + (5*f[7, 56])/8 - 
       (9*f[7, 57])/16 - 8*f[7, 58] + (29*f[7, 59])/12 - (11*f[7, 60])/32 - 
       (69*f[7, 61])/16 + (14*f[7, 62])/3 + (14*f[7, 63])/3 - 
       (14*f[7, 64])/3 + (43*f[7, 65])/16 - (51*f[7, 66])/8 + 
       (77*f[7, 67])/16 - (59*f[7, 68])/4 - (59*f[7, 69])/4 + 
       (51*f[7, 70])/16 - (51*f[7, 71])/16 + (57*f[7, 72])/4 - 
       (55*f[7, 73])/4 - (59*f[7, 74])/4 + (137*f[7, 75])/12 + 
       (623*f[7, 76])/32 - (651*f[7, 77])/32 + (67*f[7, 78])/8 - 
       (289*f[7, 79])/24 - (13*f[7, 80])/6 - (75*f[7, 81])/2 + 
       (1129*f[7, 82])/24 + (199*f[7, 83])/4 + (125*f[7, 84])/12 - 
       (1549*f[7, 85])/96 - (1027*f[7, 86])/24 - (439*f[7, 87])/24 + 
       (65*f[7, 88])/6 - (109*f[7, 89])/24 - (619*f[7, 90])/96 + 
       (953*f[7, 91])/24 - (393*f[7, 92])/16 - (1615*f[7, 93])/96 + 
       (123*f[7, 94])/8 - 39*f[7, 95] + (253*f[7, 96])/16 + 
       (761*f[7, 97])/48 + (665*f[7, 98])/48 - (287*f[7, 99])/24 - 
       (3461*f[7, 100])/24 - (881*f[7, 101])/48 - (757*f[7, 102])/24 - 
       (13*f[7, 103])/24 - (1279*f[7, 104])/48 - f[7, 105]/6 + 
       (1165*f[7, 106])/12 - (547*f[7, 107])/6 + (733*f[7, 108])/24 + 
       (45*f[7, 109])/2 - (169*f[7, 110])/32 - (151*f[7, 111])/24 + 
       (217*f[7, 112])/8 + (331*f[7, 113])/24 + (95*f[7, 114])/6 + 
       (2429*f[7, 115])/96 + (101*f[7, 116])/12 - (11369*f[7, 117])/24 + 
       (733*f[7, 118])/96 + (6133*f[7, 119])/96 + (229*f[7, 120])/8 - 
       29*f[7, 121] + (1715*f[7, 122])/24 + (171*f[7, 123])/8 - 
       (411*f[7, 124])/8 - (311*f[7, 125])/6 + (847*f[7, 126])/24 - 
       f[7, 135]/2 + 35*f[7, 136] - (893*f[7, 137])/4 - (3497*f[7, 138])/16 - 
       86*f[7, 146] - (79*f[7, 147])/4 - (2373*f[7, 148])/8 - 
       (10787*f[7, 149])/16 - (1983*f[7, 150])/4)*HPL[{0, 1, 1}, 1 - v]*
      SPw3f1[v, u] + (f[7, 34] - 2*f[7, 45] - 2*f[7, 46] - f[7, 47]/2 + 
       (3*f[7, 48])/2 + f[7, 49]/2 + 4*f[7, 50] - f[7, 51]/2 + 2*f[7, 52] + 
       3*f[7, 53] - (3*f[7, 54])/2 + 7*f[7, 55] + f[7, 56]/2 - 
       (5*f[7, 57])/8 - 4*f[7, 58] + f[7, 59] + f[7, 60]/16 + 
       (11*f[7, 61])/8 + (21*f[7, 62])/16 + (21*f[7, 63])/16 - 
       (21*f[7, 64])/16 + (343*f[7, 65])/8 - (203*f[7, 66])/4 - 
       (207*f[7, 67])/8 - (221*f[7, 68])/2 - (219*f[7, 69])/2 + 
       (223*f[7, 70])/8 - (223*f[7, 71])/8 + (231*f[7, 72])/2 - 
       111*f[7, 73] - (223*f[7, 74])/2 - (237*f[7, 75])/16 + 
       (2613*f[7, 76])/16 - (1631*f[7, 77])/16 + (219*f[7, 78])/4 - 
       (759*f[7, 79])/16 - (173*f[7, 80])/16 + (263*f[7, 81])/4 + 
       387*f[7, 82] + 209*f[7, 83] + (707*f[7, 84])/16 - (1201*f[7, 85])/8 - 
       (6151*f[7, 86])/16 - (2891*f[7, 87])/16 + (723*f[7, 88])/16 - 
       (353*f[7, 89])/16 - (33*f[7, 90])/4 + 48*f[7, 91] - 
       (2577*f[7, 92])/16 - 131*f[7, 93] - (489*f[7, 94])/16 - 
       (3935*f[7, 95])/16 + (99*f[7, 96])/4 + 103*f[7, 97] + 105*f[7, 98] - 
       106*f[7, 99] - (3011*f[7, 100])/4 - (1233*f[7, 101])/16 - 
       71*f[7, 102] - (93*f[7, 103])/4 - (241*f[7, 104])/16 - 
       (765*f[7, 105])/16 + (1535*f[7, 106])/4 - (1633*f[7, 107])/4 + 
       (1565*f[7, 108])/16 + (737*f[7, 109])/16 - (575*f[7, 110])/16 - 
       (2095*f[7, 111])/16 + (2869*f[7, 112])/16 + (55*f[7, 113])/2 + 
       (829*f[7, 114])/16 - (73*f[7, 115])/8 + (933*f[7, 116])/16 - 
       2236*f[7, 117] - (579*f[7, 118])/16 + (4611*f[7, 119])/16 + 
       (2459*f[7, 120])/16 - (1415*f[7, 121])/16 + (4027*f[7, 122])/16 + 
       (1451*f[7, 123])/16 - (1425*f[7, 124])/8 - (2047*f[7, 125])/16 + 
       150*f[7, 126] + 2*f[7, 133] + f[7, 135] - 3*f[7, 136] + 
       223*f[7, 137] + 203*f[7, 138])*SPw3f1[u, v]*SPw3f1[v, u] + 
     (-f[7, 34]/2 - f[7, 45] - f[7, 46] + (3*f[7, 47])/4 + f[7, 48]/4 + 
       f[7, 49]/4 - 2*f[7, 50] - f[7, 51]/4 - (5*f[7, 53])/2 - 
       (3*f[7, 54])/4 - (9*f[7, 55])/2 - (11*f[7, 56])/8 - (35*f[7, 57])/8 - 
       22*f[7, 58] + (23*f[7, 59])/6 - (17*f[7, 60])/16 - (5*f[7, 61])/8 + 
       (749*f[7, 62])/96 + (749*f[7, 63])/96 - (749*f[7, 64])/96 + 
       f[7, 65]/8 - (5*f[7, 66])/4 + (89*f[7, 67])/8 + 7*f[7, 68] + 
       (11*f[7, 69])/2 - (13*f[7, 70])/8 + (13*f[7, 71])/8 - 
       (17*f[7, 72])/2 + (21*f[7, 73])/4 + (13*f[7, 74])/2 + 
       (1511*f[7, 75])/96 - (59*f[7, 76])/4 + (11*f[7, 77])/16 - 
       (3*f[7, 78])/2 - (419*f[7, 79])/96 + (679*f[7, 80])/96 - 
       (825*f[7, 81])/8 - (1021*f[7, 82])/24 - (37*f[7, 83])/4 + 
       (107*f[7, 84])/96 + (2071*f[7, 85])/96 + (4513*f[7, 86])/96 + 
       (2485*f[7, 87])/96 - (29*f[7, 88])/96 - (629*f[7, 89])/96 - 
       (737*f[7, 90])/96 + (2023*f[7, 91])/24 + (199*f[7, 92])/32 + 
       (2179*f[7, 93])/96 + (1317*f[7, 94])/32 + (571*f[7, 95])/32 + 
       (301*f[7, 96])/16 - (881*f[7, 97])/48 - (833*f[7, 98])/48 + 
       (175*f[7, 99])/12 - (323*f[7, 100])/12 - (647*f[7, 101])/96 - 
       (245*f[7, 102])/6 + (79*f[7, 103])/6 - (4315*f[7, 104])/96 + 
       (1555*f[7, 105])/96 + (607*f[7, 106])/24 - (461*f[7, 107])/24 + 
       (1505*f[7, 108])/96 + (739*f[7, 109])/32 + (13*f[7, 110])/4 + 
       (2941*f[7, 111])/96 - (697*f[7, 112])/32 + (581*f[7, 113])/24 + 
       (925*f[7, 114])/96 + (4105*f[7, 115])/96 - (1627*f[7, 116])/96 - 
       (1759*f[7, 117])/24 + (277*f[7, 118])/12 + (931*f[7, 119])/48 + 
       (73*f[7, 120])/32 - (485*f[7, 121])/32 + (2023*f[7, 122])/96 + 
       (13*f[7, 123])/32 - (233*f[7, 124])/16 - (3463*f[7, 125])/96 - 
       (49*f[7, 126])/24 - f[7, 133]/2 + (3*f[7, 135])/4 - (59*f[7, 136])/4 + 
       51*f[7, 137] + (793*f[7, 138])/16 - 3*f[7, 145] - 12*f[7, 146] - 
       (103*f[7, 147])/8 + (535*f[7, 148])/8 + (703*f[7, 149])/4 + 
       (2507*f[7, 150])/48)*SPw3f1[v, u]^2 + 
     (-f[7, 4]/6 - f[7, 12]/6 + (5*f[7, 19])/24 + f[7, 20]/4 - 
       (3*f[7, 131])/2 + f[7, 141]/2 + f[7, 142]/2 + f[7, 143]/4)*
      HPL[{1}, 1 - u]^3*SPw3f2[u, v] + (-3*f[7, 131] - f[7, 143]/2)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*SPw3f2[u, v] + 
     (-f[7, 131] + (5*f[7, 143])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
      SPw3f2[u, v] + (-f[7, 131]/2 - f[7, 141]/2 - f[7, 142]/6 + 
       (2*f[7, 143])/3)*HPL[{1}, 1 - v]^3*SPw3f2[u, v] + 
     (f[7, 30]/4 + (11*f[7, 65])/2 - (9*f[7, 66])/2 - (9*f[7, 67])/4 - 
       9*f[7, 68] - 10*f[7, 69] + (9*f[7, 70])/4 - (9*f[7, 71])/4 + 
       9*f[7, 72] - 9*f[7, 73] - 9*f[7, 74] - (15*f[7, 75])/16 + 
       13*f[7, 76] - (43*f[7, 77])/4 + (11*f[7, 78])/2 - 4*f[7, 79] - 
       (13*f[7, 80])/8 + (19*f[7, 81])/4 + (119*f[7, 82])/4 + 
       (71*f[7, 83])/4 + 4*f[7, 84] - (191*f[7, 85])/16 - (493*f[7, 86])/16 - 
       (221*f[7, 87])/16 + 4*f[7, 88] - (13*f[7, 89])/8 - (13*f[7, 90])/8 - 
       6*f[7, 91] - (195*f[7, 92])/16 - (165*f[7, 93])/16 - (9*f[7, 94])/2 - 
       (167*f[7, 95])/8 + (7*f[7, 96])/2 + 8*f[7, 97] + 8*f[7, 98] - 
       (143*f[7, 99])/16 - 67*f[7, 100] - (67*f[7, 101])/8 - 
       (75*f[7, 102])/16 - (19*f[7, 103])/8 + f[7, 104]/2 - 4*f[7, 105] + 
       32*f[7, 106] - 41*f[7, 107] + 8*f[7, 108] + (19*f[7, 109])/4 - 
       (21*f[7, 110])/16 - (93*f[7, 111])/8 + (247*f[7, 112])/16 + 
       (3*f[7, 113])/4 + 4*f[7, 114] - f[7, 115]/2 + (39*f[7, 116])/8 - 
       198*f[7, 117] - (9*f[7, 118])/2 + (211*f[7, 119])/8 + 
       (113*f[7, 120])/8 - 8*f[7, 121] + (89*f[7, 122])/4 + 8*f[7, 123] - 
       16*f[7, 124] - (47*f[7, 125])/4 + (103*f[7, 126])/8 + 9*f[7, 137] + 
       (121*f[7, 138])/16 + f[7, 147]/2 - (147*f[7, 148])/16 - 23*f[7, 149] - 
       (177*f[7, 150])/16)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*SPw3f2[u, v] + 
     ((-5*f[7, 137])/2 - (29*f[7, 138])/16 + f[7, 147]/2 - 
       (27*f[7, 148])/16 - (15*f[7, 149])/4 + (3*f[7, 150])/16)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*SPw3f2[u, v] + 
     (3*f[7, 65] - (5*f[7, 66])/2 - (5*f[7, 67])/4 - (19*f[7, 68])/4 - 
       5*f[7, 69] + (5*f[7, 70])/4 - (5*f[7, 71])/4 + (19*f[7, 72])/4 - 
       (19*f[7, 73])/4 - (19*f[7, 74])/4 + f[7, 75]/4 + (105*f[7, 76])/16 - 
       (19*f[7, 77])/4 + (5*f[7, 78])/2 - (41*f[7, 79])/16 - 
       (21*f[7, 80])/16 - f[7, 81] + (69*f[7, 82])/4 + (53*f[7, 83])/4 + 
       (41*f[7, 84])/16 - (53*f[7, 85])/8 - (63*f[7, 86])/4 - 
       (59*f[7, 87])/8 + (41*f[7, 88])/16 - (5*f[7, 89])/4 - 
       (21*f[7, 90])/16 - (5*f[7, 91])/2 - (109*f[7, 92])/16 - 
       (25*f[7, 93])/4 - (13*f[7, 94])/8 - (175*f[7, 95])/16 + 
       (7*f[7, 96])/4 + (39*f[7, 97])/8 + (39*f[7, 98])/8 - (39*f[7, 99])/8 - 
       (133*f[7, 100])/4 - (57*f[7, 101])/16 - (25*f[7, 102])/8 - 
       (19*f[7, 103])/16 - (15*f[7, 104])/16 - (41*f[7, 105])/16 + 
       (41*f[7, 106])/2 - 18*f[7, 107] + (41*f[7, 108])/8 + 
       (29*f[7, 109])/8 - (11*f[7, 110])/8 - (45*f[7, 111])/8 + 
       (139*f[7, 112])/16 - f[7, 113]/16 + (41*f[7, 114])/16 + 
       (29*f[7, 115])/16 + (45*f[7, 116])/16 - (215*f[7, 117])/2 - 
       (13*f[7, 118])/8 + (227*f[7, 119])/16 + (65*f[7, 120])/8 - 
       (41*f[7, 121])/8 + (115*f[7, 122])/8 + (41*f[7, 123])/8 - 
       (41*f[7, 124])/4 - 8*f[7, 125] + (127*f[7, 126])/16 + 4*f[7, 137] + 
       (7*f[7, 138])/2 - (73*f[7, 148])/16 - 12*f[7, 149] - 
       (127*f[7, 150])/16)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*SPw3f2[u, v] + 
     ((5*f[7, 137])/2 + (11*f[7, 138])/4 + f[7, 147]/4 + (31*f[7, 148])/8 + 
       (37*f[7, 149])/4 + (11*f[7, 150])/2)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - v]*SPw3f2[u, v] + 
     (f[7, 133] - f[7, 134] + (15*f[7, 136])/2 + (363*f[7, 137])/4 + 
       (631*f[7, 138])/8 - 4*f[7, 145] - 16*f[7, 146] - (35*f[7, 147])/2 + 
       (1459*f[7, 148])/16 + (3765*f[7, 149])/16 + (3373*f[7, 150])/48)*
      HPL[{0, 0, 1}, 1 - u]*SPw3f2[u, v] + 
     (-f[7, 137] - (19*f[7, 138])/8 + 2*f[7, 145] + f[7, 147]/4 - 
       (35*f[7, 148])/16 - (7*f[7, 149])/2 + (53*f[7, 150])/16)*
      HPL[{0, 1, 1}, 1 - u]*SPw3f2[u, v] + 
     (-f[7, 137] + (3*f[7, 138])/8 - 2*f[7, 145] - (5*f[7, 147])/4 - 
       (43*f[7, 148])/16 + 4*f[7, 149] - (223*f[7, 150])/16)*
      HPL[{0, 1, 1}, 1 - v]*SPw3f2[u, v] + 
     (-4*f[7, 130] + 2*f[7, 131] - 2*f[7, 142] - 5*f[7, 143])*HPL[{1}, 1 - u]*
      SPw2f1[u, v]*SPw3f2[u, v] + (6*f[7, 131] + 2*f[7, 142] + 4*f[7, 143])*
      SPw3f2[u, v]^2 + (f[7, 4]/6 - f[7, 12]/4 + f[7, 16]/3 - f[7, 17]/3 + 
       f[7, 19]/8 + f[7, 20]/6 - f[7, 131]/2 + f[7, 141]/2 + f[7, 142]/6 - 
       (2*f[7, 143])/3)*HPL[{1}, 1 - u]^3*SPw3f2[v, u] + 
     (-f[7, 131] - (5*f[7, 143])/4)*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
      SPw3f2[v, u] + (f[7, 19]/4 + f[7, 20]/2 - 3*f[7, 131] + f[7, 143]/2)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*SPw3f2[v, u] + 
     ((-3*f[7, 131])/2 - f[7, 141]/2 - f[7, 142]/2 - f[7, 143]/4)*
      HPL[{1}, 1 - v]^3*SPw3f2[v, u] + (f[7, 55]/2 + (5*f[7, 65])/4 - 
       (3*f[7, 66])/4 - (3*f[7, 67])/8 - (13*f[7, 68])/4 - (7*f[7, 69])/2 + 
       f[7, 70]/8 - f[7, 71]/8 + (11*f[7, 72])/4 - (11*f[7, 73])/4 - 
       (11*f[7, 74])/4 + (11*f[7, 75])/32 + (75*f[7, 76])/16 - 
       (19*f[7, 77])/8 + (7*f[7, 78])/4 - (55*f[7, 79])/32 - 
       (15*f[7, 80])/32 - (3*f[7, 81])/8 + (71*f[7, 82])/8 + f[7, 83]/2 + 
       (55*f[7, 84])/32 - (115*f[7, 85])/32 - (351*f[7, 86])/32 - 
       (175*f[7, 87])/32 + (55*f[7, 88])/32 - f[7, 89]/2 - (15*f[7, 90])/32 + 
       6*f[7, 91] - (201*f[7, 92])/32 - (51*f[7, 93])/32 - (19*f[7, 94])/32 - 
       (235*f[7, 95])/32 + (3*f[7, 96])/4 + (21*f[7, 97])/8 + 
       (21*f[7, 98])/8 - (99*f[7, 99])/32 - (75*f[7, 100])/4 - 
       (29*f[7, 101])/16 - (69*f[7, 102])/32 - (9*f[7, 103])/16 - 
       (9*f[7, 104])/8 - (55*f[7, 105])/32 + (55*f[7, 106])/4 - 
       (25*f[7, 107])/2 + (55*f[7, 108])/16 + (21*f[7, 109])/16 - 
       (39*f[7, 110])/32 - (23*f[7, 111])/8 + (95*f[7, 112])/16 + 
       (25*f[7, 113])/32 + (55*f[7, 114])/32 + (45*f[7, 115])/32 + 
       (83*f[7, 116])/32 - 65*f[7, 117] - (19*f[7, 118])/32 + 
       (71*f[7, 119])/8 + (83*f[7, 120])/16 - (55*f[7, 121])/16 + 
       (163*f[7, 122])/16 + (55*f[7, 123])/16 - (55*f[7, 124])/8 - 
       (45*f[7, 125])/8 + (193*f[7, 126])/32 + (5*f[7, 137])/2 + 
       (11*f[7, 138])/4 - f[7, 147]/4 - (31*f[7, 148])/8 - (37*f[7, 149])/4 - 
       (11*f[7, 150])/2)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*SPw3f2[v, u] + 
     (4*f[7, 137] + (7*f[7, 138])/2 + (73*f[7, 148])/16 + 12*f[7, 149] + 
       (127*f[7, 150])/16)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*SPw3f2[v, u] + 
     ((-3*f[7, 65])/4 + (3*f[7, 66])/4 + (3*f[7, 67])/8 + (3*f[7, 68])/2 + 
       (3*f[7, 69])/2 - (3*f[7, 70])/8 + (3*f[7, 71])/8 - (3*f[7, 72])/2 + 
       (3*f[7, 73])/2 + (3*f[7, 74])/2 + (15*f[7, 75])/16 - (15*f[7, 76])/8 + 
       (9*f[7, 77])/8 - (3*f[7, 78])/4 + f[7, 79]/4 - f[7, 80]/8 - 
       (17*f[7, 81])/4 - (21*f[7, 82])/4 - (9*f[7, 83])/4 - f[7, 84]/4 + 
       (35*f[7, 85])/16 + (87*f[7, 86])/16 + (35*f[7, 87])/16 - f[7, 88]/4 + 
       (3*f[7, 89])/8 - f[7, 90]/8 + f[7, 91]/2 + (27*f[7, 92])/16 + 
       (37*f[7, 93])/16 + (7*f[7, 94])/8 + (7*f[7, 95])/2 - (3*f[7, 96])/8 - 
       (3*f[7, 97])/2 - (3*f[7, 98])/2 + (23*f[7, 99])/16 + 9*f[7, 100] + 
       (3*f[7, 101])/4 + (13*f[7, 102])/16 + (3*f[7, 103])/8 - 
       (5*f[7, 104])/8 + f[7, 105]/4 - 2*f[7, 106] + (9*f[7, 107])/2 - 
       f[7, 108]/2 - f[7, 109]/8 + (7*f[7, 110])/16 + (11*f[7, 111])/4 - 
       (33*f[7, 112])/16 - f[7, 113]/2 - f[7, 114]/4 + 2*f[7, 115] - 
       f[7, 116]/4 + 22*f[7, 117] + (7*f[7, 118])/8 - (11*f[7, 119])/4 - 
       (5*f[7, 120])/4 + f[7, 121]/2 - (9*f[7, 122])/8 - f[7, 123]/2 + 
       f[7, 124] + f[7, 125]/4 - (3*f[7, 126])/4 - (5*f[7, 137])/2 - 
       (29*f[7, 138])/16 - f[7, 147]/2 + (27*f[7, 148])/16 + 
       (15*f[7, 149])/4 - (3*f[7, 150])/16)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*SPw3f2[v, u] + (9*f[7, 137] + (121*f[7, 138])/16 - 
       f[7, 147]/2 + (147*f[7, 148])/16 + 23*f[7, 149] + (177*f[7, 150])/16)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*SPw3f2[v, u] + 
     (f[7, 34] - f[7, 47] + 4*f[7, 50] + f[7, 52] + 4*f[7, 53] + 8*f[7, 55] + 
       (9*f[7, 56])/8 + (33*f[7, 57])/16 + 16*f[7, 58] - (29*f[7, 59])/12 + 
       (19*f[7, 60])/32 + (5*f[7, 61])/16 - (281*f[7, 62])/48 - 
       (281*f[7, 63])/48 + (281*f[7, 64])/48 + (505*f[7, 65])/16 - 
       (299*f[7, 66])/8 - (459*f[7, 67])/16 - (359*f[7, 68])/4 - 
       (347*f[7, 69])/4 + (355*f[7, 70])/16 - (355*f[7, 71])/16 + 
       (371*f[7, 72])/4 - (349*f[7, 73])/4 - (355*f[7, 74])/4 - 
       (127*f[7, 75])/6 + (4281*f[7, 76])/32 - (2529*f[7, 77])/32 + 
       (337*f[7, 78])/8 - (1561*f[7, 79])/48 - (751*f[7, 80])/48 + 
       (263*f[7, 81])/2 + (7859*f[7, 82])/24 + 174*f[7, 83] + 
       (1663*f[7, 84])/48 - (12599*f[7, 85])/96 - (3913*f[7, 86])/12 - 
       (935*f[7, 87])/6 + (1739*f[7, 88])/48 - (523*f[7, 89])/48 - 
       (287*f[7, 90])/96 - (1091*f[7, 91])/24 - (2009*f[7, 92])/16 - 
       (11453*f[7, 93])/96 - (929*f[7, 94])/16 - (3237*f[7, 95])/16 + 
       (91*f[7, 96])/16 + (4645*f[7, 97])/48 + (4645*f[7, 98])/48 - 
       (4475*f[7, 99])/48 - (13195*f[7, 100])/24 - (323*f[7, 101])/6 - 
       (937*f[7, 102])/48 - (173*f[7, 103])/6 + (623*f[7, 104])/24 - 
       (2401*f[7, 105])/48 + (830*f[7, 106])/3 - (3595*f[7, 107])/12 + 
       (2989*f[7, 108])/48 + (291*f[7, 109])/16 - (905*f[7, 110])/32 - 
       (5959*f[7, 111])/48 + (1259*f[7, 112])/8 - (49*f[7, 113])/24 + 
       (1481*f[7, 114])/48 - (3575*f[7, 115])/96 + (2881*f[7, 116])/48 - 
       (39781*f[7, 117])/24 - (4453*f[7, 118])/96 + (19715*f[7, 119])/96 + 
       (1877*f[7, 120])/16 - (947*f[7, 121])/16 + (8861*f[7, 122])/48 + 
       (1145*f[7, 123])/16 - (525*f[7, 124])/4 - (3617*f[7, 125])/48 + 
       (1447*f[7, 126])/12 + f[7, 133] - f[7, 134] + (15*f[7, 136])/2 + 
       (363*f[7, 137])/4 + (631*f[7, 138])/8 + 4*f[7, 145] + 16*f[7, 146] + 
       (35*f[7, 147])/2 - (1459*f[7, 148])/16 - (3765*f[7, 149])/16 - 
       (3373*f[7, 150])/48)*HPL[{0, 0, 1}, 1 - v]*SPw3f2[v, u] + 
     (-2*f[7, 21] + (9*f[7, 30])/4 - (5*f[7, 50])/2 - (5*f[7, 53])/2 - 
       (7*f[7, 55])/2 + f[7, 65] - f[7, 66]/2 - f[7, 67]/4 + (5*f[7, 68])/4 + 
       3*f[7, 69] - (3*f[7, 70])/4 + (3*f[7, 71])/4 - 3*f[7, 72] + 
       3*f[7, 73] + 3*f[7, 74] - (113*f[7, 75])/32 - (59*f[7, 76])/8 + 
       (37*f[7, 77])/4 - 4*f[7, 78] + (111*f[7, 79])/32 + (95*f[7, 80])/32 + 
       (101*f[7, 81])/8 - (11*f[7, 82])/8 - f[7, 83]/4 - (111*f[7, 84])/32 + 
       (81*f[7, 85])/32 + (385*f[7, 86])/32 + (189*f[7, 87])/32 - 
       (111*f[7, 88])/32 - (5*f[7, 89])/4 + (95*f[7, 90])/32 + 
       (27*f[7, 91])/2 + (209*f[7, 92])/32 - (119*f[7, 93])/32 + 
       (117*f[7, 94])/32 + (291*f[7, 95])/32 - (17*f[7, 96])/8 - 6*f[7, 97] - 
       5*f[7, 98] + (109*f[7, 99])/32 + 35*f[7, 100] + (29*f[7, 101])/4 - 
       (33*f[7, 102])/32 + 2*f[7, 103] - (3*f[7, 104])/16 + 
       (111*f[7, 105])/32 - (111*f[7, 106])/4 + 35*f[7, 107] - 
       (111*f[7, 108])/16 - (31*f[7, 109])/16 - (67*f[7, 110])/32 - 
       (13*f[7, 111])/8 - (71*f[7, 112])/8 + (79*f[7, 113])/32 - 
       (111*f[7, 114])/32 - (241*f[7, 115])/32 - (255*f[7, 116])/32 + 
       (251*f[7, 117])/2 + (117*f[7, 118])/32 - (293*f[7, 119])/16 - 
       (193*f[7, 120])/16 + (111*f[7, 121])/16 - (349*f[7, 122])/16 - 
       (111*f[7, 123])/16 + (111*f[7, 124])/8 + (103*f[7, 125])/8 - 
       (477*f[7, 126])/32 - f[7, 137] + (3*f[7, 138])/8 + 2*f[7, 145] + 
       (5*f[7, 147])/4 + (43*f[7, 148])/16 - 4*f[7, 149] + 
       (223*f[7, 150])/16)*HPL[{0, 1, 1}, 1 - u]*SPw3f2[v, u] + 
     ((5*f[7, 55])/2 + f[7, 62]/4 + f[7, 63]/4 - f[7, 64]/4 - 
       (9*f[7, 65])/2 + (3*f[7, 66])/2 + (3*f[7, 67])/4 + (3*f[7, 68])/2 + 
       3*f[7, 69] - f[7, 70]/4 + f[7, 71]/4 - (3*f[7, 72])/2 + 
       (3*f[7, 73])/2 + (3*f[7, 74])/2 + (57*f[7, 75])/32 - (41*f[7, 76])/8 + 
       (29*f[7, 77])/4 - (3*f[7, 78])/2 - (11*f[7, 79])/32 - 
       (35*f[7, 80])/32 - (53*f[7, 81])/8 + (91*f[7, 82])/8 + 
       (49*f[7, 83])/4 + (11*f[7, 84])/32 - (81*f[7, 85])/32 + 
       (239*f[7, 86])/32 + (91*f[7, 87])/32 + (11*f[7, 88])/32 + f[7, 89]/2 - 
       (35*f[7, 90])/32 + 20*f[7, 91] - (81*f[7, 92])/32 - 
       (137*f[7, 93])/32 + (151*f[7, 94])/32 + (129*f[7, 95])/32 - 
       (11*f[7, 96])/4 - (7*f[7, 97])/4 - (11*f[7, 98])/4 + 
       (27*f[7, 99])/32 + (63*f[7, 100])/2 + (53*f[7, 101])/8 - 
       (99*f[7, 102])/32 + (7*f[7, 103])/8 - (85*f[7, 104])/16 + 
       (5*f[7, 105])/32 + (15*f[7, 106])/4 + 22*f[7, 107] + 
       (23*f[7, 108])/16 + (59*f[7, 109])/16 - (189*f[7, 110])/32 + 
       (19*f[7, 111])/8 - (3*f[7, 112])/2 - (51*f[7, 113])/32 + 
       (27*f[7, 114])/32 + (165*f[7, 115])/32 - (53*f[7, 116])/32 + 
       (113*f[7, 117])/2 + (175*f[7, 118])/32 - (171*f[7, 119])/16 - 
       (49*f[7, 120])/16 - (15*f[7, 121])/16 + (25*f[7, 122])/16 + 
       (15*f[7, 123])/16 - (15*f[7, 124])/8 - (17*f[7, 125])/8 - 
       (23*f[7, 126])/32 - f[7, 137] - (19*f[7, 138])/8 - 2*f[7, 145] - 
       f[7, 147]/4 + (35*f[7, 148])/16 + (7*f[7, 149])/2 - (53*f[7, 150])/16)*
      HPL[{0, 1, 1}, 1 - v]*SPw3f2[v, u] + 
     (4*f[7, 130] - 2*f[7, 131] - 2*f[7, 142] - 5*f[7, 143])*HPL[{1}, 1 - v]*
      SPw2f1[u, v]*SPw3f2[v, u] + (-f[7, 16] + 2*f[7, 17] - (5*f[7, 19])/8 - 
       (5*f[7, 20])/4 + 6*f[7, 131] - 2*f[7, 142] - 4*f[7, 143])*
      SPw3f2[v, u]^2 + (-f[7, 40] - f[7, 50] - f[7, 53] + f[7, 65] - 
       f[7, 66] - f[7, 67]/2 - 2*f[7, 68] - 2*f[7, 69] + f[7, 70]/2 - 
       f[7, 71]/2 + 2*f[7, 72] - 2*f[7, 73] - 2*f[7, 74] + 3*f[7, 76] - 
       (5*f[7, 77])/2 + f[7, 78] - (5*f[7, 79])/4 - (3*f[7, 80])/4 + 
       8*f[7, 82] + 7*f[7, 83] + (5*f[7, 84])/4 - 3*f[7, 85] - 
       (15*f[7, 86])/2 - (7*f[7, 87])/2 + (5*f[7, 88])/4 - f[7, 89]/2 - 
       (3*f[7, 90])/4 - 2*f[7, 91] - 3*f[7, 92] - (7*f[7, 93])/2 - 
       (3*f[7, 94])/4 - (21*f[7, 95])/4 + f[7, 96] + 3*f[7, 97] + 
       3*f[7, 98] - (5*f[7, 99])/2 - 16*f[7, 100] - 2*f[7, 101] - 
       (3*f[7, 102])/2 - f[7, 103]/2 - f[7, 104]/2 - (5*f[7, 105])/4 + 
       10*f[7, 106] - 10*f[7, 107] + (5*f[7, 108])/2 + 2*f[7, 109] - 
       f[7, 110]/2 - 3*f[7, 111] + (17*f[7, 112])/4 - f[7, 113]/4 + 
       (5*f[7, 114])/4 + (3*f[7, 115])/4 + (5*f[7, 116])/4 - 52*f[7, 117] - 
       (3*f[7, 118])/4 + 7*f[7, 119] + 4*f[7, 120] - (5*f[7, 121])/2 + 
       7*f[7, 122] + (5*f[7, 123])/2 - 5*f[7, 124] - 4*f[7, 125] + 
       (15*f[7, 126])/4 + 2*f[7, 137] + (7*f[7, 138])/4 - (9*f[7, 148])/4 - 
       (9*f[7, 149])/2 - (15*f[7, 150])/4)*HPL[{1}, 1 - u]^2*SPw4f1[u, v] + 
     (f[7, 40] + f[7, 135]/4 - (5*f[7, 136])/4 + (17*f[7, 137])/4 + 
       (65*f[7, 138])/16 + f[7, 145] + 3*f[7, 146] + (9*f[7, 147])/8 + 
       (83*f[7, 148])/16 + (235*f[7, 149])/16 + (587*f[7, 150])/48)*
      HPL[{1}, 1 - v]^2*SPw4f1[u, v] + (-2*f[7, 23] + 2*f[7, 25] + 
       2*f[7, 29] - f[7, 34] + 2*f[7, 41] + 2*f[7, 42] + 2*f[7, 45] + 
       2*f[7, 46] + f[7, 47]/2 - (5*f[7, 48])/2 - f[7, 49]/2 - 4*f[7, 50] + 
       (5*f[7, 51])/2 + 6*f[7, 52] - 3*f[7, 53] + (7*f[7, 54])/2 - 
       7*f[7, 55] + f[7, 56] - (53*f[7, 57])/8 - 38*f[7, 58] - f[7, 59]/6 - 
       (15*f[7, 60])/16 - (37*f[7, 61])/8 + (667*f[7, 62])/48 + 
       (667*f[7, 63])/48 - (667*f[7, 64])/48 - (81*f[7, 65])/8 + 
       (61*f[7, 66])/4 + (225*f[7, 67])/8 + (71*f[7, 68])/2 + 
       (69*f[7, 69])/2 - (73*f[7, 70])/8 + (73*f[7, 71])/8 - 
       (81*f[7, 72])/2 + 33*f[7, 73] + (73*f[7, 74])/2 + (1357*f[7, 75])/48 - 
       (1039*f[7, 76])/16 + (481*f[7, 77])/16 - (69*f[7, 78])/4 + 
       (23*f[7, 79])/48 + (365*f[7, 80])/48 - (763*f[7, 81])/4 - 
       (446*f[7, 82])/3 - 54*f[7, 83] - (347*f[7, 84])/48 + 
       (1651*f[7, 85])/24 + (8015*f[7, 86])/48 + (3995*f[7, 87])/48 - 
       (475*f[7, 88])/48 - (463*f[7, 89])/48 - (77*f[7, 90])/6 + 
       (539*f[7, 91])/3 + (655*f[7, 92])/16 + (391*f[7, 93])/6 + 
       (1495*f[7, 94])/16 + (1421*f[7, 95])/16 + (111*f[7, 96])/4 - 
       (170*f[7, 97])/3 - (176*f[7, 98])/3 + (257*f[7, 99])/6 + 
       (1471*f[7, 100])/12 + (473*f[7, 101])/48 - (793*f[7, 102])/12 + 
       (407*f[7, 103])/12 - (4139*f[7, 104])/48 + (1781*f[7, 105])/48 - 
       (445*f[7, 106])/12 + (713*f[7, 107])/12 + (763*f[7, 108])/48 + 
       (773*f[7, 109])/16 + (125*f[7, 110])/16 + (4031*f[7, 111])/48 - 
       (1279*f[7, 112])/16 + (179*f[7, 113])/6 + (683*f[7, 114])/48 + 
       (2029*f[7, 115])/24 - (2285*f[7, 116])/48 + (1033*f[7, 117])/3 + 
       (2671*f[7, 118])/48 - (1271*f[7, 119])/48 - (429*f[7, 120])/16 - 
       (131*f[7, 121])/16 - (811*f[7, 122])/48 - (321*f[7, 123])/16 + 
       (71*f[7, 124])/8 - (2009*f[7, 125])/48 - (131*f[7, 126])/3 - 
       2*f[7, 133] - f[7, 135]/2 - (39*f[7, 136])/2 - (73*f[7, 137])/2 - 
       34*f[7, 138] - 2*f[7, 145] - 38*f[7, 146] - (97*f[7, 147])/4 + 
       31*f[7, 148] + (781*f[7, 149])/8 - (995*f[7, 150])/24)*
      HPL[{0, 1}, 1 - u]*SPw4f1[u, v] + (-f[7, 25] - f[7, 29] + f[7, 34] - 
       2*f[7, 45] - 2*f[7, 46] - f[7, 47]/2 + (3*f[7, 48])/2 + f[7, 49]/2 + 
       2*f[7, 50] - (3*f[7, 51])/2 - 2*f[7, 52] + f[7, 53] - (5*f[7, 54])/2 + 
       5*f[7, 55] - f[7, 56]/2 + (11*f[7, 57])/8 + 14*f[7, 58] + 
       (5*f[7, 59])/3 + (9*f[7, 60])/16 + (11*f[7, 61])/8 - 
       (241*f[7, 62])/48 - (241*f[7, 63])/48 + (241*f[7, 64])/48 + 
       (151*f[7, 65])/8 - (111*f[7, 66])/4 - (167*f[7, 67])/8 - 
       (111*f[7, 68])/2 - (107*f[7, 69])/2 + (111*f[7, 70])/8 - 
       (111*f[7, 71])/8 + (119*f[7, 72])/2 - 54*f[7, 73] - (111*f[7, 74])/2 - 
       (817*f[7, 75])/48 + (1301*f[7, 76])/16 - (815*f[7, 77])/16 + 
       (107*f[7, 78])/4 - (767*f[7, 79])/48 - (365*f[7, 80])/48 + 
       (413*f[7, 81])/4 + (1171*f[7, 82])/6 + 92*f[7, 83] + 
       (851*f[7, 84])/48 - (971*f[7, 85])/12 - (9611*f[7, 86])/48 - 
       (4463*f[7, 87])/48 + (931*f[7, 88])/48 - (155*f[7, 89])/48 + 
       (17*f[7, 90])/24 - (176*f[7, 91])/3 - (1167*f[7, 92])/16 - 
       (1705*f[7, 93])/24 - (807*f[7, 94])/16 - (1981*f[7, 95])/16 - 
       (5*f[7, 96])/4 + (179*f[7, 97])/3 + (185*f[7, 98])/3 - 
       (1295*f[7, 99])/24 - (3925*f[7, 100])/12 - (1607*f[7, 101])/48 + 
       (29*f[7, 102])/24 - (68*f[7, 103])/3 + (1529*f[7, 104])/48 - 
       (1529*f[7, 105])/48 + (1777*f[7, 106])/12 - (2123*f[7, 107])/12 + 
       (1187*f[7, 108])/48 - (83*f[7, 109])/16 - (253*f[7, 110])/16 - 
       (3989*f[7, 111])/48 + (1517*f[7, 112])/16 - (125*f[7, 113])/24 + 
       (505*f[7, 114])/48 - (515*f[7, 115])/12 + (1913*f[7, 116])/48 - 
       (2788*f[7, 117])/3 - (1795*f[7, 118])/48 + (5249*f[7, 119])/48 + 
       (1015*f[7, 120])/16 - (403*f[7, 121])/16 + (4309*f[7, 122])/48 + 
       (615*f[7, 123])/16 - (493*f[7, 124])/8 - (1069*f[7, 125])/48 + 
       (1663*f[7, 126])/24 + 2*f[7, 133] - 8*f[7, 134] + f[7, 135]/2 + 
       (17*f[7, 136])/2 + (505*f[7, 137])/4 + (1773*f[7, 138])/16 + 
       12*f[7, 146] + (23*f[7, 147])/4 + (87*f[7, 148])/4 + 
       (661*f[7, 149])/16 + (136*f[7, 150])/3)*HPL[{0, 1}, 1 - v]*
      SPw4f1[u, v] + (-f[7, 45] - f[7, 46] + f[7, 47]/4 + f[7, 48]/2 + 
       f[7, 49]/4 + f[7, 52]/2 - f[7, 53]/2 - f[7, 54]/4 + f[7, 55]/2 - 
       (3*f[7, 56])/4 - (17*f[7, 57])/16 - 3*f[7, 58] + (67*f[7, 59])/24 - 
       (11*f[7, 60])/32 - (9*f[7, 61])/16 + f[7, 62]/24 + f[7, 63]/24 - 
       f[7, 64]/24 + (23*f[7, 65])/16 - (29*f[7, 66])/8 - (5*f[7, 67])/16 - 
       (19*f[7, 68])/4 - (21*f[7, 69])/4 + (25*f[7, 70])/16 - 
       (25*f[7, 71])/16 + (21*f[7, 72])/4 - (11*f[7, 73])/2 - 
       (21*f[7, 74])/4 + (229*f[7, 75])/96 + (229*f[7, 76])/32 - 
       (171*f[7, 77])/32 + (21*f[7, 78])/8 - (367*f[7, 79])/96 - 
       (25*f[7, 80])/96 - (69*f[7, 81])/4 + (47*f[7, 82])/3 + 
       (43*f[7, 83])/4 + (283*f[7, 84])/96 - (257*f[7, 85])/48 - 
       (1333*f[7, 86])/96 - (625*f[7, 87])/96 + (299*f[7, 88])/96 - 
       (7*f[7, 89])/6 - (137*f[7, 90])/48 + (89*f[7, 91])/24 - 
       (277*f[7, 92])/32 - (73*f[7, 93])/24 + (5*f[7, 94])/32 - 
       (337*f[7, 95])/32 + (39*f[7, 96])/16 + (287*f[7, 97])/48 + 
       (335*f[7, 98])/48 - (281*f[7, 99])/96 - (935*f[7, 100])/24 - 
       (109*f[7, 101])/24 - (607*f[7, 102])/96 - (41*f[7, 103])/48 - 
       (235*f[7, 104])/48 - (295*f[7, 105])/96 + (665*f[7, 106])/24 - 
       (109*f[7, 107])/6 + (263*f[7, 108])/48 + (55*f[7, 109])/16 - 
       (7*f[7, 110])/2 - (73*f[7, 111])/24 + (33*f[7, 112])/4 + 
       (253*f[7, 113])/96 + (227*f[7, 114])/96 + (265*f[7, 115])/48 + 
       (319*f[7, 116])/96 - (2861*f[7, 117])/24 - (85*f[7, 118])/48 + 
       (1513*f[7, 119])/96 + (39*f[7, 120])/4 - (107*f[7, 121])/16 + 
       (889*f[7, 122])/48 + (93*f[7, 123])/16 - 12*f[7, 124] - 
       (65*f[7, 125])/6 + (1021*f[7, 126])/96 + f[7, 135]/4 - 
       (5*f[7, 136])/4 + (17*f[7, 137])/4 + (65*f[7, 138])/16 - f[7, 145] - 
       3*f[7, 146] - (9*f[7, 147])/8 - (83*f[7, 148])/16 - 
       (235*f[7, 149])/16 - (587*f[7, 150])/48)*HPL[{1}, 1 - u]^2*
      SPw4f1[v, u] + (2*f[7, 137] + (7*f[7, 138])/4 + (9*f[7, 148])/4 + 
       (9*f[7, 149])/2 + (15*f[7, 150])/4)*HPL[{1}, 1 - v]^2*SPw4f1[v, u] + 
     (-f[7, 47]/2 + 2*f[7, 50] + f[7, 52] + 2*f[7, 53] + 6*f[7, 55] + 
       (11*f[7, 56])/8 + (3*f[7, 57])/16 + 2*f[7, 58] - (7*f[7, 59])/4 + 
       (9*f[7, 60])/32 + (15*f[7, 61])/16 + f[7, 62]/4 + f[7, 63]/4 - 
       f[7, 64]/4 + (431*f[7, 65])/16 - (251*f[7, 66])/8 - 
       (283*f[7, 67])/16 - (279*f[7, 68])/4 - (275*f[7, 69])/4 + 
       (275*f[7, 70])/16 - (275*f[7, 71])/16 + (295*f[7, 72])/4 - 
       (275*f[7, 73])/4 - (279*f[7, 74])/4 - (225*f[7, 75])/16 + 
       (3287*f[7, 76])/32 - (1999*f[7, 77])/32 + (275*f[7, 78])/8 - 
       (457*f[7, 79])/16 - (149*f[7, 80])/16 + (265*f[7, 81])/4 + 
       (2029*f[7, 82])/8 + (507*f[7, 83])/4 + (439*f[7, 84])/16 - 
       (3137*f[7, 85])/32 - (3965*f[7, 86])/16 - (1881*f[7, 87])/16 + 
       (443*f[7, 88])/16 - (119*f[7, 89])/8 - (147*f[7, 90])/32 + 
       (311*f[7, 91])/8 - (419*f[7, 92])/4 - (2779*f[7, 93])/32 - 
       (379*f[7, 94])/16 - (2491*f[7, 95])/16 + (205*f[7, 96])/16 + 
       (1067*f[7, 97])/16 + (1067*f[7, 98])/16 - (1137*f[7, 99])/16 - 
       (3771*f[7, 100])/8 - (747*f[7, 101])/16 - (641*f[7, 102])/16 - 
       (115*f[7, 103])/8 - (77*f[7, 104])/16 - (503*f[7, 105])/16 + 
       (943*f[7, 106])/4 - (511*f[7, 107])/2 + 61*f[7, 108] + 
       (255*f[7, 109])/8 - (695*f[7, 110])/32 - (705*f[7, 111])/8 + 
       (457*f[7, 112])/4 + (179*f[7, 113])/16 + (531*f[7, 114])/16 - 
       (359*f[7, 115])/32 + (571*f[7, 116])/16 - (11183*f[7, 117])/8 - 
       (719*f[7, 118])/32 + (5719*f[7, 119])/32 + 95*f[7, 120] - 
       (425*f[7, 121])/8 + (611*f[7, 122])/4 + 56*f[7, 123] - 
       (873*f[7, 124])/8 - 76*f[7, 125] + (1443*f[7, 126])/16 + 2*f[7, 133] - 
       8*f[7, 134] + f[7, 135]/2 + (17*f[7, 136])/2 + (505*f[7, 137])/4 + 
       (1773*f[7, 138])/16 - 12*f[7, 146] - (23*f[7, 147])/4 - 
       (87*f[7, 148])/4 - (661*f[7, 149])/16 - (136*f[7, 150])/3)*
      HPL[{0, 1}, 1 - u]*SPw4f1[v, u] + (-2*f[7, 133] - f[7, 135]/2 - 
       (39*f[7, 136])/2 - (73*f[7, 137])/2 - 34*f[7, 138] + 2*f[7, 145] + 
       38*f[7, 146] + (97*f[7, 147])/4 - 31*f[7, 148] - (781*f[7, 149])/8 + 
       (995*f[7, 150])/24)*HPL[{0, 1}, 1 - v]*SPw4f1[v, u] + 
     (-f[7, 30]/4 + f[7, 62]/8 + f[7, 63]/8 - f[7, 64]/8 - (5*f[7, 65])/4 + 
       (5*f[7, 66])/4 + (5*f[7, 67])/8 + f[7, 68] + (3*f[7, 69])/2 - 
       (5*f[7, 70])/8 + (5*f[7, 71])/8 - (3*f[7, 72])/2 + (3*f[7, 73])/2 + 
       (3*f[7, 74])/2 + f[7, 75]/8 - (13*f[7, 76])/8 + (21*f[7, 77])/8 - 
       (3*f[7, 78])/4 + f[7, 79]/2 + f[7, 80]/2 + f[7, 81] - (9*f[7, 82])/2 - 
       7*f[7, 83] - f[7, 84]/2 + (13*f[7, 85])/8 + (7*f[7, 86])/2 + 
       (5*f[7, 87])/4 - f[7, 88]/2 + f[7, 89]/8 + f[7, 90]/2 + 8*f[7, 91] + 
       (3*f[7, 92])/8 + (19*f[7, 93])/8 + (9*f[7, 94])/8 + (21*f[7, 95])/8 - 
       (5*f[7, 96])/8 - (5*f[7, 97])/4 - (5*f[7, 98])/4 + f[7, 99] + 
       12*f[7, 100] + 2*f[7, 101] + (3*f[7, 102])/8 + (3*f[7, 103])/4 - 
       (3*f[7, 104])/4 + (3*f[7, 105])/4 - (7*f[7, 106])/2 + 
       (13*f[7, 107])/2 - (5*f[7, 108])/8 - f[7, 109] - f[7, 110]/8 + 
       2*f[7, 111] - (15*f[7, 112])/8 + (5*f[7, 113])/8 - f[7, 114]/4 + 
       f[7, 115]/4 - (3*f[7, 116])/8 + (63*f[7, 117])/2 + (3*f[7, 118])/2 - 
       (31*f[7, 119])/8 - 2*f[7, 120] + (7*f[7, 121])/8 - (9*f[7, 122])/4 - 
       (7*f[7, 123])/8 + (7*f[7, 124])/4 + (7*f[7, 125])/8 - 
       (5*f[7, 126])/4 - (3*f[7, 137])/2 - (3*f[7, 138])/8 + 
       (7*f[7, 148])/8 + (11*f[7, 149])/4 + (9*f[7, 150])/8)*
      HPL[{0, 1}, 1 - u]*SPw4f2[u, v] + ((-3*f[7, 137])/2 - (3*f[7, 138])/8 - 
       (7*f[7, 148])/8 - (11*f[7, 149])/4 - (9*f[7, 150])/8)*
      HPL[{0, 1}, 1 - v]*SPw4f2[v, u] + (-4*f[7, 38] + 2*f[7, 46] + 
       f[7, 47]/2 - f[7, 50] + f[7, 52] - f[7, 53] - (5*f[7, 55])/2 - 
       f[7, 56]/8 - (33*f[7, 57])/16 - 8*f[7, 58] + (11*f[7, 59])/12 - 
       (19*f[7, 60])/32 - (5*f[7, 61])/16 + (29*f[7, 62])/12 + 
       (29*f[7, 63])/12 - (29*f[7, 64])/12 - (65*f[7, 65])/16 + 
       (35*f[7, 66])/8 + (115*f[7, 67])/16 + (29*f[7, 68])/2 + 
       (59*f[7, 69])/4 - (83*f[7, 70])/16 + (83*f[7, 71])/16 - 18*f[7, 72] + 
       15*f[7, 73] + 16*f[7, 74] + (961*f[7, 75])/96 - (907*f[7, 76])/32 + 
       (593*f[7, 77])/32 - (87*f[7, 78])/8 + (89*f[7, 79])/96 - 
       (223*f[7, 80])/96 - (523*f[7, 81])/8 - (487*f[7, 82])/12 - 
       (5*f[7, 83])/2 - (197*f[7, 84])/96 + (1027*f[7, 85])/48 + 
       (6407*f[7, 86])/96 + (3155*f[7, 87])/96 - (301*f[7, 88])/96 - 
       (19*f[7, 89])/24 - (383*f[7, 90])/48 + (821*f[7, 91])/24 + 
       (461*f[7, 92])/32 + (371*f[7, 93])/24 + (743*f[7, 94])/32 + 
       (1175*f[7, 95])/32 + (53*f[7, 96])/16 - (817*f[7, 97])/48 - 
       (865*f[7, 98])/48 + (1471*f[7, 99])/96 + (2437*f[7, 100])/24 + 
       (323*f[7, 101])/24 - (1159*f[7, 102])/96 + (349*f[7, 103])/48 - 
       (1051*f[7, 104])/48 + (629*f[7, 105])/96 - (73*f[7, 106])/6 + 
       (335*f[7, 107])/6 - (7*f[7, 108])/48 + (275*f[7, 109])/16 - 
       (5*f[7, 110])/2 + (563*f[7, 111])/24 - (105*f[7, 112])/4 - 
       (383*f[7, 113])/96 + (131*f[7, 114])/96 + (1291*f[7, 115])/48 - 
       (1505*f[7, 116])/96 + (5791*f[7, 117])/24 + (743*f[7, 118])/48 - 
       (3191*f[7, 119])/96 - (193*f[7, 120])/16 + (11*f[7, 121])/16 - 
       (563*f[7, 122])/48 - (101*f[7, 123])/16 + 7*f[7, 124] - 
       (101*f[7, 125])/24 - (1583*f[7, 126])/96 - 4*f[7, 136] - 
       (67*f[7, 137])/4 - (75*f[7, 138])/4 - 2*f[7, 145] - 8*f[7, 146] - 
       (31*f[7, 147])/4 + (233*f[7, 148])/16 + (677*f[7, 149])/16 - 
       (455*f[7, 150])/48)*HPL[{1}, 1 - u]^2*SPw4f3[u, v] + 
     (f[7, 35] + 4*f[7, 38] + f[7, 40] - 2*f[7, 46] - f[7, 47]/2 - 
       f[7, 49]/2 + f[7, 50] + f[7, 51]/2 - (7*f[7, 52])/2 + 3*f[7, 53] + 
       f[7, 54] - (3*f[7, 55])/2 - (21*f[7, 56])/8 - (49*f[7, 57])/16 + 
       (21*f[7, 58])/2 + (5*f[7, 59])/2 - (123*f[7, 60])/32 - 
       (181*f[7, 61])/16 + (31*f[7, 62])/32 + (31*f[7, 63])/32 - 
       (31*f[7, 64])/32 - (21*f[7, 65])/16 - (55*f[7, 66])/8 - 
       (131*f[7, 67])/16 - (43*f[7, 68])/2 - (87*f[7, 69])/4 + 
       (147*f[7, 70])/16 - (147*f[7, 71])/16 + 25*f[7, 72] - 
       (95*f[7, 73])/4 - 23*f[7, 74] - (181*f[7, 75])/32 + 
       (1193*f[7, 76])/32 - (1287*f[7, 77])/32 + (115*f[7, 78])/8 + 
       (217*f[7, 79])/32 + (309*f[7, 80])/32 + (1083*f[7, 81])/8 + 
       40*f[7, 82] - (101*f[7, 83])/2 + (139*f[7, 84])/32 - 
       (431*f[7, 85])/16 - (2679*f[7, 86])/32 - (1187*f[7, 87])/32 + 
       (243*f[7, 88])/32 - (27*f[7, 89])/32 + (67*f[7, 90])/8 - 
       (97*f[7, 91])/4 - (407*f[7, 92])/32 - (91*f[7, 93])/16 - 
       (1005*f[7, 94])/32 - (1847*f[7, 95])/32 + (115*f[7, 96])/8 + 
       (55*f[7, 97])/8 + (63*f[7, 98])/8 - (425*f[7, 99])/16 - 
       (2029*f[7, 100])/8 - (1193*f[7, 101])/32 + (313*f[7, 102])/16 + 
       (11*f[7, 103])/16 + (1227*f[7, 104])/32 + (419*f[7, 105])/32 + 
       (77*f[7, 106])/8 - (1355*f[7, 107])/8 + (179*f[7, 108])/32 - 
       (909*f[7, 109])/32 + (517*f[7, 110])/32 - (805*f[7, 111])/32 + 
       (1275*f[7, 112])/32 + (81*f[7, 113])/4 - (207*f[7, 114])/32 - 
       (151*f[7, 115])/4 + (617*f[7, 116])/32 - (2051*f[7, 117])/4 - 
       (305*f[7, 118])/32 + (2501*f[7, 119])/32 + (453*f[7, 120])/32 - 
       (625*f[7, 121])/32 + (1325*f[7, 122])/32 + (637*f[7, 123])/32 - 
       (635*f[7, 124])/16 - (981*f[7, 125])/32 + (487*f[7, 126])/16 + 
       5*f[7, 136] + (95*f[7, 137])/4 + (269*f[7, 138])/8 + 2*f[7, 145] + 
       (27*f[7, 146])/2 + 15*f[7, 147] - (225*f[7, 148])/8 - 
       (1055*f[7, 149])/16 - (333*f[7, 150])/16)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*SPw4f3[u, v] + (-f[7, 35] - f[7, 40] + f[7, 49]/2 - 
       f[7, 51]/2 + (5*f[7, 52])/2 - 2*f[7, 53] - f[7, 54] + 4*f[7, 55] + 
       (11*f[7, 56])/4 + (41*f[7, 57])/8 - (5*f[7, 58])/2 - 
       (41*f[7, 59])/12 + (71*f[7, 60])/16 + (93*f[7, 61])/8 - 
       (325*f[7, 62])/96 - (325*f[7, 63])/96 + (325*f[7, 64])/96 + 
       (43*f[7, 65])/8 + (5*f[7, 66])/2 + f[7, 67] + 7*f[7, 68] + 
       7*f[7, 69] - 4*f[7, 70] + 4*f[7, 71] - 7*f[7, 72] + (35*f[7, 73])/4 + 
       7*f[7, 74] - (209*f[7, 75])/48 - (143*f[7, 76])/16 + 
       (347*f[7, 77])/16 - (7*f[7, 78])/2 - (185*f[7, 79])/24 - 
       (22*f[7, 80])/3 - 70*f[7, 81] + (7*f[7, 82])/12 + 53*f[7, 83] - 
       (55*f[7, 84])/24 + (133*f[7, 85])/24 + (815*f[7, 86])/48 + 
       (203*f[7, 87])/48 - (107*f[7, 88])/24 + (157*f[7, 89])/96 - 
       (19*f[7, 90])/48 - (239*f[7, 91])/24 - (27*f[7, 92])/16 - 
       (469*f[7, 93])/48 + (131*f[7, 94])/16 + 21*f[7, 95] - 
       (283*f[7, 96])/16 + (487*f[7, 97])/48 + (487*f[7, 98])/48 + 
       (1079*f[7, 99])/96 + (1825*f[7, 100])/12 + (2287*f[7, 101])/96 - 
       (719*f[7, 102])/96 - (191*f[7, 103])/24 - (1579*f[7, 104])/96 - 
       (943*f[7, 105])/48 + (61*f[7, 106])/24 + (2725*f[7, 107])/24 - 
       (523*f[7, 108])/96 + (359*f[7, 109])/32 - (437*f[7, 110])/32 + 
       (163*f[7, 111])/96 - (435*f[7, 112])/32 - (1561*f[7, 113])/96 + 
       (245*f[7, 114])/48 + (521*f[7, 115])/48 - (173*f[7, 116])/48 + 
       (6515*f[7, 117])/24 - (571*f[7, 118])/96 - (539*f[7, 119])/12 - 
       (67*f[7, 120])/32 + (603*f[7, 121])/32 - (2849*f[7, 122])/96 - 
       (435*f[7, 123])/32 + (523*f[7, 124])/16 + (3347*f[7, 125])/96 - 
       (1339*f[7, 126])/96 - f[7, 136] - 7*f[7, 137] - (119*f[7, 138])/8 - 
       (11*f[7, 146])/2 - (29*f[7, 147])/4 + (217*f[7, 148])/16 + 
       (189*f[7, 149])/8 + (727*f[7, 150])/24)*HPL[{1}, 1 - v]^2*
      SPw4f3[u, v] + (-3*f[7, 65] + 3*f[7, 66] + (3*f[7, 67])/2 + 
       6*f[7, 68] + 6*f[7, 69] - (3*f[7, 70])/2 + (3*f[7, 71])/2 - 
       6*f[7, 72] + 6*f[7, 73] + 6*f[7, 74] - (5*f[7, 75])/4 - 
       (15*f[7, 76])/2 + (9*f[7, 77])/2 - 3*f[7, 78] + (7*f[7, 79])/2 + 
       2*f[7, 80] + 5*f[7, 81] - 21*f[7, 82] - 17*f[7, 83] - (7*f[7, 84])/2 + 
       (31*f[7, 85])/4 + (71*f[7, 86])/4 + (31*f[7, 87])/4 - (7*f[7, 88])/2 + 
       (3*f[7, 89])/2 + 2*f[7, 90] + (37*f[7, 92])/4 + (29*f[7, 93])/4 + 
       f[7, 94] + (25*f[7, 95])/2 - (3*f[7, 96])/2 - 6*f[7, 97] - 
       6*f[7, 98] + (23*f[7, 99])/4 + 36*f[7, 100] + 3*f[7, 101] + 
       (19*f[7, 102])/4 + (3*f[7, 103])/2 + (5*f[7, 104])/2 + 
       (7*f[7, 105])/2 - 28*f[7, 106] + 18*f[7, 107] - 7*f[7, 108] - 
       (11*f[7, 109])/2 + (11*f[7, 110])/4 + 6*f[7, 111] - (43*f[7, 112])/4 + 
       f[7, 113]/2 - (7*f[7, 114])/2 - (9*f[7, 115])/2 - (7*f[7, 116])/2 + 
       128*f[7, 117] + f[7, 118] - 16*f[7, 119] - 10*f[7, 120] + 
       7*f[7, 121] - (39*f[7, 122])/2 - 7*f[7, 123] + 14*f[7, 124] + 
       11*f[7, 125] - (21*f[7, 126])/2 + 4*f[7, 134] - 22*f[7, 137] - 
       19*f[7, 138] + f[7, 147] - (27*f[7, 148])/2 - 32*f[7, 149] - 
       (19*f[7, 150])/2)*HPL[{0, 1}, 1 - v]*SPw4f3[u, v] + 
     (-2*f[7, 35] + 8*f[7, 38] - 2*f[7, 40] - 4*f[7, 46] - f[7, 47] + 
       f[7, 49] + 2*f[7, 50] - f[7, 51] + 3*f[7, 52] - 2*f[7, 53] - 
       2*f[7, 54] + 13*f[7, 55] + (23*f[7, 56])/4 + (115*f[7, 57])/8 + 
