(****************************************************************)
(*                                                              *)
(*  This file contains expressions for the functions E, Et,     *)
(*  and R6 through four loops. The conversions to V, Vt,        *)
(*  and U are also provided at the end of the file.             *)
(*                                                              *)
(****************************************************************)


E4 = (491*F1[u, v, w]^2)/128 + (141107*F1[u, v, w]*F1[v, w, u])/24576 + 
     (26887*F1[v, w, u]^2)/6144 + (3689*F1[u, v, w]*F1[w, u, v])/768 + 
     (141107*F1[v, w, u]*F1[w, u, v])/24576 + (491*F1[w, u, v]^2)/128 - 
     (3*D1[u, v, w]*HPL[{1}, 1 - u])/128 + (27*D1[u, w, v]*HPL[{1}, 1 - u])/
      512 + (15*D1[v, u, w]*HPL[{1}, 1 - u])/256 - 
     (21*D1[v, w, u]*HPL[{1}, 1 - u])/256 - (3*D1[w, u, v]*HPL[{1}, 1 - u])/
      512 + (3*D1[w, v, u]*HPL[{1}, 1 - u])/128 + 
     (9*D10[u, v, w]*HPL[{1}, 1 - u])/512 - (5*D10[u, w, v]*HPL[{1}, 1 - u])/
      512 - (31*D10[v, u, w]*HPL[{1}, 1 - u])/512 + 
     (27*D10[v, w, u]*HPL[{1}, 1 - u])/512 + (5*D10[w, u, v]*HPL[{1}, 1 - u])/
      512 - (D10[w, v, u]*HPL[{1}, 1 - u])/512 + 
     (11*D11[u, v, w]*HPL[{1}, 1 - u])/512 - 
     (11*D11[u, w, v]*HPL[{1}, 1 - u])/128 + (7*D11[v, u, w]*HPL[{1}, 1 - u])/
      256 + (9*D11[v, w, u]*HPL[{1}, 1 - u])/256 - 
     (11*D11[w, v, u]*HPL[{1}, 1 - u])/512 - (D12[u, v, w]*HPL[{1}, 1 - u])/
      64 + (3*D12[u, w, v]*HPL[{1}, 1 - u])/256 - 
     (3*D12[v, u, w]*HPL[{1}, 1 - u])/256 - (3*D12[v, w, u]*HPL[{1}, 1 - u])/
      128 + (3*D12[w, u, v]*HPL[{1}, 1 - u])/128 + 
     (5*D12[w, v, u]*HPL[{1}, 1 - u])/256 - (5*D13[u, v, w]*HPL[{1}, 1 - u])/
      256 + (3*D13[v, w, u]*HPL[{1}, 1 - u])/256 + 
     (D13[w, u, v]*HPL[{1}, 1 - u])/256 - (D14[v, w, u]*HPL[{1}, 1 - u])/
      256 + (11*D15[u, v, w]*HPL[{1}, 1 - u])/256 + 
     (9*D15[v, w, u]*HPL[{1}, 1 - u])/256 - (31*D15[w, u, v]*HPL[{1}, 1 - u])/
      256 + (9*D16[u, v, w]*HPL[{1}, 1 - u])/512 - 
     (9*D16[w, u, v]*HPL[{1}, 1 - u])/512 + (11*D17[u, v, w]*HPL[{1}, 1 - u])/
      256 - (D17[v, w, u]*HPL[{1}, 1 - u])/16 + 
     (29*D17[w, u, v]*HPL[{1}, 1 - u])/256 + (5*D18[u, v, w]*HPL[{1}, 1 - u])/
      256 - (D18[v, w, u]*HPL[{1}, 1 - u])/64 + 
     (11*D18[w, u, v]*HPL[{1}, 1 - u])/256 + (9*D19[u, v, w]*HPL[{1}, 1 - u])/
      256 - (15*D19[w, u, v]*HPL[{1}, 1 - u])/256 + 
     (D2[u, v, w]*HPL[{1}, 1 - u])/128 - (3*D2[u, w, v]*HPL[{1}, 1 - u])/
      256 + (3*D2[v, u, w]*HPL[{1}, 1 - u])/256 + 
     (3*D2[v, w, u]*HPL[{1}, 1 - u])/128 - (3*D2[w, u, v]*HPL[{1}, 1 - u])/
      128 - (7*D2[w, v, u]*HPL[{1}, 1 - u])/256 - 
     (D20[v, w, u]*HPL[{1}, 1 - u])/256 - (D21[u, v, w]*HPL[{1}, 1 - u])/16 + 
     (3*D21[v, w, u]*HPL[{1}, 1 - u])/256 + (7*D21[w, u, v]*HPL[{1}, 1 - u])/
      128 + (D22[u, v, w]*HPL[{1}, 1 - u])/64 - 
     (D22[v, w, u]*HPL[{1}, 1 - u])/64 + (D22[w, u, v]*HPL[{1}, 1 - u])/64 + 
     (3*D23[u, v, w]*HPL[{1}, 1 - u])/256 + (D23[v, w, u]*HPL[{1}, 1 - u])/
      256 - (3*D23[w, u, v]*HPL[{1}, 1 - u])/256 - 
     (D24[u, v, w]*HPL[{1}, 1 - u])/128 + (5*D24[v, w, u]*HPL[{1}, 1 - u])/
      128 - (D24[w, u, v]*HPL[{1}, 1 - u])/128 + 
     (9*D25[u, v, w]*HPL[{1}, 1 - u])/128 - (3*D25[u, w, v]*HPL[{1}, 1 - u])/
      128 - (123*D25[v, u, w]*HPL[{1}, 1 - u])/256 + 
     (87*D25[v, w, u]*HPL[{1}, 1 - u])/256 + (3*D25[w, u, v]*HPL[{1}, 1 - u])/
      128 - (9*D25[w, v, u]*HPL[{1}, 1 - u])/128 - 
     (3*D26[u, v, w]*HPL[{1}, 1 - u])/512 - (9*D26[u, w, v]*HPL[{1}, 1 - u])/
      512 - (27*D26[v, u, w]*HPL[{1}, 1 - u])/512 + 
     (31*D26[v, w, u]*HPL[{1}, 1 - u])/512 + (D26[w, u, v]*HPL[{1}, 1 - u])/
      512 + (3*D26[w, v, u]*HPL[{1}, 1 - u])/512 + 
     (73*D27[u, v, w]*HPL[{1}, 1 - u])/512 - 
     (113*D27[u, w, v]*HPL[{1}, 1 - u])/512 - (D27[v, u, w]*HPL[{1}, 1 - u])/
      8 - (D27[v, w, u]*HPL[{1}, 1 - u])/64 + 
     (37*D27[w, u, v]*HPL[{1}, 1 - u])/512 - (9*D27[w, v, u]*HPL[{1}, 1 - u])/
      512 + (9*D28[v, w, u]*HPL[{1}, 1 - u])/64 - 
     (69*D29[u, v, w]*HPL[{1}, 1 - u])/256 + 
     (105*D29[w, u, v]*HPL[{1}, 1 - u])/256 - (7*D3[u, v, w]*HPL[{1}, 1 - u])/
      512 + (7*D3[u, w, v]*HPL[{1}, 1 - u])/512 + 
     (D3[v, u, w]*HPL[{1}, 1 - u])/256 + (7*D3[v, w, u]*HPL[{1}, 1 - u])/
      256 - (7*D3[w, u, v]*HPL[{1}, 1 - u])/512 - 
     (D3[w, v, u]*HPL[{1}, 1 - u])/512 - (131*D30[u, v, w]*HPL[{1}, 1 - u])/
      2048 - (51*D30[v, w, u]*HPL[{1}, 1 - u])/1024 - 
     (551*D30[w, u, v]*HPL[{1}, 1 - u])/2048 + 
     (5*D31[u, v, w]*HPL[{1}, 1 - u])/128 - (11*D31[v, w, u]*HPL[{1}, 1 - u])/
      256 - (3*D31[w, u, v]*HPL[{1}, 1 - u])/128 + 
     (39*D32[u, v, w]*HPL[{1}, 1 - u])/512 - 
     (15*D32[v, w, u]*HPL[{1}, 1 - u])/128 + 
     (53*D32[w, u, v]*HPL[{1}, 1 - u])/512 - 
     (13*D33[u, v, w]*HPL[{1}, 1 - u])/512 + 
     (13*D33[w, u, v]*HPL[{1}, 1 - u])/512 + (3*D34[u, v, w]*HPL[{1}, 1 - u])/
      1024 - (5*D34[v, w, u]*HPL[{1}, 1 - u])/256 + 
     (45*D34[w, u, v]*HPL[{1}, 1 - u])/1024 - 
     (9*D35[u, v, w]*HPL[{1}, 1 - u])/64 + (D36[u, v, w]*HPL[{1}, 1 - u])/
      256 - (49*D4[u, v, w]*HPL[{1}, 1 - u])/512 + 
     (11*D4[u, w, v]*HPL[{1}, 1 - u])/512 + (9*D4[v, u, w]*HPL[{1}, 1 - u])/
      512 + (23*D4[v, w, u]*HPL[{1}, 1 - u])/512 - 
     (11*D4[w, u, v]*HPL[{1}, 1 - u])/512 + (21*D4[w, v, u]*HPL[{1}, 1 - u])/
      512 - (D5[u, v, w]*HPL[{1}, 1 - u])/512 + 
     (7*D5[u, w, v]*HPL[{1}, 1 - u])/256 - (7*D5[v, u, w]*HPL[{1}, 1 - u])/
      512 + (7*D5[v, w, u]*HPL[{1}, 1 - u])/512 + 
     (D5[w, u, v]*HPL[{1}, 1 - u])/256 - (7*D5[w, v, u]*HPL[{1}, 1 - u])/
      512 - (21*D6[u, v, w]*HPL[{1}, 1 - u])/256 - 
     (11*D6[u, w, v]*HPL[{1}, 1 - u])/512 + (5*D6[v, u, w]*HPL[{1}, 1 - u])/
      128 + (D6[v, w, u]*HPL[{1}, 1 - u])/32 - 
     (33*D6[w, u, v]*HPL[{1}, 1 - u])/512 + (D6[w, v, u]*HPL[{1}, 1 - u])/
      256 + (D7[u, w, v]*HPL[{1}, 1 - u])/512 - 
     (13*D7[v, u, w]*HPL[{1}, 1 - u])/256 + (15*D7[v, w, u]*HPL[{1}, 1 - u])/
      256 - (D7[w, u, v]*HPL[{1}, 1 - u])/512 - (D7[w, v, u]*HPL[{1}, 1 - u])/
      32 + (3*D8[u, v, w]*HPL[{1}, 1 - u])/256 - 
     (3*D8[u, w, v]*HPL[{1}, 1 - u])/512 + (D8[v, u, w]*HPL[{1}, 1 - u])/16 - 
     (9*D8[v, w, u]*HPL[{1}, 1 - u])/128 - (D8[w, u, v]*HPL[{1}, 1 - u])/
      512 + (5*D8[w, v, u]*HPL[{1}, 1 - u])/256 - 
     (15*D9[u, v, w]*HPL[{1}, 1 - u])/512 + (15*D9[u, w, v]*HPL[{1}, 1 - u])/
      512 - (3*D9[v, u, w]*HPL[{1}, 1 - u])/256 + 
     (3*D9[v, w, u]*HPL[{1}, 1 - u])/256 + (9*D9[w, u, v]*HPL[{1}, 1 - u])/
      512 - (9*D9[w, v, u]*HPL[{1}, 1 - u])/512 - 
     (B1[u, v, w]*HPL[{1}, 1 - u]^2)/64 + (7*B1[u, w, v]*HPL[{1}, 1 - u]^2)/
      128 + (3*B1[v, u, w]*HPL[{1}, 1 - u]^2)/1024 + 
     (41*B1[w, u, v]*HPL[{1}, 1 - u]^2)/1024 + 
     (17*B1[w, v, u]*HPL[{1}, 1 - u]^2)/1024 + 
     (B10[u, v, w]*HPL[{1}, 1 - u]^2)/32 - 
     (29*B10[v, w, u]*HPL[{1}, 1 - u]^2)/1024 + 
     (31*B10[w, u, v]*HPL[{1}, 1 - u]^2)/512 + 
     (B11[u, v, w]*HPL[{1}, 1 - u]^2)/1024 - 
     (59*B11[v, w, u]*HPL[{1}, 1 - u]^2)/512 + 
     (43*B11[w, u, v]*HPL[{1}, 1 - u]^2)/1024 + 
     (3*B2[u, v, w]*HPL[{1}, 1 - u]^2)/128 - 
     (13*B2[u, w, v]*HPL[{1}, 1 - u]^2)/1024 + 
     (19*B2[v, u, w]*HPL[{1}, 1 - u]^2)/512 + 
     (59*B2[v, w, u]*HPL[{1}, 1 - u]^2)/1024 + 
     (B2[w, u, v]*HPL[{1}, 1 - u]^2)/128 - (9*B2[w, v, u]*HPL[{1}, 1 - u]^2)/
      1024 + (19*B3[u, v, w]*HPL[{1}, 1 - u]^2)/512 - 
     (9*B3[v, w, u]*HPL[{1}, 1 - u]^2)/1024 + 
     (19*B3[w, u, v]*HPL[{1}, 1 - u]^2)/512 + 
     (3*B4[u, v, w]*HPL[{1}, 1 - u]^2)/1024 - 
     (3*B4[v, w, u]*HPL[{1}, 1 - u]^2)/1024 + 
     (21*B4[w, u, v]*HPL[{1}, 1 - u]^2)/1024 + 
     (5*B5[u, v, w]*HPL[{1}, 1 - u]^2)/512 - 
     (21*B5[u, w, v]*HPL[{1}, 1 - u]^2)/512 + 
     (13*B5[v, u, w]*HPL[{1}, 1 - u]^2)/1024 + 
     (B5[v, w, u]*HPL[{1}, 1 - u]^2)/64 - (45*B5[w, u, v]*HPL[{1}, 1 - u]^2)/
      1024 - (17*B5[w, v, u]*HPL[{1}, 1 - u]^2)/1024 + 
     (5*B6[u, v, w]*HPL[{1}, 1 - u]^2)/512 - 
     (27*B6[u, w, v]*HPL[{1}, 1 - u]^2)/512 - 
     (11*B6[v, u, w]*HPL[{1}, 1 - u]^2)/1024 - 
     (B6[v, w, u]*HPL[{1}, 1 - u]^2)/128 - (21*B6[w, u, v]*HPL[{1}, 1 - u]^2)/
      1024 + (19*B6[w, v, u]*HPL[{1}, 1 - u]^2)/1024 + 
     (B7[u, v, w]*HPL[{1}, 1 - u]^2)/128 + (3*B7[v, w, u]*HPL[{1}, 1 - u]^2)/
      128 + (B7[w, u, v]*HPL[{1}, 1 - u]^2)/128 + 
     (5*B8[u, v, w]*HPL[{1}, 1 - u]^2)/1024 + 
     (27*B8[v, w, u]*HPL[{1}, 1 - u]^2)/1024 - 
     (13*B8[w, u, v]*HPL[{1}, 1 - u]^2)/1024 - 
     (147*B9[u, v, w]*HPL[{1}, 1 - u]^2)/512 - 
     (9*B9[v, w, u]*HPL[{1}, 1 - u]^2)/128 - 
     (201*B9[w, u, v]*HPL[{1}, 1 - u]^2)/512 + HPL[{1}, 1 - u]^8/6144 - 
     (3*D1[u, w, v]*HPL[{1}, 1 - v])/128 + (3*D1[v, u, w]*HPL[{1}, 1 - v])/
      256 + (3*D1[v, w, u]*HPL[{1}, 1 - v])/256 - 
     (3*D1[w, u, v]*HPL[{1}, 1 - v])/128 - (D10[u, v, w]*HPL[{1}, 1 - v])/
      128 + (D10[v, u, w]*HPL[{1}, 1 - v])/256 + 
     (D10[v, w, u]*HPL[{1}, 1 - v])/256 - (D10[w, v, u]*HPL[{1}, 1 - v])/
      128 + (11*D11[u, w, v]*HPL[{1}, 1 - v])/256 - 
     (D11[v, u, w]*HPL[{1}, 1 - v])/32 - (D11[v, w, u]*HPL[{1}, 1 - v])/32 + 
     (11*D11[w, u, v]*HPL[{1}, 1 - v])/256 - (D12[u, v, w]*HPL[{1}, 1 - v])/
      128 - (3*D12[u, w, v]*HPL[{1}, 1 - v])/128 + 
     (3*D12[v, u, w]*HPL[{1}, 1 - v])/256 + (3*D12[v, w, u]*HPL[{1}, 1 - v])/
      256 - (3*D12[w, u, v]*HPL[{1}, 1 - v])/128 - 
     (D12[w, v, u]*HPL[{1}, 1 - v])/128 + (5*D13[u, v, w]*HPL[{1}, 1 - v])/
      256 + (5*D13[w, u, v]*HPL[{1}, 1 - v])/256 + 
     (D14[v, w, u]*HPL[{1}, 1 - v])/256 + (19*D15[u, v, w]*HPL[{1}, 1 - v])/
      256 + (19*D15[w, u, v]*HPL[{1}, 1 - v])/256 - 
     (19*D17[u, v, w]*HPL[{1}, 1 - v])/128 - (D17[v, w, u]*HPL[{1}, 1 - v])/
      128 - (19*D17[w, u, v]*HPL[{1}, 1 - v])/128 - 
     (7*D18[u, v, w]*HPL[{1}, 1 - v])/128 - (D18[v, w, u]*HPL[{1}, 1 - v])/
      128 - (7*D18[w, u, v]*HPL[{1}, 1 - v])/128 + 
     (3*D19[u, v, w]*HPL[{1}, 1 - v])/256 + (3*D19[w, u, v]*HPL[{1}, 1 - v])/
      256 + (D2[u, v, w]*HPL[{1}, 1 - v])/64 + 
     (3*D2[u, w, v]*HPL[{1}, 1 - v])/128 - (3*D2[v, u, w]*HPL[{1}, 1 - v])/
      256 - (3*D2[v, w, u]*HPL[{1}, 1 - v])/256 + 
     (3*D2[w, u, v]*HPL[{1}, 1 - v])/128 + (D2[w, v, u]*HPL[{1}, 1 - v])/64 + 
     (D20[v, w, u]*HPL[{1}, 1 - v])/256 + (D21[u, v, w]*HPL[{1}, 1 - v])/64 + 
     (D21[w, u, v]*HPL[{1}, 1 - v])/64 - (D22[u, v, w]*HPL[{1}, 1 - v])/64 + 
     (D22[v, w, u]*HPL[{1}, 1 - v])/64 - (D22[w, u, v]*HPL[{1}, 1 - v])/64 - 
     (3*D23[u, v, w]*HPL[{1}, 1 - v])/256 - (D23[v, w, u]*HPL[{1}, 1 - v])/
      64 - (3*D23[w, u, v]*HPL[{1}, 1 - v])/256 + 
     (D24[u, v, w]*HPL[{1}, 1 - v])/128 - (5*D24[v, w, u]*HPL[{1}, 1 - v])/
      128 + (D24[w, u, v]*HPL[{1}, 1 - v])/128 + 
     (9*D25[v, u, w]*HPL[{1}, 1 - v])/128 + (9*D25[v, w, u]*HPL[{1}, 1 - v])/
      128 + (D26[u, w, v]*HPL[{1}, 1 - v])/128 - 
     (D26[v, u, w]*HPL[{1}, 1 - v])/256 - (D26[v, w, u]*HPL[{1}, 1 - v])/
      256 + (D26[w, u, v]*HPL[{1}, 1 - v])/128 - 
     (7*D27[u, v, w]*HPL[{1}, 1 - v])/256 + (7*D27[u, w, v]*HPL[{1}, 1 - v])/
      64 + (27*D27[v, u, w]*HPL[{1}, 1 - v])/256 + 
     (27*D27[v, w, u]*HPL[{1}, 1 - v])/256 + (7*D27[w, u, v]*HPL[{1}, 1 - v])/
      64 - (7*D27[w, v, u]*HPL[{1}, 1 - v])/256 - 
     (9*D28[v, w, u]*HPL[{1}, 1 - v])/64 - (9*D29[u, v, w]*HPL[{1}, 1 - v])/
      128 - (9*D29[w, u, v]*HPL[{1}, 1 - v])/128 + 
     (D3[u, v, w]*HPL[{1}, 1 - v])/128 - (D3[v, u, w]*HPL[{1}, 1 - v])/64 - 
     (D3[v, w, u]*HPL[{1}, 1 - v])/64 + (D3[w, v, u]*HPL[{1}, 1 - v])/128 + 
     (701*D30[u, v, w]*HPL[{1}, 1 - v])/2048 + 
     (231*D30[v, w, u]*HPL[{1}, 1 - v])/1024 + 
     (701*D30[w, u, v]*HPL[{1}, 1 - v])/2048 + 
     (7*D31[u, v, w]*HPL[{1}, 1 - v])/256 + (5*D31[v, w, u]*HPL[{1}, 1 - v])/
      64 + (7*D31[w, u, v]*HPL[{1}, 1 - v])/256 - 
     (29*D32[u, v, w]*HPL[{1}, 1 - v])/256 + (3*D32[v, w, u]*HPL[{1}, 1 - v])/
      32 - (29*D32[w, u, v]*HPL[{1}, 1 - v])/256 - 
     (9*D34[u, v, w]*HPL[{1}, 1 - v])/256 + (D34[v, w, u]*HPL[{1}, 1 - v])/
      128 - (9*D34[w, u, v]*HPL[{1}, 1 - v])/256 + 
     (9*D35[u, v, w]*HPL[{1}, 1 - v])/64 - (D36[u, v, w]*HPL[{1}, 1 - v])/
      256 + (7*D4[u, v, w]*HPL[{1}, 1 - v])/256 - 
     (D4[v, u, w]*HPL[{1}, 1 - v])/32 - (D4[v, w, u]*HPL[{1}, 1 - v])/32 + 
     (7*D4[w, v, u]*HPL[{1}, 1 - v])/256 + (D5[u, v, w]*HPL[{1}, 1 - v])/
      128 - (D5[u, w, v]*HPL[{1}, 1 - v])/64 - (D5[w, u, v]*HPL[{1}, 1 - v])/
      64 + (D5[w, v, u]*HPL[{1}, 1 - v])/128 + 
     (19*D6[u, v, w]*HPL[{1}, 1 - v])/256 + (5*D6[u, w, v]*HPL[{1}, 1 - v])/
      64 + (5*D6[w, u, v]*HPL[{1}, 1 - v])/64 + 
     (19*D6[w, v, u]*HPL[{1}, 1 - v])/256 + (D7[u, v, w]*HPL[{1}, 1 - v])/
      64 - (D7[v, u, w]*HPL[{1}, 1 - v])/256 - (D7[v, w, u]*HPL[{1}, 1 - v])/
      256 + (D7[w, v, u]*HPL[{1}, 1 - v])/64 - (D8[u, v, w]*HPL[{1}, 1 - v])/
      256 + (D8[u, w, v]*HPL[{1}, 1 - v])/64 + (D8[v, u, w]*HPL[{1}, 1 - v])/
      64 + (D8[v, w, u]*HPL[{1}, 1 - v])/64 + (D8[w, u, v]*HPL[{1}, 1 - v])/
      64 - (D8[w, v, u]*HPL[{1}, 1 - v])/256 + 
     (3*D9[u, v, w]*HPL[{1}, 1 - v])/128 - (3*D9[u, w, v]*HPL[{1}, 1 - v])/
      128 - (3*D9[w, u, v]*HPL[{1}, 1 - v])/128 + 
     (3*D9[w, v, u]*HPL[{1}, 1 - v])/128 + 
     (37*B1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/256 - 
     (107*B1[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/512 + 
     (29*B1[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/256 - 
     (39*B1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/512 - 
     (91*B1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/512 - 
     (77*B1[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/512 - 
     (5375*B10[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/3072 - 
     (893*B10[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/512 + 
     (643*B10[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/3072 - 
     (191*B11[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/3072 - 
     (B11[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/24 - 
     (311*B11[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1024 - 
     (59*B2[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/512 - 
     (45*B2[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1024 - 
     (7*B2[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/48 - 
     (165*B2[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1024 + 
     (91*B2[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/2048 + 
     (83*B2[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/2048 - 
     (163*B3[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1024 - 
     (55*B3[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1024 - 
     (55*B3[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/256 + 
     (3*B4[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/256 + 
     (B4[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/8 - 
     (1655*B5[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/4096 - 
     (693*B5[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/4096 + 
     (277*B5[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/12288 + 
     (627*B5[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/4096 - 
     (5309*B5[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/12288 - 
     (571*B5[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1024 - 
     (10691*B6[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/8192 - 
     (4655*B6[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/6144 - 
     (27421*B6[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/24576 - 
     (12997*B6[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/24576 - 
     (2845*B6[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/12288 - 
     (1451*B6[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/8192 - 
     (1629*B7[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/4096 - 
     (10777*B7[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/24576 - 
     (5573*B7[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/24576 - 
     (17453*B8[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/24576 - 
     (5173*B8[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/8192 - 
     (17175*B8[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/4096 - 
     (3307*B9[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/2048 - 
     (3719*B9[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/3072 + 
     (1333*B9[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/12288 - 
     (HPL[{1}, 1 - u]^7*HPL[{1}, 1 - v])/768 + 
     (3*B1[u, v, w]*HPL[{1}, 1 - v]^2)/512 + 
     (5*B1[u, w, v]*HPL[{1}, 1 - v]^2)/256 - 
     (5*B1[v, u, w]*HPL[{1}, 1 - v]^2)/256 - 
     (5*B1[v, w, u]*HPL[{1}, 1 - v]^2)/256 + 
     (5*B1[w, u, v]*HPL[{1}, 1 - v]^2)/256 + 
     (3*B1[w, v, u]*HPL[{1}, 1 - v]^2)/512 + 
     (21*B10[u, v, w]*HPL[{1}, 1 - v]^2)/512 + 
     (21*B10[w, u, v]*HPL[{1}, 1 - v]^2)/512 + 
     (9*B11[u, v, w]*HPL[{1}, 1 - v]^2)/256 - 
     (19*B11[v, w, u]*HPL[{1}, 1 - v]^2)/256 + 
     (9*B11[w, u, v]*HPL[{1}, 1 - v]^2)/256 + (B2[u, v, w]*HPL[{1}, 1 - v]^2)/
      256 - (3*B2[u, w, v]*HPL[{1}, 1 - v]^2)/512 + 
     (19*B2[v, u, w]*HPL[{1}, 1 - v]^2)/512 + 
     (19*B2[v, w, u]*HPL[{1}, 1 - v]^2)/512 - 
     (3*B2[w, u, v]*HPL[{1}, 1 - v]^2)/512 + (B2[w, v, u]*HPL[{1}, 1 - v]^2)/
      256 + (5*B3[u, v, w]*HPL[{1}, 1 - v]^2)/256 + 
     (5*B3[w, u, v]*HPL[{1}, 1 - v]^2)/256 - 
     (3*B4[u, v, w]*HPL[{1}, 1 - v]^2)/512 + 
     (3*B4[v, w, u]*HPL[{1}, 1 - v]^2)/512 - 
     (3*B4[w, u, v]*HPL[{1}, 1 - v]^2)/512 - 
     (9*B5[u, v, w]*HPL[{1}, 1 - v]^2)/512 - 
     (3*B5[u, w, v]*HPL[{1}, 1 - v]^2)/128 - 
     (3*B5[w, u, v]*HPL[{1}, 1 - v]^2)/128 - 
     (9*B5[w, v, u]*HPL[{1}, 1 - v]^2)/512 - 
     (9*B6[u, w, v]*HPL[{1}, 1 - v]^2)/512 - 
     (3*B6[v, u, w]*HPL[{1}, 1 - v]^2)/128 - 
     (3*B6[v, w, u]*HPL[{1}, 1 - v]^2)/128 - 
     (9*B6[w, u, v]*HPL[{1}, 1 - v]^2)/512 + 
     (3*B7[u, v, w]*HPL[{1}, 1 - v]^2)/256 + (B7[v, w, u]*HPL[{1}, 1 - v]^2)/
      128 + (3*B7[w, u, v]*HPL[{1}, 1 - v]^2)/256 + 
     (9*B8[u, v, w]*HPL[{1}, 1 - v]^2)/512 + (B8[v, w, u]*HPL[{1}, 1 - v]^2)/
      512 + (9*B8[w, u, v]*HPL[{1}, 1 - v]^2)/512 - 
     (39*B9[u, v, w]*HPL[{1}, 1 - v]^2)/256 - 
     (21*B9[v, w, u]*HPL[{1}, 1 - v]^2)/256 - 
     (39*B9[w, u, v]*HPL[{1}, 1 - v]^2)/256 - 
     (149*HPL[{1}, 1 - u]^6*HPL[{1}, 1 - v]^2)/12288 - 
     (49165*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]^3)/294912 - 
     (594353*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^4)/1179648 - 
     (81199*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^5)/589824 + 
     (153*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^6)/4096 - 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^7)/768 + HPL[{1}, 1 - v]^8/6144 + 
     (3*D1[u, v, w]*HPL[{1}, 1 - w])/128 - (3*D1[u, w, v]*HPL[{1}, 1 - w])/
      512 - (21*D1[v, u, w]*HPL[{1}, 1 - w])/256 + 
     (15*D1[v, w, u]*HPL[{1}, 1 - w])/256 + (27*D1[w, u, v]*HPL[{1}, 1 - w])/
      512 - (3*D1[w, v, u]*HPL[{1}, 1 - w])/128 - 
     (D10[u, v, w]*HPL[{1}, 1 - w])/512 + (5*D10[u, w, v]*HPL[{1}, 1 - w])/
      512 + (27*D10[v, u, w]*HPL[{1}, 1 - w])/512 - 
     (31*D10[v, w, u]*HPL[{1}, 1 - w])/512 - (5*D10[w, u, v]*HPL[{1}, 1 - w])/
      512 + (9*D10[w, v, u]*HPL[{1}, 1 - w])/512 - 
     (11*D11[u, v, w]*HPL[{1}, 1 - w])/512 + (9*D11[v, u, w]*HPL[{1}, 1 - w])/
      256 + (7*D11[v, w, u]*HPL[{1}, 1 - w])/256 - 
     (11*D11[w, u, v]*HPL[{1}, 1 - w])/128 + 
     (11*D11[w, v, u]*HPL[{1}, 1 - w])/512 + (5*D12[u, v, w]*HPL[{1}, 1 - w])/
      256 + (3*D12[u, w, v]*HPL[{1}, 1 - w])/128 - 
     (3*D12[v, u, w]*HPL[{1}, 1 - w])/128 - (3*D12[v, w, u]*HPL[{1}, 1 - w])/
      256 + (3*D12[w, u, v]*HPL[{1}, 1 - w])/256 - 
     (D12[w, v, u]*HPL[{1}, 1 - w])/64 + (D13[u, v, w]*HPL[{1}, 1 - w])/256 + 
     (3*D13[v, w, u]*HPL[{1}, 1 - w])/256 - (5*D13[w, u, v]*HPL[{1}, 1 - w])/
      256 - (D14[v, w, u]*HPL[{1}, 1 - w])/256 - 
     (31*D15[u, v, w]*HPL[{1}, 1 - w])/256 + (9*D15[v, w, u]*HPL[{1}, 1 - w])/
      256 + (11*D15[w, u, v]*HPL[{1}, 1 - w])/256 - 
     (9*D16[u, v, w]*HPL[{1}, 1 - w])/512 + (9*D16[w, u, v]*HPL[{1}, 1 - w])/
      512 + (29*D17[u, v, w]*HPL[{1}, 1 - w])/256 - 
     (D17[v, w, u]*HPL[{1}, 1 - w])/16 + (11*D17[w, u, v]*HPL[{1}, 1 - w])/
      256 + (11*D18[u, v, w]*HPL[{1}, 1 - w])/256 - 
     (D18[v, w, u]*HPL[{1}, 1 - w])/64 + (5*D18[w, u, v]*HPL[{1}, 1 - w])/
      256 - (15*D19[u, v, w]*HPL[{1}, 1 - w])/256 + 
     (9*D19[w, u, v]*HPL[{1}, 1 - w])/256 - (7*D2[u, v, w]*HPL[{1}, 1 - w])/
      256 - (3*D2[u, w, v]*HPL[{1}, 1 - w])/128 + 
     (3*D2[v, u, w]*HPL[{1}, 1 - w])/128 + (3*D2[v, w, u]*HPL[{1}, 1 - w])/
      256 - (3*D2[w, u, v]*HPL[{1}, 1 - w])/256 + 
     (D2[w, v, u]*HPL[{1}, 1 - w])/128 - (D20[v, w, u]*HPL[{1}, 1 - w])/256 + 
     (7*D21[u, v, w]*HPL[{1}, 1 - w])/128 + (3*D21[v, w, u]*HPL[{1}, 1 - w])/
      256 - (D21[w, u, v]*HPL[{1}, 1 - w])/16 + 
     (D22[u, v, w]*HPL[{1}, 1 - w])/64 - (D22[v, w, u]*HPL[{1}, 1 - w])/64 + 
     (D22[w, u, v]*HPL[{1}, 1 - w])/64 - (3*D23[u, v, w]*HPL[{1}, 1 - w])/
      256 + (D23[v, w, u]*HPL[{1}, 1 - w])/256 + 
     (3*D23[w, u, v]*HPL[{1}, 1 - w])/256 - (D24[u, v, w]*HPL[{1}, 1 - w])/
      128 + (5*D24[v, w, u]*HPL[{1}, 1 - w])/128 - 
     (D24[w, u, v]*HPL[{1}, 1 - w])/128 - (9*D25[u, v, w]*HPL[{1}, 1 - w])/
      128 + (3*D25[u, w, v]*HPL[{1}, 1 - w])/128 + 
     (87*D25[v, u, w]*HPL[{1}, 1 - w])/256 - 
     (123*D25[v, w, u]*HPL[{1}, 1 - w])/256 - 
     (3*D25[w, u, v]*HPL[{1}, 1 - w])/128 + (9*D25[w, v, u]*HPL[{1}, 1 - w])/
      128 + (3*D26[u, v, w]*HPL[{1}, 1 - w])/512 + 
     (D26[u, w, v]*HPL[{1}, 1 - w])/512 + (31*D26[v, u, w]*HPL[{1}, 1 - w])/
      512 - (27*D26[v, w, u]*HPL[{1}, 1 - w])/512 - 
     (9*D26[w, u, v]*HPL[{1}, 1 - w])/512 - (3*D26[w, v, u]*HPL[{1}, 1 - w])/
      512 - (9*D27[u, v, w]*HPL[{1}, 1 - w])/512 + 
     (37*D27[u, w, v]*HPL[{1}, 1 - w])/512 - (D27[v, u, w]*HPL[{1}, 1 - w])/
      64 - (D27[v, w, u]*HPL[{1}, 1 - w])/8 - 
     (113*D27[w, u, v]*HPL[{1}, 1 - w])/512 + 
     (73*D27[w, v, u]*HPL[{1}, 1 - w])/512 + (9*D28[v, w, u]*HPL[{1}, 1 - w])/
      64 + (105*D29[u, v, w]*HPL[{1}, 1 - w])/256 - 
     (69*D29[w, u, v]*HPL[{1}, 1 - w])/256 - (D3[u, v, w]*HPL[{1}, 1 - w])/
      512 - (7*D3[u, w, v]*HPL[{1}, 1 - w])/512 + 
     (7*D3[v, u, w]*HPL[{1}, 1 - w])/256 + (D3[v, w, u]*HPL[{1}, 1 - w])/
      256 + (7*D3[w, u, v]*HPL[{1}, 1 - w])/512 - 
     (7*D3[w, v, u]*HPL[{1}, 1 - w])/512 - (551*D30[u, v, w]*HPL[{1}, 1 - w])/
      2048 - (51*D30[v, w, u]*HPL[{1}, 1 - w])/1024 - 
     (131*D30[w, u, v]*HPL[{1}, 1 - w])/2048 - 
     (3*D31[u, v, w]*HPL[{1}, 1 - w])/128 - (11*D31[v, w, u]*HPL[{1}, 1 - w])/
      256 + (5*D31[w, u, v]*HPL[{1}, 1 - w])/128 + 
     (53*D32[u, v, w]*HPL[{1}, 1 - w])/512 - 
     (15*D32[v, w, u]*HPL[{1}, 1 - w])/128 + 
     (39*D32[w, u, v]*HPL[{1}, 1 - w])/512 + 
     (13*D33[u, v, w]*HPL[{1}, 1 - w])/512 - 
     (13*D33[w, u, v]*HPL[{1}, 1 - w])/512 + 
     (45*D34[u, v, w]*HPL[{1}, 1 - w])/1024 - 
     (5*D34[v, w, u]*HPL[{1}, 1 - w])/256 + (3*D34[w, u, v]*HPL[{1}, 1 - w])/
      1024 - (9*D35[u, v, w]*HPL[{1}, 1 - w])/64 + 
     (D36[u, v, w]*HPL[{1}, 1 - w])/256 + (21*D4[u, v, w]*HPL[{1}, 1 - w])/
      512 - (11*D4[u, w, v]*HPL[{1}, 1 - w])/512 + 
     (23*D4[v, u, w]*HPL[{1}, 1 - w])/512 + (9*D4[v, w, u]*HPL[{1}, 1 - w])/
      512 + (11*D4[w, u, v]*HPL[{1}, 1 - w])/512 - 
     (49*D4[w, v, u]*HPL[{1}, 1 - w])/512 - (7*D5[u, v, w]*HPL[{1}, 1 - w])/
      512 + (D5[u, w, v]*HPL[{1}, 1 - w])/256 + 
     (7*D5[v, u, w]*HPL[{1}, 1 - w])/512 - (7*D5[v, w, u]*HPL[{1}, 1 - w])/
      512 + (7*D5[w, u, v]*HPL[{1}, 1 - w])/256 - 
     (D5[w, v, u]*HPL[{1}, 1 - w])/512 + (D6[u, v, w]*HPL[{1}, 1 - w])/256 - 
     (33*D6[u, w, v]*HPL[{1}, 1 - w])/512 + (D6[v, u, w]*HPL[{1}, 1 - w])/
      32 + (5*D6[v, w, u]*HPL[{1}, 1 - w])/128 - 
     (11*D6[w, u, v]*HPL[{1}, 1 - w])/512 - (21*D6[w, v, u]*HPL[{1}, 1 - w])/
      256 - (D7[u, v, w]*HPL[{1}, 1 - w])/32 - (D7[u, w, v]*HPL[{1}, 1 - w])/
      512 + (15*D7[v, u, w]*HPL[{1}, 1 - w])/256 - 
     (13*D7[v, w, u]*HPL[{1}, 1 - w])/256 + (D7[w, u, v]*HPL[{1}, 1 - w])/
      512 + (5*D8[u, v, w]*HPL[{1}, 1 - w])/256 - 
     (D8[u, w, v]*HPL[{1}, 1 - w])/512 - (9*D8[v, u, w]*HPL[{1}, 1 - w])/
      128 + (D8[v, w, u]*HPL[{1}, 1 - w])/16 - 
     (3*D8[w, u, v]*HPL[{1}, 1 - w])/512 + (3*D8[w, v, u]*HPL[{1}, 1 - w])/
      256 - (9*D9[u, v, w]*HPL[{1}, 1 - w])/512 + 
     (9*D9[u, w, v]*HPL[{1}, 1 - w])/512 + (3*D9[v, u, w]*HPL[{1}, 1 - w])/
      256 - (3*D9[v, w, u]*HPL[{1}, 1 - w])/256 + 
     (15*D9[w, u, v]*HPL[{1}, 1 - w])/512 - (15*D9[w, v, u]*HPL[{1}, 1 - w])/
      512 - (91*B1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/512 + 
     (53*B1[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/256 - 
     (81*B1[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/512 - 
     (81*B1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/512 + 
     (53*B1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/256 - 
     (91*B1[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/512 - 
     (483*B10[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/256 + 
     (187*B10[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/256 - 
     (483*B10[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/256 - 
     (119*B11[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/512 - 
     (157*B11[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/256 - 
     (119*B11[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/512 - 
     (49*B2[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/1024 - 
     (11*B2[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/128 + 
     (61*B2[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/512 + 
     (61*B2[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/512 - 
     (11*B2[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/128 - 
     (49*B2[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/1024 - 
     (29*B3[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/128 - 
     (9*B3[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/256 - 
     (29*B3[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/128 - 
     (3*B4[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/512 + 
     (5*B4[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/32 - 
     (3*B4[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/512 + 
     (2465*B5[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/6144 - 
     (155*B5[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/3072 - 
     (6277*B5[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/12288 - 
     (6277*B5[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/12288 - 
     (155*B5[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/3072 + 
     (2465*B5[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/6144 - 
     (15943*B6[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/24576 - 
     (3925*B6[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/12288 - 
     (12953*B6[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/24576 - 
     (12953*B6[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/24576 - 
     (3925*B6[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/12288 - 
     (15943*B6[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/24576 - 
     (3493*B7[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/8192 - 
     (1359*B7[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/4096 - 
     (3493*B7[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/8192 - 
     (3769*B8[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/4096 - 
     (953*B8[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/256 - 
     (3769*B8[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/4096 - 
     (463*B9[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/256 - 
     (707*B9[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/2048 - 
     (463*B9[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/256 + 
     (HPL[{1}, 1 - u]^7*HPL[{1}, 1 - w])/768 - 
     (77*B1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/512 - 
     (91*B1[u, w, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/512 - 
     (39*B1[v, u, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/512 + 
     (29*B1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/256 - 
     (107*B1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/512 + 
     (37*B1[w, v, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/256 + 
     (643*B10[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/3072 - 
     (893*B10[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/512 - 
     (5375*B10[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/3072 - 
     (311*B11[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1024 - 
     (B11[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/24 - 
     (191*B11[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/3072 + 
     (83*B2[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/2048 + 
     (91*B2[u, w, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/2048 - 
     (165*B2[v, u, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1024 - 
     (7*B2[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/48 - 
     (45*B2[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1024 - 
     (59*B2[w, v, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/512 - 
     (55*B3[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/256 - 
     (55*B3[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1024 - 
     (163*B3[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1024 + 
     (B4[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/8 + 
     (3*B4[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/256 - 
     (571*B5[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1024 - 
     (5309*B5[u, w, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/12288 + 
     (627*B5[v, u, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/4096 + 
     (277*B5[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/12288 - 
     (693*B5[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/4096 - 
     (1655*B5[w, v, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/4096 - 
     (1451*B6[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/8192 - 
     (2845*B6[u, w, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/12288 - 
     (12997*B6[v, u, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/24576 - 
     (27421*B6[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/24576 - 
     (4655*B6[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/6144 - 
     (10691*B6[w, v, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/8192 - 
     (5573*B7[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/24576 - 
     (10777*B7[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/24576 - 
     (1629*B7[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/4096 - 
     (17175*B8[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/4096 - 
     (5173*B8[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/8192 - 
     (17453*B8[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/24576 + 
     (1333*B9[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/12288 - 
     (3719*B9[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/3072 - 
     (3307*B9[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/2048 + 
     (21*HPL[{1}, 1 - u]^6*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/10240 - 
     (25259*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w])/92160 - 
     (851933*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w])/1179648 - 
     (47377*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w])/1179648 - 
     (311933*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w])/589824 + 
     (55*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^6*HPL[{1}, 1 - w])/3072 - 
     (HPL[{1}, 1 - v]^7*HPL[{1}, 1 - w])/768 + 
     (17*B1[u, v, w]*HPL[{1}, 1 - w]^2)/1024 + 
     (41*B1[u, w, v]*HPL[{1}, 1 - w]^2)/1024 + 
     (3*B1[v, w, u]*HPL[{1}, 1 - w]^2)/1024 + 
     (7*B1[w, u, v]*HPL[{1}, 1 - w]^2)/128 - (B1[w, v, u]*HPL[{1}, 1 - w]^2)/
      64 + (31*B10[u, v, w]*HPL[{1}, 1 - w]^2)/512 - 
     (29*B10[v, w, u]*HPL[{1}, 1 - w]^2)/1024 + 
     (B10[w, u, v]*HPL[{1}, 1 - w]^2)/32 + 
     (43*B11[u, v, w]*HPL[{1}, 1 - w]^2)/1024 - 
     (59*B11[v, w, u]*HPL[{1}, 1 - w]^2)/512 + 
     (B11[w, u, v]*HPL[{1}, 1 - w]^2)/1024 - 
     (9*B2[u, v, w]*HPL[{1}, 1 - w]^2)/1024 + (B2[u, w, v]*HPL[{1}, 1 - w]^2)/
      128 + (59*B2[v, u, w]*HPL[{1}, 1 - w]^2)/1024 + 
     (19*B2[v, w, u]*HPL[{1}, 1 - w]^2)/512 - 
     (13*B2[w, u, v]*HPL[{1}, 1 - w]^2)/1024 + 
     (3*B2[w, v, u]*HPL[{1}, 1 - w]^2)/128 + 
     (19*B3[u, v, w]*HPL[{1}, 1 - w]^2)/512 - 
     (9*B3[v, w, u]*HPL[{1}, 1 - w]^2)/1024 + 
     (19*B3[w, u, v]*HPL[{1}, 1 - w]^2)/512 + 
     (21*B4[u, v, w]*HPL[{1}, 1 - w]^2)/1024 - 
     (3*B4[v, w, u]*HPL[{1}, 1 - w]^2)/1024 + 
     (3*B4[w, u, v]*HPL[{1}, 1 - w]^2)/1024 - 
     (17*B5[u, v, w]*HPL[{1}, 1 - w]^2)/1024 - 
     (45*B5[u, w, v]*HPL[{1}, 1 - w]^2)/1024 + 
     (B5[v, u, w]*HPL[{1}, 1 - w]^2)/64 + (13*B5[v, w, u]*HPL[{1}, 1 - w]^2)/
      1024 - (21*B5[w, u, v]*HPL[{1}, 1 - w]^2)/512 + 
     (5*B5[w, v, u]*HPL[{1}, 1 - w]^2)/512 + 
     (19*B6[u, v, w]*HPL[{1}, 1 - w]^2)/1024 - 
     (21*B6[u, w, v]*HPL[{1}, 1 - w]^2)/1024 - 
     (B6[v, u, w]*HPL[{1}, 1 - w]^2)/128 - (11*B6[v, w, u]*HPL[{1}, 1 - w]^2)/
      1024 - (27*B6[w, u, v]*HPL[{1}, 1 - w]^2)/512 + 
     (5*B6[w, v, u]*HPL[{1}, 1 - w]^2)/512 + (B7[u, v, w]*HPL[{1}, 1 - w]^2)/
      128 + (3*B7[v, w, u]*HPL[{1}, 1 - w]^2)/128 + 
     (B7[w, u, v]*HPL[{1}, 1 - w]^2)/128 - (13*B8[u, v, w]*HPL[{1}, 1 - w]^2)/
      1024 + (27*B8[v, w, u]*HPL[{1}, 1 - w]^2)/1024 + 
     (5*B8[w, u, v]*HPL[{1}, 1 - w]^2)/1024 - 
     (201*B9[u, v, w]*HPL[{1}, 1 - w]^2)/512 - 
     (9*B9[v, w, u]*HPL[{1}, 1 - w]^2)/128 - 
     (147*B9[w, u, v]*HPL[{1}, 1 - w]^2)/512 - 
     (651*HPL[{1}, 1 - u]^6*HPL[{1}, 1 - w]^2)/8192 + 
     (52383*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2)/81920 - 
     (187447*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2)/1769472 - 
     (11220985*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2)/
      3538944 + (300989*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]^2)/196608 - (48713*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5*
       HPL[{1}, 1 - w]^2)/147456 + (37*HPL[{1}, 1 - v]^6*HPL[{1}, 1 - w]^2)/
      2048 - (5779*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w]^3)/589824 - 
     (115103*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3)/196608 - 
     (1636511*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3)/442368 - 
     (10618813*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3)/
      3538944 - (901459*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^3)/
      1179648 + (23629*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]^3)/294912 - 
     (301613*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^4)/294912 - 
     (34271*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4)/32768 - 
     (125437*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4)/1769472 - 
     (39191*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^4)/1179648 - 
     (905297*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^4)/1179648 + 
     (4223*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^5)/36864 + 
     (564611*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5)/983040 - 
     (1290343*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^5)/2949120 - 
     (36875*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^5)/589824 - 
     (31*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^6)/768 + 
     (21*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^6)/10240 - 
     (1259*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^6)/24576 + 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^7)/768 - 
     (HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^7)/768 + HPL[{1}, 1 - w]^8/6144 + 
     (B1[u, v, w]*HPL[{0, 1}, 1 - u])/256 + (B1[u, w, v]*HPL[{0, 1}, 1 - u])/
      128 - (B1[v, u, w]*HPL[{0, 1}, 1 - u])/32 - 
     (B1[v, w, u]*HPL[{0, 1}, 1 - u])/256 + 
     (7*B1[w, u, v]*HPL[{0, 1}, 1 - u])/256 + 
     (B1[w, v, u]*HPL[{0, 1}, 1 - u])/32 - 
     (19*B10[u, v, w]*HPL[{0, 1}, 1 - u])/256 - 
     (9*B10[v, w, u]*HPL[{0, 1}, 1 - u])/256 + 
     (B10[w, u, v]*HPL[{0, 1}, 1 - u])/256 - 
     (17*B11[u, v, w]*HPL[{0, 1}, 1 - u])/256 - 
     (9*B11[v, w, u]*HPL[{0, 1}, 1 - u])/128 + 
     (17*B11[w, u, v]*HPL[{0, 1}, 1 - u])/256 - 
     (B2[u, v, w]*HPL[{0, 1}, 1 - u])/256 - (B2[u, w, v]*HPL[{0, 1}, 1 - u])/
      256 + (11*B2[v, u, w]*HPL[{0, 1}, 1 - u])/256 - 
     (B2[v, w, u]*HPL[{0, 1}, 1 - u])/128 - (B2[w, u, v]*HPL[{0, 1}, 1 - u])/
      32 - (B2[w, v, u]*HPL[{0, 1}, 1 - u])/32 + 
     (3*B3[u, v, w]*HPL[{0, 1}, 1 - u])/256 - 
     (9*B3[v, w, u]*HPL[{0, 1}, 1 - u])/256 - 
     (3*B3[w, u, v]*HPL[{0, 1}, 1 - u])/256 + 
     (9*B4[v, w, u]*HPL[{0, 1}, 1 - u])/256 + 
     (3*B5[u, v, w]*HPL[{0, 1}, 1 - u])/64 + 
     (7*B5[u, w, v]*HPL[{0, 1}, 1 - u])/256 + 
     (B5[v, u, w]*HPL[{0, 1}, 1 - u])/32 + (B5[v, w, u]*HPL[{0, 1}, 1 - u])/
      256 + (B5[w, u, v]*HPL[{0, 1}, 1 - u])/128 - 
     (3*B5[w, v, u]*HPL[{0, 1}, 1 - u])/256 + 
     (3*B6[u, v, w]*HPL[{0, 1}, 1 - u])/256 - 
     (B6[u, w, v]*HPL[{0, 1}, 1 - u])/128 + (B6[v, u, w]*HPL[{0, 1}, 1 - u])/
      32 + (B6[v, w, u]*HPL[{0, 1}, 1 - u])/256 + 
     (11*B6[w, u, v]*HPL[{0, 1}, 1 - u])/256 + 
     (3*B6[w, v, u]*HPL[{0, 1}, 1 - u])/128 - 
     (9*B8[v, w, u]*HPL[{0, 1}, 1 - u])/256 - 
     (9*B9[u, v, w]*HPL[{0, 1}, 1 - u])/128 + 
     (9*B9[w, u, v]*HPL[{0, 1}, 1 - u])/128 + 
     (2393*HPL[{1}, 1 - u]^6*HPL[{0, 1}, 1 - u])/12288 - 
     (24611*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u])/147456 + 
     (3311*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u])/18432 - 
     (3032921*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u])/
      1769472 - (2147107*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4*
       HPL[{0, 1}, 1 - u])/1769472 + (151985*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - u])/294912 + 
     (403*HPL[{1}, 1 - v]^6*HPL[{0, 1}, 1 - u])/6144 + 
     (7163*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/32768 - 
     (21901*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u])/16384 + (221047*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/65536 + 
     (9063397*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u])/1769472 + (1524773*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/1769472 - 
     (58709*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/294912 - 
     (13831*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u])/49152 + 
     (1693325*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u])/589824 - (5334043*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u])/1179648 + 
     (319669*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u])/442368 + (8097*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u])/8192 - (1639393*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u])/589824 + 
     (9616895*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u])/1769472 - (3099593*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u])/1769472 - 
     (10907*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u])/589824 + 
     (284089*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u])/589824 + 
     (387371*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
       HPL[{0, 1}, 1 - u])/442368 + (492647*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u])/294912 + 
     (30307*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - u])/73728 + 
     (62041*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - u])/294912 - 
     (1037*HPL[{1}, 1 - w]^6*HPL[{0, 1}, 1 - u])/12288 + 
     (16679*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - u]^2)/49152 - 
     (861745*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2)/294912 - 
     (1357409*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2)/
      589824 + (502999*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - u]^2)/73728 + (155563*HPL[{1}, 1 - v]^4*
       HPL[{0, 1}, 1 - u]^2)/49152 - (609275*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2)/147456 + 
     (1479761*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]^2)/589824 - 
     (95863*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]^2)/18432 - (315121*HPL[{1}, 1 - v]^3*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2)/73728 - 
     (147797*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2)/
      196608 - (2095429*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u]^2)/589824 + (4367071*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2)/589824 + 
     (1576207*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]^2)/
      294912 - (30331*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]^2)/
      8192 + (167107*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u]^2)/98304 - 
     (32039*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]^3)/24576 + 
     (2235593*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^3)/589824 + 
     (40959*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^3)/16384 + 
     (1456141*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^3)/294912 - 
     (1715791*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^3)/589824 + 
     (35297*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^3)/24576 + 
     (32243*HPL[{0, 1}, 1 - u]^4)/49152 - 
     (343*HPL[{1}, 1 - u]^6*HPL[{0, 1}, 1 - v])/12288 - 
     (52465*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v])/49152 + 
     (91487*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v])/442368 - 
     (704563*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v])/884736 + 
     (4177*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v])/16384 + 
     (20335*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - v])/294912 - 
     (617*HPL[{1}, 1 - v]^6*HPL[{0, 1}, 1 - v])/6144 - 
     (11869*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/73728 + 
     (2159209*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v])/1769472 + (6486503*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/884736 + 
     (18431*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v])/13824 - (242387*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/147456 + 
     (20335*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/294912 + 
     (839473*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v])/294912 - 
     (166829*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v])/1769472 - (2504231*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v])/1769472 + 
     (464921*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v])/884736 + (6191*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v])/49152 - (370049*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v])/294912 - 
     (334169*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - v])/1769472 + (3521401*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v])/442368 - 
     (629801*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v])/442368 + 
     (135967*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v])/73728 + 
     (3826147*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
       HPL[{0, 1}, 1 - v])/1769472 + (58463*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v])/110592 - 
     (143887*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - v])/294912 - 
     (284087*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - v])/294912 - 
     (163*HPL[{1}, 1 - w]^6*HPL[{0, 1}, 1 - v])/1536 - 
     (83275*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/49152 - 
     (4529615*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/884736 + (15176749*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/589824 - 
     (464027*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/884736 - (383659*HPL[{1}, 1 - v]^4*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/147456 - 
     (2402063*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/294912 + (1998527*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/
      442368 + (3215107*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/294912 - 
     (3946501*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/442368 + (437483*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/32768 + 
     (4069303*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/884736 + 
     (8413121*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/884736 - (1593*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/16384 + 
     (16409*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/294912 + (29887*HPL[{1}, 1 - w]^4*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/73728 - 
     (155671*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v])/
      147456 + (8381027*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1}, 1 - v])/589824 + (1345993*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v])/147456 - 