       11*f[7, 58] - (26*f[7, 59])/3 + (161*f[7, 60])/16 + (191*f[7, 61])/8 - 
       (557*f[7, 62])/48 - (557*f[7, 63])/48 + (557*f[7, 64])/48 + 
       (151*f[7, 65])/8 - (15*f[7, 66])/4 - (99*f[7, 67])/8 - 15*f[7, 68] - 
       (31*f[7, 69])/2 + (19*f[7, 70])/8 - (19*f[7, 71])/8 + 22*f[7, 72] - 
       (25*f[7, 73])/2 - 18*f[7, 74] - (1379*f[7, 75])/48 + 
       (621*f[7, 76])/16 + (101*f[7, 77])/16 + (59*f[7, 78])/4 - 
       (829*f[7, 79])/48 - (481*f[7, 80])/48 - (37*f[7, 81])/4 + 
       (247*f[7, 82])/3 + 111*f[7, 83] - (23*f[7, 84])/48 - 
       (761*f[7, 85])/24 - (4777*f[7, 86])/48 - (2749*f[7, 87])/48 - 
       (127*f[7, 88])/48 + (233*f[7, 89])/48 + (91*f[7, 90])/6 - 
       (265*f[7, 91])/3 - (515*f[7, 92])/16 - (1211*f[7, 93])/24 - 
       (481*f[7, 94])/16 - (503*f[7, 95])/16 - 42*f[7, 96] + 
       (163*f[7, 97])/3 + (169*f[7, 98])/3 - (49*f[7, 99])/6 + 
       (1213*f[7, 100])/12 + (995*f[7, 101])/48 + (55*f[7, 102])/6 - 
       (731*f[7, 103])/24 + (523*f[7, 104])/48 - (2515*f[7, 105])/48 + 
       (353*f[7, 106])/12 + (1385*f[7, 107])/12 - (509*f[7, 108])/48 - 
       (191*f[7, 109])/16 - (357*f[7, 110])/16 - (2089*f[7, 111])/48 + 
       (405*f[7, 112])/16 - (589*f[7, 113])/24 + (359*f[7, 114])/48 - 
       (385*f[7, 115])/12 + (1159*f[7, 116])/48 + (181*f[7, 117])/3 - 
       (2057*f[7, 118])/48 - (1121*f[7, 119])/48 + (319*f[7, 120])/16 + 
       (581*f[7, 121])/16 - (1723*f[7, 122])/48 - (233*f[7, 123])/16 + 
       (411*f[7, 124])/8 + (3751*f[7, 125])/48 + (61*f[7, 126])/12 + 
       6*f[7, 136] + (39*f[7, 137])/2 + (31*f[7, 138])/4 + 4*f[7, 145] + 
       5*f[7, 146] + f[7, 147] - 2*f[7, 148] - (299*f[7, 149])/8 + 
       (1909*f[7, 150])/24)*SPw2f1[u, v]*SPw4f3[u, v] + 
     (-f[7, 136] - 7*f[7, 137] - (119*f[7, 138])/8 + (11*f[7, 146])/2 + 
       (29*f[7, 147])/4 - (217*f[7, 148])/16 - (189*f[7, 149])/8 - 
       (727*f[7, 150])/24)*HPL[{1}, 1 - u]^2*SPw4f3[v, u] + 
     (5*f[7, 136] + (95*f[7, 137])/4 + (269*f[7, 138])/8 - 2*f[7, 145] - 
       (27*f[7, 146])/2 - 15*f[7, 147] + (225*f[7, 148])/8 + 
       (1055*f[7, 149])/16 + (333*f[7, 150])/16)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*SPw4f3[v, u] + (-4*f[7, 136] - (67*f[7, 137])/4 - 
       (75*f[7, 138])/4 + 2*f[7, 145] + 8*f[7, 146] + (31*f[7, 147])/4 - 
       (233*f[7, 148])/16 - (677*f[7, 149])/16 + (455*f[7, 150])/48)*
      HPL[{1}, 1 - v]^2*SPw4f3[v, u] + (f[7, 22] - 7*f[7, 65] + 8*f[7, 66] + 
       4*f[7, 67] + 16*f[7, 68] + 16*f[7, 69] - 4*f[7, 70] + 5*f[7, 71] - 
       16*f[7, 72] + 16*f[7, 73] + 16*f[7, 74] + (5*f[7, 75])/4 - 
       (49*f[7, 76])/2 + 18*f[7, 77] - 8*f[7, 78] + (15*f[7, 79])/2 + 
       2*f[7, 80] - 11*f[7, 81] - 57*f[7, 82] - 35*f[7, 83] - 
       (15*f[7, 84])/2 + (89*f[7, 85])/4 + (233*f[7, 86])/4 + 
       (109*f[7, 87])/4 - (15*f[7, 88])/2 + (5*f[7, 89])/2 + 2*f[7, 90] + 
       2*f[7, 91] + (93*f[7, 92])/4 + (85*f[7, 93])/4 + 6*f[7, 94] + 
       (77*f[7, 95])/2 - (9*f[7, 96])/2 - 15*f[7, 97] - 15*f[7, 98] + 
       (65*f[7, 99])/4 + 120*f[7, 100] + (29*f[7, 101])/2 + 
       (37*f[7, 102])/4 + (7*f[7, 103])/2 + (3*f[7, 104])/2 + 
       (15*f[7, 105])/2 - 60*f[7, 106] + 70*f[7, 107] - 15*f[7, 108] - 
       (13*f[7, 109])/2 + (17*f[7, 110])/4 + 20*f[7, 111] - 
       (117*f[7, 112])/4 - (7*f[7, 113])/2 - (15*f[7, 114])/2 + f[7, 115]/2 - 
       (21*f[7, 116])/2 + 360*f[7, 117] + 6*f[7, 118] - (95*f[7, 119])/2 - 
       25*f[7, 120] + 15*f[7, 121] - (85*f[7, 122])/2 - 15*f[7, 123] + 
       30*f[7, 124] + 22*f[7, 125] - (51*f[7, 126])/2 + 4*f[7, 134] - 
       22*f[7, 137] - 19*f[7, 138] - f[7, 147] + (27*f[7, 148])/2 + 
       32*f[7, 149] + (19*f[7, 150])/2)*HPL[{0, 1}, 1 - u]*SPw4f3[v, u] + 
     (-6*f[7, 136] - (39*f[7, 137])/2 - (31*f[7, 138])/4 + 4*f[7, 145] + 
       5*f[7, 146] + f[7, 147] - 2*f[7, 148] - (299*f[7, 149])/8 + 
       (1909*f[7, 150])/24)*SPw2f1[u, v]*SPw4f3[v, u] + 
     (f[7, 65]/2 - f[7, 66]/2 - f[7, 67]/4 - f[7, 68] - f[7, 69] + 
       f[7, 70]/4 - f[7, 71]/4 + f[7, 72] - f[7, 73] - f[7, 74] + 
       (7*f[7, 76])/4 - (11*f[7, 77])/4 + f[7, 78]/2 - f[7, 79]/2 - 
       (3*f[7, 80])/4 + 2*f[7, 82] + f[7, 83] + f[7, 84]/2 - f[7, 85] - 
       (13*f[7, 86])/4 - f[7, 87] + f[7, 88]/2 + f[7, 89]/4 - 
       (3*f[7, 90])/4 - 6*f[7, 91] - f[7, 92] - f[7, 93]/2 - (7*f[7, 94])/4 - 
       (9*f[7, 95])/4 + (3*f[7, 96])/4 + f[7, 97] + f[7, 98] - f[7, 99] - 
       10*f[7, 100] - 2*f[7, 101] + (3*f[7, 102])/4 - (3*f[7, 103])/4 + 
       (5*f[7, 104])/4 - f[7, 105]/2 + 4*f[7, 106] - 8*f[7, 107] + 
       f[7, 108] + (3*f[7, 109])/4 + f[7, 110] - (5*f[7, 111])/4 + 
       (7*f[7, 112])/4 - f[7, 113] + f[7, 114]/2 - f[7, 115]/4 + f[7, 116] - 
       28*f[7, 117] - (7*f[7, 118])/4 + (7*f[7, 119])/2 + (5*f[7, 120])/2 - 
       f[7, 121] + (11*f[7, 122])/4 + f[7, 123] - 2*f[7, 124] - 
       (3*f[7, 125])/2 + 2*f[7, 126] + f[7, 137] + f[7, 138]/4 - f[7, 148] - 
       f[7, 149] - (3*f[7, 150])/2)*HPL[{1}, 1 - u]^2*SPw4f4[u, v] + 
     (-f[7, 22] - f[7, 47]/2 + 2*f[7, 50] - f[7, 52] + 2*f[7, 53] + 
       4*f[7, 55] + (5*f[7, 56])/8 + (13*f[7, 57])/16 - 8*f[7, 58] + 
       (3*f[7, 59])/4 + (23*f[7, 60])/32 + f[7, 61]/16 + (21*f[7, 62])/4 + 
       (21*f[7, 63])/4 - (21*f[7, 64])/4 + (385*f[7, 65])/16 - 
       (213*f[7, 66])/8 - (165*f[7, 67])/16 - (241*f[7, 68])/4 - 
       (237*f[7, 69])/4 + (237*f[7, 70])/16 - (253*f[7, 71])/16 + 
       (249*f[7, 72])/4 - (237*f[7, 73])/4 - (241*f[7, 74])/4 - 
       (29*f[7, 75])/16 + (2713*f[7, 76])/32 - (1825*f[7, 77])/32 + 
       (237*f[7, 78])/8 - (405*f[7, 79])/16 - (13*f[7, 80])/16 + 
       (89*f[7, 81])/4 + (1631*f[7, 82])/8 + (409*f[7, 83])/4 + 
       (399*f[7, 84])/16 - (2483*f[7, 85])/32 - (3229*f[7, 86])/16 - 
       (1489*f[7, 87])/16 + (411*f[7, 88])/16 - (117*f[7, 89])/8 - 
       (41*f[7, 90])/32 + (681*f[7, 91])/8 - (701*f[7, 92])/8 - 
       (2161*f[7, 93])/32 + (37*f[7, 94])/16 - (2179*f[7, 95])/16 + 
       (339*f[7, 96])/16 + (741*f[7, 97])/16 + (741*f[7, 98])/16 - 
       (897*f[7, 99])/16 - (3437*f[7, 100])/8 - (721*f[7, 101])/16 - 
       (905*f[7, 102])/16 - (63*f[7, 103])/8 - (391*f[7, 104])/16 - 
       (215*f[7, 105])/16 + (857*f[7, 106])/4 - (481*f[7, 107])/2 + 
       (251*f[7, 108])/4 + (243*f[7, 109])/8 - (421*f[7, 110])/32 - 
       (495*f[7, 111])/8 + (381*f[7, 112])/4 + (519*f[7, 113])/16 + 
       (515*f[7, 114])/16 + (227*f[7, 115])/32 + (443*f[7, 116])/16 - 
       (10305*f[7, 117])/8 - (205*f[7, 118])/32 + (5449*f[7, 119])/32 + 
       (323*f[7, 120])/4 - (473*f[7, 121])/8 + (309*f[7, 122])/2 + 
       (205*f[7, 123])/4 - (883*f[7, 124])/8 - (187*f[7, 125])/2 + 
       (1367*f[7, 126])/16 + 4*f[7, 134] + (117*f[7, 137])/4 + 
       (435*f[7, 138])/16 + 2*f[7, 145] - 16*f[7, 146] - f[7, 147]/2 - 
       (441*f[7, 148])/4 - (3837*f[7, 149])/16 - (3613*f[7, 150])/24)*
      HPL[{0, 1}, 1 - u]*SPw4f4[u, v] + (f[7, 47]/2 - 2*f[7, 50] + f[7, 52] - 
       2*f[7, 53] - 4*f[7, 55] - f[7, 56]/8 - (25*f[7, 57])/16 - 8*f[7, 58] - 
       (13*f[7, 59])/12 - (27*f[7, 60])/32 + (3*f[7, 61])/16 + 
       (41*f[7, 62])/12 + (41*f[7, 63])/12 - (41*f[7, 64])/12 - 
       (61*f[7, 65])/16 + (41*f[7, 66])/8 + (121*f[7, 67])/16 + 
       (69*f[7, 68])/4 + (65*f[7, 69])/4 - (65*f[7, 70])/16 + 
       (65*f[7, 71])/16 - (77*f[7, 72])/4 + (65*f[7, 73])/4 + 
       (69*f[7, 74])/4 + (359*f[7, 75])/48 - (853*f[7, 76])/32 + 
       (365*f[7, 77])/32 - (65*f[7, 78])/8 + (187*f[7, 79])/48 + 
       (91*f[7, 80])/48 - (201*f[7, 81])/4 - (1601*f[7, 82])/24 - 
       (89*f[7, 83])/4 - (241*f[7, 84])/48 + (2669*f[7, 85])/96 + 
       (3295*f[7, 86])/48 + (1627*f[7, 87])/48 - (293*f[7, 88])/48 - 
       (25*f[7, 89])/24 - (337*f[7, 90])/96 + (545*f[7, 91])/24 + 
       (195*f[7, 92])/8 + (2495*f[7, 93])/96 + (359*f[7, 94])/16 + 
       (631*f[7, 95])/16 + (105*f[7, 96])/16 - (1027*f[7, 97])/48 - 
       (1027*f[7, 98])/48 + (851*f[7, 99])/48 + (1675*f[7, 100])/24 + 
       (199*f[7, 101])/48 - (461*f[7, 102])/48 + (245*f[7, 103])/24 - 
       (847*f[7, 104])/48 + (553*f[7, 105])/48 - (407*f[7, 106])/12 + 
       (191*f[7, 107])/6 - (37*f[7, 108])/12 + (81*f[7, 109])/8 + 
       (169*f[7, 110])/32 + (677*f[7, 111])/24 - 33*f[7, 112] + 
       (119*f[7, 113])/48 + (19*f[7, 114])/48 + (2027*f[7, 115])/96 - 
       (829*f[7, 116])/48 + (5239*f[7, 117])/24 + (1435*f[7, 118])/96 - 
       (2159*f[7, 119])/96 - (61*f[7, 120])/4 + (45*f[7, 121])/8 - 
       (151*f[7, 122])/6 - (45*f[7, 123])/4 + (135*f[7, 124])/8 + 
       (13*f[7, 125])/6 - (1105*f[7, 126])/48 - 4*f[7, 136] - 
       (105*f[7, 137])/4 - (391*f[7, 138])/16 - 2*f[7, 145] - 8*f[7, 146] - 
       (9*f[7, 147])/2 + (41*f[7, 148])/4 + (377*f[7, 149])/16 - 
       (271*f[7, 150])/24)*HPL[{0, 1}, 1 - v]*SPw4f4[u, v] + 
     (f[7, 137] + f[7, 138]/4 + f[7, 148] + f[7, 149] + (3*f[7, 150])/2)*
      HPL[{1}, 1 - v]^2*SPw4f4[v, u] + (f[7, 57]/2 - 2*f[7, 59] - 
       f[7, 60]/4 + f[7, 61]/2 + f[7, 62] + f[7, 63] - f[7, 64] - 
       (5*f[7, 65])/2 + 4*f[7, 66] + 2*f[7, 67] + 8*f[7, 68] + 8*f[7, 69] - 
       2*f[7, 70] + 2*f[7, 71] - 8*f[7, 72] + 8*f[7, 73] + 8*f[7, 74] - 
       f[7, 75]/2 - (45*f[7, 76])/4 + (25*f[7, 77])/4 - 4*f[7, 78] + 
       (17*f[7, 79])/4 + (7*f[7, 80])/4 + 2*f[7, 81] - 31*f[7, 82] - 
       21*f[7, 83] - (17*f[7, 84])/4 + (47*f[7, 85])/4 + 27*f[7, 86] + 
       13*f[7, 87] - (17*f[7, 88])/4 + f[7, 89]/2 + 2*f[7, 90] + 5*f[7, 91] + 
       (25*f[7, 92])/2 + (45*f[7, 93])/4 + (17*f[7, 94])/4 + 
       (73*f[7, 95])/4 - (23*f[7, 97])/2 - (23*f[7, 98])/2 + 7*f[7, 99] + 
       43*f[7, 100] + (7*f[7, 101])/2 + (7*f[7, 102])/2 + (7*f[7, 103])/2 + 
       f[7, 104]/2 + (25*f[7, 105])/4 - 32*f[7, 106] + 22*f[7, 107] - 
       (11*f[7, 108])/2 - 2*f[7, 109] + (17*f[7, 110])/4 + 10*f[7, 111] - 
       (63*f[7, 112])/4 + f[7, 113]/4 - (9*f[7, 114])/4 - f[7, 115]/2 - 
       (29*f[7, 116])/4 + 147*f[7, 117] + (9*f[7, 118])/2 - 
       (69*f[7, 119])/4 - (23*f[7, 120])/2 + (15*f[7, 121])/2 - 
       23*f[7, 122] - (15*f[7, 123])/2 + 15*f[7, 124] + 10*f[7, 125] - 
       (59*f[7, 126])/4 - 4*f[7, 136] - (105*f[7, 137])/4 - 
       (391*f[7, 138])/16 + 2*f[7, 145] + 8*f[7, 146] + (9*f[7, 147])/2 - 
       (41*f[7, 148])/4 - (377*f[7, 149])/16 + (271*f[7, 150])/24)*
      HPL[{0, 1}, 1 - u]*SPw4f4[v, u] + (f[7, 56] + f[7, 57]/2 + 8*f[7, 58] - 
       (2*f[7, 59])/3 + (3*f[7, 60])/4 + (5*f[7, 61])/2 - (19*f[7, 62])/6 - 
       (19*f[7, 63])/6 + (19*f[7, 64])/6 - (21*f[7, 65])/2 + 16*f[7, 66] + 
       4*f[7, 67] + 34*f[7, 68] + 32*f[7, 69] - 8*f[7, 70] + 8*f[7, 71] - 
       32*f[7, 72] + 32*f[7, 73] + 32*f[7, 74] - (47*f[7, 75])/12 - 
       (183*f[7, 76])/4 + (129*f[7, 77])/4 - 16*f[7, 78] + 
       (191*f[7, 79])/12 + (5*f[7, 80])/12 + 9*f[7, 81] - (326*f[7, 82])/3 - 
       66*f[7, 83] - (191*f[7, 84])/12 + (241*f[7, 85])/6 + 
       (1265*f[7, 86])/12 + (575*f[7, 87])/12 - (199*f[7, 88])/12 + 
       (26*f[7, 89])/3 + (17*f[7, 90])/3 - (139*f[7, 91])/3 + 
       (191*f[7, 92])/4 + (113*f[7, 93])/3 - (25*f[7, 94])/4 + 
       (299*f[7, 95])/4 - (33*f[7, 96])/2 - (163*f[7, 97])/6 - 
       (163*f[7, 98])/6 + (373*f[7, 99])/12 + (757*f[7, 100])/3 + 
       (83*f[7, 101])/3 + (455*f[7, 102])/12 + (7*f[7, 103])/6 + 
       (131*f[7, 104])/6 + (83*f[7, 105])/12 - (406*f[7, 106])/3 + 
       (428*f[7, 107])/3 - (119*f[7, 108])/3 - (47*f[7, 109])/2 + 
       8*f[7, 110] + (89*f[7, 111])/3 - (107*f[7, 112])/2 - 
       (239*f[7, 113])/12 - (235*f[7, 114])/12 - (43*f[7, 115])/3 - 
       (179*f[7, 116])/12 + (2275*f[7, 117])/3 + (5*f[7, 118])/6 - 
       (1217*f[7, 119])/12 - (103*f[7, 120])/2 + 40*f[7, 121] - 
       (611*f[7, 122])/6 - 33*f[7, 123] + 73*f[7, 124] + (401*f[7, 125])/6 - 
       (647*f[7, 126])/12 + 4*f[7, 134] + (117*f[7, 137])/4 + 
       (435*f[7, 138])/16 - 2*f[7, 145] + 16*f[7, 146] + f[7, 147]/2 + 
       (441*f[7, 148])/4 + (3837*f[7, 149])/16 + (3613*f[7, 150])/24)*
      HPL[{0, 1}, 1 - v]*SPw4f4[v, u] + (2*f[7, 45] + 2*f[7, 46] - 
       f[7, 49]/2 - 2*f[7, 50] + f[7, 51]/2 - f[7, 53] + f[7, 54] - 
       3*f[7, 55] + f[7, 56] - 5*f[7, 58] - (7*f[7, 59])/4 - f[7, 60]/2 + 
       (65*f[7, 62])/16 + (65*f[7, 63])/16 - (65*f[7, 64])/16 - 7*f[7, 65] + 
       10*f[7, 66] + 9*f[7, 67] + 22*f[7, 68] + 22*f[7, 69] - 6*f[7, 70] + 
       6*f[7, 71] - 25*f[7, 72] + (45*f[7, 73])/2 + 23*f[7, 74] + 
       (93*f[7, 75])/16 - (283*f[7, 76])/8 + 18*f[7, 77] - 11*f[7, 78] + 
       (127*f[7, 79])/16 + (43*f[7, 80])/16 - (67*f[7, 81])/2 - 
       (331*f[7, 82])/4 - 34*f[7, 83] - (135*f[7, 84])/16 + 
       (539*f[7, 85])/16 + (1355*f[7, 86])/16 + (667*f[7, 87])/16 - 
       (151*f[7, 88])/16 + (7*f[7, 89])/16 + (7*f[7, 90])/16 + 
       (113*f[7, 91])/4 + (529*f[7, 92])/16 + (459*f[7, 93])/16 + 
       (377*f[7, 94])/16 + (807*f[7, 95])/16 + (33*f[7, 96])/8 - 
       (211*f[7, 97])/8 - (227*f[7, 98])/8 + (173*f[7, 99])/8 + 
       117*f[7, 100] + (165*f[7, 101])/16 - (17*f[7, 102])/4 + 
       (43*f[7, 103])/4 - (229*f[7, 104])/16 + (265*f[7, 105])/16 - 
       63*f[7, 106] + (223*f[7, 107])/4 - (139*f[7, 108])/16 + 
       (85*f[7, 109])/16 + (37*f[7, 110])/4 + (521*f[7, 111])/16 - 
       (675*f[7, 112])/16 + 2*f[7, 113] - (37*f[7, 114])/16 + 
       (245*f[7, 115])/16 - (329*f[7, 116])/16 + (1419*f[7, 117])/4 + 
       (147*f[7, 118])/8 - (83*f[7, 119])/2 - (455*f[7, 120])/16 + 
       (197*f[7, 121])/16 - (713*f[7, 122])/16 - (285*f[7, 123])/16 + 
       (233*f[7, 124])/8 + (201*f[7, 125])/16 - (275*f[7, 126])/8 - 
       (5*f[7, 136])/2 - 22*f[7, 137] - (85*f[7, 138])/4 - 5*f[7, 146] - 
       5*f[7, 147] + (89*f[7, 148])/4 + 61*f[7, 149] + (99*f[7, 150])/8)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*SPw4f5[u, v] + 
     (-f[7, 45] - f[7, 46] - f[7, 48]/2 + f[7, 49]/4 - f[7, 51]/2 - 
       f[7, 53]/2 - (3*f[7, 54])/4 + (3*f[7, 55])/2 - (5*f[7, 56])/16 + 
       f[7, 57]/32 + 4*f[7, 58] - (7*f[7, 59])/12 + (35*f[7, 60])/64 + 
       (13*f[7, 61])/32 - (139*f[7, 62])/48 - (139*f[7, 63])/48 + 
       (139*f[7, 64])/48 - (19*f[7, 65])/32 - (5*f[7, 66])/16 - 
       (101*f[7, 67])/32 - (13*f[7, 68])/8 - (13*f[7, 69])/8 + 
       (21*f[7, 70])/32 - (21*f[7, 71])/32 + (25*f[7, 72])/8 - 
       (15*f[7, 73])/8 - (17*f[7, 74])/8 - (89*f[7, 75])/24 + 
       (305*f[7, 76])/64 + (43*f[7, 77])/64 + (13*f[7, 78])/16 + 
       (5*f[7, 79])/6 - (23*f[7, 80])/48 + (165*f[7, 81])/8 + 
       (491*f[7, 82])/48 - (15*f[7, 83])/8 - f[7, 84]/48 - 
       (971*f[7, 85])/192 - (611*f[7, 86])/48 - (359*f[7, 87])/48 + 
       (13*f[7, 88])/48 + (53*f[7, 89])/24 + (295*f[7, 90])/192 - 
       (1013*f[7, 91])/48 - (87*f[7, 92])/32 - (869*f[7, 93])/192 - 
       (21*f[7, 94])/2 - (67*f[7, 95])/16 - (209*f[7, 96])/32 + 
       (427*f[7, 97])/96 + (523*f[7, 98])/96 - (31*f[7, 99])/12 + 
       (545*f[7, 100])/48 + (245*f[7, 101])/96 + (505*f[7, 102])/48 - 
       (91*f[7, 103])/24 + (1069*f[7, 104])/96 - (275*f[7, 105])/48 - 
       (20*f[7, 106])/3 + (37*f[7, 107])/3 - (35*f[7, 108])/6 - 
       (139*f[7, 109])/16 - (127*f[7, 110])/64 - (83*f[7, 111])/12 + 
       (99*f[7, 112])/16 - (235*f[7, 113])/48 - (185*f[7, 114])/48 - 
       (2093*f[7, 115])/192 + (293*f[7, 116])/48 + (1637*f[7, 117])/48 - 
       (1393*f[7, 118])/192 - (1369*f[7, 119])/192 + f[7, 120]/16 + 
       (59*f[7, 121])/16 - (85*f[7, 122])/24 - f[7, 123]/8 + 
       (69*f[7, 124])/16 + (449*f[7, 125])/48 + (155*f[7, 126])/48 - 
       f[7, 135]/4 + (7*f[7, 136])/4 + (13*f[7, 137])/8 + (75*f[7, 138])/32 + 
       4*f[7, 146] + (21*f[7, 147])/8 - (17*f[7, 148])/16 - 
       (177*f[7, 149])/32 + (109*f[7, 150])/12)*HPL[{1}, 1 - v]^2*
      SPw4f5[u, v] + (-4*f[7, 137] - (5*f[7, 138])/2 + f[7, 147] - 
       (5*f[7, 148])/2 - 12*f[7, 149] - (17*f[7, 150])/2)*SPw2f1[u, v]*
      SPw4f5[u, v] + (-f[7, 135]/4 + (7*f[7, 136])/4 + (13*f[7, 137])/8 + 
       (75*f[7, 138])/32 - 4*f[7, 146] - (21*f[7, 147])/8 + 
       (17*f[7, 148])/16 + (177*f[7, 149])/32 - (109*f[7, 150])/12)*
      HPL[{1}, 1 - u]^2*SPw4f5[v, u] + ((-5*f[7, 136])/2 - 22*f[7, 137] - 
       (85*f[7, 138])/4 + 5*f[7, 146] + 5*f[7, 147] - (89*f[7, 148])/4 - 
       61*f[7, 149] - (99*f[7, 150])/8)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      SPw4f5[v, u] + (2*f[7, 65] - 2*f[7, 66] - f[7, 67] - 4*f[7, 68] - 
       4*f[7, 69] + f[7, 70] - f[7, 71] + 4*f[7, 72] - 4*f[7, 73] - 
       4*f[7, 74] + f[7, 75] + 6*f[7, 76] - 5*f[7, 77] + 2*f[7, 78] - 
       (5*f[7, 79])/2 - (3*f[7, 80])/2 - 4*f[7, 81] + 12*f[7, 82] + 
       10*f[7, 83] + (5*f[7, 84])/2 - 5*f[7, 85] - 12*f[7, 86] - 6*f[7, 87] + 
       (5*f[7, 88])/2 - f[7, 89] - (3*f[7, 90])/2 - 4*f[7, 91] - 5*f[7, 92] - 
       4*f[7, 93] - (3*f[7, 94])/2 - (17*f[7, 95])/2 + 2*f[7, 96] + 
       6*f[7, 97] + 6*f[7, 98] - 4*f[7, 99] - 32*f[7, 100] - 4*f[7, 101] - 
       2*f[7, 102] - f[7, 103] - f[7, 104] - (5*f[7, 105])/2 + 20*f[7, 106] - 
       20*f[7, 107] + 5*f[7, 108] + 4*f[7, 109] - 4*f[7, 111] + 
       (15*f[7, 112])/2 - f[7, 113]/2 + (5*f[7, 114])/2 + (7*f[7, 115])/2 + 
       (5*f[7, 116])/2 - 104*f[7, 117] - (3*f[7, 118])/2 + 14*f[7, 119] + 
       8*f[7, 120] - 5*f[7, 121] + 14*f[7, 122] + 5*f[7, 123] - 
       10*f[7, 124] - 8*f[7, 125] + (15*f[7, 126])/2 + 4*f[7, 137] + 
       (5*f[7, 138])/2 + f[7, 147] - (5*f[7, 148])/2 - 12*f[7, 149] - 
       (17*f[7, 150])/2)*SPw2f1[u, v]*SPw4f5[v, u] + 
     (f[7, 4]/2 + f[7, 131]/2 - f[7, 142]/2 - (5*f[7, 143])/4)*
      HPL[{1}, 1 - u]^2*SPw4f6[u, v] + (-f[7, 131]/2 - f[7, 142]/2 - 
       (5*f[7, 143])/4)*HPL[{1}, 1 - v]^2*SPw4f6[u, v] + 
     (-f[7, 65]/2 + f[7, 66]/2 + f[7, 67]/4 + f[7, 68] + f[7, 69] - 
       f[7, 70]/4 + f[7, 71]/4 - f[7, 72] + f[7, 73] + f[7, 74] - 
       (3*f[7, 76])/2 + (7*f[7, 77])/4 - f[7, 78]/2 + f[7, 79]/2 + 
       f[7, 80]/2 - 3*f[7, 82] - 2*f[7, 83] - f[7, 84]/2 + (5*f[7, 85])/4 + 
       (13*f[7, 86])/4 + (5*f[7, 87])/4 - f[7, 88]/2 + f[7, 90]/2 + 
       3*f[7, 91] + (5*f[7, 92])/4 + f[7, 93] + f[7, 94] + (9*f[7, 95])/4 - 
       f[7, 96]/2 - f[7, 97] - f[7, 98] + f[7, 99] + 8*f[7, 100] + 
       (5*f[7, 101])/4 + f[7, 103]/2 - f[7, 104]/2 + f[7, 105]/2 - 
       4*f[7, 106] + 6*f[7, 107] - f[7, 108] - (3*f[7, 109])/4 - 
       f[7, 110]/4 + (5*f[7, 111])/4 - (7*f[7, 112])/4 + f[7, 113]/2 - 
       f[7, 114]/2 - (3*f[7, 116])/4 + 24*f[7, 117] + f[7, 118] - 
       3*f[7, 119] - 2*f[7, 120] + f[7, 121] - (11*f[7, 122])/4 - f[7, 123] + 
       2*f[7, 124] + (3*f[7, 125])/2 - (7*f[7, 126])/4 - f[7, 137] - 
       f[7, 138]/2 + f[7, 148] + 2*f[7, 149] + (3*f[7, 150])/2)*
      HPL[{1}, 1 - u]^2*SPw4f7[u, v] + (f[7, 137] + f[7, 138]/2 + f[7, 148] + 
       2*f[7, 149] + (3*f[7, 150])/2)*HPL[{1}, 1 - v]^2*SPw4f7[u, v] + 
     (f[7, 57]/2 + 4*f[7, 58] + f[7, 60]/4 + f[7, 61]/2 - (9*f[7, 62])/4 - 
       (9*f[7, 63])/4 + (9*f[7, 64])/4 - (5*f[7, 65])/2 + 3*f[7, 66] - 
       f[7, 67]/2 + 6*f[7, 68] + 6*f[7, 69] - (3*f[7, 70])/2 + 
       (3*f[7, 71])/2 - 6*f[7, 72] + 6*f[7, 73] + 6*f[7, 74] - 
       (3*f[7, 75])/2 - (31*f[7, 76])/4 + (37*f[7, 77])/4 - 3*f[7, 78] + 
       (7*f[7, 79])/2 + 8*f[7, 81] - 15*f[7, 82] - 8*f[7, 83] - 
       (5*f[7, 84])/2 + (21*f[7, 85])/4 + 16*f[7, 86] + (13*f[7, 87])/2 - 
       (5*f[7, 88])/2 + (13*f[7, 89])/4 + (3*f[7, 90])/4 - 26*f[7, 91] + 
       (17*f[7, 92])/2 + (9*f[7, 93])/4 - (15*f[7, 94])/2 + (25*f[7, 95])/2 - 
       (13*f[7, 96])/2 - f[7, 97] - f[7, 98] + (17*f[7, 99])/4 + 
       67*f[7, 100] + (35*f[7, 101])/4 + (53*f[7, 102])/4 - (3*f[7, 103])/2 + 
       (39*f[7, 104])/4 - 2*f[7, 105] - 27*f[7, 106] + 43*f[7, 107] - 
       (45*f[7, 108])/4 - (37*f[7, 109])/4 - f[7, 110] + (9*f[7, 111])/4 - 
       (25*f[7, 112])/4 - (25*f[7, 113])/4 - (13*f[7, 114])/2 - 
       (29*f[7, 115])/4 + f[7, 116] + 184*f[7, 117] - (7*f[7, 118])/2 - 
       (105*f[7, 119])/4 - (37*f[7, 120])/4 + (33*f[7, 121])/4 - 
       (71*f[7, 122])/4 - (23*f[7, 123])/4 + 14*f[7, 124] + 
       (61*f[7, 125])/4 - (27*f[7, 126])/4 + 4*f[7, 136] - 24*f[7, 137] - 
       (43*f[7, 138])/2 + f[7, 147] - (27*f[7, 148])/2 - 32*f[7, 149] - 
       (31*f[7, 150])/2)*HPL[{0, 1}, 1 - u]*SPw4f7[u, v] + 
     (-f[7, 57]/2 - 4*f[7, 58] - f[7, 60]/4 - f[7, 61]/2 + (9*f[7, 62])/4 + 
       (9*f[7, 63])/4 - (9*f[7, 64])/4 + (15*f[7, 65])/2 - 9*f[7, 66] - 
       (5*f[7, 67])/2 - 18*f[7, 68] - 18*f[7, 69] + (9*f[7, 70])/2 - 
       (9*f[7, 71])/2 + 18*f[7, 72] - 18*f[7, 73] - 18*f[7, 74] + 
       f[7, 75]/2 + (99*f[7, 76])/4 - (75*f[7, 77])/4 + 9*f[7, 78] - 
       9*f[7, 79] - f[7, 80] + 61*f[7, 82] + 36*f[7, 83] + 8*f[7, 84] - 
       (91*f[7, 85])/4 - 59*f[7, 86] - 27*f[7, 87] + 8*f[7, 88] - 
       (23*f[7, 89])/4 - (7*f[7, 90])/4 + 34*f[7, 91] - 27*f[7, 92] - 
       (79*f[7, 93])/4 + 5*f[7, 94] - 41*f[7, 95] + 9*f[7, 96] + 
       13*f[7, 97] + 13*f[7, 98] - (65*f[7, 99])/4 - 145*f[7, 100] - 
       (65*f[7, 101])/4 - (87*f[7, 102])/4 - f[7, 103]/2 - (51*f[7, 104])/4 - 
       (7*f[7, 105])/2 + 71*f[7, 106] - 83*f[7, 107] + (89*f[7, 108])/4 + 
       (57*f[7, 109])/4 - (9*f[7, 110])/2 - (69*f[7, 111])/4 + 
       (111*f[7, 112])/4 + (39*f[7, 113])/4 + 12*f[7, 114] + 
       (29*f[7, 115])/4 + 6*f[7, 116] - 428*f[7, 117] + f[7, 118] + 
       (233*f[7, 119])/4 + (105*f[7, 120])/4 - (77*f[7, 121])/4 + 
       (195*f[7, 122])/4 + (67*f[7, 123])/4 - 36*f[7, 124] - 
       (125*f[7, 125])/4 + (99*f[7, 126])/4 - 4*f[7, 136] + 24*f[7, 137] + 
       (43*f[7, 138])/2 + f[7, 147] - (27*f[7, 148])/2 - 32*f[7, 149] - 
       (31*f[7, 150])/2)*HPL[{0, 1}, 1 - v]*SPw4f7[u, v] + 
     (f[7, 47]/2 - 2*f[7, 50] + f[7, 52] - 2*f[7, 53] - 4*f[7, 55] - 
       f[7, 56]/8 - (33*f[7, 57])/16 - 8*f[7, 58] + (11*f[7, 59])/12 - 
       (19*f[7, 60])/32 - (5*f[7, 61])/16 + (29*f[7, 62])/12 + 
       (29*f[7, 63])/12 - (29*f[7, 64])/12 - (133*f[7, 65])/16 + 
       (73*f[7, 66])/8 + (153*f[7, 67])/16 + (101*f[7, 68])/4 + 
       (97*f[7, 69])/4 - (97*f[7, 70])/16 + (97*f[7, 71])/16 - 
       (109*f[7, 72])/4 + (97*f[7, 73])/4 + (101*f[7, 74])/4 + 
       (407*f[7, 75])/48 - (1245*f[7, 76])/32 + (677*f[7, 77])/32 - 
       (97*f[7, 78])/8 + (343*f[7, 79])/48 + (127*f[7, 80])/48 - 
       (233*f[7, 81])/4 - (2201*f[7, 82])/24 - (141*f[7, 83])/4 - 
       (397*f[7, 84])/48 + (3653*f[7, 85])/96 + (4615*f[7, 86])/48 + 
       (2227*f[7, 87])/48 - (449*f[7, 88])/48 + (35*f[7, 89])/24 - 
       (289*f[7, 90])/96 + (473*f[7, 91])/24 + (279*f[7, 92])/8 + 
       (3287*f[7, 93])/96 + (387*f[7, 94])/16 + (923*f[7, 95])/16 + 
       (33*f[7, 96])/16 - (1291*f[7, 97])/48 - (1291*f[7, 98])/48 + 
       (1259*f[7, 99])/48 + (3331*f[7, 100])/24 + (607*f[7, 101])/48 - 
       (197*f[7, 102])/48 + (257*f[7, 103])/24 - (799*f[7, 104])/48 + 
       (613*f[7, 105])/48 - (743*f[7, 106])/12 + (443*f[7, 107])/6 - 
       (151*f[7, 108])/12 + (33*f[7, 109])/8 + (177*f[7, 110])/32 + 
       (893*f[7, 111])/24 - (181*f[7, 112])/4 - (13*f[7, 113])/48 - 
       (233*f[7, 114])/48 + (1931*f[7, 115])/96 - (937*f[7, 116])/48 + 
       (9967*f[7, 117])/24 + (1579*f[7, 118])/96 - (4775*f[7, 119])/96 - 
       (113*f[7, 120])/4 + (105*f[7, 121])/8 - (265*f[7, 122])/6 - 
       (75*f[7, 123])/4 + (255*f[7, 124])/8 + (85*f[7, 125])/6 - 
       (1573*f[7, 126])/48 - 4*f[7, 136] - (113*f[7, 137])/4 - 
       (419*f[7, 138])/16 - 2*f[7, 145] - 8*f[7, 146] - 6*f[7, 147] + 
       25*f[7, 148] + (969*f[7, 149])/16 + (155*f[7, 150])/24)*
      HPL[{1}, 1 - u]*SPw5f10[u, v] + (-f[7, 47]/2 + 2*f[7, 50] - f[7, 52] + 
       2*f[7, 53] + 4*f[7, 55] + f[7, 56]/8 + (33*f[7, 57])/16 + 8*f[7, 58] - 
       (11*f[7, 59])/12 + (19*f[7, 60])/32 + (5*f[7, 61])/16 - 
       (29*f[7, 62])/12 - (29*f[7, 63])/12 + (29*f[7, 64])/12 + 
       (101*f[7, 65])/16 - (65*f[7, 66])/8 - (145*f[7, 67])/16 - 
       (93*f[7, 68])/4 - (89*f[7, 69])/4 + (89*f[7, 70])/16 - 
       (89*f[7, 71])/16 + (101*f[7, 72])/4 - (89*f[7, 73])/4 - 
       (93*f[7, 74])/4 - (383*f[7, 75])/48 + (1149*f[7, 76])/32 - 
       (597*f[7, 77])/32 + (89*f[7, 78])/8 - (307*f[7, 79])/48 - 
       (115*f[7, 80])/48 + (225*f[7, 81])/4 + (2057*f[7, 82])/24 + 
       (129*f[7, 83])/4 + (361*f[7, 84])/48 - (3413*f[7, 85])/96 - 
       (4279*f[7, 86])/48 - (2083*f[7, 87])/48 + (413*f[7, 88])/48 - 
       (23*f[7, 89])/24 + (313*f[7, 90])/96 - (425*f[7, 91])/24 - 
       (259*f[7, 92])/8 - (3095*f[7, 93])/96 - (367*f[7, 94])/16 - 
       (847*f[7, 95])/16 - (49*f[7, 96])/16 + (1243*f[7, 97])/48 + 
       (1243*f[7, 98])/48 - (1163*f[7, 99])/48 - (2947*f[7, 100])/24 - 
       (511*f[7, 101])/48 + (245*f[7, 102])/48 - (245*f[7, 103])/24 + 
       (775*f[7, 104])/48 - (577*f[7, 105])/48 + (671*f[7, 106])/12 - 
       (383*f[7, 107])/6 + (133*f[7, 108])/12 - (41*f[7, 109])/8 - 
       (177*f[7, 110])/32 - (821*f[7, 111])/24 + 42*f[7, 112] + 
       f[7, 113]/48 + (197*f[7, 114])/48 - (1859*f[7, 115])/96 + 
       (901*f[7, 116])/48 - (8911*f[7, 117])/24 - (1459*f[7, 118])/96 + 
       (4199*f[7, 119])/96 + (101*f[7, 120])/4 - (93*f[7, 121])/8 + 
       (241*f[7, 122])/6 + (69*f[7, 123])/4 - (231*f[7, 124])/8 - 
       (73*f[7, 125])/6 + (1465*f[7, 126])/48 + 4*f[7, 136] + 
       (97*f[7, 137])/4 + (371*f[7, 138])/16 + 2*f[7, 145] + 8*f[7, 146] + 
       7*f[7, 147] - (47*f[7, 148])/2 - (1001*f[7, 149])/16 - 
       (215*f[7, 150])/24)*HPL[{1}, 1 - v]*SPw5f10[u, v] + 
     (4*f[7, 136] + (97*f[7, 137])/4 + (371*f[7, 138])/16 - 2*f[7, 145] - 
       8*f[7, 146] - 7*f[7, 147] + (47*f[7, 148])/2 + (1001*f[7, 149])/16 + 
       (215*f[7, 150])/24)*HPL[{1}, 1 - u]*SPw5f10[v, u] + 
     (-f[7, 65] + f[7, 66] + f[7, 67]/2 + 2*f[7, 68] + 2*f[7, 69] - 
       f[7, 70]/2 + f[7, 71]/2 - 2*f[7, 72] + 2*f[7, 73] + 2*f[7, 74] - 
       f[7, 75]/2 - 3*f[7, 76] + (5*f[7, 77])/2 - f[7, 78] + (5*f[7, 79])/4 + 
       (3*f[7, 80])/4 + 2*f[7, 81] - 6*f[7, 82] - 5*f[7, 83] - 
       (5*f[7, 84])/4 + (5*f[7, 85])/2 + 6*f[7, 86] + 3*f[7, 87] - 
       (5*f[7, 88])/4 + f[7, 89]/2 + (3*f[7, 90])/4 + 2*f[7, 91] + 
       (5*f[7, 92])/2 + 2*f[7, 93] + (3*f[7, 94])/4 + (17*f[7, 95])/4 - 
       f[7, 96] - 3*f[7, 97] - 3*f[7, 98] + 2*f[7, 99] + 16*f[7, 100] + 
       2*f[7, 101] + f[7, 102] + f[7, 103]/2 + f[7, 104]/2 + 
       (5*f[7, 105])/4 - 10*f[7, 106] + 10*f[7, 107] - (5*f[7, 108])/2 - 
       2*f[7, 109] + 2*f[7, 111] - (15*f[7, 112])/4 + f[7, 113]/4 - 
       (5*f[7, 114])/4 - (7*f[7, 115])/4 - (5*f[7, 116])/4 + 52*f[7, 117] + 
       (3*f[7, 118])/4 - 7*f[7, 119] - 4*f[7, 120] + (5*f[7, 121])/2 - 
       7*f[7, 122] - (5*f[7, 123])/2 + 5*f[7, 124] + 4*f[7, 125] - 
       (15*f[7, 126])/4 - 4*f[7, 136] - (113*f[7, 137])/4 - 
       (419*f[7, 138])/16 + 2*f[7, 145] + 8*f[7, 146] + 6*f[7, 147] - 
       25*f[7, 148] - (969*f[7, 149])/16 - (155*f[7, 150])/24)*
      HPL[{1}, 1 - v]*SPw5f10[v, u] + f[7, 65]*HPL[{1}, 1 - u]*
      SPw5f12[u, v] + (-f[7, 65]/2 + f[7, 66]/2 + f[7, 67]/4 + f[7, 68] + 
       f[7, 69] - f[7, 70]/4 + f[7, 71]/4 - f[7, 72] + f[7, 73] + f[7, 74] - 
       (3*f[7, 76])/2 + (7*f[7, 77])/4 - f[7, 78]/2 + f[7, 79]/2 + 
       f[7, 80]/2 - 3*f[7, 82] - 2*f[7, 83] - f[7, 84]/2 + (5*f[7, 85])/4 + 
       (13*f[7, 86])/4 + (5*f[7, 87])/4 - f[7, 88]/2 + f[7, 90]/2 + 
       3*f[7, 91] + (5*f[7, 92])/4 + f[7, 93] + f[7, 94] + (9*f[7, 95])/4 - 
       f[7, 96]/2 - f[7, 97] - f[7, 98] + f[7, 99] + 8*f[7, 100] + 
       (5*f[7, 101])/4 + f[7, 103]/2 - f[7, 104]/2 + f[7, 105]/2 - 
       4*f[7, 106] + 6*f[7, 107] - f[7, 108] - (3*f[7, 109])/4 - 
       f[7, 110]/4 + (5*f[7, 111])/4 - (7*f[7, 112])/4 + f[7, 113]/2 - 
       f[7, 114]/2 - (3*f[7, 116])/4 + 24*f[7, 117] + f[7, 118] - 
       3*f[7, 119] - 2*f[7, 120] + f[7, 121] - (11*f[7, 122])/4 - f[7, 123] + 
       2*f[7, 124] + (3*f[7, 125])/2 - (7*f[7, 126])/4 - f[7, 137] - 
       f[7, 138]/2 + f[7, 148] + 2*f[7, 149] + (3*f[7, 150])/2)*
      HPL[{1}, 1 - u]*SPw5f16[u, v] + (-f[7, 137] - f[7, 138]/2 - f[7, 148] - 
       2*f[7, 149] - (3*f[7, 150])/2)*HPL[{1}, 1 - v]*SPw5f16[v, u] + 
     (f[7, 131] - f[7, 141] - f[7, 142])*HPL[{1}, 1 - u]*SPw5f3[u, v] + 
     (f[7, 131] - f[7, 142])*HPL[{1}, 1 - v]*SPw5f3[u, v] + 
     (f[7, 131] + f[7, 142])*HPL[{1}, 1 - u]*SPw5f3[v, u] + 
     (f[7, 131] + f[7, 141] + f[7, 142])*HPL[{1}, 1 - v]*SPw5f3[v, u] + 
     f[7, 149]*HPL[{1}, 1 - u]*SPw5f4[u, v] - f[7, 149]*HPL[{1}, 1 - v]*
      SPw5f4[v, u] + (-f[7, 25] - f[7, 29] - f[7, 51] - 4*f[7, 52] - 
       f[7, 54] - f[7, 56]/2 + (5*f[7, 57])/4 + 14*f[7, 58] + f[7, 59]/3 + 
       (3*f[7, 60])/8 + f[7, 61]/4 - (91*f[7, 62])/24 - (91*f[7, 63])/24 + 
       (91*f[7, 64])/24 - (35*f[7, 65])/4 + (17*f[7, 66])/2 - 
       (9*f[7, 67])/4 + 19*f[7, 68] + 19*f[7, 69] - (19*f[7, 70])/4 + 
       (19*f[7, 71])/4 - 19*f[7, 72] + 21*f[7, 73] + 19*f[7, 74] - 
       (47*f[7, 75])/12 - (199*f[7, 76])/8 + (115*f[7, 77])/8 - 
       (19*f[7, 78])/2 + (167*f[7, 79])/12 + (5*f[7, 80])/3 + 49*f[7, 81] - 
       (373*f[7, 82])/6 - 44*f[7, 83] - (113*f[7, 84])/12 + 
       (475*f[7, 85])/24 + (647*f[7, 86])/12 + (293*f[7, 87])/12 - 
       (109*f[7, 88])/12 + (223*f[7, 89])/24 + (145*f[7, 90])/24 - 
       (214*f[7, 91])/3 + (133*f[7, 92])/4 + (385*f[7, 93])/24 - 
       (83*f[7, 94])/4 + (151*f[7, 95])/4 - 13*f[7, 96] - (67*f[7, 97])/6 - 
       (67*f[7, 98])/6 + (365*f[7, 99])/24 + (923*f[7, 100])/6 + 
       (349*f[7, 101])/24 + (997*f[7, 102])/24 - (61*f[7, 103])/12 + 
       (785*f[7, 104])/24 + (14*f[7, 105])/3 - (581*f[7, 106])/6 + 
       (463*f[7, 107])/6 - (781*f[7, 108])/24 - (243*f[7, 109])/8 + 
       (45*f[7, 110])/4 + (229*f[7, 111])/24 - (183*f[7, 112])/8 - 
       (361*f[7, 113])/24 - (119*f[7, 114])/6 - (581*f[7, 115])/24 - 
       f[7, 116]/6 + (1420*f[7, 117])/3 - (49*f[7, 118])/6 - 
       (1585*f[7, 119])/24 - (273*f[7, 120])/8 + (205*f[7, 121])/8 - 
       (1475*f[7, 122])/24 - (145*f[7, 123])/8 + (175*f[7, 124])/4 + 
       (1109*f[7, 125])/24 - (631*f[7, 126])/24 + 7*f[7, 136] - 
       23*f[7, 137] - (81*f[7, 138])/4 + 14*f[7, 146] + (11*f[7, 147])/2 + 
       (67*f[7, 148])/4 + (155*f[7, 149])/4 + (116*f[7, 150])/3)*
      HPL[{1}, 1 - u]*SPw5f5[u, v] + (f[7, 25] + f[7, 29] + f[7, 51] + 
       4*f[7, 52] + f[7, 54] + f[7, 56]/2 - (5*f[7, 57])/4 - 14*f[7, 58] - 
       f[7, 59]/3 - (3*f[7, 60])/8 - f[7, 61]/4 + (91*f[7, 62])/24 + 
       (91*f[7, 63])/24 - (91*f[7, 64])/24 + (39*f[7, 65])/4 - 
       (19*f[7, 66])/2 + (7*f[7, 67])/4 - 21*f[7, 68] - 21*f[7, 69] + 
       (21*f[7, 70])/4 - (21*f[7, 71])/4 + 21*f[7, 72] - 23*f[7, 73] - 
       21*f[7, 74] + (41*f[7, 75])/12 + (219*f[7, 76])/8 - (127*f[7, 77])/8 + 
       (21*f[7, 78])/2 - (44*f[7, 79])/3 - (23*f[7, 80])/12 - 47*f[7, 81] + 
       (421*f[7, 82])/6 + 49*f[7, 83] + (61*f[7, 84])/6 - (547*f[7, 85])/24 - 
       (731*f[7, 86])/12 - (329*f[7, 87])/12 + (59*f[7, 88])/6 - 
       (235*f[7, 89])/24 - (151*f[7, 90])/24 + (214*f[7, 91])/3 - 
       (145*f[7, 92])/4 - (457*f[7, 93])/24 + 20*f[7, 94] - (85*f[7, 95])/2 + 
       (27*f[7, 96])/2 + (79*f[7, 97])/6 + (79*f[7, 98])/6 - 
       (413*f[7, 99])/24 - (995*f[7, 100])/6 - (373*f[7, 101])/24 - 
       (1033*f[7, 102])/24 + (55*f[7, 103])/12 - (785*f[7, 104])/24 - 
       (65*f[7, 105])/12 + (617*f[7, 106])/6 - (499*f[7, 107])/6 + 
       (817*f[7, 108])/24 + (251*f[7, 109])/8 - (49*f[7, 110])/4 - 
       (301*f[7, 111])/24 + (209*f[7, 112])/8 + (367*f[7, 113])/24 + 
       (247*f[7, 114])/12 + (563*f[7, 115])/24 + (11*f[7, 116])/12 - 
       (1528*f[7, 117])/3 + (89*f[7, 118])/12 + (1693*f[7, 119])/24 + 
       (293*f[7, 120])/8 - (217*f[7, 121])/8 + (1571*f[7, 122])/24 + 
       (157*f[7, 123])/8 - (187*f[7, 124])/4 - (1157*f[7, 125])/24 + 
       (685*f[7, 126])/24 - 7*f[7, 136] + 21*f[7, 137] + (71*f[7, 138])/4 - 
       14*f[7, 146] - (11*f[7, 147])/2 - (97*f[7, 148])/4 - 
       (215*f[7, 149])/4 - (271*f[7, 150])/6)*HPL[{1}, 1 - v]*SPw5f5[u, v] + 
     (-7*f[7, 136] + 21*f[7, 137] + (71*f[7, 138])/4 + 14*f[7, 146] + 
       (11*f[7, 147])/2 + (97*f[7, 148])/4 + (215*f[7, 149])/4 + 
       (271*f[7, 150])/6)*HPL[{1}, 1 - u]*SPw5f5[v, u] + 
     (-2*f[7, 65] + 2*f[7, 66] + f[7, 67] + 4*f[7, 68] + 4*f[7, 69] - 
       f[7, 70] + f[7, 71] - 4*f[7, 72] + 4*f[7, 73] + 4*f[7, 74] + 
       f[7, 75]/2 - (13*f[7, 76])/2 + (9*f[7, 77])/2 - 2*f[7, 78] + 
       (7*f[7, 79])/4 + f[7, 80]/4 - 4*f[7, 81] - 14*f[7, 82] - 7*f[7, 83] - 
       (7*f[7, 84])/4 + (11*f[7, 85])/2 + 15*f[7, 86] + 7*f[7, 87] - 
       (7*f[7, 88])/4 + f[7, 89]/2 + f[7, 90]/4 + 6*f[7, 92] + 5*f[7, 93] + 
       (7*f[7, 94])/4 + (39*f[7, 95])/4 - f[7, 96] - 3*f[7, 97] - 
       3*f[7, 98] + 4*f[7, 99] + 30*f[7, 100] + (7*f[7, 101])/2 + 
       2*f[7, 102] + f[7, 103] + (7*f[7, 105])/4 - 14*f[7, 106] + 
       18*f[7, 107] - (7*f[7, 108])/2 - f[7, 109] + f[7, 110] + 5*f[7, 111] - 
       (29*f[7, 112])/4 - (5*f[7, 113])/4 - (7*f[7, 114])/4 + 
       (3*f[7, 115])/4 - (11*f[7, 116])/4 + 88*f[7, 117] + (7*f[7, 118])/4 - 
       (23*f[7, 119])/2 - 6*f[7, 120] + (7*f[7, 121])/2 - 10*f[7, 122] - 
       (7*f[7, 123])/2 + 7*f[7, 124] + 5*f[7, 125] - (25*f[7, 126])/4 + 
       7*f[7, 136] - 23*f[7, 137] - (81*f[7, 138])/4 - 14*f[7, 146] - 
       (11*f[7, 147])/2 - (67*f[7, 148])/4 - (155*f[7, 149])/4 - 
       (116*f[7, 150])/3)*HPL[{1}, 1 - v]*SPw5f5[v, u] + 
     (3*f[7, 65] - (5*f[7, 66])/2 - (5*f[7, 67])/4 - (19*f[7, 68])/4 - 
       5*f[7, 69] + f[7, 70] - f[7, 71] + (19*f[7, 72])/4 - (19*f[7, 73])/4 - 
       (19*f[7, 74])/4 + (105*f[7, 76])/16 - (19*f[7, 77])/4 + 
       (3*f[7, 78])/2 - (9*f[7, 79])/4 - f[7, 80] + f[7, 81]/2 + 
       (55*f[7, 82])/4 + 10*f[7, 83] + (9*f[7, 84])/4 - (11*f[7, 85])/2 - 
       15*f[7, 86] - 7*f[7, 87] + (9*f[7, 88])/4 - (5*f[7, 89])/4 - 
       f[7, 90] - 4*f[7, 91] - (95*f[7, 92])/16 - (21*f[7, 93])/4 - 
       (31*f[7, 94])/16 - (41*f[7, 95])/4 + (7*f[7, 96])/4 + 
       (39*f[7, 97])/8 + (39*f[7, 98])/8 - (9*f[7, 99])/2 - 
       (133*f[7, 100])/4 - (57*f[7, 101])/16 - (19*f[7, 102])/8 - 
       (19*f[7, 103])/16 - (5*f[7, 104])/16 - (9*f[7, 105])/4 + 
       18*f[7, 106] - 19*f[7, 107] + (9*f[7, 108])/2 + 3*f[7, 109] - 
       (3*f[7, 110])/4 - (11*f[7, 111])/2 + 8*f[7, 112] + f[7, 113]/4 + 
       (9*f[7, 114])/4 + f[7, 115] + (5*f[7, 116])/2 - (205*f[7, 117])/2 - 
       (31*f[7, 118])/16 + (217*f[7, 119])/16 + (15*f[7, 120])/2 - 
       (9*f[7, 121])/2 + (25*f[7, 122])/2 + (9*f[7, 123])/2 - 9*f[7, 124] - 
       (27*f[7, 125])/4 + 7*f[7, 126] + 8*f[7, 137] + (57*f[7, 138])/8)*
      HPL[{1}, 1 - u]*SPw5f7[u, v] + (3*f[7, 65] - (5*f[7, 66])/2 - 
       (5*f[7, 67])/4 - (19*f[7, 68])/4 - 5*f[7, 69] + f[7, 70] - f[7, 71] + 
       (19*f[7, 72])/4 - (19*f[7, 73])/4 - (19*f[7, 74])/4 + 
       (105*f[7, 76])/16 - (19*f[7, 77])/4 + (5*f[7, 78])/2 - 
       (9*f[7, 79])/4 - f[7, 80] + f[7, 81]/2 + (55*f[7, 82])/4 + 
       10*f[7, 83] + (9*f[7, 84])/4 - (11*f[7, 85])/2 - 15*f[7, 86] - 
       7*f[7, 87] + (9*f[7, 88])/4 - (5*f[7, 89])/4 - f[7, 90] - 4*f[7, 91] - 
       (95*f[7, 92])/16 - (21*f[7, 93])/4 - (31*f[7, 94])/16 - 
       (41*f[7, 95])/4 + (7*f[7, 96])/4 + (39*f[7, 97])/8 + (39*f[7, 98])/8 - 
       (9*f[7, 99])/2 - (133*f[7, 100])/4 - (57*f[7, 101])/16 - 
       (19*f[7, 102])/8 - (19*f[7, 103])/16 - (5*f[7, 104])/16 - 
       (9*f[7, 105])/4 + 18*f[7, 106] - 19*f[7, 107] + (9*f[7, 108])/2 + 
       3*f[7, 109] - (3*f[7, 110])/4 - (11*f[7, 111])/2 + 8*f[7, 112] + 
       f[7, 113]/4 + (9*f[7, 114])/4 + f[7, 115] + (5*f[7, 116])/2 - 
       (205*f[7, 117])/2 - (31*f[7, 118])/16 + (217*f[7, 119])/16 + 
       (15*f[7, 120])/2 - (9*f[7, 121])/2 + (25*f[7, 122])/2 + 
       (9*f[7, 123])/2 - 9*f[7, 124] - (27*f[7, 125])/4 + 7*f[7, 126] + 
       8*f[7, 137] + (57*f[7, 138])/8)*HPL[{1}, 1 - v]*SPw5f7[v, u] + 
     (-f[7, 65] + f[7, 66] + f[7, 67]/2 + 2*f[7, 68] + 2*f[7, 69] - 
       f[7, 70]/2 + f[7, 71]/2 - 2*f[7, 72] + 2*f[7, 73] + 2*f[7, 74] - 
       (5*f[7, 76])/2 + (3*f[7, 77])/2 - f[7, 78] + (3*f[7, 79])/4 + 
       f[7, 80]/4 - 6*f[7, 82] - 3*f[7, 83] - (3*f[7, 84])/4 + 
       (5*f[7, 85])/2 + (11*f[7, 86])/2 + (5*f[7, 87])/2 - (3*f[7, 88])/4 + 
       f[7, 89]/2 + f[7, 90]/4 + (5*f[7, 92])/2 + (3*f[7, 93])/2 + 
       (3*f[7, 94])/4 + (15*f[7, 95])/4 - f[7, 96]/2 - 2*f[7, 97] - 
       2*f[7, 98] + (3*f[7, 99])/2 + 12*f[7, 100] + f[7, 101] + f[7, 102] + 
       f[7, 103]/2 + (3*f[7, 105])/4 - 6*f[7, 106] + 6*f[7, 107] - 
       (3*f[7, 108])/2 - f[7, 109] + f[7, 110]/2 + 2*f[7, 111] - 
       (11*f[7, 112])/4 - f[7, 113]/4 - (3*f[7, 114])/4 - f[7, 115]/4 - 
       (3*f[7, 116])/4 + 36*f[7, 117] + (3*f[7, 118])/4 - (9*f[7, 119])/2 - 
       (5*f[7, 120])/2 + (3*f[7, 121])/2 - 4*f[7, 122] - (3*f[7, 123])/2 + 
       3*f[7, 124] + 2*f[7, 125] - (9*f[7, 126])/4 - 2*f[7, 137] - 
       (5*f[7, 138])/4 - f[7, 147]/2 + (5*f[7, 148])/4 + 5*f[7, 149] + 
       (9*f[7, 150])/4)*HPL[{1}, 1 - u]*SPw5f9[u, v] + 
     (2*f[7, 137] + (5*f[7, 138])/4 - f[7, 147]/2 + (5*f[7, 148])/4 + 
       5*f[7, 149] + (9*f[7, 150])/4)*HPL[{1}, 1 - v]*SPw5f9[u, v] + 
     (f[7, 65] - f[7, 66] - f[7, 67]/2 - 2*f[7, 68] - 2*f[7, 69] + 
       f[7, 70]/2 - f[7, 71]/2 + 2*f[7, 72] - 2*f[7, 73] - 2*f[7, 74] + 
       (5*f[7, 76])/2 - (3*f[7, 77])/2 + f[7, 78] - (3*f[7, 79])/4 - 
       f[7, 80]/4 + 6*f[7, 82] + 3*f[7, 83] + (3*f[7, 84])/4 - 
       (5*f[7, 85])/2 - (11*f[7, 86])/2 - (5*f[7, 87])/2 + (3*f[7, 88])/4 - 
       f[7, 89]/2 - f[7, 90]/4 - (5*f[7, 92])/2 - (3*f[7, 93])/2 - 
       (3*f[7, 94])/4 - (15*f[7, 95])/4 + f[7, 96]/2 + 2*f[7, 97] + 
       2*f[7, 98] - (3*f[7, 99])/2 - 12*f[7, 100] - f[7, 101] - f[7, 102] - 
       f[7, 103]/2 - (3*f[7, 105])/4 + 6*f[7, 106] - 6*f[7, 107] + 
       (3*f[7, 108])/2 + f[7, 109] - f[7, 110]/2 - 2*f[7, 111] + 
       (11*f[7, 112])/4 + f[7, 113]/4 + (3*f[7, 114])/4 + f[7, 115]/4 + 
       (3*f[7, 116])/4 - 36*f[7, 117] - (3*f[7, 118])/4 + (9*f[7, 119])/2 + 
       (5*f[7, 120])/2 - (3*f[7, 121])/2 + 4*f[7, 122] + (3*f[7, 123])/2 - 
       3*f[7, 124] - 2*f[7, 125] + (9*f[7, 126])/4 + 2*f[7, 137] + 
       (5*f[7, 138])/4 + f[7, 147]/2 - (5*f[7, 148])/4 - 5*f[7, 149] - 
       (9*f[7, 150])/4)*HPL[{1}, 1 - u]*SPw5f9[v, u] + 
     (-2*f[7, 137] - (5*f[7, 138])/4 + f[7, 147]/2 - (5*f[7, 148])/4 - 
       5*f[7, 149] - (9*f[7, 150])/4)*HPL[{1}, 1 - v]*SPw5f9[v, u] + 
     f[7, 64]*SPw6f1[u, v] + (f[7, 69] + f[7, 137])*SPw6f10[u, v] + 
     f[7, 137]*SPw6f10[v, u] + f[7, 55]*SPw6f11[u, v] + 
     f[7, 30]*SPw6f12[u, v] + (f[7, 50] + f[7, 53])*SPw6f13[u, v] - 
     f[7, 55]*SPw6f13[v, u] + f[7, 67]*SPw6f14[u, v] + 
     (f[7, 70] - f[7, 71])*SPw6f14[v, u] + f[7, 68]*SPw6f15[u, v] + 
     (-f[7, 72] + f[7, 73] + f[7, 74])*SPw6f16[u, v] + 
     f[7, 66]*SPw6f17[u, v] + f[7, 125]*SPw6f18[u, v] + 
     f[7, 107]*SPw6f19[v, u] + f[7, 71]*SPw6f2[u, v] + 
     f[7, 101]*SPw6f20[u, v] + f[7, 110]*SPw6f21[v, u] + 
     f[7, 112]*SPw6f22[v, u] - f[7, 107]*SPw6f23[u, v] + 
     (f[7, 82] + f[7, 91])*SPw6f23[v, u] + f[7, 102]*SPw6f24[v, u] + 
     f[7, 85]*SPw6f25[v, u] + f[7, 77]*SPw6f26[u, v] + 
     f[7, 92]*SPw6f26[v, u] + f[7, 87]*SPw6f27[v, u] + 
     f[7, 122]*SPw6f28[u, v] + (4*f[7, 83] + f[7, 92] - f[7, 93] + f[7, 94] - 
       f[7, 102] + f[7, 103] - f[7, 104] + f[7, 118])*SPw6f29[u, v] + 
     f[7, 60]*SPw6f3[v, u] + (f[7, 96] - f[7, 102])*SPw6f30[u, v] + 
     f[7, 115]*SPw6f30[v, u] + f[7, 111]*SPw6f31[v, u] + 
     f[7, 95]*SPw6f32[u, v] + (f[7, 76] + f[7, 138])*SPw6f33[u, v] + 
     f[7, 138]*SPw6f33[v, u] + f[7, 89]*SPw6f34[u, v] + 
     (-f[7, 77] - 4*f[7, 100] - f[7, 101] - 4*f[7, 107] - 8*f[7, 117] + 
       f[7, 119])*SPw6f35[u, v] + (-4*f[7, 83] + 4*f[7, 91] - f[7, 92] + 
       f[7, 93])*SPw6f35[v, u] + (f[7, 116] + f[7, 126])*SPw6f36[u, v] - 
     f[7, 95]*SPw6f36[v, u] + (f[7, 109] - f[7, 111])*SPw6f37[u, v] + 
     f[7, 86]*SPw6f37[v, u] + (-f[7, 76] + f[7, 119] - f[7, 138])*
      SPw6f38[u, v] + (f[7, 93] - f[7, 138])*SPw6f38[v, u] + 
     f[7, 81]*SPw6f39[v, u] + f[7, 12]*SPw6f4[u, v] + 
     (f[7, 75]/4 - f[7, 79]/4 - f[7, 80]/4 - f[7, 81] + f[7, 82] + 
       2*f[7, 83] + f[7, 84]/4 - f[7, 85]/4 - f[7, 86]/4 - f[7, 87]/4 + 
       f[7, 88]/4 - f[7, 90]/4 - f[7, 92]/4 - (3*f[7, 93])/4 + f[7, 94]/4 - 
       f[7, 95]/4 + f[7, 97] + f[7, 98] - f[7, 99]/4 - f[7, 102]/4 - 
       f[7, 104]/2 - f[7, 105]/4 + 2*f[7, 106] + f[7, 108]/2 + f[7, 109]/2 - 
       f[7, 110]/4 + f[7, 112]/2 - f[7, 113]/4 + f[7, 114]/4 + 
       (3*f[7, 115])/4 + f[7, 116]/4 - 4*f[7, 117] + f[7, 118]/4 + 
       f[7, 119]/2 + f[7, 120]/2 - f[7, 121]/2 + (3*f[7, 122])/2 + 
       f[7, 123]/2 - f[7, 124] - f[7, 125] + (3*f[7, 126])/4 - 2*f[7, 150])*
      SPw6f40[u, v] + (-f[7, 75]/4 + f[7, 79]/4 + f[7, 80]/4 - f[7, 82] - 
       2*f[7, 83] - f[7, 84]/4 + f[7, 85]/4 + f[7, 86]/4 + f[7, 87]/4 - 
       f[7, 88]/4 + f[7, 90]/4 + f[7, 92]/4 + (3*f[7, 93])/4 - f[7, 94]/4 + 
       f[7, 95]/4 + f[7, 99]/4 + f[7, 102]/4 + f[7, 104]/2 + f[7, 105]/4 - 
       2*f[7, 106] - f[7, 108]/2 - f[7, 109]/2 + f[7, 110]/4 - f[7, 112]/2 + 
       f[7, 113]/4 - f[7, 114]/4 - (3*f[7, 115])/4 - f[7, 116]/4 + 
       4*f[7, 117] - f[7, 118]/4 - f[7, 119]/2 - f[7, 120]/2 + f[7, 121]/2 - 
       (3*f[7, 122])/2 - f[7, 123]/2 + f[7, 124] + f[7, 125] - 
       (3*f[7, 126])/4 + 2*f[7, 150])*SPw6f40[v, u] + 
     f[7, 65]*SPw6f41[u, v] + (-4*f[7, 65] + 6*f[7, 66] + 3*f[7, 67] + 
       12*f[7, 68] + 12*f[7, 69] - 3*f[7, 70] + 3*f[7, 71] - 12*f[7, 72] + 
       12*f[7, 73] + 12*f[7, 74] - 18*f[7, 76] + 12*f[7, 77] - 6*f[7, 78] + 
       6*f[7, 79] + 2*f[7, 80] - 4*f[7, 81] - 44*f[7, 82] - 28*f[7, 83] - 
       6*f[7, 84] + 17*f[7, 85] + 42*f[7, 86] + 20*f[7, 87] - 6*f[7, 88] + 
       2*f[7, 89] + 2*f[7, 90] + 18*f[7, 92] + 16*f[7, 93] + 4*f[7, 94] + 
       28*f[7, 95] - 3*f[7, 96] - 14*f[7, 97] - 14*f[7, 98] + 12*f[7, 99] + 
       84*f[7, 100] + 9*f[7, 101] + 7*f[7, 102] + 3*f[7, 103] + 2*f[7, 104] + 
       6*f[7, 105] - 48*f[7, 106] + 48*f[7, 107] - 12*f[7, 108] - 
       6*f[7, 109] + 4*f[7, 110] + 14*f[7, 111] - 22*f[7, 112] - 
       2*f[7, 113] - 6*f[7, 114] - 2*f[7, 115] - 8*f[7, 116] + 
       264*f[7, 117] + 4*f[7, 118] - 34*f[7, 119] - 19*f[7, 120] + 
       12*f[7, 121] - 34*f[7, 122] - 12*f[7, 123] + 24*f[7, 124] + 
       18*f[7, 125] - 20*f[7, 126] - 12*f[7, 137] - 11*f[7, 138] - 
       2*f[7, 147] + 12*f[7, 148] + 34*f[7, 149] + 18*f[7, 150])*
      SPw6f42[u, v] + (-12*f[7, 137] - 11*f[7, 138] + 2*f[7, 147] - 
       12*f[7, 148] - 34*f[7, 149] - 18*f[7, 150])*SPw6f42[v, u] + 
     (-2*f[7, 65] + 2*f[7, 66] + f[7, 67] + 4*f[7, 68] + 4*f[7, 69] - 
       f[7, 70] + f[7, 71] - 4*f[7, 72] + 4*f[7, 73] + 4*f[7, 74] + 
       f[7, 75]/2 - (13*f[7, 76])/2 + (9*f[7, 77])/2 - 2*f[7, 78] + 
       (7*f[7, 79])/4 + f[7, 80]/4 - 4*f[7, 81] - 14*f[7, 82] - 7*f[7, 83] - 
       (7*f[7, 84])/4 + (11*f[7, 85])/2 + 15*f[7, 86] + 7*f[7, 87] - 
       (7*f[7, 88])/4 + f[7, 89]/2 + f[7, 90]/4 + 6*f[7, 92] + 5*f[7, 93] + 
       (7*f[7, 94])/4 + (39*f[7, 95])/4 - f[7, 96] - 3*f[7, 97] - 
       3*f[7, 98] + 4*f[7, 99] + 30*f[7, 100] + (7*f[7, 101])/2 + 
       2*f[7, 102] + f[7, 103] + (7*f[7, 105])/4 - 14*f[7, 106] + 
       18*f[7, 107] - (7*f[7, 108])/2 - f[7, 109] + f[7, 110] + 5*f[7, 111] - 
       (29*f[7, 112])/4 - (5*f[7, 113])/4 - (7*f[7, 114])/4 + 
       (3*f[7, 115])/4 - (11*f[7, 116])/4 + 88*f[7, 117] + (7*f[7, 118])/4 - 
       (23*f[7, 119])/2 - 6*f[7, 120] + (7*f[7, 121])/2 - 10*f[7, 122] - 
       (7*f[7, 123])/2 + 7*f[7, 124] + 5*f[7, 125] - (25*f[7, 126])/4 - 
       2*f[7, 137] - (5*f[7, 138])/2 + (15*f[7, 148])/2 + 15*f[7, 149] + 
       (13*f[7, 150])/2)*SPw6f43[u, v] + (f[7, 65] - f[7, 66] - f[7, 67]/2 - 
       2*f[7, 68] - 2*f[7, 69] + f[7, 70]/2 - f[7, 71]/2 + 2*f[7, 72] - 
       2*f[7, 73] - 2*f[7, 74] - f[7, 75]/2 + (5*f[7, 76])/2 - 
       (3*f[7, 77])/2 + f[7, 78] - (3*f[7, 79])/4 - f[7, 80]/4 + 2*f[7, 81] + 
       8*f[7, 82] + 5*f[7, 83] + (3*f[7, 84])/4 - 3*f[7, 85] - 7*f[7, 86] - 
       3*f[7, 87] + (3*f[7, 88])/4 - f[7, 89]/2 - f[7, 90]/4 - 3*f[7, 92] - 
       3*f[7, 93] - (3*f[7, 94])/4 - (19*f[7, 95])/4 + f[7, 96]/2 + 
       2*f[7, 97] + 2*f[7, 98] - 2*f[7, 99] - 12*f[7, 100] - f[7, 101] - 
       (3*f[7, 102])/2 - f[7, 103]/2 - (3*f[7, 105])/4 + 6*f[7, 106] - 
       6*f[7, 107] + (3*f[7, 108])/2 + f[7, 109] - f[7, 110] - 3*f[7, 111] + 
       (13*f[7, 112])/4 + f[7, 113]/4 + (3*f[7, 114])/4 - (3*f[7, 115])/4 + 
       (3*f[7, 116])/4 - 36*f[7, 117] - (3*f[7, 118])/4 + (9*f[7, 119])/2 + 
       (5*f[7, 120])/2 - (3*f[7, 121])/2 + 4*f[7, 122] + (3*f[7, 123])/2 - 
       3*f[7, 124] - 2*f[7, 125] + (9*f[7, 126])/4 - 2*f[7, 137] - 
       (5*f[7, 138])/2 - (15*f[7, 148])/2 - 15*f[7, 149] - (13*f[7, 150])/2)*
      SPw6f43[v, u] + (-2*f[7, 66] - f[7, 67] - 4*f[7, 68] - 4*f[7, 69] + 
       f[7, 70] - f[7, 71] + 4*f[7, 72] - 4*f[7, 73] - 4*f[7, 74] + 
       7*f[7, 76] - 4*f[7, 77] + 2*f[7, 78] - 2*f[7, 79] + 4*f[7, 81] + 
       16*f[7, 82] + 8*f[7, 83] + 2*f[7, 84] - 6*f[7, 85] - 16*f[7, 86] - 
       8*f[7, 87] + 2*f[7, 88] + 4*f[7, 91] - 7*f[7, 92] - 6*f[7, 93] - 
       f[7, 94] - 10*f[7, 95] + 4*f[7, 97] + 4*f[7, 98] - 4*f[7, 99] - 
       28*f[7, 100] - 3*f[7, 101] - 2*f[7, 102] - f[7, 103] - f[7, 104] - 
       2*f[7, 105] + 16*f[7, 106] - 16*f[7, 107] + 4*f[7, 108] - 
       2*f[7, 110] - 4*f[7, 111] + 8*f[7, 112] + 2*f[7, 113] + 2*f[7, 114] + 
       4*f[7, 116] - 88*f[7, 117] - f[7, 118] + 11*f[7, 119] + 6*f[7, 120] - 
       4*f[7, 121] + 12*f[7, 122] + 4*f[7, 123] - 8*f[7, 124] - 6*f[7, 125] + 
       8*f[7, 126] + 4*f[7, 137] + 5*f[7, 138] - 6*f[7, 148] - 12*f[7, 149] - 
       6*f[7, 150])*SPw6f44[u, v] + (4*f[7, 137] + 5*f[7, 138] + 
       6*f[7, 148] + 12*f[7, 149] + 6*f[7, 150])*SPw6f44[v, u] + 
     2*f[7, 131]*SPw6f45[u, v] + 2*f[7, 134]*SPw6f46[u, v] + 
     (3*f[7, 65] - (5*f[7, 66])/2 - (5*f[7, 67])/4 - (19*f[7, 68])/4 - 
       5*f[7, 69] + f[7, 70] - f[7, 71] + (19*f[7, 72])/4 - (19*f[7, 73])/4 - 
       (19*f[7, 74])/4 + (105*f[7, 76])/16 - (19*f[7, 77])/4 + 
       (5*f[7, 78])/2 - (9*f[7, 79])/4 - f[7, 80] + f[7, 81]/2 + 
       (55*f[7, 82])/4 + 10*f[7, 83] + (9*f[7, 84])/4 - (11*f[7, 85])/2 - 
       15*f[7, 86] - 7*f[7, 87] + (9*f[7, 88])/4 - (5*f[7, 89])/4 - 
       f[7, 90] - 4*f[7, 91] - (95*f[7, 92])/16 - (21*f[7, 93])/4 - 
       (31*f[7, 94])/16 - (41*f[7, 95])/4 + (7*f[7, 96])/4 + 
       (39*f[7, 97])/8 + (39*f[7, 98])/8 - (9*f[7, 99])/2 - 
       (133*f[7, 100])/4 - (57*f[7, 101])/16 - (19*f[7, 102])/8 - 
       (19*f[7, 103])/16 - (5*f[7, 104])/16 - (9*f[7, 105])/4 + 
       18*f[7, 106] - 19*f[7, 107] + (9*f[7, 108])/2 + 3*f[7, 109] - 
       (3*f[7, 110])/4 - (11*f[7, 111])/2 + 8*f[7, 112] + f[7, 113]/4 + 
       (9*f[7, 114])/4 + f[7, 115] + (5*f[7, 116])/2 - (205*f[7, 117])/2 - 
       (31*f[7, 118])/16 + (217*f[7, 119])/16 + (15*f[7, 120])/2 - 
       (9*f[7, 121])/2 + (25*f[7, 122])/2 + (9*f[7, 123])/2 - 9*f[7, 124] - 
       (27*f[7, 125])/4 + 7*f[7, 126] + 8*f[7, 137] + (57*f[7, 138])/8)*
      SPw6f47[u, v] - 2*f[7, 139]*SPw6f48[u, v] - 2*f[7, 144]*SPw6f49[u, v] + 
     f[7, 22]*SPw6f5[v, u] - 2*f[7, 142]*SPw6f50[u, v] + 
     2*f[7, 149]*SPw6f51[u, v] - 2*f[7, 143]*SPw6f52[u, v] + 
     (f[7, 75] - f[7, 95] + f[7, 99] - 2*f[7, 150])*SPw6f53[u, v] + 
     (f[7, 65] - f[7, 66] - f[7, 67]/2 - 2*f[7, 68] - 2*f[7, 69] + 
       f[7, 70]/2 - f[7, 71]/2 + 2*f[7, 72] - 2*f[7, 73] - 2*f[7, 74] + 
       (5*f[7, 76])/2 - (3*f[7, 77])/2 + f[7, 78] - (3*f[7, 79])/4 - 
       f[7, 80]/4 + 6*f[7, 82] + 3*f[7, 83] + (3*f[7, 84])/4 - 
       (5*f[7, 85])/2 - (11*f[7, 86])/2 - (5*f[7, 87])/2 + (3*f[7, 88])/4 - 
       f[7, 89]/2 - f[7, 90]/4 - (5*f[7, 92])/2 - (3*f[7, 93])/2 - 
       (3*f[7, 94])/4 - (15*f[7, 95])/4 + f[7, 96]/2 + 2*f[7, 97] + 
       2*f[7, 98] - (3*f[7, 99])/2 - 12*f[7, 100] - f[7, 101] - f[7, 102] - 
       f[7, 103]/2 - (3*f[7, 105])/4 + 6*f[7, 106] - 6*f[7, 107] + 
       (3*f[7, 108])/2 + f[7, 109] - f[7, 110]/2 - 2*f[7, 111] + 
       (11*f[7, 112])/4 + f[7, 113]/4 + (3*f[7, 114])/4 + f[7, 115]/4 + 
       (3*f[7, 116])/4 - 36*f[7, 117] - (3*f[7, 118])/4 + (9*f[7, 119])/2 + 
       (5*f[7, 120])/2 - (3*f[7, 121])/2 + 4*f[7, 122] + (3*f[7, 123])/2 - 
       3*f[7, 124] - 2*f[7, 125] + (9*f[7, 126])/4 + f[7, 147] - 
       (5*f[7, 148])/2 - 10*f[7, 149] - (9*f[7, 150])/2)*SPw6f54[u, v] + 
     f[7, 21]*SPw6f6[v, u] + f[7, 19]*SPw6f7[u, v] + f[7, 20]*SPw6f8[u, v] + 
     f[7, 72]*SPw6f9[v, u]
 
SPuvCoproductEntriesWeight7[v] = 
    ((109*f[7, 12])/4320 - f[7, 16]/54 + f[7, 17]/54 + (19*f[7, 19])/576 + 
       (13*f[7, 20])/270 + f[7, 128]/24 - (5*f[7, 130])/72 + f[7, 131]/18 - 
       (67*f[7, 141])/720 + (5*f[7, 142])/108 + (131*f[7, 143])/960)*
      HPL[{1}, 1 - u]^6 + (-f[7, 4]/80 + (5*f[7, 12])/72 - f[7, 16]/18 + 
       f[7, 17]/18 + (23*f[7, 19])/120 + (29*f[7, 20])/72 + f[7, 128]/30 - 
       (22*f[7, 130])/45 - (43*f[7, 131])/180 - (3*f[7, 141])/40 + 
       (11*f[7, 142])/120 + (23*f[7, 143])/96)*HPL[{1}, 1 - u]^5*
      HPL[{1}, 1 - v] + ((25*f[7, 12])/288 - (5*f[7, 16])/72 + 
       (19*f[7, 17])/144 - (5*f[7, 19])/64 - (25*f[7, 20])/144 + 
       f[7, 128]/12 + f[7, 130]/9 + (55*f[7, 131])/144 - (31*f[7, 141])/96 - 
       (49*f[7, 142])/144 + (17*f[7, 143])/96)*HPL[{1}, 1 - u]^4*
      HPL[{1}, 1 - v]^2 + ((-25*f[7, 12])/216 + (5*f[7, 16])/54 - 
       (10*f[7, 17])/27 - (5*f[7, 19])/48 - (5*f[7, 20])/27 - f[7, 128]/9 + 
       (5*f[7, 130])/27 + (29*f[7, 131])/108 + (7*f[7, 141])/18 + 
       f[7, 142]/108 + (7*f[7, 143])/36)*HPL[{1}, 1 - u]^3*
      HPL[{1}, 1 - v]^3 + (-f[7, 53]/8 - (5*f[7, 62])/32 - (5*f[7, 63])/32 + 
       (5*f[7, 64])/32 + (5*f[7, 75])/32 - (5*f[7, 79])/32 - 
       (5*f[7, 80])/32 - (5*f[7, 81])/4 + f[7, 82]/2 + (5*f[7, 83])/4 + 
       (5*f[7, 84])/32 - (5*f[7, 85])/32 - (5*f[7, 86])/32 - 
       (5*f[7, 87])/32 + (5*f[7, 88])/32 + (5*f[7, 89])/32 - 
       (5*f[7, 90])/32 - (5*f[7, 91])/8 - (5*f[7, 92])/32 - 
       (15*f[7, 93])/32 + (5*f[7, 94])/32 - (5*f[7, 95])/32 - 
       (5*f[7, 96])/16 + (7*f[7, 97])/16 + (15*f[7, 98])/16 + 
       (5*f[7, 100])/4 + (5*f[7, 101])/32 - (5*f[7, 103])/16 - 
       (5*f[7, 104])/32 - (15*f[7, 105])/32 + (5*f[7, 106])/8 + 
       (5*f[7, 107])/8 - (5*f[7, 108])/32 - (5*f[7, 109])/32 - 
       (5*f[7, 110])/16 - (5*f[7, 111])/32 + (15*f[7, 112])/32 - 
       (5*f[7, 113])/16 - (5*f[7, 114])/32 + (5*f[7, 115])/32 + 
       (15*f[7, 116])/32 + (5*f[7, 117])/8 - (5*f[7, 118])/16 - 
       (5*f[7, 119])/16 + (5*f[7, 120])/32 - (5*f[7, 121])/32 + 
       (25*f[7, 122])/32 + (5*f[7, 123])/32 - (5*f[7, 124])/16 - 
       (5*f[7, 125])/32 + (5*f[7, 126])/8 - (5*f[7, 150])/8)*
      HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u] + 
     (f[7, 56]/8 - f[7, 58]/2 - f[7, 59]/12 + f[7, 60]/16 + f[7, 61]/4 + 
       (25*f[7, 62])/96 + (25*f[7, 63])/96 - (25*f[7, 64])/96 + 
       (5*f[7, 65])/8 - f[7, 66]/2 - f[7, 68] - f[7, 69] + f[7, 70]/4 - 
       f[7, 71]/4 + f[7, 72] - f[7, 73] - f[7, 74] - f[7, 75]/48 + 
       (11*f[7, 76])/8 - (15*f[7, 77])/16 + f[7, 78]/4 - (13*f[7, 79])/24 + 
       f[7, 80]/48 - (3*f[7, 81])/2 + (19*f[7, 82])/6 + (9*f[7, 83])/4 + 
       (5*f[7, 84])/12 - (53*f[7, 85])/48 - (73*f[7, 86])/24 - 
       (65*f[7, 87])/48 + f[7, 88]/3 - (43*f[7, 89])/96 - (5*f[7, 90])/48 + 
       (59*f[7, 91])/24 - (23*f[7, 92])/16 - (47*f[7, 93])/48 + 
       (13*f[7, 94])/16 - (33*f[7, 95])/16 + (5*f[7, 96])/8 + 
       (35*f[7, 97])/48 + (35*f[7, 98])/48 - (83*f[7, 99])/96 - 
       (91*f[7, 100])/12 - (79*f[7, 101])/96 - (169*f[7, 102])/96 + 
       f[7, 103]/48 - (113*f[7, 104])/96 - (5*f[7, 105])/48 + 
       (101*f[7, 106])/24 - (103*f[7, 107])/24 + (139*f[7, 108])/96 + 
       (39*f[7, 109])/32 - (9*f[7, 110])/32 - (73*f[7, 111])/96 + 
       (37*f[7, 112])/32 + (79*f[7, 113])/96 + (23*f[7, 114])/24 + 
       (5*f[7, 115])/6 - f[7, 116]/48 - (581*f[7, 117])/24 + 
       (19*f[7, 118])/96 + (161*f[7, 119])/48 + (51*f[7, 120])/32 - 
       (33*f[7, 121])/32 + (239*f[7, 122])/96 + (23*f[7, 123])/32 - 
       (7*f[7, 124])/4 - (167*f[7, 125])/96 + (103*f[7, 126])/96 + 
       (11*f[7, 136])/32 + (59*f[7, 137])/16 + (341*f[7, 138])/128 - 
       (27*f[7, 146])/16 - (39*f[7, 147])/32 + (5*f[7, 148])/8 + 
       (303*f[7, 149])/64 - (685*f[7, 150])/384)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]^2 + ((-2*f[7, 26])/15 - f[7, 27]/5 + f[7, 28]/15 + 
       f[7, 30]/12 - (2*f[7, 31])/15 + (2*f[7, 32])/15 + (2*f[7, 33])/5 + 
       f[7, 34]/6 - (2*f[7, 35])/15 - (7*f[7, 36])/30 + f[7, 37]/120 - 
       (8*f[7, 38])/15 - (7*f[7, 39])/30 - f[7, 40]/5 + (7*f[7, 41])/60 + 
       (7*f[7, 42])/60 + (11*f[7, 43])/30 + (11*f[7, 44])/15 - f[7, 45]/10 + 
       (7*f[7, 46])/30 + f[7, 47]/120 - f[7, 48]/5 + (51*f[7, 49])/80 + 
       f[7, 51]/240 + (11*f[7, 52])/12 - (7*f[7, 53])/40 + f[7, 54]/24 + 
       (5*f[7, 55])/6 + (911*f[7, 56])/960 + (115*f[7, 57])/384 - 
       (167*f[7, 58])/40 - (283*f[7, 59])/720 + (3053*f[7, 60])/3840 + 
       (671*f[7, 61])/384 + (749*f[7, 62])/720 + (749*f[7, 63])/720 - 
       (749*f[7, 64])/720 + (6313*f[7, 65])/640 - (3101*f[7, 66])/320 - 
       (1981*f[7, 67])/640 - (2993*f[7, 68])/160 - (9023*f[7, 69])/480 + 
       (7991*f[7, 70])/1920 - (537*f[7, 71])/128 + (9247*f[7, 72])/480 - 
       (9013*f[7, 73])/480 - (8963*f[7, 74])/480 - (307*f[7, 75])/720 + 
       (20363*f[7, 76])/768 - (59867*f[7, 77])/3840 + (1715*f[7, 78])/192 - 
       (31937*f[7, 79])/2880 - (9257*f[7, 80])/2880 - (1505*f[7, 81])/96 + 
       (199061*f[7, 82])/2880 + (4769*f[7, 83])/96 + (12709*f[7, 84])/1440 - 
       (285821*f[7, 85])/11520 - (179027*f[7, 86])/2880 - 
       (83987*f[7, 87])/2880 + (1199*f[7, 88])/144 - (15353*f[7, 89])/2880 - 
       (46859*f[7, 90])/11520 + (10733*f[7, 91])/576 - (19281*f[7, 92])/640 - 
       (277079*f[7, 93])/11520 + (113*f[7, 94])/40 - (6553*f[7, 95])/160 + 
       (11309*f[7, 96])/1920 + (21749*f[7, 97])/1152 + 
       (107401*f[7, 98])/5760 - (9761*f[7, 99])/576 - (70361*f[7, 100])/576 - 
       (67177*f[7, 101])/5760 - (60677*f[7, 102])/2880 - 
       (10451*f[7, 103])/2880 - (14431*f[7, 104])/1152 - 
       (13921*f[7, 105])/1440 + (58513*f[7, 106])/720 - 
       (46523*f[7, 107])/720 + (12535*f[7, 108])/576 + (8239*f[7, 109])/480 - 
       (36577*f[7, 110])/3840 - (58769*f[7, 111])/2880 + 
       (28201*f[7, 112])/960 + (13703*f[7, 113])/2880 + 
       (18821*f[7, 114])/1440 + (100933*f[7, 115])/11520 + 
       (2129*f[7, 116])/288 - (1166737*f[7, 117])/2880 - 
       (39451*f[7, 118])/11520 + (598853*f[7, 119])/11520 + 
       (2911*f[7, 120])/96 - (4213*f[7, 121])/240 + (142447*f[7, 122])/2880 + 
       (15631*f[7, 123])/960 - (32363*f[7, 124])/960 - 
       (38651*f[7, 125])/1440 + (75971*f[7, 126])/2880 + (2*f[7, 132])/15 - 
       f[7, 133]/12 - (2*f[7, 134])/15 + (17*f[7, 135])/120 - 
       (637*f[7, 136])/120 + (8147*f[7, 137])/240 + (9499*f[7, 138])/320 + 
       f[7, 145]/6 + 3*f[7, 146] + (61*f[7, 147])/48 - (241*f[7, 148])/96 - 
       (371*f[7, 149])/48 + (1241*f[7, 150])/288)*HPL[{0, 1}, 1 - u]^3 + 
     ((13*f[7, 26])/120 + (17*f[7, 27])/120 + f[7, 28]/120 - 
       (5*f[7, 30])/48 + (13*f[7, 31])/120 + f[7, 32]/60 + (7*f[7, 33])/40 + 
       (13*f[7, 35])/120 - f[7, 36]/120 - f[7, 37]/240 - (2*f[7, 38])/5 - 
       f[7, 39]/120 + f[7, 40]/10 + f[7, 41]/240 + f[7, 42]/240 + 
       f[7, 43]/40 + f[7, 44]/20 + (11*f[7, 45])/120 + (31*f[7, 46])/120 + 
       f[7, 47]/10 + (7*f[7, 48])/120 - (13*f[7, 49])/480 - 
       (65*f[7, 50])/192 + (49*f[7, 51])/480 - f[7, 52]/16 - 
       (101*f[7, 53])/960 + f[7, 54]/6 - (233*f[7, 55])/192 - 
       (421*f[7, 56])/1920 - (809*f[7, 57])/768 - (257*f[7, 58])/120 + 
       (983*f[7, 59])/1440 - (4663*f[7, 60])/7680 - (973*f[7, 61])/768 + 
       (7769*f[7, 62])/5760 + (7769*f[7, 63])/5760 - (7769*f[7, 64])/5760 - 
       (7459*f[7, 65])/3840 + (607*f[7, 66])/480 + (2077*f[7, 67])/960 + 
       (3169*f[7, 68])/960 + (401*f[7, 69])/120 - (337*f[7, 70])/480 + 
       (67*f[7, 71])/96 - (2503*f[7, 72])/640 + (1947*f[7, 73])/640 + 
       (6601*f[7, 74])/1920 + (113479*f[7, 75])/46080 - (1557*f[7, 76])/256 + 
       (3689*f[7, 77])/2560 - 2*f[7, 78] + (81521*f[7, 79])/46080 + 
       (61661*f[7, 80])/46080 - (1583*f[7, 81])/256 - 
       (177587*f[7, 82])/11520 - (503*f[7, 83])/48 - (48329*f[7, 84])/46080 + 
       (289487*f[7, 85])/46080 + (723821*f[7, 86])/46080 + 
       (386801*f[7, 87])/46080 - (10277*f[7, 88])/9216 - 
       (2419*f[7, 89])/11520 - (43897*f[7, 90])/46080 + 
       (10985*f[7, 91])/1152 + (29859*f[7, 92])/5120 + 
       (309203*f[7, 93])/46080 + (84019*f[7, 94])/15360 + 
       (39093*f[7, 95])/5120 + (6313*f[7, 96])/1920 - (7547*f[7, 97])/1152 - 
       (38263*f[7, 98])/5760 + (32021*f[7, 99])/9216 + (1627*f[7, 100])/288 - 
       (9701*f[7, 101])/23040 - (102709*f[7, 102])/46080 + 
       (73729*f[7, 103])/23040 - (7801*f[7, 104])/2304 + 
       (239801*f[7, 105])/46080 - (48737*f[7, 106])/5760 - 
       (1457*f[7, 107])/1440 - (1493*f[7, 108])/4608 + 
       (9443*f[7, 109])/7680 + (11243*f[7, 110])/5120 + 
       (78203*f[7, 111])/11520 - (53029*f[7, 112])/7680 + 
       (124801*f[7, 113])/46080 - (24121*f[7, 114])/46080 + 
       (180299*f[7, 115])/46080 - (36301*f[7, 116])/9216 + 
       (200507*f[7, 117])/5760 + (215347*f[7, 118])/46080 - 
       (67573*f[7, 119])/23040 - (2189*f[7, 120])/512 - 
       (5057*f[7, 121])/7680 - (75653*f[7, 122])/23040 - 
       (12379*f[7, 123])/7680 + (3461*f[7, 124])/3840 - 
       (35291*f[7, 125])/11520 - (196163*f[7, 126])/46080 - 
       (25*f[7, 136])/48 - (309*f[7, 137])/64 - (1007*f[7, 138])/384 + 
       f[7, 144]/30 - f[7, 145]/3 - (781*f[7, 146])/240 - 
       (4201*f[7, 147])/1920 + (103*f[7, 148])/80 + (13841*f[7, 149])/1920 - 
       (7009*f[7, 150])/1280)*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - v] + 
     (f[7, 55]/3 + (5*f[7, 65])/48 - (5*f[7, 66])/48 - (5*f[7, 67])/96 - 
       (5*f[7, 68])/24 - (5*f[7, 69])/24 + (5*f[7, 70])/96 - 
       (5*f[7, 71])/96 + (5*f[7, 72])/24 - (5*f[7, 73])/24 - 
       (5*f[7, 74])/24 - (49*f[7, 75])/192 + (23*f[7, 76])/96 - 
       (11*f[7, 77])/96 + (5*f[7, 78])/48 - f[7, 79]/48 + f[7, 80]/32 + 
       (55*f[7, 81])/48 + (55*f[7, 82])/48 + (35*f[7, 83])/48 + f[7, 84]/48 - 
       (27*f[7, 85])/64 - (67*f[7, 86])/64 - (77*f[7, 87])/192 + 
       f[7, 88]/48 - (5*f[7, 89])/96 + f[7, 90]/32 - f[7, 91]/24 - 
       (19*f[7, 92])/64 - (131*f[7, 93])/192 - (11*f[7, 94])/96 - 
       (2*f[7, 95])/3 + f[7, 96]/32 + f[7, 97]/6 + f[7, 98]/6 - 
       (19*f[7, 99])/64 - (13*f[7, 100])/12 - f[7, 101]/16 - 
       (13*f[7, 102])/64 - (5*f[7, 103])/96 + (3*f[7, 104])/32 - 
       f[7, 105]/48 + f[7, 106]/6 - (11*f[7, 107])/24 + f[7, 108]/24 - 
       f[7, 109]/96 - (11*f[7, 110])/64 - (29*f[7, 111])/48 + 
       (71*f[7, 112])/192 + f[7, 113]/12 + f[7, 114]/48 - (13*f[7, 115])/24 + 
       f[7, 116]/48 - (5*f[7, 117])/2 - (11*f[7, 118])/96 + 
       (7*f[7, 119])/24 + f[7, 120]/8 - f[7, 121]/24 + (7*f[7, 122])/96 + 
       f[7, 123]/24 - f[7, 124]/12 + f[7, 125]/48 + f[7, 126]/16 + 
       (2*f[7, 136])/3 + (107*f[7, 137])/24 + (797*f[7, 138])/192 - 
       f[7, 145]/3 - (4*f[7, 146])/3 - (19*f[7, 147])/16 + 
       (353*f[7, 148])/96 + (937*f[7, 149])/96 + (293*f[7, 150])/144)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v] + 
     (f[7, 26]/10 - f[7, 27]/10 - f[7, 28]/20 + f[7, 30]/8 + f[7, 31]/10 - 
       f[7, 32]/10 - (3*f[7, 33])/10 + f[7, 35]/10 + f[7, 36]/20 + 
       f[7, 37]/40 + (2*f[7, 38])/5 + f[7, 39]/20 + (3*f[7, 40])/20 - 
       f[7, 41]/40 - f[7, 42]/40 - (3*f[7, 43])/20 - (3*f[7, 44])/10 - 
       (11*f[7, 45])/20 - (11*f[7, 46])/20 + f[7, 47]/40 - (7*f[7, 48])/20 - 
       (17*f[7, 49])/80 + (5*f[7, 50])/8 - (19*f[7, 51])/80 - f[7, 52]/4 + 
       (11*f[7, 53])/10 - f[7, 54]/4 + f[7, 55] - (289*f[7, 56])/320 - 
       (13*f[7, 57])/128 + (189*f[7, 58])/40 - (31*f[7, 59])/80 - 
       (547*f[7, 60])/1280 - (193*f[7, 61])/128 - (1571*f[7, 62])/640 - 
       (1571*f[7, 63])/640 + (1571*f[7, 64])/640 - (4721*f[7, 65])/640 + 
       (2047*f[7, 66])/320 + (287*f[7, 67])/640 + (1841*f[7, 68])/160 + 
       (1847*f[7, 69])/160 - (1639*f[7, 70])/640 + (331*f[7, 71])/128 - 
       (1733*f[7, 72])/160 + (1757*f[7, 73])/160 + (1787*f[7, 74])/160 - 
       (113*f[7, 75])/160 - (3701*f[7, 76])/256 + (12033*f[7, 77])/1280 - 
       (353*f[7, 78])/64 + (4427*f[7, 79])/640 + (257*f[7, 80])/640 + 
       (545*f[7, 81])/32 - (12153*f[7, 82])/320 - (275*f[7, 83])/8 - 
       (3293*f[7, 84])/640 + (16853*f[7, 85])/1280 + (5473*f[7, 86])/160 + 
       (2443*f[7, 87])/160 - (573*f[7, 88])/128 + (3143*f[7, 89])/640 + 
       (2397*f[7, 90])/1280 - (1539*f[7, 91])/64 + (10537*f[7, 92])/640 + 
       (18527*f[7, 93])/1280 - (5111*f[7, 94])/640 + (15869*f[7, 95])/640 - 
       (4411*f[7, 96])/640 - (1327*f[7, 97])/128 - (6763*f[7, 98])/640 + 
       (1187*f[7, 99])/128 + (5321*f[7, 100])/64 + (657*f[7, 101])/80 + 
       (12777*f[7, 102])/640 + (113*f[7, 103])/320 + (443*f[7, 104])/32 + 
       (1567*f[7, 105])/640 - (8123*f[7, 106])/160 + (7143*f[7, 107])/160 - 
       (1933*f[7, 108])/128 - (8209*f[7, 109])/640 + (6793*f[7, 110])/1280 + 
       (6819*f[7, 111])/640 - (76*f[7, 112])/5 - (631*f[7, 113])/80 - 
       (6027*f[7, 114])/640 - (11119*f[7, 115])/1280 - (123*f[7, 116])/128 + 
       (85331*f[7, 117])/320 - (2617*f[7, 118])/1280 - 
       (45869*f[7, 119])/1280 - (2197*f[7, 120])/128 + (7541*f[7, 121])/640 - 
       (19077*f[7, 122])/640 - (5843*f[7, 123])/640 + (1683*f[7, 124])/80 + 
       (12197*f[7, 125])/640 - (4293*f[7, 126])/320 - f[7, 132]/10 + 
       f[7, 134]/10 - (11*f[7, 135])/80 + (141*f[7, 136])/80 - 
       (13467*f[7, 137])/320 - (22491*f[7, 138])/640 + (3*f[7, 145])/8 + 
       (23*f[7, 146])/4 + (215*f[7, 147])/64 - (511*f[7, 148])/32 - 
       (12561*f[7, 149])/256 - (1061*f[7, 150])/96)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v] + 
     ((-23*f[7, 26])/60 - (37*f[7, 27])/60 - (7*f[7, 28])/120 + 
       (7*f[7, 30])/12 - (23*f[7, 31])/60 - (7*f[7, 32])/60 - 
       (17*f[7, 33])/20 - f[7, 35]/20 + (7*f[7, 36])/120 + (7*f[7, 37])/240 + 
       (7*f[7, 38])/15 + (7*f[7, 39])/120 + f[7, 40]/120 - (7*f[7, 41])/240 - 
       (7*f[7, 42])/240 - (7*f[7, 43])/40 - (7*f[7, 44])/20 - 
       (59*f[7, 45])/40 - (59*f[7, 46])/40 - (31*f[7, 47])/480 - 
       (49*f[7, 48])/120 + (7*f[7, 49])/160 + (143*f[7, 50])/96 - 
       (91*f[7, 51])/160 - f[7, 52]/16 + (137*f[7, 53])/160 - 
       (7*f[7, 54])/8 + (307*f[7, 55])/96 - (949*f[7, 56])/960 + 
       (431*f[7, 57])/384 + (2083*f[7, 58])/240 - (1337*f[7, 59])/2880 + 
       (2153*f[7, 60])/3840 + (91*f[7, 61])/384 - (65831*f[7, 62])/11520 - 
       (65831*f[7, 63])/11520 + (65831*f[7, 64])/11520 - 
       (1291*f[7, 65])/1920 - (49*f[7, 66])/80 - (2957*f[7, 67])/480 - 
       (313*f[7, 68])/160 - (21*f[7, 69])/10 + (123*f[7, 70])/160 - 
       (71*f[7, 71])/96 + (4249*f[7, 72])/960 - (2261*f[7, 73])/960 - 
       (2711*f[7, 74])/960 - (110689*f[7, 75])/23040 + (2647*f[7, 76])/384 + 
       (2981*f[7, 77])/1280 + (157*f[7, 78])/96 + (5569*f[7, 79])/23040 - 
       (62771*f[7, 80])/23040 + (10681*f[7, 81])/384 + 
       (113597*f[7, 82])/5760 + (71*f[7, 83])/24 + (13319*f[7, 84])/23040 - 
       (216617*f[7, 85])/23040 - (441371*f[7, 86])/23040 - 
       (288311*f[7, 87])/23040 + (7451*f[7, 88])/4608 + 
       (40193*f[7, 89])/11520 + (49447*f[7, 90])/23040 - 
       (11689*f[7, 91])/288 - (44047*f[7, 92])/7680 - 
       (181493*f[7, 93])/23040 - (159289*f[7, 94])/7680 - 
       (14643*f[7, 95])/2560 - (23641*f[7, 96])/1920 + 
       (11965*f[7, 97])/1152 + (64961*f[7, 98])/5760 - 
       (19037*f[7, 99])/4608 + (8293*f[7, 100])/288 + 
       (34843*f[7, 101])/5760 + (456529*f[7, 102])/23040 - 
       (86329*f[7, 103])/11520 + (44177*f[7, 104])/2304 - 
       (273971*f[7, 105])/23040 - (18253*f[7, 106])/2880 + 
       (84563*f[7, 107])/2880 - (10571*f[7, 108])/1152 - 
       (1529*f[7, 109])/120 - (10083*f[7, 110])/2560 - 
       (128041*f[7, 111])/11520 + (3687*f[7, 112])/320 - 
       (268381*f[7, 113])/23040 - (153149*f[7, 114])/23040 - 
       (338729*f[7, 115])/23040 + (50671*f[7, 116])/4608 + 
       (91199*f[7, 117])/1440 - (298927*f[7, 118])/23040 - 
       (155537*f[7, 119])/11520 + (121*f[7, 120])/128 + (903*f[7, 121])/160 - 
       (3929*f[7, 122])/1440 + (803*f[7, 123])/480 + (183*f[7, 124])/40 + 
       (166687*f[7, 125])/11520 + (152843*f[7, 126])/23040 - f[7, 132]/8 + 
       f[7, 134]/8 - (9*f[7, 135])/16 + (835*f[7, 136])/96 + 
       (175*f[7, 137])/48 + (955*f[7, 138])/384 + f[7, 144]/60 - 
       (5*f[7, 145])/12 - (353*f[7, 146])/240 - (173*f[7, 147])/320 + 
       (23*f[7, 148])/160 - (10747*f[7, 149])/1920 - (683*f[7, 150])/320)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v] + 
     (-f[7, 24]/2 - f[7, 25]/4 - f[7, 26]/5 - (3*f[7, 27])/10 + f[7, 28]/10 - 
       f[7, 29]/4 + f[7, 30]/8 - f[7, 31]/5 - f[7, 32]/20 + (3*f[7, 33])/5 - 
       f[7, 35]/5 + (2*f[7, 36])/5 + f[7, 37]/80 - (4*f[7, 38])/5 - 
       (3*f[7, 39])/5 - (3*f[7, 40])/10 + (9*f[7, 41])/80 + (9*f[7, 42])/80 + 
       f[7, 43]/20 + f[7, 44]/10 - (3*f[7, 45])/20 + (7*f[7, 46])/20 + 
       f[7, 47]/80 - (83*f[7, 48])/160 + (93*f[7, 49])/160 - f[7, 50]/4 - 
       (59*f[7, 51])/160 + f[7, 52]/8 - (61*f[7, 53])/80 - (7*f[7, 54])/16 - 
       f[7, 55]/4 + (973*f[7, 56])/320 + (195*f[7, 57])/128 - 
       (1271*f[7, 58])/80 - (467*f[7, 59])/120 + (1949*f[7, 60])/1280 + 
       (871*f[7, 61])/128 + (33617*f[7, 62])/3840 + (33617*f[7, 63])/3840 - 
       (33617*f[7, 64])/3840 + (22207*f[7, 65])/640 - (10569*f[7, 66])/320 - 
       (5569*f[7, 67])/640 - (9997*f[7, 68])/160 - (10109*f[7, 69])/160 + 
       (8993*f[7, 70])/640 - (1805*f[7, 71])/128 + (9991*f[7, 72])/160 - 
       (4987*f[7, 73])/80 - (10009*f[7, 74])/160 + (1409*f[7, 75])/3840 + 
       (22233*f[7, 76])/256 - (78891*f[7, 77])/1280 + (1953*f[7, 78])/64 - 
       (132479*f[7, 79])/3840 - (26039*f[7, 80])/3840 - (2617*f[7, 81])/64 + 
       (24931*f[7, 82])/120 + (4623*f[7, 83])/32 + (108611*f[7, 84])/3840 - 
       (146239*f[7, 85])/1920 - (764129*f[7, 86])/3840 - 
       (348089*f[7, 87])/3840 + (20231*f[7, 88])/768 - 
       (83681*f[7, 89])/3840 - (18901*f[7, 90])/1920 + (8179*f[7, 91])/96 - 
       (119243*f[7, 92])/1280 - (133921*f[7, 93])/1920 + 
       (21039*f[7, 94])/1280 - (173601*f[7, 95])/1280 + (5023*f[7, 96])/160 + 
       (10033*f[7, 97])/192 + (49829*f[7, 98])/960 - (21367*f[7, 99])/384 - 
       (90383*f[7, 100])/192 - (195047*f[7, 101])/3840 - 
       (36343*f[7, 102])/480 - (11371*f[7, 103])/1920 - 
       (35045*f[7, 104])/768 - (66569*f[7, 105])/3840 + 
       (250891*f[7, 106])/960 - (253961*f[7, 107])/960 + 
       (61213*f[7, 108])/768 + (78551*f[7, 109])/1280 - 
       (23091*f[7, 110])/1280 - (232463*f[7, 111])/3840 + 
       (115977*f[7, 112])/1280 + (26069*f[7, 113])/960 + 
       (181489*f[7, 114])/3840 + (67157*f[7, 115])/1920 + 
       (11857*f[7, 116])/768 - (702683*f[7, 117])/480 - 
       (7603*f[7, 118])/3840 + (755999*f[7, 119])/3840 + 
       (25637*f[7, 120])/256 - (80589*f[7, 121])/1280 + 
       (627739*f[7, 122])/3840 + (71117*f[7, 123])/1280 - 
       (75453*f[7, 124])/640 - (388939*f[7, 125])/3840 + 
       (77993*f[7, 126])/960 - f[7, 129]/4 + f[7, 132]/5 - f[7, 134]/5 + 
       f[7, 135]/40 - (321*f[7, 136])/40 + (1379*f[7, 137])/20 + 
       (19291*f[7, 138])/320 + f[7, 140] - f[7, 145] - (59*f[7, 146])/4 - 
       (37*f[7, 147])/8 - (3611*f[7, 148])/64 - (2221*f[7, 149])/16 - 
       (8009*f[7, 150])/96)*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - v] + (-f[7, 45] - f[7, 46] - f[7, 48]/2 + f[7, 50] - 
       f[7, 51]/4 + f[7, 52] - f[7, 53]/2 - f[7, 54]/4 + f[7, 55] + 
       (51*f[7, 56])/16 - (91*f[7, 57])/32 - (49*f[7, 58])/2 - 
       (17*f[7, 59])/8 + (39*f[7, 60])/64 + (129*f[7, 61])/32 + 
       (451*f[7, 62])/32 + (451*f[7, 63])/32 - (451*f[7, 64])/32 + 
       (873*f[7, 65])/32 - (441*f[7, 66])/16 - (65*f[7, 67])/32 - 
       (457*f[7, 68])/8 - (457*f[7, 69])/8 + (493*f[7, 70])/32 - 
       (477*f[7, 71])/32 + (469*f[7, 72])/8 - (463*f[7, 73])/8 - 
       (461*f[7, 74])/8 + (119*f[7, 75])/32 + (5073*f[7, 76])/64 - 
       (3881*f[7, 77])/64 + (457*f[7, 78])/16 - (799*f[7, 79])/32 + 
       (207*f[7, 80])/32 - (305*f[7, 81])/8 + (2647*f[7, 82])/16 + 
       (655*f[7, 83])/8 + (761*f[7, 84])/32 - (3907*f[7, 85])/64 - 
       (5521*f[7, 86])/32 - (2421*f[7, 87])/32 + (701*f[7, 88])/32 - 
       (733*f[7, 89])/32 - (261*f[7, 90])/64 + (2367*f[7, 91])/16 - 
       (623*f[7, 92])/8 - (2905*f[7, 93])/64 + (1295*f[7, 94])/32 - 
       (3921*f[7, 95])/32 + (1297*f[7, 96])/32 + (999*f[7, 97])/32 + 
       (1039*f[7, 98])/32 - (101*f[7, 99])/2 - (7889*f[7, 100])/16 - 
       (451*f[7, 101])/8 - (719*f[7, 102])/8 + (21*f[7, 103])/4 - 
       (865*f[7, 104])/16 + (89*f[7, 105])/32 + (899*f[7, 106])/4 - 
       (2225*f[7, 107])/8 + (2441*f[7, 108])/32 + (1659*f[7, 109])/32 - 
       (695*f[7, 110])/64 - (1335*f[7, 111])/32 + (2319*f[7, 112])/32 + 
       (437*f[7, 113])/8 + (1423*f[7, 114])/32 + (2227*f[7, 115])/64 + 
       (203*f[7, 116])/32 - (22487*f[7, 117])/16 + (825*f[7, 118])/64 + 
       (12601*f[7, 119])/64 + (2707*f[7, 120])/32 - (2105*f[7, 121])/32 + 
       (4951*f[7, 122])/32 + (1487*f[7, 123])/32 - (893*f[7, 124])/8 - 
       (3605*f[7, 125])/32 + (1157*f[7, 126])/16 - f[7, 135]/4 - 
       (17*f[7, 136])/8 + (151*f[7, 137])/8 + (589*f[7, 138])/32 - 
       (87*f[7, 146])/2 - (113*f[7, 147])/8 - (1961*f[7, 148])/16 - 
       (7959*f[7, 149])/32 - (9269*f[7, 150])/48)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v] + 
     (f[7, 5] + f[7, 18]/2 + f[7, 24]/2 + f[7, 25]/2 + (2*f[7, 26])/5 - 
       (2*f[7, 27])/5 - f[7, 28]/5 + f[7, 29]/2 + (2*f[7, 31])/5 - 
       (9*f[7, 32])/10 - (6*f[7, 33])/5 + (5*f[7, 34])/8 + (2*f[7, 35])/5 + 
       (7*f[7, 36])/10 - f[7, 37]/40 + (8*f[7, 38])/5 - (4*f[7, 39])/5 + 
       (3*f[7, 40])/5 - (7*f[7, 41])/20 - (7*f[7, 42])/20 - (3*f[7, 43])/5 - 
       (11*f[7, 44])/5 + (11*f[7, 45])/20 + f[7, 46]/20 - (57*f[7, 47])/80 - 
       (37*f[7, 48])/80 - (39*f[7, 49])/40 + f[7, 50] + (49*f[7, 51])/80 + 
       (5*f[7, 52])/2 + (23*f[7, 53])/20 + (19*f[7, 54])/16 - 
       (7*f[7, 55])/8 - (239*f[7, 56])/80 + (237*f[7, 57])/64 + 
       (22*f[7, 58])/5 - (2089*f[7, 59])/480 - (1909*f[7, 60])/640 - 
       (339*f[7, 61])/64 - (6307*f[7, 62])/1920 - (6307*f[7, 63])/1920 + 
       (6307*f[7, 64])/1920 - (4987*f[7, 65])/320 + (2059*f[7, 66])/160 + 
       (1339*f[7, 67])/320 + (1827*f[7, 68])/80 + (1799*f[7, 69])/80 - 
       (1743*f[7, 70])/320 + (339*f[7, 71])/64 - (1811*f[7, 72])/80 + 
       (1619*f[7, 73])/80 + (1779*f[7, 74])/80 - (469*f[7, 75])/1920 - 
       (3539*f[7, 76])/128 + (10451*f[7, 77])/640 - (303*f[7, 78])/32 + 
       (21799*f[7, 79])/1920 + (979*f[7, 80])/1920 + (117*f[7, 81])/4 - 
       (9907*f[7, 82])/120 - (605*f[7, 83])/8 - (23131*f[7, 84])/1920 + 
       (28259*f[7, 85])/960 + (128869*f[7, 86])/1920 + 
       (58729*f[7, 87])/1920 - (3103*f[7, 88])/384 + (11971*f[7, 89])/1920 + 
       (4691*f[7, 90])/960 - (181*f[7, 91])/24 + (18773*f[7, 92])/640 + 
       (8189*f[7, 93])/240 - (3329*f[7, 94])/640 + (31341*f[7, 95])/640 - 
       (533*f[7, 96])/80 - (2675*f[7, 97])/96 - (13399*f[7, 98])/480 + 
       (1933*f[7, 99])/96 + (11935*f[7, 100])/96 + (21577*f[7, 101])/1920 + 
       (13531*f[7, 102])/480 + (6371*f[7, 103])/960 + (6025*f[7, 104])/384 + 
       (19609*f[7, 105])/1920 - (22303*f[7, 106])/240 + 
       (31651*f[7, 107])/480 - (6983*f[7, 108])/384 - (8361*f[7, 109])/640 + 
       (5631*f[7, 110])/640 + (51133*f[7, 111])/1920 - 
       (22867*f[7, 112])/640 - (10463*f[7, 113])/960 - 
       (22469*f[7, 114])/1920 - (2443*f[7, 115])/240 - (3449*f[7, 116])/384 + 
       (53819*f[7, 117])/120 + (9653*f[7, 118])/1920 - 
       (108919*f[7, 119])/1920 - (4145*f[7, 120])/128 + 
       (13679*f[7, 121])/640 - (112229*f[7, 122])/1920 - 
       (9947*f[7, 123])/640 + (11813*f[7, 124])/320 + 
       (54509*f[7, 125])/1920 - (30071*f[7, 126])/960 - (2*f[7, 132])/5 - 
       (3*f[7, 133])/8 + (2*f[7, 134])/5 + f[7, 135]/80 + (47*f[7, 136])/40 - 
       (13019*f[7, 137])/160 - (44239*f[7, 138])/640 + f[7, 140] + 
       f[7, 144] + (3*f[7, 145])/4 + (29*f[7, 146])/4 + (139*f[7, 147])/32 - 
       34*f[7, 148] - (13451*f[7, 149])/128 - (615*f[7, 150])/32)*
      HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v] + 
     (f[7, 43] + f[7, 44] + f[7, 48]/4 + (3*f[7, 49])/4 + (3*f[7, 51])/8 + 
       (5*f[7, 54])/8 - f[7, 55] + (29*f[7, 56])/32 - (57*f[7, 57])/64 - 
       (43*f[7, 58])/4 + (3*f[7, 59])/16 + (37*f[7, 60])/128 - 
       (37*f[7, 61])/64 + (343*f[7, 62])/64 + (343*f[7, 63])/64 - 
       (343*f[7, 64])/64 + (1099*f[7, 65])/64 - (635*f[7, 66])/32 - 
       (291*f[7, 67])/64 - (647*f[7, 68])/16 - (643*f[7, 69])/16 + 
       (643*f[7, 70])/64 - (643*f[7, 71])/64 + (651*f[7, 72])/16 - 
       (639*f[7, 73])/16 - (639*f[7, 74])/16 + (157*f[7, 75])/64 + 
       (7259*f[7, 76])/128 - (5275*f[7, 77])/128 + (643*f[7, 78])/32 - 
       (1297*f[7, 79])/64 - (75*f[7, 80])/64 - (255*f[7, 81])/16 + 
       (4265*f[7, 82])/32 + (1295*f[7, 83])/16 + (1167*f[7, 84])/64 - 
       (6313*f[7, 85])/128 - (8299*f[7, 86])/64 - (3755*f[7, 87])/64 + 
       (1163*f[7, 88])/64 - (809*f[7, 89])/64 - (711*f[7, 90])/128 + 
       (2049*f[7, 91])/32 - (951*f[7, 92])/16 - (5531*f[7, 93])/128 + 
       (629*f[7, 94])/64 - (5795*f[7, 95])/64 + (1359*f[7, 96])/64 + 
       (2033*f[7, 97])/64 + (2033*f[7, 98])/64 - (1167*f[7, 99])/32 - 
       (10171*f[7, 100])/32 - (1127*f[7, 101])/32 - (1563*f[7, 102])/32 - 
       (31*f[7, 103])/16 - (455*f[7, 104])/16 - (493*f[7, 105])/64 + 
       164*f[7, 106] - (2897*f[7, 107])/16 + (3201*f[7, 108])/64 + 
       (2087*f[7, 109])/64 - (1305*f[7, 110])/128 - (2355*f[7, 111])/64 + 
       (3915*f[7, 112])/64 + (771*f[7, 113])/32 + (1721*f[7, 114])/64 + 
       (2321*f[7, 115])/128 + (881*f[7, 116])/64 - (30497*f[7, 117])/32 + 
       (31*f[7, 118])/128 + (16475*f[7, 119])/128 + (3915*f[7, 120])/64 - 
       (2885*f[7, 121])/64 + (7255*f[7, 122])/64 + (2411*f[7, 123])/64 - 
       (165*f[7, 124])/2 - (4729*f[7, 125])/64 + (925*f[7, 126])/16 - 
       f[7, 132]/8 - f[7, 134]/2 + f[7, 135]/8 - 7*f[7, 136] + 
       (301*f[7, 137])/8 + (1109*f[7, 138])/32 + f[7, 145]/2 - 
       (27*f[7, 146])/4 - (5*f[7, 147])/16 - (1631*f[7, 148])/32 - 
       112*f[7, 149] - (3263*f[7, 150])/48)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]^2 + (-2*f[7, 24] + f[7, 36]/2 + f[7, 43] + 
       f[7, 44] + f[7, 48]/4 + (3*f[7, 49])/4 + (3*f[7, 51])/8 + 
       (5*f[7, 54])/8 - f[7, 55] + (31*f[7, 56])/32 - (135*f[7, 57])/64 - 
       (105*f[7, 58])/4 + (79*f[7, 59])/48 + (11*f[7, 60])/128 - 
       (107*f[7, 61])/64 + (2407*f[7, 62])/192 + (2407*f[7, 63])/192 - 
       (2407*f[7, 64])/192 + (1893*f[7, 65])/64 - (1101*f[7, 66])/32 - 
       (261*f[7, 67])/64 - (1111*f[7, 68])/16 - (1109*f[7, 69])/16 + 
       (1085*f[7, 70])/64 - (1085*f[7, 71])/64 + (1115*f[7, 72])/16 - 
       (1107*f[7, 73])/16 - (1103*f[7, 74])/16 + (1633*f[7, 75])/192 + 
       (12105*f[7, 76])/128 - (9125*f[7, 77])/128 + (1085*f[7, 78])/32 - 
       (6949*f[7, 79])/192 + (293*f[7, 80])/192 - (805*f[7, 81])/16 + 
       (21113*f[7, 82])/96 + (2153*f[7, 83])/16 + (6043*f[7, 84])/192 - 
       (30533*f[7, 85])/384 - (41263*f[7, 86])/192 - (18439*f[7, 87])/192 + 
       (6023*f[7, 88])/192 - (4777*f[7, 89])/192 - (3323*f[7, 90])/384 + 
       (15685*f[7, 91])/96 - (3279*f[7, 92])/32 - (26375*f[7, 93])/384 + 
       (2281*f[7, 94])/64 - (9869*f[7, 95])/64 + (2745*f[7, 96])/64 + 
       (8857*f[7, 97])/192 + (8857*f[7, 98])/192 - (5701*f[7, 99])/96 - 
       (54979*f[7, 100])/96 - (3073*f[7, 101])/48 - (9929*f[7, 102])/96 + 