     (368153*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1}, 1 - v])/147456 - (6155197*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v])/589824 - 
     (1846997*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v])/
      147456 - (11273*HPL[{0, 1}, 1 - u]^3*HPL[{0, 1}, 1 - v])/24576 + 
     (237883*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - v]^2)/294912 + 
     (3026521*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2)/
      884736 + (262055*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - v]^2)/98304 - (1058675*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]^2)/294912 + 
     (3475*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v]^2)/12288 - 
     (376151*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2)/147456 - 
     (6061477*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]^2)/1769472 - 
     (233941*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]^2)/98304 - (1035923*HPL[{1}, 1 - v]^3*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2)/294912 + 
     (1550237*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2)/
      294912 - (2005873*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v]^2)/1769472 + (193297*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2)/98304 - 
     (3911*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]^2)/2304 + 
     (3906247*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]^2)/
      884736 + (590143*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]^2)/294912 - 
     (487543*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2)/
      442368 + (23594149*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v]^2)/1769472 + (46987*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2)/24576 - 
     (6868655*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v]^2)/884736 + (1119457*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2)/442368 - 
     (239641*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2)/
      18432 + (3593503*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^2)/393216 - 
     (224941*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^3)/147456 + 
     (1306351*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^3)/196608 - 
     (329*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]^3)/2048 + 
     (626875*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^3)/294912 + 
     (1417903*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^3)/196608 + 
     (173447*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^3)/147456 + 
     (2149*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^3)/49152 + 
     (1231*HPL[{0, 1}, 1 - v]^4)/4096 + (B1[u, v, w]*HPL[{0, 1}, 1 - w])/32 + 
     (7*B1[u, w, v]*HPL[{0, 1}, 1 - w])/256 - 
     (B1[v, u, w]*HPL[{0, 1}, 1 - w])/256 - (B1[v, w, u]*HPL[{0, 1}, 1 - w])/
      32 + (B1[w, u, v]*HPL[{0, 1}, 1 - w])/128 + 
     (B1[w, v, u]*HPL[{0, 1}, 1 - w])/256 + (B10[u, v, w]*HPL[{0, 1}, 1 - w])/
      256 - (9*B10[v, w, u]*HPL[{0, 1}, 1 - w])/256 - 
     (19*B10[w, u, v]*HPL[{0, 1}, 1 - w])/256 + 
     (17*B11[u, v, w]*HPL[{0, 1}, 1 - w])/256 - 
     (9*B11[v, w, u]*HPL[{0, 1}, 1 - w])/128 - 
     (17*B11[w, u, v]*HPL[{0, 1}, 1 - w])/256 - 
     (B2[u, v, w]*HPL[{0, 1}, 1 - w])/32 - (B2[u, w, v]*HPL[{0, 1}, 1 - w])/
      32 - (B2[v, u, w]*HPL[{0, 1}, 1 - w])/128 + 
     (11*B2[v, w, u]*HPL[{0, 1}, 1 - w])/256 - 
     (B2[w, u, v]*HPL[{0, 1}, 1 - w])/256 - (B2[w, v, u]*HPL[{0, 1}, 1 - w])/
      256 - (3*B3[u, v, w]*HPL[{0, 1}, 1 - w])/256 - 
     (9*B3[v, w, u]*HPL[{0, 1}, 1 - w])/256 + 
     (3*B3[w, u, v]*HPL[{0, 1}, 1 - w])/256 + 
     (9*B4[v, w, u]*HPL[{0, 1}, 1 - w])/256 - 
     (3*B5[u, v, w]*HPL[{0, 1}, 1 - w])/256 + 
     (B5[u, w, v]*HPL[{0, 1}, 1 - w])/128 + (B5[v, u, w]*HPL[{0, 1}, 1 - w])/
      256 + (B5[v, w, u]*HPL[{0, 1}, 1 - w])/32 + 
     (7*B5[w, u, v]*HPL[{0, 1}, 1 - w])/256 + 
     (3*B5[w, v, u]*HPL[{0, 1}, 1 - w])/64 + 
     (3*B6[u, v, w]*HPL[{0, 1}, 1 - w])/128 + 
     (11*B6[u, w, v]*HPL[{0, 1}, 1 - w])/256 + 
     (B6[v, u, w]*HPL[{0, 1}, 1 - w])/256 + (B6[v, w, u]*HPL[{0, 1}, 1 - w])/
      32 - (B6[w, u, v]*HPL[{0, 1}, 1 - w])/128 + 
     (3*B6[w, v, u]*HPL[{0, 1}, 1 - w])/256 - 
     (9*B8[v, w, u]*HPL[{0, 1}, 1 - w])/256 + 
     (9*B9[u, v, w]*HPL[{0, 1}, 1 - w])/128 - 
     (9*B9[w, u, v]*HPL[{0, 1}, 1 - w])/128 - 
     (333*HPL[{1}, 1 - u]^6*HPL[{0, 1}, 1 - w])/2048 + 
     (6277*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w])/18432 + 
     (282911*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/294912 - 
     (280781*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w])/589824 + 
     (57237*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w])/32768 + 
     (14593*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - w])/73728 + 
     (83*HPL[{1}, 1 - v]^6*HPL[{0, 1}, 1 - w])/3072 + 
     (17129*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/294912 + 
     (1743013*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w])/884736 - (3640409*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/1769472 + 
     (45419*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w])/55296 - (100825*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/1769472 + 
     (132637*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/147456 + 
     (212303*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w])/589824 + 
     (12039353*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w])/1769472 - (1787201*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w])/393216 + 
     (8466013*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w])/1769472 - (3715483*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w])/1769472 - 
     (683891*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w])/196608 + 
     (398285*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - w])/196608 + (2239007*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w])/589824 - 
     (1049423*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w])/
      1769472 - (16195*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4*
       HPL[{0, 1}, 1 - w])/147456 - (21901*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w])/16384 + 
     (595*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w])/73728 + 
     (7163*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - w])/32768 - 
     (24611*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - w])/147456 + 
     (2393*HPL[{1}, 1 - w]^6*HPL[{0, 1}, 1 - w])/12288 - 
     (56827*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/18432 - 
     (145275*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/32768 + (790571*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/147456 + 
     (134863*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/294912 - (43981*HPL[{1}, 1 - v]^4*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/73728 - 
     (277159*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/147456 + (1962229*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/
      98304 + (74765*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/24576 - 
     (141709*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/98304 + (2461939*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/98304 + 
     (3720493*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/294912 + 
     (1188983*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/147456 - (27149*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/49152 - 
     (2113073*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/294912 - (77941*HPL[{1}, 1 - w]^4*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/36864 - 
     (374921*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w])/
      49152 + (627935*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1}, 1 - w])/73728 - (617167*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w])/49152 + 
     (582927*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1}, 1 - w])/32768 - (9006961*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w])/589824 + 
     (31675*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w])/6144 + 
     (3395*HPL[{0, 1}, 1 - u]^3*HPL[{0, 1}, 1 - w])/16384 + 
     (166313*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/
      147456 - (316625*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/294912 + (7044455*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/884736 - 
     (25439*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/3456 - (467203*HPL[{1}, 1 - v]^4*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/147456 + 
     (224971*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/147456 + (7235179*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/
      884736 - (16441*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/98304 + 
     (1083199*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/884736 + (373681*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/32768 + 
     (6561263*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/442368 + 
     (1442253*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/65536 - (324863*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/32768 - 
     (1721981*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/884736 - (392677*HPL[{1}, 1 - w]^4*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/147456 - 
     (6819617*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/98304 - (97055*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/16384 - 
     (10526975*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/147456 - (562039*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/73728 - 
     (365581*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/147456 - 
     (22021423*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/294912 + (360919*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/196608 - 
     (1051219*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/
      73728 - (4835003*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1}, 1 - w])/442368 - (4141*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/24576 + 
     (3707149*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1}, 1 - w])/884736 + (16035061*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/1769472 + 
     (3545021*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/
      442368 + (2804395*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1}, 1 - w])/294912 + (2149*HPL[{0, 1}, 1 - v]^3*
       HPL[{0, 1}, 1 - w])/49152 + (71167*HPL[{1}, 1 - u]^4*
       HPL[{0, 1}, 1 - w]^2)/32768 - (24719*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - w]^2)/16384 + (3745183*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2)/589824 - 
     (74305*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]^2)/18432 + 
     (64427*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w]^2)/49152 + 
     (1328587*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2)/
      294912 - (120569*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]^2)/589824 - (612415*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2)/73728 + 
     (364673*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2)/49152 - 
     (302249*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2)/
      196608 + (2018969*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w]^2)/589824 - (1433261*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2)/589824 - 
     (632339*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]^2)/147456 - 
     (815617*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]^2)/294912 + 
     (16679*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]^2)/49152 + 
     (220517*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2)/
      24576 + (1241839*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w]^2)/589824 - (791855*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2)/49152 + 
     (1134397*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w]^2)/98304 - (13297*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2)/2304 - 
     (77483*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2)/
      16384 + (802459*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]^2)/65536 - 
     (1448609*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2)/
      147456 - (10131973*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]^2)/589824 - (659239*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2)/147456 + 
     (709705*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]^2)/147456 + (16183411*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2)/589824 - 
     (583087*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2)/
      147456 + (360919*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]^2)/196608 + (3593503*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1}, 1 - w]^2)/393216 + (33091*HPL[{1}, 1 - u]^2*
       HPL[{0, 1}, 1 - w]^3)/12288 - (360775*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - w]^3)/589824 - (51811*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - w]^3)/49152 + (1223005*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]^3)/294912 + (2701865*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^3)/589824 - 
     (32039*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^3)/24576 + 
     (3395*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^3)/16384 - 
     (11273*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^3)/24576 + 
     (32243*HPL[{0, 1}, 1 - w]^4)/49152 + 
     (2431*HPL[{1}, 1 - u]^5*HPL[{0, 0, 1}, 1 - u])/3072 - 
     (259*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/2304 - 
     (121361*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u])/
      147456 + (83659*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
       HPL[{0, 0, 1}, 1 - u])/442368 - 
     (844231*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - u])/
      1769472 + (2231*HPL[{1}, 1 - v]^5*HPL[{0, 0, 1}, 1 - u])/36864 + 
     (223465*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/
      147456 + (50983*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/6144 - (2368379*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/294912 - 
     (178555*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/221184 - (926815*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/1769472 - 
     (13331*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u])/4608 - 
     (3802373*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - u])/294912 - (1397611*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u])/36864 + 
     (272437*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u])/
      442368 + (270001*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 1}, 1 - u])/98304 - (3379*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u])/24576 + 
     (472063*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u])/
      589824 - (231161*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*
       HPL[{0, 0, 1}, 1 - u])/589824 + 
     (1181*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - u])/16384 - 
     (15761*HPL[{1}, 1 - w]^5*HPL[{0, 0, 1}, 1 - u])/73728 + 
     (10203*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u])/
      2048 - (204019*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - u])/73728 - (178559*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u])/32768 + 
     (866579*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u])/
      294912 - (48689*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - u])/12288 - (906971*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u])/36864 - 
     (639919*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - u])/294912 - 
     (597755*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - u])/98304 + (506171*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u])/98304 + 
     (100009*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u])/
      32768 - (3243*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 0, 1}, 1 - u])/1024 - (71961*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u])/8192 - 
     (86173*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u])/
      24576 - (371233*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u])/73728 - (2180117*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/221184 - 
     (2423287*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u])/442368 - 
     (281*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/9216 - 
     (92707*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u])/2304 - (329717*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/884736 - 
     (33169*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u])/442368 + 
     (93185*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u])/9216 - (1313941*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/442368 + 
     (2234329*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/
      294912 - (10933*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u])/2048 + (59473*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/49152 - 
     (2017471*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u])/147456 - (30009187*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u])/1769472 + 
     (18453*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u])/
      8192 + (55973*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - u])/110592 - (56021*HPL[{1}, 1 - u]^3*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/9216 - 
     (2523113*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/73728 + (2243411*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/147456 + 
     (686525*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/
      294912 - (909947*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/73728 - (782845*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/98304 - 
     (774101*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/294912 - 
     (77407*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/9216 + (987557*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/294912 - 
     (12511*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/
      18432 - (2851*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/768 - (2091269*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/147456 + 
     (271747*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/49152 - (2360797*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/294912 - 
     (241433*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/49152 + 
     (66619*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/49152 - (559041*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u])/32768 + 
     (996985*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u])/
      147456 + (84115*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - u])/49152 + (23963*HPL[{1}, 1 - u]^2*
       HPL[{0, 0, 1}, 1 - u]^2)/3072 + (52273*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u]^2)/8192 + 
     (215*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]^2)/1152 - 
     (108805*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]^2)/8192 - 
     (19061*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]^2)/8192 + 
     (2665*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]^2)/2048 - 
     (2389*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]^2)/1536 - 
     (7511*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]^2)/4608 + 
     (1895*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]^2)/3072 - 
     (1745*HPL[{1}, 1 - u]^5*HPL[{0, 0, 1}, 1 - v])/8192 + 
     (833645*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/
      442368 + (429707*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - v])/884736 + (81881*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v])/147456 + 
     (19835*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - v])/147456 - 
     (617*HPL[{1}, 1 - v]^5*HPL[{0, 0, 1}, 1 - v])/1536 - 
     (304661*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/
      589824 - (869471*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/221184 - (10723015*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/884736 + 
     (67275*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/8192 + (42587*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/147456 + (269729*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v])/589824 - 
     (29423287*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - v])/884736 - (3439391*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v])/442368 - 
     (161761*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v])/
      147456 + (514219*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 1}, 1 - v])/589824 - 
     (738481*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 1}, 1 - v])/110592 + (368951*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v])/221184 + 
     (16709*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - v])/589824 + 
     (1198567*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - v])/
      884736 - (6095*HPL[{1}, 1 - w]^5*HPL[{0, 0, 1}, 1 - v])/73728 - 
     (1009*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/1024 - 
     (584405*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/110592 - 
     (5963*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/221184 - (577139*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/73728 + 
     (88349*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/294912 - (13948727*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/442368 - (13571941*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/442368 - 
     (46271*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/98304 + (6468625*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/442368 + 
     (74503*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/
      18432 - (35135*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 0, 1}, 1 - v])/49152 - (7461101*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v])/589824 + 
     (364763*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v])/
      147456 + (2190299*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v])/442368 - (146195*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/147456 - 
     (79261*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v])/12288 + (4919*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/3072 + 
     (31279*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v])/221184 - 
     (909131*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/36864 - 
     (65317*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v])/12288 - (233353*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/110592 + 
     (580861*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v])/147456 + (1194329*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/442368 + 
     (2213459*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v])/221184 - 
     (44767*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v])/6144 - (1705837*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/221184 - 
     (132745*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v])/
      18432 - (4163*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - v])/1024 - (132745*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v])/18432 + 
     (262963*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/
      49152 + (3237485*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/221184 - (2016365*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/55296 - 
     (586619*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/
      73728 - (11723*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/294912 - (13687259*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/442368 + (3717863*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/442368 + 
     (33623*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/98304 - (4539143*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/442368 - 
     (2429*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/
      36864 + (36485*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/8192 - (3933619*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/147456 + 
     (25*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/24 - (2701807*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/221184 - 
     (16859*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/2048 + (1217489*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/221184 + 
     (55913*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v])/
      147456 - (10954861*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - v])/589824 + 
     (9875*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v])/
      16384 - (80359*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/9216 - (117665*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/24576 - 
     (31851*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/
      4096 + (169647*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/4096 + (13881443*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/294912 + 
     (1255841*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/
      73728 + (12143*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/18432 - (1597*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/1536 - 
     (840393*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/
      16384 + (147*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]^2)/1024 - 
     (82489*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]^2)/6144 + 
     (731*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]^2)/128 - 
     (44997*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]^2)/4096 - 
     (82489*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]^2)/6144 + 
     (147*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]^2)/1024 - 
     (27*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]^2)/256 - 
     (27*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]^2)/256 - 
     (6151*HPL[{1}, 1 - u]^5*HPL[{0, 0, 1}, 1 - w])/73728 - 
     (42727*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/294912 + 
     (692573*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w])/
      589824 + (819269*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
       HPL[{0, 0, 1}, 1 - w])/884736 - (2097625*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - w])/1769472 + 
     (4601*HPL[{1}, 1 - v]^5*HPL[{0, 0, 1}, 1 - w])/36864 - 
     (94303*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/589824 - 
     (1081*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/1024 - (5884163*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/147456 + 
     (297133*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/110592 - (2288065*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/1769472 + 
     (157871*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w])/
      73728 - (124493*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - w])/16384 - (1059307*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w])/73728 + 
     (1624925*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w])/
      884736 - (311707*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 1}, 1 - w])/73728 + (124433*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w])/12288 - 
     (194143*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w])/
      147456 + (177337*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*
       HPL[{0, 0, 1}, 1 - w])/147456 + 
     (1847*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - w])/9216 + 
     (2431*HPL[{1}, 1 - w]^5*HPL[{0, 0, 1}, 1 - w])/3072 + 
     (8873*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/
      36864 - (13853*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w])/294912 - 
     (547151*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w])/294912 + (1614925*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/294912 - 
     (366347*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w])/36864 - (91023*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/32768 + 
     (1544843*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w])/147456 - (1304069*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/147456 - 
     (5480831*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w])/147456 - (56521*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/9216 + 
     (49625*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w])/
      16384 + (216425*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 0, 1}, 1 - w])/147456 - (1944943*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w])/98304 + 
     (155621*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/
      32768 - (688793*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/221184 + 
     (94349*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/110592 + (10523*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/18432 + 
     (1795061*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/147456 - (1006805*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/884736 - (1257353*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/221184 - 
     (588573*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/16384 - (6512167*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/442368 - 
     (122411*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/
      24576 - (998963*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/147456 + 
     (350261*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/147456 - (3071057*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/294912 + 
     (242149*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w])/
      55296 + (78599*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - w])/24576 - (20926867*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w])/1769472 + 
     (228037*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/
      98304 + (645073*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/294912 - 
     (331069*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/294912 + (1647139*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/294912 - 
     (91865*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/32768 - (368797*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/18432 - 
     (436503*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/32768 - 
     (68117*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/12288 - 
     (87451*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/73728 + (10203*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/2048 + 
     (282317*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/49152 - (2964709*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/147456 - 
     (28903*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/6144 - (1708621*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/147456 + 
     (711299*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/147456 - 
     (1669*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/384 - (70693*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w])/24576 - 
     (77121*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w])/
      8192 - (3243*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - w])/1024 - (180221*HPL[{1}, 1 - u]^2*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/12288 + 
     (8878813*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w])/294912 + (331867*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/18432 + 
     (59469*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w])/4096 + (8507293*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/294912 - 
     (173771*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/
      12288 - (14177*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w])/6144 - (1240363*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/24576 - 
     (7727*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/
      6144 + (1294541*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/73728 + (13509923*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/294912 - 
     (31851*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/
      4096 + (169647*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/4096 - (86705*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/24576 - 
     (170393*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/
      18432 - (823193*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/16384 - (1597*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/1536 - 
     (7207*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/
      18432 + (795*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]^2)/1024 - 
     (19061*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]^2)/8192 + 
     (13115*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]^2)/18432 - 
     (98485*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]^2)/8192 + 
     (41953*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]^2)/8192 + 
     (23963*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]^2)/3072 - 
     (665*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]^2)/1536 - 
     (5347*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]^2)/9216 - 
     (2389*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]^2)/1536 - 
     (3*HPL[{1}, 1 - u]^5*HPL[{0, 1, 1}, 1 - u])/64 + 
     (8425*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/12288 + 
     (9515*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u])/24576 + 
     (3894905*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u])/
      884736 + (2494025*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
       HPL[{0, 1, 1}, 1 - u])/1769472 - 
     (5075*HPL[{1}, 1 - v]^5*HPL[{0, 1, 1}, 1 - u])/18432 - 
     (407*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/9216 + 
     (2993*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/2048 + (4611781*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/294912 - 
     (726857*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/110592 - (648943*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/1769472 + 
     (2251*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u])/1536 + 
     (2008933*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - u])/98304 - (393721*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u])/36864 - 
     (4459829*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u])/
      442368 + (225811*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
       HPL[{0, 1, 1}, 1 - u])/49152 - (652465*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u])/110592 - 
     (16703111*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u])/
      1769472 + (85429*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*
       HPL[{0, 1, 1}, 1 - u])/196608 - 
     (923071*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - u])/
      442368 + (25369*HPL[{1}, 1 - w]^5*HPL[{0, 1, 1}, 1 - u])/73728 + 
     (3*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/16 + 
     (238903*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/73728 - (4064581*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/294912 - 
     (5701675*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/
      294912 + (84491*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/16384 - (7042223*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/147456 - (1156117*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/294912 - 
     (984371*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/98304 - (3281771*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/294912 - 
     (266501*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/
      32768 + (2543*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1, 1}, 1 - u])/2048 - (92305*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u])/6144 - 
     (18333*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u])/
      4096 - (75085*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/36864 - (1282735*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/442368 - 
     (10496383*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/442368 + (507493*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/49152 + 
     (1315705*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/73728 - (6721141*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/442368 - (16538227*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/442368 - 
     (575827*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/36864 - (6286693*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/442368 + 
     (1277083*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/
      294912 + (207731*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/36864 - (223231*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/36864 - 
     (734377*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/49152 + (8559275*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u])/442368 + 
     (504485*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u])/
      32768 - (1234169*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1, 1}, 1 - u])/221184 + (24295*HPL[{1}, 1 - u]^3*
       HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/36864 + 
     (1037351*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/147456 - 
     (310583*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/18432 + (370211*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/98304 + 
     (219955*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/294912 - (6269905*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/147456 - (2035973*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/294912 - 
     (1153237*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/147456 - (11334233*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/294912 + 
     (1524983*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/
      147456 + (594661*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/24576 - (7278335*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/147456 - 
     (414023*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/16384 + (4718461*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/49152 + 
     (2390723*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/147456 + (2288959*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/147456 - 
     (133453*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u])/
      49152 - (2254597*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - u])/294912 - 
     (558737*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u])/
      49152 - (793*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/512 - (203051*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/24576 - 
     (61445*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/
      9216 - (213443*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/12288 + (595883*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/8192 - 
     (13469*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/
      3072 - (13387*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/3072 - (6427*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/2304 - 
     (415*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/
      48 - (10723*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/3072 + (54839*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/12288 - 
     (124127*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/
      8192 - (5621*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/8192 - (249205*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/24576 - 
     (4771*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/
      8192 + (128147*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/12288 - (9003*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/1024 - 
     (40347*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/
      4096 - (55681*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/12288 - (6299*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/8192 - 
     (143573*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/
      36864 + (129785*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/12288 - (2283283*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/49152 + 
     (103149*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/
      8192 + (82873*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/12288 + (13741*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/4608 - 
     (10121*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/
      1536 - (39*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]^2)/512 + 
     (6841*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]^2)/8192 + 
     (4799*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]^2)/3072 + 
     (14657*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]^2)/6144 - 
     (159055*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]^2)/6144 - 
     (24499*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]^2)/6144 - 
     (775*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]^2)/1024 - 
     (14711*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]^2)/1536 - 
     (20187*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]^2)/1024 + 
     (1333*HPL[{1}, 1 - u]^5*HPL[{0, 1, 1}, 1 - v])/8192 - 
     (128473*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/
      442368 + (4489277*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 1}, 1 - v])/884736 - 
     (7487*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - v])/9216 - 
     (1499*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - v])/12288 - 
     (590813*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/
      589824 - (390953*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/221184 + (16147619*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/884736 + 
     (159745*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/73728 - (3395*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/12288 - (2391565*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v])/196608 - 
     (21523123*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - v])/884736 + (3368549*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v])/221184 + 
     (52445*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v])/
      73728 - (6930205*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
       HPL[{0, 1, 1}, 1 - v])/589824 - 
     (279181*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1, 1}, 1 - v])/110592 + (2306995*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v])/442368 - 
     (269443*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - v])/
      589824 - (172133*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
       HPL[{0, 1, 1}, 1 - v])/884736 + (21607*HPL[{1}, 1 - w]^5*
       HPL[{0, 1, 1}, 1 - v])/73728 + (25197*HPL[{1}, 1 - u]^3*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/4096 - 
     (6762707*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/442368 + 
     (268951*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/884736 - 
     (4627*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      36864 - (8832569*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/294912 - (7101145*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/221184 + (1223453*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/110592 - 
     (1602293*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/294912 - (3953293*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/221184 + 
     (896113*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      147456 - (171399*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1, 1}, 1 - v])/32768 - 
     (98857*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v])/
      73728 + (1675549*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1, 1}, 1 - v])/294912 - (3230269*HPL[{1}, 1 - u]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/442368 - 
     (735311*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/73728 + (260131*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/147456 - 
     (1091*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/3072 - 
     (7768549*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/442368 - (4301551*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/73728 + (92803*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/147456 - 
     (8764519*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/442368 - (1168559*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/73728 - 
     (4226239*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/
      442368 - (8098241*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/442368 - 
     (17349*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/8192 - (3079859*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/110592 - 
     (352807*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v])/
      36864 - (1897*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1, 1}, 1 - v])/1024 - (352807*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v])/36864 + 
     (452233*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/