       (283*f[7, 103])/96 - (6511*f[7, 104])/96 - (1153*f[7, 105])/192 + 
       (3497*f[7, 106])/12 - (15601*f[7, 107])/48 + (17977*f[7, 108])/192 + 
       (4053*f[7, 109])/64 - (1943*f[7, 110])/128 - (10459*f[7, 111])/192 + 
       (6377*f[7, 112])/64 + (5177*f[7, 113])/96 + (9773*f[7, 114])/192 + 
       (16549*f[7, 115])/384 + (3421*f[7, 116])/192 - (162781*f[7, 117])/96 + 
       (4511*f[7, 118])/384 + (89459*f[7, 119])/384 + (6697*f[7, 120])/64 - 
       (5327*f[7, 121])/64 + (38999*f[7, 122])/192 + (4153*f[7, 123])/64 - 
       (1181*f[7, 124])/8 - (27065*f[7, 125])/192 + (1189*f[7, 126])/12 + 
       f[7, 129]/2 + f[7, 134]/4 + f[7, 135]/8 + f[7, 136]/4 + 
       (795*f[7, 137])/16 + (3163*f[7, 138])/64 - f[7, 145] - 
       (213*f[7, 146])/4 - (175*f[7, 147])/8 - (3569*f[7, 148])/32 - 
       (14923*f[7, 149])/64 - (6603*f[7, 150])/32)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2 + 
     (f[7, 18] - (2*f[7, 26])/5 + (2*f[7, 27])/5 + f[7, 28]/5 - f[7, 29]/4 - 
       (2*f[7, 31])/5 + (2*f[7, 32])/5 + (6*f[7, 33])/5 - (2*f[7, 35])/5 - 
       (6*f[7, 36])/5 + f[7, 37]/40 - (8*f[7, 38])/5 - f[7, 39]/5 - 
       (3*f[7, 40])/5 + f[7, 41]/10 + f[7, 42]/10 + (3*f[7, 43])/5 + 
       (6*f[7, 44])/5 - (3*f[7, 45])/10 - (3*f[7, 46])/10 + (3*f[7, 47])/20 - 
       f[7, 48]/10 + (83*f[7, 49])/80 - (3*f[7, 50])/4 - (19*f[7, 51])/80 + 
       (3*f[7, 52])/4 - (51*f[7, 53])/40 - (3*f[7, 54])/8 + (3*f[7, 55])/2 + 
       (491*f[7, 56])/320 - (149*f[7, 57])/128 - (283*f[7, 58])/20 + 
       (32*f[7, 59])/15 + (2133*f[7, 60])/1280 + (375*f[7, 61])/128 + 
       (9637*f[7, 62])/1920 + (9637*f[7, 63])/1920 - (9637*f[7, 64])/1920 + 
       (15499*f[7, 65])/640 - (7883*f[7, 66])/320 - (3443*f[7, 67])/640 - 
       (7339*f[7, 68])/160 - (7363*f[7, 69])/160 + (6811*f[7, 70])/640 - 
       (1375*f[7, 71])/128 + (7367*f[7, 72])/160 - (7213*f[7, 73])/160 - 
       (7303*f[7, 74])/160 + (1133*f[7, 75])/240 + (15627*f[7, 76])/256 - 
       (50747*f[7, 77])/1280 + (1383*f[7, 78])/64 - (3199*f[7, 79])/120 - 
       (3917*f[7, 80])/960 - (1771*f[7, 81])/32 + (155321*f[7, 82])/960 + 
       (3949*f[7, 83])/32 + (21983*f[7, 84])/960 - (218501*f[7, 85])/3840 - 
       (136757*f[7, 86])/960 - (62357*f[7, 87])/960 + (4109*f[7, 88])/192 - 
       (27571*f[7, 89])/1920 - (40559*f[7, 90])/3840 + (13415*f[7, 91])/192 - 
       (44653*f[7, 92])/640 - (219839*f[7, 93])/3840 + (5737*f[7, 94])/320 - 
       (32173*f[7, 95])/320 + (12879*f[7, 96])/640 + (15995*f[7, 97])/384 + 
       (80551*f[7, 98])/1920 - (15307*f[7, 99])/384 - (60773*f[7, 100])/192 - 
       (30491*f[7, 101])/960 - (121879*f[7, 102])/1920 - 
       (1319*f[7, 103])/240 - (4033*f[7, 104])/96 - (7921*f[7, 105])/480 + 
       (97361*f[7, 106])/480 - (82351*f[7, 107])/480 + 
       (21221*f[7, 108])/384 + (27241*f[7, 109])/640 - 
       (24707*f[7, 110])/1280 - (84733*f[7, 111])/1920 + 
       (45377*f[7, 112])/640 + (42841*f[7, 113])/1920 + 
       (3779*f[7, 114])/120 + (111853*f[7, 115])/3840 + (1559*f[7, 116])/96 - 
       (989707*f[7, 117])/960 - (7561*f[7, 118])/3840 + 
       (517853*f[7, 119])/3840 + (9359*f[7, 120])/128 - 
       (32679*f[7, 121])/640 + (257939*f[7, 122])/1920 + 
       (26637*f[7, 123])/640 - (14829*f[7, 124])/160 - 
       (156419*f[7, 125])/1920 + (132307*f[7, 126])/1920 - f[7, 129] + 
       (7*f[7, 132])/20 - (7*f[7, 134])/20 + (13*f[7, 135])/40 - 
       (29*f[7, 136])/20 + (591*f[7, 137])/10 + (15333*f[7, 138])/320 + 
       f[7, 144]/10 - (1103*f[7, 146])/40 - (1689*f[7, 147])/160 - 
       (859*f[7, 148])/20 - (12321*f[7, 149])/160 - (10993*f[7, 150])/120)*
      HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2 + 
     (-f[7, 34] + f[7, 48] + f[7, 51]/2 - f[7, 52] + f[7, 54]/2 + 
       f[7, 56]/8 - (5*f[7, 57])/16 + 8*f[7, 58] + (47*f[7, 59])/12 + 
       f[7, 60]/32 + (15*f[7, 61])/16 - (59*f[7, 62])/24 - (59*f[7, 63])/24 + 
       (59*f[7, 64])/24 + (219*f[7, 65])/16 - (117*f[7, 66])/8 - 
       (173*f[7, 67])/16 - (119*f[7, 68])/4 - (117*f[7, 69])/4 + 
       (117*f[7, 70])/16 - (117*f[7, 71])/16 + (119*f[7, 72])/4 - 
       (115*f[7, 73])/4 - (119*f[7, 74])/4 - (143*f[7, 75])/24 + 
       (1339*f[7, 76])/32 - (843*f[7, 77])/32 + (117*f[7, 78])/8 - 
       (599*f[7, 79])/48 - (341*f[7, 80])/48 + 33*f[7, 81] + 
       (2677*f[7, 82])/24 + 69*f[7, 83] + (617*f[7, 84])/48 - 
       (4321*f[7, 85])/96 - (314*f[7, 86])/3 - (301*f[7, 87])/6 + 
       (589*f[7, 88])/48 - (79*f[7, 89])/24 - (325*f[7, 90])/96 - 
       (1051*f[7, 91])/24 - (675*f[7, 92])/16 - (3955*f[7, 93])/96 - 
       (473*f[7, 94])/16 - (1085*f[7, 95])/16 + (13*f[7, 96])/16 + 
       (1877*f[7, 97])/48 + (1877*f[7, 98])/48 - (88*f[7, 99])/3 - 
       (4037*f[7, 100])/24 - (785*f[7, 101])/48 + f[7, 102]/3 - 
       (325*f[7, 103])/24 + (677*f[7, 104])/48 - (953*f[7, 105])/48 + 
       (1159*f[7, 106])/12 - (553*f[7, 107])/6 + (403*f[7, 108])/24 + 
       4*f[7, 109] - (361*f[7, 110])/32 - (1057*f[7, 111])/24 + 
       (879*f[7, 112])/16 - (289*f[7, 113])/48 + (361*f[7, 114])/48 - 
       (973*f[7, 115])/96 + (1043*f[7, 116])/48 - (12929*f[7, 117])/24 - 
       (1925*f[7, 118])/96 + (6313*f[7, 119])/96 + (159*f[7, 120])/4 - 
       19*f[7, 121] + (1481*f[7, 122])/24 + (199*f[7, 123])/8 - 
       (351*f[7, 124])/8 - (497*f[7, 125])/24 + (1973*f[7, 126])/48 + 
       f[7, 133]/2 + f[7, 135]/4 + (29*f[7, 136])/4 + (103*f[7, 137])/4 + 
       21*f[7, 138] - f[7, 145] + 2*f[7, 146] + (45*f[7, 147])/8 - 
       (109*f[7, 148])/4 - (1401*f[7, 149])/16 - (2159*f[7, 150])/48)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (f[7, 47]/4 - f[7, 50] + f[7, 52]/2 - f[7, 53] - 2*f[7, 55] - 
       (3*f[7, 56])/16 + (13*f[7, 57])/32 + (13*f[7, 59])/24 + 
       (23*f[7, 60])/64 + (33*f[7, 61])/32 - (23*f[7, 62])/24 - 
       (23*f[7, 63])/24 + (23*f[7, 64])/24 - (223*f[7, 65])/32 + 
       (147*f[7, 66])/16 + (163*f[7, 67])/32 + (175*f[7, 68])/8 + 
       (171*f[7, 69])/8 - (171*f[7, 70])/32 + (171*f[7, 71])/32 - 
       (183*f[7, 72])/8 + (171*f[7, 73])/8 + (175*f[7, 74])/8 + 
       (361*f[7, 75])/96 - (2023*f[7, 76])/64 + (1375*f[7, 77])/64 - 
       (171*f[7, 78])/16 + (881*f[7, 79])/96 + (305*f[7, 80])/96 - 
       (187*f[7, 81])/8 - (3523*f[7, 82])/48 - (359*f[7, 83])/8 - 
       (755*f[7, 84])/96 + (5575*f[7, 85])/192 + (7169*f[7, 86])/96 + 
       (3341*f[7, 87])/96 - (799*f[7, 88])/96 + (253*f[7, 89])/48 + 
       (133*f[7, 90])/192 - (869*f[7, 91])/48 + (467*f[7, 92])/16 + 
       (4525*f[7, 93])/192 + (213*f[7, 94])/32 + (1517*f[7, 95])/32 - 
       (213*f[7, 96])/32 - (1697*f[7, 97])/96 - (1697*f[7, 98])/96 + 
       (2005*f[7, 99])/96 + (7865*f[7, 100])/48 + (1709*f[7, 101])/96 + 
       (1613*f[7, 102])/96 + (91*f[7, 103])/48 + (403*f[7, 104])/96 + 
       (731*f[7, 105])/96 - (1729*f[7, 106])/24 + (1105*f[7, 107])/12 - 
       (491*f[7, 108])/24 - (177*f[7, 109])/16 + (203*f[7, 110])/64 + 
       (1243*f[7, 111])/48 - (265*f[7, 112])/8 - (299*f[7, 113])/96 - 
       (1087*f[7, 114])/96 + (649*f[7, 115])/192 - (863*f[7, 116])/96 + 
       (21965*f[7, 117])/48 + (761*f[7, 118])/192 - (11557*f[7, 119])/192 - 
       (227*f[7, 120])/8 + (251*f[7, 121])/16 - (533*f[7, 122])/12 - 
       (141*f[7, 123])/8 + (533*f[7, 124])/16 + (275*f[7, 125])/12 - 
       (2435*f[7, 126])/96 + 5*f[7, 136] - (423*f[7, 137])/8 - 
       (1497*f[7, 138])/32 - f[7, 145] - 10*f[7, 146] - 6*f[7, 147] - 
       (127*f[7, 148])/8 - (697*f[7, 149])/32 - (567*f[7, 150])/16)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u] + 
     (-f[7, 11]/3 + (4*f[7, 31])/3 - 4*f[7, 33] + f[7, 50]/3 + 
       (3*f[7, 62])/8 + (3*f[7, 63])/8 - (3*f[7, 64])/8 - f[7, 76]/6 + 
       (2*f[7, 77])/3 + f[7, 80]/6 + (3*f[7, 81])/2 + (2*f[7, 82])/3 + 
       (2*f[7, 83])/3 - f[7, 85]/6 - f[7, 87]/6 - (13*f[7, 89])/24 + 
       f[7, 90]/6 + (11*f[7, 91])/3 - f[7, 92]/6 - f[7, 93]/3 + f[7, 94]/2 + 
       (7*f[7, 96])/12 - (3*f[7, 97])/4 - (3*f[7, 98])/4 - (3*f[7, 99])/8 - 
       (5*f[7, 100])/3 + f[7, 101]/8 - (7*f[7, 102])/8 + (11*f[7, 103])/12 - 
       (7*f[7, 104])/8 + (3*f[7, 105])/4 + (3*f[7, 106])/2 - f[7, 107]/6 + 
       (9*f[7, 108])/8 + (9*f[7, 109])/8 - f[7, 110]/8 + (3*f[7, 111])/8 - 
       (3*f[7, 112])/8 + (17*f[7, 113])/24 + (3*f[7, 114])/4 + 
       (11*f[7, 115])/12 - (11*f[7, 116])/12 - (29*f[7, 117])/6 + 
       (13*f[7, 118])/8 + (7*f[7, 119])/6 + f[7, 120]/24 - (3*f[7, 121])/8 + 
       (3*f[7, 122])/8 + (3*f[7, 123])/8 - (3*f[7, 124])/4 - 
       (9*f[7, 125])/8 - (13*f[7, 126])/24 + f[7, 138]/6 - f[7, 149]/3 - 
       (3*f[7, 150])/2)*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - v] + 
     (-f[7, 34]/2 + f[7, 47]/2 + f[7, 48]/4 - 2*f[7, 50] + f[7, 51]/8 - 
       f[7, 52]/2 - 2*f[7, 53] + f[7, 54]/8 - 4*f[7, 55] - (21*f[7, 56])/32 - 
       (67*f[7, 57])/64 - (35*f[7, 58])/4 + (31*f[7, 59])/16 - 
       (57*f[7, 60])/128 - (23*f[7, 61])/64 + (215*f[7, 62])/64 + 
       (215*f[7, 63])/64 - (215*f[7, 64])/64 - (863*f[7, 65])/64 + 
       (515*f[7, 66])/32 + (867*f[7, 67])/64 + (635*f[7, 68])/16 + 
       (611*f[7, 69])/16 - (627*f[7, 70])/64 + (627*f[7, 71])/64 - 
       (659*f[7, 72])/16 + (615*f[7, 73])/16 + (627*f[7, 74])/16 + 
       (721*f[7, 75])/64 - (7639*f[7, 76])/128 + (4327*f[7, 77])/128 - 
       (583*f[7, 78])/32 + (861*f[7, 79])/64 + (447*f[7, 80])/64 - 
       (1109*f[7, 81])/16 - (4697*f[7, 82])/32 - (1201*f[7, 83])/16 - 
       (947*f[7, 84])/64 + (7561*f[7, 85])/128 + (9381*f[7, 86])/64 + 
       (4517*f[7, 87])/64 - (991*f[7, 88])/64 + (271*f[7, 89])/64 + 
       (27*f[7, 90])/128 + (759*f[7, 91])/32 + (1767*f[7, 92])/32 + 
       (6939*f[7, 93])/128 + (1795*f[7, 94])/64 + (5719*f[7, 95])/64 - 
       (23*f[7, 96])/64 - (2785*f[7, 97])/64 - (2785*f[7, 98])/64 + 
       (1343*f[7, 99])/32 + (7551*f[7, 100])/32 + (359*f[7, 101])/16 + 
       (167*f[7, 102])/32 + (107*f[7, 103])/8 - (481*f[7, 104])/32 + 
       (1493*f[7, 105])/64 - 116*f[7, 106] + (2019*f[7, 107])/16 - 
       (1615*f[7, 108])/64 - (345*f[7, 109])/64 + (1621*f[7, 110])/128 + 
       (3649*f[7, 111])/64 - (4491*f[7, 112])/64 + (41*f[7, 113])/16 - 
       (801*f[7, 114])/64 + (2683*f[7, 115])/128 - (1753*f[7, 116])/64 + 
       (22673*f[7, 117])/32 + (2801*f[7, 118])/128 - (11127*f[7, 119])/128 - 
       (3217*f[7, 120])/64 + (1527*f[7, 121])/64 - (4933*f[7, 122])/64 - 
       (1949*f[7, 123])/64 + (873*f[7, 124])/16 + (1823*f[7, 125])/64 - 
       (1663*f[7, 126])/32 - (3*f[7, 133])/8 + f[7, 134]/4 + f[7, 135]/16 - 
       (19*f[7, 136])/16 - (1567*f[7, 137])/32 - (5793*f[7, 138])/128 - 
       2*f[7, 145] - (57*f[7, 146])/4 - (357*f[7, 147])/32 + 
       (1805*f[7, 148])/64 + (10309*f[7, 149])/128 - (419*f[7, 150])/192)*
      HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v] + 
     (-f[7, 11] + 4*f[7, 31] - 12*f[7, 33] + 2*f[7, 40] + f[7, 47]/4 + 
       f[7, 48]/2 + 2*f[7, 50] + f[7, 51]/4 + f[7, 52]/2 + f[7, 53] + 
       f[7, 54]/4 - 2*f[7, 55] - f[7, 56]/4 - (17*f[7, 57])/16 - 
       (11*f[7, 58])/2 + (23*f[7, 59])/12 - (19*f[7, 60])/32 - 
       (9*f[7, 61])/16 + (307*f[7, 62])/96 + (307*f[7, 63])/96 - 
       (307*f[7, 64])/96 - (25*f[7, 65])/16 + (11*f[7, 66])/8 + 
       (67*f[7, 67])/16 + (25*f[7, 68])/4 + (23*f[7, 69])/4 - 
       (23*f[7, 70])/16 + (23*f[7, 71])/16 - (29*f[7, 72])/4 + 
       (23*f[7, 73])/4 + (25*f[7, 74])/4 + (245*f[7, 75])/48 - 
       (353*f[7, 76])/32 + (133*f[7, 77])/32 - (19*f[7, 78])/8 + 
       (11*f[7, 79])/24 + (55*f[7, 80])/48 - (119*f[7, 81])/4 - 
       (623*f[7, 82])/24 - (23*f[7, 83])/4 - (19*f[7, 84])/12 + 
       (1097*f[7, 85])/96 + (1375*f[7, 86])/48 + (721*f[7, 87])/48 - 
       (23*f[7, 88])/12 - (175*f[7, 89])/96 - (247*f[7, 90])/96 + 
       (125*f[7, 91])/6 + (125*f[7, 92])/16 + (1127*f[7, 93])/96 + 
       (93*f[7, 94])/8 + (59*f[7, 95])/4 + (25*f[7, 96])/4 - 
       (311*f[7, 97])/24 - (311*f[7, 98])/24 + (691*f[7, 99])/96 + 
       (349*f[7, 100])/24 + (23*f[7, 101])/96 - (937*f[7, 102])/96 + 
       (313*f[7, 103])/48 - (1205*f[7, 104])/96 + (373*f[7, 105])/48 - 
       (43*f[7, 106])/24 + (77*f[7, 107])/24 + (373*f[7, 108])/96 + 
       (283*f[7, 109])/32 + (23*f[7, 110])/16 + (1403*f[7, 111])/96 - 
       (471*f[7, 112])/32 + (439*f[7, 113])/96 + (151*f[7, 114])/48 + 
       (1391*f[7, 115])/96 - (445*f[7, 116])/48 + (146*f[7, 117])/3 + 
       (503*f[7, 118])/48 - (275*f[7, 119])/96 - (135*f[7, 120])/32 - 
       (33*f[7, 121])/32 - (433*f[7, 122])/96 - (83*f[7, 123])/32 + 
       (25*f[7, 124])/16 - (641*f[7, 125])/96 - (803*f[7, 126])/96 - 
       (3*f[7, 135])/8 - 3*f[7, 136] - (429*f[7, 137])/16 - 
       (2315*f[7, 138])/64 - (9*f[7, 146])/4 + (85*f[7, 147])/16 - 
       (635*f[7, 148])/32 - (2801*f[7, 149])/64 - (4703*f[7, 150])/96)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v] + 
     (-2*f[7, 45] - 2*f[7, 46] - f[7, 48] + f[7, 49]/2 + 2*f[7, 50] - 
       f[7, 51] + f[7, 53] - (3*f[7, 54])/2 + 3*f[7, 55] - (5*f[7, 56])/8 + 
       f[7, 57]/16 + 12*f[7, 58] - (7*f[7, 59])/6 + (35*f[7, 60])/32 + 
       (13*f[7, 61])/16 - (181*f[7, 62])/24 - (181*f[7, 63])/24 + 
       (181*f[7, 64])/24 - (51*f[7, 65])/16 + (11*f[7, 66])/8 - 
       (117*f[7, 67])/16 + (3*f[7, 68])/4 + (3*f[7, 69])/4 + 
       (5*f[7, 70])/16 - (5*f[7, 71])/16 + (9*f[7, 72])/4 + f[7, 73]/4 - 
       f[7, 74]/4 - (125*f[7, 75])/12 + (145*f[7, 76])/32 + 
       (219*f[7, 77])/32 - (7*f[7, 78])/8 + (47*f[7, 79])/12 - 
       (41*f[7, 80])/24 + (213*f[7, 81])/4 + (299*f[7, 82])/24 - 
       (11*f[7, 83])/4 - (55*f[7, 84])/24 - (731*f[7, 85])/96 - 
       (395*f[7, 86])/24 - (275*f[7, 87])/24 - (41*f[7, 88])/24 + 
       (37*f[7, 89])/6 + (319*f[7, 90])/96 - (1565*f[7, 91])/24 + 
       (17*f[7, 92])/16 - (869*f[7, 93])/96 - (109*f[7, 94])/4 + 
       (3*f[7, 95])/8 - (281*f[7, 96])/16 + (403*f[7, 97])/48 + 
       (499*f[7, 98])/48 - (35*f[7, 99])/12 + (1457*f[7, 100])/24 + 
       (473*f[7, 101])/48 + (763*f[7, 102])/24 - (97*f[7, 103])/12 + 
       (1441*f[7, 104])/48 - (305*f[7, 105])/24 - (103*f[7, 106])/3 + 
       (149*f[7, 107])/3 - (233*f[7, 108])/12 - (185*f[7, 109])/8 - 
       (167*f[7, 110])/32 - (163*f[7, 111])/12 + (59*f[7, 112])/8 - 
       (403*f[7, 113])/24 - (287*f[7, 114])/24 - (2789*f[7, 115])/96 + 
       (275*f[7, 116])/24 + (4493*f[7, 117])/24 - (1633*f[7, 118])/96 - 
       (3001*f[7, 119])/96 - (49*f[7, 120])/8 + (121*f[7, 121])/8 - 
       (149*f[7, 122])/6 - (7*f[7, 123])/2 + (157*f[7, 124])/8 + 
       (791*f[7, 125])/24 - (37*f[7, 126])/24 - (3*f[7, 135])/4 + 
       4*f[7, 136] - (57*f[7, 137])/8 - (115*f[7, 138])/32 + 
       (29*f[7, 146])/2 + (69*f[7, 147])/8 - (15*f[7, 148])/16 - 
       (553*f[7, 149])/32 + (1471*f[7, 150])/48)*HPL[{1}, 1 - v]*
      HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v] + 
     ((3*f[7, 34])/2 - f[7, 45] - f[7, 46] - f[7, 47]/4 - (5*f[7, 48])/4 + 
       f[7, 49]/4 + 2*f[7, 50] - f[7, 51]/4 + 2*f[7, 52] + (3*f[7, 53])/2 + 
       f[7, 54]/4 + (7*f[7, 55])/2 + (3*f[7, 56])/4 + (67*f[7, 57])/16 + 
       13*f[7, 58] - (19*f[7, 59])/6 - (7*f[7, 60])/32 + (3*f[7, 61])/16 - 
       (721*f[7, 62])/96 - (721*f[7, 63])/96 + (721*f[7, 64])/96 - 
       (245*f[7, 65])/16 + (127*f[7, 66])/8 + (3*f[7, 67])/16 + 
       (109*f[7, 68])/4 + (111*f[7, 69])/4 - (107*f[7, 70])/16 + 
       (107*f[7, 71])/16 - (103*f[7, 72])/4 + (51*f[7, 73])/2 + 
       (107*f[7, 74])/4 - (607*f[7, 75])/96 - (1127*f[7, 76])/32 + 
       (1105*f[7, 77])/32 - (111*f[7, 78])/8 + (1459*f[7, 79])/96 - 
       (95*f[7, 80])/96 + (307*f[7, 81])/8 - (236*f[7, 82])/3 - 50*f[7, 83] - 
       (1327*f[7, 84])/96 + (1373*f[7, 85])/48 + (7195*f[7, 86])/96 + 
       (2947*f[7, 87])/96 - (1151*f[7, 88])/96 + (1129*f[7, 89])/96 + 
       (61*f[7, 90])/6 - (323*f[7, 91])/6 + (1235*f[7, 92])/32 + 
       (505*f[7, 93])/24 - (457*f[7, 94])/32 + (1913*f[7, 95])/32 - 
       (207*f[7, 96])/8 - (209*f[7, 97])/12 - (197*f[7, 98])/12 + 
       (131*f[7, 99])/6 + (6155*f[7, 100])/24 + (3001*f[7, 101])/96 + 
       (503*f[7, 102])/12 - (7*f[7, 103])/12 + (2777*f[7, 104])/96 - 
       (335*f[7, 105])/96 - (2843*f[7, 106])/24 + (3805*f[7, 107])/24 - 
       (3745*f[7, 108])/96 - (999*f[7, 109])/32 + (41*f[7, 110])/32 + 
       (1747*f[7, 111])/96 - (1163*f[7, 112])/32 - (269*f[7, 113])/12 - 
       (2033*f[7, 114])/96 - (1327*f[7, 115])/48 - (181*f[7, 116])/96 + 
       (2248*f[7, 117])/3 - (361*f[7, 118])/96 - (9955*f[7, 119])/96 - 
       (1465*f[7, 120])/32 + (1185*f[7, 121])/32 - (8063*f[7, 122])/96 - 
       (877*f[7, 123])/32 + (1047*f[7, 124])/16 + (5987*f[7, 125])/96 - 
       (883*f[7, 126])/24 - f[7, 135]/2 + (23*f[7, 136])/2 - 
       (107*f[7, 137])/4 - (407*f[7, 138])/16 + 3*f[7, 146] - 
       (3*f[7, 147])/2 + (51*f[7, 148])/2 + (1099*f[7, 149])/16 + 
       (341*f[7, 150])/6)*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + (-f[7, 25] - f[7, 29] + f[7, 48] - f[7, 51] - 
       4*f[7, 52] - (3*f[7, 54])/2 - (17*f[7, 56])/16 - (5*f[7, 57])/32 - 
       (41*f[7, 58])/2 + (19*f[7, 59])/8 - (47*f[7, 60])/64 - 
       (9*f[7, 61])/32 + (417*f[7, 62])/32 + (417*f[7, 63])/32 - 
       (417*f[7, 64])/32 + (543*f[7, 65])/32 - (327*f[7, 66])/16 + 
       (17*f[7, 67])/32 - (311*f[7, 68])/8 - (311*f[7, 69])/8 + 
       (311*f[7, 70])/32 - (311*f[7, 71])/32 + (311*f[7, 72])/8 - 
       (295*f[7, 73])/8 - (311*f[7, 74])/8 + (333*f[7, 75])/32 + 
       (3351*f[7, 76])/64 - (3063*f[7, 77])/64 + (327*f[7, 78])/16 - 
       (535*f[7, 79])/32 + (331*f[7, 80])/32 - (303*f[7, 81])/8 + 
       (1629*f[7, 82])/16 + (301*f[7, 83])/8 + (545*f[7, 84])/32 - 
       (2381*f[7, 85])/64 - (3555*f[7, 86])/32 - (1475*f[7, 87])/32 + 
       (541*f[7, 88])/32 - (491*f[7, 89])/32 - (111*f[7, 90])/64 + 
       (2089*f[7, 91])/16 - (421*f[7, 92])/8 - (1679*f[7, 93])/64 + 
       (1075*f[7, 94])/32 - (2809*f[7, 95])/32 + (1127*f[7, 96])/32 + 
       (497*f[7, 97])/32 + (497*f[7, 98])/32 - 31*f[7, 99] - 
       (5823*f[7, 100])/16 - (89*f[7, 101])/2 - (139*f[7, 102])/2 + 
       (13*f[7, 103])/4 - (735*f[7, 104])/16 + (401*f[7, 105])/32 + 
       (639*f[7, 106])/4 - (1743*f[7, 107])/8 + (1775*f[7, 108])/32 + 
       (1013*f[7, 109])/32 + (207*f[7, 110])/64 - (709*f[7, 111])/32 + 
       (1603*f[7, 112])/32 + (849*f[7, 113])/16 + (939*f[7, 114])/32 + 
       (1993*f[7, 115])/64 + (183*f[7, 116])/32 - (16473*f[7, 117])/16 + 
       (835*f[7, 118])/64 + (9319*f[7, 119])/64 + (1789*f[7, 120])/32 - 
       (1703*f[7, 121])/32 + (3933*f[7, 122])/32 + (1093*f[7, 123])/32 - 
       (699*f[7, 124])/8 - (3011*f[7, 125])/32 + (463*f[7, 126])/8 + 
       f[7, 135]/2 - 5*f[7, 136] + (333*f[7, 137])/8 + (1407*f[7, 138])/32 - 
       30*f[7, 146] - (57*f[7, 147])/4 - (479*f[7, 148])/8 - 
       (2997*f[7, 149])/32 - (5209*f[7, 150])/48)*HPL[{0, 0, 1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - v] + (f[7, 45] + f[7, 46] + f[7, 48]/2 - f[7, 50] + 
       f[7, 51]/4 + f[7, 53]/2 + f[7, 54]/4 - 2*f[7, 55] + (5*f[7, 56])/16 - 
       f[7, 57]/32 - (11*f[7, 58])/2 - (5*f[7, 59])/24 - (19*f[7, 60])/64 + 
       (3*f[7, 61])/32 + (373*f[7, 62])/96 + (373*f[7, 63])/96 - 
       (373*f[7, 64])/96 + (19*f[7, 65])/32 + (5*f[7, 66])/16 + 
       (117*f[7, 67])/32 + (21*f[7, 68])/8 + (21*f[7, 69])/8 - 
       (21*f[7, 70])/32 + (21*f[7, 71])/32 - (33*f[7, 72])/8 + 
       (25*f[7, 73])/8 + (25*f[7, 74])/8 + (319*f[7, 75])/96 - 
       (397*f[7, 76])/64 + (5*f[7, 77])/64 - (21*f[7, 78])/16 - 
       (7*f[7, 79])/96 + (155*f[7, 80])/96 - (167*f[7, 81])/8 - 
       (793*f[7, 82])/48 - (13*f[7, 83])/8 - (95*f[7, 84])/96 + 
       (1429*f[7, 85])/192 + (1643*f[7, 86])/96 + (947*f[7, 87])/96 - 
       (139*f[7, 88])/96 - (283*f[7, 89])/96 - (149*f[7, 90])/192 + 
       (1411*f[7, 91])/48 + (41*f[7, 92])/8 + (1351*f[7, 93])/192 + 
       (449*f[7, 94])/32 + (233*f[7, 95])/32 + (251*f[7, 96])/32 - 
       (821*f[7, 97])/96 - (941*f[7, 98])/96 + (179*f[7, 99])/48 - 
       (601*f[7, 100])/48 - (149*f[7, 101])/48 - (641*f[7, 102])/48 + 
       (35*f[7, 103])/6 - (163*f[7, 104])/12 + (773*f[7, 105])/96 + 
       (31*f[7, 106])/12 - (283*f[7, 107])/24 + (595*f[7, 108])/96 + 
       (311*f[7, 109])/32 + (199*f[7, 110])/64 + (887*f[7, 111])/96 - 
       (333*f[7, 112])/32 + (347*f[7, 113])/48 + (455*f[7, 114])/96 + 
       (2227*f[7, 115])/192 - (881*f[7, 116])/96 - (1123*f[7, 117])/48 + 
       (1925*f[7, 118])/192 + (1337*f[7, 119])/192 - (57*f[7, 120])/32 - 
       (77*f[7, 121])/32 - (139*f[7, 122])/96 - (53*f[7, 123])/32 - 
       f[7, 124] - (779*f[7, 125])/96 - (85*f[7, 126])/12 + f[7, 135]/4 - 
       (5*f[7, 136])/2 - (21*f[7, 137])/8 - (91*f[7, 138])/32 - 
       (11*f[7, 146])/2 - (27*f[7, 147])/8 + (27*f[7, 148])/16 + 
       (273*f[7, 149])/32 - (373*f[7, 150])/48)*HPL[{1}, 1 - v]^3*
      HPL[{0, 1, 1}, 1 - u] + (2*f[7, 24] - f[7, 48]/2 + f[7, 54]/4 + 
       f[7, 56]/16 + (35*f[7, 57])/32 + f[7, 58] - (7*f[7, 59])/8 + 
       (25*f[7, 60])/64 - (9*f[7, 61])/32 - (15*f[7, 62])/16 - 
       (15*f[7, 63])/16 + (15*f[7, 64])/16 - (313*f[7, 65])/32 + 
       (169*f[7, 66])/16 + (137*f[7, 67])/32 + (165*f[7, 68])/8 + 
       (169*f[7, 69])/8 - (169*f[7, 70])/32 + (169*f[7, 71])/32 - 
       (165*f[7, 72])/8 + (165*f[7, 73])/8 + (165*f[7, 74])/8 - 
       (15*f[7, 75])/32 - (1961*f[7, 76])/64 + (1681*f[7, 77])/64 - 
       (563*f[7, 78])/48 + (289*f[7, 79])/32 + (113*f[7, 80])/32 - 
       (21*f[7, 81])/8 - (983*f[7, 82])/16 - (313*f[7, 83])/8 - 
       (315*f[7, 84])/32 + (1579*f[7, 85])/64 + (2165*f[7, 86])/32 + 
       (993*f[7, 87])/32 - (303*f[7, 88])/32 + (31*f[7, 89])/8 + 
       (297*f[7, 90])/64 + (235*f[7, 91])/16 + (411*f[7, 92])/16 + 
       (1281*f[7, 93])/64 + (199*f[7, 94])/32 + (1491*f[7, 95])/32 - 
       (283*f[7, 96])/32 - (665*f[7, 97])/32 - (665*f[7, 98])/32 + 
       (639*f[7, 99])/32 + (2637*f[7, 100])/16 + (659*f[7, 101])/32 + 
       (403*f[7, 102])/32 + (91*f[7, 103])/16 + (41*f[7, 104])/32 + 
       (275*f[7, 105])/32 - (643*f[7, 106])/8 + 101*f[7, 107] - 
       (321*f[7, 108])/16 - (87*f[7, 109])/8 + (161*f[7, 110])/64 + 
       (183*f[7, 111])/8 - (563*f[7, 112])/16 - (117*f[7, 113])/32 - 
       (331*f[7, 114])/32 - (267*f[7, 115])/64 - (399*f[7, 116])/32 + 
       (7781*f[7, 117])/16 + (561*f[7, 118])/64 - (4169*f[7, 119])/64 - 
       (529*f[7, 120])/16 + (163*f[7, 121])/8 - (901*f[7, 122])/16 - 
       (299*f[7, 123])/16 + (625*f[7, 124])/16 + (491*f[7, 125])/16 - 
       (1053*f[7, 126])/32 + 4*f[7, 129] - f[7, 135]/4 - (13*f[7, 136])/4 + 
       (25*f[7, 137])/2 + (229*f[7, 138])/16 + 4*f[7, 144] - f[7, 145] + 
       9*f[7, 146] - (21*f[7, 147])/8 + (897*f[7, 148])/16 + 
       (6745*f[7, 149])/48 + (1229*f[7, 150])/16)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (f[7, 36] + f[7, 52] + 2*f[7, 55] + (3*f[7, 56])/16 - (77*f[7, 57])/32 - 
       23*f[7, 58] - f[7, 59]/8 - (39*f[7, 60])/64 - (33*f[7, 61])/32 + 
       (331*f[7, 62])/32 + (331*f[7, 63])/32 - (331*f[7, 64])/32 + 
       (735*f[7, 65])/32 - (403*f[7, 66])/16 - (19*f[7, 67])/32 - 
       (403*f[7, 68])/8 - (403*f[7, 69])/8 + (387*f[7, 70])/32 - 
       (387*f[7, 71])/32 + (419*f[7, 72])/8 - (411*f[7, 73])/8 - 
       (403*f[7, 74])/8 + (105*f[7, 75])/16 + (4247*f[7, 76])/64 - 
       (3103*f[7, 77])/64 + (403*f[7, 78])/16 - (421*f[7, 79])/16 + 
       (57*f[7, 80])/16 - 53*f[7, 81] + (2443*f[7, 82])/16 + 
       (623*f[7, 83])/8 + (89*f[7, 84])/4 - (3487*f[7, 85])/64 - 
       (1189*f[7, 86])/8 - (525*f[7, 87])/8 + (177*f[7, 88])/8 - 
       (665*f[7, 89])/32 - (493*f[7, 90])/64 + (2325*f[7, 91])/16 - 
       (2471*f[7, 92])/32 - (2717*f[7, 93])/64 + (257*f[7, 94])/8 - 
       (429*f[7, 95])/4 + (1087*f[7, 96])/32 + (885*f[7, 97])/32 + 
       (885*f[7, 98])/32 - (1359*f[7, 99])/32 - (6691*f[7, 100])/16 - 
       (361*f[7, 101])/8 - (2607*f[7, 102])/32 + (95*f[7, 103])/16 - 
       (887*f[7, 104])/16 - (17*f[7, 105])/16 + (851*f[7, 106])/4 - 
       (1821*f[7, 107])/8 + (2267*f[7, 108])/32 + (1669*f[7, 109])/32 - 
       (803*f[7, 110])/64 - (1099*f[7, 111])/32 + (2109*f[7, 112])/32 + 
       (1425*f[7, 113])/32 + (627*f[7, 114])/16 + (2391*f[7, 115])/64 + 
       (117*f[7, 116])/16 - (19525*f[7, 117])/16 + (777*f[7, 118])/64 + 
       (10887*f[7, 119])/64 + (2493*f[7, 120])/32 - (1987*f[7, 121])/32 + 
       (4741*f[7, 122])/32 + (1481*f[7, 123])/32 - (861*f[7, 124])/8 - 
       (3477*f[7, 125])/32 + (2219*f[7, 126])/32 + f[7, 129] + f[7, 136]/2 + 
       (83*f[7, 137])/2 + (277*f[7, 138])/8 - 2*f[7, 145] - 46*f[7, 146] - 
       19*f[7, 147] - (163*f[7, 148])/2 - (2539*f[7, 149])/16 - 
       165*f[7, 150])*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - u] + (2*f[7, 45] + 2*f[7, 46] - f[7, 47]/2 - 
       f[7, 48]/2 - f[7, 49]/2 + f[7, 51]/4 - f[7, 52] + f[7, 53] + 
       (3*f[7, 54])/4 + f[7, 55] + (5*f[7, 56])/16 + (67*f[7, 57])/32 + 
       (17*f[7, 58])/2 - (83*f[7, 59])/24 - (7*f[7, 60])/64 - 
       (41*f[7, 61])/32 - (125*f[7, 62])/96 - (125*f[7, 63])/96 + 
       (125*f[7, 64])/96 - (169*f[7, 65])/32 + (129*f[7, 66])/16 + 
       f[7, 67]/32 + (89*f[7, 68])/8 + (97*f[7, 69])/8 - (113*f[7, 70])/32 + 
       (113*f[7, 71])/32 - (97*f[7, 72])/8 + (101*f[7, 73])/8 + 
       (97*f[7, 74])/8 - (515*f[7, 75])/96 - (1049*f[7, 76])/64 + 
       (913*f[7, 77])/64 - (105*f[7, 78])/16 + (911*f[7, 79])/96 + 
       (173*f[7, 80])/96 + (367*f[7, 81])/8 - (1933*f[7, 82])/48 - 
       (317*f[7, 83])/8 - (749*f[7, 84])/96 + (2509*f[7, 85])/192 + 
       (3293*f[7, 86])/96 + (1517*f[7, 87])/96 - (697*f[7, 88])/96 + 
       (335*f[7, 89])/96 + (1267*f[7, 90])/192 - (725*f[7, 91])/48 + 
       (317*f[7, 92])/16 + (2335*f[7, 93])/192 - (301*f[7, 94])/32 + 
       (835*f[7, 95])/32 - (205*f[7, 96])/32 - (1157*f[7, 97])/96 - 
       (1349*f[7, 98])/96 + (413*f[7, 99])/48 + (4355*f[7, 100])/48 + 
       (281*f[7, 101])/24 + (1081*f[7, 102])/48 + (47*f[7, 103])/24 + 
       (833*f[7, 104])/48 + (695*f[7, 105])/96 - (857*f[7, 106])/12 + 
       (1331*f[7, 107])/24 - (1679*f[7, 108])/96 - (463*f[7, 109])/32 + 
       (507*f[7, 110])/64 + (677*f[7, 111])/96 - (623*f[7, 112])/32 - 
       (319*f[7, 113])/48 - (931*f[7, 114])/96 - (3437*f[7, 115])/192 - 
       (611*f[7, 116])/96 + (15149*f[7, 117])/48 + (233*f[7, 118])/192 - 
       (8083*f[7, 119])/192 - (791*f[7, 120])/32 + (573*f[7, 121])/32 - 
       (4633*f[7, 122])/96 - (415*f[7, 123])/32 + (239*f[7, 124])/8 + 
       (2899*f[7, 125])/96 - (307*f[7, 126])/12 - f[7, 135]/4 + 5*f[7, 136] + 
       (23*f[7, 137])/8 + (601*f[7, 138])/32 + 2*f[7, 145] - f[7, 146]/2 - 
       (71*f[7, 147])/8 + (655*f[7, 148])/16 + (2365*f[7, 149])/32 + 
       (4613*f[7, 150])/48)*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u] + 
     (-f[7, 22]/4 + f[7, 25]/4 + f[7, 29]/4 - f[7, 32] - f[7, 36]/2 - 
       f[7, 37]/4 - f[7, 39] + f[7, 40]/2 - (3*f[7, 41])/2 - 4*f[7, 43] - 
       5*f[7, 44] + f[7, 45]/2 + f[7, 46]/2 - (11*f[7, 47])/8 + f[7, 48] - 
       (7*f[7, 49])/4 + (7*f[7, 50])/4 - f[7, 51] + f[7, 52]/2 + 
       (3*f[7, 53])/4 - (19*f[7, 54])/8 + (9*f[7, 55])/4 - 
       (181*f[7, 56])/32 + (701*f[7, 57])/64 + (83*f[7, 58])/2 - 
       (523*f[7, 59])/48 - (409*f[7, 60])/128 - (7*f[7, 61])/64 - 
       (889*f[7, 62])/48 - (889*f[7, 63])/48 + (889*f[7, 64])/48 - 
       (3415*f[7, 65])/64 + (2039*f[7, 66])/32 + (679*f[7, 67])/64 + 
       (2039*f[7, 68])/16 + (2031*f[7, 69])/16 - (1935*f[7, 70])/64 + 
       (1935*f[7, 71])/64 - (2037*f[7, 72])/16 + (2027*f[7, 73])/16 + 
       (2013*f[7, 74])/16 - (2623*f[7, 75])/192 - (22755*f[7, 76])/128 + 
       (16439*f[7, 77])/128 - (2043*f[7, 78])/32 + (12829*f[7, 79])/192 - 
       (113*f[7, 80])/192 + (1617*f[7, 81])/16 - (40487*f[7, 82])/96 - 
       (4263*f[7, 83])/16 - (11791*f[7, 84])/192 + (59039*f[7, 85])/384 + 
       (76885*f[7, 86])/192 + (34825*f[7, 87])/192 - (11147*f[7, 88])/192 + 
       (3923*f[7, 89])/96 + (8357*f[7, 90])/384 - (21685*f[7, 91])/96 + 
       (6067*f[7, 92])/32 + (52841*f[7, 93])/384 - (3035*f[7, 94])/64 + 
       (18169*f[7, 95])/64 - (4457*f[7, 96])/64 - (20317*f[7, 97])/192 - 
       (20413*f[7, 98])/192 + (21581*f[7, 99])/192 + (96145*f[7, 100])/96 + 
       (21205*f[7, 101])/192 + (32791*f[7, 102])/192 + (575*f[7, 103])/96 + 
       (20585*f[7, 104])/192 + (4915*f[7, 105])/192 - (26069*f[7, 106])/48 + 
       (13607*f[7, 107])/24 - (7657*f[7, 108])/48 - (3409*f[7, 109])/32 + 
       (4559*f[7, 110])/128 + (10499*f[7, 111])/96 - (3091*f[7, 112])/16 - 
       (16795*f[7, 113])/192 - (16691*f[7, 114])/192 - 
       (29155*f[7, 115])/384 - (8131*f[7, 116])/192 + (291781*f[7, 117])/96 - 
       (1967*f[7, 118])/384 - (157997*f[7, 119])/384 - (3165*f[7, 120])/16 + 
       (4807*f[7, 121])/32 - (9025*f[7, 122])/24 - (1891*f[7, 123])/16 + 
       (8565*f[7, 124])/32 + (737*f[7, 125])/3 - (36535*f[7, 126])/192 - 
       2*f[7, 129] - f[7, 133]/4 - 2*f[7, 134] + (139*f[7, 136])/8 - 
       (571*f[7, 137])/4 - (2207*f[7, 138])/16 + (3*f[7, 145])/2 + 
       (93*f[7, 146])/2 + (23*f[7, 147])/2 + (4451*f[7, 148])/32 + 
       (9867*f[7, 149])/32 + (788*f[7, 150])/3)*HPL[{0, 1, 1}, 1 - u]^2 + 
     (-f[7, 10]/3 - f[7, 45]/2 - f[7, 46]/2 + f[7, 47]/8 + (5*f[7, 48])/24 + 
       f[7, 49]/8 - f[7, 51]/48 + f[7, 52]/4 - f[7, 53]/4 - (7*f[7, 54])/48 - 
       f[7, 55]/3 - (23*f[7, 56])/64 - (203*f[7, 57])/384 - (11*f[7, 58])/8 + 
       (367*f[7, 59])/288 - (113*f[7, 60])/768 - (95*f[7, 61])/384 - 
       (59*f[7, 62])/1152 - (59*f[7, 63])/1152 + (59*f[7, 64])/1152 + 
       (113*f[7, 65])/384 - (257*f[7, 66])/192 - f[7, 67]/384 - 
       (137*f[7, 68])/96 - (161*f[7, 69])/96 + (161*f[7, 70])/384 - 
       (161*f[7, 71])/384 + (161*f[7, 72])/96 - (173*f[7, 73])/96 - 
       (161*f[7, 74])/96 + (1219*f[7, 75])/1152 + (1633*f[7, 76])/768 - 
       (1337*f[7, 77])/768 + (161*f[7, 78])/192 - (1567*f[7, 79])/1152 - 
       (133*f[7, 80])/1152 - (257*f[7, 81])/32 + (2789*f[7, 82])/576 + 
       (221*f[7, 83])/96 + (1117*f[7, 84])/1152 - (3413*f[7, 85])/2304 - 
       (4453*f[7, 86])/1152 - (1909*f[7, 87])/1152 + (1193*f[7, 88])/1152 - 
       (199*f[7, 89])/1152 - (3083*f[7, 90])/2304 + (925*f[7, 91])/576 - 
       (629*f[7, 92])/192 - (695*f[7, 93])/2304 - f[7, 94]/128 - 
       (393*f[7, 95])/128 + (245*f[7, 96])/384 + (1645*f[7, 97])/1152 + 
       (2221*f[7, 98])/1152 - (313*f[7, 99])/576 - (6523*f[7, 100])/576 - 
       (397*f[7, 101])/288 - (1229*f[7, 102])/576 - (121*f[7, 103])/288 - 
       (1021*f[7, 104])/576 - (1351*f[7, 105])/1152 + (1363*f[7, 106])/144 - 
       (1315*f[7, 107])/288 + (1831*f[7, 108])/1152 + (367*f[7, 109])/384 - 
       (1187*f[7, 110])/768 - (613*f[7, 111])/1152 + (943*f[7, 112])/384 + 
       (419*f[7, 113])/576 + (707*f[7, 114])/1152 + (4789*f[7, 115])/2304 + 
       (1531*f[7, 116])/1152 - (20101*f[7, 117])/576 - 
       (2113*f[7, 118])/2304 + (9995*f[7, 119])/2304 + (1271*f[7, 120])/384 - 
       (853*f[7, 121])/384 + (7193*f[7, 122])/1152 + (237*f[7, 123])/128 - 
       (367*f[7, 124])/96 - (4139*f[7, 125])/1152 + (557*f[7, 126])/144 + 
       (5*f[7, 135])/48 - (7*f[7, 136])/12 - (37*f[7, 137])/32 - 
       (139*f[7, 138])/128 - f[7, 145]/2 - (11*f[7, 146])/8 - 
       (37*f[7, 147])/96 - (267*f[7, 148])/64 - (4037*f[7, 149])/384 - 
       (4205*f[7, 150])/576)*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - v] + 
     (-f[7, 10]/2 - f[7, 30]/2 - f[7, 45]/2 - f[7, 46]/2 + (3*f[7, 47])/8 + 
       f[7, 48]/2 + f[7, 49]/8 - f[7, 50] + f[7, 51]/8 + (3*f[7, 52])/4 - 
       (5*f[7, 53])/4 - (13*f[7, 55])/4 - (17*f[7, 56])/32 - 
       (101*f[7, 57])/64 - (25*f[7, 58])/4 + (31*f[7, 59])/12 - 
       (79*f[7, 60])/128 - (41*f[7, 61])/64 + (295*f[7, 62])/192 + 
       (295*f[7, 63])/192 - (295*f[7, 64])/192 - (25*f[7, 65])/64 + 
       (29*f[7, 66])/32 + (269*f[7, 67])/64 + (117*f[7, 68])/16 + 
       (93*f[7, 69])/16 - (77*f[7, 70])/64 + (77*f[7, 71])/64 - 
       (129*f[7, 72])/16 + (103*f[7, 73])/16 + (113*f[7, 74])/16 + 
       (241*f[7, 75])/48 - (1357*f[7, 76])/128 + (649*f[7, 77])/128 - 
       (93*f[7, 78])/32 - f[7, 79]/48 + (131*f[7, 80])/48 - 
       (587*f[7, 81])/16 - (2875*f[7, 82])/96 - (7*f[7, 83])/16 - 
       (121*f[7, 84])/96 + (5119*f[7, 85])/384 + (2701*f[7, 86])/96 + 
       (1225*f[7, 87])/96 - (155*f[7, 88])/96 - (373*f[7, 89])/192 - 
       (707*f[7, 90])/384 + (1411*f[7, 91])/96 + (673*f[7, 92])/64 + 
       (3745*f[7, 93])/384 + (113*f[7, 94])/8 + (471*f[7, 95])/32 + 
       (295*f[7, 96])/64 - (1145*f[7, 97])/192 - (953*f[7, 98])/192 + 
       (1591*f[7, 99])/192 + (1751*f[7, 100])/96 + (37*f[7, 101])/96 - 
       (2083*f[7, 102])/192 + (559*f[7, 103])/96 - (1393*f[7, 104])/96 + 
       (97*f[7, 105])/24 - (205*f[7, 106])/48 + (491*f[7, 107])/48 - 
       (53*f[7, 108])/192 + (287*f[7, 109])/64 - (23*f[7, 110])/128 + 
       (2513*f[7, 111])/192 - (809*f[7, 112])/64 + (1195*f[7, 113])/192 + 
       (7*f[7, 114])/24 + (5221*f[7, 115])/384 - (347*f[7, 116])/48 + 
       (5837*f[7, 117])/96 + (3299*f[7, 118])/384 - (1027*f[7, 119])/384 - 
       (327*f[7, 120])/64 - (9*f[7, 121])/64 - (643*f[7, 122])/192 - 
       (225*f[7, 123])/64 + (29*f[7, 124])/8 - (797*f[7, 125])/192 - 
       (1319*f[7, 126])/192 + (3*f[7, 135])/8 - (11*f[7, 136])/2 - 
       (253*f[7, 137])/32 - (1045*f[7, 138])/128 + (3*f[7, 145])/2 - 
       (11*f[7, 146])/8 - (21*f[7, 147])/16 + (115*f[7, 148])/16 + 
       (2607*f[7, 149])/128 + (2863*f[7, 150])/192)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (-f[7, 10]/2 - f[7, 30]/2 + f[7, 35] - 2*f[7, 38] + f[7, 40] - 
       f[7, 45]/2 + f[7, 46]/2 + (5*f[7, 47])/8 + f[7, 48]/2 - 
       (3*f[7, 49])/8 - f[7, 50]/2 + (5*f[7, 51])/8 - (5*f[7, 52])/4 + 
       f[7, 53] + f[7, 54] - (29*f[7, 55])/4 - (107*f[7, 56])/32 - 
       (495*f[7, 57])/64 - (31*f[7, 58])/4 + (155*f[7, 59])/24 - 
       (685*f[7, 60])/128 - (795*f[7, 61])/64 + (1141*f[7, 62])/192 + 
       (1141*f[7, 63])/192 - (1141*f[7, 64])/192 - (451*f[7, 65])/64 - 
       (37*f[7, 66])/32 + (379*f[7, 67])/64 + (53*f[7, 68])/16 + 
       (43*f[7, 69])/16 + (85*f[7, 70])/64 - (85*f[7, 71])/64 - 
       (93*f[7, 72])/16 + (15*f[7, 73])/16 + (61*f[7, 74])/16 + 
       (371*f[7, 75])/24 - (1411*f[7, 76])/128 - (1501*f[7, 77])/128 - 
       (99*f[7, 78])/32 + (127*f[7, 79])/24 + (71*f[7, 80])/12 - 
       (75*f[7, 81])/16 - (2797*f[7, 82])/96 - (585*f[7, 83])/16 + 
       (275*f[7, 84])/96 + (4093*f[7, 85])/384 + (3055*f[7, 86])/96 + 
       (1891*f[7, 87])/96 + (397*f[7, 88])/96 - (703*f[7, 89])/192 - 
       (3233*f[7, 90])/384 + (3649*f[7, 91])/96 + (741*f[7, 92])/64 + 
       (7411*f[7, 93])/384 + (503*f[7, 94])/32 + (85*f[7, 95])/32 + 
       (1557*f[7, 96])/64 - (3815*f[7, 97])/192 - (3623*f[7, 98])/192 + 
       (49*f[7, 99])/192 - (9967*f[7, 100])/96 - (113*f[7, 101])/6 - 
       (2197*f[7, 102])/192 + (719*f[7, 103])/48 - (473*f[7, 104])/48 + 
       (1139*f[7, 105])/48 + (443*f[7, 106])/48 - (4375*f[7, 107])/48 + 
       (1969*f[7, 108])/192 + (441*f[7, 109])/64 + (1219*f[7, 110])/128 + 
       (3407*f[7, 111])/192 - (223*f[7, 112])/64 + (3301*f[7, 113])/192 - 
       (79*f[7, 114])/48 + (7279*f[7, 115])/384 - (383*f[7, 116])/48 - 
       (16945*f[7, 117])/96 + (7637*f[7, 118])/384 + (13163*f[7, 119])/384 - 
       (57*f[7, 120])/64 - (1547*f[7, 121])/64 + (6875*f[7, 122])/192 + 
       (797*f[7, 123])/64 - (293*f[7, 124])/8 - (9503*f[7, 125])/192 + 
       (1507*f[7, 126])/192 + f[7, 135]/4 - (31*f[7, 136])/8 - 
       (407*f[7, 137])/16 - (893*f[7, 138])/64 - (3*f[7, 145])/2 - 
       (19*f[7, 146])/4 - (7*f[7, 147])/8 - (377*f[7, 148])/16 - 
       (2913*f[7, 149])/64 - (871*f[7, 150])/12)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v] + 
     (2*f[7, 45] + 2*f[7, 46] + f[7, 48] - f[7, 49]/2 - 2*f[7, 50] + 
       f[7, 51] - f[7, 53] + (3*f[7, 54])/2 - 3*f[7, 55] - (17*f[7, 56])/4 + 
       (5*f[7, 57])/2 + 46*f[7, 58] + (53*f[7, 59])/12 - (9*f[7, 60])/4 - 
       8*f[7, 61] - (295*f[7, 62])/12 - (295*f[7, 63])/12 + 
       (295*f[7, 64])/12 - 43*f[7, 65] + (85*f[7, 66])/2 + (5*f[7, 67])/4 + 
       87*f[7, 68] + 87*f[7, 69] - (93*f[7, 70])/4 + (89*f[7, 71])/4 - 
       90*f[7, 72] + (175*f[7, 73])/2 + 88*f[7, 74] - (433*f[7, 75])/48 - 
       (963*f[7, 76])/8 + (191*f[7, 77])/2 - (130*f[7, 78])/3 + 
       (1969*f[7, 79])/48 - (605*f[7, 80])/48 + 90*f[7, 81] - 
       (2947*f[7, 82])/12 - (253*f[7, 83])/2 - (1729*f[7, 84])/48 + 
       (4225*f[7, 85])/48 + (12409*f[7, 86])/48 + (5401*f[7, 87])/48 - 
       (1601*f[7, 88])/48 + (451*f[7, 89])/12 + (193*f[7, 90])/48 - 
       (833*f[7, 91])/3 + (1931*f[7, 92])/16 + (3193*f[7, 93])/48 - 
       (1247*f[7, 94])/16 + (2963*f[7, 95])/16 - (131*f[7, 96])/2 - 
       (469*f[7, 97])/12 - (493*f[7, 98])/12 + (3497*f[7, 99])/48 + 
       (4591*f[7, 100])/6 + (2141*f[7, 101])/24 + (7531*f[7, 102])/48 - 
       (283*f[7, 103])/24 + (311*f[7, 104])/3 - (491*f[7, 105])/48 - 
       (4229*f[7, 106])/12 + (1327*f[7, 107])/3 - (3059*f[7, 108])/24 - 
       (717*f[7, 109])/8 + (131*f[7, 110])/16 + (643*f[7, 111])/12 - 
       (835*f[7, 112])/8 - (4555*f[7, 113])/48 - (3605*f[7, 114])/48 - 
       (3215*f[7, 115])/48 - (217*f[7, 116])/48 + (6647*f[7, 117])/3 - 
       (1327*f[7, 118])/48 - (937*f[7, 119])/3 - (523*f[7, 120])/4 + 
       (843*f[7, 121])/8 - (5845*f[7, 122])/24 - (563*f[7, 123])/8 + 
       (699*f[7, 124])/4 + (1111*f[7, 125])/6 - (5251*f[7, 126])/48 + 
       f[7, 135]/2 + (45*f[7, 136])/2 - (587*f[7, 137])/4 - 
       (2249*f[7, 138])/16 + 48*f[7, 146] + (103*f[7, 147])/4 + 
       (461*f[7, 148])/8 + (1013*f[7, 149])/16 + (337*f[7, 150])/3)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (8*f[7, 24] - f[7, 36]/2 + 2*f[7, 43] + 2*f[7, 44] + (3*f[7, 49])/2 + 
       f[7, 51]/2 + f[7, 52] + f[7, 54] + (49*f[7, 56])/16 + 
       (13*f[7, 57])/32 + 19*f[7, 58] - (103*f[7, 59])/24 + 
       (119*f[7, 60])/64 + (113*f[7, 61])/32 - (865*f[7, 62])/96 - 
       (865*f[7, 63])/96 + (865*f[7, 64])/96 + (113*f[7, 65])/32 - 
       (5*f[7, 66])/16 - (309*f[7, 67])/32 - (5*f[7, 68])/8 - 
       (5*f[7, 69])/8 + (13*f[7, 70])/32 - (13*f[7, 71])/32 + 
       (17*f[7, 72])/8 - (9*f[7, 73])/8 - (5*f[7, 74])/8 - 
       (361*f[7, 75])/24 + (537*f[7, 76])/64 + (127*f[7, 77])/64 + 
       (5*f[7, 78])/16 + (7*f[7, 79])/6 - (139*f[7, 80])/12 + 57*f[7, 81] + 
       (1267*f[7, 82])/48 + (177*f[7, 83])/8 - (53*f[7, 84])/48 - 
       (2743*f[7, 85])/192 - (1159*f[7, 86])/48 - (727*f[7, 87])/48 - 
       (103*f[7, 88])/48 + (619*f[7, 89])/96 - (469*f[7, 90])/192 - 
       (6655*f[7, 91])/48 - (35*f[7, 92])/32 - (3037*f[7, 93])/192 - 
       (755*f[7, 94])/16 - (45*f[7, 95])/16 - (567*f[7, 96])/32 + 
       (2177*f[7, 97])/96 + (2177*f[7, 98])/96 - (685*f[7, 99])/96 + 
       (3337*f[7, 100])/48 + (241*f[7, 101])/24 + (4591*f[7, 102])/96 - 
       (781*f[7, 103])/48 + (2227*f[7, 104])/48 - (277*f[7, 105])/12 - 
       (67*f[7, 106])/3 + (991*f[7, 107])/24 - (1789*f[7, 108])/96 - 
       (417*f[7, 109])/32 - (553*f[7, 110])/64 - (2471*f[7, 111])/96 + 
       (379*f[7, 112])/32 - (3601*f[7, 113])/96 - (215*f[7, 114])/24 - 
       (6001*f[7, 115])/192 + (71*f[7, 116])/6 + (7183*f[7, 117])/48 - 
       (5567*f[7, 118])/192 - (5693*f[7, 119])/192 + (51*f[7, 120])/32 + 
       (639*f[7, 121])/32 - (3131*f[7, 122])/96 - (85*f[7, 123])/32 + 
       (187*f[7, 124])/8 + (4463*f[7, 125])/96 - (583*f[7, 126])/96 + 
       2*f[7, 134] + f[7, 135]/2 - (27*f[7, 136])/4 + (431*f[7, 137])/8 + 
       (1607*f[7, 138])/32 + 53*f[7, 146] + 25*f[7, 147] + 
       (1309*f[7, 148])/16 + (4237*f[7, 149])/32 + (2759*f[7, 150])/16)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] + 
     (-f[7, 2] - f[7, 52]/3 - f[7, 55]/6 + (19*f[7, 56])/16 - 
       (223*f[7, 57])/96 - (50*f[7, 58])/3 - (19*f[7, 59])/24 - 
       (109*f[7, 60])/192 + (5*f[7, 61])/96 + (317*f[7, 62])/32 + 
       (317*f[7, 63])/32 - (317*f[7, 64])/32 + (1357*f[7, 65])/96 - 
       (733*f[7, 66])/48 + (59*f[7, 67])/96 - (733*f[7, 68])/24 - 
       (733*f[7, 69])/24 + (247*f[7, 70])/32 - (749*f[7, 71])/96 + 
       (733*f[7, 72])/24 - (737*f[7, 73])/24 - (733*f[7, 74])/24 + 
       (141*f[7, 75])/32 + (7781*f[7, 76])/192 - (7069*f[7, 77])/192 + 
       (637*f[7, 78])/48 - (1633*f[7, 79])/96 + (151*f[7, 80])/96 - 
       (745*f[7, 81])/24 + (1325*f[7, 82])/16 + (1507*f[7, 83])/24 + 
       (1219*f[7, 84])/96 - (5719*f[7, 85])/192 - (8273*f[7, 86])/96 - 
       (3481*f[7, 87])/96 + (381*f[7, 88])/32 - (479*f[7, 89])/32 - 
       (701*f[7, 90])/192 + (5027*f[7, 91])/48 - (1843*f[7, 92])/48 - 
       (3937*f[7, 93])/192 + (2611*f[7, 94])/96 - (6163*f[7, 95])/96 + 
       (2725*f[7, 96])/96 + (345*f[7, 97])/32 + (345*f[7, 98])/32 - 
       (139*f[7, 99])/6 - (14449*f[7, 100])/48 - (1795*f[7, 101])/48 - 
       (1019*f[7, 102])/16 + (433*f[7, 103])/48 - (691*f[7, 104])/16 + 
       (451*f[7, 105])/96 + (1585*f[7, 106])/12 - (1447*f[7, 107])/8 + 
       (4529*f[7, 108])/96 + (3739*f[7, 109])/96 + (59*f[7, 110])/64 - 
       (661*f[7, 111])/32 + (3301*f[7, 112])/96 + (1321*f[7, 113])/48 + 
       (2797*f[7, 114])/96 + (1669*f[7, 115])/64 - (227*f[7, 116])/96 - 
       (13361*f[7, 117])/16 + (2821*f[7, 118])/192 + (22985*f[7, 119])/192 + 
       (4475*f[7, 120])/96 - (3385*f[7, 121])/96 + (7919*f[7, 122])/96 + 
       (2543*f[7, 123])/96 - (245*f[7, 124])/4 - (5989*f[7, 125])/96 + 
       (815*f[7, 126])/24 - (25*f[7, 136])/2 + (1963*f[7, 137])/24 + 
       (2291*f[7, 138])/32 - (25*f[7, 146])/3 - (11*f[7, 147])/2 + 
       (87*f[7, 148])/4 + (5429*f[7, 149])/96 + (253*f[7, 150])/16)*
      HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (-f[7, 37]/2 - 2*f[7, 45] - 2*f[7, 46] + f[7, 47] + f[7, 48]/2 + 
       f[7, 49]/2 - 2*f[7, 50] - f[7, 51]/4 + 2*f[7, 52] - 3*f[7, 53] - 
       (3*f[7, 54])/4 - 5*f[7, 55] + (29*f[7, 56])/4 - (61*f[7, 57])/16 - 
       (35*f[7, 58])/2 - (9*f[7, 59])/4 + (101*f[7, 60])/32 + 
       (283*f[7, 61])/16 + (337*f[7, 62])/32 + (337*f[7, 63])/32 - 
       (337*f[7, 64])/32 + (731*f[7, 65])/16 - (355*f[7, 66])/8 - 
       (207*f[7, 67])/16 - (307*f[7, 68])/4 - (315*f[7, 69])/4 + 
       (331*f[7, 70])/16 - (323*f[7, 71])/16 + (303*f[7, 72])/4 - 
       (317*f[7, 73])/4 - (311*f[7, 74])/4 - (9*f[7, 75])/16 + 
       (3531*f[7, 76])/32 - (2643*f[7, 77])/32 + (315*f[7, 78])/8 - 
       (735*f[7, 79])/16 - (59*f[7, 80])/4 - (317*f[7, 81])/4 + 
       (2159*f[7, 82])/8 + (437*f[7, 83])/2 + (619*f[7, 84])/16 - 
       (3209*f[7, 85])/32 - (3961*f[7, 86])/16 - (1815*f[7, 87])/16 + 
       (511*f[7, 88])/16 - (833*f[7, 89])/32 - (651*f[7, 90])/32 + 
       24*f[7, 91] - (1801*f[7, 92])/16 - (2927*f[7, 93])/32 + 
       (145*f[7, 94])/16 - (2707*f[7, 95])/16 + (311*f[7, 96])/8 + 
       (705*f[7, 97])/8 + (721*f[7, 98])/8 - (2271*f[7, 99])/32 - 
       (4677*f[7, 100])/8 - (2103*f[7, 101])/32 - (2671*f[7, 102])/32 - 
       (235*f[7, 103])/16 - (1459*f[7, 104])/32 - (131*f[7, 105])/4 + 
       (2743*f[7, 106])/8 - (2705*f[7, 107])/8 + (3039*f[7, 108])/32 + 
       (2519*f[7, 109])/32 - (503*f[7, 110])/16 - (2611*f[7, 111])/32 + 
       (3735*f[7, 112])/32 + (587*f[7, 113])/32 + (241*f[7, 114])/4 + 
       (1607*f[7, 115])/32 + (171*f[7, 116])/8 - (3745*f[7, 117])/2 - 
       14*f[7, 118] + (8007*f[7, 119])/32 + (4325*f[7, 120])/32 - 
       (2389*f[7, 121])/32 + (6453*f[7, 122])/32 + (2213*f[7, 123])/32 - 
       (2285*f[7, 124])/16 - (3623*f[7, 125])/32 + (3241*f[7, 126])/32 - 
       f[7, 132] + f[7, 134] + (15*f[7, 136])/4 - (329*f[7, 137])/8 - 
       (1567*f[7, 138])/32 + 2*f[7, 144] - 5*f[7, 145] - (77*f[7, 146])/2 + 
       (5*f[7, 147])/4 - (813*f[7, 148])/4 - (16557*f[7, 149])/32 - 
       (7607*f[7, 150])/24)*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v] + 
     (-2*f[7, 3] - f[7, 34] + f[7, 36] + f[7, 48] + f[7, 51]/2 - 3*f[7, 52] + 
       f[7, 54]/2 - (25*f[7, 56])/16 + (11*f[7, 57])/32 + (25*f[7, 58])/2 + 
       (121*f[7, 59])/24 - (31*f[7, 60])/64 - (57*f[7, 61])/32 - 
       (467*f[7, 62])/96 - (467*f[7, 63])/96 + (467*f[7, 64])/96 + 
       (135*f[7, 65])/32 - (67*f[7, 66])/16 - (251*f[7, 67])/32 - 
       (71*f[7, 68])/8 - (67*f[7, 69])/8 + (51*f[7, 70])/32 - 
       (51*f[7, 71])/32 + (71*f[7, 72])/8 - (55*f[7, 73])/8 - 
       (71*f[7, 74])/8 - (263*f[7, 75])/96 + (735*f[7, 76])/64 - 
       (447*f[7, 77])/64 + (67*f[7, 78])/16 - (211*f[7, 79])/96 - 
       (397*f[7, 80])/96 + (295*f[7, 81])/8 + (1859*f[7, 82])/48 + 
       (137*f[7, 83])/8 + (409*f[7, 84])/96 - (3467*f[7, 85])/192 - 
       (3307*f[7, 86])/96 - (1663*f[7, 87])/96 + (461*f[7, 88])/96 + 
       (305*f[7, 89])/96 - (209*f[7, 90])/192 - (3425*f[7, 91])/48 - 
       (203*f[7, 92])/16 - (3329*f[7, 93])/192 - (1151*f[7, 94])/32 - 
       (731*f[7, 95])/32 - (221*f[7, 96])/32 + (2047*f[7, 97])/96 + 
       (2047*f[7, 98])/96 - (233*f[7, 99])/24 - (421*f[7, 100])/48 + 
       (19*f[7, 101])/48 + (167*f[7, 102])/6 - (38*f[7, 103])/3 + 
       (86*f[7, 104])/3 - (991*f[7, 105])/96 + (25*f[7, 106])/3 - 
       (211*f[7, 107])/24 - (737*f[7, 108])/96 - (493*f[7, 109])/32 - 
       (129*f[7, 110])/64 - (1957*f[7, 111])/96 + (813*f[7, 112])/32 - 
       (619*f[7, 113])/48 - (901*f[7, 114])/96 - (3209*f[7, 115])/192 + 
       (1555*f[7, 116])/96 - (3391*f[7, 117])/48 - (3823*f[7, 118])/192 + 
       (653*f[7, 119])/192 + (259*f[7, 120])/32 - (105*f[7, 121])/32 + 
       (1517*f[7, 122])/96 + (327*f[7, 123])/32 - 14*f[7, 124] + 
       (241*f[7, 125])/96 + (203*f[7, 126])/12 + f[7, 133]/2 + f[7, 135]/4 + 
       (43*f[7, 136])/4 + (17*f[7, 137])/8 + (37*f[7, 138])/32 - f[7, 145] + 
       5*f[7, 146] + (37*f[7, 147])/8 - (73*f[7, 148])/8 - 
       (1257*f[7, 149])/32 - (213*f[7, 150])/8)*HPL[{0, 1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - u] + (-f[7, 25]/4 - f[7, 29]/4 - f[7, 42]/2 - 
       f[7, 45]/2 - f[7, 46]/2 + f[7, 48]/4 + f[7, 49]/8 + f[7, 50]/2 - 
       f[7, 51]/4 - f[7, 52] + f[7, 53]/4 - (3*f[7, 54])/8 + (5*f[7, 55])/4 - 
       (17*f[7, 56])/32 + (33*f[7, 57])/64 + 3*f[7, 58] + (31*f[7, 59])/24 + 
       (3*f[7, 60])/128 - (19*f[7, 61])/64 - (101*f[7, 62])/96 - 
       (101*f[7, 63])/96 + (101*f[7, 64])/96 + (93*f[7, 65])/64 - 
       (85*f[7, 66])/32 - (189*f[7, 67])/64 - (85*f[7, 68])/16 - 
       (85*f[7, 69])/16 + (93*f[7, 70])/64 - (93*f[7, 71])/64 + 
       (97*f[7, 72])/16 - (79*f[7, 73])/16 - (89*f[7, 74])/16 - 
       (49*f[7, 75])/48 + (1169*f[7, 76])/128 - (965*f[7, 77])/128 + 
       (85*f[7, 78])/32 - (7*f[7, 79])/6 - (79*f[7, 80])/96 + 
       (225*f[7, 81])/16 + (1723*f[7, 82])/96 + (89*f[7, 83])/16 + 
       (199*f[7, 84])/96 - (3163*f[7, 85])/384 - (2023*f[7, 86])/96 - 
       (943*f[7, 87])/96 + (245*f[7, 88])/96 + (29*f[7, 89])/24 - 
       (25*f[7, 90])/384 - (1933*f[7, 91])/96 - (407*f[7, 92])/64 - 
       (2581*f[7, 93])/384 - (41*f[7, 94])/4 - (427*f[7, 95])/32 - 
       (49*f[7, 96])/64 + (1427*f[7, 97])/192 + (1523*f[7, 98])/192 - 
       (259*f[7, 99])/48 - (3023*f[7, 100])/96 - (863*f[7, 101])/192 + 
       (587*f[7, 102])/96 - (215*f[7, 103])/48 + (1601*f[7, 104])/192 - 
       (319*f[7, 105])/96 + (40*f[7, 106])/3 - (245*f[7, 107])/12 + 
       (23*f[7, 108])/48 - (153*f[7, 109])/32 + (89*f[7, 110])/128 - 
       (425*f[7, 111])/48 + (377*f[7, 112])/32 - (161*f[7, 113])/96 - 
       (109*f[7, 114])/96 - (2461*f[7, 115])/384 + (697*f[7, 116])/96 - 
       (8771*f[7, 117])/96 - (2825*f[7, 118])/384 + (3895*f[7, 119])/384 + 
       (219*f[7, 120])/32 - (91*f[7, 121])/32 + (269*f[7, 122])/24 + 
       (39*f[7, 123])/8 - (239*f[7, 124])/32 - (221*f[7, 125])/96 + 
       (985*f[7, 126])/96 + f[7, 135]/8 + (17*f[7, 136])/8 + 
       (87*f[7, 137])/16 + (337*f[7, 138])/64 + 2*f[7, 146] + 
       (29*f[7, 147])/16 - (165*f[7, 148])/32 - (911*f[7, 149])/64 - 
       (217*f[7, 150])/48)*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - v] + 
     (f[7, 25] + f[7, 29] - 2*f[7, 42] - 2*f[7, 45] - 2*f[7, 46] + f[7, 47] + 
       f[7, 48] + f[7, 49]/2 - 2*f[7, 50] + f[7, 51] + 6*f[7, 52] - 
       3*f[7, 53] + f[7, 54]/2 - 3*f[7, 55] - (5*f[7, 56])/8 - 
       (115*f[7, 57])/16 - 20*f[7, 58] + (35*f[7, 59])/6 - (41*f[7, 60])/32 - 
       (7*f[7, 61])/16 + (59*f[7, 62])/24 + (59*f[7, 63])/24 - 
       (59*f[7, 64])/24 + (25*f[7, 65])/16 - (41*f[7, 66])/8 + 
       (127*f[7, 67])/16 - f[7, 68]/4 - (9*f[7, 69])/4 + (17*f[7, 70])/16 - 
       (17*f[7, 71])/16 - (3*f[7, 72])/4 - (19*f[7, 73])/4 - (5*f[7, 74])/4 + 
       (133*f[7, 75])/12 - (67*f[7, 76])/32 - (17*f[7, 77])/32 + 
       (9*f[7, 78])/8 - (151*f[7, 79])/12 - (89*f[7, 80])/24 - 
       (451*f[7, 81])/4 + (143*f[7, 82])/24 + (145*f[7, 83])/4 + 
       (137*f[7, 84])/24 + (481*f[7, 85])/96 + (313*f[7, 86])/24 + 
       (169*f[7, 87])/24 + (103*f[7, 88])/24 - (41*f[7, 89])/6 - 
       (1469*f[7, 90])/96 + (1063*f[7, 91])/24 - (211*f[7, 92])/16 + 
       (559*f[7, 93])/96 + (103*f[7, 94])/4 + (19*f[7, 95])/8 + 
       (187*f[7, 96])/16 + (7*f[7, 97])/48 + (103*f[7, 98])/48 + 
       (49*f[7, 99])/12 - (1123*f[7, 100])/24 - (259*f[7, 101])/48 - 
       (905*f[7, 102])/24 + (107*f[7, 103])/12 - (1931*f[7, 104])/48 - 
       (137*f[7, 105])/24 + (212*f[7, 106])/3 - (43*f[7, 107])/3 + 
       (247*f[7, 108])/12 + (271*f[7, 109])/8 - (491*f[7, 110])/32 + 
       (161*f[7, 111])/12 - (33*f[7, 112])/8 + (113*f[7, 113])/24 + 
       (337*f[7, 114])/24 + (4015*f[7, 115])/96 - (217*f[7, 116])/24 - 
       (4279*f[7, 117])/24 + (1091*f[7, 118])/96 + (2747*f[7, 119])/96 + 
       (171*f[7, 120])/8 - (131*f[7, 121])/8 + (110*f[7, 122])/3 + 
       8*f[7, 123] - (187*f[7, 124])/8 - (805*f[7, 125])/24 + 
       (227*f[7, 126])/24 + f[7, 135]/2 - (13*f[7, 136])/2 - 
       (87*f[7, 137])/4 - (321*f[7, 138])/16 - 4*f[7, 145] - 26*f[7, 146] - 
       (49*f[7, 147])/4 - (163*f[7, 148])/8 - (877*f[7, 149])/16 - 
       (367*f[7, 150])/6)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      HPL[{0, 0, 0, 1}, 1 - v] + (-2*f[7, 15] - f[7, 25] - f[7, 29] + 
       (3*f[7, 34])/2 + f[7, 45] + f[7, 46] - (5*f[7, 47])/4 + f[7, 48]/4 - 
       f[7, 49]/4 + 4*f[7, 50] - (3*f[7, 51])/4 - 3*f[7, 52] + 
       (9*f[7, 53])/2 - (3*f[7, 54])/4 + (17*f[7, 55])/2 + (11*f[7, 56])/16 + 
       (77*f[7, 57])/32 + (7*f[7, 58])/2 - (17*f[7, 59])/8 - 
       (25*f[7, 60])/64 - (151*f[7, 61])/32 + (21*f[7, 62])/4 + 
       (21*f[7, 63])/4 - (21*f[7, 64])/4 + (665*f[7, 65])/32 - 
       (457*f[7, 66])/16 - (553*f[7, 67])/32 - (573*f[7, 68])/8 - 
       (553*f[7, 69])/8 + (545*f[7, 70])/32 - (545*f[7, 71])/32 + 
       (601*f[7, 72])/8 - (543*f[7, 73])/8 - (569*f[7, 74])/8 - 
       (129*f[7, 75])/8 + (6757*f[7, 76])/64 - (4753*f[7, 77])/64 + 
       (553*f[7, 78])/16 - (331*f[7, 79])/16 + (3*f[7, 80])/16 + 
       131*f[7, 81] + (3729*f[7, 82])/16 + (845*f[7, 83])/8 + 
       (171*f[7, 84])/8 - (6021*f[7, 85])/64 - (4067*f[7, 86])/16 - 
       (1861*f[7, 87])/16 + (97*f[7, 88])/4 - (219*f[7, 89])/16 + 
       (581*f[7, 90])/64 + (1353*f[7, 91])/16 - (2941*f[7, 92])/32 - 
       (5219*f[7, 93])/64 - (249*f[7, 94])/16 - (647*f[7, 95])/4 + 
       (659*f[7, 96])/32 + (1393*f[7, 97])/32 + (1361*f[7, 98])/32 - 
       (1107*f[7, 99])/16 - (8745*f[7, 100])/16 - (1991*f[7, 101])/32 - 
       (817*f[7, 102])/16 - 5*f[7, 103] - (261*f[7, 104])/32 - 
       (53*f[7, 105])/4 + (1639*f[7, 106])/8 - (1261*f[7, 107])/4 + 
       (977*f[7, 108])/16 + (129*f[7, 109])/8 - (111*f[7, 110])/64 - 
       (1353*f[7, 111])/16 + (1725*f[7, 112])/16 + (251*f[7, 113])/8 + 
       (255*f[7, 114])/8 - (2207*f[7, 115])/64 + 33*f[7, 116] - 
       (23257*f[7, 117])/16 - (691*f[7, 118])/64 + (12249*f[7, 119])/64 + 
       (1253*f[7, 120])/16 - (191*f[7, 121])/4 + (2089*f[7, 122])/16 + 
       (801*f[7, 123])/16 - (1565*f[7, 124])/16 - 69*f[7, 125] + 
       (1281*f[7, 126])/16 + (5*f[7, 133])/2 + f[7, 135] - (15*f[7, 136])/4 + 
       191*f[7, 137] + (1433*f[7, 138])/8 + 5*f[7, 145] + 13*f[7, 146] - 
       (3*f[7, 147])/4 + 49*f[7, 148] + (1997*f[7, 149])/16 + 
       (3239*f[7, 150])/24)*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v] + 
     (-2*f[7, 18] - f[7, 48] + f[7, 54]/2 + (49*f[7, 56])/16 + 
       (45*f[7, 57])/32 - (13*f[7, 58])/2 - (89*f[7, 59])/24 + 
       (119*f[7, 60])/64 + (145*f[7, 61])/32 + (457*f[7, 62])/96 + 
       (457*f[7, 63])/96 - (457*f[7, 64])/96 + (41*f[7, 65])/32 + 
       (55*f[7, 66])/16 + (159*f[7, 67])/32 + (55*f[7, 68])/8 + 
       (55*f[7, 69])/8 - (55*f[7, 70])/32 + (55*f[7, 71])/32 - 
       (55*f[7, 72])/8 + (55*f[7, 73])/8 + (55*f[7, 74])/8 - 
       (29*f[7, 75])/96 - (703*f[7, 76])/64 + (559*f[7, 77])/64 - 
       (55*f[7, 78])/16 + (359*f[7, 79])/96 + (545*f[7, 80])/96 - 
       (199*f[7, 81])/8 - (1651*f[7, 82])/48 - (189*f[7, 83])/8 - 
       (437*f[7, 84])/96 + (2779*f[7, 85])/192 + (2879*f[7, 86])/96 + 
       (1463*f[7, 87])/96 - (553*f[7, 88])/96 - (379*f[7, 89])/96 + 
       (745*f[7, 90])/192 + (1957*f[7, 91])/48 + (191*f[7, 92])/16 + 
       (2545*f[7, 93])/192 + (647*f[7, 94])/32 + (647*f[7, 95])/32 + 
       (169*f[7, 96])/32 - (1331*f[7, 97])/96 - (1331*f[7, 98])/96 + 
       (317*f[7, 99])/48 + (1301*f[7, 100])/48 + (77*f[7, 101])/24 - 
       (605*f[7, 102])/48 + (25*f[7, 103])/3 - (667*f[7, 104])/48 + 
       (1151*f[7, 105])/96 - (281*f[7, 106])/12 + (473*f[7, 107])/24 + 
       (259*f[7, 108])/96 + (283*f[7, 109])/32 + (325*f[7, 110])/64 + 
       (1475*f[7, 111])/96 - (743*f[7, 112])/32 + (161*f[7, 113])/12 + 
       (509*f[7, 114])/96 + (1969*f[7, 115])/192 - (1583*f[7, 116])/96 + 
       (4667*f[7, 117])/48 + (2627*f[7, 118])/192 - (1141*f[7, 119])/192 - 
       (277*f[7, 120])/32 + (151*f[7, 121])/32 - (2071*f[7, 122])/96 - 
       (317*f[7, 123])/32 + (117*f[7, 124])/8 + (205*f[7, 125])/96 - 
       (955*f[7, 126])/48 + f[7, 132] - f[7, 135]/2 - (9*f[7, 136])/2 + 
       (47*f[7, 137])/8 + (273*f[7, 138])/32 - 5*f[7, 146] - 
       (25*f[7, 147])/4 + (119*f[7, 148])/8 + (1825*f[7, 149])/32 + 
       (1055*f[7, 150])/48)*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u] + 
     (-f[7, 45] - f[7, 46] + f[7, 47]/4 + f[7, 48]/2 + f[7, 49]/4 + 
       f[7, 52]/2 - f[7, 53]/2 - f[7, 54]/4 + f[7, 55]/2 - (3*f[7, 56])/4 - 
       (17*f[7, 57])/16 - 3*f[7, 58] + (67*f[7, 59])/24 - (11*f[7, 60])/32 - 
       (9*f[7, 61])/16 + f[7, 62]/24 + f[7, 63]/24 - f[7, 64]/24 + 
       (31*f[7, 65])/16 - (33*f[7, 66])/8 - (9*f[7, 67])/16 - 
       (23*f[7, 68])/4 - (25*f[7, 69])/4 + (29*f[7, 70])/16 - 
       (29*f[7, 71])/16 + (25*f[7, 72])/4 - (13*f[7, 73])/2 - 
       (25*f[7, 74])/4 + (223*f[7, 75])/96 + (253*f[7, 76])/32 - 
       (127*f[7, 77])/32 + (25*f[7, 78])/8 - (439*f[7, 79])/96 - 
       (13*f[7, 80])/96 - 17*f[7, 81] + (287*f[7, 82])/12 + (37*f[7, 83])/2 + 
       (355*f[7, 84])/96 - (95*f[7, 85])/12 - (1759*f[7, 86])/96 - 
       (883*f[7, 87])/96 + (371*f[7, 88])/96 - (23*f[7, 89])/12 - 
       (131*f[7, 90])/48 + (257*f[7, 91])/24 - (363*f[7, 92])/32 - 
       (341*f[7, 93])/48 + (57*f[7, 94])/32 - (433*f[7, 95])/32 + 
       (33*f[7, 96])/16 + (335*f[7, 97])/48 + (383*f[7, 98])/48 - 
       (431*f[7, 99])/96 - (971*f[7, 100])/24 - (41*f[7, 101])/12 - 
       (877*f[7, 102])/96 - (29*f[7, 103])/48 - (349*f[7, 104])/48 - 
       (367*f[7, 105])/96 + (809*f[7, 106])/24 - (56*f[7, 107])/3 + 
       (335*f[7, 108])/48 + (71*f[7, 109])/16 - (99*f[7, 110])/16 - 
       (14*f[7, 111])/3 + (173*f[7, 112])/16 + (349*f[7, 113])/96 + 
       (299*f[7, 114])/96 + (313*f[7, 115])/48 + (343*f[7, 116])/96 - 
       (3221*f[7, 117])/24 - (7*f[7, 118])/48 + (1693*f[7, 119])/96 + 
       (85*f[7, 120])/8 - (131*f[7, 121])/16 + (1093*f[7, 122])/48 + 
       (117*f[7, 123])/16 - 15*f[7, 124] - (40*f[7, 125])/3 + 
       (1189*f[7, 126])/96 + f[7, 135]/4 - (5*f[7, 136])/2 + 
       (77*f[7, 137])/8 + (285*f[7, 138])/32 - f[7, 145] - f[7, 146]/2 - 
       f[7, 147]/2 - (37*f[7, 148])/16 - (207*f[7, 149])/32 - 
       (323*f[7, 150])/48)*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-f[7, 45] - f[7, 46] - f[7, 47]/4 + f[7, 48]/2 + f[7, 49]/4 + 
       2*f[7, 50] - f[7, 52]/2 + (3*f[7, 53])/2 - f[7, 54]/4 + 
       (9*f[7, 55])/2 - (5*f[7, 56])/8 + f[7, 57] + 5*f[7, 58] + 
       (15*f[7, 59])/8 + f[7, 60]/4 - f[7, 61]/4 - (19*f[7, 62])/8 - 
       (19*f[7, 63])/8 + (19*f[7, 64])/8 + 11*f[7, 65] - (27*f[7, 66])/2 - 
       (41*f[7, 67])/4 - (63*f[7, 68])/2 - 31*f[7, 69] + 8*f[7, 70] - 
       8*f[7, 71] + 34*f[7, 72] - (125*f[7, 73])/4 - 32*f[7, 74] - 
       (193*f[7, 75])/32 + (747*f[7, 76])/16 - (211*f[7, 77])/8 + 
       (31*f[7, 78])/2 - (369*f[7, 79])/32 - (107*f[7, 80])/32 + 
       (157*f[7, 81])/4 + (909*f[7, 82])/8 + 52*f[7, 83] + 
       (377*f[7, 84])/32 - (1463*f[7, 85])/32 - (3611*f[7, 86])/32 - 
       (1731*f[7, 87])/32 + (417*f[7, 88])/32 - (27*f[7, 89])/8 - 
       (9*f[7, 90])/32 - (31*f[7, 91])/2 - (1451*f[7, 92])/32 - 
       (1259*f[7, 93])/32 - (767*f[7, 94])/32 - (2253*f[7, 95])/32 + 
       f[7, 96]/2 + (277*f[7, 97])/8 + (285*f[7, 98])/8 - (967*f[7, 99])/32 - 
       (727*f[7, 100])/4 - (267*f[7, 101])/16 - (121*f[7, 102])/32 - 
       (191*f[7, 103])/16 + (89*f[7, 104])/8 - (525*f[7, 105])/32 + 
       (753*f[7, 106])/8 - (191*f[7, 107])/2 + (307*f[7, 108])/16 + 
       (15*f[7, 109])/16 - (335*f[7, 110])/32 - (167*f[7, 111])/4 + 
       (441*f[7, 112])/8 + (83*f[7, 113])/32 + (249*f[7, 114])/32 - 
       (441*f[7, 115])/32 + (733*f[7, 116])/32 - (1103*f[7, 117])/2 - 
       (581*f[7, 118])/32 + (539*f[7, 119])/8 + (157*f[7, 120])/4 - 
       (335*f[7, 121])/16 + (1045*f[7, 122])/16 + (411*f[7, 123])/16 - 
       (369*f[7, 124])/8 - (53*f[7, 125])/2 + (1427*f[7, 126])/32 + 
       f[7, 135]/4 + (39*f[7, 136])/4 + 9*f[7, 137] + (87*f[7, 138])/8 + 
       f[7, 145] - 9*f[7, 146] + (17*f[7, 147])/8 - (887*f[7, 148])/16 - 
       (589*f[7, 149])/4 - (3683*f[7, 150])/48)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v] + 
     (-4*f[7, 18] - f[7, 29]/2 - f[7, 37]/2 - f[7, 41]/6 - f[7, 42]/6 + 
       2*f[7, 43] + 2*f[7, 44] - 2*f[7, 45] - 2*f[7, 46] + (7*f[7, 47])/12 + 
       f[7, 48]/12 + (9*f[7, 49])/4 + (3*f[7, 50])/2 + (5*f[7, 51])/6 + 
       (11*f[7, 52])/2 - 2*f[7, 53] - (11*f[7, 54])/6 - 8*f[7, 55] + 
       (37*f[7, 56])/8 - (289*f[7, 57])/48 + 5*f[7, 58] - (53*f[7, 59])/12 + 
       (133*f[7, 60])/96 + (235*f[7, 61])/48 + (97*f[7, 62])/96 + 
       (97*f[7, 63])/96 - (97*f[7, 64])/96 + (213*f[7, 65])/16 - 
       (413*f[7, 66])/24 - (533*f[7, 67])/48 - (281*f[7, 68])/12 - 
       (293*f[7, 69])/12 + (461*f[7, 70])/48 - (461*f[7, 71])/48 + 
       (151*f[7, 72])/6 - (299*f[7, 73])/12 - (149*f[7, 74])/6 - 
       (25*f[7, 75])/16 + (4055*f[7, 76])/96 - (4067*f[7, 77])/96 + 
       (245*f[7, 78])/24 - (257*f[7, 79])/48 - (63*f[7, 80])/8 + 
       (413*f[7, 81])/12 + (1975*f[7, 82])/24 + 29*f[7, 83] + 
       (691*f[7, 84])/48 - (1207*f[7, 85])/32 - (1313*f[7, 86])/16 - 
       (1813*f[7, 87])/48 + (511*f[7, 88])/48 - (281*f[7, 89])/96 - 
       (329*f[7, 90])/32 - (298*f[7, 91])/3 - (1123*f[7, 92])/48 - 
       (681*f[7, 93])/32 - (227*f[7, 94])/12 - (2807*f[7, 95])/48 + 
       (173*f[7, 96])/12 + (917*f[7, 97])/24 + (1013*f[7, 98])/24 - 
       (969*f[7, 99])/32 - (1723*f[7, 100])/8 - (1013*f[7, 101])/32 + 
       (895*f[7, 102])/96 - (299*f[7, 103])/16 + (3055*f[7, 104])/96 - 
       (389*f[7, 105])/24 + (2111*f[7, 106])/24 - (3481*f[7, 107])/24 + 
       (983*f[7, 108])/96 + (575*f[7, 109])/96 - (569*f[7, 110])/48 - 
       (4247*f[7, 111])/96 + (4759*f[7, 112])/96 - (787*f[7, 113])/96 + 
       (161*f[7, 114])/24 - (185*f[7, 115])/96 + (143*f[7, 116])/8 - 
       (3769*f[7, 117])/6 - (403*f[7, 118])/16 + (7591*f[7, 119])/96 + 
       (4169*f[7, 120])/96 - (599*f[7, 121])/32 + (6017*f[7, 122])/96 + 
       (1805*f[7, 123])/96 - (1777*f[7, 124])/48 - (589*f[7, 125])/32 + 
       (1283*f[7, 126])/32 + 4*f[7, 129] - f[7, 132] + f[7, 134] - 
       (5*f[7, 135])/4 + (373*f[7, 136])/6 - (4447*f[7, 137])/12 - 
       (5619*f[7, 138])/16 - 2*f[7, 144] - 6*f[7, 145] - (323*f[7, 146])/3 - 
       (269*f[7, 147])/24 - (3819*f[7, 148])/8 - (54101*f[7, 149])/48 - 
       (3087*f[7, 150])/4)*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v] + 
     ((3*f[7, 132])/10 - (3*f[7, 134])/10 - (3*f[7, 135])/20 - 
       (363*f[7, 136])/80 + (17811*f[7, 137])/320 + (57951*f[7, 138])/1280 - 
       (3*f[7, 144])/5 + (801*f[7, 146])/80 + (177*f[7, 147])/80 + 
       (2313*f[7, 148])/40 + (189963*f[7, 149])/1280 + (42601*f[7, 150])/640)*
      HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u] + 
     (-3*f[7, 24] + (3*f[7, 25])/2 + 3*f[7, 26] + 3*f[7, 27] - 
       (3*f[7, 28])/2 + (3*f[7, 29])/2 - (3*f[7, 30])/2 + 6*f[7, 31] - 
       (3*f[7, 32])/2 + 5*f[7, 33] + 3*f[7, 35] - (3*f[7, 36])/2 + 
       13*f[7, 38] + (9*f[7, 39])/2 + (9*f[7, 40])/2 - (9*f[7, 41])/8 - 
       (9*f[7, 42])/8 - (3*f[7, 44])/2 - (3*f[7, 45])/2 - (15*f[7, 46])/2 + 
       (3*f[7, 47])/8 + (69*f[7, 48])/16 - 6*f[7, 49] + (37*f[7, 50])/8 + 
       (9*f[7, 51])/4 - (13*f[7, 52])/2 + (83*f[7, 53])/8 + 3*f[7, 54] - 
       (9*f[7, 55])/8 - (113*f[7, 56])/8 - (465*f[7, 57])/16 + 
       (35*f[7, 58])/2 + (2065*f[7, 59])/96 - (529*f[7, 60])/32 - 
       (725*f[7, 61])/16 - (1379*f[7, 62])/384 - (1379*f[7, 63])/384 + 
       (1379*f[7, 64])/384 - (625*f[7, 65])/4 + (2135*f[7, 66])/16 + 
       (1911*f[7, 67])/32 + (469*f[7, 68])/2 + (1899*f[7, 69])/8 - 
       (1315*f[7, 70])/32 + (1371*f[7, 71])/32 - (3643*f[7, 72])/16 + 
       (3593*f[7, 73])/16 + (3721*f[7, 74])/16 + (7429*f[7, 75])/384 - 
       (20403*f[7, 76])/64 + (2649*f[7, 77])/16 - (1625*f[7, 78])/16 + 
       (61427*f[7, 79])/384 + (29711*f[7, 80])/384 + (3107*f[7, 81])/16 - 
       (91475*f[7, 82])/96 - (3317*f[7, 83])/4 - (44219*f[7, 84])/384 + 
       (130367*f[7, 85])/384 + (304631*f[7, 86])/384 + 
       (144875*f[7, 87])/384 - (41107*f[7, 88])/384 + (27167*f[7, 89])/384 + 
       (20099*f[7, 90])/384 - (9919*f[7, 91])/96 + (50851*f[7, 92])/128 + 
       (145811*f[7, 93])/384 + (1453*f[7, 94])/128 + (65413*f[7, 95])/128 - 
       (2911*f[7, 96])/64 - (52807*f[7, 97])/192 - (51943*f[7, 98])/192 + 
       (40859*f[7, 99])/192 + (7765*f[7, 100])/6 + (40025*f[7, 101])/384 + 
       (43693*f[7, 102])/192 + (901*f[7, 103])/12 + (54529*f[7, 104])/384 + 
       (63245*f[7, 105])/384 - (12707*f[7, 106])/12 + (61379*f[7, 107])/96 - 
       (103991*f[7, 108])/384 - (32217*f[7, 109])/128 + (2231*f[7, 110])/16 + 
       (117545*f[7, 111])/384 - (49093*f[7, 112])/128 + 
       (4259*f[7, 113])/192 - (66193*f[7, 114])/384 - (44875*f[7, 115])/384 - 
       (32429*f[7, 116])/384 + (461911*f[7, 117])/96 + (6157*f[7, 118])/96 - 
       (56663*f[7, 119])/96 - (50773*f[7, 120])/128 + (23939*f[7, 121])/128 - 
       (221065*f[7, 122])/384 - (27115*f[7, 123])/128 + 
       (25383*f[7, 124])/64 + (101029*f[7, 125])/384 - 
       (59023*f[7, 126])/192 - (21*f[7, 129])/2 - (23*f[7, 132])/10 + 
       (23*f[7, 134])/10 - (37*f[7, 135])/20 + (1099*f[7, 136])/40 - 
       (52953*f[7, 137])/160 - (157493*f[7, 138])/640 - 6*f[7, 140] - 
       (67*f[7, 144])/5 + (17*f[7, 145])/2 - (1043*f[7, 146])/40 - 
       (557*f[7, 147])/80 + (14693*f[7, 148])/160 + (207091*f[7, 149])/640 + 
       (93361*f[7, 150])/960)*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u] + 
     ((3*f[7, 10])/2 + (3*f[7, 45])/2 + (3*f[7, 46])/2 - (3*f[7, 47])/8 - 
       (3*f[7, 48])/4 - (3*f[7, 49])/8 - (3*f[7, 50])/8 - (3*f[7, 52])/4 + 
       (3*f[7, 53])/8 + (3*f[7, 54])/8 - (9*f[7, 55])/8 + (9*f[7, 56])/8 + 
       (51*f[7, 57])/32 + (9*f[7, 58])/2 - (67*f[7, 59])/16 + 
       (33*f[7, 60])/64 + (27*f[7, 61])/32 - f[7, 62]/16 - f[7, 63]/16 + 
       f[7, 64]/16 - (117*f[7, 65])/32 + (117*f[7, 66])/16 + 
       (45*f[7, 67])/32 + (99*f[7, 68])/8 + (105*f[7, 69])/8 - 
       (117*f[7, 70])/32 + (117*f[7, 71])/32 - (207*f[7, 72])/16 + 
       (213*f[7, 73])/16 + (207*f[7, 74])/16 - (467*f[7, 75])/128 - 
       (579*f[7, 76])/32 + (549*f[7, 77])/64 - (105*f[7, 78])/16 + 
       (1175*f[7, 79])/128 + (155*f[7, 80])/128 + (789*f[7, 81])/32 - 
       (1673*f[7, 82])/32 - (327*f[7, 83])/8 - (1007*f[7, 84])/128 + 
       (2285*f[7, 85])/128 + (5387*f[7, 86])/128 + (2675*f[7, 87])/128 - 
       (1039*f[7, 88])/128 + (29*f[7, 89])/8 + (653*f[7, 90])/128 - 
       (257*f[7, 91])/16 + (2985*f[7, 92])/128 + (2273*f[7, 93])/128 - 
       (237*f[7, 94])/128 + (3831*f[7, 95])/128 - (123*f[7, 96])/32 - 
       (125*f[7, 97])/8 - (137*f[7, 98])/8 + (1435*f[7, 99])/128 + 
       (673*f[7, 100])/8 + (439*f[7, 101])/64 + (2093*f[7, 102])/128 + 
       (115*f[7, 103])/64 + (397*f[7, 104])/32 + (1031*f[7, 105])/128 - 
       (553*f[7, 106])/8 + (329*f[7, 107])/8 - (967*f[7, 108])/64 - 
       (615*f[7, 109])/64 + (1425*f[7, 110])/128 + (49*f[7, 111])/4 - 
       (1557*f[7, 112])/64 - (737*f[7, 113])/128 - (895*f[7, 114])/128 - 
       (1423*f[7, 115])/128 - (1055*f[7, 116])/128 + (4565*f[7, 117])/16 + 
       (133*f[7, 118])/128 - (2365*f[7, 119])/64 - (1461*f[7, 120])/64 + 
       (1083*f[7, 121])/64 - (3041*f[7, 122])/64 - (999*f[7, 123])/64 + 
       (1017*f[7, 124])/32 + (877*f[7, 125])/32 - (3341*f[7, 126])/128 - 
       (3*f[7, 135])/8 + (15*f[7, 136])/8 - (93*f[7, 137])/8 - 
       (789*f[7, 138])/64 + (3*f[7, 145])/2 + (9*f[7, 146])/2 + 
       (39*f[7, 147])/16 + (507*f[7, 148])/32 + (1125*f[7, 149])/32 + 
       (983*f[7, 150])/32)*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((3*f[7, 10])/2 + (3*f[7, 45])/2 + (3*f[7, 46])/2 - (3*f[7, 48])/4 - 
       (3*f[7, 49])/8 - (15*f[7, 50])/8 - (9*f[7, 53])/8 + (3*f[7, 54])/8 - 
       (33*f[7, 55])/8 + (33*f[7, 56])/32 + (3*f[7, 57])/64 - 
       (3*f[7, 58])/2 - (7*f[7, 59])/2 + (9*f[7, 60])/128 + 
       (39*f[7, 61])/64 + (7*f[7, 62])/4 + (7*f[7, 63])/4 - (7*f[7, 64])/4 - 
       (825*f[7, 65])/64 + (525*f[7, 66])/32 + (621*f[7, 67])/64 + 
       (573*f[7, 68])/16 + (573*f[7, 69])/16 - (597*f[7, 70])/64 + 
       (597*f[7, 71])/64 - (303*f[7, 72])/8 + 36*f[7, 73] + 
       (291*f[7, 74])/8 + (443*f[7, 75])/128 - (6819*f[7, 76])/128 + 
       (3945*f[7, 77])/128 - (573*f[7, 78])/32 + (2053*f[7, 79])/128 + 
       (601*f[7, 80])/128 - (705*f[7, 81])/32 - (2153*f[7, 82])/16 - 
       (1173*f[7, 83])/16 - (1993*f[7, 84])/128 + (3329*f[7, 85])/64 + 
       (16393*f[7, 86])/128 + (7753*f[7, 87])/128 - (2129*f[7, 88])/128 + 
       (151*f[7, 89])/32 + (139*f[7, 90])/32 + (295*f[7, 91])/32 + 
       (7053*f[7, 92])/128 + (755*f[7, 93])/16 + (2661*f[7, 94])/128 + 
       (10569*f[7, 95])/128 - (243*f[7, 96])/64 - (2483*f[7, 97])/64 - 
       (2579*f[7, 98])/64 + (4433*f[7, 99])/128 + (6983*f[7, 100])/32 + 
       (655*f[7, 101])/32 + (1699*f[7, 102])/128 + (773*f[7, 103])/64 - 
       (197*f[7, 104])/64 + (2449*f[7, 105])/128 - (2041*f[7, 106])/16 + 
       (235*f[7, 107])/2 - (1763*f[7, 108])/64 - (537*f[7, 109])/64 + 
       (477*f[7, 110])/32 + (1465*f[7, 111])/32 - (4137*f[7, 112])/64 - 
       (571*f[7, 113])/128 - (1553*f[7, 114])/128 + (199*f[7, 115])/32 - 
       (3265*f[7, 116])/128 + (21785*f[7, 117])/32 + (143*f[7, 118])/8 - 
       (10753*f[7, 119])/128 - (3249*f[7, 120])/64 + (1905*f[7, 121])/64 - 
       (5665*f[7, 122])/64 - (2091*f[7, 123])/64 + (987*f[7, 124])/16 + 
       (1337*f[7, 125])/32 - (7207*f[7, 126])/128 - (3*f[7, 135])/8 - 
       (57*f[7, 136])/8 - (1299*f[7, 137])/16 - (4839*f[7, 138])/64 + 
       3*f[7, 145] + (21*f[7, 146])/2 + (45*f[7, 147])/8 - 
       (315*f[7, 148])/32 - (1281*f[7, 149])/64 + (561*f[7, 150])/32)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v] + 
     ((-11*f[7, 52])/4 + (45*f[7, 53])/8 - 4*f[7, 55] + (15*f[7, 56])/8 - 
       (79*f[7, 57])/16 - 16*f[7, 58] - (5*f[7, 59])/4 - (49*f[7, 60])/32 - 
       (19*f[7, 61])/16 + (233*f[7, 62])/16 + (233*f[7, 63])/16 - 
       (233*f[7, 64])/16 + (265*f[7, 65])/16 - (157*f[7, 66])/8 - 
       (45*f[7, 67])/16 - (157*f[7, 68])/4 - (157*f[7, 69])/4 + 
       (213*f[7, 70])/16 - (209*f[7, 71])/16 + (157*f[7, 72])/4 - 
       (307*f[7, 73])/8 - (157*f[7, 74])/4 + (9*f[7, 75])/4 + 
       (1709*f[7, 76])/32 - (1985*f[7, 77])/32 + (157*f[7, 78])/8 - 
       (151*f[7, 79])/16 + (247*f[7, 80])/32 + (213*f[7, 81])/8 + 
       (767*f[7, 82])/8 + (191*f[7, 83])/4 + (233*f[7, 84])/16 - 
       (1253*f[7, 85])/32 - (911*f[7, 86])/8 - (93*f[7, 87])/2 + 
       (213*f[7, 88])/16 - (147*f[7, 89])/8 - (39*f[7, 90])/32 + 
       (859*f[7, 91])/8 - (1139*f[7, 92])/32 - (411*f[7, 93])/16 + 
       (1149*f[7, 94])/32 - (691*f[7, 95])/8 + (667*f[7, 96])/16 + 
       (81*f[7, 97])/16 + (13*f[7, 98])/16 - (313*f[7, 99])/8 - 
       (899*f[7, 100])/2 - (1921*f[7, 101])/32 - (2111*f[7, 102])/32 + 
       (297*f[7, 103])/32 - (143*f[7, 104])/4 + (313*f[7, 105])/16 + 
       135*f[7, 106] - (581*f[7, 107])/2 + (473*f[7, 108])/8 + 
       (625*f[7, 109])/16 + (209*f[7, 110])/16 - (401*f[7, 111])/16 + 
       (181*f[7, 112])/4 + (699*f[7, 113])/16 + (265*f[7, 114])/8 + 
       (83*f[7, 115])/4 - (51*f[7, 116])/16 - (9193*f[7, 117])/8 + 
       (271*f[7, 118])/16 + (1333*f[7, 119])/8 + (851*f[7, 120])/16 - 
       (821*f[7, 121])/16 + (1677*f[7, 122])/16 + (259*f[7, 123])/8 - 
       (1345*f[7, 124])/16 - (365*f[7, 125])/4 + (683*f[7, 126])/16 + 
       (97*f[7, 136])/8 - (1489*f[7, 137])/16 - (2775*f[7, 138])/32 - 
       56*f[7, 146] - (135*f[7, 147])/16 - (12809*f[7, 148])/64 - 
       (28935*f[7, 149])/64 - (20679*f[7, 150])/64)*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1, 1, 1}, 1 - v] + (-24*f[7, 24] + 3*f[7, 132] - 3*f[7, 149])*
      HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     (f[7, 6] - 8*f[7, 24] + f[7, 132] - f[7, 149])*HPL[{1}, 1 - u]*
      HPL[{0, 1, 0, 1, 1}, 1 - v] + ((6*f[7, 132])/5 - (6*f[7, 134])/5 + 
       (27*f[7, 135])/5 - (72*f[7, 136])/5 + (19573*f[7, 137])/40 + 
       (60803*f[7, 138])/160 - (12*f[7, 144])/5 - 12*f[7, 145] + 
       (333*f[7, 146])/10 - (1251*f[7, 147])/40 + (9611*f[7, 148])/20 + 
       (198959*f[7, 149])/160 + (12247*f[7, 150])/20)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1, 1, 1}, 1 - u] + (8*f[7, 13] + 11*f[7, 149])*
      HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v] + 
     (f[7, 131]/6 + f[7, 142]/4 + (7*f[7, 143])/16)*HPL[{1}, 1 - u]^4*
      SPw2f1[u, v] + (f[7, 131]/6 + f[7, 142]/2 + (2*f[7, 143])/3)*
      HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*SPw2f1[u, v] + 
     (-f[7, 128]/3 + (5*f[7, 130])/9 - (5*f[7, 131])/18 - (11*f[7, 141])/12 - 
       (11*f[7, 142])/18 + (5*f[7, 143])/24)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]^3*SPw2f1[u, v] + ((25*f[7, 12])/144 - (5*f[7, 16])/36 + 
       (13*f[7, 17])/18 + (7*f[7, 19])/48 + (37*f[7, 20])/144 + f[7, 128]/6 - 
       (5*f[7, 130])/18 - (10*f[7, 131])/9 - (7*f[7, 141])/12 + 
       (11*f[7, 142])/18 + (37*f[7, 143])/48)*HPL[{1}, 1 - v]^4*
      SPw2f1[u, v] + (f[7, 21] - f[7, 26]/5 + f[7, 27]/5 + f[7, 28]/10 - 
       (5*f[7, 30])/8 - f[7, 31]/5 + f[7, 32]/5 + (3*f[7, 33])/5 - 
       f[7, 35]/5 - f[7, 36]/10 - f[7, 37]/20 - (4*f[7, 38])/5 - 
       f[7, 39]/10 - (3*f[7, 40])/10 + f[7, 41]/20 + f[7, 42]/20 + 
       (3*f[7, 43])/10 + (3*f[7, 44])/5 + (11*f[7, 45])/10 + 
       (11*f[7, 46])/10 + f[7, 47]/5 + (7*f[7, 48])/10 + (17*f[7, 49])/40 - 
       (9*f[7, 50])/8 + (19*f[7, 51])/40 + f[7, 52] - (53*f[7, 53])/40 + 
       f[7, 54]/2 - (19*f[7, 55])/8 + (279*f[7, 56])/160 - (53*f[7, 57])/64 - 
       (269*f[7, 58])/20 + (37*f[7, 59])/30 + (357*f[7, 60])/640 + 
       (183*f[7, 61])/64 + (6113*f[7, 62])/960 + (6113*f[7, 63])/960 - 
       (6113*f[7, 64])/960 + (3471*f[7, 65])/320 - (1297*f[7, 66])/160 + 
       (1263*f[7, 67])/320 - (941*f[7, 68])/80 - (1017*f[7, 69])/80 + 
       (569*f[7, 70])/320 - (117*f[7, 71])/64 + (91*f[7, 72])/10 - 
       (109*f[7, 73])/10 - (431*f[7, 74])/40 + (14107*f[7, 75])/1920 + 
       (1857*f[7, 76])/128 - (9783*f[7, 77])/640 + (217*f[7, 78])/32 - 
       (24007*f[7, 79])/1920 - (4147*f[7, 80])/1920 - (2219*f[7, 81])/32 + 
       (979*f[7, 82])/30 + (657*f[7, 83])/16 + (16123*f[7, 84])/1920 - 
       (497*f[7, 85])/60 - (53347*f[7, 86])/1920 - (20527*f[7, 87])/1920 + 
       (2503*f[7, 88])/384 - (7829*f[7, 89])/960 - (7613*f[7, 90])/960 + 
       (5407*f[7, 91])/96 - (14109*f[7, 92])/640 - (7523*f[7, 93])/960 + 
       (15547*f[7, 94])/640 - (16573*f[7, 95])/640 + (5461*f[7, 96])/320 + 
       (1741*f[7, 97])/192 + (8609*f[7, 98])/960 - (3253*f[7, 99])/384 - 
       (11623*f[7, 100])/96 - (14963*f[7, 101])/960 - 
       (76147*f[7, 102])/1920 + (3187*f[7, 103])/960 - (1667*f[7, 104])/48 - 
       (487*f[7, 105])/1920 + (5371*f[7, 106])/60 - (20459*f[7, 107])/240 + 
       (1399*f[7, 108])/48 + (307*f[7, 109])/10 - (361*f[7, 110])/80 - 
       (2447*f[7, 111])/960 + (2129*f[7, 112])/160 + (24523*f[7, 113])/1920 + 
       (36767*f[7, 114])/1920 + (30601*f[7, 115])/960 - 
       (1357*f[7, 116])/384 - (197243*f[7, 117])/480 + (4459*f[7, 118])/480 + 
       (112357*f[7, 119])/1920 + (233*f[7, 120])/8 - (1739*f[7, 121])/80 + 
       (24713*f[7, 122])/480 + (2179*f[7, 123])/160 - (5697*f[7, 124])/160 - 
       (38521*f[7, 125])/960 + (37411*f[7, 126])/1920 + f[7, 132]/10 - 
       f[7, 134]/10 + (9*f[7, 135])/20 - (373*f[7, 136])/40 - 
       (377*f[7, 137])/80 + (1243*f[7, 138])/320 + f[7, 144]/5 + 
       (3*f[7, 145])/2 - (223*f[7, 146])/20 - (267*f[7, 147])/40 - 
       (3469*f[7, 148])/160 - (19419*f[7, 149])/320 - (2833*f[7, 150])/160)*
      HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*SPw2f1[u, v] + 
     (f[7, 26] + f[7, 27] - f[7, 30]/2 + f[7, 31] + f[7, 33] + f[7, 35] + 
       f[7, 40] + f[7, 47]/2 - f[7, 49]/2 - (9*f[7, 50])/8 + f[7, 51]/2 - 
       (3*f[7, 52])/2 + (7*f[7, 53])/8 + f[7, 54] - (57*f[7, 55])/8 - 
       (23*f[7, 56])/8 - (115*f[7, 57])/16 - (11*f[7, 58])/2 + 
       (13*f[7, 59])/3 - (161*f[7, 60])/32 - (191*f[7, 61])/16 + 
       (551*f[7, 62])/96 + (551*f[7, 63])/96 - (551*f[7, 64])/96 - 
       (169*f[7, 65])/8 + (231*f[7, 66])/16 + (399*f[7, 67])/32 + 
       (59*f[7, 68])/2 + (235*f[7, 69])/8 - (155*f[7, 70])/32 + 
       (155*f[7, 71])/32 - (499*f[7, 72])/16 + (423*f[7, 73])/16 + 
       (467*f[7, 74])/16 + (4439*f[7, 75])/384 - (2891*f[7, 76])/64 + 
       (195*f[7, 77])/16 - (231*f[7, 78])/16 + (8269*f[7, 79])/384 + 
       (5185*f[7, 80])/384 + (627*f[7, 81])/32 - (13129*f[7, 82])/96 - 
       (477*f[7, 83])/4 - (4861*f[7, 84])/384 + (19069*f[7, 85])/384 + 
       (44653*f[7, 86])/384 + (22945*f[7, 87])/384 - (4445*f[7, 88])/384 + 
       (97*f[7, 89])/24 + (349*f[7, 90])/384 + (317*f[7, 91])/12 + 
       (7077*f[7, 92])/128 + (22045*f[7, 93])/384 + (2391*f[7, 94])/128 + 
       (8059*f[7, 95])/128 + (475*f[7, 96])/32 - (4855*f[7, 97])/96 - 
       (4855*f[7, 98])/96 + (10421*f[7, 99])/384 + (3655*f[7, 100])/48 - 
       (181*f[7, 101])/192 + (5167*f[7, 102])/384 + (4049*f[7, 103])/192 + 
       (371*f[7, 104])/96 + (14965*f[7, 105])/384 - (5671*f[7, 106])/48 + 
       (277*f[7, 107])/24 - (3971*f[7, 108])/192 - (1187*f[7, 109])/64 + 
       (3035*f[7, 110])/128 + (2357*f[7, 111])/48 - (3373*f[7, 112])/64 + 
       (6257*f[7, 113])/384 - (6437*f[7, 114])/384 + (649*f[7, 115])/384 - 
       (8077*f[7, 116])/384 + (2579*f[7, 117])/6 + (9557*f[7, 118])/384 - 
       (259*f[7, 119])/6 - (2969*f[7, 120])/64 + (493*f[7, 121])/64 - 
       (9847*f[7, 122])/192 - (1189*f[7, 123])/64 + (833*f[7, 124])/32 + 
       (25*f[7, 125])/48 - (14347*f[7, 126])/384 - 3*f[7, 136] - 
       (235*f[7, 137])/8 - (559*f[7, 138])/32 - 2*f[7, 145] - 
       (5*f[7, 146])/2 - f[7, 147]/16 + (729*f[7, 148])/32 + 
       (627*f[7, 149])/8 + (89*f[7, 150])/48)*HPL[{1}, 1 - u]^2*
      HPL[{0, 1}, 1 - v]*SPw2f1[u, v] + ((3*f[7, 26])/10 - (3*f[7, 27])/10 - 
       (3*f[7, 28])/20 + f[7, 30] + (3*f[7, 31])/10 - (3*f[7, 32])/10 - 