      73728 - (4755137*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/442368 + (5813657*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/442368 + 
     (13385*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/
      36864 - (3017779*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/294912 - (5062159*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/221184 - (10468895*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/884736 - 
     (10362625*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/294912 - (3322015*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/221184 + 
     (53635*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/
      9216 - (4693*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/8192 + (7340603*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/73728 + 
     (152285*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/12288 - (296879*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/27648 + 
     (36265*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/24576 - (528869*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/442368 + 
     (4022809*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v])/
      294912 + (1560679*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - v])/73728 - (1006373*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v])/98304 + 
     (322457*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      36864 - (4111*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/6144 - (5283*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/4096 - 
     (825369*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/16384 - (29633*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/12288 + 
     (8551*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      73728 - (45893*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/9216 - (18109*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/6144 - 
     (352787*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      36864 - (6813*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/1024 - (653945*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/24576 + 
     (905399*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/12288 - (653945*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/24576 - 
     (6813*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/
      1024 - (4345*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/1024 - (4345*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/1024 + 
     (47251*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/
      73728 - (14153*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/12288 - (5283*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/4096 - 
     (825369*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/16384 - (11851*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/6144 + 
     (303107*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/
      36864 - (499847*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/36864 - (18109*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/6144 - 
     (1141*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/
      1152 - (26741*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/3072 + (146649*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/4096 - 
     (457295*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      49152 + (5321305*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/73728 + (3723761*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/36864 - 
     (77287*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      24576 + (7023619*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/49152 + (2410307*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/49152 + 
     (1646699*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      9216 + (17233*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]^2)/3072 - 
     (73063*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]^2)/24576 - 
     (14659*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]^2)/1536 - 
     (73063*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]^2)/24576 + 
     (17233*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]^2)/3072 - 
     (34499*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]^2)/3072 - 
     (34499*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]^2)/3072 + 
     (34979*HPL[{1}, 1 - u]^5*HPL[{0, 1, 1}, 1 - w])/73728 - 
     (2038097*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/
      884736 - (15960365*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 1}, 1 - w])/1769472 - (8685871*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w])/884736 - 
     (1819753*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - w])/
      1769472 - (1945*HPL[{1}, 1 - v]^5*HPL[{0, 1, 1}, 1 - w])/9216 + 
     (762169*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/
      589824 - (1876745*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/221184 - (1246715*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/147456 - 
     (1451635*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/221184 + (1596239*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/1769472 + 
     (1934099*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w])/
      294912 + (2168665*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - w])/147456 + (1539815*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w])/73728 + 
     (322897*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w])/
      110592 + (205843*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
       HPL[{0, 1, 1}, 1 - w])/73728 - (1503*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w])/4096 + 
     (4097*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w])/4608 + 
     (619*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - w])/2304 + 
     (1527*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - w])/4096 - 
     (3*HPL[{1}, 1 - w]^5*HPL[{0, 1, 1}, 1 - w])/64 + 
     (492017*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/
      49152 - (3907129*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/98304 - (3691343*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/294912 + 
     (2193977*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/
      294912 - (1685129*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/147456 - (5588089*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/147456 - (252953*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/18432 - 
     (1764427*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/294912 + 
     (825557*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/73728 - (20449*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/36864 - 
     (268275*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w])/
      16384 + (4515163*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1, 1}, 1 - w])/294912 + 
     (78607*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w])/
      16384 + (93271*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/32768 - (3629093*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/221184 - 
     (6658859*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/221184 + (506717*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/49152 - 
     (2821471*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/147456 - (10722037*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/442368 - (3386945*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/221184 + 
     (271693*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/16384 + (102767*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/110592 - 
     (30341*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/
      36864 + (5309051*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/147456 - 
     (157181*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/147456 + (15504877*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/147456 - 
     (5117567*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w])/
      221184 + (1160207*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1, 1}, 1 - w])/98304 + (1187327*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w])/442368 - 
     (880517*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/
      98304 - (4155211*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/294912 - 
     (847267*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/294912 - (4894043*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/294912 - 
     (1159379*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/98304 - (7719731*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/147456 - (2184541*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/294912 + 
     (110395*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/16384 + (122335*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/73728 + 
     (3*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/16 - 
     (256809*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/16384 - (3959263*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/147456 + 
     (431401*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/24576 - (1125587*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/49152 - 
     (1113323*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/36864 + (452621*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/36864 - 
     (16505*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w])/
      4096 - (95047*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - w])/6144 + (2543*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w])/2048 + 
     (98849*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/
      8192 - (2239411*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/49152 - (137933*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/36864 + 
     (103337*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/12288 + (4021*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/8192 - 
     (17037*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/
      4096 - (7987*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/3072 - (8069*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/4608 + 
     (30671*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/
      4096 - (5173*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/24576 - (271141*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/24576 - 
     (124127*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/
      8192 - (5621*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/8192 + (65807*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/12288 - 
     (23731*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/
      6144 - (111901*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/12288 - (9003*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/1024 + 
     (39669*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/
      4096 - (169*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/32 + (595883*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/8192 - 
     (13295*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/
      2304 - (217955*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/12288 - (194027*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/24576 - 
     (793*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/
      512 - (2765*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/512 - (27809*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/4608 - 
     (13387*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/
      3072 - (812507*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/49152 + (7789267*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/73728 - 
     (123149*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/
      36864 + (362687*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/6144 + (7855075*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/73728 - 
     (794227*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/
      49152 + (3116107*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/24576 + (361379*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/3072 + 
     (3046643*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/
      24576 - (68147*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/24576 + (3756665*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/36864 - 
     (457295*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/
      49152 + (5321305*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/73728 + (142993*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/4096 - 
     (18589*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/
      2048 + (810325*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/4608 + (2410307*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/49152 + 
     (7162547*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/
      49152 - (279*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]^2)/64 - 
     (159055*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]^2)/6144 + 
     (3961*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]^2)/2048 + 
     (9173*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]^2)/6144 + 
     (14153*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]^2)/8192 - 
     (39*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]^2)/512 - 
     (25939*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]^2)/1536 - 
     (38105*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]^2)/3072 - 
     (775*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]^2)/1024 + 
     (367*HPL[{1}, 1 - u]^4*HPL[{0, 0, 0, 1}, 1 - u])/384 + 
     (7117*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/
      36864 + (1462865*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 0, 1}, 1 - u])/98304 + 
     (85943*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - u])/
      36864 - (3317*HPL[{1}, 1 - v]^4*HPL[{0, 0, 0, 1}, 1 - u])/24576 + 
     (12075*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      8192 - (2362873*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/49152 - 
     (300751*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/18432 + 
     (6643*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      24576 + (1251379*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 1}, 1 - u])/98304 - 
     (190211*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 1}, 1 - u])/16384 - 
     (281861*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u])/
      73728 + (5781*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 0, 1}, 1 - u])/8192 - 
     (3269*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - u])/4608 + 
     (65*HPL[{1}, 1 - w]^4*HPL[{0, 0, 0, 1}, 1 - u])/6144 + 
     (30229*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u])/
      6144 - (36317*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - u])/4096 - 
     (4153*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u])/
      1024 + (48227*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - u])/4096 - 
     (189845*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - u])/12288 + 
     (1675*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u])/
      6144 - (32815*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - u])/6144 - 
     (290723*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/
      36864 - (477581*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - u])/36864 + 
     (84967*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/
      12288 - (62361*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - u])/4096 - 
     (573137*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - u])/36864 + 
     (431*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/36 + 
     (4325*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/
      6144 + (1277*HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - u])/12288 - 
     (35659*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      4096 - (65939*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/4096 + 
     (18373*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      4096 - (132971*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/12288 - 
     (120719*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/12288 + 
     (4027*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      512 - (41791*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/12288 + 
     (2705*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      256 - (1431*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u])/1024 + 
     (10023*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u])/
      512 + (7035*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - u])/2048 + 
     (7295*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u])/
      6144 - (8403*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - u])/1024 + 
     (2449*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/
      3072 + (9487*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - u])/1024 - 
     (74741*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      6144 + (63971*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/6144 + 
     (18827*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      3072 - (1129*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - u])/512 - 
     (5341*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u])/
      2048 + (17927*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - u])/6144 + 
     (35159*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/
      6144 - (3303*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - u])/256 - 
     (3251*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/
      512 + (68599*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/4096 - 
     (35105*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      6144 - (7425*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/512 + (29323*HPL[{0, 0, 0, 1}, 1 - u]^2)/
      3072 - (37*HPL[{1}, 1 - u]^4*HPL[{0, 0, 0, 1}, 1 - v])/512 + 
     (20765*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/
      8192 + (1379359*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 0, 1}, 1 - v])/147456 + 
     (47119*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - v])/
      73728 - (617*HPL[{1}, 1 - v]^4*HPL[{0, 0, 0, 1}, 1 - v])/1536 - 
     (847*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/4096 - 
     (180265*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v])/16384 - 
     (1986035*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v])/36864 + 
     (35743*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/
      73728 - (182149*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 1}, 1 - v])/24576 - 
     (721841*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 1}, 1 - v])/49152 + 
     (1613521*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v])/
      147456 + (19367*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 0, 1}, 1 - v])/24576 + 
     (24749*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - v])/
      12288 + (739*HPL[{1}, 1 - w]^4*HPL[{0, 0, 0, 1}, 1 - v])/3072 + 
     (69559*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/
      12288 - (2483*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - v])/512 - (32123*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/3072 - 
     (80317*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - v])/4096 - (4679*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/256 + 
     (64081*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/
      6144 + (2537*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - v])/12288 + 
     (21373*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/
      4096 + (23771*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - v])/1152 + 
     (455*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/
      256 - (5089*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - v])/6144 + 
     (89855*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - v])/4608 - 
     (2279*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/
      12288 - (14435*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - v])/12288 - 
     (1231*HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - v])/512 + 
     (159047*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/
      12288 - (4289*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v])/384 - (32123*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/3072 - 
     (1517*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v])/64 - (18367*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/1536 + 
     (88987*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/
      12288 + (27*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v])/4 - (14435*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/12288 + 
     (2537*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v])/12288 - 
     (6743*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/
      3072 - (36097*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - v])/6144 + 
     (25001*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/
      6144 + (85*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - v])/32 + 
     (2693*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/
      256 + (85*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - v])/32 + 
     (32741*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/
      6144 - (36097*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v])/6144 - 
     (10613*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/
      3072 - (7837*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - v])/512 + 
     (125231*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/
      12288 + (12863*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - v])/2048 + 
     (1115*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/
      768 + (1115*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - v])/768 + 
     (14691*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/
      2048 + (125231*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v])/12288 - 
     (4147*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/
      256 - (10513*HPL[{0, 0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/6144 + 
     (1231*HPL[{0, 0, 0, 1}, 1 - v]^2)/256 + 
     (1987*HPL[{1}, 1 - u]^4*HPL[{0, 0, 0, 1}, 1 - w])/6144 - 
     (113759*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/
      73728 - (126389*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 0, 1}, 1 - w])/73728 - 
     (2261*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - w])/1536 + 
     (475*HPL[{1}, 1 - v]^4*HPL[{0, 0, 0, 1}, 1 - w])/24576 + 
     (6185*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/3072 - 
     (841547*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/49152 - 
     (775963*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/73728 + 
     (54805*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/
      73728 + (1379927*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 1}, 1 - w])/98304 - 
     (2452741*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 1}, 1 - w])/49152 + 
     (1514053*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w])/
      98304 + (43913*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 0, 1}, 1 - w])/24576 - 
     (4415*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - w])/
      36864 + (367*HPL[{1}, 1 - w]^4*HPL[{0, 0, 0, 1}, 1 - w])/384 + 
     (9673*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w])/
      1024 - (227491*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - w])/12288 + 
     (142463*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w])/
      12288 - (10241*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - w])/768 - (13911*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w])/1024 - 
     (35659*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w])/
      4096 - (1431*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - w])/1024 + 
     (121075*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/
      18432 - (415775*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w])/36864 + 
     (98911*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/
      12288 - (253481*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w])/12288 - 
     (278387*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w])/36864 - 
     (290723*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/
      36864 + (2705*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w])/256 + (1277*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 0, 0, 1}, 1 - w])/12288 - 
     (27535*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/
      12288 - (7697*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/384 + 
     (9377*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/
      3072 + (54703*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/4096 - 
     (42793*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/4096 + 
     (30229*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/
      6144 - (41791*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/12288 + 
     (4325*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/
      6144 - (32815*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w])/6144 + 
     (14957*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w])/
      3072 + (71711*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - w])/6144 - 
     (74741*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w])/
      6144 + (9487*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w])/1024 + 
     (2449*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/
      3072 - (8403*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w])/1024 - 
     (445*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/
      6144 + (9615*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/2048 + 
     (10023*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/
      512 - (3941*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - w])/256 - 
     (29621*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w])/
      6144 + (68599*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - w])/4096 - 
     (3251*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/
      512 - (3303*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w])/256 + 
     (35159*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/
      6144 + (12443*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/6144 - 
     (3513*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/
      2048 - (1129*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/512 + (5461*HPL[{0, 0, 0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - w])/512 - (10513*HPL[{0, 0, 0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w])/6144 + (29323*HPL[{0, 0, 0, 1}, 1 - w]^2)/
      3072 + (29*HPL[{1}, 1 - u]^4*HPL[{0, 0, 1, 1}, 1 - u])/768 - 
     (3257*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/
      24576 + (7907*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1, 1}, 1 - u])/16384 + 
     (62047*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - u])/
      24576 - (889*HPL[{1}, 1 - v]^4*HPL[{0, 0, 1, 1}, 1 - u])/4096 - 
     (154133*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      73728 - (4523567*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/147456 - 
     (992899*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/24576 + 
     (289147*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      73728 + (143093*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 1}, 1 - u])/24576 - 
     (405745*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 1}, 1 - u])/24576 - 
     (444071*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u])/
      73728 - (850837*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 1, 1}, 1 - u])/73728 + 
     (19687*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - u])/
      9216 - (1197*HPL[{1}, 1 - w]^4*HPL[{0, 0, 1, 1}, 1 - u])/1024 + 
     (569*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/
      1024 - (66997*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - u])/16384 - 
     (55315*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/
      4096 - (215957*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - u])/12288 - 
     (794509*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - u])/49152 + 
     (4695*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/
      2048 - (423*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - u])/256 - 
     (48637*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/
      6144 - (2336783*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - u])/49152 - 
     (183061*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/
      24576 + (215185*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - u])/18432 + 
     (38969*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - u])/6144 + (1083199*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/73728 - 
     (1201*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/
      1024 - (123*HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - u])/256 - 
     (42497*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      12288 - (70939*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/4096 - 
     (392087*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      24576 - (441931*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/12288 + 
     (67733*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/2048 - 
     (16851*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      8192 + (5663*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/6144 + 
     (73*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      384 + (93*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u])/512 - 
     (475*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/
      512 - (479*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - u])/128 + 
     (8185*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/
      1536 - (10885*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - u])/4096 + 
     (1887*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/
      1024 - (1007*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - u])/768 - 
     (51851*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      12288 - (1077*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/512 + 
     (1897*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      1536 + (383*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - u])/512 + 
     (1181*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/
      256 - (1797*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - u])/512 + (1584767*HPL[{1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/24576 + 
     (133849*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/
      12288 - (24431*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - u])/4096 + 
     (1155575*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      12288 - (118069*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/12288 + 
     (24615*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      4096 + (143*HPL[{0, 0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/64 + 
     (505*HPL[{0, 0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/512 - 
     (167*HPL[{0, 0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/256 + 
     (399*HPL[{0, 0, 1, 1}, 1 - u]^2)/128 - 
     (1737*HPL[{1}, 1 - u]^4*HPL[{0, 0, 1, 1}, 1 - v])/1024 + 
     (11543*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v])/
      18432 - (615175*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1, 1}, 1 - v])/147456 + 
     (4529*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - v])/4096 - 
     (79*HPL[{1}, 1 - v]^4*HPL[{0, 0, 1, 1}, 1 - v])/512 + 
     (37453*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/
      12288 - (849893*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/36864 - 
     (12279*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/512 + 
     (1369*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/4096 - 
     (384041*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v])/
      24576 - (3057631*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 1}, 1 - v])/73728 + 
     (555635*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v])/
      147456 + (65717*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 1, 1}, 1 - v])/8192 - 
     (145783*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - v])/
      73728 - (203*HPL[{1}, 1 - w]^4*HPL[{0, 0, 1, 1}, 1 - v])/1536 - 
     (55459*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/
      6144 - (933077*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - v])/49152 - 
     (131513*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/
      12288 + (56543*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - v])/4096 - 
     (195631*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - v])/12288 - 
     (2875*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/
      4096 - (HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - v])/16 + 
     (72875*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v])/
      4608 - (41893*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - v])/49152 - 
     (581*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v])/
      512 - (4309301*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - v])/73728 - 
     (320773*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - v])/49152 - 
     (206485*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v])/
      18432 - (22027*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - v])/6144 + 
     (6075*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/
      512 + (80363*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/4096 - 
     (131513*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/
      12288 - (1707*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/256 - 
     (893319*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/16384 - 
     (6889*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/
      6144 - (HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/
      64 - (22027*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/6144 - 
     (HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v])/16 + 
     (10031*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/
      1536 - (11573*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - v])/3072 - 
     (4049*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/
      768 - (3*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 
        1 - v])/4 - (3*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - v])/4 + (1577*HPL[{1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/1536 - 
     (11573*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/
      3072 + (89*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/384 + 
     (32527*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/
      3072 + (1988519*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - v])/24576 - 
     (23089*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/
      3072 + (401*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - v])/128 + 
     (401*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v])/
      128 - (9379*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/3072 + 
     (1988519*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/
      24576 + (18817*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/3072 + (321915*HPL[{0, 0, 1, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - v])/8192 + 
     (607*HPL[{1}, 1 - u]^4*HPL[{0, 0, 1, 1}, 1 - w])/1536 - 
     (149779*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/
      73728 + (333289*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1, 1}, 1 - w])/73728 - 
     (176569*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - w])/
      36864 + (2271*HPL[{1}, 1 - v]^4*HPL[{0, 0, 1, 1}, 1 - w])/4096 - 
     (184391*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/
      36864 - (180505*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/4096 - 
     (70291*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/6144 - 
     (4159*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/768 + 
     (151889*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w])/
      12288 - (5871587*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 1}, 1 - w])/147456 + 
     (151691*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w])/
      49152 - (38813*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 1, 1}, 1 - w])/73728 - 
     (13899*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - w])/
      8192 + (29*HPL[{1}, 1 - w]^4*HPL[{0, 0, 1, 1}, 1 - w])/768 + 
     (47909*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w])/
      8192 - (63731*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - w])/6144 + 
     (160451*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w])/
      8192 - (149089*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - w])/3072 - (2433*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w])/512 - 
     (42497*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w])/
      12288 + (93*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - w])/512 - 
     (908741*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/
      73728 + (21263*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/768 - (43621*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/24576 - 
     (17675*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/1152 - 
     (1008823*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/49152 - 
     (48637*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/
      6144 + (73*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/384 - (123*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 0, 1, 1}, 1 - w])/256 - (42085*HPL[{1}, 1 - u]^2*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/4096 - 
     (1923689*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/49152 + 
     (270775*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/
      12288 - (118817*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/12288 - 
     (196517*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/16384 + 
     (569*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/
      1024 + (5663*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/6144 - 
     (1201*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/
      1024 - (423*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w])/256 - 
     (3889*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w])/
      768 + (537*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - w])/128 - 
     (51851*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w])/
      12288 - (1007*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/768 + 
     (1887*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/
      1024 - (10885*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/4096 - 
     (745*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/
      768 + (1309*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/512 - 
     (475*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/
      512 + (6335*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - w])/4096 - 
     (63229*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w])/
      12288 + (1155575*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - w])/12288 - 
     (24431*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/
      4096 + (133849*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/12288 + 
     (1584767*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/
      24576 - (2041*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/256 + 
     (4647*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/
      512 + (383*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/512 - (167*HPL[{0, 0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - w])/256 + (505*HPL[{0, 0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/512 + (143*HPL[{0, 0, 0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/64 + (258265*HPL[{0, 0, 1, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - w])/4096 + (321915*HPL[{0, 0, 1, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/8192 + (399*HPL[{0, 0, 1, 1}, 1 - w]^2)/
      128 - (5357*HPL[{1}, 1 - u]^4*HPL[{0, 1, 1, 1}, 1 - u])/6144 - 
     (40529*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/
      24576 + (31097*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 1, 1}, 1 - u])/24576 - 
     (68221*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - u])/
      24576 + (2641*HPL[{1}, 1 - v]^4*HPL[{0, 1, 1, 1}, 1 - u])/4096 - 
     (42259*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/
      49152 + (38233*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/12288 + 
     (616207*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/49152 + 
     (11663*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/
      12288 - (22081*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1, 1}, 1 - u])/8192 + 
     (18241*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1, 1}, 1 - u])/2048 + (2544257*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u])/196608 + 
     (56849*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - u])/
      12288 + (45631*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1, 1, 1}, 1 - u])/6144 - 
     (245*HPL[{1}, 1 - w]^4*HPL[{0, 1, 1, 1}, 1 - u])/192 - 
     (27945*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u])/
      4096 - (8797*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u])/3072 + (5842961*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u])/98304 + 
     (164105*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u])/24576 + 
     (2166853*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u])/24576 + 
     (1132035*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u])/
      32768 + (28179*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - u])/4096 + 
     (395747*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/
      24576 + (88405*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/3072 - (8270347*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/98304 + 
     (101689*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/8192 + 
     (187147*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/8192 - 
     (740377*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/
      24576 - (439*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/128 - (192077*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1, 1, 1}, 1 - u])/8192 + 
     (58837*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/
      4096 + (88147*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/3072 - 
     (43937*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/
      24576 + (192139*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/12288 + 
     (2805709*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/49152 - 
     (366335*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/
      4096 + (67915*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/8192 + (710297*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/6144 - 
     (37297*HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u])/2048 - 
     (26785*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u])/
      1024 - (186799*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u])/8192 + 
     (17167*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u])/
      2048 + (25571*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/2048 + 
     (72773*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/
      2048 - (14731*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/1536 + 
     (65679*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/
      4096 - (93577*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/12288 + 
     (236293*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/
      8192 + (3883*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u])/1024 + 
     (22755*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u])/
      4096 - (20919*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u])/4096 - 
     (25531*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/
      12288 - (933403*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/24576 - 
     (54711*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/
      4096 - (78983*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/3072 - 
     (833433*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/
      8192 - (334627*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/8192 - (31471*HPL[{0, 0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u])/1024 + (3525*HPL[{0, 0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/2048 - (1555*HPL[{0, 0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/128 + (91*HPL[{0, 0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u])/128 + (259*HPL[{0, 0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/256 - (367*HPL[{0, 0, 1, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/32 + (88793*HPL[{0, 1, 1, 1}, 1 - u]^2)/