       (9*f[7, 33])/10 + (3*f[7, 35])/10 + (3*f[7, 36])/20 + 
       (3*f[7, 37])/40 + (6*f[7, 38])/5 + (3*f[7, 39])/20 + (9*f[7, 40])/20 - 
       (3*f[7, 41])/40 - (3*f[7, 42])/40 - (9*f[7, 43])/20 - 
       (9*f[7, 44])/10 - (53*f[7, 45])/20 - (53*f[7, 46])/20 + 
       (21*f[7, 47])/80 - (21*f[7, 48])/20 - (31*f[7, 49])/80 + 
       (37*f[7, 50])/16 - (77*f[7, 51])/80 - (3*f[7, 52])/8 + 
       (169*f[7, 53])/80 - (5*f[7, 54])/4 + (57*f[7, 55])/16 - 
       (521*f[7, 56])/160 - (69*f[7, 57])/64 + (547*f[7, 58])/40 + 
       (9*f[7, 59])/160 - (803*f[7, 60])/640 - (297*f[7, 61])/64 - 
       (5693*f[7, 62])/640 - (5693*f[7, 63])/640 + (5693*f[7, 64])/640 - 
       (6099*f[7, 65])/320 + (1159*f[7, 66])/80 - (181*f[7, 67])/160 + 
       (2129*f[7, 68])/80 + (1049*f[7, 69])/40 - (823*f[7, 70])/160 + 
       (167*f[7, 71])/32 - (3789*f[7, 72])/160 + (3881*f[7, 73])/160 + 
       (3991*f[7, 74])/160 - (1977*f[7, 75])/1280 - (249*f[7, 76])/8 + 
       (16967*f[7, 77])/640 - (25*f[7, 78])/2 + (20057*f[7, 79])/1280 + 
       (837*f[7, 80])/1280 + (2887*f[7, 81])/64 - (24959*f[7, 82])/320 - 
       (575*f[7, 83])/8 - (13473*f[7, 84])/1280 + (34019*f[7, 85])/1280 + 
       (92877*f[7, 86])/1280 + (37617*f[7, 87])/1280 - (2157*f[7, 88])/256 + 
       (8119*f[7, 89])/640 + (5211*f[7, 90])/1280 - (1153*f[7, 91])/16 + 
       (45907*f[7, 92])/1280 + (35951*f[7, 93])/1280 - 
       (31931*f[7, 94])/1280 + (70509*f[7, 95])/1280 - (7099*f[7, 96])/320 - 
       (1159*f[7, 97])/64 - (5427*f[7, 98])/320 + (5111*f[7, 99])/256 + 
       (425*f[7, 100])/2 + (1961*f[7, 101])/80 + (68277*f[7, 102])/1280 - 
       (1037*f[7, 103])/640 + (4779*f[7, 104])/128 - (963*f[7, 105])/1280 - 
       (18449*f[7, 106])/160 + (20409*f[7, 107])/160 - (629*f[7, 108])/16 - 
       (11661*f[7, 109])/320 + (9069*f[7, 110])/1280 + 
       (13617*f[7, 111])/640 - (8927*f[7, 112])/320 - 
       (27873*f[7, 113])/1280 - (33197*f[7, 114])/1280 - 
       (29677*f[7, 115])/1280 + (1055*f[7, 116])/256 + (52667*f[7, 117])/80 - 
       (11071*f[7, 118])/1280 - (58051*f[7, 119])/640 - (313*f[7, 120])/8 + 
       (8619*f[7, 121])/320 - (20063*f[7, 122])/320 - (5867*f[7, 123])/320 + 
       (7383*f[7, 124])/160 + (29241*f[7, 125])/640 - 
       (30881*f[7, 126])/1280 - (3*f[7, 132])/20 + (3*f[7, 134])/20 - 
       (27*f[7, 135])/40 + (499*f[7, 136])/80 - (1121*f[7, 137])/40 - 
       (7287*f[7, 138])/320 - (3*f[7, 144])/10 - (3*f[7, 145])/2 + 
       (559*f[7, 146])/40 + (747*f[7, 147])/160 + (2393*f[7, 148])/80 + 
       (18591*f[7, 149])/320 + (3521*f[7, 150])/80)*HPL[{1}, 1 - v]^2*
      HPL[{0, 1}, 1 - v]*SPw2f1[u, v] + ((-4*f[7, 26])/5 + (4*f[7, 27])/5 + 
       (2*f[7, 28])/5 - (4*f[7, 31])/5 + (4*f[7, 32])/5 + (12*f[7, 33])/5 - 
       (4*f[7, 35])/5 - (7*f[7, 36])/5 + f[7, 37]/20 - (16*f[7, 38])/5 - 
       (2*f[7, 39])/5 - (6*f[7, 40])/5 + f[7, 41]/5 + f[7, 42]/5 + 
       (6*f[7, 43])/5 + (12*f[7, 44])/5 - (3*f[7, 45])/5 - (3*f[7, 46])/5 + 
       (3*f[7, 47])/10 - f[7, 48]/5 + (83*f[7, 49])/40 - (3*f[7, 50])/2 + 
       f[7, 51]/40 + 2*f[7, 52] - (51*f[7, 53])/20 - f[7, 54]/4 + 
       (3*f[7, 55])/2 + (723*f[7, 56])/80 - (125*f[7, 57])/32 - 
       (951*f[7, 58])/20 + (3*f[7, 59])/80 + (1709*f[7, 60])/320 + 
       (511*f[7, 61])/32 + (6959*f[7, 62])/320 + (6959*f[7, 63])/320 - 
       (6959*f[7, 64])/320 + (11987*f[7, 65])/160 - (5659*f[7, 66])/80 - 
       (1939*f[7, 67])/160 - (5427*f[7, 68])/40 - (5439*f[7, 69])/40 + 
       (5323*f[7, 70])/160 - (1055*f[7, 71])/32 + (5421*f[7, 72])/40 - 
       (2697*f[7, 73])/20 - (5409*f[7, 74])/40 + (113*f[7, 75])/20 + 
       (11729*f[7, 76])/64 - (38451*f[7, 77])/320 + (1043*f[7, 78])/16 - 
       (12029*f[7, 79])/160 - (1169*f[7, 80])/160 - (2457*f[7, 81])/16 + 
       (36821*f[7, 82])/80 + (1361*f[7, 83])/4 + (10091*f[7, 84])/160 - 
       (52211*f[7, 85])/320 - (33567*f[7, 86])/80 - (15157*f[7, 87])/80 + 
       (1795*f[7, 88])/32 - (15587*f[7, 89])/320 - (8239*f[7, 90])/320 + 
       (1865*f[7, 91])/8 - (4003*f[7, 92])/20 - (50029*f[7, 93])/320 + 
       (10197*f[7, 94])/160 - (46603*f[7, 95])/160 + (697*f[7, 96])/10 + 
       (1823*f[7, 97])/16 + (9163*f[7, 98])/80 - (7627*f[7, 99])/64 - 
       (15795*f[7, 100])/16 - (32399*f[7, 101])/320 - (63083*f[7, 102])/320 - 
       (531*f[7, 103])/80 - (8143*f[7, 104])/64 - (1441*f[7, 105])/40 + 
       (23291*f[7, 106])/40 - (42987*f[7, 107])/80 + (10993*f[7, 108])/64 + 
       (43401*f[7, 109])/320 - (8143*f[7, 110])/160 - (39621*f[7, 111])/320 + 
       (61227*f[7, 112])/320 + (24997*f[7, 113])/320 + (8287*f[7, 114])/80 + 
       (28003*f[7, 115])/320 + (235*f[7, 116])/8 - (124621*f[7, 117])/40 + 
       (481*f[7, 118])/80 + (133673*f[7, 119])/320 + (13721*f[7, 120])/64 - 
       (46219*f[7, 121])/320 + (117743*f[7, 122])/320 + 
       (36727*f[7, 123])/320 - (41353*f[7, 124])/160 - 
       (74613*f[7, 125])/320 + (57359*f[7, 126])/320 - f[7, 129] + 
       (4*f[7, 132])/5 - (4*f[7, 134])/5 + f[7, 135]/10 - (113*f[7, 136])/5 + 
       (889*f[7, 137])/5 + (12331*f[7, 138])/80 - 52*f[7, 146] - 
       17*f[7, 147] - (1791*f[7, 148])/16 - (891*f[7, 149])/4 - 
       (4607*f[7, 150])/24)*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      SPw2f1[u, v] + (f[7, 36] + 2*f[7, 43] + 2*f[7, 44] + f[7, 48]/2 + 
       (3*f[7, 49])/2 + (3*f[7, 51])/4 + (5*f[7, 54])/4 - 2*f[7, 55] + 
       (39*f[7, 56])/16 - (63*f[7, 57])/32 - (49*f[7, 58])/2 - 
       (25*f[7, 59])/24 + (35*f[7, 60])/64 - (3*f[7, 61])/32 + 
       (1199*f[7, 62])/96 + (1199*f[7, 63])/96 - (1199*f[7, 64])/96 + 
       (1485*f[7, 65])/32 - (821*f[7, 66])/16 - (429*f[7, 67])/32 - 
       (831*f[7, 68])/8 - (829*f[7, 69])/8 + (805*f[7, 70])/32 - 
       (805*f[7, 71])/32 + (835*f[7, 72])/8 - (827*f[7, 73])/8 - 
       (823*f[7, 74])/8 + (281*f[7, 75])/96 + (9329*f[7, 76])/64 - 
       (6733*f[7, 77])/64 + (829*f[7, 78])/16 - (5117*f[7, 79])/96 - 
       (611*f[7, 80])/96 - (253*f[7, 81])/8 + (16513*f[7, 82])/48 + 
       (1713*f[7, 83])/8 + (4451*f[7, 84])/96 - (24589*f[7, 85])/192 - 
       (32183*f[7, 86])/96 - (14639*f[7, 87])/96 + (4399*f[7, 88])/96 - 
       (3137*f[7, 89])/96 - (2803*f[7, 90])/192 + (6989*f[7, 91])/48 - 
       (2455*f[7, 92])/16 - (21727*f[7, 93])/192 + (561*f[7, 94])/32 - 
       (7397*f[7, 95])/32 + (1665*f[7, 96])/32 + (8033*f[7, 97])/96 + 
       (8033*f[7, 98])/96 - (4493*f[7, 99])/48 - (38651*f[7, 100])/48 - 
       (2129*f[7, 101])/24 - (5665*f[7, 102])/48 - (325*f[7, 103])/48 - 
       (3239*f[7, 104])/48 - (2297*f[7, 105])/96 + (2509*f[7, 106])/6 - 
       (10985*f[7, 107])/24 + (12209*f[7, 108])/96 + (2733*f[7, 109])/32 - 
       (1679*f[7, 110])/64 - (9443*f[7, 111])/96 + (5025*f[7, 112])/32 + 
       (2545*f[7, 113])/48 + (6661*f[7, 114])/96 + (8429*f[7, 115])/192 + 
       (3317*f[7, 116])/96 - (116453*f[7, 117])/48 - (521*f[7, 118])/192 + 
       (62827*f[7, 119])/192 + (5057*f[7, 120])/32 - (3543*f[7, 121])/32 + 
       (27007*f[7, 122])/96 + (3089*f[7, 123])/32 - (825*f[7, 124])/4 - 
       (17233*f[7, 125])/96 + (863*f[7, 126])/6 + f[7, 129] - f[7, 134]/2 + 
       f[7, 135]/4 - (23*f[7, 136])/2 + (821*f[7, 137])/8 + 
       (3061*f[7, 138])/32 - (49*f[7, 146])/2 - 5*f[7, 147] - 
       (1857*f[7, 148])/16 - (8689*f[7, 149])/32 - (8035*f[7, 150])/48)*
      HPL[{0, 1}, 1 - v]^2*SPw2f1[u, v] + 
     (f[7, 35] + 2*f[7, 40] + 2*f[7, 45] + 2*f[7, 46] + f[7, 48] - f[7, 49] - 
       f[7, 50] + (3*f[7, 51])/2 - (5*f[7, 52])/2 + (5*f[7, 54])/2 - 
       7*f[7, 55] - (17*f[7, 56])/8 - (83*f[7, 57])/16 - (11*f[7, 58])/2 + 
       (55*f[7, 59])/12 - (177*f[7, 60])/32 - (199*f[7, 61])/16 + 
       (773*f[7, 62])/96 + (773*f[7, 63])/96 - (773*f[7, 64])/96 - 
       (43*f[7, 65])/16 - (19*f[7, 66])/8 + (81*f[7, 67])/16 - 
       (19*f[7, 68])/4 - (19*f[7, 69])/4 + (47*f[7, 70])/16 - 
       (47*f[7, 71])/16 + (7*f[7, 72])/4 - 6*f[7, 73] - (15*f[7, 74])/4 + 
       (571*f[7, 75])/48 + (37*f[7, 76])/32 - (793*f[7, 77])/32 + 
       (19*f[7, 78])/8 + (65*f[7, 79])/12 + (95*f[7, 80])/12 + 
       (95*f[7, 81])/4 - (463*f[7, 82])/24 - (189*f[7, 83])/4 + 
       (71*f[7, 84])/24 + (331*f[7, 85])/96 + (245*f[7, 86])/48 + 
       (437*f[7, 87])/48 + (109*f[7, 88])/24 - (497*f[7, 89])/96 - 
       (293*f[7, 90])/96 + (137*f[7, 91])/3 + 6*f[7, 92] + 
       (1723*f[7, 93])/96 + (195*f[7, 94])/16 - 15*f[7, 95] + 
       (117*f[7, 96])/4 - (367*f[7, 97])/24 - (343*f[7, 98])/24 - 
       (583*f[7, 99])/96 - (4219*f[7, 100])/24 - (2813*f[7, 101])/96 - 
       (1229*f[7, 102])/96 + (313*f[7, 103])/24 - (451*f[7, 104])/96 + 
       (1355*f[7, 105])/48 + (271*f[7, 106])/24 - (3377*f[7, 107])/24 + 
       (1439*f[7, 108])/96 + (121*f[7, 109])/32 + (135*f[7, 110])/8 + 
       (937*f[7, 111])/96 + (139*f[7, 112])/32 + (2381*f[7, 113])/96 + 
       (47*f[7, 114])/48 + (895*f[7, 115])/96 - (275*f[7, 116])/48 - 
       (2083*f[7, 117])/6 + (395*f[7, 118])/24 + (5657*f[7, 119])/96 + 
       (99*f[7, 120])/32 - (843*f[7, 121])/32 + (3757*f[7, 122])/96 + 
       (447*f[7, 123])/32 - (665*f[7, 124])/16 - (5011*f[7, 125])/96 + 
       (1007*f[7, 126])/96 - f[7, 133]/2 + f[7, 134]/2 + (5*f[7, 135])/8 - 
       (23*f[7, 136])/4 - (501*f[7, 137])/16 - (1301*f[7, 138])/64 + 
       f[7, 145] + (19*f[7, 146])/4 + (161*f[7, 147])/16 - (97*f[7, 148])/2 - 
       (7229*f[7, 149])/64 - (451*f[7, 150])/6)*HPL[{1}, 1 - u]*
      HPL[{0, 0, 1}, 1 - u]*SPw2f1[u, v] + 
     (-f[7, 11] + 4*f[7, 31] - 12*f[7, 33] + f[7, 34]/2 - f[7, 45] - 
       f[7, 46] - f[7, 47]/4 - f[7, 48]/4 + f[7, 49]/4 + 3*f[7, 50] - 
       (3*f[7, 51])/8 + f[7, 52] + (3*f[7, 53])/2 - (5*f[7, 54])/8 + 
       (7*f[7, 55])/2 + (3*f[7, 56])/32 + f[7, 57]/64 + (29*f[7, 58])/4 - 
       (29*f[7, 59])/48 + (51*f[7, 60])/128 + (13*f[7, 61])/64 - 
       (587*f[7, 62])/192 - (587*f[7, 63])/192 + (587*f[7, 64])/192 + 
       (629*f[7, 65])/64 - (465*f[7, 66])/32 - (785*f[7, 67])/64 - 
       (545*f[7, 68])/16 - (529*f[7, 69])/16 + (561*f[7, 70])/64 - 
       (561*f[7, 71])/64 + (577*f[7, 72])/16 - (537*f[7, 73])/16 - 
       (545*f[7, 74])/16 - (1655*f[7, 75])/192 + (6645*f[7, 76])/128 - 
       (3421*f[7, 77])/128 + (517*f[7, 78])/32 - (2503*f[7, 79])/192 - 
       (1333*f[7, 80])/192 + (883*f[7, 81])/16 + (12869*f[7, 82])/96 + 
       (1231*f[7, 83])/16 + (2701*f[7, 84])/192 - (20333*f[7, 85])/384 - 
       (24799*f[7, 86])/192 - (12199*f[7, 87])/192 + (2825*f[7, 88])/192 - 
       (787*f[7, 89])/192 - (719*f[7, 90])/384 - (1823*f[7, 91])/96 - 
       (403*f[7, 92])/8 - (19391*f[7, 93])/384 - (1539*f[7, 94])/64 - 
       (5003*f[7, 95])/64 - (27*f[7, 96])/64 + (7393*f[7, 97])/192 + 
       (7585*f[7, 98])/192 - (1817*f[7, 99])/48 - (19399*f[7, 100])/96 - 
       (871*f[7, 101])/48 - (155*f[7, 102])/24 - (475*f[7, 103])/48 + 
       (947*f[7, 104])/96 - (4255*f[7, 105])/192 + (2749*f[7, 106])/24 - 
       (4975*f[7, 107])/48 + (4807*f[7, 108])/192 + (483*f[7, 109])/64 - 
       (1947*f[7, 110])/128 - (9277*f[7, 111])/192 + (4017*f[7, 112])/64 - 
       (313*f[7, 113])/96 + (2435*f[7, 114])/192 - (5087*f[7, 115])/384 + 
       (4723*f[7, 116])/192 - (59881*f[7, 117])/96 - (6061*f[7, 118])/384 + 
       (29543*f[7, 119])/384 + (2983*f[7, 120])/64 - (1469*f[7, 121])/64 + 
       (14309*f[7, 122])/192 + (1887*f[7, 123])/64 - (835*f[7, 124])/16 - 
       (5723*f[7, 125])/192 + (1175*f[7, 126])/24 + f[7, 133]/2 - 
       f[7, 134]/2 - f[7, 135]/8 + (9*f[7, 136])/4 + (401*f[7, 137])/16 + 
       (873*f[7, 138])/64 + f[7, 145] + (51*f[7, 146])/4 + 
       (237*f[7, 147])/16 - (403*f[7, 148])/8 - (7617*f[7, 149])/64 - 
       (257*f[7, 150])/4)*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
      SPw2f1[u, v] + (-f[7, 34] + 2*f[7, 45] + 2*f[7, 46] + f[7, 47] + 
       (3*f[7, 48])/2 - f[7, 49]/2 - 6*f[7, 50] + (5*f[7, 51])/4 - f[7, 52] - 
       5*f[7, 53] + (7*f[7, 54])/4 - 11*f[7, 55] - (11*f[7, 56])/16 - 
       (69*f[7, 57])/32 - (51*f[7, 58])/2 + (121*f[7, 59])/24 - 
       (127*f[7, 60])/64 - (49*f[7, 61])/32 + (1201*f[7, 62])/96 + 
       (1201*f[7, 63])/96 - (1201*f[7, 64])/96 - (857*f[7, 65])/32 + 
       (541*f[7, 66])/16 + (1085*f[7, 67])/32 + (677*f[7, 68])/8 + 
       (653*f[7, 69])/8 - (685*f[7, 70])/32 + (685*f[7, 71])/32 - 
       (725*f[7, 72])/8 + (661*f[7, 73])/8 + (677*f[7, 74])/8 + 
       (2827*f[7, 75])/96 - (8441*f[7, 76])/64 + (4401*f[7, 77])/64 - 
       (625*f[7, 78])/16 + (2591*f[7, 79])/96 + (1553*f[7, 80])/96 - 
       (1423*f[7, 81])/8 - (15553*f[7, 82])/48 - (1259*f[7, 83])/8 - 
       (3005*f[7, 84])/96 + (25297*f[7, 85])/192 + (31355*f[7, 86])/96 + 
       (15371*f[7, 87])/96 - (3193*f[7, 88])/96 + (437*f[7, 89])/96 - 
       (269*f[7, 90])/192 + (4399*f[7, 91])/48 + (955*f[7, 92])/8 + 
       (23515*f[7, 93])/192 + (2475*f[7, 94])/32 + (6171*f[7, 95])/32 + 
       (363*f[7, 96])/32 - (9497*f[7, 97])/96 - (9689*f[7, 98])/96 + 
       (4421*f[7, 99])/48 + (22331*f[7, 100])/48 + (2005*f[7, 101])/48 - 
       (413*f[7, 102])/48 + (209*f[7, 103])/6 - (305*f[7, 104])/6 + 
       (5747*f[7, 105])/96 - (698*f[7, 106])/3 + (5705*f[7, 107])/24 - 
       (4061*f[7, 108])/96 + (115*f[7, 109])/32 + (1939*f[7, 110])/64 + 
       (12563*f[7, 111])/96 - (5055*f[7, 112])/32 + (47*f[7, 113])/3 - 
       (1831*f[7, 114])/96 + (11803*f[7, 115])/192 - (6599*f[7, 116])/96 + 
       (67625*f[7, 117])/48 + (11237*f[7, 118])/192 - (32179*f[7, 119])/192 - 
       (3381*f[7, 120])/32 + (1403*f[7, 121])/32 - (15079*f[7, 122])/96 - 
       (2053*f[7, 123])/32 + (215*f[7, 124])/2 + (4249*f[7, 125])/96 - 
       (5551*f[7, 126])/48 - f[7, 133] + f[7, 134] + (3*f[7, 135])/4 - 
       (23*f[7, 136])/2 - (685*f[7, 137])/8 - (2469*f[7, 138])/32 - 
       4*f[7, 145] - (51*f[7, 146])/2 - (183*f[7, 147])/8 + 
       (339*f[7, 148])/4 + (7149*f[7, 149])/32 + (475*f[7, 150])/12)*
      HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*SPw2f1[u, v] + 
     (3*f[7, 136] + (55*f[7, 137])/4 + 9*f[7, 138] - 4*f[7, 145] - 
       (5*f[7, 146])/2 - (3*f[7, 147])/4 + (99*f[7, 148])/16 + 
       (387*f[7, 149])/16 - (487*f[7, 150])/12)*HPL[{1}, 1 - u]*
      HPL[{0, 1, 1}, 1 - u]*SPw2f1[u, v] + 
     (-f[7, 10] - 2*f[7, 30] - 2*f[7, 45] - 2*f[7, 46] + (3*f[7, 47])/4 + 
       f[7, 48]/2 + f[7, 49]/2 - f[7, 51]/4 + (3*f[7, 52])/2 - f[7, 53] - 
       (3*f[7, 54])/4 - 5*f[7, 55] - (11*f[7, 56])/8 - (25*f[7, 57])/8 - 
       (17*f[7, 58])/2 + (55*f[7, 59])/12 - (11*f[7, 60])/16 - 
       (7*f[7, 61])/8 + (17*f[7, 62])/96 + (17*f[7, 63])/96 - 
       (17*f[7, 64])/96 + (49*f[7, 65])/8 - 5*f[7, 66] + 2*f[7, 67] - 
       3*f[7, 69] + (3*f[7, 70])/2 - (3*f[7, 71])/2 - 2*f[7, 73] - f[7, 74] + 
       (67*f[7, 75])/12 + (25*f[7, 76])/16 - (103*f[7, 77])/16 + 
       (3*f[7, 78])/2 - (119*f[7, 79])/24 + (47*f[7, 80])/48 - 
       (199*f[7, 81])/4 - (23*f[7, 82])/3 + (109*f[7, 83])/4 + 
       (77*f[7, 84])/24 + (221*f[7, 85])/48 + (49*f[7, 86])/24 + 
       (19*f[7, 87])/24 + (67*f[7, 88])/24 - (281*f[7, 89])/96 - 
       (295*f[7, 90])/48 - (353*f[7, 91])/24 + (37*f[7, 92])/16 - 
       (13*f[7, 93])/48 + 9*f[7, 94] - (13*f[7, 95])/4 + (123*f[7, 96])/16 + 
       (193*f[7, 97])/48 + (337*f[7, 98])/48 + (167*f[7, 99])/96 - 
       (277*f[7, 100])/6 - (881*f[7, 101])/96 - (1481*f[7, 102])/96 + 
       (149*f[7, 103])/48 - (1429*f[7, 104])/96 - (163*f[7, 105])/48 + 
       (739*f[7, 106])/24 - (773*f[7, 107])/24 + (491*f[7, 108])/96 + 
       (273*f[7, 109])/32 - (99*f[7, 110])/32 + (289*f[7, 111])/96 + 
       (69*f[7, 112])/32 + (509*f[7, 113])/96 + (119*f[7, 114])/48 + 
       (379*f[7, 115])/24 - (53*f[7, 116])/48 - (2983*f[7, 117])/24 + 
       (113*f[7, 118])/96 + (1093*f[7, 119])/48 + (355*f[7, 120])/32 - 
       (259*f[7, 121])/32 + (2017*f[7, 122])/96 + (139*f[7, 123])/32 - 
       (183*f[7, 124])/16 - (1483*f[7, 125])/96 + (791*f[7, 126])/96 + 
       f[7, 135]/4 - 4*f[7, 136] - 2*f[7, 137] + (11*f[7, 138])/16 - 
       f[7, 145] - (17*f[7, 146])/2 - (49*f[7, 147])/8 - (5*f[7, 148])/4 + 
       (63*f[7, 149])/8 - (853*f[7, 150])/48)*HPL[{1}, 1 - v]*
      HPL[{0, 1, 1}, 1 - v]*SPw2f1[u, v] + 
     (f[7, 56]/4 - (7*f[7, 57])/8 + 4*f[7, 58] - f[7, 59]/6 + 
       (3*f[7, 60])/16 + (5*f[7, 61])/8 - (23*f[7, 62])/12 - 
       (23*f[7, 63])/12 + (23*f[7, 64])/12 + (5*f[7, 65])/8 - f[7, 66]/4 - 
       (17*f[7, 67])/8 - f[7, 68]/2 - f[7, 69]/2 + f[7, 70]/8 - f[7, 71]/8 + 
       f[7, 72]/2 - f[7, 73]/2 - f[7, 74]/2 - (73*f[7, 75])/24 + 
       (45*f[7, 76])/16 - (21*f[7, 77])/16 + f[7, 78]/4 + (7*f[7, 79])/24 - 
       (41*f[7, 80])/24 + (33*f[7, 81])/2 + (61*f[7, 82])/12 + f[7, 83]/2 - 
       f[7, 84]/24 - (145*f[7, 85])/48 - (173*f[7, 86])/24 - 
       (101*f[7, 87])/24 - (5*f[7, 88])/24 + (5*f[7, 89])/3 + 
       (5*f[7, 90])/48 - (325*f[7, 91])/12 - f[7, 92] - (139*f[7, 93])/48 - 
       (89*f[7, 94])/8 - (17*f[7, 95])/8 - (29*f[7, 96])/8 + 
       (71*f[7, 97])/24 + (71*f[7, 98])/24 - (43*f[7, 99])/24 + 
       (61*f[7, 100])/12 + (7*f[7, 101])/24 + (253*f[7, 102])/24 - 
       (37*f[7, 103])/12 + (245*f[7, 104])/24 - (107*f[7, 105])/24 - 
       (29*f[7, 106])/6 + (2*f[7, 107])/3 - (47*f[7, 108])/12 - 
       (9*f[7, 109])/2 - (9*f[7, 110])/16 - (16*f[7, 111])/3 + 
       (15*f[7, 112])/4 - (151*f[7, 113])/24 - (53*f[7, 114])/24 - 
       (343*f[7, 115])/48 + (83*f[7, 116])/24 + (157*f[7, 117])/12 - 
       (299*f[7, 118])/48 - (161*f[7, 119])/48 + (3*f[7, 120])/4 + 
       (7*f[7, 121])/2 - (61*f[7, 122])/12 - f[7, 123]/4 + (15*f[7, 124])/4 + 
       (103*f[7, 125])/12 + (5*f[7, 126])/24 - f[7, 135]/2 + 
       (27*f[7, 136])/2 + (3*f[7, 137])/4 + (37*f[7, 138])/16 - 4*f[7, 145] - 
       20*f[7, 146] - (43*f[7, 147])/4 - (29*f[7, 148])/8 - 
       (157*f[7, 149])/16 - (115*f[7, 150])/3)*HPL[{0, 0, 0, 1}, 1 - u]*
      SPw2f1[u, v] + (-2*f[7, 45] - 2*f[7, 46] - f[7, 47]/2 + f[7, 48] + 
       f[7, 49]/2 + 4*f[7, 50] - f[7, 52] + 3*f[7, 53] - f[7, 54]/2 + 
       9*f[7, 55] - (5*f[7, 56])/4 + 2*f[7, 57] + 10*f[7, 58] + 
       (15*f[7, 59])/4 + f[7, 60]/2 - f[7, 61]/2 - (19*f[7, 62])/4 - 
       (19*f[7, 63])/4 + (19*f[7, 64])/4 + 24*f[7, 65] - 29*f[7, 66] - 
       (43*f[7, 67])/2 - 67*f[7, 68] - 66*f[7, 69] + 17*f[7, 70] - 
       17*f[7, 71] + 72*f[7, 72] - (133*f[7, 73])/2 - 68*f[7, 74] - 
       (201*f[7, 75])/16 + (799*f[7, 76])/8 - (229*f[7, 77])/4 + 
       33*f[7, 78] - (401*f[7, 79])/16 - (115*f[7, 80])/16 + 
       (165*f[7, 81])/2 + (973*f[7, 82])/4 + 114*f[7, 83] + 
       (409*f[7, 84])/16 - (1559*f[7, 85])/16 - (3867*f[7, 86])/16 - 
       (1851*f[7, 87])/16 + (449*f[7, 88])/16 - (29*f[7, 89])/4 - 
       (17*f[7, 90])/16 - 31*f[7, 91] - (1555*f[7, 92])/16 - 
       (1363*f[7, 93])/16 - (791*f[7, 94])/16 - (2421*f[7, 95])/16 + 
       2*f[7, 96] + (289*f[7, 97])/4 + (297*f[7, 98])/4 - 
       (1039*f[7, 99])/16 - (787*f[7, 100])/2 - (295*f[7, 101])/8 - 
       (161*f[7, 102])/16 - (199*f[7, 103])/8 + (87*f[7, 104])/4 - 
       (557*f[7, 105])/16 + (817*f[7, 106])/4 - 209*f[7, 107] + 
       (339*f[7, 108])/8 + (27*f[7, 109])/8 - (359*f[7, 110])/16 - 
       89*f[7, 111] + (473*f[7, 112])/4 + (99*f[7, 113])/16 + 
       (281*f[7, 114])/16 - (449*f[7, 115])/16 + (781*f[7, 116])/16 - 
       1195*f[7, 117] - (605*f[7, 118])/16 + (587*f[7, 119])/4 + 
       85*f[7, 120] - (367*f[7, 121])/8 + (1137*f[7, 122])/8 + 
       (443*f[7, 123])/8 - (401*f[7, 124])/4 - 59*f[7, 125] + 
       (1539*f[7, 126])/16 + f[7, 135]/2 + (11*f[7, 136])/2 + 68*f[7, 137] + 
       63*f[7, 138] + 2*f[7, 145] + 10*f[7, 146] + (47*f[7, 147])/4 - 
       (549*f[7, 148])/8 - 180*f[7, 149] - (439*f[7, 150])/8)*
      HPL[{0, 0, 1, 1}, 1 - v]*SPw2f1[u, v] + 
     (3*f[7, 10] + 3*f[7, 45] + 3*f[7, 46] - (3*f[7, 48])/2 - 
       (3*f[7, 49])/4 - (15*f[7, 50])/4 - (9*f[7, 53])/4 + (3*f[7, 54])/4 - 
       (33*f[7, 55])/4 + (33*f[7, 56])/16 + (3*f[7, 57])/32 - 3*f[7, 58] - 
       7*f[7, 59] + (9*f[7, 60])/64 + (39*f[7, 61])/32 + (7*f[7, 62])/2 + 
       (7*f[7, 63])/2 - (7*f[7, 64])/2 - (825*f[7, 65])/32 + 
       (525*f[7, 66])/16 + (621*f[7, 67])/32 + (573*f[7, 68])/8 + 
       (573*f[7, 69])/8 - (597*f[7, 70])/32 + (597*f[7, 71])/32 - 
       (303*f[7, 72])/4 + 72*f[7, 73] + (291*f[7, 74])/4 + 
       (443*f[7, 75])/64 - (6819*f[7, 76])/64 + (3945*f[7, 77])/64 - 
       (573*f[7, 78])/16 + (2053*f[7, 79])/64 + (601*f[7, 80])/64 - 
       (705*f[7, 81])/16 - (2153*f[7, 82])/8 - (1173*f[7, 83])/8 - 
       (1993*f[7, 84])/64 + (3329*f[7, 85])/32 + (16393*f[7, 86])/64 + 
       (7753*f[7, 87])/64 - (2129*f[7, 88])/64 + (151*f[7, 89])/16 + 
       (139*f[7, 90])/16 + (295*f[7, 91])/16 + (7053*f[7, 92])/64 + 
       (755*f[7, 93])/8 + (2661*f[7, 94])/64 + (10569*f[7, 95])/64 - 
       (243*f[7, 96])/32 - (2483*f[7, 97])/32 - (2579*f[7, 98])/32 + 
       (4433*f[7, 99])/64 + (6983*f[7, 100])/16 + (655*f[7, 101])/16 + 
       (1699*f[7, 102])/64 + (773*f[7, 103])/32 - (197*f[7, 104])/32 + 
       (2449*f[7, 105])/64 - (2041*f[7, 106])/8 + 235*f[7, 107] - 
       (1763*f[7, 108])/32 - (537*f[7, 109])/32 + (477*f[7, 110])/16 + 
       (1465*f[7, 111])/16 - (4137*f[7, 112])/32 - (571*f[7, 113])/64 - 
       (1553*f[7, 114])/64 + (199*f[7, 115])/16 - (3265*f[7, 116])/64 + 
       (21785*f[7, 117])/16 + (143*f[7, 118])/4 - (10753*f[7, 119])/64 - 
       (3249*f[7, 120])/32 + (1905*f[7, 121])/32 - (5665*f[7, 122])/32 - 
       (2091*f[7, 123])/32 + (987*f[7, 124])/8 + (1337*f[7, 125])/16 - 
       (7207*f[7, 126])/64 - (3*f[7, 135])/4 - (9*f[7, 136])/4 - 
       (573*f[7, 137])/8 - (2139*f[7, 138])/32 - 3*f[7, 146] - 6*f[7, 147] + 
       (1233*f[7, 148])/16 + (5973*f[7, 149])/32 + (1297*f[7, 150])/16)*
      HPL[{0, 1, 1, 1}, 1 - v]*SPw2f1[u, v] + 
     ((3*f[7, 19])/8 + (3*f[7, 20])/4 - f[7, 130] - (5*f[7, 131])/2 + 
       f[7, 142]/2 + (5*f[7, 143])/4)*HPL[{1}, 1 - u]^2*SPw2f1[u, v]^2 + 
     (-f[7, 130] - f[7, 131] - (3*f[7, 141])/4 + (9*f[7, 143])/8)*
      HPL[{1}, 1 - v]^2*SPw2f1[u, v]^2 + ((-2*f[7, 26])/5 + (2*f[7, 27])/5 + 
       f[7, 28]/5 - (2*f[7, 31])/5 + (2*f[7, 32])/5 + (6*f[7, 33])/5 - 
       (2*f[7, 35])/5 - f[7, 36]/5 - f[7, 37]/10 - (8*f[7, 38])/5 - 
       f[7, 39]/5 - (3*f[7, 40])/5 + f[7, 41]/10 + f[7, 42]/10 + 
       (3*f[7, 43])/5 + (6*f[7, 44])/5 + f[7, 45]/5 + f[7, 46]/5 + 
       (3*f[7, 47])/20 - f[7, 48]/10 + (17*f[7, 49])/20 - (5*f[7, 50])/4 + 
       f[7, 51]/5 + (3*f[7, 52])/2 - (33*f[7, 53])/20 + f[7, 54]/4 + 
       f[7, 55]/4 + (249*f[7, 56])/80 - (17*f[7, 57])/32 - (52*f[7, 58])/5 + 
       (29*f[7, 59])/30 + (737*f[7, 60])/320 + (195*f[7, 61])/32 + 
       (113*f[7, 62])/30 + (113*f[7, 63])/30 - (113*f[7, 64])/30 + 
       (4251*f[7, 65])/160 - (2017*f[7, 66])/80 - (1137*f[7, 67])/160 - 
       (1891*f[7, 68])/40 - (1897*f[7, 69])/40 + (1689*f[7, 70])/160 - 
       (341*f[7, 71])/32 + (929*f[7, 72])/20 - (931*f[7, 73])/20 - 
       (234*f[7, 74])/5 + (787*f[7, 75])/960 + (4097*f[7, 76])/64 - 
       (12363*f[7, 77])/320 + (357*f[7, 78])/16 - (27247*f[7, 79])/960 - 
       (8287*f[7, 80])/960 - (795*f[7, 81])/16 + (10501*f[7, 82])/60 + 
       (1103*f[7, 83])/8 + (22483*f[7, 84])/960 - (14971*f[7, 85])/240 - 
       (145027*f[7, 86])/960 - (66967*f[7, 87])/960 + (4015*f[7, 88])/192 - 
       (419*f[7, 89])/30 - (5603*f[7, 90])/480 + (1849*f[7, 91])/48 - 
       (23629*f[7, 92])/320 - (30413*f[7, 93])/480 + (2247*f[7, 94])/320 - 
       (32973*f[7, 95])/320 + (2671*f[7, 96])/160 + (4903*f[7, 97])/96 + 
       (24419*f[7, 98])/480 - (8035*f[7, 99])/192 - (14539*f[7, 100])/48 - 
       (3407*f[7, 101])/120 - (52177*f[7, 102])/960 - (4853*f[7, 103])/480 - 
       (3161*f[7, 104])/96 - (22507*f[7, 105])/960 + (24979*f[7, 106])/120 - 
       (9577*f[7, 107])/60 + (5197*f[7, 108])/96 + (7119*f[7, 109])/160 - 
       (3769*f[7, 110])/160 - (3109*f[7, 111])/60 + (11873*f[7, 112])/160 + 
       (11233*f[7, 113])/960 + (31427*f[7, 114])/960 + 
       (12481*f[7, 115])/480 + (3311*f[7, 116])/192 - 
       (245573*f[7, 117])/240 - (3757*f[7, 118])/480 + 
       (125557*f[7, 119])/960 + (2449*f[7, 120])/32 - (7321*f[7, 121])/160 + 
       (60721*f[7, 122])/480 + (6603*f[7, 123])/160 - (3481*f[7, 124])/40 - 
       (16523*f[7, 125])/240 + (63661*f[7, 126])/960 + f[7, 132]/5 - 
       f[7, 134]/5 + (3*f[7, 135])/20 - (103*f[7, 136])/20 + 
       (1833*f[7, 137])/40 + (6153*f[7, 138])/160 + (2*f[7, 144])/5 - 
       (54*f[7, 146])/5 - (57*f[7, 147])/20 - (971*f[7, 148])/20 - 
       (19559*f[7, 149])/160 - (8657*f[7, 150])/120)*HPL[{0, 1}, 1 - u]*
      SPw2f1[u, v]^2 + (-f[7, 132]/10 + f[7, 134]/10 + f[7, 135]/20 + 
       (93*f[7, 136])/40 - (68*f[7, 137])/5 - (3733*f[7, 138])/320 + 
       f[7, 144]/5 - (93*f[7, 146])/20 - (13*f[7, 147])/10 - 
       (2409*f[7, 148])/160 - (1453*f[7, 149])/40 - (5407*f[7, 150])/240)*
      HPL[{0, 1}, 1 - v]*SPw2f1[u, v]^2 + 
     (f[7, 26]/15 - f[7, 27]/15 - f[7, 28]/30 + f[7, 31]/15 - f[7, 32]/15 - 
       f[7, 33]/5 + f[7, 35]/15 + f[7, 36]/30 + f[7, 37]/60 + 
       (8*f[7, 38])/5 + f[7, 39]/30 + f[7, 40]/10 - f[7, 41]/60 - 
       f[7, 42]/60 - f[7, 43]/10 - f[7, 44]/5 - (11*f[7, 45])/30 - 
       (31*f[7, 46])/30 - (3*f[7, 47])/20 - (7*f[7, 48])/30 - 
       (17*f[7, 49])/120 + (17*f[7, 50])/24 - (19*f[7, 51])/120 - 
       f[7, 52]/2 + (31*f[7, 53])/40 - f[7, 54]/6 + (9*f[7, 55])/8 - 
       (269*f[7, 56])/480 + (119*f[7, 57])/192 + (349*f[7, 58])/60 - 
       (203*f[7, 59])/360 - (167*f[7, 60])/1920 - (173*f[7, 61])/192 - 
       (7273*f[7, 62])/2880 - (7273*f[7, 63])/2880 + (7273*f[7, 64])/2880 - 
       (1327*f[7, 65])/320 + (1807*f[7, 66])/480 - (1553*f[7, 67])/960 + 
       (1201*f[7, 68])/240 + (389*f[7, 69])/80 - (479*f[7, 70])/960 + 
       (33*f[7, 71])/64 - (101*f[7, 72])/30 + (67*f[7, 73])/15 + 
       (511*f[7, 74])/120 - (24167*f[7, 75])/5760 - (1267*f[7, 76])/384 + 
       (1431*f[7, 77])/640 - (79*f[7, 78])/96 + (32327*f[7, 79])/5760 + 
       (10667*f[7, 80])/5760 + (1093*f[7, 81])/32 - (15337*f[7, 82])/720 - 
       (1321*f[7, 83])/48 - (23363*f[7, 84])/5760 + (14587*f[7, 85])/2880 + 
       (44087*f[7, 86])/5760 + (14867*f[7, 87])/5760 - (3743*f[7, 88])/1152 + 
       (11269*f[7, 89])/2880 + (3397*f[7, 90])/720 - (8273*f[7, 91])/288 + 
       (19489*f[7, 92])/1920 + (2621*f[7, 93])/360 - (7869*f[7, 94])/640 + 
       (17533*f[7, 95])/1920 - (2037*f[7, 96])/320 - (1955*f[7, 97])/576 - 
       (8719*f[7, 98])/2880 + (3905*f[7, 99])/1152 + (10421*f[7, 100])/288 + 
       (7123*f[7, 101])/2880 + (106847*f[7, 102])/5760 - 
       (4637*f[7, 103])/2880 + (1235*f[7, 104])/72 + (3407*f[7, 105])/5760 - 
       (14617*f[7, 106])/360 + (13939*f[7, 107])/720 - (116*f[7, 108])/9 - 
       (1963*f[7, 109])/120 + (4919*f[7, 110])/960 + (4327*f[7, 111])/2880 - 
       (82*f[7, 112])/15 - (21323*f[7, 113])/5760 - (47287*f[7, 114])/5760 - 
       (23413*f[7, 115])/1440 + (3677*f[7, 116])/1152 + 
       (212893*f[7, 117])/1440 - (17293*f[7, 118])/2880 - 
       (109907*f[7, 119])/5760 - (275*f[7, 120])/24 + (2479*f[7, 121])/240 - 
       (33643*f[7, 122])/1440 - (3209*f[7, 123])/480 + (8207*f[7, 124])/480 + 
       (53081*f[7, 125])/2880 - (43451*f[7, 126])/5760 - f[7, 132]/30 + 
       f[7, 134]/30 - (7*f[7, 135])/30 + (433*f[7, 136])/120 - 
       (893*f[7, 137])/240 - (571*f[7, 138])/320 - f[7, 144]/15 + 
       f[7, 145]/2 + (81*f[7, 146])/20 + (629*f[7, 147])/240 + 
       (2789*f[7, 148])/480 + (4233*f[7, 149])/320 + (4159*f[7, 150])/240)*
      HPL[{1}, 1 - u]^3*SPw3f1[u, v] + (-f[7, 26]/5 + f[7, 27]/5 + 
       f[7, 28]/10 - f[7, 31]/5 + f[7, 32]/5 + (3*f[7, 33])/5 - f[7, 35]/5 - 
       f[7, 36]/10 - f[7, 37]/20 - (4*f[7, 38])/5 - f[7, 39]/10 - 
       (3*f[7, 40])/10 + f[7, 41]/20 + f[7, 42]/20 + (3*f[7, 43])/10 + 
       (3*f[7, 44])/5 + (11*f[7, 45])/10 + (11*f[7, 46])/10 - f[7, 47]/20 + 
       (7*f[7, 48])/10 + (17*f[7, 49])/40 - (9*f[7, 50])/8 + 
       (19*f[7, 51])/40 + f[7, 52]/2 - (53*f[7, 53])/40 + f[7, 54]/2 - 
       (7*f[7, 55])/8 + (289*f[7, 56])/160 + (13*f[7, 57])/64 - 
       (189*f[7, 58])/20 + (31*f[7, 59])/40 + (547*f[7, 60])/640 + 
       (193*f[7, 61])/64 + (1651*f[7, 62])/320 + (1651*f[7, 63])/320 - 
       (1651*f[7, 64])/320 + (6081*f[7, 65])/320 - (2827*f[7, 66])/160 - 
       (1067*f[7, 67])/320 - (2661*f[7, 68])/80 - (2667*f[7, 69])/80 + 
       (2459*f[7, 70])/320 - (495*f[7, 71])/64 + (637*f[7, 72])/20 - 
       (643*f[7, 73])/20 - (1301*f[7, 74])/40 + (1469*f[7, 75])/640 + 
       (5607*f[7, 76])/128 - (19353*f[7, 77])/640 + (507*f[7, 78])/32 - 
       (12549*f[7, 79])/640 - (2769*f[7, 80])/640 - (1151*f[7, 81])/32 + 
       (9389*f[7, 82])/80 + (1497*f[7, 83])/16 + (10281*f[7, 84])/640 - 
       (13379*f[7, 85])/320 - (65869*f[7, 86])/640 - (29649*f[7, 87])/640 + 
       (1885*f[7, 88])/128 - (3743*f[7, 89])/320 - (1163*f[7, 90])/160 + 
       (1503*f[7, 91])/32 - (32009*f[7, 92])/640 - (6683*f[7, 93])/160 + 
       (7247*f[7, 94])/640 - (46853*f[7, 95])/640 + (5611*f[7, 96])/320 + 
       (1989*f[7, 97])/64 + (9913*f[7, 98])/320 - (3771*f[7, 99])/128 - 
       (7659*f[7, 100])/32 - (7901*f[7, 101])/320 - (29029*f[7, 102])/640 - 
       (1161*f[7, 103])/320 - (465*f[7, 104])/16 - (6509*f[7, 105])/640 + 
       (5949*f[7, 106])/40 - (10553*f[7, 107])/80 + (85*f[7, 108])/2 + 
       (1373*f[7, 109])/40 - (4189*f[7, 110])/320 - (10549*f[7, 111])/320 + 
       (3957*f[7, 112])/80 + (9441*f[7, 113])/640 + (16069*f[7, 114])/640 + 
       (1753*f[7, 115])/80 + (1081*f[7, 116])/128 - (123651*f[7, 117])/160 + 
       (61*f[7, 118])/320 + (65429*f[7, 119])/640 + (425*f[7, 120])/8 - 
       (2829*f[7, 121])/80 + (14741*f[7, 122])/160 + (4809*f[7, 123])/160 - 
       (10507*f[7, 124])/160 - (18147*f[7, 125])/320 + 
       (28897*f[7, 126])/640 + f[7, 132]/10 - f[7, 134]/10 + 
       (9*f[7, 135])/20 - (173*f[7, 136])/40 + (2643*f[7, 137])/80 + 
       (9043*f[7, 138])/320 + f[7, 144]/5 + f[7, 145]/2 - 
       (193*f[7, 146])/20 - (239*f[7, 147])/80 - (5689*f[7, 148])/160 - 
       (27669*f[7, 149])/320 - (4539*f[7, 150])/80)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*SPw3f1[u, v] + (f[7, 30]/4 - 2*f[7, 45] - 2*f[7, 46] + 
       (3*f[7, 47])/16 - f[7, 48]/2 + f[7, 49]/4 + (5*f[7, 50])/4 - 
       f[7, 51]/2 + (3*f[7, 52])/8 - (3*f[7, 53])/4 - (3*f[7, 54])/4 + 
       (15*f[7, 55])/8 - (55*f[7, 56])/64 - (95*f[7, 57])/128 + 5*f[7, 58] + 
       (137*f[7, 59])/96 + (83*f[7, 60])/256 - (27*f[7, 61])/128 - 
       (121*f[7, 62])/24 - (121*f[7, 63])/24 + (121*f[7, 64])/24 + 
       (109*f[7, 65])/128 - (157*f[7, 66])/64 - (621*f[7, 67])/128 - 
       (149*f[7, 68])/32 - (165*f[7, 69])/32 + (221*f[7, 70])/128 - 
       (221*f[7, 71])/128 + (229*f[7, 72])/32 - (193*f[7, 73])/32 - 
       (189*f[7, 74])/32 - (41*f[7, 75])/12 + (2557*f[7, 76])/256 - 
       (29*f[7, 77])/256 + (165*f[7, 78])/64 - (4*f[7, 79])/3 - 
       (119*f[7, 80])/96 + 17*f[7, 81] + (5083*f[7, 82])/192 + 
       (351*f[7, 83])/32 + (427*f[7, 84])/192 - (8467*f[7, 85])/768 - 
       (4957*f[7, 86])/192 - (2863*f[7, 87])/192 + (533*f[7, 88])/192 + 
       (449*f[7, 89])/192 + (119*f[7, 90])/768 - (6673*f[7, 91])/192 - 
       (1099*f[7, 92])/128 - (8389*f[7, 93])/768 - (251*f[7, 94])/16 - 
       (799*f[7, 95])/64 - (1165*f[7, 96])/128 + (4667*f[7, 97])/384 + 
       (5531*f[7, 98])/384 - (1013*f[7, 99])/192 + (517*f[7, 100])/192 + 
       (1249*f[7, 101])/384 + (289*f[7, 102])/24 - (1297*f[7, 103])/192 + 
       (5129*f[7, 104])/384 - (2251*f[7, 105])/192 + (625*f[7, 106])/96 + 
       (749*f[7, 107])/48 - (1235*f[7, 108])/192 - (347*f[7, 109])/32 - 
       (1755*f[7, 110])/256 - (2443*f[7, 111])/192 + (247*f[7, 112])/16 - 
       (163*f[7, 113])/24 - (1027*f[7, 114])/192 - (9109*f[7, 115])/768 + 
       (2233*f[7, 116])/192 - (1295*f[7, 117])/192 - (9281*f[7, 118])/768 - 
       (2477*f[7, 119])/768 + (331*f[7, 120])/64 + (31*f[7, 121])/32 + 
       (1475*f[7, 122])/192 + (239*f[7, 123])/64 - (129*f[7, 124])/64 + 
       (85*f[7, 125])/12 + (1121*f[7, 126])/96 - f[7, 135]/4 + 
       (9*f[7, 136])/4 + (141*f[7, 137])/32 + (691*f[7, 138])/128 - 
       (3*f[7, 145])/4 + 5*f[7, 146] + (53*f[7, 147])/16 - 
       (237*f[7, 148])/64 - (2257*f[7, 149])/128 + (517*f[7, 150])/96)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*SPw3f1[u, v] + 
     (-f[7, 13]/3 - f[7, 21]/3 - f[7, 26]/15 + f[7, 27]/15 + f[7, 28]/30 - 
       f[7, 30]/8 - f[7, 31]/15 + f[7, 32]/15 + f[7, 33]/5 - (2*f[7, 35])/5 - 
       f[7, 36]/30 - f[7, 37]/60 - (4*f[7, 38])/15 - f[7, 39]/30 - 
       (13*f[7, 40])/30 + f[7, 41]/60 + f[7, 42]/60 + f[7, 43]/10 + 
       f[7, 44]/5 + (6*f[7, 45])/5 + (6*f[7, 46])/5 - f[7, 47]/60 + 
       (29*f[7, 48])/60 + f[7, 49]/10 - (13*f[7, 50])/24 + (13*f[7, 51])/40 + 
       f[7, 52] - (73*f[7, 53])/120 + (3*f[7, 54])/8 - (5*f[7, 55])/24 + 
       (221*f[7, 56])/120 + (169*f[7, 57])/96 - (409*f[7, 58])/60 - 
       (317*f[7, 59])/360 + (1351*f[7, 60])/960 + (449*f[7, 61])/96 + 
       (8783*f[7, 62])/2880 + (8783*f[7, 63])/2880 - (8783*f[7, 64])/2880 + 
       (3163*f[7, 65])/480 - (63*f[7, 66])/20 + (281*f[7, 67])/120 - 
       (289*f[7, 68])/60 - (67*f[7, 69])/15 - f[7, 70]/10 + f[7, 71]/12 + 
       (703*f[7, 72])/240 - (279*f[7, 73])/80 - (319*f[7, 74])/80 + 
       (13807*f[7, 75])/5760 + (167*f[7, 76])/48 - (139*f[7, 77])/960 + 
       (17*f[7, 78])/8 - (47407*f[7, 79])/5760 - (20047*f[7, 80])/5760 - 
       (1619*f[7, 81])/32 + (30829*f[7, 82])/1440 + (353*f[7, 83])/8 + 
       (18583*f[7, 84])/5760 - (25069*f[7, 85])/5760 - 
       (46627*f[7, 86])/5760 - (16927*f[7, 87])/5760 + (2011*f[7, 88])/1152 - 
       (12629*f[7, 89])/2880 - (20341*f[7, 90])/5760 + (2011*f[7, 91])/72 - 
       (20779*f[7, 92])/1920 - (57481*f[7, 93])/5760 + 
       (29227*f[7, 94])/1920 - (13073*f[7, 95])/1920 + (2023*f[7, 96])/480 + 
       (1889*f[7, 97])/288 + (6757*f[7, 98])/1440 - (1513*f[7, 99])/1152 - 
       (295*f[7, 100])/18 + (13*f[7, 101])/45 - (134827*f[7, 102])/5760 + 
       (187*f[7, 103])/2880 - (13265*f[7, 104])/576 - 
       (21187*f[7, 105])/5760 + (8071*f[7, 106])/180 - (2399*f[7, 107])/720 + 
       (2143*f[7, 108])/144 + (3449*f[7, 109])/160 - (12113*f[7, 110])/1920 - 
       (3347*f[7, 111])/2880 + (233*f[7, 112])/160 + (11983*f[7, 113])/5760 + 
       (70907*f[7, 114])/5760 + (112667*f[7, 115])/5760 - 
       (6145*f[7, 116])/1152 - (46487*f[7, 117])/360 + 
       (30601*f[7, 118])/5760 + (45581*f[7, 119])/2880 + 
       (1219*f[7, 120])/96 - (911*f[7, 121])/160 + (22223*f[7, 122])/1440 + 
       (1429*f[7, 123])/480 - (727*f[7, 124])/80 - (30691*f[7, 125])/2880 + 
       (17191*f[7, 126])/5760 + f[7, 135]/8 + (29*f[7, 136])/24 + 
       (37*f[7, 137])/2 + (1789*f[7, 138])/192 + (2*f[7, 144])/15 - 
       (4*f[7, 145])/3 - (901*f[7, 146])/60 - (4831*f[7, 147])/480 + 
       (909*f[7, 148])/160 + (30497*f[7, 149])/960 - (24187*f[7, 150])/960)*
      HPL[{1}, 1 - v]^3*SPw3f1[u, v] + ((-9*f[7, 56])/8 + (15*f[7, 57])/16 + 
       17*f[7, 58] + (3*f[7, 59])/4 - (3*f[7, 60])/32 - (21*f[7, 61])/16 - 
       (71*f[7, 62])/8 - (71*f[7, 63])/8 + (71*f[7, 64])/8 - 
       (205*f[7, 65])/16 + (101*f[7, 66])/8 - (35*f[7, 67])/16 + 
       (101*f[7, 68])/4 + (101*f[7, 69])/4 - (93*f[7, 70])/16 + 
       (93*f[7, 71])/16 - (101*f[7, 72])/4 + (101*f[7, 73])/4 + 
       (101*f[7, 74])/4 - (41*f[7, 75])/8 - (1061*f[7, 76])/32 + 
       (909*f[7, 77])/32 - (101*f[7, 78])/8 + 14*f[7, 79] - 4*f[7, 80] + 
       43*f[7, 81] - (533*f[7, 82])/8 - (157*f[7, 83])/4 - (85*f[7, 84])/8 + 
       (733*f[7, 85])/32 + (275*f[7, 86])/4 + (115*f[7, 87])/4 - 
       (79*f[7, 88])/8 + 13*f[7, 89] + (83*f[7, 90])/32 - (801*f[7, 91])/8 + 
       (577*f[7, 92])/16 + (531*f[7, 93])/32 - 29*f[7, 94] + 
       (415*f[7, 95])/8 - (379*f[7, 96])/16 - (141*f[7, 97])/16 - 
       (141*f[7, 98])/16 + (151*f[7, 99])/8 + (1897*f[7, 100])/8 + 
       (447*f[7, 101])/16 + (213*f[7, 102])/4 - (51*f[7, 103])/8 + 
       (635*f[7, 104])/16 - (53*f[7, 105])/8 - (439*f[7, 106])/4 + 
       139*f[7, 107] - (85*f[7, 108])/2 - (267*f[7, 109])/8 + 
       (35*f[7, 110])/32 + (21*f[7, 111])/2 - (53*f[7, 112])/2 - 
       (249*f[7, 113])/8 - (201*f[7, 114])/8 - (889*f[7, 115])/32 + 
       (25*f[7, 116])/8 + (5473*f[7, 117])/8 - (417*f[7, 118])/32 - 
       (3137*f[7, 119])/32 - (79*f[7, 120])/2 + (269*f[7, 121])/8 - 
       74*f[7, 122] - 22*f[7, 123] + (445*f[7, 124])/8 + (489*f[7, 125])/8 - 
       (239*f[7, 126])/8 - f[7, 135]/4 + 13*f[7, 136] - (671*f[7, 137])/8 - 
       (2521*f[7, 138])/32 + (13*f[7, 146])/2 + (55*f[7, 147])/8 - 
       (515*f[7, 148])/16 - (2895*f[7, 149])/32 - (1555*f[7, 150])/48)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*SPw3f1[u, v] + 
     (f[7, 129] - f[7, 135]/4 + (143*f[7, 136])/4 - (793*f[7, 137])/4 - 
       (2981*f[7, 138])/16 + 2*f[7, 140] - f[7, 145] - (147*f[7, 146])/2 - 
       (171*f[7, 147])/8 - (3661*f[7, 148])/16 - (8429*f[7, 149])/16 - 
       (8651*f[7, 150])/24)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*SPw3f1[u, v] + 
     (4*f[7, 58] - (23*f[7, 62])/16 - (23*f[7, 63])/16 + (23*f[7, 64])/16 - 
       2*f[7, 65] + 2*f[7, 66] - f[7, 67] + 4*f[7, 68] + 4*f[7, 69] - 
       f[7, 70]/2 + f[7, 71]/2 - 4*f[7, 72] + 4*f[7, 73] + 4*f[7, 74] - 
       (21*f[7, 75])/16 - 5*f[7, 76] + 3*f[7, 77] - f[7, 78] + 
       (57*f[7, 79])/16 - (13*f[7, 80])/16 + (53*f[7, 81])/4 - 
       (45*f[7, 82])/4 - (21*f[7, 83])/2 - (29*f[7, 84])/16 + 
       (53*f[7, 85])/16 + (165*f[7, 86])/16 + (69*f[7, 87])/16 - 
       (29*f[7, 88])/16 + (39*f[7, 89])/16 + (13*f[7, 90])/16 - 
       (87*f[7, 91])/4 + (115*f[7, 92])/16 + (61*f[7, 93])/16 - 
       (89*f[7, 94])/16 + (125*f[7, 95])/16 - (31*f[7, 96])/8 - 
       (9*f[7, 97])/8 - (9*f[7, 98])/8 + 2*f[7, 99] + (67*f[7, 100])/2 + 
       (55*f[7, 101])/16 + (83*f[7, 102])/8 - (15*f[7, 103])/8 + 
       (157*f[7, 104])/16 - (17*f[7, 105])/16 - (81*f[7, 106])/4 + 
       (71*f[7, 107])/4 - (127*f[7, 108])/16 - (111*f[7, 109])/16 + 
       (7*f[7, 110])/8 + (9*f[7, 111])/16 - (59*f[7, 112])/16 - 