      4096 - (1613*HPL[{1}, 1 - u]^4*HPL[{0, 1, 1, 1}, 1 - v])/2048 - 
     (15281*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/
      8192 + (40613*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 1, 1}, 1 - v])/24576 - 
     (19279*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - v])/
      49152 + (617*HPL[{1}, 1 - v]^4*HPL[{0, 1, 1, 1}, 1 - v])/1024 - 
     (92675*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/
      12288 + (255527*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/49152 + 
     (30677*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/8192 + 
     (3473*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/
      49152 + (4152653*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1, 1}, 1 - v])/98304 + 
     (798665*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1, 1}, 1 - v])/49152 - 
     (19117*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v])/
      6144 - (258697*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1, 1, 1}, 1 - v])/24576 - 
     (621*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - v])/2048 - 
     (3535*HPL[{1}, 1 - w]^4*HPL[{0, 1, 1, 1}, 1 - v])/2048 - 
     (2808311*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/
      32768 + (127493*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - v])/12288 + 
     (142425*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/
      8192 + (1084799*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - v])/16384 + 
     (843793*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - v])/24576 - 
     (94343*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/
      3072 - (147537*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - v])/8192 + 
     (48829*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/
      8192 + (364435*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v])/24576 - 
     (1365*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/
      512 + (119923*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v])/768 + 
     (448099*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v])/24576 + 
     (181625*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/
      8192 - (97439*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v])/8192 + (3693*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1, 1, 1}, 1 - v])/1024 - 
     (470027*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/
      12288 + (319729*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/24576 + 
     (142425*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/
      8192 + (1286051*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/16384 + 
     (389525*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/12288 - 
     (2963735*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/
      32768 + (30621*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/256 - (97439*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/8192 - 
     (147537*HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v])/8192 + 
     (300575*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/
      8192 + (23369*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - v])/4096 - 
     (6995*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/
      4096 + (337167*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v])/8192 - 
     (8079*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/
      512 + (337167*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v])/8192 - 
     (22475*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/
      4096 + (23369*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/4096 + 
     (331535*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/
      8192 - (128633*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - v])/4096 - 
     (180739*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/
      12288 - (2684303*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - v])/24576 - 
     (535*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/
      512 - (535*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v])/512 - (2750111*HPL[{1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/24576 - 
     (180739*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/
      12288 - (117665*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/4096 - (1639*HPL[{0, 0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - v])/2048 - (3693*HPL[{0, 0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v])/256 - (1639*HPL[{0, 0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/2048 - (69*HPL[{0, 0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - v])/1024 - (69*HPL[{0, 0, 1, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/1024 + (6404263*HPL[{0, 1, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - v])/16384 + (11079*HPL[{0, 1, 1, 1}, 1 - v]^2)/
      1024 - (6803*HPL[{1}, 1 - u]^4*HPL[{0, 1, 1, 1}, 1 - w])/3072 + 
     (243979*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/
      24576 + (1300481*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 1, 1}, 1 - w])/196608 + 
     (151783*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - w])/
      24576 + (745*HPL[{1}, 1 - v]^4*HPL[{0, 1, 1, 1}, 1 - w])/4096 + 
     (17287*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/
      24576 + (208421*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/8192 - 
     (237875*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/49152 + 
     (12215*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/
      6144 - (27109*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1, 1}, 1 - w])/4096 + 
     (52817*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1, 1}, 1 - w])/6144 - 
     (3647*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w])/
      12288 - (88387*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1, 1, 1}, 1 - w])/49152 - 
     (17465*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - w])/
      24576 - (5357*HPL[{1}, 1 - w]^4*HPL[{0, 1, 1, 1}, 1 - w])/6144 - 
     (385763*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w])/
      4096 + (4086973*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/49152 - 
     (568001*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w])/
      24576 + (142397*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/6144 + 
     (259933*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/12288 + 
     (58837*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w])/
      4096 - (37297*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - w])/2048 - 
     (341989*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/
      24576 + (82239*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/8192 - (8605003*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/98304 + 
     (234485*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/8192 + 
     (77213*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/6144 + 
     (395747*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/
      24576 + (710297*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/6144 - (192077*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1, 1, 1}, 1 - w])/8192 + (1379115*HPL[{1}, 1 - u]^2*
       HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/32768 + 
     (2505607*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/24576 + 
     (3746705*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/
      98304 + (47537*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/24576 + 
     (2887*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/1536 - 
     (27945*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/
      4096 + (67915*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/8192 - 
     (439*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/
      128 + (28179*HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w])/4096 + 
     (267253*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w])/
      8192 - (140017*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/12288 + 
     (65679*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w])/
      4096 - (14731*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/1536 + 
     (72773*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/
      2048 + (25571*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/2048 + 
     (24907*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/
      2048 - (217759*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/8192 - 
     (26785*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/
      1024 - (312691*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/8192 - 
     (855369*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w])/
      8192 - (78983*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/3072 - 
     (54711*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/
      4096 - (933403*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/24576 - 
     (25531*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/
      12288 - (9951*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/4096 + 
     (11787*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/
      4096 + (3883*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/1024 - (1555*HPL[{0, 0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/128 + (3525*HPL[{0, 0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/2048 - (31471*HPL[{0, 0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/1024 - (367*HPL[{0, 0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/32 + (259*HPL[{0, 0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/256 + (91*HPL[{0, 0, 1, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/128 + (3530643*HPL[{0, 1, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/8192 + (6404263*HPL[{0, 1, 1, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/16384 + (88793*HPL[{0, 1, 1, 1}, 1 - w]^2)/
      4096 + (4753*HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 0, 1}, 1 - u])/3072 - 
     (56939*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u])/
      36864 - (437873*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 0, 0, 1}, 1 - u])/73728 - 
     (1417*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 0, 1}, 1 - u])/3072 - 
     (557791*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u])/
      24576 + (192163*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 0, 1}, 1 - u])/36864 + 
     (98371*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u])/
      73728 - (194521*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 0, 1}, 1 - u])/24576 + 
     (425*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - u])/
      4608 + (341*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 0, 1}, 1 - u])/384 - 
     (285*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u])/
      1024 - (70273*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 0, 1}, 1 - u])/12288 - 
     (42577*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u])/
      12288 - (108085*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 0, 1}, 1 - u])/18432 - 
     (283*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u])/
      512 - (135385*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 0, 1}, 1 - u])/18432 - 
     (45433*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u])/
      12288 - (77681*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 0, 1}, 1 - u])/12288 + 
     (323*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u])/
      1024 + (1469*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u])/1536 - 
     (11*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u])/256 - 
     (6665*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u])/3072 - 
     (1429*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u])/512 - 
     (457*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u])/256 + 
     (121*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u])/512 + 
     (2527*HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 0, 1}, 1 - v])/3072 - 
     (14909*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      2304 - (2443925*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 0, 0, 1}, 1 - v])/73728 - 
     (617*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 0, 1}, 1 - v])/1536 + 
     (22535*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      24576 - (300787*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 0, 1}, 1 - v])/18432 - 
     (2443925*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      73728 + (22535*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 0, 1}, 1 - v])/24576 - 
     (14909*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      2304 + (2527*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 0, 1}, 1 - v])/3072 + 
     (759*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      1024 - (96193*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 0, 1}, 1 - v])/12288 - 
     (29281*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      12288 - (106897*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 0, 1}, 1 - v])/18432 - 
     (735*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      512 - (106897*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 0, 1}, 1 - v])/18432 - 
     (29281*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      12288 - (96193*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 0, 1}, 1 - v])/12288 + 
     (759*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      1024 - (2851*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v])/1536 - 
     (2851*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v])/1536 - 
     (661*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v])/512 - 
     (661*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v])/512 + 
     (341*HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 0, 1}, 1 - w])/384 + 
     (425*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w])/
      4608 + (98371*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 0, 0, 1}, 1 - w])/73728 - 
     (1417*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 0, 1}, 1 - w])/3072 - 
     (194521*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w])/
      24576 + (192163*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 0, 1}, 1 - w])/36864 - 
     (437873*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w])/
      73728 - (557791*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 0, 1}, 1 - w])/24576 - 
     (56939*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - w])/
      36864 + (4753*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 0, 1}, 1 - w])/3072 + 
     (323*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w])/
      1024 - (77681*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 0, 1}, 1 - w])/12288 - 
     (45433*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w])/
      12288 - (135385*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 0, 1}, 1 - w])/18432 - 
     (283*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w])/
      512 - (108085*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 0, 1}, 1 - w])/18432 - 
     (42577*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w])/
      12288 - (70273*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 0, 1}, 1 - w])/12288 - 
     (285*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w])/
      1024 - (6665*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w])/3072 - 
     (11*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w])/256 + 
     (1469*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w])/1536 + 
     (121*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w])/512 - 
     (457*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w])/256 - 
     (1429*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w])/512 - 
     (12829*HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1, 1}, 1 - u])/3072 - 
     (1070491*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u])/
      73728 - (3725*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 0, 1, 1}, 1 - u])/4608 + 
     (17705*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1, 1}, 1 - u])/2048 - 
     (127713*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u])/
      4096 + (4583083*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1, 1}, 1 - u])/36864 - 
     (2174315*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u])/
      73728 - (40093*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 1, 1}, 1 - u])/6144 - 
     (1119395*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - u])/
      36864 + (17173*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1, 1}, 1 - u])/3072 - 
     (2495*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u])/
      1024 + (455525*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1, 1}, 1 - u])/12288 + 
     (145397*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u])/
      12288 + (577427*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1, 1}, 1 - u])/18432 + 
     (23887*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u])/
      6144 + (566429*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1, 1}, 1 - u])/18432 + 
     (180557*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u])/
      12288 + (592639*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1, 1}, 1 - u])/12288 - 
     (12209*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u])/
      768 + (12983*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u])/1536 + 
     (1381*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u])/1024 + 
     (1489*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u])/192 + 
     (5097*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u])/512 + 
     (10389*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u])/512 + 
     (86459*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u])/3072 + 
     (27673*HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1, 1}, 1 - v])/6144 - 
     (869435*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v])/
      36864 - (4179095*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 0, 1, 1}, 1 - v])/73728 + 
     (3085*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1, 1}, 1 - v])/1536 - 
     (181135*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v])/
      8192 + (2046155*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1, 1}, 1 - v])/18432 - 
     (4179095*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v])/
      73728 - (181135*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 1, 1}, 1 - v])/8192 - 
     (869435*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - v])/
      36864 + (27673*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1, 1}, 1 - v])/6144 - 
     (87383*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v])/
      6144 + (484013*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1, 1}, 1 - v])/12288 + 
     (191047*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v])/
      12288 + (578549*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1, 1}, 1 - v])/18432 + 
     (3675*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v])/
      512 + (578549*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1, 1}, 1 - v])/18432 + 
     (191047*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v])/
      12288 + (484013*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1, 1}, 1 - v])/12288 - 
     (87383*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v])/
      6144 + (9239*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v])/1536 + 
     (9239*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v])/1536 + 
     (18667*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v])/512 + 
     (18667*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v])/512 + 
     (17173*HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1, 1}, 1 - w])/3072 - 
     (1119395*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      36864 - (2174315*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 0, 1, 1}, 1 - w])/73728 + 
     (17705*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1, 1}, 1 - w])/2048 - 
     (40093*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      6144 + (4583083*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1, 1}, 1 - w])/36864 - 
     (3725*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      4608 - (127713*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 1, 1}, 1 - w])/4096 - 
     (1070491*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      73728 - (12829*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1, 1}, 1 - w])/3072 - 
     (12209*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      768 + (592639*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1, 1}, 1 - w])/12288 + 
     (180557*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      12288 + (566429*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1, 1}, 1 - w])/18432 + 
     (23887*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      6144 + (577427*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1, 1}, 1 - w])/18432 + 
     (145397*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      12288 + (455525*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1, 1}, 1 - w])/12288 - 
     (2495*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      1024 + (1489*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w])/192 + 
     (1381*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w])/1024 + 
     (12983*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w])/1536 + 
     (86459*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w])/3072 + 
     (10389*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w])/512 + 
     (5097*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w])/512 - 
     (15*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 0, 1}, 1 - u])/8 - 
     (562421*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      98304 + (82795*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1, 0, 1}, 1 - u])/49152 + 
     (59795*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 0, 1}, 1 - u])/12288 - 
     (1116685*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      49152 + (4662803*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 0, 1}, 1 - u])/98304 - 
     (3963*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      256 - (35941*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 
        1 - u])/16384 - (764675*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 0, 1}, 1 - u])/49152 + 
     (2637*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 0, 1}, 1 - u])/1024 - 
     (987*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      512 + (46537*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 0, 1}, 1 - u])/2048 + 
     (66559*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      8192 + (18285*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 0, 1}, 1 - u])/1024 + 
     (41347*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      12288 + (25753*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 0, 1}, 1 - u])/1536 + 
     (91255*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      12288 + (354713*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 0, 1}, 1 - u])/12288 - 
     (51971*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      6144 + (1003*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u])/256 + 
     (1391*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u])/2048 + 
     (2525*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u])/512 + 
     (2233*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u])/512 + 
     (8571*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u])/1024 + 
     (45781*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u])/3072 + 
     (7809*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 0, 1}, 1 - v])/4096 - 
     (76381*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      8192 - (2753713*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1, 0, 1}, 1 - v])/98304 + 
     (555*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 0, 1}, 1 - v])/512 - 
     (195697*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      16384 + (1201313*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 0, 1}, 1 - v])/49152 - 
     (2753713*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      98304 - (195697*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 0, 1}, 1 - v])/16384 - 
     (76381*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      8192 + (7809*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 0, 1}, 1 - v])/4096 - 
     (86213*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      12288 + (266011*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 0, 1}, 1 - v])/12288 + 
     (39169*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      4096 + (464069*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 0, 1}, 1 - v])/24576 + 
     (987*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      256 + (464069*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 0, 1}, 1 - v])/24576 + 
     (39169*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      4096 + (266011*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 0, 1}, 1 - v])/12288 - 
     (86213*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      12288 + (133*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v])/32 + 
     (133*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v])/32 + 
     (583*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v])/32 + 
     (583*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v])/32 + 
     (2637*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 0, 1}, 1 - w])/1024 - 
     (764675*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      49152 - (3963*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1, 0, 1}, 1 - w])/256 + 
     (59795*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 0, 1}, 1 - w])/12288 - 
     (35941*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      16384 + (4662803*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 0, 1}, 1 - w])/98304 + 
     (82795*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      49152 - (1116685*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 0, 1}, 1 - w])/49152 - 
     (562421*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      98304 - (15*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 0, 1}, 1 - w])/8 - 
     (51971*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      6144 + (354713*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 0, 1}, 1 - w])/12288 + 
     (91255*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      12288 + (25753*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 0, 1}, 1 - w])/1536 + 
     (41347*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      12288 + (18285*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 0, 1}, 1 - w])/1024 + 
     (66559*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      8192 + (46537*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 0, 1}, 1 - w])/2048 - 
     (987*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      512 + (2525*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w])/512 + 
     (1391*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w])/2048 + 
     (1003*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w])/256 + 
     (45781*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w])/3072 + 
     (8571*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w])/1024 + 
     (2233*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w])/512 - 
     (8117*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1, 1}, 1 - u])/3072 - 
     (73903*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      12288 + (6671*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1, 1, 1}, 1 - u])/1024 + 
     (91777*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1, 1}, 1 - u])/4096 + 
     (21269*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      12288 + (789673*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1, 1}, 1 - u])/4096 + 
     (3149237*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      49152 - (22959*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 1, 1}, 1 - u])/8192 + 
     (215363*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      2048 + (85103*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1, 1}, 1 - u])/24576 - 
     (7055*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      1024 + (264411*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1, 1}, 1 - u])/4096 + 
     (207355*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      4096 + (488561*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1, 1}, 1 - u])/12288 + 
     (28503*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      256 + (1187659*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1, 1}, 1 - u])/12288 + 
     (91459*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      4096 + (311475*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1, 1}, 1 - u])/2048 + 
     (381081*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      2048 + (9425*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u])/512 - 
     (42523*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u])/2048 - 
     (3139*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u])/512 + 
     (1901*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u])/512 - 
     (10297625*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u])/16384 - 
     (5440421*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u])/8192 + 
     (5517*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1, 1}, 1 - v])/8192 - 
     (105293*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      24576 + (36257*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1, 1, 1}, 1 - v])/12288 + 
     (1091*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1, 1}, 1 - v])/512 + 
     (2018373*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      16384 + (1402175*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1, 1}, 1 - v])/6144 + 
     (36257*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      12288 + (2018373*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 1, 1}, 1 - v])/16384 - 
     (105293*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      24576 + (5517*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1, 1}, 1 - v])/8192 + 
     (108281*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      1024 + (131845*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1, 1}, 1 - v])/2048 + 
     (350603*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      4096 + (258379*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1, 1}, 1 - v])/6144 + 
     (5691*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      512 + (258379*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1, 1}, 1 - v])/6144 + 
     (350603*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      4096 + (131845*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1, 1}, 1 - v])/2048 + 
     (108281*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      1024 + (47533*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v])/2048 + 
     (47533*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v])/2048 - 
     (6340257*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v])/16384 - 
     (6340257*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v])/16384 + 
     (85103*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1, 1}, 1 - w])/24576 + 
     (215363*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      2048 + (3149237*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1, 1, 1}, 1 - w])/49152 + 
     (91777*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1, 1}, 1 - w])/4096 - 
     (22959*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      8192 + (789673*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1, 1}, 1 - w])/4096 + 
     (6671*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      1024 + (21269*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 1, 1}, 1 - w])/12288 - 
     (73903*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      12288 - (8117*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1, 1}, 1 - w])/3072 + 
     (381081*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      2048 + (311475*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1, 1}, 1 - w])/2048 + 
     (91459*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      4096 + (1187659*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1, 1}, 1 - w])/12288 + 
     (28503*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      256 + (488561*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1, 1}, 1 - w])/12288 + 
     (207355*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      4096 + (264411*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1, 1}, 1 - w])/4096 - 
     (7055*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      1024 - (3139*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w])/512 - 
     (42523*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w])/2048 + 
     (9425*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w])/512 - 
     (5440421*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w])/8192 - 
     (10297625*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w])/16384 + 
     (1901*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w])/512 - 
     (4681*HPL[{1}, 1 - u]^3*HPL[{0, 1, 0, 1, 1}, 1 - u])/6144 - 
     (182375*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      36864 + (1881367*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 0, 1, 1}, 1 - u])/294912 + 
     (88903*HPL[{1}, 1 - v]^3*HPL[{0, 1, 0, 1, 1}, 1 - u])/12288 - 
     (933191*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      147456 + (961267*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 0, 1, 1}, 1 - u])/12288 + 
     (423223*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      18432 + (225749*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 0, 1, 1}, 1 - u])/32768 + 
     (162269*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      4608 + (85771*HPL[{1}, 1 - w]^3*HPL[{0, 1, 0, 1, 1}, 1 - u])/73728 - 
     (2239*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      2048 + (761653*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 0, 1, 1}, 1 - u])/24576 + 
     (26341*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      24576 + (379111*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 0, 1, 1}, 1 - u])/36864 + 
     (54877*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      1536 + (543089*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 0, 1, 1}, 1 - u])/18432 + 
     (80401*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      24576 + (385193*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 0, 1, 1}, 1 - u])/8192 + 
     (23695*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      384 + (15967*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u])/3072 - 
     (42359*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u])/6144 - 
     (9073*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u])/3072 + 
     (841*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u])/1024 - 
     (10283833*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u])/49152 - 
     (1815999*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u])/8192 + 
     (14009*HPL[{1}, 1 - u]^3*HPL[{0, 1, 0, 1, 1}, 1 - v])/24576 + 
     (619759*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      147456 - (92221*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 0, 1, 1}, 1 - v])/147456 + 
     (1565*HPL[{1}, 1 - v]^3*HPL[{0, 1, 0, 1, 1}, 1 - v])/3072 + 
     (511103*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      12288 + (876533*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 0, 1, 1}, 1 - v])/12288 - 
     (92221*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      147456 + (511103*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 0, 1, 1}, 1 - v])/12288 + 
     (619759*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      147456 + (14009*HPL[{1}, 1 - w]^3*HPL[{0, 1, 0, 1, 1}, 1 - v])/24576 + 
     (218963*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      6144 + (178475*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 0, 1, 1}, 1 - v])/8192 + 
     (664501*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      24576 + (635173*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 0, 1, 1}, 1 - v])/36864 + 
     (3059*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      1024 + (635173*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 0, 1, 1}, 1 - v])/36864 + 
     (664501*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      24576 + (178475*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 0, 1, 1}, 1 - v])/8192 + 
     (218963*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      6144 + (41831*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v])/6144 + 
     (41831*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v])/6144 - 
     (2123995*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v])/16384 - 
     (2123995*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v])/16384 + 
     (85771*HPL[{1}, 1 - u]^3*HPL[{0, 1, 0, 1, 1}, 1 - w])/73728 + 
     (162269*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      4608 + (423223*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 0, 1, 1}, 1 - w])/18432 + 
     (88903*HPL[{1}, 1 - v]^3*HPL[{0, 1, 0, 1, 1}, 1 - w])/12288 + 
     (225749*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      32768 + (961267*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 0, 1, 1}, 1 - w])/12288 + 
     (1881367*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      294912 - (933191*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 0, 1, 1}, 1 - w])/147456 - 
     (182375*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      36864 - (4681*HPL[{1}, 1 - w]^3*HPL[{0, 1, 0, 1, 1}, 1 - w])/6144 + 
     (23695*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      384 + (385193*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 0, 1, 1}, 1 - w])/8192 + 
     (80401*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      24576 + (543089*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 0, 1, 1}, 1 - w])/18432 + 
     (54877*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      1536 + (379111*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 0, 1, 1}, 1 - w])/36864 + 
     (26341*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      24576 + (761653*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 0, 1, 1}, 1 - w])/24576 - 
     (2239*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      2048 - (9073*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w])/3072 - 
     (42359*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w])/6144 + 
     (15967*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w])/3072 - 
     (1815999*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w])/8192 - 
     (10283833*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w])/49152 + 
     (841*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w])/1024 - 
     (19*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1, 1}, 1 - u])/16 + 
     (43*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u])/32 - 
     (1203*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - u])/
      256 + (2567*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1, 1}, 1 - u])/512 + 
     (23*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u])/64 - 
     (223*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1, 1}, 1 - u])/32 + 
     (13321*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u])/
      1024 - (3521*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 
        1 - u])/768 + (47099*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1, 1, 1}, 1 - u])/6144 + 
     (37*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1, 1}, 1 - u])/48 - 
     (357*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u])/
      256 + (105669*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1, 1}, 1 - u])/2048 + 
     (384943*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u])/
      6144 - (1377*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1, 1}, 1 - u])/512 + 
     (55073*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u])/
      6144 - (65503*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1, 1}, 1 - u])/6144 - 
     (593*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u])/
      512 - (21515*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1, 1}, 1 - u])/1536 - 
     (126233*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u])/
      8192 + (35*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u])/64 - 
     (HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u])/32 - 
     (379*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u])/128 - 
     (323*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u])/128 - 
     (143609*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u])/3072 + 
     (46857*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u])/4096 - 
     (589*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1, 1}, 1 - v])/512 + 
     (675*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v])/
      256 + (5*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - v])/
      32 + (2597*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 
        1 - v])/1024 + (1753*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1, 1}, 1 - v])/384 + 
     (5*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v])/32 + 
     (2597*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - v])/
      1024 + (675*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 
        1 - v])/256 - (589*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1, 1}, 1 - v])/
      512 - (7273*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 
        1 - v])/8192 + (73*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1, 1}, 1 - v])/64 - 
     (37153*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v])/
      2048 + (10625*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1, 1}, 1 - v])/768 + 
     (10625*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v])/
      768 - (37153*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1, 1}, 1 - v])/2048 + 
     (73*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v])/64 - 
     (7273*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v])/
      8192 - (575*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v])/256 - 
     (575*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v])/256 - 
     (15655*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v])/4096 - 
     (15655*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v])/4096 + 
     (37*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1, 1}, 1 - w])/48 + 
     (47099*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w])/
      6144 + (13321*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 1, 1, 1}, 1 - w])/1024 + 
     (2567*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1, 1}, 1 - w])/512 - 
     (3521*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w])/
      768 - (223*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1, 1}, 1 - w])/32 - 
     (1203*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w])/
      256 + (23*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 
        1 - w])/64 + (43*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1, 1, 1}, 1 - w])/32 - 
     (19*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1, 1}, 1 - w])/16 - 
     (126233*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w])/
      8192 - (21515*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1, 1}, 1 - w])/1536 - 
     (593*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w])/
      512 - (65503*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1, 1}, 1 - w])/6144 + 
     (55073*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w])/
      6144 - (1377*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1, 1}, 1 - w])/512 + 
     (384943*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w])/
      6144 + (105669*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1, 1}, 1 - w])/2048 - 
     (357*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w])/
      256 - (379*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w])/128 - 
     (HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w])/32 + 
     (35*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w])/64 + 
     (46857*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w])/4096 - 
     (143609*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w])/3072 - 