       (45*f[7, 113])/8 - (75*f[7, 114])/16 - (101*f[7, 115])/16 + 
       (17*f[7, 116])/16 + (423*f[7, 117])/4 - (25*f[7, 118])/8 - 
       (123*f[7, 119])/8 - (113*f[7, 120])/16 + (93*f[7, 121])/16 - 
       (205*f[7, 122])/16 - (69*f[7, 123])/16 + (81*f[7, 124])/8 + 
       (177*f[7, 125])/16 - (19*f[7, 126])/4 + (13*f[7, 136])/2 - 
       (165*f[7, 137])/4 - (633*f[7, 138])/16 - 6*f[7, 146] + f[7, 147]/2 - 
       (303*f[7, 148])/8 - (1417*f[7, 149])/16 - (211*f[7, 150])/4)*
      HPL[{0, 1, 1}, 1 - u]*SPw3f1[u, v] + 
     ((-2*f[7, 26])/5 + (2*f[7, 27])/5 + f[7, 28]/5 - (2*f[7, 31])/5 + 
       (2*f[7, 32])/5 + (6*f[7, 33])/5 - (2*f[7, 35])/5 - f[7, 36]/5 - 
       f[7, 37]/10 - (8*f[7, 38])/5 - f[7, 39]/5 - (3*f[7, 40])/5 + 
       f[7, 41]/10 + f[7, 42]/10 + (3*f[7, 43])/5 + (6*f[7, 44])/5 + 
       (11*f[7, 45])/5 + (11*f[7, 46])/5 - f[7, 47]/10 + (7*f[7, 48])/5 + 
       (17*f[7, 49])/20 - (9*f[7, 50])/4 + (19*f[7, 51])/20 + f[7, 52] - 
       (53*f[7, 53])/20 + f[7, 54] - (7*f[7, 55])/4 + (289*f[7, 56])/80 + 
       (13*f[7, 57])/32 - (189*f[7, 58])/10 + (31*f[7, 59])/20 + 
       (547*f[7, 60])/320 + (193*f[7, 61])/32 + (1651*f[7, 62])/160 + 
       (1651*f[7, 63])/160 - (1651*f[7, 64])/160 + (5601*f[7, 65])/160 - 
       (2667*f[7, 66])/80 - (907*f[7, 67])/160 - (2521*f[7, 68])/40 - 
       (2507*f[7, 69])/40 + (2299*f[7, 70])/160 - (463*f[7, 71])/32 + 
       (301*f[7, 72])/5 - (304*f[7, 73])/5 - (1231*f[7, 74])/20 + 
       (1649*f[7, 75])/320 + (5279*f[7, 76])/64 - (18393*f[7, 77])/320 + 
       (475*f[7, 78])/16 - (12009*f[7, 79])/320 - (2709*f[7, 80])/320 - 
       (1187*f[7, 81])/16 + (8839*f[7, 82])/40 + (1425*f[7, 83])/8 + 
       (9741*f[7, 84])/320 - (12509*f[7, 85])/160 - (61569*f[7, 86])/320 - 
       (27589*f[7, 87])/320 + (1777*f[7, 88])/64 - (3503*f[7, 89])/160 - 
       (287*f[7, 90])/20 + (1471*f[7, 91])/16 - (30309*f[7, 92])/320 - 
       (393*f[7, 93])/5 + (7467*f[7, 94])/320 - (43913*f[7, 95])/320 + 
       (5371*f[7, 96])/160 + (1869*f[7, 97])/32 + (9313*f[7, 98])/160 - 
       (3519*f[7, 99])/64 - (7235*f[7, 100])/16 - (7481*f[7, 101])/160 - 
       (27889*f[7, 102])/320 - (1101*f[7, 103])/160 - (457*f[7, 104])/8 - 
       (5969*f[7, 105])/320 + (5679*f[7, 106])/20 - (10073*f[7, 107])/40 + 
       (653*f[7, 108])/8 + (2671*f[7, 109])/40 - (3959*f[7, 110])/160 - 
       (9749*f[7, 111])/160 + (923*f[7, 112])/10 + (9021*f[7, 113])/320 + 
       (15529*f[7, 114])/320 + (3501*f[7, 115])/80 + (973*f[7, 116])/64 - 
       (117251*f[7, 117])/80 + (171*f[7, 118])/160 + (61749*f[7, 119])/320 + 
       (807*f[7, 120])/8 - (1347*f[7, 121])/20 + (13971*f[7, 122])/80 + 
       (4539*f[7, 123])/80 - (9967*f[7, 124])/80 - (17307*f[7, 125])/160 + 
       (27277*f[7, 126])/320 + f[7, 132]/5 - f[7, 134]/5 + (9*f[7, 135])/10 - 
       (173*f[7, 136])/20 + (2483*f[7, 137])/40 + (8443*f[7, 138])/160 + 
       (2*f[7, 144])/5 + f[7, 145] - (193*f[7, 146])/10 - 
       (259*f[7, 147])/40 - (5389*f[7, 148])/80 - (25749*f[7, 149])/160 - 
       (4359*f[7, 150])/40)*HPL[{1}, 1 - v]*SPw2f1[u, v]*SPw3f1[u, v] + 
     (f[7, 34]/4 - f[7, 45]/2 - f[7, 46]/2 - f[7, 47]/8 + (3*f[7, 48])/8 + 
       f[7, 49]/8 + f[7, 50] - f[7, 51]/8 + f[7, 52]/2 + (3*f[7, 53])/4 - 
       (3*f[7, 54])/8 + (7*f[7, 55])/4 + (3*f[7, 56])/8 - f[7, 57]/32 - 
       2*f[7, 58] + f[7, 59]/12 + (13*f[7, 60])/64 + (31*f[7, 61])/32 + 
       (103*f[7, 62])/192 + (103*f[7, 63])/192 - (103*f[7, 64])/192 + 
       (379*f[7, 65])/32 - (215*f[7, 66])/16 - (203*f[7, 67])/32 - 
       (233*f[7, 68])/8 - (231*f[7, 69])/8 + (227*f[7, 70])/32 - 
       (227*f[7, 71])/32 + (243*f[7, 72])/8 - (59*f[7, 73])/2 - 
       (235*f[7, 74])/8 - (755*f[7, 75])/192 + (2745*f[7, 76])/64 - 
       (1611*f[7, 77])/64 + (231*f[7, 78])/16 - (2545*f[7, 79])/192 - 
       (487*f[7, 80])/192 + (187*f[7, 81])/16 + (1231*f[7, 82])/12 + 
       (233*f[7, 83])/4 + (2245*f[7, 84])/192 - (3779*f[7, 85])/96 - 
       (19369*f[7, 86])/192 - (9109*f[7, 87])/192 + (2261*f[7, 88])/192 - 
       (1195*f[7, 89])/192 - (115*f[7, 90])/48 + (185*f[7, 91])/12 - 
       (2769*f[7, 92])/64 - (1705*f[7, 93])/48 - (465*f[7, 94])/64 - 
       (4115*f[7, 95])/64 + (105*f[7, 96])/16 + (659*f[7, 97])/24 + 
       (671*f[7, 98])/24 - (1319*f[7, 99])/48 - (9257*f[7, 100])/48 - 
       (3655*f[7, 101])/192 - (61*f[7, 102])/3 - (67*f[7, 103])/12 - 
       (1187*f[7, 104])/192 - (2467*f[7, 105])/192 + (4973*f[7, 106])/48 - 
       (4867*f[7, 107])/48 + (5095*f[7, 108])/192 + (865*f[7, 109])/64 - 
       (659*f[7, 110])/64 - (6517*f[7, 111])/192 + (2973*f[7, 112])/64 + 
       (385*f[7, 113])/48 + (2771*f[7, 114])/192 - (89*f[7, 115])/96 + 
       (2779*f[7, 116])/192 - (6989*f[7, 117])/12 - (1661*f[7, 118])/192 + 
       (14449*f[7, 119])/192 + (2635*f[7, 120])/64 - (1495*f[7, 121])/64 + 
       (12737*f[7, 122])/192 + (1531*f[7, 123])/64 - (1497*f[7, 124])/32 - 
       (6533*f[7, 125])/192 + (1879*f[7, 126])/48 + f[7, 133]/4 + 
       f[7, 135]/8 - (29*f[7, 136])/8 + (359*f[7, 137])/8 + 
       (663*f[7, 138])/16 + f[7, 145]/2 + (9*f[7, 146])/2 + 
       (67*f[7, 147])/16 - (105*f[7, 148])/8 - (1155*f[7, 149])/32 - 
       (79*f[7, 150])/32)*SPw3f1[u, v]^2 + 
     (-f[7, 65]/4 + f[7, 66]/4 + f[7, 67]/8 + f[7, 68]/2 + f[7, 69]/2 - 
       f[7, 70]/8 + f[7, 71]/8 - f[7, 72]/2 + f[7, 73]/2 + f[7, 74]/2 - 
       (3*f[7, 75])/32 - (2*f[7, 76])/3 + (13*f[7, 77])/24 - 
       (5*f[7, 78])/12 + (29*f[7, 79])/96 + (7*f[7, 80])/32 + 
       (13*f[7, 81])/24 - (43*f[7, 82])/24 - (11*f[7, 83])/6 - 
       (29*f[7, 84])/96 + (23*f[7, 85])/32 + (157*f[7, 86])/96 + 
       (23*f[7, 87])/32 - (29*f[7, 88])/96 + f[7, 89]/12 + (7*f[7, 90])/32 + 
       (5*f[7, 91])/6 + (23*f[7, 92])/32 + (65*f[7, 93])/96 + 
       (19*f[7, 94])/96 + (113*f[7, 95])/96 - f[7, 96]/6 - f[7, 97]/2 - 
       f[7, 98]/2 + (49*f[7, 99])/96 + (10*f[7, 100])/3 + (3*f[7, 101])/8 + 
       (35*f[7, 102])/96 + f[7, 103]/6 + (5*f[7, 104])/48 + 
       (29*f[7, 105])/96 - (29*f[7, 106])/12 + (5*f[7, 107])/2 - 
       (29*f[7, 108])/48 - (23*f[7, 109])/48 + (7*f[7, 110])/32 + 
       (13*f[7, 111])/24 - (15*f[7, 112])/16 + (13*f[7, 113])/96 - 
       (29*f[7, 114])/96 - (31*f[7, 115])/96 - (11*f[7, 116])/32 + 
       (23*f[7, 117])/2 + (19*f[7, 118])/96 - (23*f[7, 119])/16 - 
       (15*f[7, 120])/16 + (29*f[7, 121])/48 - (27*f[7, 122])/16 - 
       (29*f[7, 123])/48 + (29*f[7, 124])/24 + (23*f[7, 125])/24 - 
       (91*f[7, 126])/96 - f[7, 132]/30 + f[7, 134]/30 - (7*f[7, 135])/30 + 
       (101*f[7, 136])/40 - (1127*f[7, 137])/160 - (4351*f[7, 138])/1920 + 
       f[7, 144]/15 + (5*f[7, 145])/12 - (403*f[7, 146])/60 - 
       (271*f[7, 147])/60 - (4733*f[7, 148])/960 - (23173*f[7, 149])/1920 - 
       (4253*f[7, 150])/480)*HPL[{1}, 1 - u]^3*SPw3f1[v, u] + 
     (f[7, 65]/4 - f[7, 66]/4 - f[7, 67]/8 - f[7, 68]/2 - f[7, 69]/2 + 
       f[7, 70]/8 - f[7, 71]/8 + f[7, 72]/2 - f[7, 73]/2 - f[7, 74]/2 + 
       (5*f[7, 76])/8 - (3*f[7, 77])/8 + f[7, 78]/4 - f[7, 79]/4 - 
       f[7, 80]/8 + 2*f[7, 82] + (3*f[7, 83])/2 + f[7, 84]/4 - 
       (3*f[7, 85])/4 - (13*f[7, 86])/8 - (3*f[7, 87])/4 + f[7, 88]/4 - 
       f[7, 89]/8 - f[7, 90]/8 - (3*f[7, 92])/4 - (3*f[7, 93])/4 - 
       f[7, 94]/8 - (9*f[7, 95])/8 + f[7, 96]/8 + f[7, 97]/2 + f[7, 98]/2 - 
       f[7, 99]/2 - 3*f[7, 100] - f[7, 101]/4 - (3*f[7, 102])/8 - 
       f[7, 103]/8 - f[7, 104]/8 - f[7, 105]/4 + 2*f[7, 106] - 2*f[7, 107] + 
       f[7, 108]/2 + (3*f[7, 109])/8 - f[7, 110]/4 - (5*f[7, 111])/8 + 
       (7*f[7, 112])/8 + f[7, 114]/4 + f[7, 115]/8 + f[7, 116]/4 - 
       10*f[7, 117] - f[7, 118]/8 + (5*f[7, 119])/4 + (3*f[7, 120])/4 - 
       f[7, 121]/2 + (11*f[7, 122])/8 + f[7, 123]/2 - f[7, 124] - 
       (3*f[7, 125])/4 + (3*f[7, 126])/4 + f[7, 137]/2 + (3*f[7, 138])/8 - 
       f[7, 148]/2 - (5*f[7, 149])/4 - (3*f[7, 150])/4)*HPL[{1}, 1 - u]^2*
      HPL[{1}, 1 - v]*SPw3f1[v, u] + (-f[7, 45] - f[7, 46] - f[7, 48]/2 + 
       f[7, 50] - f[7, 51]/4 - f[7, 53]/2 - f[7, 54]/4 + 2*f[7, 55] - 
       (5*f[7, 56])/16 + f[7, 57]/32 + (11*f[7, 58])/2 + (5*f[7, 59])/24 + 
       (19*f[7, 60])/64 - (3*f[7, 61])/32 - (373*f[7, 62])/96 - 
       (373*f[7, 63])/96 + (373*f[7, 64])/96 - (19*f[7, 65])/32 - 
       (5*f[7, 66])/16 - (117*f[7, 67])/32 - (21*f[7, 68])/8 - 
       (21*f[7, 69])/8 + (21*f[7, 70])/32 - (21*f[7, 71])/32 + 
       (33*f[7, 72])/8 - (25*f[7, 73])/8 - (25*f[7, 74])/8 - 
       (319*f[7, 75])/96 + (397*f[7, 76])/64 - (5*f[7, 77])/64 + 
       (21*f[7, 78])/16 + (7*f[7, 79])/96 - (155*f[7, 80])/96 + 
       (167*f[7, 81])/8 + (793*f[7, 82])/48 + (13*f[7, 83])/8 + 
       (95*f[7, 84])/96 - (1429*f[7, 85])/192 - (1643*f[7, 86])/96 - 
       (947*f[7, 87])/96 + (139*f[7, 88])/96 + (283*f[7, 89])/96 + 
       (149*f[7, 90])/192 - (1411*f[7, 91])/48 - (41*f[7, 92])/8 - 
       (1351*f[7, 93])/192 - (449*f[7, 94])/32 - (233*f[7, 95])/32 - 
       (251*f[7, 96])/32 + (821*f[7, 97])/96 + (941*f[7, 98])/96 - 
       (179*f[7, 99])/48 + (601*f[7, 100])/48 + (149*f[7, 101])/48 + 
       (641*f[7, 102])/48 - (35*f[7, 103])/6 + (163*f[7, 104])/12 - 
       (773*f[7, 105])/96 - (31*f[7, 106])/12 + (283*f[7, 107])/24 - 
       (595*f[7, 108])/96 - (311*f[7, 109])/32 - (199*f[7, 110])/64 - 
       (887*f[7, 111])/96 + (333*f[7, 112])/32 - (347*f[7, 113])/48 - 
       (455*f[7, 114])/96 - (2227*f[7, 115])/192 + (881*f[7, 116])/96 + 
       (1123*f[7, 117])/48 - (1925*f[7, 118])/192 - (1337*f[7, 119])/192 + 
       (57*f[7, 120])/32 + (77*f[7, 121])/32 + (139*f[7, 122])/96 + 
       (53*f[7, 123])/32 + f[7, 124] + (779*f[7, 125])/96 + 
       (85*f[7, 126])/12 - f[7, 135]/4 + (5*f[7, 136])/2 + (21*f[7, 137])/8 + 
       (91*f[7, 138])/32 + (11*f[7, 146])/2 + (27*f[7, 147])/8 - 
       (27*f[7, 148])/16 - (273*f[7, 149])/32 + (359*f[7, 150])/48)*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*SPw3f1[v, u] + 
     (f[7, 53]/4 + (5*f[7, 62])/16 + (5*f[7, 63])/16 - (5*f[7, 64])/16 - 
       (5*f[7, 75])/16 + (5*f[7, 79])/16 + (5*f[7, 80])/16 + (5*f[7, 81])/2 - 
       f[7, 82] - (5*f[7, 83])/2 - (5*f[7, 84])/16 + (5*f[7, 85])/16 + 
       (5*f[7, 86])/16 + (5*f[7, 87])/16 - (5*f[7, 88])/16 - 
       (5*f[7, 89])/16 + (5*f[7, 90])/16 + (5*f[7, 91])/4 + (5*f[7, 92])/16 + 
       (15*f[7, 93])/16 - (5*f[7, 94])/16 + (5*f[7, 95])/16 + 
       (5*f[7, 96])/8 - (7*f[7, 97])/8 - (15*f[7, 98])/8 - (5*f[7, 100])/2 - 
       (5*f[7, 101])/16 + (5*f[7, 103])/8 + (5*f[7, 104])/16 + 
       (15*f[7, 105])/16 - (5*f[7, 106])/4 - (5*f[7, 107])/4 + 
       (5*f[7, 108])/16 + (5*f[7, 109])/16 + (5*f[7, 110])/8 + 
       (5*f[7, 111])/16 - (15*f[7, 112])/16 + (5*f[7, 113])/8 + 
       (5*f[7, 114])/16 - (5*f[7, 115])/16 - (15*f[7, 116])/16 - 
       (5*f[7, 117])/4 + (5*f[7, 118])/8 + (5*f[7, 119])/8 - 
       (5*f[7, 120])/16 + (5*f[7, 121])/16 - (25*f[7, 122])/16 - 
       (5*f[7, 123])/16 + (5*f[7, 124])/8 + (5*f[7, 125])/16 - 
       (5*f[7, 126])/4 + (5*f[7, 150])/4)*HPL[{1}, 1 - v]^3*SPw3f1[v, u] + 
     (3*f[7, 78]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*SPw3f1[v, u])/4 + 
     (-f[7, 36] - f[7, 56]/2 + f[7, 57]/4 + 6*f[7, 58] + f[7, 59]/3 - 
       f[7, 60]/8 - (3*f[7, 61])/4 - (8*f[7, 62])/3 - (8*f[7, 63])/3 + 
       (8*f[7, 64])/3 - (19*f[7, 65])/4 + (9*f[7, 66])/2 - (3*f[7, 67])/4 + 
       9*f[7, 68] + 9*f[7, 69] - (7*f[7, 70])/4 + (7*f[7, 71])/4 - 
       9*f[7, 72] + (19*f[7, 73])/2 + 9*f[7, 74] - (25*f[7, 75])/24 - 
       (95*f[7, 76])/8 + (69*f[7, 77])/8 - (9*f[7, 78])/2 + 
       (151*f[7, 79])/24 - f[7, 80]/3 + (35*f[7, 81])/2 - (80*f[7, 82])/3 - 
       20*f[7, 83] - (91*f[7, 84])/24 + (107*f[7, 85])/12 + 
       (613*f[7, 86])/24 + (265*f[7, 87])/24 - (83*f[7, 88])/24 + 
       (14*f[7, 89])/3 + (17*f[7, 90])/12 - (197*f[7, 91])/6 + 
       (29*f[7, 92])/2 + (187*f[7, 93])/24 - (33*f[7, 94])/4 + 
       (145*f[7, 95])/8 - (29*f[7, 96])/4 - (53*f[7, 97])/12 - 
       (53*f[7, 98])/12 + (149*f[7, 99])/24 + (229*f[7, 100])/3 + 
       (199*f[7, 101])/24 + (221*f[7, 102])/12 - (47*f[7, 103])/24 + 
       (175*f[7, 104])/12 - (5*f[7, 105])/24 - (127*f[7, 106])/3 + 
       (125*f[7, 107])/3 - (185*f[7, 108])/12 - (53*f[7, 109])/4 + 
       (13*f[7, 110])/8 + (14*f[7, 111])/3 - (19*f[7, 112])/2 - 
       (205*f[7, 113])/24 - (227*f[7, 114])/24 - (239*f[7, 115])/24 + 
       (29*f[7, 116])/24 + (1385*f[7, 117])/6 - (103*f[7, 118])/24 - 
       (98*f[7, 119])/3 - (59*f[7, 120])/4 + (43*f[7, 121])/4 - 
       (295*f[7, 122])/12 - (33*f[7, 123])/4 + (37*f[7, 124])/2 + 
       (58*f[7, 125])/3 - (241*f[7, 126])/24 - f[7, 129] + (5*f[7, 136])/2 - 
       9*f[7, 137] - (31*f[7, 138])/4 + 6*f[7, 146] + (5*f[7, 147])/2 + 
       (39*f[7, 148])/4 + (91*f[7, 149])/4 + (197*f[7, 150])/12)*
      HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*SPw3f1[v, u] + 
     (-f[7, 52] - (39*f[7, 56])/16 + (17*f[7, 57])/32 + 13*f[7, 58] + 
       (13*f[7, 59])/8 - (61*f[7, 60])/64 - (139*f[7, 61])/32 - 
       (233*f[7, 62])/32 - (233*f[7, 63])/32 + (233*f[7, 64])/32 - 
       (459*f[7, 65])/32 + (199*f[7, 66])/16 - (9*f[7, 67])/32 + 
       (199*f[7, 68])/8 + (199*f[7, 69])/8 - (207*f[7, 70])/32 + 
       (207*f[7, 71])/32 - (199*f[7, 72])/8 + (207*f[7, 73])/8 + 
       (199*f[7, 74])/8 - (7*f[7, 75])/4 - (2163*f[7, 76])/64 + 
       (1515*f[7, 77])/64 - (199*f[7, 78])/16 + (25*f[7, 79])/2 - 
       (9*f[7, 80])/4 + (135*f[7, 81])/4 - (1155*f[7, 82])/16 - 
       (351*f[7, 83])/8 - (167*f[7, 84])/16 + (1639*f[7, 85])/64 + 
       (1161*f[7, 86])/16 + (505*f[7, 87])/16 - (141*f[7, 88])/16 + 
       (359*f[7, 89])/32 + (141*f[7, 90])/64 - (1133*f[7, 91])/16 + 
       (1109*f[7, 92])/32 + (1229*f[7, 93])/64 - (377*f[7, 94])/16 + 
       (827*f[7, 95])/16 - (591*f[7, 96])/32 - (469*f[7, 97])/32 - 
       (469*f[7, 98])/32 + (667*f[7, 99])/32 + (3303*f[7, 100])/16 + 
       (359*f[7, 101])/16 + (1463*f[7, 102])/32 - (45*f[7, 103])/16 + 
       (237*f[7, 104])/8 - f[7, 105]/8 - (213*f[7, 106])/2 + 
       (883*f[7, 107])/8 - (1137*f[7, 108])/32 - (891*f[7, 109])/32 + 
       (535*f[7, 110])/64 + (557*f[7, 111])/32 - (915*f[7, 112])/32 - 
       (777*f[7, 113])/32 - (45*f[7, 114])/2 - (1311*f[7, 115])/64 + 
       (3*f[7, 116])/8 + (9725*f[7, 117])/16 - (501*f[7, 118])/64 - 
       (5483*f[7, 119])/64 - (1231*f[7, 120])/32 + (885*f[7, 121])/32 - 
       (2103*f[7, 122])/32 - (603*f[7, 123])/32 + (183*f[7, 124])/4 + 
       (1519*f[7, 125])/32 - (935*f[7, 126])/32 + (49*f[7, 136])/4 - 
       (125*f[7, 137])/2 - 60*f[7, 138] + 2*f[7, 146] + 3*f[7, 147] - 
       (99*f[7, 148])/8 - (581*f[7, 149])/16 - (129*f[7, 150])/8)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*SPw3f1[v, u] + 
     (-f[7, 34] + f[7, 36] + f[7, 48] + f[7, 51]/2 - 3*f[7, 52] + 
       f[7, 54]/2 - (5*f[7, 56])/4 - f[7, 57]/2 + 6*f[7, 58] + 
       (29*f[7, 59])/6 - (3*f[7, 60])/4 - 2*f[7, 61] - (47*f[7, 62])/48 - 
       (47*f[7, 63])/48 + (47*f[7, 64])/48 + (37*f[7, 65])/4 - 
       (39*f[7, 66])/4 - (59*f[7, 67])/8 - 20*f[7, 68] - (39*f[7, 69])/2 + 
       (35*f[7, 70])/8 - (35*f[7, 71])/8 + 20*f[7, 72] - 18*f[7, 73] - 
       20*f[7, 74] - (37*f[7, 75])/24 + (209*f[7, 76])/8 - (165*f[7, 77])/8 + 
       (39*f[7, 78])/4 - (179*f[7, 79])/24 - (10*f[7, 80])/3 + 
       (49*f[7, 81])/2 + (407*f[7, 82])/6 + (71*f[7, 83])/2 + 
       (203*f[7, 84])/24 - (683*f[7, 85])/24 - (1565*f[7, 86])/24 - 
       (361*f[7, 87])/12 + (211*f[7, 88])/24 - (139*f[7, 89])/48 - 
       (7*f[7, 90])/3 - (355*f[7, 91])/12 - (107*f[7, 92])/4 - 
       (581*f[7, 93])/24 - (199*f[7, 94])/8 - (363*f[7, 95])/8 + 
       (33*f[7, 96])/8 + (587*f[7, 97])/24 + (587*f[7, 98])/24 - 
       (875*f[7, 99])/48 - (745*f[7, 100])/6 - (661*f[7, 101])/48 + 
       (173*f[7, 102])/48 - (53*f[7, 103])/6 + (577*f[7, 104])/48 - 
       (47*f[7, 105])/6 + (695*f[7, 106])/12 - (919*f[7, 107])/12 + 
       (511*f[7, 108])/48 + (17*f[7, 109])/16 + f[7, 110]/16 - 
       (1315*f[7, 111])/48 + (581*f[7, 112])/16 - (65*f[7, 113])/48 + 
       (29*f[7, 114])/12 - (79*f[7, 115])/12 + (329*f[7, 116])/24 - 
       (4565*f[7, 117])/12 - (659*f[7, 118])/48 + (577*f[7, 119])/12 + 
       (401*f[7, 120])/16 - (251*f[7, 121])/16 + (2105*f[7, 122])/48 + 
       (299*f[7, 123])/16 - (279*f[7, 124])/8 - (959*f[7, 125])/48 + 
       (1315*f[7, 126])/48 + f[7, 133]/2 + f[7, 135]/4 + (27*f[7, 136])/4 + 
       (51*f[7, 137])/2 + (349*f[7, 138])/16 - f[7, 145] + (17*f[7, 147])/8 - 
       (37*f[7, 148])/4 - (285*f[7, 149])/8 - (1399*f[7, 150])/48)*
      HPL[{0, 0, 1}, 1 - u]*SPw3f1[v, u] + 
     (-f[7, 56]/4 - f[7, 57]/8 - 8*f[7, 58] + f[7, 59]/6 - (3*f[7, 60])/16 - 
       (5*f[7, 61])/8 + (11*f[7, 62])/3 + (11*f[7, 63])/3 - (11*f[7, 64])/3 + 
       (27*f[7, 65])/8 - (15*f[7, 66])/4 + (17*f[7, 67])/8 - 
       (15*f[7, 68])/2 - (15*f[7, 69])/2 + (15*f[7, 70])/8 - 
       (15*f[7, 71])/8 + (15*f[7, 72])/2 - (15*f[7, 73])/2 - 
       (15*f[7, 74])/2 + (133*f[7, 75])/24 + (147*f[7, 76])/16 - 
       (171*f[7, 77])/16 + (19*f[7, 78])/4 - (109*f[7, 79])/24 + 
       (47*f[7, 80])/24 - (45*f[7, 81])/2 + (203*f[7, 82])/12 + 
       (13*f[7, 83])/2 + (103*f[7, 84])/24 - (239*f[7, 85])/48 - 
       (427*f[7, 86])/24 - (163*f[7, 87])/24 + (107*f[7, 88])/24 - 
       (47*f[7, 89])/12 - (41*f[7, 90])/48 + (577*f[7, 91])/12 - 
       (23*f[7, 92])/2 - (125*f[7, 93])/48 + (123*f[7, 94])/8 - 
       (137*f[7, 95])/8 + (77*f[7, 96])/8 - (11*f[7, 97])/24 - 
       (11*f[7, 98])/24 - (119*f[7, 99])/24 - (973*f[7, 100])/12 - 
       (253*f[7, 101])/24 - (559*f[7, 102])/24 + (31*f[7, 103])/12 - 
       (431*f[7, 104])/24 + (89*f[7, 105])/24 + (251*f[7, 106])/6 - 
       (155*f[7, 107])/3 + (47*f[7, 108])/3 + (47*f[7, 109])/4 + 
       (21*f[7, 110])/16 - (5*f[7, 111])/12 + (37*f[7, 112])/4 + 
       (343*f[7, 113])/24 + (203*f[7, 114])/24 + (667*f[7, 115])/48 + 
       (7*f[7, 116])/24 - (2881*f[7, 117])/12 + (323*f[7, 118])/48 + 
       (1673*f[7, 119])/48 + (25*f[7, 120])/2 - (61*f[7, 121])/4 + 
       (103*f[7, 122])/3 + (15*f[7, 123])/2 - (91*f[7, 124])/4 - 
       (173*f[7, 125])/6 + (355*f[7, 126])/24 + f[7, 135]/2 - f[7, 136] + 
       (87*f[7, 137])/4 + (293*f[7, 138])/16 - 13*f[7, 146] - 
       (31*f[7, 147])/4 - (11*f[7, 148])/8 + (311*f[7, 149])/16 - 
       (511*f[7, 150])/24)*HPL[{0, 0, 1}, 1 - v]*SPw3f1[v, u] + 
     (f[7, 56]/2 - f[7, 57]/4 - 6*f[7, 58] - f[7, 59]/3 + f[7, 60]/8 + 
       (3*f[7, 61])/4 + (8*f[7, 62])/3 + (8*f[7, 63])/3 - (8*f[7, 64])/3 + 
       (19*f[7, 65])/4 - (9*f[7, 66])/2 + (3*f[7, 67])/4 - 9*f[7, 68] - 
       9*f[7, 69] + (7*f[7, 70])/4 - (7*f[7, 71])/4 + 9*f[7, 72] - 
       (19*f[7, 73])/2 - 9*f[7, 74] + (25*f[7, 75])/24 + (95*f[7, 76])/8 - 
       (69*f[7, 77])/8 + (9*f[7, 78])/2 - (151*f[7, 79])/24 + f[7, 80]/3 - 
       (35*f[7, 81])/2 + (80*f[7, 82])/3 + 20*f[7, 83] + (91*f[7, 84])/24 - 
       (107*f[7, 85])/12 - (613*f[7, 86])/24 - (265*f[7, 87])/24 + 
       (83*f[7, 88])/24 - (14*f[7, 89])/3 - (17*f[7, 90])/12 + 
       (197*f[7, 91])/6 - (29*f[7, 92])/2 - (187*f[7, 93])/24 + 
       (33*f[7, 94])/4 - (145*f[7, 95])/8 + (29*f[7, 96])/4 + 
       (53*f[7, 97])/12 + (53*f[7, 98])/12 - (149*f[7, 99])/24 - 
       (229*f[7, 100])/3 - (199*f[7, 101])/24 - (221*f[7, 102])/12 + 
       (47*f[7, 103])/24 - (175*f[7, 104])/12 + (5*f[7, 105])/24 + 
       (127*f[7, 106])/3 - (125*f[7, 107])/3 + (185*f[7, 108])/12 + 
       (53*f[7, 109])/4 - (13*f[7, 110])/8 - (14*f[7, 111])/3 + 
       (19*f[7, 112])/2 + (205*f[7, 113])/24 + (227*f[7, 114])/24 + 
       (239*f[7, 115])/24 - (29*f[7, 116])/24 - (1385*f[7, 117])/6 + 
       (103*f[7, 118])/24 + (98*f[7, 119])/3 + (59*f[7, 120])/4 - 
       (43*f[7, 121])/4 + (295*f[7, 122])/12 + (33*f[7, 123])/4 - 
       (37*f[7, 124])/2 - (58*f[7, 125])/3 + (241*f[7, 126])/24 + 
       f[7, 135]/2 - (25*f[7, 136])/2 + (349*f[7, 137])/4 + 
       (1311*f[7, 138])/16 + 15*f[7, 146] + (5*f[7, 147])/4 + 
       (637*f[7, 148])/8 + (2953*f[7, 149])/16 + (2807*f[7, 150])/24)*
      SPw3f1[u, v]*SPw3f1[v, u] + ((-11*f[7, 19])/24 - (7*f[7, 20])/12 + 
       (2*f[7, 130])/3 - f[7, 131]/3 - f[7, 141]/2 - f[7, 142]/3 - 
       f[7, 143]/6)*HPL[{1}, 1 - u]^3*SPw3f2[u, v] - 
     f[7, 130]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*SPw3f2[u, v] - 
     f[7, 128]*HPL[{1}, 1 - v]^3*SPw3f2[u, v] + 
     (-f[7, 30]/4 - (11*f[7, 65])/2 + (9*f[7, 66])/2 + (9*f[7, 67])/4 + 
       9*f[7, 68] + 9*f[7, 69] - (9*f[7, 70])/4 + (9*f[7, 71])/4 - 
       9*f[7, 72] + 9*f[7, 73] + 9*f[7, 74] + (15*f[7, 75])/16 - 
       13*f[7, 76] + (43*f[7, 77])/4 - 5*f[7, 78] + 4*f[7, 79] + 
       (13*f[7, 80])/8 - (19*f[7, 81])/4 - (119*f[7, 82])/4 - 
       (71*f[7, 83])/4 - 4*f[7, 84] + (191*f[7, 85])/16 + (493*f[7, 86])/16 + 
       (221*f[7, 87])/16 - 4*f[7, 88] + (13*f[7, 89])/8 + (13*f[7, 90])/8 + 
       6*f[7, 91] + (195*f[7, 92])/16 + (165*f[7, 93])/16 + (9*f[7, 94])/2 + 
       (167*f[7, 95])/8 - (7*f[7, 96])/2 - 8*f[7, 97] - 8*f[7, 98] + 
       (143*f[7, 99])/16 + 67*f[7, 100] + (67*f[7, 101])/8 + 
       (75*f[7, 102])/16 + (19*f[7, 103])/8 - f[7, 104]/2 + 4*f[7, 105] - 
       32*f[7, 106] + 41*f[7, 107] - 8*f[7, 108] - (19*f[7, 109])/4 + 
       (21*f[7, 110])/16 + (93*f[7, 111])/8 - (247*f[7, 112])/16 - 
       (3*f[7, 113])/4 - 4*f[7, 114] + f[7, 115]/2 - (39*f[7, 116])/8 + 
       198*f[7, 117] + (9*f[7, 118])/2 - (211*f[7, 119])/8 - 
       (113*f[7, 120])/8 + 8*f[7, 121] - (89*f[7, 122])/4 - 8*f[7, 123] + 
       16*f[7, 124] + (47*f[7, 125])/4 - (103*f[7, 126])/8 - 9*f[7, 137] - 
       (121*f[7, 138])/16 - f[7, 147]/2 + (147*f[7, 148])/16 + 
       (91*f[7, 149])/4 + (177*f[7, 150])/16)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*SPw3f2[u, v] + (f[7, 45] + f[7, 46] + f[7, 48]/2 - 
       f[7, 50] + f[7, 51]/4 - f[7, 53] + f[7, 54]/4 - 2*f[7, 55] + 
       (5*f[7, 56])/16 - f[7, 57]/32 - (11*f[7, 58])/2 - (5*f[7, 59])/24 - 
       (19*f[7, 60])/64 + (3*f[7, 61])/32 + (331*f[7, 62])/96 + 
       (331*f[7, 63])/96 - (331*f[7, 64])/96 + (19*f[7, 65])/32 + 
       (5*f[7, 66])/16 + (117*f[7, 67])/32 + (21*f[7, 68])/8 + 
       (21*f[7, 69])/8 - (21*f[7, 70])/32 + (21*f[7, 71])/32 - 
       (33*f[7, 72])/8 + (25*f[7, 73])/8 + (25*f[7, 74])/8 + 
       (361*f[7, 75])/96 - (397*f[7, 76])/64 + (5*f[7, 77])/64 - 
       (21*f[7, 78])/16 - (49*f[7, 79])/96 + (113*f[7, 80])/96 - 
       (195*f[7, 81])/8 - (697*f[7, 82])/48 + (15*f[7, 83])/8 - 
       (53*f[7, 84])/96 + (1345*f[7, 85])/192 + (1601*f[7, 86])/96 + 
       (905*f[7, 87])/96 - (97*f[7, 88])/96 - (241*f[7, 89])/96 - 
       (233*f[7, 90])/192 + (1327*f[7, 91])/48 + (75*f[7, 92])/16 + 
       (1099*f[7, 93])/192 + (463*f[7, 94])/32 + (219*f[7, 95])/32 + 
       (223*f[7, 96])/32 - (689*f[7, 97])/96 - (689*f[7, 98])/96 + 
       (179*f[7, 99])/48 - (433*f[7, 100])/48 - (8*f[7, 101])/3 - 
       (641*f[7, 102])/48 + (119*f[7, 103])/24 - (673*f[7, 104])/48 + 
       (647*f[7, 105])/96 + (13*f[7, 106])/3 - (241*f[7, 107])/24 + 
       (553*f[7, 108])/96 + (297*f[7, 109])/32 + (143*f[7, 110])/64 + 
       (845*f[7, 111])/96 - (291*f[7, 112])/32 + (305*f[7, 113])/48 + 
       (413*f[7, 114])/96 + (2311*f[7, 115])/192 - (755*f[7, 116])/96 - 
       (1039*f[7, 117])/48 + (1757*f[7, 118])/192 + (1169*f[7, 119])/192 - 
       (43*f[7, 120])/32 - (91*f[7, 121])/32 + (71*f[7, 122])/96 - 
       (39*f[7, 123])/32 - (15*f[7, 124])/8 - (821*f[7, 125])/96 - 
       (16*f[7, 126])/3 + f[7, 135]/4 - (5*f[7, 136])/2 - (21*f[7, 137])/8 - 
       (91*f[7, 138])/32 - (11*f[7, 146])/2 - (27*f[7, 147])/8 + 
       (27*f[7, 148])/16 + (273*f[7, 149])/32 - (401*f[7, 150])/48)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*SPw3f2[u, v] + 
     (-f[7, 135] + (39*f[7, 136])/4 + (483*f[7, 137])/16 + 
       (787*f[7, 138])/32 - (5*f[7, 145])/2 - (43*f[7, 146])/2 - 
       (207*f[7, 147])/16 + (703*f[7, 148])/32 + (4913*f[7, 149])/64 - 
       (1841*f[7, 150])/96)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*SPw3f2[u, v] + 
     (f[7, 22]/4 - f[7, 24] + f[7, 34]/4 - f[7, 43] - f[7, 44] - f[7, 45]/2 - 
       f[7, 46]/2 + f[7, 47]/4 + f[7, 48]/8 - (5*f[7, 49])/8 + f[7, 50] - 
       (7*f[7, 51])/8 + (3*f[7, 52])/4 + f[7, 53]/4 - (13*f[7, 54])/8 + 
       (3*f[7, 55])/4 - (7*f[7, 56])/32 + (39*f[7, 57])/64 + 11*f[7, 58] - 
       (67*f[7, 59])/48 - (11*f[7, 60])/128 + (155*f[7, 61])/64 - 
       (1213*f[7, 62])/192 - (1213*f[7, 63])/192 + (1213*f[7, 64])/192 - 
       (557*f[7, 65])/64 + (337*f[7, 66])/32 - (71*f[7, 67])/64 + 
       (329*f[7, 68])/16 + (329*f[7, 69])/16 - (305*f[7, 70])/64 + 
       (337*f[7, 71])/64 - (329*f[7, 72])/16 + (319*f[7, 73])/16 + 
       (321*f[7, 74])/16 - (28*f[7, 75])/3 - (3473*f[7, 76])/128 + 
       (3365*f[7, 77])/128 - (393*f[7, 78])/32 + (275*f[7, 79])/24 - 
       (217*f[7, 80])/96 + (247*f[7, 81])/8 - (5531*f[7, 82])/96 - 
       (465*f[7, 83])/16 - (1055*f[7, 84])/96 + (7763*f[7, 85])/384 + 
       (5537*f[7, 86])/96 + (2321*f[7, 87])/96 - (1093*f[7, 88])/96 + 
       (1555*f[7, 89])/192 + (1193*f[7, 90])/384 - (6841*f[7, 91])/96 + 
       (1975*f[7, 92])/64 + (5693*f[7, 93])/384 - (289*f[7, 94])/16 + 
       (1545*f[7, 95])/32 - (1261*f[7, 96])/64 - (1789*f[7, 97])/192 - 
       (1693*f[7, 98])/192 + (3059*f[7, 99])/192 + (18763*f[7, 100])/96 + 
       (2339*f[7, 101])/96 + (7447*f[7, 102])/192 - (229*f[7, 103])/96 + 
       (1343*f[7, 104])/48 - (59*f[7, 105])/12 - (595*f[7, 106])/6 + 
       (5851*f[7, 107])/48 - (6589*f[7, 108])/192 - (1437*f[7, 109])/64 + 
       (29*f[7, 110])/128 + (1849*f[7, 111])/192 - (1945*f[7, 112])/64 - 
       (4795*f[7, 113])/192 - (821*f[7, 114])/48 - (8935*f[7, 115])/384 - 
       (253*f[7, 116])/48 + (56257*f[7, 117])/96 - (3677*f[7, 118])/384 - 
       (31535*f[7, 119])/384 - (2053*f[7, 120])/64 + (2183*f[7, 121])/64 - 
       (15059*f[7, 122])/192 - (1465*f[7, 123])/64 + 57*f[7, 124] + 
       (11675*f[7, 125])/192 - (7015*f[7, 126])/192 + f[7, 133]/4 - 
       f[7, 134]/2 - f[7, 135]/8 + (45*f[7, 136])/8 - (329*f[7, 137])/16 - 
       (1443*f[7, 138])/64 + 11*f[7, 146] + (67*f[7, 147])/16 + 
       (863*f[7, 148])/32 + (3473*f[7, 149])/64 + (5603*f[7, 150])/96)*
      HPL[{0, 0, 1}, 1 - u]*SPw3f2[u, v] + 
     (-f[7, 133]/4 + f[7, 134]/2 - (5*f[7, 135])/8 - (13*f[7, 136])/8 + 
       (199*f[7, 137])/16 + (1133*f[7, 138])/64 + (3*f[7, 146])/2 - 
       (11*f[7, 147])/16 + (569*f[7, 148])/32 + (2199*f[7, 149])/64 + 
       (2369*f[7, 150])/96)*HPL[{0, 0, 1}, 1 - v]*SPw3f2[u, v] + 
     (-f[7, 21] + (5*f[7, 30])/8 - f[7, 37]/4 - 2*f[7, 38] - f[7, 45] - 
       f[7, 46] + f[7, 47] + f[7, 48]/2 + f[7, 49]/8 - (13*f[7, 50])/4 + 
       f[7, 51]/8 + (5*f[7, 52])/2 - 4*f[7, 53] - 6*f[7, 55] + f[7, 56]/32 - 
       (259*f[7, 57])/64 - (43*f[7, 58])/4 + (49*f[7, 59])/12 - 
       (121*f[7, 60])/128 + (65*f[7, 61])/64 + (347*f[7, 62])/96 + 
       (347*f[7, 63])/96 - (347*f[7, 64])/96 - (47*f[7, 65])/64 - 
       (93*f[7, 66])/32 + (371*f[7, 67])/64 + (77*f[7, 68])/16 + 
       (75*f[7, 69])/16 - (35*f[7, 70])/64 + (35*f[7, 71])/64 - 
       (123*f[7, 72])/16 + (45*f[7, 73])/16 + (75*f[7, 74])/16 + 
       (133*f[7, 75])/12 - (1475*f[7, 76])/128 + (607*f[7, 77])/128 - 
       (83*f[7, 78])/32 - (467*f[7, 79])/96 - (245*f[7, 80])/96 - 
       (1177*f[7, 81])/16 - (313*f[7, 82])/96 + (423*f[7, 83])/16 + 
       (169*f[7, 84])/48 + (2593*f[7, 85])/384 + (2911*f[7, 86])/96 + 
       (1537*f[7, 87])/96 + (5*f[7, 88])/3 - (37*f[7, 89])/12 - 
       (4409*f[7, 90])/384 + (2383*f[7, 91])/96 - (29*f[7, 92])/64 + 
       (1723*f[7, 93])/384 + (159*f[7, 94])/8 + (167*f[7, 95])/16 + 
       (627*f[7, 96])/64 - (617*f[7, 97])/192 - (617*f[7, 98])/192 + 
       (301*f[7, 99])/48 + (377*f[7, 100])/96 + (95*f[7, 101])/192 - 
       (985*f[7, 102])/48 + (577*f[7, 103])/96 - (4643*f[7, 104])/192 + 
       (23*f[7, 105])/12 + (913*f[7, 106])/24 + (25*f[7, 107])/6 + 
       (475*f[7, 108])/48 + (681*f[7, 109])/32 - (1335*f[7, 110])/128 + 
       (73*f[7, 111])/6 - (129*f[7, 112])/16 + (17*f[7, 113])/24 + 
       (83*f[7, 114])/12 + (11983*f[7, 115])/384 - (449*f[7, 116])/48 - 
       (3007*f[7, 117])/96 + (4763*f[7, 118])/384 + (2159*f[7, 119])/384 + 
       (227*f[7, 120])/32 - (309*f[7, 121])/32 + (56*f[7, 122])/3 + 
       (67*f[7, 123])/16 - (419*f[7, 124])/32 - (1903*f[7, 125])/96 + 
       (35*f[7, 126])/24 + f[7, 135]/4 - (21*f[7, 136])/4 - 
       (107*f[7, 137])/16 - (519*f[7, 138])/64 - 4*f[7, 145] - 
       (39*f[7, 146])/4 - (47*f[7, 147])/8 + (87*f[7, 148])/16 + 
       (379*f[7, 149])/64 - (2609*f[7, 150])/96)*HPL[{0, 1, 1}, 1 - u]*
      SPw3f2[u, v] + (-f[7, 135]/4 + (21*f[7, 136])/4 - (269*f[7, 137])/16 - 
       (569*f[7, 138])/64 - 2*f[7, 145] - (39*f[7, 146])/4 - 
       (43*f[7, 147])/8 - 17*f[7, 148] - (3365*f[7, 149])/64 - 
       (4595*f[7, 150])/96)*HPL[{0, 1, 1}, 1 - v]*SPw3f2[u, v] + 
     (2*f[7, 130] - f[7, 131] + f[7, 142] + (5*f[7, 143])/2)*HPL[{1}, 1 - u]*
      SPw2f1[u, v]*SPw3f2[u, v] + (-2*f[7, 130] - 4*f[7, 131] + f[7, 143])*
      HPL[{1}, 1 - v]*SPw2f1[u, v]*SPw3f2[u, v] + 
     (-f[7, 131]/2 - f[7, 142]/2 - (3*f[7, 143])/2)*SPw3f2[u, v]^2 + 
     (-f[7, 4]/4 + f[7, 12]/6 - f[7, 16]/6 + f[7, 17]/6 + f[7, 19]/16 + 
       f[7, 20]/8 - f[7, 130]/3 - (7*f[7, 131])/6 - (5*f[7, 141])/12 + 
       f[7, 142]/6 - f[7, 143]/3)*HPL[{1}, 1 - u]^3*SPw3f2[v, u] + 
     (2*f[7, 130] + 2*f[7, 131] + (3*f[7, 141])/4 + f[7, 142] - f[7, 143])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*SPw3f2[v, u] + 
     (f[7, 128]/3 - (47*f[7, 130])/9 - (97*f[7, 131])/18 + f[7, 141]/12 + 
       (5*f[7, 142])/18 + (5*f[7, 143])/12)*HPL[{1}, 1 - v]^3*SPw3f2[v, u] + 
     (-f[7, 55]/4 + f[7, 62]/16 + f[7, 63]/16 - f[7, 64]/16 - 
       (33*f[7, 65])/8 + (25*f[7, 66])/8 + (25*f[7, 67])/16 + 7*f[7, 68] + 
       (29*f[7, 69])/4 - (23*f[7, 70])/16 + (23*f[7, 71])/16 - 7*f[7, 72] + 
       7*f[7, 73] + 7*f[7, 74] + f[7, 75]/64 - (81*f[7, 76])/8 + 
       (107*f[7, 77])/16 - (25*f[7, 78])/8 + (217*f[7, 79])/64 + 
       (85*f[7, 80])/64 - (17*f[7, 81])/16 - (353*f[7, 82])/16 - 
       (111*f[7, 83])/8 - (217*f[7, 84])/64 + (551*f[7, 85])/64 + 
       (1491*f[7, 86])/64 + (699*f[7, 87])/64 - (217*f[7, 88])/64 + 
       (3*f[7, 89])/2 + (85*f[7, 90])/64 + (13*f[7, 91])/4 + 
       (631*f[7, 92])/64 + (503*f[7, 93])/64 + (175*f[7, 94])/64 + 
       (1009*f[7, 95])/64 - (35*f[7, 96])/16 - (27*f[7, 97])/4 - 
       (27*f[7, 98])/4 + (431*f[7, 99])/64 + (189*f[7, 100])/4 + 
       (39*f[7, 101])/8 + (237*f[7, 102])/64 + (15*f[7, 103])/8 + 
       (19*f[7, 104])/32 + (225*f[7, 105])/64 - (215*f[7, 106])/8 + 
       (53*f[7, 107])/2 - (211*f[7, 108])/32 - (121*f[7, 109])/32 + 
       (103*f[7, 110])/64 + (131*f[7, 111])/16 - (197*f[7, 112])/16 - 
       (43*f[7, 113])/64 - (209*f[7, 114])/64 - (75*f[7, 115])/64 - 
       (273*f[7, 116])/64 + (297*f[7, 117])/2 + (187*f[7, 118])/64 - 
       (623*f[7, 119])/32 - (355*f[7, 120])/32 + (215*f[7, 121])/32 - 
       (607*f[7, 122])/32 - (215*f[7, 123])/32 + (215*f[7, 124])/16 + 
       10*f[7, 125] - (703*f[7, 126])/64 - (21*f[7, 137])/4 - 
       (39*f[7, 138])/8 + f[7, 147]/8 + (279*f[7, 148])/32 + 
       (161*f[7, 149])/8 + (387*f[7, 150])/32)*HPL[{1}, 1 - u]*
      HPL[{0, 1}, 1 - u]*SPw3f2[v, u] + (-f[7, 78]/2 + f[7, 79]/8 + 
       f[7, 80]/8 - f[7, 82] - (3*f[7, 83])/2 - f[7, 84]/8 + f[7, 85]/4 + 
       f[7, 86]/2 + f[7, 87]/4 - f[7, 88]/8 + f[7, 90]/8 + f[7, 92]/4 + 
       (3*f[7, 93])/4 - f[7, 94]/8 + (3*f[7, 95])/8 + f[7, 99]/4 + 
       f[7, 102]/4 + f[7, 104]/4 + f[7, 105]/8 - f[7, 106] - f[7, 108]/4 - 
       f[7, 109]/4 + f[7, 110]/4 + f[7, 111]/4 - (3*f[7, 112])/8 + 
       f[7, 113]/8 - f[7, 114]/8 - f[7, 115]/8 - f[7, 116]/8 + 2*f[7, 117] - 
       f[7, 118]/8 - f[7, 119]/4 - f[7, 120]/4 + f[7, 121]/4 - 
       (3*f[7, 122])/4 - f[7, 123]/4 + f[7, 124]/2 + f[7, 125]/2 - 
       (3*f[7, 126])/8 - f[7, 138]/8 + f[7, 147]/4 + (3*f[7, 148])/8 - 
       f[7, 149]/2 + (3*f[7, 150])/8)*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
      SPw3f2[v, u] + f[7, 137]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
      SPw3f2[v, u] + (f[7, 132]/10 - f[7, 134]/10 - (4*f[7, 135])/5 + 
       (317*f[7, 136])/40 + (791*f[7, 137])/10 + (20873*f[7, 138])/320 - 
       f[7, 144]/5 - 3*f[7, 145] - (347*f[7, 146])/20 - (269*f[7, 147])/20 + 
       (5707*f[7, 148])/80 + (16451*f[7, 149])/80 + (7083*f[7, 150])/160)*
      HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*SPw3f2[v, u] + 
     (f[7, 25]/2 + f[7, 29]/2 + f[7, 48]/2 + f[7, 51]/2 + (5*f[7, 52])/2 + 
       f[7, 54]/4 + (3*f[7, 56])/16 - (71*f[7, 57])/32 - 9*f[7, 58] + 
       (17*f[7, 59])/24 - (37*f[7, 60])/64 + (5*f[7, 61])/32 + 
       (65*f[7, 62])/24 + (65*f[7, 63])/24 - (65*f[7, 64])/24 + 
       (389*f[7, 65])/32 - (213*f[7, 66])/16 - (77*f[7, 67])/32 - 
       (221*f[7, 68])/8 - (221*f[7, 69])/8 + (221*f[7, 70])/32 - 
       (221*f[7, 71])/32 + (221*f[7, 72])/8 - (229*f[7, 73])/8 - 
       (221*f[7, 74])/8 + (35*f[7, 75])/96 + (2445*f[7, 76])/64 - 
       (1597*f[7, 77])/64 + (221*f[7, 78])/16 - (1511*f[7, 79])/96 - 
       (299*f[7, 80])/96 - (181*f[7, 81])/8 + (4549*f[7, 82])/48 + 
       (491*f[7, 83])/8 + (1205*f[7, 84])/96 - (6553*f[7, 85])/192 - 
       (8405*f[7, 86])/96 - (3845*f[7, 87])/96 + (1153*f[7, 88])/96 - 
       (439*f[7, 89])/48 - (1279*f[7, 90])/192 + (2015*f[7, 91])/48 - 
       (347*f[7, 92])/8 - (5635*f[7, 93])/192 + (217*f[7, 94])/32 - 
       (1891*f[7, 95])/32 + (411*f[7, 96])/32 + (2195*f[7, 97])/96 + 
       (2195*f[7, 98])/96 - (2353*f[7, 99])/96 - (9947*f[7, 100])/48 - 
       (2027*f[7, 101])/96 - (3365*f[7, 102])/96 - (37*f[7, 103])/48 - 
       (2077*f[7, 104])/96 - (929*f[7, 105])/96 + (2791*f[7, 106])/24 - 
       (1345*f[7, 107])/12 + (821*f[7, 108])/24 + (427*f[7, 109])/16 - 
       (773*f[7, 110])/64 - (1219*f[7, 111])/48 + (641*f[7, 112])/16 + 
       (1133*f[7, 113])/96 + (1897*f[7, 114])/96 + (2861*f[7, 115])/192 + 
       (749*f[7, 116])/96 - (30167*f[7, 117])/48 - (179*f[7, 118])/192 + 
       (16135*f[7, 119])/192 + 44*f[7, 120] - (461*f[7, 121])/16 + 
       (445*f[7, 122])/6 + (197*f[7, 123])/8 - (855*f[7, 124])/16 - 
       (140*f[7, 125])/3 + (3569*f[7, 126])/96 + f[7, 135]/4 - 
       (17*f[7, 136])/4 + (221*f[7, 137])/8 + (757*f[7, 138])/32 - 
       9*f[7, 146] - (15*f[7, 147])/8 - (477*f[7, 148])/16 - 
       (2313*f[7, 149])/32 - (535*f[7, 150])/12)*HPL[{0, 0, 1}, 1 - u]*
      SPw3f2[v, u] + (-f[7, 133]/2 + f[7, 134] - 12*f[7, 136] + 
       69*f[7, 137] + (1135*f[7, 138])/16 + 23*f[7, 146] + (11*f[7, 147])/2 + 
       (665*f[7, 148])/8 + (1471*f[7, 149])/8 + (6811*f[7, 150])/48)*
      HPL[{0, 0, 1}, 1 - v]*SPw3f2[v, u] + 
     (-f[7, 46] + f[7, 47]/4 - f[7, 50] + f[7, 52]/2 - f[7, 53] - 
       (3*f[7, 55])/2 - f[7, 56]/16 - (33*f[7, 57])/32 - 4*f[7, 58] + 
       (11*f[7, 59])/24 - (19*f[7, 60])/64 - (5*f[7, 61])/32 + 
       (13*f[7, 62])/12 + (13*f[7, 63])/12 - (13*f[7, 64])/12 - 
       (37*f[7, 65])/32 + (41*f[7, 66])/16 + (121*f[7, 67])/32 + 
       (67*f[7, 68])/8 + (57*f[7, 69])/8 - (65*f[7, 70])/32 + 
       (65*f[7, 71])/32 - (71*f[7, 72])/8 + (59*f[7, 73])/8 + 
       (63*f[7, 74])/8 + (479*f[7, 75])/96 - (761*f[7, 76])/64 + 
       (309*f[7, 77])/64 - (65*f[7, 78])/16 + (91*f[7, 79])/96 + 
       (31*f[7, 80])/96 - (249*f[7, 81])/8 - (1613*f[7, 82])/48 - 
       (57*f[7, 83])/8 - (145*f[7, 84])/96 + (2717*f[7, 85])/192 + 
       (3127*f[7, 86])/96 + (1495*f[7, 87])/96 - (197*f[7, 88])/96 - 
       (13*f[7, 89])/48 - (481*f[7, 90])/192 + (161*f[7, 91])/48 + 
       (45*f[7, 92])/4 + (2423*f[7, 93])/192 + (329*f[7, 94])/32 + 
       (583*f[7, 95])/32 + (89*f[7, 96])/32 - (847*f[7, 97])/96 - 
       (943*f[7, 98])/96 + (839*f[7, 99])/96 + (1543*f[7, 100])/48 + 
       (169*f[7, 101])/96 - (413*f[7, 102])/96 + (97*f[7, 103])/24 - 
       (865*f[7, 104])/96 + (337*f[7, 105])/96 - (251*f[7, 106])/24 + 
       (191*f[7, 107])/12 - (17*f[7, 108])/12 + (75*f[7, 109])/16 + 
       (145*f[7, 110])/64 + (671*f[7, 111])/48 - (111*f[7, 112])/8 + 
       (35*f[7, 113])/96 - (5*f[7, 114])/96 + (2411*f[7, 115])/192 - 
       (601*f[7, 116])/96 + (4399*f[7, 117])/48 + (1159*f[7, 118])/192 - 
       (1715*f[7, 119])/192 - (45*f[7, 120])/8 + (23*f[7, 121])/16 - 
       (173*f[7, 122])/24 - (17*f[7, 123])/4 + (91*f[7, 124])/16 - 
       (19*f[7, 125])/24 - (745*f[7, 126])/96 - 2*f[7, 136] - 
       (81*f[7, 137])/8 - (293*f[7, 138])/32 - 2*f[7, 145] - 4*f[7, 146] - 
       (17*f[7, 147])/4 + (33*f[7, 148])/4 + (673*f[7, 149])/32 - 
       (145*f[7, 150])/48)*HPL[{0, 1, 1}, 1 - u]*SPw3f2[v, u] + 
     (-f[7, 135]/2 + (17*f[7, 136])/2 - (61*f[7, 137])/4 - 
       (25*f[7, 138])/16 - 6*f[7, 145] - (31*f[7, 146])/2 - 
       (33*f[7, 147])/4 - (127*f[7, 148])/8 - (683*f[7, 149])/16 - 
       (1943*f[7, 150])/24)*HPL[{0, 1, 1}, 1 - v]*SPw3f2[v, u] + 
     (f[7, 19]/2 + f[7, 20] - 2*f[7, 130] - 4*f[7, 131] - (3*f[7, 143])/2)*
      HPL[{1}, 1 - u]*SPw2f1[u, v]*SPw3f2[v, u] + 
     (2*f[7, 130] - f[7, 131] + f[7, 142] + (5*f[7, 143])/2)*SPw3f2[u, v]*
      SPw3f2[v, u] + (-f[7, 17] + f[7, 19]/4 + f[7, 20]/2 + f[7, 130] - 
       3*f[7, 131] + f[7, 142] + (7*f[7, 143])/4)*SPw3f2[v, u]^2 + 
     (f[7, 40] + f[7, 50] + f[7, 53] - f[7, 65] + f[7, 66] + f[7, 67]/2 + 
       2*f[7, 68] + 2*f[7, 69] - f[7, 70]/2 + f[7, 71]/2 - 2*f[7, 72] + 
       2*f[7, 73] + 2*f[7, 74] - 3*f[7, 76] + (5*f[7, 77])/2 - f[7, 78] + 
       (5*f[7, 79])/4 + (3*f[7, 80])/4 - 8*f[7, 82] - 7*f[7, 83] - 
       (5*f[7, 84])/4 + 3*f[7, 85] + (15*f[7, 86])/2 + (7*f[7, 87])/2 - 
       (5*f[7, 88])/4 + f[7, 89]/2 + (3*f[7, 90])/4 + 2*f[7, 91] + 
       3*f[7, 92] + (7*f[7, 93])/2 + (3*f[7, 94])/4 + (21*f[7, 95])/4 - 
       f[7, 96] - 3*f[7, 97] - 3*f[7, 98] + (5*f[7, 99])/2 + 16*f[7, 100] + 
       2*f[7, 101] + (3*f[7, 102])/2 + f[7, 103]/2 + f[7, 104]/2 + 