     (323*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w])/128 + 
     (75*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - u])/32 - 
     (465*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u])/
      128 + (3*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - u])/16 + 
     (299*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u])/
      128 + (69*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 
        1 - u])/128 - (111*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - u])/
      128 - 3*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u] + 
     (9*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u])/64 - 
     (9*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u])/16 - 
     (9*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - v])/64 - 
     (9*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v])/16 + 
     (9*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v])/32 - 
     (9*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v])/16 - 
     (9*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - v])/64 - 
     (111*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - w])/128 + 
     (69*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w])/
      128 + (3*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - w])/16 + 
     (299*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w])/
      128 - (465*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 
        1 - w])/128 + (75*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - w])/
      32 - (9*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w])/16 + 
     (9*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w])/64 - 
     3*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w] - 
     (81*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/64 + 
     (283*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/
      128 + (1061*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/512 - 
     (159*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/
      128 - (1771*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 
        1 - u])/384 + (141*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/
      64 + (133*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/64 - 
     (553*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/1024 + 
     (675*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/1024 + 
     (33*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - v])/128 + 
     (27*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v])/64 - 
     (33*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v])/64 + 
     (27*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v])/64 + 
     (33*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - v])/128 + 
     (141*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/64 - 
     (1771*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/
      384 + (1061*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/512 - 
     (159*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/
      128 + (283*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 
        1 - w])/128 - (81*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/
      64 + (675*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/1024 - 
     (553*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/1024 + 
     (133*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/64 + 
     (63*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/256 - 
     (125*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/
      512 + (623*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/512 + 
     (49*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/
      512 - (221*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 
        1 - u])/96 + (985*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/
      1024 - (57*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/256 - 
     (409*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/2048 + 
     (339*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/2048 + 
     (21*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - v])/512 - 
     (27*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v])/
      256 - (21*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 
        1 - v])/256 - (27*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1, 0, 1}, 1 - v])/256 + 
     (21*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - v])/512 + 
     (985*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/1024 - 
     (221*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/
      96 + (623*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/512 + 
     (49*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/
      512 - (125*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 
        1 - w])/512 + (63*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/
      256 + (339*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/2048 - 
     (409*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/2048 - 
     (57*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/256 + 
     (127*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1, 1}, 1 - u])/128 + 
     (84009*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u])/
      8192 - (133887*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1, 1}, 1 - u])/4096 + 
     (372397*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u])/
      2048 - (2532019*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - u])/24576 - (77457*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - u])/4096 + (2069*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - u])/128 + (2765*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - u])/64 + (30257*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - u])/1024 - (3245*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - v])/1024 + (1414431*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 0, 1, 1, 1}, 1 - v])/8192 + 
     (6129*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v])/
      4096 + (1414431*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - v])/8192 - (3245*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - v])/1024 + (48097*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - v])/1024 + (48097*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - v])/1024 - (77457*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - w])/4096 - (2532019*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 0, 1, 1, 1}, 1 - w])/24576 - 
     (133887*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1, 1}, 1 - w])/4096 + 
     (372397*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w])/
      2048 + (84009*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - w])/8192 + (127*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1, 1}, 1 - w])/
      128 + (30257*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w])/1024 + 
     (2765*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w])/64 + 
     (2069*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w])/128 - 
     (91*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1, 1}, 1 - u])/256 + 
     (95773*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u])/
      3072 - (123503*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1, 1}, 1 - u])/8192 + 
     (49063*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u])/
      512 - (2712803*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 
        1 - u])/49152 - (61335*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1, 1}, 
        1 - u])/8192 + (727*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 
        1 - u])/128 + (1425*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 
        1 - u])/64 + (32563*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 
        1 - u])/2048 - (4041*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1, 1}, 
        1 - v])/2048 + (9029*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1, 0, 1, 1}, 1 - v])/128 + 
     (12497*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v])/
      8192 + (9029*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 
        1 - v])/128 - (4041*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1, 1}, 1 - v])/
      2048 + (48097*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v])/2048 + 
     (48097*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v])/2048 - 
     (61335*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/8192 - 
     (2712803*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/
      49152 - (123503*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/
      8192 + (49063*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 
        1 - w])/512 + (95773*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/3072 - 
     (91*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/256 + 
     (32563*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/2048 + 
     (1425*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/64 + 
     (727*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/128 - 
     (21*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/256 - 
     (58135*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/
      49152 - (33677*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/8192 + 
     (410365*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/
      12288 - (1020161*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/49152 - 
     (10721*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/8192 - 
     (51*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/256 + 
     (1513*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/192 + 
     (36407*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/6144 - 
     (5773*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 0, 1}, 1 - v])/6144 + 
     (1336991*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v])/
      49152 + (26353*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 
        1 - v])/24576 + (1336991*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1, 0, 1}, 1 - v])/49152 - 
     (5773*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 0, 1}, 1 - v])/6144 + 
     (48097*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v])/6144 + 
     (48097*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v])/6144 - 
     (10721*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/8192 - 
     (1020161*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/
      49152 - (33677*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/8192 + 
     (410365*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/
      12288 - (58135*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 
        1 - w])/49152 - (21*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/
      256 + (36407*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/6144 + 
     (1513*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/192 - 
     (51*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/256 - 
     (383*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1, 1}, 1 - u])/128 + 
     (276835*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u])/
      6144 - (127169*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1, 1}, 1 - u])/2048 + 
     (45995*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u])/
      3072 - (88459*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 
        1 - u])/768 + (64501*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1, 1}, 
        1 - u])/4096 + (89*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u])/
      32 + (4443*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u])/256 - 
     (12685*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u])/256 + 
     (219919*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1, 1}, 1 - v])/4096 - 
     (52429*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v])/
      6144 - (841067*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 
        1 - v])/1536 - (52429*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1, 1, 1}, 1 - v])/6144 + 
     (219919*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1, 1}, 1 - v])/4096 + 
     (13277*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v])/128 + 
     (13277*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v])/128 + 
     (64501*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/4096 - 
     (88459*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/
      768 - (127169*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/2048 + 
     (45995*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/
      3072 + (276835*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 
        1 - w])/6144 - (383*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/
      128 - (12685*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/256 + 
     (4443*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/256 + 
     (89*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/32 - 
     (27*HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/512 + 
     (196849*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/
      24576 - (128461*HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/
      8192 + (15289*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 
        1 - u])/12288 - (187499*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/6144 + 
     (58045*HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/16384 + 
     (53*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/256 + 
     (3863*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/1024 - 
     (13305*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/1024 + 
     (219663*HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - v])/16384 - 
     (16553*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v])/
      8192 - (840875*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 
        1 - v])/6144 - (16553*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 0, 1, 1, 1}, 1 - v])/8192 + 
     (219663*HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - v])/16384 + 
     (13277*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v])/512 + 
     (13277*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v])/512 + 
     (58045*HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/16384 - 
     (187499*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/
      6144 - (128461*HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/8192 + 
     (15289*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/
      12288 + (196849*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 
        1 - w])/24576 - (27*HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/
      512 - (13305*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/1024 + 
     (3863*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/1024 + 
     (53*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/256 + 
     (2285*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1, 1}, 1 - u])/512 - 
     (2995*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u])/
      1024 + (1055*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1, 1}, 1 - u])/256 - 
     (2945*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u])/
      768 + (362195*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 
        1 - u])/6144 + (115*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1, 1}, 1 - u])/
      192 + (375*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u])/128 + 
     (525*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u])/128 - 
     (5*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u])/128 + 
     (1505*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1, 1}, 1 - v])/1024 + 
     (1775*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v])/
      1024 + (56725*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 
        1 - v])/2048 + (1775*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1, 1, 1}, 1 - v])/1024 + 
     (1505*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1, 1}, 1 - v])/1024 + 
     (1625*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v])/1024 + 
     (1625*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v])/1024 + 
     (115*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/192 + 
     (362195*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/
      6144 + (1055*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/256 - 
     (2945*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/
      768 - (2995*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 
        1 - w])/1024 + (2285*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1, 1}, 
        1 - w])/512 - (5*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/
      128 + (525*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/128 + 
     (375*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/128 + 
     (15*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - u])/4 - 
     (45*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - u])/32 + 
     (45*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - u])/32 + 
     (45*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - w])/32 - 
     (45*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - w])/32 + 
     (15*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - w])/4 - 
     (45*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - u])/4 + 
     (247*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - u])/128 + 
     (1421*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - u])/128 + 
     (27*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - v])/4 + 
     (27*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - v])/4 + 
     (1421*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - w])/128 + 
     (247*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - w])/128 - 
     (45*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - w])/4 - 
     (1101*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - u])/256 + 
     (63*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - u])/128 + 
     (381*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - u])/64 + 
     (27*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - v])/8 + 
     (27*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - v])/8 + 
     (381*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - w])/64 + 
     (63*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - w])/128 - 
     (1101*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - w])/256 - 
     (1311*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - u])/64 - 
     (9153*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - u])/512 + 
     (5151*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - u])/256 + 
     (189*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - v])/16 + 
     (189*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - v])/16 + 
     (5151*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - w])/256 - 
     (9153*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - w])/512 - 
     (1311*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - w])/64 - 
     (193*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - u])/128 + 
     (47*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - u])/256 + 
     (521*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - u])/256 + 
     (9*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - v])/8 + 
     (9*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - v])/8 + 
     (521*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - w])/256 + 
     (47*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - w])/256 - 
     (193*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - w])/128 - 
     (1411*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - u])/128 - 
     (2365*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - u])/256 + 
     (2385*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - u])/256 + 
     (327*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - v])/64 + 
     (327*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - v])/64 + 
     (2385*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - w])/256 - 
     (2365*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - w])/256 - 
     (1411*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - w])/128 - 
     (869*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - u])/256 - 
     (1825*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - u])/512 + 
     (729*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - u])/256 + 
     (75*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - v])/64 + 
     (75*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - v])/64 + 
     (729*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - w])/256 - 
     (1825*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - w])/512 - 
     (869*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - w])/256 + 
     (363*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - u])/32 + 
     (400529*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - u])/1024 - 
     (168929*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - u])/512 - 
     (258095*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - v])/1024 - 
     (258095*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - v])/1024 - 
     (168929*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - w])/512 + 
     (400529*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - w])/1024 + 
     (363*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - w])/32 - 
     (397*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - u])/128 - 
     (1129*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - u])/512 + 
     (539*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - u])/128 + 
     (75*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - v])/64 + 
     (75*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - v])/64 + 
     (539*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - w])/128 - 
     (1129*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - w])/512 - 
     (397*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - w])/128 - 
     (137*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - u])/256 - 
     (983*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - u])/1024 + 
     (497*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - u])/512 - 
     (27*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - v])/256 - 
     (27*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - v])/256 + 
     (497*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - w])/512 - 
     (983*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - w])/1024 - 
     (137*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - w])/256 + 
     (1399*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - u])/256 + 
     (1143923*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - u])/16384 - 
     (518493*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - u])/4096 - 
     (1680283*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - v])/16384 - 
     (1680283*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - v])/16384 - 
     (518493*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - w])/4096 + 
     (1143923*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - w])/16384 + 
     (1399*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - w])/256 + 
     (429*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - u])/128 + 
     (503465*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - u])/24576 - 
     (8173*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - u])/128 - 
     (362367*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - v])/8192 - 
     (362367*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - v])/8192 - 
     (8173*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - w])/128 + 
     (503465*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - w])/24576 + 
     (429*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - w])/128 + 
     (199*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - u])/64 + 
     (479005*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - u])/8192 - 
     (211205*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - u])/4096 - 
     (219599*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - v])/8192 - 
     (219599*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - v])/8192 - 
     (211205*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - w])/4096 + 
     (479005*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - w])/8192 + 
     (199*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - w])/64 - 
     (615*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - u])/64 - 
     (1144535*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - u])/3072 - 
     (17225*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - u])/32 - 
     (85325*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - v])/1536 - 
     (85325*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - v])/1536 - 
     (17225*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - w])/32 - 
     (1144535*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - w])/3072 - 
     (615*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - w])/64 - 
     (31*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - u])/64 - 
     (2046709*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - u])/49152 + 
     (49805*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - u])/4096 + 
     (128159*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - v])/16384 + 
     (128159*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - v])/16384 + 
     (49805*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - w])/4096 - 
     (2046709*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - w])/49152 - 
     (31*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - w])/64 - 
     (2259*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - u])/256 - 
     (529915*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - u])/6144 - 
     (292431*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - u])/2048 - 
     (27145*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - v])/3072 - 
     (27145*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - v])/3072 - 
     (292431*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - w])/2048 - 
     (529915*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - w])/6144 - 
     (2259*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - w])/256 - 
     (387*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - u])/128 - 
     (71357*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - u])/12288 - 
     (70831*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - u])/4096 + 
     (6985*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - v])/6144 + 
     (6985*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - v])/6144 - 
     (70831*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - w])/4096 - 
     (71357*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - w])/12288 - 
     (387*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - w])/128 - 
     (25*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - u])/2 - 
     (35*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - u])/8 - 
     (5*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - u])/4 - 
     (15*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - v])/8 - 
     (15*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - v])/8 - 
     (5*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - w])/4 - 
     (35*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - w])/8 - 
     (25*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - w])/2 + 
     (9*HPL[{0, 0, 0, 0, 0, 0, 1, 1}, 1 - u])/4 + 
     (9*HPL[{0, 0, 0, 0, 0, 0, 1, 1}, 1 - w])/4 + 
     (153*HPL[{0, 0, 0, 0, 0, 1, 0, 1}, 1 - u])/128 + 
     (153*HPL[{0, 0, 0, 0, 0, 1, 0, 1}, 1 - w])/128 - 
     (2655*HPL[{0, 0, 0, 0, 0, 1, 1, 1}, 1 - u])/32 - 
     (2655*HPL[{0, 0, 0, 0, 0, 1, 1, 1}, 1 - w])/32 + 
     (21*HPL[{0, 0, 0, 0, 1, 0, 0, 1}, 1 - u])/64 + 
     (21*HPL[{0, 0, 0, 0, 1, 0, 0, 1}, 1 - w])/64 - 
     (3977*HPL[{0, 0, 0, 0, 1, 0, 1, 1}, 1 - u])/128 - 
     (3977*HPL[{0, 0, 0, 0, 1, 0, 1, 1}, 1 - w])/128 - 
     (431*HPL[{0, 0, 0, 0, 1, 1, 0, 1}, 1 - u])/128 - 
     (431*HPL[{0, 0, 0, 0, 1, 1, 0, 1}, 1 - w])/128 - 
     (7759*HPL[{0, 0, 0, 0, 1, 1, 1, 1}, 1 - u])/32 - 
     (7759*HPL[{0, 0, 0, 0, 1, 1, 1, 1}, 1 - w])/32 - 
     (227*HPL[{0, 0, 0, 1, 0, 0, 1, 1}, 1 - u])/32 - 
     (227*HPL[{0, 0, 0, 1, 0, 0, 1, 1}, 1 - w])/32 + 
     (145*HPL[{0, 0, 0, 1, 0, 1, 0, 1}, 1 - u])/64 + 
     (145*HPL[{0, 0, 0, 1, 0, 1, 0, 1}, 1 - w])/64 - 
     (7733*HPL[{0, 0, 0, 1, 0, 1, 1, 1}, 1 - u])/64 - 
     (7733*HPL[{0, 0, 0, 1, 0, 1, 1, 1}, 1 - w])/64 - 
     (291*HPL[{0, 0, 0, 1, 1, 0, 0, 1}, 1 - u])/64 - 
     (291*HPL[{0, 0, 0, 1, 1, 0, 0, 1}, 1 - w])/64 - 
     (2449*HPL[{0, 0, 0, 1, 1, 0, 1, 1}, 1 - u])/64 - 
     (2449*HPL[{0, 0, 0, 1, 1, 0, 1, 1}, 1 - w])/64 + 
     (187*HPL[{0, 0, 0, 1, 1, 1, 0, 1}, 1 - u])/64 + 
     (187*HPL[{0, 0, 0, 1, 1, 1, 0, 1}, 1 - w])/64 - 
     (515*HPL[{0, 0, 0, 1, 1, 1, 1, 1}, 1 - u])/32 - 
     (515*HPL[{0, 0, 0, 1, 1, 1, 1, 1}, 1 - w])/32 + 
     (513*HPL[{0, 0, 1, 0, 0, 1, 0, 1}, 1 - u])/256 + 
     (513*HPL[{0, 0, 1, 0, 0, 1, 0, 1}, 1 - w])/256 - 
     (2613*HPL[{0, 0, 1, 0, 0, 1, 1, 1}, 1 - u])/64 - 
     (2613*HPL[{0, 0, 1, 0, 0, 1, 1, 1}, 1 - w])/64 - 
     (1687*HPL[{0, 0, 1, 0, 1, 0, 1, 1}, 1 - u])/128 - 
     (1687*HPL[{0, 0, 1, 0, 1, 0, 1, 1}, 1 - w])/128 + 
     (185*HPL[{0, 0, 1, 0, 1, 1, 0, 1}, 1 - u])/256 + 
     (185*HPL[{0, 0, 1, 0, 1, 1, 0, 1}, 1 - w])/256 - 
     (59*HPL[{0, 0, 1, 0, 1, 1, 1, 1}, 1 - u])/8 - 
     (59*HPL[{0, 0, 1, 0, 1, 1, 1, 1}, 1 - w])/8 + 
     (41*HPL[{0, 0, 1, 1, 0, 1, 0, 1}, 1 - u])/128 + 
     (41*HPL[{0, 0, 1, 1, 0, 1, 0, 1}, 1 - w])/128 - 
     (79*HPL[{0, 0, 1, 1, 0, 1, 1, 1}, 1 - u])/16 - 
     (79*HPL[{0, 0, 1, 1, 0, 1, 1, 1}, 1 - w])/16 - 
     (553*HPL[{0, 0, 1, 1, 1, 0, 1, 1}, 1 - u])/128 - 
     (553*HPL[{0, 0, 1, 1, 1, 0, 1, 1}, 1 - w])/128 - 
     (89*HPL[{0, 0, 1, 1, 1, 1, 0, 1}, 1 - u])/32 - 
     (89*HPL[{0, 0, 1, 1, 1, 1, 0, 1}, 1 - w])/32 - 
     (375*HPL[{0, 0, 1, 1, 1, 1, 1, 1}, 1 - u])/64 - 
     (375*HPL[{0, 0, 1, 1, 1, 1, 1, 1}, 1 - w])/64 + 
     (19*HPL[{0, 1, 0, 1, 0, 1, 1, 1}, 1 - u])/64 + 
     (19*HPL[{0, 1, 0, 1, 0, 1, 1, 1}, 1 - w])/64 + 
     (23*HPL[{0, 1, 0, 1, 1, 0, 1, 1}, 1 - u])/128 + 
     (23*HPL[{0, 1, 0, 1, 1, 0, 1, 1}, 1 - w])/128 + 
     (845*HPL[{0, 1, 0, 1, 1, 1, 1, 1}, 1 - u])/256 + 
     (845*HPL[{0, 1, 0, 1, 1, 1, 1, 1}, 1 - w])/256 + 
     (155*HPL[{0, 1, 1, 0, 1, 1, 1, 1}, 1 - u])/128 + 
     (155*HPL[{0, 1, 1, 0, 1, 1, 1, 1}, 1 - w])/128 + 
     (4725*HPL[{0, 1, 1, 1, 1, 1, 1, 1}, 1 - u])/256 + 
     (4725*HPL[{0, 1, 1, 1, 1, 1, 1, 1}, 1 - w])/256 + 
     (2855*HPL[{1}, 1 - u]^3*M1[u, v, w])/6144 - 
     (128303*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*M1[u, v, w])/147456 + 
     (176531*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*M1[u, v, w])/147456 - 
     (241*HPL[{1}, 1 - v]^3*M1[u, v, w])/3072 - 
     (3827*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*M1[u, v, w])/12288 - 
     (33535*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[u, v, w])/
      18432 + (47717*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*M1[u, v, w])/147456 + 
     (87419*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*M1[u, v, w])/49152 + 
     (17333*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*M1[u, v, w])/73728 + 
     (691*HPL[{1}, 1 - w]^3*M1[u, v, w])/6144 + 
     (477*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*M1[u, v, w])/2048 - 
     (78037*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*M1[u, v, w])/24576 - 
     (7453*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*M1[u, v, w])/24576 - 
     (236569*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*M1[u, v, w])/73728 - 
     (427*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*M1[u, v, w])/1024 - 
     (87203*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*M1[u, v, w])/36864 - 
     (59623*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*M1[u, v, w])/24576 - 
     (17423*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*M1[u, v, w])/4096 + 
     (791*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*M1[u, v, w])/2048 - 
     (3989*HPL[{0, 0, 1}, 1 - u]*M1[u, v, w])/3072 - 
     (1475*HPL[{0, 0, 1}, 1 - w]*M1[u, v, w])/3072 - 
     (333*HPL[{0, 1, 1}, 1 - u]*M1[u, v, w])/1024 - 
     (113*HPL[{0, 1, 1}, 1 - w]*M1[u, v, w])/1024 - 
     (137*HPL[{1}, 1 - u]^3*M1[v, u, w])/3072 + 
     (122027*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*M1[v, u, w])/147456 + 
     (341*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*M1[v, u, w])/73728 - 
     (787*HPL[{1}, 1 - v]^3*M1[v, u, w])/1536 + 
     (10411*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*M1[v, u, w])/24576 - 
     (2813*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[v, u, w])/
      18432 - (2413*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*M1[v, u, w])/73728 - 
     (485*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*M1[v, u, w])/1536 + 
     (11947*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*M1[v, u, w])/18432 + 
     (3*HPL[{1}, 1 - w]^3*M1[v, u, w])/512 - 
     (551*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*M1[v, u, w])/1024 - 
     (2807*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*M1[v, u, w])/24576 - 
     (22147*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*M1[v, u, w])/24576 + 
     (7213*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*M1[v, u, w])/18432 - 
     (77*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*M1[v, u, w])/512 + 
     (11317*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*M1[v, u, w])/18432 + 
     (8657*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*M1[v, u, w])/12288 - 
     (7265*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*M1[v, u, w])/8192 - 
     (147*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*M1[v, u, w])/1024 + 
     (397*HPL[{0, 0, 1}, 1 - u]*M1[v, u, w])/1536 - 
     (545*HPL[{0, 0, 1}, 1 - w]*M1[v, u, w])/1536 + 
     (19*HPL[{0, 1, 1}, 1 - u]*M1[v, u, w])/64 + 
     (3*HPL[{0, 1, 1}, 1 - w]*M1[v, u, w])/128 + 
     (997*HPL[{1}, 1 - u]^3*M1[v, w, u])/6144 + 
     (57185*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*M1[v, w, u])/147456 + 
     (112255*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*M1[v, w, u])/147456 - 
     (1811*HPL[{1}, 1 - v]^3*M1[v, w, u])/3072 + 
     (5539*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*M1[v, w, u])/16384 - 
     (20779*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[v, w, u])/
      9216 + (117763*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*M1[v, w, u])/147456 + 
     (17653*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*M1[v, w, u])/16384 + 
     (20909*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*M1[v, w, u])/36864 + 
     (229*HPL[{1}, 1 - w]^3*M1[v, w, u])/2048 + 
     (1325*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*M1[v, w, u])/2048 - 
     (109139*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*M1[v, w, u])/24576 - 
     (13571*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*M1[v, w, u])/24576 - 
     (76963*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*M1[v, w, u])/36864 - 
     (735*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*M1[v, w, u])/1024 - 
     (85171*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*M1[v, w, u])/36864 - 
     (6629*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*M1[v, w, u])/3072 - 
     (90151*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*M1[v, w, u])/24576 + 
     (517*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*M1[v, w, u])/2048 - 
     (3025*HPL[{0, 0, 1}, 1 - u]*M1[v, w, u])/3072 - 
     (1141*HPL[{0, 0, 1}, 1 - w]*M1[v, w, u])/3072 - 
     (433*HPL[{0, 1, 1}, 1 - u]*M1[v, w, u])/1024 - 
     (153*HPL[{0, 1, 1}, 1 - w]*M1[v, w, u])/1024 + 
     (961*HPL[{1}, 1 - u]^3*M1[w, u, v])/6144 - 
     (12797*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*M1[w, u, v])/49152 + 
     (13009*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*M1[w, u, v])/16384 - 
     (79*HPL[{1}, 1 - v]^3*M1[w, u, v])/1024 + 
     (32137*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*M1[w, u, v])/49152 - 
     (4305*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[w, u, v])/
      2048 + (13009*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*M1[w, u, v])/16384 + 
     (32137*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*M1[w, u, v])/49152 - 
     (12797*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*M1[w, u, v])/49152 + 
     (961*HPL[{1}, 1 - w]^3*M1[w, u, v])/6144 + 
     (1619*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*M1[w, u, v])/2048 - 
     (5459*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*M1[w, u, v])/1536 - 
     (10295*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*M1[w, u, v])/8192 - 
     (33199*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*M1[w, u, v])/12288 - 
     (581*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*M1[w, u, v])/1024 - 
     (33199*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*M1[w, u, v])/12288 - 
     (10295*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*M1[w, u, v])/8192 - 
     (5459*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*M1[w, u, v])/1536 + 
     (1619*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*M1[w, u, v])/2048 - 
     (645*HPL[{0, 0, 1}, 1 - u]*M1[w, u, v])/1024 - 
     (645*HPL[{0, 0, 1}, 1 - w]*M1[w, u, v])/1024 - 
     (457*HPL[{0, 1, 1}, 1 - u]*M1[w, u, v])/1024 - 
     (457*HPL[{0, 1, 1}, 1 - w]*M1[w, u, v])/1024 - 
     (45*HPL[{1}, 1 - u]^3*M1[w, v, u])/1024 + 
     (73057*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*M1[w, v, u])/147456 - 
     (17341*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*M1[w, v, u])/36864 - 
     (HPL[{1}, 1 - v]^3*M1[w, v, u])/768 + 
     (27641*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*M1[w, v, u])/24576 + 
     (2605*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[w, v, u])/
      9216 + (29725*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*M1[w, v, u])/73728 - 
     (15815*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*M1[w, v, u])/16384 - 
     (11239*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*M1[w, v, u])/18432 + 
     (947*HPL[{1}, 1 - w]^3*M1[w, v, u])/3072 - 
     (207*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*M1[w, v, u])/512 - 
     (8597*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*M1[w, v, u])/12288 - 
     (14369*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*M1[w, v, u])/12288 + 
     (6197*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*M1[w, v, u])/18432 + 
     (77*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*M1[w, v, u])/512 - 
     (37375*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*M1[w, v, u])/73728 + 
     (2929*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*M1[w, v, u])/3072 + 
     (9307*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*M1[w, v, u])/24576 - 
     (571*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*M1[w, v, u])/1024 + 
     (115*HPL[{0, 0, 1}, 1 - u]*M1[w, v, u])/768 - 
     (1027*HPL[{0, 0, 1}, 1 - w]*M1[w, v, u])/1536 + 
     (43*HPL[{0, 1, 1}, 1 - u]*M1[w, v, u])/128 + 
     (31*HPL[{0, 1, 1}, 1 - w]*M1[w, v, u])/256 - 
     (241*HPL[{1}, 1 - u]^3*Nt[u, v, w])/2048 - 
     (283*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Nt[u, v, w])/73728 + 
     (3685*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Nt[u, v, w])/73728 + 
     (97*HPL[{1}, 1 - v]^3*Nt[u, v, w])/1536 + 
     (49*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Nt[u, v, w])/1024 + 
     (11317*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Nt[u, v, w])/
      9216 + (3685*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Nt[u, v, w])/73728 + 
     (49*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Nt[u, v, w])/1024 - 
     (283*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Nt[u, v, w])/73728 - 
     (241*HPL[{1}, 1 - w]^3*Nt[u, v, w])/2048 - 
     (137*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Nt[u, v, w])/1024 + 
     (649*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Nt[u, v, w])/12288 - 
     (531*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Nt[u, v, w])/4096 + 
     (3233*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Nt[u, v, w])/18432 + 
     (77*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Nt[u, v, w])/512 + 
     (3233*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Nt[u, v, w])/18432 - 
     (531*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Nt[u, v, w])/4096 + 
     (649*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Nt[u, v, w])/12288 - 
     (137*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Nt[u, v, w])/1024 + 
     (143*HPL[{0, 0, 1}, 1 - u]*Nt[u, v, w])/1536 + 
     (143*HPL[{0, 0, 1}, 1 - w]*Nt[u, v, w])/1536 + 
     (119*HPL[{0, 1, 1}, 1 - u]*Nt[u, v, w])/512 + 
     (119*HPL[{0, 1, 1}, 1 - w]*Nt[u, v, w])/512 + 
     (115*HPL[{1}, 1 - u]^4*Omega2[u, v, w])/768 + 
     (84121*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*Omega2[u, v, w])/73728 + 
     (60173*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*Omega2[u, v, w])/73728 + 
     (73919*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*Omega2[u, v, w])/73728 - 
     (427*HPL[{1}, 1 - v]^4*Omega2[u, v, w])/1536 + 
     (2581*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*Omega2[u, v, w])/4096 - 
     (9545*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w])/
      12288 - (199771*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       Omega2[u, v, w])/36864 + (58937*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       Omega2[u, v, w])/73728 - (110279*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       Omega2[u, v, w])/24576 - (7925*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*Omega2[u, v, w])/1536 - 
     (22439*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*Omega2[u, v, w])/12288 - 
     (29*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*Omega2[u, v, w])/3072 + 
     (2429*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*Omega2[u, v, w])/18432 - 
     (353*HPL[{1}, 1 - w]^4*Omega2[u, v, w])/1536 + 
     (4163*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*Omega2[u, v, w])/8192 - 
     (155341*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       Omega2[u, v, w])/24576 - (161429*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
       Omega2[u, v, w])/12288 - (895*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*Omega2[u, v, w])/384 - 
     (8165*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       Omega2[u, v, w])/6144 + (493*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       Omega2[u, v, w])/512 - (15651*HPL[{0, 1}, 1 - u]^2*Omega2[u, v, w])/
      8192 - (93355*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*Omega2[u, v, w])/
      18432 - (1105259*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       Omega2[u, v, w])/73728 + (329*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
       Omega2[u, v, w])/1024 - (11185*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*Omega2[u, v, w])/12288 - 
     (231329*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       Omega2[u, v, w])/73728 + (102563*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       Omega2[u, v, w])/36864 - (141569*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       Omega2[u, v, w])/24576 - (1231*HPL[{0, 1}, 1 - v]^2*Omega2[u, v, w])/
      1024 + (4925*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*Omega2[u, v, w])/
      3072 - (36727*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       Omega2[u, v, w])/4096 - (20721*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
       Omega2[u, v, w])/4096 - (4631*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*Omega2[u, v, w])/1536 + 
     (49693*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       Omega2[u, v, w])/24576 - (63451*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       Omega2[u, v, w])/24576 + (435*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       Omega2[u, v, w])/128 + (107515*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       Omega2[u, v, w])/24576 + (49723*HPL[{0, 1}, 1 - w]^2*Omega2[u, v, w])/
      24576 + (39587*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*Omega2[u, v, w])/
      6144 - (25621*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*Omega2[u, v, w])/
      4096 + (34533*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*Omega2[u, v, w])/
      4096 - (3659*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*Omega2[u, v, w])/
      512 + (2693*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*Omega2[u, v, w])/
      512 + (5307*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*Omega2[u, v, w])/
      512 - (37565*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*Omega2[u, v, w])/
      12288 - (1355*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*Omega2[u, v, w])/
      12288 - (17591*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*Omega2[u, v, w])/
      2048 + (121*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*Omega2[u, v, w])/
      256 + (79573*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*Omega2[u, v, w])/
      8192 - (63117*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*Omega2[u, v, w])/
      8192 + (69695*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*Omega2[u, v, w])/
      6144 - (65383*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*Omega2[u, v, w])/
      6144 - (10967*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*Omega2[u, v, w])/
      8192 - (185321*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*Omega2[u, v, w])/
      24576 - (11*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*Omega2[u, v, w])/64 + 
     (15235*HPL[{0, 0, 0, 1}, 1 - u]*Omega2[u, v, w])/2048 + 
     (1231*HPL[{0, 0, 0, 1}, 1 - v]*Omega2[u, v, w])/256 - 
     (46315*HPL[{0, 0, 0, 1}, 1 - w]*Omega2[u, v, w])/6144 + 
     (11*HPL[{0, 0, 1, 1}, 1 - u]*Omega2[u, v, w])/16 + 
     (39*HPL[{0, 0, 1, 1}, 1 - w]*Omega2[u, v, w])/128 - 
     (45225*HPL[{0, 1, 1, 1}, 1 - u]*Omega2[u, v, w])/4096 - 
     (3693*HPL[{0, 1, 1, 1}, 1 - v]*Omega2[u, v, w])/512 + 
     (51483*HPL[{0, 1, 1, 1}, 1 - w]*Omega2[u, v, w])/4096 + 
     (31555*Omega2[u, v, w]^2)/6144 - (353*HPL[{1}, 1 - u]^4*Omega2[v, w, u])/
      1536 - (3337*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*Omega2[v, w, u])/18432 - 
     (32081*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*Omega2[v, w, u])/24576 - 
     (1817*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*Omega2[v, w, u])/2304 - 
     (95*HPL[{1}, 1 - v]^4*Omega2[v, w, u])/768 + 
     (233*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*Omega2[v, w, u])/768 - 
     (85867*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       Omega2[v, w, u])/12288 + (27499*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*Omega2[v, w, u])/73728 - 
     (27269*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*Omega2[v, w, u])/36864 - 
     (39071*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*Omega2[v, w, u])/12288 - 
     (154547*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       Omega2[v, w, u])/24576 + (215645*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
       Omega2[v, w, u])/73728 + (47623*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       Omega2[v, w, u])/24576 + (11333*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       Omega2[v, w, u])/36864 + (1421*HPL[{1}, 1 - w]^4*Omega2[v, w, u])/
      3072 - (63451*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*Omega2[v, w, u])/
      24576 + (10837*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       Omega2[v, w, u])/24576 + (25181*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
       Omega2[v, w, u])/12288 - (4405*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*Omega2[v, w, u])/3072 - 
     (10415*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       Omega2[v, w, u])/768 - (11185*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       Omega2[v, w, u])/12288 + (49723*HPL[{0, 1}, 1 - u]^2*Omega2[v, w, u])/
      24576 + (102563*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*Omega2[v, w, u])/
      36864 + (167059*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       Omega2[v, w, u])/73728 + (1491*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
       Omega2[v, w, u])/1024 - (25861*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*Omega2[v, w, u])/4096 - 
     (790535*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       Omega2[v, w, u])/73728 - (24119*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       Omega2[v, w, u])/2304 + (107515*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       Omega2[v, w, u])/24576 - (1231*HPL[{0, 1}, 1 - v]^2*Omega2[v, w, u])/
      1024 + (493*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*Omega2[v, w, u])/512 + 
     (14555*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       Omega2[v, w, u])/12288 - (24695*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
       Omega2[v, w, u])/4096 - (59525*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*Omega2[v, w, u])/12288 - 
     (368885*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       Omega2[v, w, u])/24576 + (17115*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       Omega2[v, w, u])/8192 + (435*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       Omega2[v, w, u])/128 - (141569*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       Omega2[v, w, u])/24576 - (15651*HPL[{0, 1}, 1 - w]^2*Omega2[v, w, u])/
      8192 - (17591*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*Omega2[v, w, u])/
      2048 + (14125*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*Omega2[v, w, u])/
      12288 - (53045*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*Omega2[v, w, u])/
      12288 + (5307*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*Omega2[v, w, u])/
      512 + (2693*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*Omega2[v, w, u])/
      512 - (3659*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*Omega2[v, w, u])/
      512 + (34533*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*Omega2[v, w, u])/
      4096 - (20461*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*Omega2[v, w, u])/
      4096 + (31847*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*Omega2[v, w, u])/
      6144 - (11*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*Omega2[v, w, u])/64 - 
     (163385*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*Omega2[v, w, u])/24576 - 
     (18279*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*Omega2[v, w, u])/8192 - 
     (65383*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*Omega2[v, w, u])/6144 + 
     (69695*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*Omega2[v, w, u])/6144 - 
     (63117*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*Omega2[v, w, u])/8192 + 
     (86885*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*Omega2[v, w, u])/8192 - 
     (215*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*Omega2[v, w, u])/512 - 
     (46315*HPL[{0, 0, 0, 1}, 1 - u]*Omega2[v, w, u])/6144 + 
     (1231*HPL[{0, 0, 0, 1}, 1 - v]*Omega2[v, w, u])/256 + 
     (15235*HPL[{0, 0, 0, 1}, 1 - w]*Omega2[v, w, u])/2048 + 
     (39*HPL[{0, 0, 1, 1}, 1 - u]*Omega2[v, w, u])/128 + 
     (11*HPL[{0, 0, 1, 1}, 1 - w]*Omega2[v, w, u])/16 + 
     (51483*HPL[{0, 1, 1, 1}, 1 - u]*Omega2[v, w, u])/4096 - 
     (3693*HPL[{0, 1, 1, 1}, 1 - v]*Omega2[v, w, u])/512 - 
     (45225*HPL[{0, 1, 1, 1}, 1 - w]*Omega2[v, w, u])/4096 - 
     (16783*Omega2[u, v, w]*Omega2[v, w, u])/3072 + 
     (31555*Omega2[v, w, u]^2)/6144 + (307*HPL[{1}, 1 - u]^4*Omega2[w, u, v])/
      512 - (60239*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*Omega2[w, u, v])/73728 - 
     (49285*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*Omega2[w, u, v])/36864 - 
     (8383*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*Omega2[w, u, v])/18432 + 
     (257*HPL[{1}, 1 - v]^4*Omega2[w, u, v])/1536 + 
     (3587*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*Omega2[w, u, v])/24576 - 
     (2365*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[w, u, v])/
      512 - (476819*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       Omega2[w, u, v])/73728 - (5539*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       Omega2[w, u, v])/18432 + (38775*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       Omega2[w, u, v])/8192 - (22997*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*Omega2[w, u, v])/24576 - 
     (215651*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*Omega2[w, u, v])/73728 - 
     (3477*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*Omega2[w, u, v])/4096 - 
     (2731*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*Omega2[w, u, v])/9216 + 
     (881*HPL[{1}, 1 - w]^4*Omega2[w, u, v])/3072 + 
     (101851*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*Omega2[w, u, v])/24576 - 
     (27649*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       Omega2[w, u, v])/8192 + (17171*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
       Omega2[w, u, v])/12288 - (64265*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*Omega2[w, u, v])/6144 + 
     (2389*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       Omega2[w, u, v])/6144 - (51929*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       Omega2[w, u, v])/6144 - (67555*HPL[{0, 1}, 1 - u]^2*Omega2[w, u, v])/
      24576 - (62239*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*Omega2[w, u, v])/
      12288 + (23641*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       Omega2[w, u, v])/73728 - (14765*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
       Omega2[w, u, v])/12288 - (14917*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*Omega2[w, u, v])/1536 + 
     (107305*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       Omega2[w, u, v])/73728 + (4159*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       Omega2[w, u, v])/12288 + (148069*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       Omega2[w, u, v])/24576 + (17885*HPL[{0, 1}, 1 - v]^2*Omega2[w, u, v])/
      12288 - (134743*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*Omega2[w, u, v])/
      12288 - (13761*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       Omega2[w, u, v])/2048 + (17171*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
       Omega2[w, u, v])/12288 - (78217*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*Omega2[w, u, v])/12288 + 
     (91741*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       Omega2[w, u, v])/24576 + (62995*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       Omega2[w, u, v])/24576 - (76183*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       Omega2[w, u, v])/12288 + (148069*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       Omega2[w, u, v])/24576 - (67555*HPL[{0, 1}, 1 - w]^2*Omega2[w, u, v])/
      24576 + (64609*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*Omega2[w, u, v])/
      6144 + (43339*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*Omega2[w, u, v])/
      4096 - (87281*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*Omega2[w, u, v])/
      12288 - (1161*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*Omega2[w, u, v])/
      1024 - (16499*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*Omega2[w, u, v])/
      3072 - (1161*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*Omega2[w, u, v])/
      1024 - (102761*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*Omega2[w, u, v])/
      12288 + (43339*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*Omega2[w, u, v])/
      4096 + (72349*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*Omega2[w, u, v])/
      6144 - (1043*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*Omega2[w, u, v])/
      512 - (108169*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*Omega2[w, u, v])/
      8192 + (266819*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*Omega2[w, u, v])/
      24576 - (19363*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*Omega2[w, u, v])/
      2048 + (263*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*Omega2[w, u, v])/
      128 - (19363*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*Omega2[w, u, v])/
      2048 + (244883*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*Omega2[w, u, v])/
      24576 - (108169*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*Omega2[w, u, v])/
      8192 - (293*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*Omega2[w, u, v])/
      256 + (78259*HPL[{0, 0, 0, 1}, 1 - u]*Omega2[w, u, v])/6144 - 
     (17885*HPL[{0, 0, 0, 1}, 1 - v]*Omega2[w, u, v])/3072 + 
     (78259*HPL[{0, 0, 0, 1}, 1 - w]*Omega2[w, u, v])/6144 - 
     (61*HPL[{0, 0, 1, 1}, 1 - u]*Omega2[w, u, v])/64 - 
     (61*HPL[{0, 0, 1, 1}, 1 - w]*Omega2[w, u, v])/64 - 
     (67619*HPL[{0, 1, 1, 1}, 1 - u]*Omega2[w, u, v])/4096 + 
     (17885*HPL[{0, 1, 1, 1}, 1 - v]*Omega2[w, u, v])/2048 - 
     (67619*HPL[{0, 1, 1, 1}, 1 - w]*Omega2[w, u, v])/4096 - 
     (17885*Omega2[u, v, w]*Omega2[w, u, v])/6144 - 
     (17885*Omega2[v, w, u]*Omega2[w, u, v])/6144 + 
     (445*Omega2[w, u, v]^2)/64 - (2257*HPL[{1}, 1 - u]^3*Ot[u, v, w])/6144 - 
     (3869*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Ot[u, v, w])/9216 - 
     (43267*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Ot[u, v, w])/147456 + 
     (617*HPL[{1}, 1 - v]^3*Ot[u, v, w])/3072 - 
     (24695*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Ot[u, v, w])/49152 + 
     (87947*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Ot[u, v, w])/
      18432 - (43267*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Ot[u, v, w])/147456 - 
     (24695*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Ot[u, v, w])/49152 - 
     (3869*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Ot[u, v, w])/9216 - 
     (2257*HPL[{1}, 1 - w]^3*Ot[u, v, w])/6144 - 
     (771*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Ot[u, v, w])/2048 + 
     (91297*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Ot[u, v, w])/24576 + 
     (34033*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Ot[u, v, w])/24576 + 
     (117265*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Ot[u, v, w])/36864 + 
     (735*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Ot[u, v, w])/1024 + 
     (117265*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Ot[u, v, w])/36864 + 
     (34033*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Ot[u, v, w])/24576 + 
     (91297*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Ot[u, v, w])/24576 - 
     (771*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Ot[u, v, w])/2048 + 
     (2851*HPL[{0, 0, 1}, 1 - u]*Ot[u, v, w])/3072 + 
     (2851*HPL[{0, 0, 1}, 1 - w]*Ot[u, v, w])/3072 + 
     (661*HPL[{0, 1, 1}, 1 - u]*Ot[u, v, w])/1024 + 
     (661*HPL[{0, 1, 1}, 1 - w]*Ot[u, v, w])/1024 + 
     (223219*G[u, v, w]*Phi6[u, v, w])/12288 - 
     (769*H1[u, v, w]*Phi6[u, v, w])/1536 - (20131*H1[v, w, u]*Phi6[u, v, w])/
      6144 - (20131*H1[w, u, v]*Phi6[u, v, w])/6144 + 
     (16413*F1[u, v, w]*HPL[{1}, 1 - u]*Phi6[u, v, w])/2048 + 
     (77803*F1[v, w, u]*HPL[{1}, 1 - u]*Phi6[u, v, w])/12288 + 
     (99*F1[w, u, v]*HPL[{1}, 1 - u]*Phi6[u, v, w])/16 + 
     (72985*F1[u, v, w]*HPL[{1}, 1 - v]*Phi6[u, v, w])/12288 + 
     (13097*F1[v, w, u]*HPL[{1}, 1 - v]*Phi6[u, v, w])/1536 + 
     (72985*F1[w, u, v]*HPL[{1}, 1 - v]*Phi6[u, v, w])/12288 + 
     (99*F1[u, v, w]*HPL[{1}, 1 - w]*Phi6[u, v, w])/16 + 
     (77803*F1[v, w, u]*HPL[{1}, 1 - w]*Phi6[u, v, w])/12288 + 
     (16413*F1[w, u, v]*HPL[{1}, 1 - w]*Phi6[u, v, w])/2048 - 
     (10169*J1[u, v, w]*Phi6[u, v, w])/3072 - 
     (29139*J1[v, w, u]*Phi6[u, v, w])/8192 - 
     (29139*J1[w, u, v]*Phi6[u, v, w])/8192 - 
     (29161*K1[u, v, w]*Phi6[u, v, w])/3072 - 
     (43655*K1[v, w, u]*Phi6[u, v, w])/4096 - 
     (43655*K1[w, u, v]*Phi6[u, v, w])/4096 + 
     (8225*HPL[{1}, 1 - u]^2*Phi6[u, v, w]^2)/2048 + 
     (128821*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Phi6[u, v, w]^2)/16384 + 
     (27031*HPL[{1}, 1 - v]^2*Phi6[u, v, w]^2)/6144 + 
     (62409*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Phi6[u, v, w]^2)/8192 + 
     (128821*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Phi6[u, v, w]^2)/16384 + 
     (8225*HPL[{1}, 1 - w]^2*Phi6[u, v, w]^2)/2048 + 
     (9*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]^2)/256 + 
     (9*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]^2)/256 + 
     (283*HPL[{1}, 1 - u]^3*Qep[u, v, w])/192 + 
     (16741*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Qep[u, v, w])/1728 - 
     (8069*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Qep[u, v, w])/864 - 
     (95*HPL[{1}, 1 - v]^3*Qep[u, v, w])/72 + 
     (35389*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Qep[u, v, w])/4608 - 
     (37313*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[u, v, w])/
      1728 - (17825*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Qep[u, v, w])/3456 - 
     (48593*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Qep[u, v, w])/4608 + 
     (52825*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Qep[u, v, w])/6912 + 
     (2059*HPL[{1}, 1 - w]^3*Qep[u, v, w])/576 - 
     (833*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Qep[u, v, w])/192 - 
     (16019*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Qep[u, v, w])/1152 - 
     (1147*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Qep[u, v, w])/128 + 
     (128387*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Qep[u, v, w])/3456 + 
     (77*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Qep[u, v, w])/24 - 
     (45067*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Qep[u, v, w])/3456 + 
     (19441*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Qep[u, v, w])/1152 + 
     (979*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Qep[u, v, w])/288 - 
     (863*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Qep[u, v, w])/192 - 
     (379*HPL[{0, 0, 1}, 1 - u]*Qep[u, v, w])/288 - 
     (1645*HPL[{0, 0, 1}, 1 - w]*Qep[u, v, w])/288 + 
     (15*HPL[{0, 1, 1}, 1 - u]*Qep[u, v, w])/32 - 
     (533*HPL[{0, 1, 1}, 1 - w]*Qep[u, v, w])/96 + 
     (377*HPL[{1}, 1 - u]^3*Qep[u, w, v])/64 - 
     (41911*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Qep[u, w, v])/6912 + 
     (280373*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Qep[u, w, v])/13824 - 
     (973*HPL[{1}, 1 - v]^3*Qep[u, w, v])/288 - 
     (9481*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Qep[u, w, v])/4608 - 
     (16979*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[u, w, v])/
      216 + (224405*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Qep[u, w, v])/13824 + 
     (51385*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Qep[u, w, v])/2304 - 
     (13435*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Qep[u, w, v])/6912 + 
     (1519*HPL[{1}, 1 - w]^3*Qep[u, w, v])/288 + 
     (2747*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Qep[u, w, v])/192 - 
     (213659*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Qep[u, w, v])/2304 - 
     (15403*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Qep[u, w, v])/768 - 
     (338605*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Qep[u, w, v])/6912 - 
     (133*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Qep[u, w, v])/12 - 
     (364819*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Qep[u, w, v])/6912 - 
     (45731*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Qep[u, w, v])/2304 - 
     (155375*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Qep[u, w, v])/2304 + 
     (77*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Qep[u, w, v])/48 - 
     (7745*HPL[{0, 0, 1}, 1 - u]*Qep[u, w, v])/288 - 
     (1147*HPL[{0, 0, 1}, 1 - w]*Qep[u, w, v])/144 - 
     (491*HPL[{0, 1, 1}, 1 - u]*Qep[u, w, v])/32 - 
     (425*HPL[{0, 1, 1}, 1 - w]*Qep[u, w, v])/48 + 
     (1763*HPL[{1}, 1 - u]^3*Qep[v, u, w])/288 - 
     (1829*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Qep[v, u, w])/384 + 
     (66113*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Qep[v, u, w])/4608 - 
     (111*HPL[{1}, 1 - v]^3*Qep[v, u, w])/32 + 
     (3041*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Qep[v, u, w])/2304 - 
     (41795*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[v, u, w])/
      576 + (3263*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Qep[v, u, w])/1536 + 
     (149749*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Qep[v, u, w])/4608 + 
     (815*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Qep[v, u, w])/128 + 
     (2239*HPL[{1}, 1 - w]^3*Qep[v, u, w])/576 + 
     (991*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Qep[v, u, w])/48 - 
     (90131*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Qep[v, u, w])/2304 - 
     (1361*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Qep[v, u, w])/256 - 
     (145915*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Qep[v, u, w])/2304 - 
     (49*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Qep[v, u, w])/3 - 
     (159241*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Qep[v, u, w])/2304 - 
     (28169*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Qep[v, u, w])/768 - 
     (137459*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Qep[v, u, w])/2304 + 
     (299*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Qep[v, u, w])/64 - 
     (189*HPL[{0, 0, 1}, 1 - u]*Qep[v, u, w])/16 - 
     (1265*HPL[{0, 0, 1}, 1 - w]*Qep[v, u, w])/96 - 
     (829*HPL[{0, 1, 1}, 1 - u]*Qep[v, u, w])/48 - 
     (185*HPL[{0, 1, 1}, 1 - w]*Qep[v, u, w])/32 + 
     (317*HPL[{1}, 1 - u]^3*Qep[v, w, u])/576 + 
     (27467*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Qep[v, w, u])/2304 - 
     (7585*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Qep[v, w, u])/512 - 
     (175*HPL[{1}, 1 - v]^3*Qep[v, w, u])/96 + 
     (85475*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Qep[v, w, u])/4608 - 
     (15965*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[v, w, u])/
      576 - (11941*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Qep[v, w, u])/4608 - 
     (3637*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Qep[v, w, u])/288 + 
     (1823*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Qep[v, w, u])/2304 + 
     (401*HPL[{1}, 1 - w]^3*Qep[v, w, u])/144 - 
     (2341*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Qep[v, w, u])/192 + 
     (37229*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Qep[v, w, u])/2304 - 
     (7579*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Qep[v, w, u])/768 - 
     (8815*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Qep[v, w, u])/768 - 
     (203*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Qep[v, w, u])/48 - 
     (4373*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Qep[v, w, u])/768 + 
     (16507*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Qep[v, w, u])/768 + 
     (84557*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Qep[v, w, u])/2304 + 
     (121*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Qep[v, w, u])/32 + 
     (25*HPL[{0, 0, 1}, 1 - u]*Qep[v, w, u])/96 + 
     (13*HPL[{0, 0, 1}, 1 - w]*Qep[v, w, u])/8 + 
     (359*HPL[{0, 1, 1}, 1 - u]*Qep[v, w, u])/96 - 
     (31*HPL[{0, 1, 1}, 1 - w]*Qep[v, w, u])/4 + 
     (31*HPL[{1}, 1 - u]^3*Qep[w, u, v])/16 + 
     (6239*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Qep[w, u, v])/1728 - 
     (9757*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Qep[w, u, v])/13824 - 
     (499*HPL[{1}, 1 - v]^3*Qep[w, u, v])/288 + 
     (401*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Qep[w, u, v])/48 - 
     (29171*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[w, u, v])/
      864 + (46211*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Qep[w, u, v])/13824 - 
     (8195*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Qep[w, u, v])/512 - 
     (55*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Qep[w, u, v])/108 + 
     (1471*HPL[{1}, 1 - w]^3*Qep[w, u, v])/576 - 
     (1465*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Qep[w, u, v])/96 + 
     (19313*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Qep[w, u, v])/2304 + 
     (16039*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Qep[w, u, v])/2304 + 
     (33569*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Qep[w, u, v])/6912 + 
     (49*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Qep[w, u, v])/48 + 
     (59783*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Qep[w, u, v])/6912 + 
     (1729*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Qep[w, u, v])/256 - 
     (38971*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Qep[w, u, v])/2304 - 
     (491*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Qep[w, u, v])/192 + 
     (197*HPL[{0, 0, 1}, 1 - u]*Qep[w, u, v])/36 - 
     (3875*HPL[{0, 0, 1}, 1 - w]*Qep[w, u, v])/288 + 
     (2*HPL[{0, 1, 1}, 1 - u]*Qep[w, u, v])/3 - 
     (559*HPL[{0, 1, 1}, 1 - w]*Qep[w, u, v])/96 + 
     (1327*HPL[{1}, 1 - u]^3*Qep[w, v, u])/192 + 
     (7217*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Qep[w, v, u])/3456 + 
     (81431*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Qep[w, v, u])/6912 - 
     (427*HPL[{1}, 1 - v]^3*Qep[w, v, u])/144 + 
     (5227*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Qep[w, v, u])/1536 - 
     (114803*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[w, v, u])/
      1728 + (52529*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Qep[w, v, u])/6912 + 
     (33221*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Qep[w, v, u])/1536 + 
     (28573*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Qep[w, v, u])/6912 + 
     (2771*HPL[{1}, 1 - w]^3*Qep[w, v, u])/576 + 
     (2375*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Qep[w, v, u])/192 - 
     (20857*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Qep[w, v, u])/288 - 
     (2861*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Qep[w, v, u])/288 - 
     (244261*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Qep[w, v, u])/3456 - 
     (427*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Qep[w, v, u])/48 - 
     (70807*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Qep[w, v, u])/3456 - 
     (1717*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Qep[w, v, u])/48 - 
     (103363*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Qep[w, v, u])/1152 + 
     (2405*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Qep[w, v, u])/192 - 
     (5515*HPL[{0, 0, 1}, 1 - u]*Qep[w, v, u])/288 - 
     (4249*HPL[{0, 0, 1}, 1 - w]*Qep[w, v, u])/288 - 
     (1447*HPL[{0, 1, 1}, 1 - u]*Qep[w, v, u])/96 - 
     (869*HPL[{0, 1, 1}, 1 - w]*Qep[w, v, u])/96 + (15*T1[u, v, w])/256 + 
     (45*T1[u, w, v])/256 + (75*T1[v, u, w])/256 + (75*T1[v, w, u])/256 + 
     (45*T1[w, u, v])/256 + (15*T1[w, v, u])/256 + (35*T10[u, v, w])/256 + 
     T10[u, w, v]/8 + (89*T10[v, u, w])/512 + (89*T10[v, w, u])/512 + 
     T10[w, u, v]/8 + (35*T10[w, v, u])/256 + (569*T100[u, v, w])/1024 - 
     (65339*T101[u, v, w])/36864 + (72413*T102[u, v, w])/36864 + 
     (9*T11[u, v, w])/64 + T11[u, w, v]/8 + (89*T11[v, u, w])/512 + 
     (89*T11[v, w, u])/512 + T11[w, u, v]/8 + (9*T11[w, v, u])/64 + 
     (51*T12[u, v, w])/512 + (11*T12[u, w, v])/64 + (3*T12[v, u, w])/16 + 
     (3*T12[v, w, u])/16 + (11*T12[w, u, v])/64 + (51*T12[w, v, u])/512 + 
     (27*T13[u, v, w])/256 + (75*T13[u, w, v])/512 + (129*T13[v, u, w])/512 + 
     (129*T13[v, w, u])/512 + (75*T13[w, u, v])/512 + (27*T13[w, v, u])/256 + 
     (11*T14[u, v, w])/64 + (75*T14[u, w, v])/512 + (75*T14[v, u, w])/512 + 
     (75*T14[v, w, u])/512 + (75*T14[w, u, v])/512 + (11*T14[w, v, u])/64 + 
     (129*T15[u, v, w])/512 + (27*T15[u, w, v])/256 + (75*T15[v, u, w])/512 + 
     (75*T15[v, w, u])/512 + (27*T15[w, u, v])/256 + (129*T15[w, v, u])/512 - 
     (267*T16[u, v, w])/128 - (939*T16[u, w, v])/256 - 
     (171*T16[v, u, w])/64 - (171*T16[v, w, u])/64 - (939*T16[w, u, v])/256 - 
     (267*T16[w, v, u])/128 - (3079*T17[u, v, w])/1024 - 
     (577*T17[u, w, v])/256 - (1917*T17[v, u, w])/512 - 
     (1917*T17[v, w, u])/512 - (577*T17[w, u, v])/256 - 
     (3079*T17[w, v, u])/1024 + (3*T18[u, v, w])/128 + (3*T18[u, w, v])/256 + 
     (3*T18[w, u, v])/256 + (3*T18[w, v, u])/128 + (3*T19[u, v, w])/256 - 
     (3*T19[v, u, w])/256 - (3*T19[v, w, u])/256 + (3*T19[w, v, u])/256 + 
     (17*T2[u, v, w])/64 + (9*T2[u, w, v])/128 + (3*T2[v, u, w])/16 + 
     (3*T2[v, w, u])/16 + (9*T2[w, u, v])/128 + (17*T2[w, v, u])/64 - 
     (2997*T20[u, v, w])/4096 - (679*T20[u, w, v])/1024 - 
     (8609*T20[v, u, w])/12288 - (8609*T20[v, w, u])/12288 - 
     (679*T20[w, u, v])/1024 - (2997*T20[w, v, u])/4096 + 
     (61*T21[u, v, w])/512 + (87*T21[u, w, v])/512 + 
     (149*T21[v, u, w])/1024 + (149*T21[v, w, u])/1024 + 
     (87*T21[w, u, v])/512 + (61*T21[w, v, u])/512 + (3*T22[u, v, w])/256 + 
     (3*T22[u, w, v])/128 + (3*T22[w, u, v])/128 + (3*T22[w, v, u])/256 - 
     (3*T23[u, w, v])/256 - (7*T23[v, u, w])/512 - (7*T23[v, w, u])/512 - 
     (3*T23[w, u, v])/256 - (85*T24[u, v, w])/512 - (19*T24[u, w, v])/256 - 
     (125*T24[v, u, w])/512 - (125*T24[v, w, u])/512 - 
     (19*T24[w, u, v])/256 - (85*T24[w, v, u])/512 - (29*T25[u, v, w])/256 - 
     (125*T25[u, w, v])/512 - (71*T25[v, u, w])/512 - (71*T25[v, w, u])/512 - 
     (125*T25[w, u, v])/512 - (29*T25[w, v, u])/256 + (9*T26[u, v, w])/256 - 
     (3*T26[v, u, w])/64 - (3*T26[v, w, u])/64 + (9*T26[w, v, u])/256 - 
     (51*T27[u, v, w])/256 - (85*T27[u, w, v])/512 - (71*T27[v, u, w])/512 - 
     (71*T27[v, w, u])/512 - (85*T27[w, u, v])/512 - (51*T27[w, v, u])/256 + 
     (5*T28[u, v, w])/128 - (9*T28[u, w, v])/256 - (9*T28[v, u, w])/256 - 
     (9*T28[v, w, u])/256 - (9*T28[w, u, v])/256 + (5*T28[w, v, u])/128 - 
     (3*T29[u, w, v])/256 - (3*T29[v, u, w])/128 - (3*T29[v, w, u])/128 - 
     (3*T29[w, u, v])/256 + (63*T3[u, v, w])/256 + (27*T3[u, w, v])/256 + 
     (75*T3[v, u, w])/512 + (75*T3[v, w, u])/512 + (27*T3[w, u, v])/256 + 
     (63*T3[w, v, u])/256 - (3*T30[u, w, v])/256 - (3*T30[v, u, w])/128 - 
     (3*T30[v, w, u])/128 - (3*T30[w, u, v])/256 - (1171*T31[u, v, w])/6144 - 
     (247*T31[u, w, v])/1536 - (365*T31[v, u, w])/6144 - 
     (365*T31[v, w, u])/6144 - (247*T31[w, u, v])/1536 - 
     (1171*T31[w, v, u])/6144 + (7*T32[u, v, w])/512 - (3*T32[u, w, v])/512 - 
     (3*T32[w, u, v])/512 + (7*T32[w, v, u])/512 + (5*T33[u, w, v])/128 + 
     (7*T33[v, u, w])/512 + (7*T33[v, w, u])/512 + (5*T33[w, u, v])/128 - 
     (7*T34[u, v, w])/512 - (3*T34[u, w, v])/256 - (3*T34[w, u, v])/256 - 
     (7*T34[w, v, u])/512 - (635*T35[u, v, w])/6144 - 
     (511*T35[u, w, v])/1536 - (1885*T35[v, u, w])/6144 - 
     (1885*T35[v, w, u])/6144 - (511*T35[w, u, v])/1536 - 
     (635*T35[w, v, u])/6144 - (307*T36[u, v, w])/1024 - 
     (1089*T36[u, w, v])/2048 - (435*T36[v, u, w])/1024 - 
     (435*T36[v, w, u])/1024 - (1089*T36[w, u, v])/2048 - 
     (307*T36[w, v, u])/1024 + (3*T38[u, w, v])/128 - (9*T38[v, u, w])/128 - 
     (9*T38[v, w, u])/128 + (3*T38[w, u, v])/128 - (9*T39[u, v, w])/512 - 
     (15*T39[u, w, v])/512 + (9*T39[v, u, w])/256 + (9*T39[v, w, u])/256 - 
     (15*T39[w, u, v])/512 - (9*T39[w, v, u])/512 + (27*T4[u, v, w])/256 + 
     (89*T4[u, w, v])/512 + (91*T4[v, u, w])/512 + (91*T4[v, w, u])/512 + 
     (89*T4[w, u, v])/512 + (27*T4[w, v, u])/256 + (11*T40[u, v, w])/512 - 
     (35*T40[u, w, v])/512 - (35*T40[w, u, v])/512 + (11*T40[w, v, u])/512 + 
     (35*T41[u, v, w])/512 + (7*T41[u, w, v])/512 + (7*T41[w, u, v])/512 + 
     (35*T41[w, v, u])/512 + (9*T42[u, v, w])/128 - (15*T42[u, w, v])/512 - 
     (15*T42[w, u, v])/512 + (9*T42[w, v, u])/128 + (3*T43[u, v, w])/512 - 
     (3*T43[u, w, v])/512 - (3*T43[w, u, v])/512 + (3*T43[w, v, u])/512 + 
     (3*T44[u, w, v])/256 - (3*T44[v, u, w])/256 - (3*T44[v, w, u])/256 + 
     (3*T44[w, u, v])/256 - (9*T45[u, v, w])/256 - (9*T45[u, w, v])/128 - 
     (9*T45[w, u, v])/128 - (9*T45[w, v, u])/256 + T46[u, v, w]/32 + 
     (5*T46[v, u, w])/64 + (5*T46[v, w, u])/64 + T46[w, v, u]/32 - 
     (3*T47[u, v, w])/256 - (3*T47[u, w, v])/128 - (3*T47[w, u, v])/128 - 
     (3*T47[w, v, u])/256 - (7*T48[u, w, v])/128 + T48[v, u, w]/64 + 
     T48[v, w, u]/64 - (7*T48[w, u, v])/128 + T49[u, v, w]/128 + 
     (5*T49[v, u, w])/512 + (5*T49[v, w, u])/512 + T49[w, v, u]/128 + 
     T5[u, v, w]/8 + (35*T5[u, w, v])/256 + (91*T5[v, u, w])/512 + 
     (91*T5[v, w, u])/512 + (35*T5[w, u, v])/256 + T5[w, v, u]/8 + 
     (7*T50[u, w, v])/512 + (5*T50[v, u, w])/64 + (5*T50[v, w, u])/64 + 
     (7*T50[w, u, v])/512 - T51[u, v, w]/64 + (7*T51[v, u, w])/128 + 
     (7*T51[v, w, u])/128 - T51[w, v, u]/64 - (3*T52[u, w, v])/512 - 
     (3*T52[v, u, w])/256 - (3*T52[v, w, u])/256 - (3*T52[w, u, v])/512 + 
     (7*T53[u, w, v])/512 - (3*T53[v, u, w])/512 - (3*T53[v, w, u])/512 + 
     (7*T53[w, u, v])/512 + (5*T54[u, v, w])/512 - (29*T54[v, u, w])/512 - 
     (29*T54[v, w, u])/512 + (5*T54[w, v, u])/512 - (9*T55[u, v, w])/128 + 
     (105*T55[v, u, w])/256 + (105*T55[v, w, u])/256 - (9*T55[w, v, u])/128 + 
     (45*T57[u, v, w])/256 + (75*T57[u, w, v])/1024 + 
     (75*T57[w, u, v])/1024 + (45*T57[w, v, u])/256 - (5*T58[u, v, w])/512 - 
     (3*T58[v, u, w])/512 - (3*T58[v, w, u])/512 - (5*T58[w, v, u])/512 + 
     (75*T59[v, w, u])/256 + (9*T6[u, v, w])/64 + (51*T6[u, w, v])/512 + 
     (17*T6[v, u, w])/64 + (17*T6[v, w, u])/64 + (51*T6[w, u, v])/512 + 
     (9*T6[w, v, u])/64 + (85*T60[u, v, w])/1024 + (65*T60[v, w, u])/1024 + 
     (85*T60[w, u, v])/1024 + (27*T61[u, v, w])/512 + (29*T61[v, w, u])/256 + 
     (27*T61[w, u, v])/512 + (27*T62[u, v, w])/512 + (7*T62[v, w, u])/64 + 
     (27*T62[w, u, v])/512 + (27*T64[u, v, w])/512 + (31*T64[v, w, u])/256 + 
     (27*T64[w, u, v])/512 + (85*T65[u, v, w])/1024 + 
     (65*T65[v, w, u])/1024 + (85*T65[w, u, v])/1024 + 
     (129*T66[u, v, w])/2048 + (63*T66[v, w, u])/512 + 
     (129*T66[w, u, v])/2048 - (189*T67[u, v, w])/256 - 
     (375*T67[v, w, u])/128 - (189*T67[w, u, v])/256 - 
     (3079*T68[u, v, w])/2048 - (701*T68[v, w, u])/512 - 
     (3079*T68[w, u, v])/2048 + (203*T69[u, v, w])/3072 + 
     (85*T69[v, w, u])/512 + (203*T69[w, u, v])/3072 + (19*T7[u, v, w])/128 + 
     (35*T7[u, w, v])/256 + (83*T7[v, u, w])/512 + (83*T7[v, w, u])/512 + 
     (35*T7[w, u, v])/256 + (19*T7[w, v, u])/128 + (45*T70[u, v, w])/512 + 
     (59*T70[v, w, u])/1024 + (45*T70[w, u, v])/512 + 
     (25*T71[u, v, w])/3072 + (91*T71[v, w, u])/1536 + 
     (25*T71[w, u, v])/3072 - (641*T72[u, v, w])/1536 - 
     (1429*T72[v, w, u])/3072 - (641*T72[w, u, v])/1536 - 
     (9*T73[u, v, w])/256 + (27*T73[v, w, u])/256 - (9*T73[w, u, v])/256 - 
     (77*T74[u, v, w])/512 - (781*T74[v, w, u])/2048 - 
     (77*T74[w, u, v])/512 - (3*T75[u, v, w])/256 + (9*T75[v, w, u])/256 - 
     (3*T75[w, u, v])/256 - (27*T76[v, w, u])/256 + (3*T77[u, v, w])/128 + 
     (3*T77[w, u, v])/128 - (9*T78[v, w, u])/256 - (9*T79[u, v, w])/512 + 
     (11*T79[v, w, u])/512 - (9*T79[w, u, v])/512 - 
     (2851*T80[u, v, w])/12288 - (2057*T80[v, w, u])/6144 - 
     (2851*T80[w, u, v])/12288 + (15*T81[v, w, u])/128 + 
     (11*T82[u, v, w])/512 + (9*T82[v, w, u])/512 + (11*T82[w, u, v])/512 - 
     (55*T83[u, v, w])/2048 + (29*T83[v, w, u])/3072 - 
     (55*T83[w, u, v])/2048 + (331*T84[u, v, w])/6144 + 
     (359*T84[v, w, u])/3072 + (331*T84[w, u, v])/6144 - 
     (3*T85[v, w, u])/64 - (9*T86[u, v, w])/2048 - T86[v, w, u]/2048 - 
     (9*T86[w, u, v])/2048 - (5*T88[u, v, w])/256 + T88[v, w, u]/32 - 
     (5*T88[w, u, v])/256 + (43*T89[u, v, w])/512 + (27*T89[v, w, u])/512 + 
     (43*T89[w, u, v])/512 + (85*T9[u, v, w])/512 + (9*T9[u, w, v])/64 + 
     (19*T9[v, u, w])/128 + (19*T9[v, w, u])/128 + (9*T9[w, u, v])/64 + 
     (85*T9[w, v, u])/512 - (3895*T90[u, v, w])/3072 - 
     (24763*T90[v, w, u])/6144 - (3895*T90[w, u, v])/3072 - 
     (10887*T91[u, v, w])/128 - (1329*T91[v, w, u])/8 - 
     (10887*T91[w, u, v])/128 - (87*T92[u, v, w])/512 - 
     (87*T92[w, u, v])/512 + (28951*T93[u, v, w])/12288 + 
     (42823*T93[v, w, u])/12288 + (28951*T93[w, u, v])/12288 - 
     (4643*T94[u, v, w])/4096 - (7411*T94[v, w, u])/1536 - 
     (4643*T94[w, u, v])/4096 + (285*T95[v, w, u])/1024 - 
     (3393*T96[u, v, w])/8192 - (13337*T96[v, w, u])/12288 - 
     (3393*T96[w, u, v])/8192 + (6547*T97[u, v, w])/12288 - 
     (161*T97[v, w, u])/6144 + (6547*T97[w, u, v])/12288 + 
     (3*T98[u, v, w])/256 + T99[u, v, w]/256 - (13733*B1[u, v, w]*\[Zeta][2])/
      3072 - (30905*B1[u, w, v]*\[Zeta][2])/3072 - 
     (183*B1[v, u, w]*\[Zeta][2])/16 - (183*B1[v, w, u]*\[Zeta][2])/16 - 
     (30905*B1[w, u, v]*\[Zeta][2])/3072 - (13733*B1[w, v, u]*\[Zeta][2])/
      3072 - (105*B10[u, v, w]*\[Zeta][2])/256 - 
     (105*B10[w, u, v]*\[Zeta][2])/256 + (95363*B11[u, v, w]*\[Zeta][2])/
      3072 + (2407*B11[v, w, u]*\[Zeta][2])/64 + 
     (95363*B11[w, u, v]*\[Zeta][2])/3072 - (82355*B2[u, v, w]*\[Zeta][2])/
      6144 - (114455*B2[u, w, v]*\[Zeta][2])/6144 - 
     (2407*B2[v, u, w]*\[Zeta][2])/128 - (2407*B2[v, w, u]*\[Zeta][2])/128 - 
     (114455*B2[w, u, v]*\[Zeta][2])/6144 - (82355*B2[w, v, u]*\[Zeta][2])/
      6144 - (30905*B3[u, v, w]*\[Zeta][2])/3072 - 
     (1737*B3[v, w, u]*\[Zeta][2])/256 - (30905*B3[w, u, v]*\[Zeta][2])/
      3072 - (114455*B4[u, v, w]*\[Zeta][2])/6144 - 
     (3385*B4[v, w, u]*\[Zeta][2])/256 - (114455*B4[w, u, v]*\[Zeta][2])/
      6144 - (B5[u, v, w]*\[Zeta][2])/128 + (107*B5[u, w, v]*\[Zeta][2])/
      256 + (107*B5[w, u, v]*\[Zeta][2])/256 - (B5[w, v, u]*\[Zeta][2])/128 + 
     (143*B6[u, w, v]*\[Zeta][2])/512 + (45*B6[v, u, w]*\[Zeta][2])/128 + 
     (45*B6[v, w, u]*\[Zeta][2])/128 + (143*B6[w, u, v]*\[Zeta][2])/512 - 
     (46175*B7[u, v, w]*\[Zeta][2])/2048 - (41989*B7[v, w, u]*\[Zeta][2])/
      3072 - (46175*B7[w, u, v]*\[Zeta][2])/2048 + 
     (100697*B8[u, v, w]*\[Zeta][2])/6144 + (44641*B8[v, w, u]*\[Zeta][2])/
      3072 + (100697*B8[w, u, v]*\[Zeta][2])/6144 + 
     (245269*B9[u, v, w]*\[Zeta][2])/1024 + (161565*B9[v, w, u]*\[Zeta][2])/
      1024 + (245269*B9[w, u, v]*\[Zeta][2])/1024 - 
     (747*HPL[{1}, 1 - u]^6*\[Zeta][2])/4096 - 
     (52681*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]*\[Zeta][2])/147456 + 
     (52441*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*\[Zeta][2])/32768 + 
     (5041847*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*\[Zeta][2])/73728 + 
     (129941*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4*\[Zeta][2])/147456 - 
     (73807*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5*\[Zeta][2])/294912 + 
     (243*HPL[{1}, 1 - v]^6*\[Zeta][2])/2048 - 
     (36593*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w]*\[Zeta][2])/98304 - 
     (545431*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2])/
      73728 - (4621069*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       \[Zeta][2])/98304 - (14116975*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
       HPL[{1}, 1 - w]*\[Zeta][2])/294912 - 
     (134807*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*\[Zeta][2])/
      36864 - (73807*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]*\[Zeta][2])/294912 + 
     (40583*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^2*\[Zeta][2])/98304 - 
     (7049399*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][2])/
      147456 + (987529*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
       \[Zeta][2])/4608 - (14060527*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
       HPL[{1}, 1 - w]^2*\[Zeta][2])/294912 + 
     (62837*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2*\[Zeta][2])/147456 + 
     (2370911*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^3*\[Zeta][2])/36864 - 
     (7116503*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*\[Zeta][2])/
      147456 - (4639885*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*
       \[Zeta][2])/98304 + (5089511*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3*
       \[Zeta][2])/73728 + (59399*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4*
       \[Zeta][2])/98304 - (545431*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^4*\[Zeta][2])/73728 + 
     (46169*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4*\[Zeta][2])/32768 - 
     (36593*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^5*\[Zeta][2])/98304 - 
     (52681*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5*\[Zeta][2])/147456 - 
     (747*HPL[{1}, 1 - w]^6*\[Zeta][2])/4096 - 
     (11121*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - u]*\[Zeta][2])/4096 + 
     (588467*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2])/
      18432 + (3436771*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
       \[Zeta][2])/18432 + (17274491*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - u]*\[Zeta][2])/147456 + 
     (170711*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u]*\[Zeta][2])/49152 + 
     (8532359*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       \[Zeta][2])/294912 - (44225089*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2])/73728 - 
     (78586379*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*\[Zeta][2])/294912 - 
     (4967915*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       \[Zeta][2])/49152 + (9235999*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u]*\[Zeta][2])/49152 - 
     (12369871*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u]*\[Zeta][2])/73728 + 
     (10795243*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       \[Zeta][2])/73728 + (1572955*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u]*\[Zeta][2])/16384 - 
     (4639699*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
       \[Zeta][2])/49152 + (47597*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u]*
       \[Zeta][2])/147456 + (358913*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]^2*
       \[Zeta][2])/3072 - (1960369*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]^2*\[Zeta][2])/98304 + 
     (28691*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2*\[Zeta][2])/4096 - 
     (223673*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*\[Zeta][2])/
      8192 - (7069439*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
       \[Zeta][2])/98304 + (19787*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*
       \[Zeta][2])/1536 - (88565*HPL[{0, 1}, 1 - u]^3*\[Zeta][2])/768 + 
     (22883*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - v]*\[Zeta][2])/8192 + 
     (4001141*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/36864 + (13828925*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/73728 + 
     (9742637*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/294912 - (4163*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/3072 - (7177019*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/73728 - 
     (24791591*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/98304 - 
     (23302075*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/36864 + 
     (9560621*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/294912 + (568309*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/4096 - 
     (26252503*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/98304 + 
     (14319617*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/73728 - (6911855*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/73728 + 
     (3953207*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/36864 + (89993*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/24576 + (1496273*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/12288 - 
     (12564593*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/147456 + 
     (17195231*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/147456 - (4083801*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][2])/8192 - 
     (27614189*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/49152 + 
     (44107*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/49152 - (1054695*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/8192 + (1256683*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^2*
       \[Zeta][2])/36864 - (9748561*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - v]^2*\[Zeta][2])/294912 + 
     (759449*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]^2*\[Zeta][2])/6144 - 
     (12542155*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
       \[Zeta][2])/147456 - (10550353*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]^2*\[Zeta][2])/294912 + 
     (431683*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2*\[Zeta][2])/36864 - 
     (4257931*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*\[Zeta][2])/24576 - 
     (61723*HPL[{0, 1}, 1 - v]^3*\[Zeta][2])/512 + 
     (175661*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - w]*\[Zeta][2])/147456 - 
     (1586281*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/16384 + (11417131*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/73728 - 
     (5291651*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/49152 + (156311*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/49152 + (1650291*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/16384 - 
     (13972987*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/73728 - 