       (5*f[7, 105])/4 - 10*f[7, 106] + 10*f[7, 107] - (5*f[7, 108])/2 - 
       2*f[7, 109] + f[7, 110]/2 + 3*f[7, 111] - (17*f[7, 112])/4 + 
       f[7, 113]/4 - (5*f[7, 114])/4 - (3*f[7, 115])/4 - (5*f[7, 116])/4 + 
       52*f[7, 117] + (3*f[7, 118])/4 - 7*f[7, 119] - 4*f[7, 120] + 
       (5*f[7, 121])/2 - 7*f[7, 122] - (5*f[7, 123])/2 + 5*f[7, 124] + 
       4*f[7, 125] - (15*f[7, 126])/4 - 2*f[7, 137] - (7*f[7, 138])/4 + 
       (9*f[7, 148])/4 + (9*f[7, 149])/2 + (15*f[7, 150])/4)*
      HPL[{1}, 1 - u]^2*SPw4f1[u, v] + (f[7, 40] + f[7, 50] + f[7, 53] - 
       f[7, 65] + f[7, 66] + f[7, 67]/2 + 2*f[7, 68] + 2*f[7, 69] - 
       f[7, 70]/2 + f[7, 71]/2 - 2*f[7, 72] + 2*f[7, 73] + 2*f[7, 74] - 
       3*f[7, 76] + (5*f[7, 77])/2 - f[7, 78] + (5*f[7, 79])/4 + 
       (3*f[7, 80])/4 - 8*f[7, 82] - 7*f[7, 83] - (5*f[7, 84])/4 + 
       3*f[7, 85] + (15*f[7, 86])/2 + (7*f[7, 87])/2 - (5*f[7, 88])/4 + 
       f[7, 89]/2 + (3*f[7, 90])/4 + 2*f[7, 91] + 3*f[7, 92] + 
       (7*f[7, 93])/2 + (3*f[7, 94])/4 + (21*f[7, 95])/4 - f[7, 96] - 
       3*f[7, 97] - 3*f[7, 98] + (5*f[7, 99])/2 + 16*f[7, 100] + 
       2*f[7, 101] + (3*f[7, 102])/2 + f[7, 103]/2 + f[7, 104]/2 + 
       (5*f[7, 105])/4 - 10*f[7, 106] + 10*f[7, 107] - (5*f[7, 108])/2 - 
       2*f[7, 109] + f[7, 110]/2 + 3*f[7, 111] - (17*f[7, 112])/4 + 
       f[7, 113]/4 - (5*f[7, 114])/4 - (3*f[7, 115])/4 - (5*f[7, 116])/4 + 
       52*f[7, 117] + (3*f[7, 118])/4 - 7*f[7, 119] - 4*f[7, 120] + 
       (5*f[7, 121])/2 - 7*f[7, 122] - (5*f[7, 123])/2 + 5*f[7, 124] + 
       4*f[7, 125] - (15*f[7, 126])/4 - 2*f[7, 137] - (7*f[7, 138])/4 + 
       (9*f[7, 148])/4 + (9*f[7, 149])/2 + (15*f[7, 150])/4)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*SPw4f1[u, v] + (-f[7, 25] - f[7, 29] + f[7, 34]/2 - 
       f[7, 45] - f[7, 46] - f[7, 47]/4 + (3*f[7, 48])/4 + f[7, 49]/4 + 
       2*f[7, 50] - (5*f[7, 51])/4 - 3*f[7, 52] + (3*f[7, 53])/2 - 
       (7*f[7, 54])/4 + (7*f[7, 55])/2 - (3*f[7, 56])/4 + (35*f[7, 57])/16 + 
       10*f[7, 58] + (7*f[7, 59])/6 + (9*f[7, 60])/32 + (3*f[7, 61])/16 - 
       (239*f[7, 62])/96 - (239*f[7, 63])/96 + (239*f[7, 64])/96 + 
       (143*f[7, 65])/16 - (107*f[7, 66])/8 - (199*f[7, 67])/16 - 
       (117*f[7, 68])/4 - (115*f[7, 69])/4 + (119*f[7, 70])/16 - 
       (119*f[7, 71])/16 + (127*f[7, 72])/4 - 28*f[7, 73] - 
       (119*f[7, 74])/4 - (881*f[7, 75])/96 + (1485*f[7, 76])/32 - 
       (895*f[7, 77])/32 + (115*f[7, 78])/8 - (643*f[7, 79])/96 - 
       (85*f[7, 80])/96 + (581*f[7, 81])/8 + (1265*f[7, 82])/12 + 
       44*f[7, 83] + (919*f[7, 84])/96 - (1069*f[7, 85])/24 - 
       (10891*f[7, 86])/96 - (5191*f[7, 87])/96 + (1031*f[7, 88])/96 - 
       (37*f[7, 89])/96 + (175*f[7, 90])/48 - (371*f[7, 91])/12 - 
       (1203*f[7, 92])/32 - (1925*f[7, 93])/48 - (915*f[7, 94])/32 - 
       (2233*f[7, 95])/32 - (7*f[7, 96])/4 + (751*f[7, 97])/24 + 
       (775*f[7, 98])/24 - (361*f[7, 99])/12 - (4169*f[7, 100])/24 - 
       (1753*f[7, 101])/96 + (55*f[7, 102])/12 - (319*f[7, 103])/24 + 
       (1999*f[7, 104])/96 - (1393*f[7, 105])/96 + (1763*f[7, 106])/24 - 
       (2269*f[7, 107])/24 + (1033*f[7, 108])/96 - (377*f[7, 109])/32 - 
       (167*f[7, 110])/32 - (4363*f[7, 111])/96 + (1739*f[7, 112])/32 + 
       (55*f[7, 113])/24 + (281*f[7, 114])/96 - (667*f[7, 115])/24 + 
       (2425*f[7, 116])/96 - (5893*f[7, 117])/12 - (1985*f[7, 118])/96 + 
       (5641*f[7, 119])/96 + (1013*f[7, 120])/32 - (449*f[7, 121])/32 + 
       (4871*f[7, 122])/96 + (677*f[7, 123])/32 - (547*f[7, 124])/16 - 
       (1211*f[7, 125])/96 + (491*f[7, 126])/12 + f[7, 133]/2 + f[7, 135]/4 + 
       (21*f[7, 136])/4 + (119*f[7, 137])/4 + (61*f[7, 138])/2 + f[7, 145] + 
       10*f[7, 146] + (67*f[7, 147])/8 - (127*f[7, 148])/4 - 
       (1267*f[7, 149])/16 - (593*f[7, 150])/48)*HPL[{0, 1}, 1 - u]*
      SPw4f1[u, v] + (2*f[7, 40] + 2*f[7, 50] + 2*f[7, 53] - 2*f[7, 65] + 
       2*f[7, 66] + f[7, 67] + 4*f[7, 68] + 4*f[7, 69] - f[7, 70] + 
       f[7, 71] - 4*f[7, 72] + 4*f[7, 73] + 4*f[7, 74] - 6*f[7, 76] + 
       5*f[7, 77] - 2*f[7, 78] + (5*f[7, 79])/2 + (3*f[7, 80])/2 - 
       16*f[7, 82] - 14*f[7, 83] - (5*f[7, 84])/2 + 6*f[7, 85] + 
       15*f[7, 86] + 7*f[7, 87] - (5*f[7, 88])/2 + f[7, 89] + 
       (3*f[7, 90])/2 + 4*f[7, 91] + 6*f[7, 92] + 7*f[7, 93] + 
       (3*f[7, 94])/2 + (21*f[7, 95])/2 - 2*f[7, 96] - 6*f[7, 97] - 
       6*f[7, 98] + 5*f[7, 99] + 32*f[7, 100] + 4*f[7, 101] + 3*f[7, 102] + 
       f[7, 103] + f[7, 104] + (5*f[7, 105])/2 - 20*f[7, 106] + 
       20*f[7, 107] - 5*f[7, 108] - 4*f[7, 109] + f[7, 110] + 6*f[7, 111] - 
       (17*f[7, 112])/2 + f[7, 113]/2 - (5*f[7, 114])/2 - (3*f[7, 115])/2 - 
       (5*f[7, 116])/2 + 104*f[7, 117] + (3*f[7, 118])/2 - 14*f[7, 119] - 
       8*f[7, 120] + 5*f[7, 121] - 14*f[7, 122] - 5*f[7, 123] + 
       10*f[7, 124] + 8*f[7, 125] - (15*f[7, 126])/2 - 4*f[7, 137] - 
       (7*f[7, 138])/2 + (9*f[7, 148])/2 + 9*f[7, 149] + (15*f[7, 150])/2)*
      SPw2f1[u, v]*SPw4f1[u, v] - f[7, 78]*HPL[{0, 1}, 1 - u]*SPw4f1[v, u] - 
     (f[7, 17]*HPL[{1}, 1 - u]^2*SPw4f2[u, v])/2 + f[7, 17]*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*SPw4f2[u, v] + (f[7, 55]/4 - f[7, 62]/16 - 
       f[7, 63]/16 + f[7, 64]/16 + f[7, 65]/8 - f[7, 66]/8 - f[7, 67]/16 - 
       f[7, 68]/4 - f[7, 69]/4 - f[7, 70]/16 + f[7, 71]/16 + f[7, 72]/4 - 
       f[7, 73]/4 - f[7, 74]/4 + (15*f[7, 75])/64 + (5*f[7, 76])/16 - 
       (3*f[7, 77])/16 + (5*f[7, 78])/8 - (17*f[7, 79])/64 - 
       (13*f[7, 80])/64 - (23*f[7, 81])/16 + (21*f[7, 82])/16 + 
       (3*f[7, 83])/8 + (17*f[7, 84])/64 - (23*f[7, 85])/64 - 
       (51*f[7, 86])/64 - (27*f[7, 87])/64 + (17*f[7, 88])/64 - 
       (13*f[7, 90])/64 + (3*f[7, 91])/4 - (59*f[7, 92])/64 - 
       (7*f[7, 93])/64 + (5*f[7, 94])/64 - (41*f[7, 95])/64 - f[7, 96]/16 + 
       (3*f[7, 97])/8 + (3*f[7, 98])/8 - (15*f[7, 99])/64 - f[7, 100] - 
       f[7, 101]/16 - (21*f[7, 102])/64 - (3*f[7, 103])/16 - 
       (9*f[7, 104])/32 - (25*f[7, 105])/64 + (15*f[7, 106])/8 - 
       f[7, 107]/2 + (11*f[7, 108])/32 + (9*f[7, 109])/32 - 
       (23*f[7, 110])/64 - (3*f[7, 111])/16 + (11*f[7, 112])/16 - 
       (13*f[7, 113])/64 + (9*f[7, 114])/64 + (35*f[7, 115])/64 + 
       (25*f[7, 116])/64 - 6*f[7, 117] - (7*f[7, 118])/64 + 
       (21*f[7, 119])/32 + (19*f[7, 120])/32 - (15*f[7, 121])/32 + 
       (47*f[7, 122])/32 + (15*f[7, 123])/32 - (15*f[7, 124])/16 - 
       (3*f[7, 125])/4 + (55*f[7, 126])/64 + f[7, 137]/4 - f[7, 147]/8 - 
       (13*f[7, 148])/32 - (5*f[7, 149])/8 - (29*f[7, 150])/32)*
      HPL[{0, 1}, 1 - u]*SPw4f2[u, v] - 2*f[7, 17]*SPw2f1[u, v]*
      SPw4f2[u, v] + (4*f[7, 38] - 2*f[7, 46] - f[7, 47]/2 + f[7, 50] - 
       f[7, 52] + f[7, 53] + (5*f[7, 55])/2 + f[7, 56]/8 + (33*f[7, 57])/16 + 
       8*f[7, 58] - (11*f[7, 59])/12 + (19*f[7, 60])/32 + (5*f[7, 61])/16 - 
       (29*f[7, 62])/12 - (29*f[7, 63])/12 + (29*f[7, 64])/12 + 
       (65*f[7, 65])/16 - (35*f[7, 66])/8 - (115*f[7, 67])/16 - 
       (29*f[7, 68])/2 - (59*f[7, 69])/4 + (83*f[7, 70])/16 - 
       (83*f[7, 71])/16 + 18*f[7, 72] - 15*f[7, 73] - 16*f[7, 74] - 
       (961*f[7, 75])/96 + (907*f[7, 76])/32 - (593*f[7, 77])/32 + 
       (87*f[7, 78])/8 - (89*f[7, 79])/96 + (223*f[7, 80])/96 + 
       (523*f[7, 81])/8 + (487*f[7, 82])/12 + (5*f[7, 83])/2 + 
       (197*f[7, 84])/96 - (1027*f[7, 85])/48 - (6407*f[7, 86])/96 - 
       (3155*f[7, 87])/96 + (301*f[7, 88])/96 + (19*f[7, 89])/24 + 
       (383*f[7, 90])/48 - (821*f[7, 91])/24 - (461*f[7, 92])/32 - 
       (371*f[7, 93])/24 - (743*f[7, 94])/32 - (1175*f[7, 95])/32 - 
       (53*f[7, 96])/16 + (817*f[7, 97])/48 + (865*f[7, 98])/48 - 
       (1471*f[7, 99])/96 - (2437*f[7, 100])/24 - (323*f[7, 101])/24 + 
       (1159*f[7, 102])/96 - (349*f[7, 103])/48 + (1051*f[7, 104])/48 - 
       (629*f[7, 105])/96 + (73*f[7, 106])/6 - (335*f[7, 107])/6 + 
       (7*f[7, 108])/48 - (275*f[7, 109])/16 + (5*f[7, 110])/2 - 
       (563*f[7, 111])/24 + (105*f[7, 112])/4 + (383*f[7, 113])/96 - 
       (131*f[7, 114])/96 - (1291*f[7, 115])/48 + (1505*f[7, 116])/96 - 
       (5791*f[7, 117])/24 - (743*f[7, 118])/48 + (3191*f[7, 119])/96 + 
       (193*f[7, 120])/16 - (11*f[7, 121])/16 + (563*f[7, 122])/48 + 
       (101*f[7, 123])/16 - 7*f[7, 124] + (101*f[7, 125])/24 + 
       (1583*f[7, 126])/96 + 4*f[7, 136] + (67*f[7, 137])/4 + 
       (75*f[7, 138])/4 + 2*f[7, 145] + 8*f[7, 146] + (31*f[7, 147])/4 - 
       (233*f[7, 148])/16 - (677*f[7, 149])/16 + (455*f[7, 150])/48)*
      HPL[{1}, 1 - u]^2*SPw4f3[u, v] + (-f[7, 137] + f[7, 138]/8 - 
       f[7, 147]/2 - (5*f[7, 148])/4 - 2*f[7, 149] - 3*f[7, 150])*
      HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*SPw4f3[u, v] + 
     (f[7, 135]/2 - (9*f[7, 136])/2 + (153*f[7, 137])/4 + 
       (577*f[7, 138])/16 + 10*f[7, 146] + (5*f[7, 147])/4 + 
       (345*f[7, 148])/8 + (1613*f[7, 149])/16 + (125*f[7, 150])/2)*
      HPL[{0, 1}, 1 - u]*SPw4f3[u, v] + (-f[7, 65]/4 + f[7, 66]/4 + 
       f[7, 67]/8 + f[7, 68]/2 + f[7, 69]/2 - f[7, 70]/8 + f[7, 71]/8 - 
       f[7, 72]/2 + f[7, 73]/2 + f[7, 74]/2 - (9*f[7, 75])/32 - 
       (3*f[7, 76])/4 + (7*f[7, 77])/8 - f[7, 78]/2 + (13*f[7, 79])/32 + 
       (13*f[7, 80])/32 + (13*f[7, 81])/8 - (11*f[7, 82])/8 - 
       (5*f[7, 83])/2 - (13*f[7, 84])/32 + (21*f[7, 85])/32 + 
       (53*f[7, 86])/32 + (21*f[7, 87])/32 - (13*f[7, 88])/32 + 
       (13*f[7, 90])/32 + (5*f[7, 91])/2 + (21*f[7, 92])/32 + 
       (17*f[7, 93])/32 + (11*f[7, 94])/32 + (41*f[7, 95])/32 - f[7, 96]/4 - 
       f[7, 97]/2 - f[7, 98]/2 + (17*f[7, 99])/32 + 4*f[7, 100] + 
       (5*f[7, 101])/8 + (11*f[7, 102])/32 + f[7, 103]/4 + f[7, 104]/16 + 
       (13*f[7, 105])/32 - (13*f[7, 106])/4 + (7*f[7, 107])/2 - 
       (13*f[7, 108])/16 - (11*f[7, 109])/16 + (5*f[7, 110])/32 + 
       (3*f[7, 111])/8 - (17*f[7, 112])/16 + (13*f[7, 113])/32 - 
       (13*f[7, 114])/32 - (23*f[7, 115])/32 - (17*f[7, 116])/32 + 
       (29*f[7, 117])/2 + (11*f[7, 118])/32 - (29*f[7, 119])/16 - 
       (21*f[7, 120])/16 + (13*f[7, 121])/16 - (37*f[7, 122])/16 - 
       (13*f[7, 123])/16 + (13*f[7, 124])/8 + (11*f[7, 125])/8 - 
       (43*f[7, 126])/32 + f[7, 136] + (13*f[7, 137])/2 + 
       (239*f[7, 138])/16 - (11*f[7, 146])/2 - 7*f[7, 147] + 
       (227*f[7, 148])/16 + (193*f[7, 149])/8 + (763*f[7, 150])/24)*
      HPL[{1}, 1 - u]^2*SPw4f3[v, u] + (f[7, 48] - f[7, 54]/2 - f[7, 56]/8 - 
       (35*f[7, 57])/16 - 10*f[7, 58] + (7*f[7, 59])/4 - (25*f[7, 60])/32 + 
       (9*f[7, 61])/16 + (19*f[7, 62])/4 + (19*f[7, 63])/4 - 
       (19*f[7, 64])/4 + (265*f[7, 65])/16 - (153*f[7, 66])/8 - 
       (73*f[7, 67])/16 - (153*f[7, 68])/4 - (153*f[7, 69])/4 + 
       (153*f[7, 70])/16 - (153*f[7, 71])/16 + (153*f[7, 72])/4 - 
       (153*f[7, 73])/4 - (153*f[7, 74])/4 + (21*f[7, 75])/16 + 
       (1713*f[7, 76])/32 - (1249*f[7, 77])/32 + (153*f[7, 78])/8 - 
       (305*f[7, 79])/16 - (21*f[7, 80])/16 - (65*f[7, 81])/4 + 
       (1011*f[7, 82])/8 + (303*f[7, 83])/4 + (275*f[7, 84])/16 - 
       (1503*f[7, 85])/32 - (1955*f[7, 86])/16 - (883*f[7, 87])/16 + 
       (263*f[7, 88])/16 - (89*f[7, 89])/8 - (217*f[7, 90])/32 + 
       (409*f[7, 91])/8 - (225*f[7, 92])/4 - (1285*f[7, 93])/32 + 
       (109*f[7, 94])/16 - (1359*f[7, 95])/16 + (303*f[7, 96])/16 + 
       (501*f[7, 97])/16 + (501*f[7, 98])/16 - (543*f[7, 99])/16 - 
       (2349*f[7, 100])/8 - (517*f[7, 101])/16 - (699*f[7, 102])/16 - 
       (31*f[7, 103])/8 - (387*f[7, 104])/16 - (143*f[7, 105])/16 + 
       (609*f[7, 106])/4 - (335*f[7, 107])/2 + (175*f[7, 108])/4 + 
       (223*f[7, 109])/8 - (345*f[7, 110])/32 - (289*f[7, 111])/8 + 
       (461*f[7, 112])/8 + (331*f[7, 113])/16 + (383*f[7, 114])/16 + 
       (507*f[7, 115])/32 + (219*f[7, 116])/16 - (7041*f[7, 117])/8 - 
       (101*f[7, 118])/32 + (3761*f[7, 119])/32 + (115*f[7, 120])/2 - 
       (321*f[7, 121])/8 + 103*f[7, 122] + (135*f[7, 123])/4 - 
       (591*f[7, 124])/8 - 64*f[7, 125] + (863*f[7, 126])/16 + f[7, 135]/2 - 
       (9*f[7, 136])/2 + (153*f[7, 137])/4 + (577*f[7, 138])/16 - 
       10*f[7, 146] - (5*f[7, 147])/4 - (345*f[7, 148])/8 - 
       (1613*f[7, 149])/16 - (125*f[7, 150])/2)*HPL[{0, 1}, 1 - u]*
      SPw4f3[v, u] + (f[7, 47]/2 - 2*f[7, 50] + f[7, 52] - 2*f[7, 53] - 
       4*f[7, 55] - (3*f[7, 56])/8 - (35*f[7, 57])/16 - 8*f[7, 58] + 
       (13*f[7, 59])/12 - (25*f[7, 60])/32 - (15*f[7, 61])/16 + 
       (31*f[7, 62])/12 + (31*f[7, 63])/12 - (31*f[7, 64])/12 - 
       (143*f[7, 65])/16 + (75*f[7, 66])/8 + (155*f[7, 67])/16 + 
       (103*f[7, 68])/4 + (99*f[7, 69])/4 - (99*f[7, 70])/16 + 
       (99*f[7, 71])/16 - (111*f[7, 72])/4 + (99*f[7, 73])/4 + 
       (103*f[7, 74])/4 + (433*f[7, 75])/48 - (1271*f[7, 76])/32 + 
       (671*f[7, 77])/32 - (83*f[7, 78])/8 + (365*f[7, 79])/48 + 
       (149*f[7, 80])/48 - (227*f[7, 81])/4 - (2275*f[7, 82])/24 - 
       (155*f[7, 83])/4 - (407*f[7, 84])/48 + (3751*f[7, 85])/96 + 
       (4721*f[7, 86])/48 + (2285*f[7, 87])/48 - (451*f[7, 88])/48 + 
       (37*f[7, 89])/24 - (275*f[7, 90])/96 + (523*f[7, 91])/24 + 
       (287*f[7, 92])/8 + (3421*f[7, 93])/96 + (393*f[7, 94])/16 + 
       (937*f[7, 95])/16 + (43*f[7, 96])/16 - (1361*f[7, 97])/48 - 
       (1361*f[7, 98])/48 + (1285*f[7, 99])/48 + (3257*f[7, 100])/24 + 
       (581*f[7, 101])/48 - (187*f[7, 102])/48 + (271*f[7, 103])/24 - 
       (797*f[7, 104])/48 + (671*f[7, 105])/48 - (769*f[7, 106])/12 + 
       (433*f[7, 107])/6 - (155*f[7, 108])/12 + (27*f[7, 109])/8 + 
       (203*f[7, 110])/32 + (919*f[7, 111])/24 - 46*f[7, 112] + 
       (25*f[7, 113])/48 - (259*f[7, 114])/48 + (1921*f[7, 115])/96 - 
       (947*f[7, 116])/48 + (10061*f[7, 117])/24 + (1649*f[7, 118])/96 - 
       (4789*f[7, 119])/96 - (117*f[7, 120])/4 + (103*f[7, 121])/8 - 
       (133*f[7, 122])/3 - (75*f[7, 123])/4 + (253*f[7, 124])/8 + 
       (40*f[7, 125])/3 - (1583*f[7, 126])/48 - 4*f[7, 136] - 
       (107*f[7, 137])/4 - (401*f[7, 138])/16 - 2*f[7, 145] - 8*f[7, 146] - 
       (13*f[7, 147])/2 + (53*f[7, 148])/2 + (1083*f[7, 149])/16 + 
       (241*f[7, 150])/24)*HPL[{0, 1}, 1 - u]*SPw4f4[u, v] + 
     (-f[7, 36] + 9*f[7, 136] - (149*f[7, 137])/4 - (617*f[7, 138])/16 - 
       18*f[7, 146] - (11*f[7, 147])/2 - (373*f[7, 148])/8 - 
       (1577*f[7, 149])/16 - (1861*f[7, 150])/24)*HPL[{0, 1}, 1 - v]*
      SPw4f4[u, v] + (f[7, 45] + f[7, 46] - f[7, 47]/4 - f[7, 48]/4 - 
       f[7, 49]/4 + f[7, 51]/8 - f[7, 52]/2 + f[7, 53]/2 + (3*f[7, 54])/8 + 
       f[7, 55]/2 + (21*f[7, 56])/32 + (67*f[7, 57])/64 + (9*f[7, 58])/4 - 
       (33*f[7, 59])/16 + (25*f[7, 60])/128 + (23*f[7, 61])/64 + 
       (25*f[7, 62])/64 + (25*f[7, 63])/64 - (25*f[7, 64])/64 + 
       (7*f[7, 65])/64 + (57*f[7, 66])/32 - (7*f[7, 67])/64 + 
       (17*f[7, 68])/16 + (25*f[7, 69])/16 - (41*f[7, 70])/64 + 
       (41*f[7, 71])/64 - (25*f[7, 72])/16 + (29*f[7, 73])/16 + 
       (25*f[7, 74])/16 - (127*f[7, 75])/64 - (249*f[7, 76])/128 + 
       (161*f[7, 77])/128 - (25*f[7, 78])/32 + (139*f[7, 79])/64 + 
       (21*f[7, 80])/64 + (245*f[7, 81])/16 - (195*f[7, 82])/32 - 
       (117*f[7, 83])/16 - (101*f[7, 84])/64 + (187*f[7, 85])/128 + 
       (213*f[7, 86])/64 + (117*f[7, 87])/64 - (105*f[7, 88])/64 + 
       (13*f[7, 89])/64 + (317*f[7, 90])/128 - (7*f[7, 91])/32 + 
       (15*f[7, 92])/4 + (145*f[7, 93])/128 - (51*f[7, 94])/64 + 
       (193*f[7, 95])/64 - (29*f[7, 96])/64 - (167*f[7, 97])/64 - 
       (231*f[7, 98])/64 + (5*f[7, 99])/16 + (321*f[7, 100])/32 + 
       (19*f[7, 101])/16 + (27*f[7, 102])/8 + (5*f[7, 103])/16 + 
       (117*f[7, 104])/32 + (163*f[7, 105])/64 - (117*f[7, 106])/8 + 
       (49*f[7, 107])/16 - (121*f[7, 108])/64 - (107*f[7, 109])/64 + 
       (407*f[7, 110])/128 + (7*f[7, 111])/64 - (211*f[7, 112])/64 - 
       (7*f[7, 113])/16 - (39*f[7, 114])/64 - (563*f[7, 115])/128 - 
       (127*f[7, 116])/64 + (1199*f[7, 117])/32 + (103*f[7, 118])/128 - 
       (617*f[7, 119])/128 - (299*f[7, 120])/64 + (209*f[7, 121])/64 - 
       (631*f[7, 122])/64 - (179*f[7, 123])/64 + (89*f[7, 124])/16 + 
       (353*f[7, 125])/64 - (189*f[7, 126])/32 - f[7, 135]/8 + f[7, 136] - 
       (9*f[7, 137])/16 - (59*f[7, 138])/64 + f[7, 145] + (9*f[7, 146])/4 + 
       (17*f[7, 147])/16 + (45*f[7, 148])/32 + (301*f[7, 149])/64 + 
       (219*f[7, 150])/32)*HPL[{1}, 1 - u]^2*SPw4f5[u, v] + 
     (-2*f[7, 45] - 2*f[7, 46] - f[7, 48] + f[7, 49]/2 + 2*f[7, 50] - 
       f[7, 51] + f[7, 53] - (3*f[7, 54])/2 + 3*f[7, 55] - (5*f[7, 56])/8 + 
       f[7, 57]/16 + 8*f[7, 58] - (7*f[7, 59])/6 + (35*f[7, 60])/32 + 
       (13*f[7, 61])/16 - (139*f[7, 62])/24 - (139*f[7, 63])/24 + 
       (139*f[7, 64])/24 - (19*f[7, 65])/16 - (5*f[7, 66])/8 - 
       (101*f[7, 67])/16 - (13*f[7, 68])/4 - (13*f[7, 69])/4 + 
       (21*f[7, 70])/16 - (21*f[7, 71])/16 + (25*f[7, 72])/4 - 
       (15*f[7, 73])/4 - (17*f[7, 74])/4 - (89*f[7, 75])/12 + 
       (305*f[7, 76])/32 + (43*f[7, 77])/32 + (13*f[7, 78])/8 + 
       (5*f[7, 79])/3 - (23*f[7, 80])/24 + (165*f[7, 81])/4 + 
       (491*f[7, 82])/24 - (15*f[7, 83])/4 - f[7, 84]/24 - 
       (971*f[7, 85])/96 - (611*f[7, 86])/24 - (359*f[7, 87])/24 + 
       (13*f[7, 88])/24 + (53*f[7, 89])/12 + (295*f[7, 90])/96 - 
       (1013*f[7, 91])/24 - (87*f[7, 92])/16 - (869*f[7, 93])/96 - 
       21*f[7, 94] - (67*f[7, 95])/8 - (209*f[7, 96])/16 + 
       (427*f[7, 97])/48 + (523*f[7, 98])/48 - (31*f[7, 99])/6 + 
       (545*f[7, 100])/24 + (245*f[7, 101])/48 + (505*f[7, 102])/24 - 
       (91*f[7, 103])/12 + (1069*f[7, 104])/48 - (275*f[7, 105])/24 - 
       (40*f[7, 106])/3 + (74*f[7, 107])/3 - (35*f[7, 108])/3 - 
       (139*f[7, 109])/8 - (127*f[7, 110])/32 - (83*f[7, 111])/6 + 
       (99*f[7, 112])/8 - (235*f[7, 113])/24 - (185*f[7, 114])/24 - 
       (2093*f[7, 115])/96 + (293*f[7, 116])/24 + (1637*f[7, 117])/24 - 
       (1393*f[7, 118])/96 - (1369*f[7, 119])/96 + f[7, 120]/8 + 
       (59*f[7, 121])/8 - (85*f[7, 122])/12 - f[7, 123]/4 + 
       (69*f[7, 124])/8 + (449*f[7, 125])/24 + (155*f[7, 126])/24 - 
       f[7, 135]/2 + (7*f[7, 136])/2 + (13*f[7, 137])/4 + (75*f[7, 138])/16 + 
       8*f[7, 146] + (21*f[7, 147])/4 - (17*f[7, 148])/8 - 
       (177*f[7, 149])/16 + (109*f[7, 150])/6)*HPL[{1}, 1 - u]*
      HPL[{1}, 1 - v]*SPw4f5[u, v] + (f[7, 53]/2 + (5*f[7, 62])/8 + 
       (5*f[7, 63])/8 - (5*f[7, 64])/8 - (5*f[7, 75])/8 + (5*f[7, 79])/8 + 
       (5*f[7, 80])/8 + 5*f[7, 81] - 2*f[7, 82] - 5*f[7, 83] - 
       (5*f[7, 84])/8 + (5*f[7, 85])/8 + (5*f[7, 86])/8 + (5*f[7, 87])/8 - 
       (5*f[7, 88])/8 - (5*f[7, 89])/8 + (5*f[7, 90])/8 + (5*f[7, 91])/2 + 
       (5*f[7, 92])/8 + (15*f[7, 93])/8 - (5*f[7, 94])/8 + (5*f[7, 95])/8 + 
       (5*f[7, 96])/4 - (7*f[7, 97])/4 - (15*f[7, 98])/4 - 5*f[7, 100] - 
       (5*f[7, 101])/8 + (5*f[7, 103])/4 + (5*f[7, 104])/8 + 
       (15*f[7, 105])/8 - (5*f[7, 106])/2 - (5*f[7, 107])/2 + 
       (5*f[7, 108])/8 + (5*f[7, 109])/8 + (5*f[7, 110])/4 + 
       (5*f[7, 111])/8 - (15*f[7, 112])/8 + (5*f[7, 113])/4 + 
       (5*f[7, 114])/8 - (5*f[7, 115])/8 - (15*f[7, 116])/8 - 
       (5*f[7, 117])/2 + (5*f[7, 118])/4 + (5*f[7, 119])/4 - 
       (5*f[7, 120])/8 + (5*f[7, 121])/8 - (25*f[7, 122])/8 - 
       (5*f[7, 123])/8 + (5*f[7, 124])/4 + (5*f[7, 125])/8 - 
       (5*f[7, 126])/2 + (5*f[7, 150])/2)*HPL[{1}, 1 - v]^2*SPw4f5[u, v] + 
     (-f[7, 47]/2 + 2*f[7, 50] - f[7, 52] + 2*f[7, 53] + 4*f[7, 55] - 
       f[7, 56]/8 + (31*f[7, 57])/16 + 4*f[7, 58] - (3*f[7, 59])/4 + 
       (13*f[7, 60])/32 - (5*f[7, 61])/16 - f[7, 62]/2 - f[7, 63]/2 + 
       f[7, 64]/2 + (155*f[7, 65])/16 - (87*f[7, 66])/8 - (135*f[7, 67])/16 - 
       (115*f[7, 68])/4 - (111*f[7, 69])/4 + (111*f[7, 70])/16 - 
       (111*f[7, 71])/16 + (123*f[7, 72])/4 - (111*f[7, 73])/4 - 
       (115*f[7, 74])/4 - (95*f[7, 75])/16 + (1379*f[7, 76])/32 - 
       (811*f[7, 77])/32 + (111*f[7, 78])/8 - (147*f[7, 79])/16 - 
       (19*f[7, 80])/16 + (191*f[7, 81])/4 + (789*f[7, 82])/8 + 
       (143*f[7, 83])/4 + (161*f[7, 84])/16 - (1281*f[7, 85])/32 - 
       (1663*f[7, 86])/16 - (787*f[7, 87])/16 + (181*f[7, 88])/16 - 
       (29*f[7, 89])/8 + (85*f[7, 90])/32 + (43*f[7, 91])/8 - 
       (323*f[7, 92])/8 - (1099*f[7, 93])/32 - (277*f[7, 94])/16 - 
       (1045*f[7, 95])/16 + (49*f[7, 96])/16 + (415*f[7, 97])/16 + 
       (415*f[7, 98])/16 - (455*f[7, 99])/16 - (1423*f[7, 100])/8 - 
       (279*f[7, 101])/16 - (111*f[7, 102])/16 - (69*f[7, 103])/8 + 
       (127*f[7, 104])/16 - (161*f[7, 105])/16 + (323*f[7, 106])/4 - 
       (193*f[7, 107])/2 + 20*f[7, 108] + (11*f[7, 109])/8 - 
       (159*f[7, 110])/32 - (295*f[7, 111])/8 + (195*f[7, 112])/4 + 
       (125*f[7, 113])/16 + (141*f[7, 114])/16 - (439*f[7, 115])/32 + 
       (301*f[7, 116])/16 - (4195*f[7, 117])/8 - (399*f[7, 118])/32 + 
       (2115*f[7, 119])/32 + 34*f[7, 120] - (161*f[7, 121])/8 + 
       (237*f[7, 122])/4 + (45*f[7, 123])/2 - (341*f[7, 124])/8 - 
       (111*f[7, 125])/4 + (621*f[7, 126])/16 + 2*f[7, 136] + 
       (119*f[7, 137])/4 + (469*f[7, 138])/16 + 2*f[7, 145] + 4*f[7, 146] + 
       (9*f[7, 147])/2 - 32*f[7, 148] - (1207*f[7, 149])/16 - 
       (191*f[7, 150])/8)*HPL[{0, 1}, 1 - u]*SPw4f5[u, v] + 
     (f[7, 36] - 2*f[7, 52] - (11*f[7, 56])/8 - (3*f[7, 57])/16 - 
       2*f[7, 58] + (11*f[7, 59])/12 - (25*f[7, 60])/32 - (47*f[7, 61])/16 + 
       (71*f[7, 62])/48 + (71*f[7, 63])/48 - (71*f[7, 64])/48 - 
       (47*f[7, 65])/16 + (11*f[7, 66])/8 + (27*f[7, 67])/16 + 
       (11*f[7, 68])/4 + (11*f[7, 69])/4 - (19*f[7, 70])/16 + 
       (19*f[7, 71])/16 - (11*f[7, 72])/4 + (15*f[7, 73])/4 + 
       (11*f[7, 74])/4 + (91*f[7, 75])/24 - (151*f[7, 76])/32 - 
       (49*f[7, 77])/32 - (11*f[7, 78])/8 + (41*f[7, 79])/24 + 
       (89*f[7, 80])/24 - f[7, 81] - (425*f[7, 82])/24 - (79*f[7, 83])/4 - 
       (13*f[7, 84])/12 + (629*f[7, 85])/96 + (40*f[7, 86])/3 + 
       (22*f[7, 87])/3 - f[7, 88]/6 - (5*f[7, 89])/48 + (95*f[7, 90])/96 + 
       (497*f[7, 91])/24 + (71*f[7, 92])/16 + (695*f[7, 93])/96 + 
       (13*f[7, 94])/4 + (21*f[7, 95])/4 + (65*f[7, 96])/16 - 
       (415*f[7, 97])/48 - (415*f[7, 98])/48 + (185*f[7, 99])/48 - 
       (143*f[7, 100])/24 - (19*f[7, 101])/6 - (59*f[7, 102])/48 + 
       (77*f[7, 103])/24 - (95*f[7, 104])/24 + (209*f[7, 105])/24 - 
       (73*f[7, 106])/6 - (161*f[7, 107])/12 + (23*f[7, 108])/48 - 
       (37*f[7, 109])/16 + (259*f[7, 110])/32 + (433*f[7, 111])/48 - 
       (85*f[7, 112])/16 + (377*f[7, 113])/48 - (43*f[7, 114])/24 + 
       (299*f[7, 115])/96 - (53*f[7, 116])/24 + (127*f[7, 117])/24 + 
       (469*f[7, 118])/96 + (163*f[7, 119])/96 - (77*f[7, 120])/16 - 
       (53*f[7, 121])/16 + (73*f[7, 122])/48 + (7*f[7, 123])/16 - 
       (17*f[7, 124])/4 - (433*f[7, 125])/48 - (61*f[7, 126])/48 - 
       f[7, 136]/2 - (11*f[7, 137])/4 + (13*f[7, 138])/16 - 2*f[7, 146] - 
       (3*f[7, 147])/2 + (3*f[7, 148])/8 + (107*f[7, 149])/16 - 
       (157*f[7, 150])/24)*HPL[{0, 1}, 1 - v]*SPw4f5[u, v] + 
     (f[7, 79]/4 + f[7, 80]/4 - 2*f[7, 82] - 3*f[7, 83] - f[7, 84]/4 + 
       f[7, 85]/2 + f[7, 86] + f[7, 87]/2 - f[7, 88]/4 + f[7, 90]/4 + 
       f[7, 92]/2 + (3*f[7, 93])/2 - f[7, 94]/4 + (3*f[7, 95])/4 + 
       f[7, 99]/2 + f[7, 102]/2 + f[7, 104]/2 + f[7, 105]/4 - 2*f[7, 106] - 
       f[7, 108]/2 - f[7, 109]/2 + f[7, 110]/2 + f[7, 111]/2 - 
       (3*f[7, 112])/4 + f[7, 113]/4 - f[7, 114]/4 - f[7, 115]/4 - 
       f[7, 116]/4 + 4*f[7, 117] - f[7, 118]/4 - f[7, 119]/2 - f[7, 120]/2 + 
       f[7, 121]/2 - (3*f[7, 122])/2 - f[7, 123]/2 + f[7, 124] + f[7, 125] - 
       (3*f[7, 126])/4 - f[7, 138]/4 + f[7, 147]/2 + (3*f[7, 148])/4 - 
       f[7, 149] + (3*f[7, 150])/4)*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
      SPw4f5[v, u] + ((-3*f[7, 53])/2 - f[7, 62]/2 - f[7, 63]/2 + 
       f[7, 64]/2 + f[7, 75]/2 - f[7, 79]/2 - f[7, 80]/2 - 4*f[7, 81] + 
       (7*f[7, 82])/4 + 4*f[7, 83] + f[7, 84]/2 - f[7, 85]/2 - f[7, 86]/2 - 
       f[7, 87]/2 + f[7, 88]/2 + f[7, 89]/2 - f[7, 90]/2 - 2*f[7, 91] - 
       f[7, 92]/2 - (3*f[7, 93])/2 + f[7, 94]/2 - f[7, 95]/2 - f[7, 96] + 
       2*f[7, 97] + 3*f[7, 98] + 4*f[7, 100] + f[7, 101]/2 - f[7, 103] - 
       f[7, 104]/2 - (3*f[7, 105])/2 + 2*f[7, 106] + 2*f[7, 107] - 
       f[7, 108]/2 - f[7, 109]/2 - f[7, 110] - f[7, 111]/2 + 
       (3*f[7, 112])/2 - f[7, 113] - f[7, 114]/2 + f[7, 115]/2 + 
       (3*f[7, 116])/2 + 2*f[7, 117] - f[7, 118] - f[7, 119] + f[7, 120]/2 - 
       f[7, 121]/2 + (5*f[7, 122])/2 + f[7, 123]/2 - f[7, 124] - 
       f[7, 125]/2 + 2*f[7, 126] - 2*f[7, 150])*HPL[{1}, 1 - v]^2*
      SPw4f5[v, u] + (f[7, 25] + f[7, 29] + f[7, 51] + 4*f[7, 52] + 
       f[7, 54] + (3*f[7, 56])/4 - (17*f[7, 57])/8 - 10*f[7, 58] - 
       f[7, 59]/2 - (3*f[7, 60])/16 + (3*f[7, 61])/8 + (15*f[7, 62])/8 + 
       (15*f[7, 63])/8 - (15*f[7, 64])/8 + (75*f[7, 65])/8 - 
       (35*f[7, 66])/4 + f[7, 67]/8 - (39*f[7, 68])/2 - (39*f[7, 69])/2 + 
       (39*f[7, 70])/8 - (39*f[7, 71])/8 + (39*f[7, 72])/2 - 
       (43*f[7, 73])/2 - (39*f[7, 74])/2 + (7*f[7, 75])/8 + 
       (419*f[7, 76])/16 - (227*f[7, 77])/16 + (39*f[7, 78])/4 - 
       (109*f[7, 79])/8 - (31*f[7, 80])/8 - (69*f[7, 81])/2 + 
       (277*f[7, 82])/4 + (97*f[7, 83])/2 + (75*f[7, 84])/8 - 
       (373*f[7, 85])/16 - (477*f[7, 86])/8 - (221*f[7, 87])/8 + 
       (71*f[7, 88])/8 - (65*f[7, 89])/8 - (103*f[7, 90])/16 + 
       (177*f[7, 91])/4 - (137*f[7, 92])/4 - (319*f[7, 93])/16 + 
       (81*f[7, 94])/8 - (315*f[7, 95])/8 + (75*f[7, 96])/8 + 
       (121*f[7, 97])/8 + (121*f[7, 98])/8 - 17*f[7, 99] - 
       (571*f[7, 100])/4 - (51*f[7, 101])/4 - 32*f[7, 102] + 2*f[7, 103] - 
       23*f[7, 104] - (73*f[7, 105])/8 + 92*f[7, 106] - (141*f[7, 107])/2 + 
       (229*f[7, 108])/8 + (219*f[7, 109])/8 - (205*f[7, 110])/16 - 
       (123*f[7, 111])/8 + (209*f[7, 112])/8 + (31*f[7, 113])/4 + 
       (141*f[7, 114])/8 + (281*f[7, 115])/16 + (21*f[7, 116])/8 - 
       (1793*f[7, 117])/4 + (39*f[7, 118])/16 + (971*f[7, 119])/16 + 
       (275*f[7, 120])/8 - (177*f[7, 121])/8 + (447*f[7, 122])/8 + 
       (143*f[7, 123])/8 - 40*f[7, 124] - (301*f[7, 125])/8 + 
       (51*f[7, 126])/2 - (7*f[7, 136])/2 + 14*f[7, 137] + 10*f[7, 138] - 
       13*f[7, 146] - (9*f[7, 147])/2 - (217*f[7, 148])/8 - 64*f[7, 149] - 
       (139*f[7, 150])/3)*HPL[{0, 1}, 1 - u]*SPw4f5[v, u] + 
     (f[7, 135]/2 - f[7, 136] + (75*f[7, 137])/4 + (265*f[7, 138])/16 + 
       3*f[7, 146] + f[7, 147]/4 + (161*f[7, 148])/8 + (799*f[7, 149])/16 + 
       (733*f[7, 150])/24)*SPw2f1[u, v]*SPw4f5[v, u] - 
     (f[7, 4]*HPL[{1}, 1 - u]^2*SPw4f6[u, v])/2 - 
     (f[7, 78]*HPL[{0, 1}, 1 - u]*SPw4f6[u, v])/2 + 
     (f[7, 65]/2 - f[7, 66]/2 - f[7, 67]/4 - f[7, 68] - f[7, 69] + 
       f[7, 70]/4 - f[7, 71]/4 + f[7, 72] - f[7, 73] - f[7, 74] + 
       (5*f[7, 76])/4 - (3*f[7, 77])/4 + f[7, 78]/2 - f[7, 79]/2 - 
       f[7, 80]/4 + 4*f[7, 82] + 3*f[7, 83] + f[7, 84]/2 - (3*f[7, 85])/2 - 
       (13*f[7, 86])/4 - (3*f[7, 87])/2 + f[7, 88]/2 - f[7, 89]/4 - 
       f[7, 90]/4 - (3*f[7, 92])/2 - (3*f[7, 93])/2 - f[7, 94]/4 - 
       (9*f[7, 95])/4 + f[7, 96]/4 + f[7, 97] + f[7, 98] - f[7, 99] - 
       6*f[7, 100] - f[7, 101]/2 - (3*f[7, 102])/4 - f[7, 103]/4 - 
       f[7, 104]/4 - f[7, 105]/2 + 4*f[7, 106] - 4*f[7, 107] + f[7, 108] + 
       (3*f[7, 109])/4 - f[7, 110]/2 - (5*f[7, 111])/4 + (7*f[7, 112])/4 + 
       f[7, 114]/2 + f[7, 115]/4 + f[7, 116]/2 - 20*f[7, 117] - f[7, 118]/4 + 
       (5*f[7, 119])/2 + (3*f[7, 120])/2 - f[7, 121] + (11*f[7, 122])/4 + 
       f[7, 123] - 2*f[7, 124] - (3*f[7, 125])/2 + (3*f[7, 126])/2 + 
       f[7, 137] + (3*f[7, 138])/4 - f[7, 148] - (5*f[7, 149])/2 - 
       (3*f[7, 150])/2)*HPL[{1}, 1 - u]^2*SPw4f7[u, v] + 
     (f[7, 56]/8 + f[7, 57]/16 + 5*f[7, 58] - f[7, 59]/12 + (3*f[7, 60])/32 + 
       (5*f[7, 61])/16 - (121*f[7, 62])/48 - (121*f[7, 63])/48 + 
       (121*f[7, 64])/48 - (35*f[7, 65])/16 + (19*f[7, 66])/8 - 
       (21*f[7, 67])/16 + (19*f[7, 68])/4 + (19*f[7, 69])/4 - 
       (19*f[7, 70])/16 + (19*f[7, 71])/16 - (19*f[7, 72])/4 + 
       (19*f[7, 73])/4 + (19*f[7, 74])/4 - (133*f[7, 75])/48 - 
       (187*f[7, 76])/32 + (179*f[7, 77])/32 - (19*f[7, 78])/8 + 
       (115*f[7, 79])/48 - (107*f[7, 80])/48 + (53*f[7, 81])/4 - 
       (239*f[7, 82])/24 - (17*f[7, 83])/4 - (109*f[7, 84])/48 + 
       (287*f[7, 85])/96 + (535*f[7, 86])/48 + (199*f[7, 87])/48 - 
       (113*f[7, 88])/48 + (139*f[7, 89])/48 + (29*f[7, 90])/96 - 
       (739*f[7, 91])/24 + (51*f[7, 92])/8 + (173*f[7, 93])/96 - 
       (157*f[7, 94])/16 + (163*f[7, 95])/16 - (103*f[7, 96])/16 + 
       (29*f[7, 97])/48 + (29*f[7, 98])/48 + (41*f[7, 99])/12 + 
       (1249*f[7, 100])/24 + (155*f[7, 101])/24 + (175*f[7, 102])/12 - 
       (35*f[7, 103])/12 + (137*f[7, 104])/12 - (173*f[7, 105])/48 - 
       (71*f[7, 106])/3 + (367*f[7, 107])/12 - (463*f[7, 108])/48 - 
       (111*f[7, 109])/16 - (19*f[7, 110])/32 - (11*f[7, 111])/48 - 
       (73*f[7, 112])/16 - (245*f[7, 113])/24 - (251*f[7, 114])/48 - 
       (739*f[7, 115])/96 + (53*f[7, 116])/48 + (3475*f[7, 117])/24 - 
       (485*f[7, 118])/96 - (2081*f[7, 119])/96 - (123*f[7, 120])/16 + 
       (145*f[7, 121])/16 - (917*f[7, 122])/48 - (75*f[7, 123])/16 + 
       (55*f[7, 124])/4 + (839*f[7, 125])/48 - (91*f[7, 126])/12 - 
       f[7, 136] + 4*f[7, 137] + (31*f[7, 138])/8 + 12*f[7, 146] + 
       (11*f[7, 147])/2 + (167*f[7, 148])/8 + (279*f[7, 149])/8 + 
       (985*f[7, 150])/24)*HPL[{0, 1}, 1 - u]*SPw4f7[u, v] + 
     f[7, 129]*HPL[{0, 1}, 1 - v]*SPw4f7[u, v] + 
     (-f[7, 47]/2 + 2*f[7, 50] - f[7, 52] + 2*f[7, 53] + 4*f[7, 55] + 
       f[7, 56]/8 + (33*f[7, 57])/16 + 8*f[7, 58] - (11*f[7, 59])/12 + 
       (19*f[7, 60])/32 + (5*f[7, 61])/16 - (29*f[7, 62])/12 - 
       (29*f[7, 63])/12 + (29*f[7, 64])/12 + (133*f[7, 65])/16 - 
       (73*f[7, 66])/8 - (153*f[7, 67])/16 - (101*f[7, 68])/4 - 
       (97*f[7, 69])/4 + (97*f[7, 70])/16 - (97*f[7, 71])/16 + 
       (109*f[7, 72])/4 - (97*f[7, 73])/4 - (101*f[7, 74])/4 - 
       (407*f[7, 75])/48 + (1245*f[7, 76])/32 - (677*f[7, 77])/32 + 
       (97*f[7, 78])/8 - (343*f[7, 79])/48 - (127*f[7, 80])/48 + 
       (233*f[7, 81])/4 + (2201*f[7, 82])/24 + (141*f[7, 83])/4 + 
       (397*f[7, 84])/48 - (3653*f[7, 85])/96 - (4615*f[7, 86])/48 - 
       (2227*f[7, 87])/48 + (449*f[7, 88])/48 - (35*f[7, 89])/24 + 
       (289*f[7, 90])/96 - (473*f[7, 91])/24 - (279*f[7, 92])/8 - 
       (3287*f[7, 93])/96 - (387*f[7, 94])/16 - (923*f[7, 95])/16 - 
       (33*f[7, 96])/16 + (1291*f[7, 97])/48 + (1291*f[7, 98])/48 - 
       (1259*f[7, 99])/48 - (3331*f[7, 100])/24 - (607*f[7, 101])/48 + 
       (197*f[7, 102])/48 - (257*f[7, 103])/24 + (799*f[7, 104])/48 - 
       (613*f[7, 105])/48 + (743*f[7, 106])/12 - (443*f[7, 107])/6 + 
       (151*f[7, 108])/12 - (33*f[7, 109])/8 - (177*f[7, 110])/32 - 
       (893*f[7, 111])/24 + (181*f[7, 112])/4 + (13*f[7, 113])/48 + 
       (233*f[7, 114])/48 - (1931*f[7, 115])/96 + (937*f[7, 116])/48 - 
       (9967*f[7, 117])/24 - (1579*f[7, 118])/96 + (4775*f[7, 119])/96 + 
       (113*f[7, 120])/4 - (105*f[7, 121])/8 + (265*f[7, 122])/6 + 
       (75*f[7, 123])/4 - (255*f[7, 124])/8 - (85*f[7, 125])/6 + 
       (1573*f[7, 126])/48 + 4*f[7, 136] + (105*f[7, 137])/4 + 
       (399*f[7, 138])/16 + 2*f[7, 145] + 8*f[7, 146] + (13*f[7, 147])/2 - 
       (105*f[7, 148])/4 - (1065*f[7, 149])/16 - (257*f[7, 150])/24)*
      HPL[{1}, 1 - u]*SPw5f10[u, v] + (-f[7, 65] + f[7, 66] + f[7, 67]/2 + 
       2*f[7, 68] + 2*f[7, 69] - f[7, 70]/2 + f[7, 71]/2 - 2*f[7, 72] + 
       2*f[7, 73] + 2*f[7, 74] - f[7, 75]/2 - 3*f[7, 76] + (5*f[7, 77])/2 - 
       f[7, 78] + (5*f[7, 79])/4 + (3*f[7, 80])/4 + 2*f[7, 81] - 6*f[7, 82] - 
       5*f[7, 83] - (5*f[7, 84])/4 + (5*f[7, 85])/2 + 6*f[7, 86] + 
       3*f[7, 87] - (5*f[7, 88])/4 + f[7, 89]/2 + (3*f[7, 90])/4 + 
       2*f[7, 91] + (5*f[7, 92])/2 + 2*f[7, 93] + (3*f[7, 94])/4 + 
       (17*f[7, 95])/4 - f[7, 96] - 3*f[7, 97] - 3*f[7, 98] + 2*f[7, 99] + 
       16*f[7, 100] + 2*f[7, 101] + f[7, 102] + f[7, 103]/2 + f[7, 104]/2 + 
       (5*f[7, 105])/4 - 10*f[7, 106] + 10*f[7, 107] - (5*f[7, 108])/2 - 
       2*f[7, 109] + 2*f[7, 111] - (15*f[7, 112])/4 + f[7, 113]/4 - 
       (5*f[7, 114])/4 - (7*f[7, 115])/4 - (5*f[7, 116])/4 + 52*f[7, 117] + 
       (3*f[7, 118])/4 - 7*f[7, 119] - 4*f[7, 120] + (5*f[7, 121])/2 - 
       7*f[7, 122] - (5*f[7, 123])/2 + 5*f[7, 124] + 4*f[7, 125] - 
       (15*f[7, 126])/4 - 2*f[7, 137] - (5*f[7, 138])/4 - f[7, 147]/2 + 
       (5*f[7, 148])/4 + 6*f[7, 149] + (17*f[7, 150])/4)*HPL[{1}, 1 - u]*
      SPw5f10[v, u] + (-f[7, 135]/2 + (5*f[7, 136])/2 - (21*f[7, 137])/2 - 
       (81*f[7, 138])/8 - 2*f[7, 145] - 6*f[7, 146] - (9*f[7, 147])/4 - 
       (103*f[7, 148])/8 - (275*f[7, 149])/8 - (695*f[7, 150])/24)*
      HPL[{1}, 1 - v]*SPw5f11[v, u] + (f[7, 79]/4 + f[7, 80]/4 - 2*f[7, 82] - 
       3*f[7, 83] - f[7, 84]/4 + f[7, 85]/2 + f[7, 86] + f[7, 87]/2 - 
       f[7, 88]/4 + f[7, 90]/4 + f[7, 92]/2 + (3*f[7, 93])/2 - f[7, 94]/4 + 
       (3*f[7, 95])/4 + f[7, 99]/2 + f[7, 102]/2 + f[7, 104]/2 + 
       f[7, 105]/4 - 2*f[7, 106] - f[7, 108]/2 - f[7, 109]/2 + f[7, 110]/2 + 
       f[7, 111]/2 - (3*f[7, 112])/4 + f[7, 113]/4 - f[7, 114]/4 - 
       f[7, 115]/4 - f[7, 116]/4 + 4*f[7, 117] - f[7, 118]/4 - f[7, 119]/2 - 
       f[7, 120]/2 + f[7, 121]/2 - (3*f[7, 122])/2 - f[7, 123]/2 + 
       f[7, 124] + f[7, 125] - (3*f[7, 126])/4 - f[7, 138]/4 + f[7, 147]/2 + 
       (3*f[7, 148])/4 - f[7, 149] + (3*f[7, 150])/4)*HPL[{1}, 1 - v]*
      SPw5f15[v, u] + (-f[7, 138]/4 - f[7, 149]/2)*HPL[{1}, 1 - v]*
      SPw5f16[v, u] + f[7, 4]*HPL[{1}, 1 - u]*SPw5f2[u, v] + 
     (-f[7, 131] - f[7, 142] - (5*f[7, 143])/2)*HPL[{1}, 1 - v]*
      SPw5f2[u, v] + f[7, 141]*HPL[{1}, 1 - u]*SPw5f3[u, v] + 
     (-f[7, 131] - f[7, 142])*HPL[{1}, 1 - u]*SPw5f3[v, u] - 
     f[7, 149]*HPL[{1}, 1 - u]*SPw5f4[u, v] + 
     (f[7, 25] + f[7, 29] + f[7, 51] + 4*f[7, 52] + f[7, 54] + 
       (3*f[7, 56])/4 - (17*f[7, 57])/8 - 10*f[7, 58] - f[7, 59]/2 - 
       (3*f[7, 60])/16 + (3*f[7, 61])/8 + (15*f[7, 62])/8 + (15*f[7, 63])/8 - 
       (15*f[7, 64])/8 + (75*f[7, 65])/8 - (35*f[7, 66])/4 + f[7, 67]/8 - 
       (39*f[7, 68])/2 - (39*f[7, 69])/2 + (39*f[7, 70])/8 - 
       (39*f[7, 71])/8 + (39*f[7, 72])/2 - (43*f[7, 73])/2 - 
       (39*f[7, 74])/2 + (7*f[7, 75])/8 + (419*f[7, 76])/16 - 
       (227*f[7, 77])/16 + (39*f[7, 78])/4 - (109*f[7, 79])/8 - 
       (31*f[7, 80])/8 - (69*f[7, 81])/2 + (277*f[7, 82])/4 + 
       (97*f[7, 83])/2 + (75*f[7, 84])/8 - (373*f[7, 85])/16 - 
       (477*f[7, 86])/8 - (221*f[7, 87])/8 + (71*f[7, 88])/8 - 
       (65*f[7, 89])/8 - (103*f[7, 90])/16 + (177*f[7, 91])/4 - 
       (137*f[7, 92])/4 - (319*f[7, 93])/16 + (81*f[7, 94])/8 - 
       (315*f[7, 95])/8 + (75*f[7, 96])/8 + (121*f[7, 97])/8 + 
       (121*f[7, 98])/8 - 17*f[7, 99] - (571*f[7, 100])/4 - 
       (51*f[7, 101])/4 - 32*f[7, 102] + 2*f[7, 103] - 23*f[7, 104] - 
       (73*f[7, 105])/8 + 92*f[7, 106] - (141*f[7, 107])/2 + 
       (229*f[7, 108])/8 + (219*f[7, 109])/8 - (205*f[7, 110])/16 - 
       (123*f[7, 111])/8 + (209*f[7, 112])/8 + (31*f[7, 113])/4 + 
       (141*f[7, 114])/8 + (281*f[7, 115])/16 + (21*f[7, 116])/8 - 
       (1793*f[7, 117])/4 + (39*f[7, 118])/16 + (971*f[7, 119])/16 + 
       (275*f[7, 120])/8 - (177*f[7, 121])/8 + (447*f[7, 122])/8 + 
       (143*f[7, 123])/8 - 40*f[7, 124] - (301*f[7, 125])/8 + 
       (51*f[7, 126])/2 - 5*f[7, 136] + (39*f[7, 137])/2 + 
       (119*f[7, 138])/8 - 10*f[7, 146] - (7*f[7, 147])/2 - 
       (41*f[7, 148])/2 - (399*f[7, 149])/8 - 35*f[7, 150])*HPL[{1}, 1 - u]*
      SPw5f5[u, v] + (-f[7, 79]/4 - f[7, 80]/4 + 2*f[7, 82] + 3*f[7, 83] + 
       f[7, 84]/4 - f[7, 85]/2 - f[7, 86] - f[7, 87]/2 + f[7, 88]/4 - 
       f[7, 90]/4 - f[7, 92]/2 - (3*f[7, 93])/2 + f[7, 94]/4 - 
       (3*f[7, 95])/4 - f[7, 99]/2 - f[7, 102]/2 - f[7, 104]/2 - 
       f[7, 105]/4 + 2*f[7, 106] + f[7, 108]/2 + f[7, 109]/2 - f[7, 110]/2 - 
       f[7, 111]/2 + (3*f[7, 112])/4 - f[7, 113]/4 + f[7, 114]/4 + 
       f[7, 115]/4 + f[7, 116]/4 - 4*f[7, 117] + f[7, 118]/4 + f[7, 119]/2 + 
       f[7, 120]/2 - f[7, 121]/2 + (3*f[7, 122])/2 + f[7, 123]/2 - 
       f[7, 124] - f[7, 125] + (3*f[7, 126])/4 + f[7, 138]/4 - f[7, 147]/2 - 
       (3*f[7, 148])/4 + f[7, 149] - (3*f[7, 150])/4)*HPL[{1}, 1 - v]*
      SPw5f5[u, v] + (2*f[7, 136] - (3*f[7, 137])/2 - (23*f[7, 138])/8 - 
       4*f[7, 146] - 2*f[7, 147] - (15*f[7, 148])/4 - (31*f[7, 149])/8 - 
       (61*f[7, 150])/6)*HPL[{1}, 1 - u]*SPw5f5[v, u] + 
     (f[7, 65] - f[7, 66] - f[7, 67]/2 - 2*f[7, 68] - 2*f[7, 69] + 
       f[7, 70]/2 - f[7, 71]/2 + 2*f[7, 72] - 2*f[7, 73] - 2*f[7, 74] + 
       (5*f[7, 76])/2 - (3*f[7, 77])/2 + f[7, 78] - (3*f[7, 79])/4 - 
       f[7, 80]/4 + 6*f[7, 82] + 3*f[7, 83] + (3*f[7, 84])/4 - 
       (5*f[7, 85])/2 - (11*f[7, 86])/2 - (5*f[7, 87])/2 + (3*f[7, 88])/4 - 
       f[7, 89]/2 - f[7, 90]/4 - (5*f[7, 92])/2 - (3*f[7, 93])/2 - 
       (3*f[7, 94])/4 - (15*f[7, 95])/4 + f[7, 96]/2 + 2*f[7, 97] + 
       2*f[7, 98] - (3*f[7, 99])/2 - 12*f[7, 100] - f[7, 101] - f[7, 102] - 
       f[7, 103]/2 - (3*f[7, 105])/4 + 6*f[7, 106] - 6*f[7, 107] + 
       (3*f[7, 108])/2 + f[7, 109] - f[7, 110]/2 - 2*f[7, 111] + 
       (11*f[7, 112])/4 + f[7, 113]/4 + (3*f[7, 114])/4 + f[7, 115]/4 + 
       (3*f[7, 116])/4 - 36*f[7, 117] - (3*f[7, 118])/4 + (9*f[7, 119])/2 + 
       (5*f[7, 120])/2 - (3*f[7, 121])/2 + 4*f[7, 122] + (3*f[7, 123])/2 - 
       3*f[7, 124] - 2*f[7, 125] + (9*f[7, 126])/4 + 2*f[7, 137] + 
       (5*f[7, 138])/4 + f[7, 147]/2 - (5*f[7, 148])/4 - 5*f[7, 149] - 
       (9*f[7, 150])/4)*HPL[{1}, 1 - u]*SPw5f9[u, v] - 
     f[7, 149]*SPw6f12[v, u] + f[7, 78]*SPw6f15[v, u] + 
     f[7, 4]*SPw6f4[u, v] - (f[7, 78]*SPw6f47[u, v])/4 + 
     f[7, 132]*SPw6f5[u, v] - f[7, 149]*SPw6f51[u, v] + f[7, 141]*SPw6f8[u, v]