     (71716091*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/294912 + 
     (16349555*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/147456 + (9486823*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/49152 - 
     (44764297*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/73728 + 
     (1738757*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/9216 + (8901383*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/294912 + 
     (565403*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*\[Zeta][2])/
      18432 - (11121*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]*\[Zeta][2])/4096 + 
     (1669145*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/16384 - (8639819*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][2])/16384 - 
     (398371*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/24576 - (847387*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][2])/8192 - 
     (8015003*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/16384 + 
     (4834571*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/49152 - (322297*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/4096 - (524101*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/49152 - 
     (25239437*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/49152 + 
     (16880351*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/147456 - (13254083*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2])/24576 - 
     (12171857*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/147456 + 
     (513163*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/4096 - (387559*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/3072 - 
     (4257931*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2])/24576 + 
     (6337*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]^2*\[Zeta][2])/3072 - 
     (2873973*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
       \[Zeta][2])/32768 + (413081*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2*
       \[Zeta][2])/12288 - (178137*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]^2*\[Zeta][2])/8192 - 
     (2506801*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
       \[Zeta][2])/98304 + (358913*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2*
       \[Zeta][2])/3072 - (322297*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
       \[Zeta][2])/4096 - (1054695*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
       \[Zeta][2])/8192 - (88565*HPL[{0, 1}, 1 - w]^3*\[Zeta][2])/768 - 
     (74611*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/12288 + 
     (693*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/
      1024 + (5644925*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/294912 + (14951*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/36864 - (1132685*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/98304 + 
     (5403447*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/16384 + 
     (14618507*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/294912 + (500745*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/32768 + 
     (3349099*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/49152 - (3619*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/4096 + (5679007*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/12288 - 
     (1076287*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/49152 + (286333*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/49152 + 
     (20748719*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/36864 + (1808725*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/36864 - 
     (4814525*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/73728 + (26887529*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/49152 - 
     (710407*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/16384 + (395797*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/12288 - 
     (6961*HPL[{0, 0, 1}, 1 - u]^2*\[Zeta][2])/2048 - 
     (9931*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/9216 + 
     (252217*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/147456 + (3704245*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/98304 - 
     (77447*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/6144 + 
     (21074311*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/294912 + (1968923*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/8192 + 
     (4062133*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/98304 + (21262471*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/294912 - 
     (197255*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/147456 - (4051*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/9216 + (848579*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/18432 + 
     (79559969*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/147456 - (8722043*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/147456 - 
     (46361*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/8192 + (2922463*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/6144 - 
     (46361*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/8192 - (8533883*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/147456 + 
     (79112609*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/147456 + (872099*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/18432 + 
     (4566727*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/12288 - 
     (3017*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/12288 + 
     (1091513*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/16384 + (14430347*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/294912 + 
     (70871*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/36864 + 
     (1414427*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/98304 + (5488183*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/16384 + 
     (4383101*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/294912 - (1283213*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/98304 + 
     (2261*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/1024 - (74611*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/12288 + (137159*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/4096 - 
     (2528021*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/49152 + (27197929*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/49152 - 
     (4537085*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/73728 + (1920565*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/36864 + 
     (20515919*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/36864 + (38653*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/49152 - 
     (828607*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/49152 + (5679007*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/12288 + 
     (961231*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/2048 + 
     (4566727*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/12288 - 
     (6961*HPL[{0, 0, 1}, 1 - w]^2*\[Zeta][2])/2048 + 
     (5897*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/6144 - 
     (1107161*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/36864 - (2984977*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/8192 + 
     (882217*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/73728 - 
     (851063*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/24576 + (36352877*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/73728 + 
     (712397*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/1536 - (179215*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/512 + 
     (29882591*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/73728 + (1800097*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/73728 + (18805*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/6144 + 
     (249247*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/12288 - (31759*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/1536 + 
     (183521*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/1536 + (15701081*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/73728 - 
     (335083*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/6144 + (1538267*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/12288 - 
     (258187*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/4096 + (648765*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/4096 + 
     (17471*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/6144 + 
     (29931*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/512 + 
     (144173*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/2048 - 
     (1213*HPL[{0, 1, 1}, 1 - u]^2*\[Zeta][2])/512 + 
     (184621*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/9216 - 
     (24762893*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/73728 - (3020957*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/73728 - 
     (713*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/1536 + 
     (29678581*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/73728 + (22087219*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/36864 - 
     (3289373*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/73728 + (29725621*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/73728 - 
     (24761837*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/73728 + (190501*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/9216 + (13382165*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/73728 + 
     (3800147*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/36864 - (721559*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/36864 + 
     (1014143*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/18432 - (5737*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/1536 + 
     (1014143*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/18432 - (900311*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/36864 + 
     (4225139*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/36864 + (13024661*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/73728 + 
     (160285*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/6144 + 
     (160285*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/6144 - 
     (36180761*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/
      24576 + (1847137*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/
      73728 + (29770751*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/73728 + 
     (237139*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/512 + (994057*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/73728 - (534313*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/1536 + 
     (35971565*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/73728 - 
     (8881139*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/24576 - (813431*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/24576 - 
     (1163609*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/36864 + (5897*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/6144 + (1886711*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/12288 - 
     (676769*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/12288 + (1522555*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/12288 - 
     (283355*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/6144 + (14851097*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/73728 + 
     (185485*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/1536 - (37243*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/1536 + 
     (293119*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/12288 + (18805*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/6144 + 
     (144173*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/2048 + 
     (29931*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/512 + 
     (17471*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/6144 - 
     (14503657*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/
      12288 - (36180761*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/24576 - (1213*HPL[{0, 1, 1}, 1 - w]^2*\[Zeta][2])/512 - 
     (8513*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2])/1024 + 
     (336439*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
       \[Zeta][2])/3072 - (16753*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - u]*
       \[Zeta][2])/768 + (722785*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2])/6144 + 
     (1790941*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
       \[Zeta][2])/2048 - (40183*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u]*
       \[Zeta][2])/1536 + (21965*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
       \[Zeta][2])/48 + (265211*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
       \[Zeta][2])/512 + (63469*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
       \[Zeta][2])/128 - (45839*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - v]*
       \[Zeta][2])/1536 + (686027*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2])/6144 - 
     (6355*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2])/768 + 
     (2873123*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
       \[Zeta][2])/3072 + (663659*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2])/6144 - 
     (43487*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2])/1536 + 
     (383207*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2])/768 + 
     (61723*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2])/128 + 
     (383207*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2])/768 - 
     (37831*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][2])/1536 + 
     (1780349*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
       \[Zeta][2])/2048 - (13957*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - w]*
       \[Zeta][2])/768 + (732193*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][2])/6144 + 
     (331735*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
       \[Zeta][2])/3072 - (8513*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w]*
       \[Zeta][2])/1024 + (63469*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
       \[Zeta][2])/128 + (265211*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
       \[Zeta][2])/512 + (21965*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
       \[Zeta][2])/48 + (115*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - u]*
       \[Zeta][2])/128 + (1249329*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2])/8192 + 
     (125395*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2])/4096 + 
     (206131*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
       \[Zeta][2])/1024 + (192497*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2])/6144 + 
     (415883*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2])/12288 + 
     (957*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2])/128 - 
     (37457*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2])/1024 - 
     (39763*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2])/1536 + 
     (101333*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2])/3072 + 
     (3307613*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*
       \[Zeta][2])/24576 - (233*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - v]*
       \[Zeta][2])/64 + (20293*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2])/768 + 
     (2860253*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
       \[Zeta][2])/24576 + (124853*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v]*
       \[Zeta][2])/3072 - (12383*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*
       \[Zeta][2])/1024 - (12383*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
       \[Zeta][2])/1024 + (509963*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - w]*
       \[Zeta][2])/12288 + (33617*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2])/6144 + 
     (199955*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2])/4096 + 
     (213971*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
       \[Zeta][2])/1024 + (1186609*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2])/8192 + 
     (115*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2])/128 - 
     (39763*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2])/1536 - 
     (37457*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2])/1024 + 
     (957*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2])/128 + 
     (24431*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2])/2048 + 
     (2112673*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
       \[Zeta][2])/12288 + (337651*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u]*
       \[Zeta][2])/16384 + (1042051*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2])/6144 - 
     (3931977*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
       \[Zeta][2])/8192 - (1013491*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u]*
       \[Zeta][2])/49152 - (87993*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*
       \[Zeta][2])/128 - (1448819*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*
       \[Zeta][2])/2048 - (689015*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
       \[Zeta][2])/1024 - (11983*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - v]*
       \[Zeta][2])/1024 + (614009*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2])/4096 + 
     (6355*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2])/512 - 
     (5966329*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
       \[Zeta][2])/12288 + (658745*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2])/4096 - 
     (16687*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2])/1024 - 
     (1578547*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2])/2048 - 
     (185169*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2])/256 - 
     (1578547*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2])/2048 - 
     (1239283*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2])/49152 - 
     (3804873*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
       \[Zeta][2])/8192 + (158707*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - w]*
       \[Zeta][2])/16384 + (1013827*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2])/6144 + 
     (2169121*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
       \[Zeta][2])/12288 + (24431*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w]*
       \[Zeta][2])/2048 - (689015*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
       \[Zeta][2])/1024 - (1448819*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2])/2048 - 
     (87993*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2])/128 + 
     (731*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u]*\[Zeta][2])/384 - 
     (5383*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u]*\[Zeta][2])/768 + 
     (3907*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*\[Zeta][2])/768 + 
     (149*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v]*\[Zeta][2])/96 - 
     (703*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v]*\[Zeta][2])/192 + 
     (149*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v]*\[Zeta][2])/96 + 
     (3907*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w]*\[Zeta][2])/768 - 
     (5383*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w]*\[Zeta][2])/768 + 
     (731*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*\[Zeta][2])/384 - 
     (3379*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u]*\[Zeta][2])/384 + 
     (14871*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u]*\[Zeta][2])/256 - 
     (9745*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*\[Zeta][2])/256 - 
     (311*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v]*\[Zeta][2])/48 + 
     (3515*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v]*\[Zeta][2])/192 - 
     (311*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*\[Zeta][2])/48 - 
     (9745*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w]*\[Zeta][2])/256 + 
     (14871*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w]*\[Zeta][2])/256 - 
     (3379*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w]*\[Zeta][2])/384 - 
     (551*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u]*\[Zeta][2])/128 + 
     (70891*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u]*\[Zeta][2])/2048 - 
     (48315*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u]*\[Zeta][2])/2048 - 
     (257*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v]*\[Zeta][2])/64 + 
     (703*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v]*\[Zeta][2])/64 - 
     (257*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*\[Zeta][2])/64 - 
     (48315*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w]*\[Zeta][2])/2048 + 
     (70891*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w]*\[Zeta][2])/2048 - 
     (551*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w]*\[Zeta][2])/128 - 
     (375*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u]*\[Zeta][2])/32 - 
     (1565287*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u]*\[Zeta][2])/8192 - 
     (356735*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u]*\[Zeta][2])/4096 - 
     (3435941*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v]*\[Zeta][2])/8192 + 
     (2101*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v]*\[Zeta][2])/64 - 
     (3435941*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v]*\[Zeta][2])/8192 - 
     (356735*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w]*\[Zeta][2])/4096 - 
     (1565287*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w]*\[Zeta][2])/8192 - 
     (375*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w]*\[Zeta][2])/32 - 
     (1279*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u]*\[Zeta][2])/384 - 
     (1665451*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u]*\[Zeta][2])/24576 - 
     (111391*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*\[Zeta][2])/4096 - 
     (3416869*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v]*\[Zeta][2])/24576 + 
     (3499*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v]*\[Zeta][2])/384 - 
     (3416869*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*\[Zeta][2])/24576 - 
     (111391*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w]*\[Zeta][2])/4096 - 
     (1665451*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w]*\[Zeta][2])/24576 - 
     (1279*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w]*\[Zeta][2])/384 - 
     (97*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u]*\[Zeta][2])/128 - 
     (240925*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u]*\[Zeta][2])/3072 - 
     (225601*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u]*\[Zeta][2])/3072 + 
     (89273*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v]*\[Zeta][2])/1536 + 
     (89273*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v]*\[Zeta][2])/1536 - 
     (225601*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w]*\[Zeta][2])/3072 - 
     (240925*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w]*\[Zeta][2])/3072 - 
     (97*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w]*\[Zeta][2])/128 - 
     (9*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*\[Zeta][2])/64 - 
     (9*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*\[Zeta][2])/64 + 
     (9*HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*\[Zeta][2])/8 + 
     (9*HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*\[Zeta][2])/8 + 
     (7*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*\[Zeta][2])/8 + 
     (7*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*\[Zeta][2])/8 - 
     (371*HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*\[Zeta][2])/8 - 
     (371*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*\[Zeta][2])/8 - 
     (1993*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*\[Zeta][2])/128 - 
     (1993*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*\[Zeta][2])/128 - 
     (15*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*\[Zeta][2])/128 - 
     (15*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*\[Zeta][2])/128 - 
     (131*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*\[Zeta][2])/32 - 
     (131*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*\[Zeta][2])/32 - 
     (39*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*\[Zeta][2])/128 - 
     (39*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*\[Zeta][2])/128 - 
     (35*HPL[{0, 1, 1, 1, 1, 1}, 1 - u]*\[Zeta][2])/32 - 
     (35*HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*\[Zeta][2])/32 + 
     (539*HPL[{1}, 1 - u]*M1[u, v, w]*\[Zeta][2])/384 - 
     (701*HPL[{1}, 1 - v]*M1[u, v, w]*\[Zeta][2])/384 + 
     (53*HPL[{1}, 1 - w]*M1[u, v, w]*\[Zeta][2])/384 - 
     (245*HPL[{1}, 1 - u]*M1[v, u, w]*\[Zeta][2])/384 + 
     (HPL[{1}, 1 - v]*M1[v, u, w]*\[Zeta][2])/192 + 
     (241*HPL[{1}, 1 - w]*M1[v, u, w]*\[Zeta][2])/384 + 
     (535*HPL[{1}, 1 - u]*M1[v, w, u]*\[Zeta][2])/384 - 
     (697*HPL[{1}, 1 - v]*M1[v, w, u]*\[Zeta][2])/384 + 
     (49*HPL[{1}, 1 - w]*M1[v, w, u]*\[Zeta][2])/384 + 
     (49*HPL[{1}, 1 - u]*M1[w, u, v]*\[Zeta][2])/64 - 
     (233*HPL[{1}, 1 - v]*M1[w, u, v]*\[Zeta][2])/128 + 
     (49*HPL[{1}, 1 - w]*M1[w, u, v]*\[Zeta][2])/64 - 
     (241*HPL[{1}, 1 - u]*M1[w, v, u]*\[Zeta][2])/384 - 
     (HPL[{1}, 1 - v]*M1[w, v, u]*\[Zeta][2])/192 + 
     (245*HPL[{1}, 1 - w]*M1[w, v, u]*\[Zeta][2])/384 - 
     (HPL[{1}, 1 - u]*Nt[u, v, w]*\[Zeta][2])/96 + 
     (HPL[{1}, 1 - v]*Nt[u, v, w]*\[Zeta][2])/96 - 
     (HPL[{1}, 1 - w]*Nt[u, v, w]*\[Zeta][2])/96 - 
     (10979*HPL[{1}, 1 - u]^2*Omega2[u, v, w]*\[Zeta][2])/1536 - 
     (495071*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[u, v, w]*\[Zeta][2])/
      2048 - (9151*HPL[{1}, 1 - v]^2*Omega2[u, v, w]*\[Zeta][2])/1536 + 
     (1392931*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[u, v, w]*\[Zeta][2])/
      6144 + (29923*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w]*
       \[Zeta][2])/128 - (1739*HPL[{1}, 1 - w]^2*Omega2[u, v, w]*\[Zeta][2])/
      256 + (233465*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*\[Zeta][2])/1024 + 
     (61723*HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*\[Zeta][2])/256 + 
     (832625*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*\[Zeta][2])/3072 - 
     (1739*HPL[{1}, 1 - u]^2*Omega2[v, w, u]*\[Zeta][2])/256 + 
     (29727*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[v, w, u]*\[Zeta][2])/128 - 
     (3559*HPL[{1}, 1 - v]^2*Omega2[v, w, u]*\[Zeta][2])/1536 + 
     (1402339*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[v, w, u]*\[Zeta][2])/
      6144 - (505663*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[v, w, u]*
       \[Zeta][2])/2048 - (8627*HPL[{1}, 1 - w]^2*Omega2[v, w, u]*\[Zeta][2])/
      1536 + (832625*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*\[Zeta][2])/3072 + 
     (61723*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*\[Zeta][2])/256 + 
     (233465*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*\[Zeta][2])/1024 - 
     (1625*HPL[{1}, 1 - u]^2*Omega2[w, u, v]*\[Zeta][2])/3072 + 
     (1359367*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[w, u, v]*\[Zeta][2])/
      6144 + (3313*HPL[{1}, 1 - v]^2*Omega2[w, u, v]*\[Zeta][2])/3072 - 
     (244461*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[w, u, v]*\[Zeta][2])/
      1024 + (1381735*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[w, u, v]*
       \[Zeta][2])/6144 - (6329*HPL[{1}, 1 - w]^2*Omega2[w, u, v]*\[Zeta][2])/
      3072 + (709733*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*\[Zeta][2])/3072 + 
     (422599*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*\[Zeta][2])/1536 + 
     (709733*HPL[{0, 1}, 1 - w]*Omega2[w, u, v]*\[Zeta][2])/3072 - 
     (149*HPL[{1}, 1 - u]*Ot[u, v, w]*\[Zeta][2])/192 + 
     (703*HPL[{1}, 1 - v]*Ot[u, v, w]*\[Zeta][2])/384 - 
     (149*HPL[{1}, 1 - w]*Ot[u, v, w]*\[Zeta][2])/192 - 
     (27467*Phi6[u, v, w]^2*\[Zeta][2])/256 - 
     (211*HPL[{1}, 1 - u]*Qep[u, v, w]*\[Zeta][2])/72 - 
     (HPL[{1}, 1 - v]*Qep[u, v, w]*\[Zeta][2])/9 + 
     (227*HPL[{1}, 1 - w]*Qep[u, v, w]*\[Zeta][2])/72 + 
     (9325*HPL[{1}, 1 - u]*Qep[u, w, v]*\[Zeta][2])/288 - 
     (10483*HPL[{1}, 1 - v]*Qep[u, w, v]*\[Zeta][2])/288 - 
     (1319*HPL[{1}, 1 - w]*Qep[u, w, v]*\[Zeta][2])/288 + 
     (2773*HPL[{1}, 1 - u]*Qep[v, u, w]*\[Zeta][2])/96 - 
     (1333*HPL[{1}, 1 - v]*Qep[v, u, w]*\[Zeta][2])/32 + 
     (905*HPL[{1}, 1 - w]*Qep[v, u, w]*\[Zeta][2])/96 - 
     (221*HPL[{1}, 1 - u]*Qep[v, w, u]*\[Zeta][2])/32 - 
     (271*HPL[{1}, 1 - v]*Qep[v, w, u]*\[Zeta][2])/96 + 
     (1205*HPL[{1}, 1 - w]*Qep[v, w, u]*\[Zeta][2])/96 - 
     (6023*HPL[{1}, 1 - u]*Qep[w, u, v]*\[Zeta][2])/288 + 
     (701*HPL[{1}, 1 - v]*Qep[w, u, v]*\[Zeta][2])/288 + 
     (4621*HPL[{1}, 1 - w]*Qep[w, u, v]*\[Zeta][2])/288 + 
     (1403*HPL[{1}, 1 - u]*Qep[w, v, u]*\[Zeta][2])/72 - 
     (701*HPL[{1}, 1 - v]*Qep[w, v, u]*\[Zeta][2])/18 + 
     (965*HPL[{1}, 1 - w]*Qep[w, v, u]*\[Zeta][2])/72 + 
     (63621*HPL[{1}, 1 - u]^4*\[Zeta][2]^2)/20480 + 
     (598003*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*\[Zeta][2]^2)/15360 - 
     (47218667*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*\[Zeta][2]^2)/122880 + 
     (6022379*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*\[Zeta][2]^2)/184320 + 
     (32681*HPL[{1}, 1 - v]^4*\[Zeta][2]^2)/15360 + 
     (8983027*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*\[Zeta][2]^2)/184320 + 
     (378709*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2]^2)/
      1440 + (3107701*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       \[Zeta][2]^2)/9216 + (6022379*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       \[Zeta][2]^2)/184320 - (1525483*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       \[Zeta][2]^2)/4096 + (378709*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*\[Zeta][2]^2)/1440 - 
     (47218667*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*\[Zeta][2]^2)/122880 + 
     (8983027*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*\[Zeta][2]^2)/184320 + 
     (598003*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*\[Zeta][2]^2)/15360 + 
     (63621*HPL[{1}, 1 - w]^4*\[Zeta][2]^2)/20480 - 
     (4897959*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2]^2)/10240 - 
     (100649*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2]^2)/
      7680 - (16330951*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2]^2)/
      30720 + (625787*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       \[Zeta][2]^2)/30720 + (8379121*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*\[Zeta][2]^2)/15360 - 
     (15592157*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2]^2)/30720 - 
     (2245747*HPL[{0, 1}, 1 - u]^2*\[Zeta][2]^2)/10240 - 
     (170263*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2]^2)/320 - 
     (662257*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][2]^2)/
      30720 - (7422359*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2]^2)/
      15360 + (4406669*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       \[Zeta][2]^2)/7680 - (1109617*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*\[Zeta][2]^2)/30720 - 
     (168303*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2]^2)/320 - 
     (1302877*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][2]^2)/1280 - 
     (1250051*HPL[{0, 1}, 1 - v]^2*\[Zeta][2]^2)/5120 - 
     (15403997*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2)/30720 + 
     (8061361*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2]^2)/15360 - (15883591*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
       \[Zeta][2]^2)/30720 + (813947*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2]^2)/30720 - 
     (147689*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2)/
      7680 - (4897959*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2)/
      10240 - (15260299*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2)/
      15360 - (1302877*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2)/
      1280 - (2245747*HPL[{0, 1}, 1 - w]^2*\[Zeta][2]^2)/10240 - 
     (2525737*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2]^2)/2560 - 
     (29359*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2]^2)/1920 + 
     (123109*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2]^2)/7680 + 
     (119*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2]^2)/16 - 
     (1246271*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2]^2)/1280 + 
     (119*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2]^2)/16 + 
     (123109*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2]^2)/7680 - 
     (29359*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2]^2)/1920 - 
     (2525737*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2]^2)/2560 - 
     (22153*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2]^2)/3840 + 
     (28843001*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2]^2)/30720 + 
     (26935687*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2]^2)/30720 + 
     (15173341*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2]^2)/15360 + 
     (12953*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2]^2)/1920 + 
     (15173341*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2]^2)/15360 + 
     (26935687*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2]^2)/30720 + 
     (28843001*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2]^2)/30720 - 
     (22153*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2]^2)/3840 - 
     (2509991*HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2]^2)/2560 - 
     (1243489*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2]^2)/1280 - 
     (2509991*HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][2]^2)/2560 - 
     (201*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2]^2)/16 - 
     (201*HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2]^2)/16 + 
     (7549413*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2]^2)/5120 + 
     (3730467*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2]^2)/2560 + 
     (7549413*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2]^2)/5120 - 
     (1243489*Omega2[u, v, w]*\[Zeta][2]^2)/2560 - 
     (1243489*Omega2[v, w, u]*\[Zeta][2]^2)/2560 - 
     (128047*Omega2[w, u, v]*\[Zeta][2]^2)/256 + 
     (12734011*HPL[{1}, 1 - u]^2*\[Zeta][2]^3)/26880 + 
     (5370199*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][2]^3)/32256 + 
     (12970807*HPL[{1}, 1 - v]^2*\[Zeta][2]^3)/26880 + 
     (3771407*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*\[Zeta][2]^3)/26880 + 
     (5370199*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2]^3)/32256 + 
     (12734011*HPL[{1}, 1 - w]^2*\[Zeta][2]^3)/26880 + 
     (3520037*HPL[{0, 1}, 1 - u]*\[Zeta][2]^3)/1280 + 
     (1790849*HPL[{0, 1}, 1 - v]*\[Zeta][2]^3)/640 + 
     (3520037*HPL[{0, 1}, 1 - w]*\[Zeta][2]^3)/1280 - 
     (118663501*\[Zeta][2]^4)/33600 - (407*HPL[{1}, 1 - u]^5*\[Zeta][3])/
      768 + (30019*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*\[Zeta][3])/36864 - 
     (45607*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*\[Zeta][3])/98304 - 
     (4233029*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*\[Zeta][3])/147456 + 
     (233807*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*\[Zeta][3])/147456 + 
     (89*HPL[{1}, 1 - v]^5*\[Zeta][3])/384 - 
     (1967*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*\[Zeta][3])/147456 + 
     (22879*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][3])/
      73728 + (3043555*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       \[Zeta][3])/147456 + (52061*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
       HPL[{1}, 1 - w]*\[Zeta][3])/36864 + 
     (233807*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*\[Zeta][3])/147456 - 
     (9042937*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*\[Zeta][3])/294912 + 
     (1958375*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][3])/
      73728 + (3043555*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
       \[Zeta][3])/147456 - (54905*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
       \[Zeta][3])/147456 - (686689*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
       \[Zeta][3])/294912 + (22879*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^3*\[Zeta][3])/73728 - 
     (2831023*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*\[Zeta][3])/98304 - 
     (1967*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*\[Zeta][3])/147456 + 
     (30019*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*\[Zeta][3])/36864 - 
     (407*HPL[{1}, 1 - w]^5*\[Zeta][3])/768 + 
     (346981*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*\[Zeta][3])/6144 + 
     (395869*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][3])/
      18432 - (848535*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
       \[Zeta][3])/16384 - (1355675*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
       \[Zeta][3])/24576 + (39357*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*\[Zeta][3])/2048 + 
     (5734235*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*\[Zeta][3])/36864 + 
     (3482201*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       \[Zeta][3])/73728 - (1899323*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u]*\[Zeta][3])/49152 + 
     (3608899*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       \[Zeta][3])/73728 - (172063*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
       \[Zeta][3])/49152 - (177073*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*
       \[Zeta][3])/1536 - (161207*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
       \[Zeta][3])/3072 + (712999*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
       \[Zeta][3])/12288 - (669697*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
       \[Zeta][3])/147456 - (108341*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - v]*\[Zeta][3])/4096 + 
     (442555*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*\[Zeta][3])/
      12288 + (110067*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*\[Zeta][3])/2048 + 
     (1738817*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       \[Zeta][3])/36864 + (2850139*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][3])/18432 + 
     (442555*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][3])/
      12288 + (1738817*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       \[Zeta][3])/36864 - (557141*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v]*\[Zeta][3])/12288 - 
     (9025945*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*\[Zeta][3])/147456 + 
     (4849795*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       \[Zeta][3])/24576 - (938669*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*\[Zeta][3])/4608 + 
     (9205823*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       \[Zeta][3])/36864 + (2312255*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
       \[Zeta][3])/36864 - (346175*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
       \[Zeta][3])/3072 - (1865869*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
       \[Zeta][3])/36864 - (2957479*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*
       \[Zeta][3])/49152 + (3608899*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*\[Zeta][3])/73728 + 
     (3482201*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
       \[Zeta][3])/73728 + (37033*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*
       \[Zeta][3])/24576 - (2827795*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*\[Zeta][3])/49152 + 
     (5734235*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*\[Zeta][3])/36864 - 
     (1617133*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       \[Zeta][3])/49152 + (39357*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w]*\[Zeta][3])/2048 + 
     (395869*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*\[Zeta][3])/
      18432 + (346981*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*\[Zeta][3])/6144 - 
     (1880913*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       \[Zeta][3])/8192 + (1709975*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w]*\[Zeta][3])/6144 + 
     (4570453*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       \[Zeta][3])/24576 + (9205823*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*\[Zeta][3])/36864 + 
     (1952609*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       \[Zeta][3])/9216 - (1787799*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*\[Zeta][3])/8192 - 
     (679709*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*\[Zeta][3])/12288 + 
     (93485*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*\[Zeta][3])/1536 - 
     (177073*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*\[Zeta][3])/1536 + 
     (351581*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*\[Zeta][3])/1536 + 
     (32615*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][3])/
      6144 - (5290171*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*\[Zeta][3])/
      147456 + (1378801*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][3])/6144 + (2783735*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u]*\[Zeta][3])/12288 - 
     (6392239*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*\[Zeta][3])/49152 + 
     (171775*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][3])/768 + 
     (11385317*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][3])/73728 - 
     (812515*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][3])/24576 - 
     (151063*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*\[Zeta][3])/1152 + 
     (117699*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][3])/512 + (340561*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][3])/1536 + (1395059*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][3])/6144 + 
     (205*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][3])/
      64 - (676123*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*\[Zeta][3])/
      18432 - (648839*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][3])/
      18432 + (346081*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][3])/
      1536 + (2832931*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][3])/
      18432 - (583293*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*\[Zeta][3])/
      16384 + (2783735*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][3])/12288 - (19217251*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][3])/147456 - (13907*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w]*\[Zeta][3])/6144 + 
     (1425323*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][3])/6144 + (351581*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][3])/1536 + (1276615*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][3])/8192 - (2541763*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][3])/73728 + (171775*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][3])/768 + (11*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][3])/8 + (558161*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][3])/3072 + 
     (16371869*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*\[Zeta][3])/147456 - 
     (213553*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][3])/6144 - (782335*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][3])/3072 + 
     (784649*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*\[Zeta][3])/49152 + 
     (1050337*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][3])/3072 - 
     (36218767*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][3])/73728 + 
     (1914039*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][3])/8192 + 
     (2017*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*\[Zeta][3])/576 - 
     (111163*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][3])/3072 - (269307*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][3])/1024 + 
     (585191*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][3])/3072 + (1805429*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][3])/18432 + (1948421*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][3])/9216 + (1042435*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][3])/3072 - (2333471*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][3])/4608 + (1809003*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][3])/16384 - (782335*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][3])/3072 + 
     (2444789*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*\[Zeta][3])/147456 + 
     (1179155*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][3])/6144 - (138193*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][3])/3072 + 
     (11*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*\[Zeta][3])/8 - 
     (11898851*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][3])/24576 + 
     (16704137*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][3])/73728 + 
     (1050337*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][3])/3072 + 
     (352705*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][3])/1536 + 
     (344401*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][3])/1536 + 
     (481*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][3])/192 + 
     (115*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][3])/32 + 
     (340561*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][3])/1536 + 
     (117899*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][3])/512 + 
     (352025*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][3])/1536 - 
     (59*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][3])/24 + 
     (352705*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][3])/1536 + 
     (116059*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][3])/512 + 
     (912195*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][3])/2048 - 
     (4122637*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][3])/6144 - 
     (1043483*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][3])/1536 + 
     (116059*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][3])/512 + 
     (348701*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][3])/768 + 
     (2840903*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][3])/6144 - 
     (1408985*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][3])/2048 + 
     (116059*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][3])/512 - 
     (352705*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][3])/1024 - 
     (1443713*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][3])/2048 - 
     (177473*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][3])/4096 - 
     (442897*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][3])/4096 - 
     (340561*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][3])/1024 - 
     (3228313*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][3])/4096 - 
     (2962889*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][3])/4096 - 
     (51005*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][3])/2048 - 
     (352705*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][3])/1024 + 
     (346081*HPL[{0, 0, 0, 0, 1}, 1 - u]*\[Zeta][3])/1536 + 
     (346081*HPL[{0, 0, 0, 0, 1}, 1 - v]*\[Zeta][3])/1536 + 
     (346081*HPL[{0, 0, 0, 0, 1}, 1 - w]*\[Zeta][3])/1536 - 
     (1730405*HPL[{0, 0, 0, 1, 1}, 1 - u]*\[Zeta][3])/1536 - 
     (1730405*HPL[{0, 0, 0, 1, 1}, 1 - v]*\[Zeta][3])/1536 - 
     (1730405*HPL[{0, 0, 0, 1, 1}, 1 - w]*\[Zeta][3])/1536 - 
     (346605*HPL[{0, 0, 1, 0, 1}, 1 - u]*\[Zeta][3])/512 - 
     (346081*HPL[{0, 0, 1, 0, 1}, 1 - v]*\[Zeta][3])/512 - 
     (346605*HPL[{0, 0, 1, 0, 1}, 1 - w]*\[Zeta][3])/512 - 
     (1042435*HPL[{0, 0, 1, 1, 1}, 1 - u]*\[Zeta][3])/512 - 
     (1042435*HPL[{0, 0, 1, 1, 1}, 1 - v]*\[Zeta][3])/512 - 
     (1042435*HPL[{0, 0, 1, 1, 1}, 1 - w]*\[Zeta][3])/512 - 
     (1738789*HPL[{0, 1, 0, 1, 1}, 1 - u]*\[Zeta][3])/3072 - 
     (1738789*HPL[{0, 1, 0, 1, 1}, 1 - v]*\[Zeta][3])/3072 - 
     (1738789*HPL[{0, 1, 0, 1, 1}, 1 - w]*\[Zeta][3])/3072 + 
     (347129*M1[u, v, w]*\[Zeta][3])/3072 + (131*M1[v, u, w]*\[Zeta][3])/
      384 + (349225*M1[v, w, u]*\[Zeta][3])/3072 + 
     (116059*M1[w, u, v]*\[Zeta][3])/1024 - (131*M1[w, v, u]*\[Zeta][3])/
      384 + (131*Nt[u, v, w]*\[Zeta][3])/192 + 
     (559*HPL[{1}, 1 - u]*Omega2[u, v, w]*\[Zeta][3])/384 + 
     (344369*HPL[{1}, 1 - v]*Omega2[u, v, w]*\[Zeta][3])/1536 + 
     (821*HPL[{1}, 1 - w]*Omega2[u, v, w]*\[Zeta][3])/384 + 
     (821*HPL[{1}, 1 - u]*Omega2[v, w, u]*\[Zeta][3])/384 - 
     (119*HPL[{1}, 1 - v]*Omega2[v, w, u]*\[Zeta][3])/48 + 
     (350413*HPL[{1}, 1 - w]*Omega2[v, w, u]*\[Zeta][3])/1536 + 
     (116823*HPL[{1}, 1 - u]*Omega2[w, u, v]*\[Zeta][3])/512 - 
     (221*HPL[{1}, 1 - v]*Omega2[w, u, v]*\[Zeta][3])/192 + 
     (191*HPL[{1}, 1 - w]*Omega2[w, u, v]*\[Zeta][3])/128 - 
     (346081*Ot[u, v, w]*\[Zeta][3])/3072 - (131*Qep[u, v, w]*\[Zeta][3])/
      18 + (2830835*Qep[u, w, v]*\[Zeta][3])/1152 + 
     (918527*Qep[v, u, w]*\[Zeta][3])/384 - (3315*Qep[v, w, u]*\[Zeta][3])/
      128 + (45419*Qep[w, u, v]*\[Zeta][3])/1152 + 
     (347129*Qep[w, v, u]*\[Zeta][3])/144 - 
     (117777*HPL[{1}, 1 - u]^3*\[Zeta][2]*\[Zeta][3])/2048 + 
     (854689*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][2]*\[Zeta][3])/12288 + 
     (1243631*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][2]*\[Zeta][3])/
      12288 - (328421*HPL[{1}, 1 - v]^3*\[Zeta][2]*\[Zeta][3])/6144 + 
     (664507*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][2]*\[Zeta][3])/6144 - 
     (490321*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2]*
       \[Zeta][3])/3072 + (1243631*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       \[Zeta][2]*\[Zeta][3])/12288 + (664507*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - w]^2*\[Zeta][2]*\[Zeta][3])/6144 + 
     (854689*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][2]*\[Zeta][3])/12288 - 
     (117777*HPL[{1}, 1 - w]^3*\[Zeta][2]*\[Zeta][3])/2048 - 
     (202699*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*\[Zeta][2]*\[Zeta][3])/1536 + 
     (672875*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2]*\[Zeta][3])/3072 - 
     (2081281*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2]*\[Zeta][3])/
      3072 - (1053529*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][2]*
       \[Zeta][3])/1536 - (257741*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       \[Zeta][2]*\[Zeta][3])/2048 + (339179*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*\[Zeta][2]*\[Zeta][3])/1536 + 
     (704135*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][2]*\[Zeta][3])/3072 - 
     (2112541*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2]*\[Zeta][3])/
      3072 - (202699*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][2]*
       \[Zeta][3])/1536 + (82797*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2]*\[Zeta][3])/
      256 + (652931*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2]*\[Zeta][3])/2048 + 
     (82797*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2]*\[Zeta][3])/256 - 
     (237199*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2]*\[Zeta][3])/3072 - 
     (50809*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2]*\[Zeta][3])/768 - 
     (237199*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2]*\[Zeta][3])/3072 + 
     (355989*HPL[{1}, 1 - u]*\[Zeta][2]^2*\[Zeta][3])/640 + 
     (338793*HPL[{1}, 1 - v]*\[Zeta][2]^2*\[Zeta][3])/640 + 
     (355989*HPL[{1}, 1 - w]*\[Zeta][2]^2*\[Zeta][3])/640 - 
     (962465*HPL[{1}, 1 - u]^2*\[Zeta][3]^2)/12288 - 
     (603843*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][3]^2)/2048 - 
     (440851*HPL[{1}, 1 - v]^2*\[Zeta][3]^2)/6144 - 
     (454183*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*\[Zeta][3]^2)/1536 - 
     (603843*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][3]^2)/2048 - 
     (962465*HPL[{1}, 1 - w]^2*\[Zeta][3]^2)/12288 - 
     (2360485*HPL[{0, 1}, 1 - u]*\[Zeta][3]^2)/6144 - 
     (1127285*HPL[{0, 1}, 1 - v]*\[Zeta][3]^2)/3072 - 
     (2360485*HPL[{0, 1}, 1 - w]*\[Zeta][3]^2)/6144 + 
     (\[Zeta][2]*\[Zeta][3]^2)/2 - (5*HPL[{1}, 1 - u]^3*\[Zeta][5])/64 + 
     (8809*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][5])/49152 - 
     (149429*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][5])/16384 + 
     (25*HPL[{1}, 1 - v]^3*\[Zeta][5])/32 - 
     (1058053*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][5])/24576 + 
     (28887*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][5])/64 - 
     (149429*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][5])/16384 - 
     (1058053*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*\[Zeta][5])/24576 + 
     (8809*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][5])/49152 - 
     (5*HPL[{1}, 1 - w]^3*\[Zeta][5])/64 + 
     (45*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*\[Zeta][5])/32 + 
     (14931*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][5])/1024 + 
     (1947*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][5])/256 + 
     (1947*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][5])/256 + 
     (14931*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][5])/1024 + 
     (45*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][5])/32 + 
     (45*HPL[{0, 0, 1}, 1 - u]*\[Zeta][5])/32 + 
     (45*HPL[{0, 0, 1}, 1 - w]*\[Zeta][5])/32 + 
     (45*HPL[{0, 1, 1}, 1 - u]*\[Zeta][5])/32 + 
     (45*HPL[{0, 1, 1}, 1 - w]*\[Zeta][5])/32 - (35*\[Zeta][3]*\[Zeta][5])/
      2 - (3*\[Zeta][5, 3])/2
 
E3 = (-3*B1[u, v, w])/32 - (3*B1[u, w, v])/16 - B1[v, u, w]/16 - 
     B1[v, w, u]/16 - (3*B1[w, u, v])/16 - (3*B1[w, v, u])/32 - 
     B10[u, v, w]/16 - B10[w, u, v]/16 + B11[u, v, w]/8 + 
     (3*B11[v, w, u])/8 + B11[w, u, v]/8 - B2[u, v, w]/16 - 
     (3*B2[u, w, v])/32 - (3*B2[v, u, w])/16 - (3*B2[v, w, u])/16 - 
     (3*B2[w, u, v])/32 - B2[w, v, u]/16 - (3*B3[u, v, w])/16 - 
     (3*B3[w, u, v])/16 - (3*B4[u, v, w])/32 - (3*B4[v, w, u])/32 - 
     (3*B4[w, u, v])/32 + B5[u, w, v]/16 + B5[w, u, v]/16 + B6[u, w, v]/16 + 
     B6[w, u, v]/16 - (3*B7[u, v, w])/32 - B7[v, w, u]/8 - 
     (3*B7[w, u, v])/32 - B8[v, w, u]/32 + (9*B9[u, v, w])/4 + 
     (21*B9[v, w, u])/16 + (9*B9[w, u, v])/4 - HPL[{1}, 1 - u]^6/384 + 
     (HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v])/64 - 
     (7*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2)/256 + 
     (499*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3)/1152 - 
     (3*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4)/128 + 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5)/64 - HPL[{1}, 1 - v]^6/384 - 
     (HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w])/64 + 
     (HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/128 - 
     (31*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w])/96 - 
     (101*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w])/768 - 
     (13*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w])/128 + 
     (HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w])/64 + 
     (3*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^2)/256 - 
     (49*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2)/192 + 
     (27*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2)/16 - 
     (101*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2)/768 - 
     (3*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2)/128 + 
     (401*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^3)/1152 - 
     (49*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3)/192 - 
     (31*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3)/96 + 
     (499*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3)/1152 + 
     (3*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4)/256 + 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4)/128 - 
     (7*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4)/256 - 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^5)/64 + 
     (HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5)/64 - HPL[{1}, 1 - w]^6/384 - 
     (9*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - u])/128 + 
     (19*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u])/64 + 
     (181*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u])/192 + 
     (35*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u])/48 + 
     (HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u])/32 + 
     (7*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/96 - 
     (243*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u])/64 - (617*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/384 - 
     (57*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/64 + 
     (5*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u])/4 - 
     (267*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u])/128 + (187*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u])/128 + (5*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u])/6 - (175*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u])/192 + (HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u])/16 + 
     (101*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]^2)/128 - 
     (31*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2)/64 - 
     (5*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2)/32 - 
     (9*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2)/8 - 
     (41*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2)/64 - 
     (15*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2)/128 - 
     (67*HPL[{0, 1}, 1 - u]^3)/96 - (HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - v])/
      64 + (3*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v])/4 + 
     (133*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v])/128 + 
     (15*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v])/64 - 
     (3*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/4 - 
     (583*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v])/384 - (267*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/64 + 
     (15*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/64 + 
     (81*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v])/64 - 
     (583*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v])/384 + (133*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v])/128 - (3*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - v])/4 + (3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - v])/4 - (HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v])/64 + 
     (2*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/3 - 
     (43*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/96 + (25*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/32 - (355*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/96 - 
     (365*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/96 - (19*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v])/
      32 + (3*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^2)/128 - 
     (49*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2)/64 + 
     (25*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]^2)/32 - 
     (37*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2)/32 - 
     (49*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2)/64 + 
     (3*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2)/128 - 
     (149*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2)/128 - 
     (25*HPL[{0, 1}, 1 - v]^3)/32 + (HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - w])/
      16 - (175*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w])/192 + 
     (187*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/128 - 
     (57*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w])/64 + 
     (HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w])/32 + 
     (5*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/6 - 
     (267*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w])/128 - (617*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/384 + 
     (35*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/48 + 
     (5*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w])/4 - 
     (243*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w])/64 + (181*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w])/192 + (7*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - w])/96 + (19*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - w])/64 - (9*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w])/
      128 + HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w] - 
     (61*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/16 - (3*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/2 - 
     (61*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/16 + HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
      HPL[{0, 1}, 1 - w] - (83*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w])/64 - 
     (365*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/96 + (25*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/32 - (355*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/96 - 
     (43*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/96 + (2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/3 + (13*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/32 - (149*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/
      128 - (15*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]^2)/128 - 
     (41*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2)/64 - 
     (5*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2)/32 - 
     (9*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2)/8 - 
     (31*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2)/64 + 
     (101*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2)/128 - 
     (83*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2)/64 - 
     (19*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2)/32 - 
     (67*HPL[{0, 1}, 1 - w]^3)/96 - (HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - u])/
      4 + (31*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/32 - 
     (5*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u])/12 + 
     (HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - u])/48 + 
     (HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/2 + 
     (63*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/32 + (59*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/192 - (7*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - u])/64 + (HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - u])/2 - (5*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u])/
      64 + (53*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u])/16 - 
     (3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u])/16 + 
     (295*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/96 + 
     (5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/96 + 
     (105*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/32 - 
     (5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/32 - 
     (3*HPL[{0, 0, 1}, 1 - u]^2)/32 + 
     (5*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - v])/192 - 
     (49*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/64 + 
     (39*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v])/32 + 
     (103*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/192 + 
     (119*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/32 + (39*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/32 + (103*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - v])/192 - (49*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - v])/64 + (5*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 1}, 1 - v])/192 + (5*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/96 + (25*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/8 - (5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/96 + (25*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v])/8 - (5*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/96 + (25*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/8 + (5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/96 + (59*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/32 - (5*HPL[{1}, 1 - u]^3*
       HPL[{0, 0, 1}, 1 - w])/64 + (HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/2 + (59*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - w])/192 + (HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - w])/
      48 - (7*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/64 + 
     (63*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/32 - (5*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/12 + (HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - w])/2 + (31*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - w])/32 - (HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w])/
      4 - (5*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/32 + 
     (105*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/32 + 
     (5*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/96 + 
     (295*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/96 - 
     (3*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/16 + 
     (53*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/16 + 
     (115*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/32 + 
     (59*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/32 - 
     (3*HPL[{0, 0, 1}, 1 - w]^2)/32 + 
     (HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - u])/4 - 
     (17*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/32 - 
     (485*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u])/192 + 
     (11*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u])/48 + 
     (HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/8 + 
     (65*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/16 + (431*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/192 - (169*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - u])/64 + (85*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - u])/32 - (15*HPL[{1}, 1 - w]^3*
       HPL[{0, 1, 1}, 1 - u])/64 + (5*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/16 - (5*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/4 + (19*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/16 + (19*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/96 - (19*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/96 - (11*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/32 + (11*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/32 + (HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/8 + (HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/8 + (5*HPL[{0, 1, 1}, 1 - u]^2)/32 + 
     (11*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - v])/192 - 
     2*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v] - 
     (9*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v])/32 + 
     (109*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/48 + 
     (167*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/32 - (9*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/32 + (109*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - v])/48 - 2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
      HPL[{0, 1, 1}, 1 - v] + (11*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v])/
      192 - (7*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/96 + 
     (7*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/96 - 
     (HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/2 - 
     (HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/2 + 
     (7*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/96 - 
     (7*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/96 + 
     (5*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/16 + 
     (5*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/16 - 
     (193*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/32 - 
     (15*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - w])/64 + 
     (85*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/32 + 
     (431*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w])/192 + 
     (11*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w])/48 - 
     (169*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/64 + 
     (65*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/16 - (485*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/192 + (HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - w])/8 - (17*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - w])/32 + (HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w])/
      4 + (11*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/32 - 
     (11*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/32 - 
     (19*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/96 + 
     (19*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/96 + 
     (19*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/16 - 
     (5*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/4 + 
     (5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/16 + 
     (HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/8 + 
     (HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/8 - 
     (107*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/32 - 
     (193*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/32 + 
     (5*HPL[{0, 1, 1}, 1 - w]^2)/32 - 
     (9*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - u])/16 + 
     (17*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/16 + 
     (HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - u])/16 + 
     (17*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/16 + 
     (87*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/16 + 
     (HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u])/8 + 
     (7*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u])/2 + 
     (25*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/8 + 
     (7*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/2 + 
     (HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - v])/32 + 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/2 + 
     (97*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/16 + 
     (HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/2 + 
     (HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v])/32 + 
     (25*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/8 + 
     (25*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/8 + 
     (25*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/8 + 
     (HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - w])/8 + 
     (87*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/16 + 
     (HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - w])/16 + 
     (17*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/16 + 
     (17*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/16 - 
     (9*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w])/16 + 
     (7*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w])/2 + 
     (25*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/8 + 
     (7*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/2 + 
     (21*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - u])/32 + 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/16 + 
     (11*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - u])/16 + 
     (57*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/16 - 
     (HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/4 + 
     (7*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u])/32 - 
     (5*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/4 - 
     (HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/4 + 
     (HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - v])/8 + 
     (3*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v])/4 + 
     (23*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/16 + 
     (3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/4 + 
     (HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v])/8 - 
     (HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/2 - 
     (HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/2 + 
     (7*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - w])/32 - 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/4 + 
     (11*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - w])/16 + 
     (57*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/16 + 
     (HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/16 + 
     (21*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w])/32 - 
     (HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w])/4 - 
     (5*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/4 - 
     (3*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - u])/4 + 
     (19*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/16 + 
     (HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u])/16 - 
     (5*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/32 - 
     (213*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/32 + 
     (5*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u])/8 - 
     (163*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u])/32 - 
     (75*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/16 - 
     (69*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/16 - 
     (7*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - v])/32 + 
     (27*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/32 - 
     (201*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/32 + 
     (27*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/32 - 
     (7*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v])/32 - 
     (79*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/16 - 
     (75*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/16 - 
     (79*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/16 + 
     (5*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - w])/8 - 
     (213*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/32 + 
     (HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - w])/16 - 
     (5*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/32 + 
     (19*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/16 - 
     (3*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w])/4 - 
     (69*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w])/16 - 
     (75*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/16 - 
     (163*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/32 - 
     (3*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u])/4 + 
     (3*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u])/4 - 
     (3*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u])/4 - 
     (3*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w])/4 + 
     (3*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w])/4 - 
     (3*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w])/4 + 
     (HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u])/8 - 
     (HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u])/2 + 
     (7*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u])/8 + 
     (7*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w])/8 - 
     (HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w])/2 + 
     (HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w])/8 - 
     (5*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u])/16 + 
     (5*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u])/16 + 
     (5*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w])/16 - 
     (5*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w])/16 - 
     3*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u] + 
     (33*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u])/4 - 
     (15*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u])/2 + 
     3*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v] + 
     3*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v] - 
     (15*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w])/2 + 
     (33*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w])/4 - 
     3*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w] - 
     (11*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u])/16 + 
     (5*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u])/2 - 
     (37*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u])/16 + 
     HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v] + 
     HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v] - 
     (37*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w])/16 + 
     (5*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w])/2 - 
     (11*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w])/16 + 
     (9*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u])/4 - 
     (HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u])/2 - 
     (HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u])/4 + 
     (HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v])/2 + 
     (HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v])/2 - 
     (HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w])/4 - 
     (HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w])/2 + 
     (9*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w])/4 - 
     (3*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/8 - 
     (3*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/8 - 
     (9*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/32 - 
     (9*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/32 + 
     (51*HPL[{0, 0, 0, 1, 1, 1}, 1 - u])/8 + 
     (51*HPL[{0, 0, 0, 1, 1, 1}, 1 - w])/8 + 
     (19*HPL[{0, 0, 1, 0, 1, 1}, 1 - u])/8 + 
     (19*HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/8 + 
     (3*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/16 + 
     (3*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/16 + 
     (23*HPL[{0, 0, 1, 1, 1, 1}, 1 - u])/8 + 
     (23*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/8 + 
     (9*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/32 + 
     (9*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/32 - 
     (45*HPL[{0, 1, 1, 1, 1, 1}, 1 - u])/16 - 
     (45*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/16 - (HPL[{1}, 1 - u]*M1[u, v, w])/
      32 + (HPL[{1}, 1 - w]*M1[u, v, w])/32 + (HPL[{1}, 1 - u]*M1[v, u, w])/
      32 - (HPL[{1}, 1 - w]*M1[v, u, w])/32 - (HPL[{1}, 1 - u]*M1[v, w, u])/
      32 + (HPL[{1}, 1 - w]*M1[v, w, u])/32 + (HPL[{1}, 1 - u]*M1[w, v, u])/
      32 - (HPL[{1}, 1 - w]*M1[w, v, u])/32 + 
     (3*HPL[{1}, 1 - u]^2*Omega2[u, v, w])/64 - 
     (13*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[u, v, w])/8 + 
     (49*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[u, v, w])/32 + 
     (13*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w])/8 - 
     (HPL[{1}, 1 - w]^2*Omega2[u, v, w])/64 + 
     (25*HPL[{0, 1}, 1 - u]*Omega2[u, v, w])/16 + 
     (25*HPL[{0, 1}, 1 - v]*Omega2[u, v, w])/16 + 
     (25*HPL[{0, 1}, 1 - w]*Omega2[u, v, w])/16 - 
     (HPL[{1}, 1 - u]^2*Omega2[v, w, u])/64 + 
     (13*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[v, w, u])/8 + 
     (49*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[v, w, u])/32 - 
     (13*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[v, w, u])/8 + 
     (3*HPL[{1}, 1 - w]^2*Omega2[v, w, u])/64 + 
     (25*HPL[{0, 1}, 1 - u]*Omega2[v, w, u])/16 + 
     (25*HPL[{0, 1}, 1 - v]*Omega2[v, w, u])/16 + 
     (25*HPL[{0, 1}, 1 - w]*Omega2[v, w, u])/16 - 
     (7*HPL[{1}, 1 - u]^2*Omega2[w, u, v])/64 + 
     (25*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[w, u, v])/16 - 
     (43*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[w, u, v])/32 + 
     (25*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[w, u, v])/16 - 
     (7*HPL[{1}, 1 - w]^2*Omega2[w, u, v])/64 + 
     (25*HPL[{0, 1}, 1 - u]*Omega2[w, u, v])/16 + 
     (25*HPL[{0, 1}, 1 - v]*Omega2[w, u, v])/16 + 
     (25*HPL[{0, 1}, 1 - w]*Omega2[w, u, v])/16 - (25*Phi6[u, v, w]^2)/32 + 
     (2*HPL[{1}, 1 - u]*Qep[u, v, w])/3 - (2*HPL[{1}, 1 - w]*Qep[u, v, w])/
      3 - (2*HPL[{1}, 1 - u]*Qep[u, w, v])/3 + 
     (2*HPL[{1}, 1 - w]*Qep[u, w, v])/3 - 2*HPL[{1}, 1 - u]*Qep[v, u, w] + 
     2*HPL[{1}, 1 - w]*Qep[v, u, w] + 2*HPL[{1}, 1 - u]*Qep[v, w, u] - 
     2*HPL[{1}, 1 - w]*Qep[v, w, u] + (2*HPL[{1}, 1 - u]*Qep[w, u, v])/3 - 
     (2*HPL[{1}, 1 - w]*Qep[w, u, v])/3 - (2*HPL[{1}, 1 - u]*Qep[w, v, u])/
      3 + (2*HPL[{1}, 1 - w]*Qep[w, v, u])/3 - 
     (3*HPL[{1}, 1 - u]^4*\[Zeta][2])/64 + 
     (13*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*\[Zeta][2])/24 - 
     (47*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*\[Zeta][2])/16 + 
     (5*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*\[Zeta][2])/6 - 
     (5*HPL[{1}, 1 - v]^4*\[Zeta][2])/32 - 
     (31*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*\[Zeta][2])/96 + 
     (57*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2])/16 + 
     (13*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][2])/32 + 
     (5*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*\[Zeta][2])/6 - 
     (161*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*\[Zeta][2])/64 + 
     (57*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][2])/16 - 
     (47*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*\[Zeta][2])/16 - 
     (31*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*\[Zeta][2])/96 + 
     (13*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*\[Zeta][2])/24 - 
     (3*HPL[{1}, 1 - w]^4*\[Zeta][2])/64 - 
     (49*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2])/16 - 
     3*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2] - 
     (71*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2])/32 + 
     (33*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2])/32 + 
     (25*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2])/16 - 
     (85*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2])/32 - 
     (35*HPL[{0, 1}, 1 - u]^2*\[Zeta][2])/16 - 
     (45*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2])/16 - 
     (17*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][2])/16 - 
     (101*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2])/32 + 
     (5*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2])/2 - 
     (17*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2])/16 - 
     (45*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2])/16 - 
     (215*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][2])/32 - 
     (49*HPL[{0, 1}, 1 - v]^2*\[Zeta][2])/32 - 
     (85*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2])/32 + 
     (25*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2])/16 - 
     (71*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2])/32 + 
     (33*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][2])/32 - 
     3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][2] - 
     (49*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2])/16 - 
     (189*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][2])/32 - 
     (215*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2])/32 - 
     (35*HPL[{0, 1}, 1 - w]^2*\[Zeta][2])/16 - 
     (199*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/32 + 
     (HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/2 - 
     (19*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/32 - 
     (51*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/8 - 
     (19*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/32 + 
     (HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/2 - 
     (199*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/32 + 
     (HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/8 + 
     (199*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/16 + 
     (67*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/16 + 
     (67*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/8 + 
     (67*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/8 + 
     (67*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/16 + 
     (199*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/16 + 
     (HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/8 - 
     (93*HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2])/16 - 
     (51*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2])/8 - 
     (93*HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][2])/16 + 
     (23*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2])/8 + 
     (23*HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2])/8 + 
     (157*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2])/16 + 
     (153*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2])/16 + 
     (157*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2])/16 - 
     (51*Omega2[u, v, w]*\[Zeta][2])/16 - (51*Omega2[v, w, u]*\[Zeta][2])/
      16 - (45*Omega2[w, u, v]*\[Zeta][2])/16 + 
     (143*HPL[{1}, 1 - u]^2*\[Zeta][2]^2)/80 + 
     (281*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][2]^2)/40 + 
     (47*HPL[{1}, 1 - v]^2*\[Zeta][2]^2)/80 - 
     (9*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*\[Zeta][2]^2)/2 + 
     (281*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2]^2)/40 + 
     (143*HPL[{1}, 1 - w]^2*\[Zeta][2]^2)/80 + 
     (102*HPL[{0, 1}, 1 - u]*\[Zeta][2]^2)/5 + 
     (141*HPL[{0, 1}, 1 - v]*\[Zeta][2]^2)/8 + 
     (102*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2)/5 - (13021*\[Zeta][2]^3)/420 + 
     (3*HPL[{1}, 1 - u]^3*\[Zeta][3])/16 + 
     (HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][3])/16 + 
     (27*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][3])/32 + 
     (21*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][3])/64 + 
     (5*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][3])/4 + 
     (27*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][3])/32 + 
     (21*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*\[Zeta][3])/64 + 
     (HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][3])/16 + 
     (3*HPL[{1}, 1 - w]^3*\[Zeta][3])/16 + 
     (HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*\[Zeta][3])/4 - 
     (HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][3])/16 - 
     (HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][3])/4 - 
     (HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][3])/4 - 
     (HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][3])/16 + 
     (HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][3])/4 + \[Zeta][3]^2
 
E2 = HPL[{1}, 1 - u]^4/32 - (HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v])/8 + 
     (HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2)/8 - 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3)/8 + HPL[{1}, 1 - v]^4/32 + 
     (HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w])/8 - 
     (HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/4 + 
     (3*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w])/8 - 
     (HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w])/8 + 
     (HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2)/16 - 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2)/4 + 
     (HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2)/8 + 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3)/8 - 
     (HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3)/8 + HPL[{1}, 1 - w]^4/32 + 
     (HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u])/8 - 
     (HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u])/8 + 
     (HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/4 - 
     (HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u])/8 + HPL[{0, 1}, 1 - u]^2/8 - 
     (HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w])/8 + 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w])/4 - 
     (HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/8 + 
     (HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w])/8 + HPL[{0, 1}, 1 - w]^2/8 - 
     (HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/4 + 
     (HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/4 + 
     (HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/4 - 
     (HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/4 - 
     (HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/2 - 
     (HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/4 + 
     (HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/4 + 
     (HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/4 - 
     (HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/4 - 
     (HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/2 - HPL[{0, 0, 0, 1}, 1 - u]/4 - 
     HPL[{0, 0, 0, 1}, 1 - w]/4 - (3*HPL[{0, 0, 1, 1}, 1 - u])/4 - 
     (3*HPL[{0, 0, 1, 1}, 1 - w])/4 + (3*HPL[{0, 1, 1, 1}, 1 - u])/4 + 
     (3*HPL[{0, 1, 1, 1}, 1 - w])/4 - Omega2[w, u, v]/4 + 
     (HPL[{1}, 1 - u]^2*\[Zeta][2])/2 - (3*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       \[Zeta][2])/2 + (3*HPL[{1}, 1 - v]^2*\[Zeta][2])/4 + 
     (3*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*\[Zeta][2])/2 - 
     (3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2])/2 + 
     (HPL[{1}, 1 - w]^2*\[Zeta][2])/2 - (HPL[{0, 1}, 1 - u]*\[Zeta][2])/2 - 
     (HPL[{0, 1}, 1 - w]*\[Zeta][2])/2 + 2*\[Zeta][2]^2
 
E1 = -HPL[{1}, 1 - u]^2/4 + (HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/2 - 
     HPL[{1}, 1 - v]^2/4 - (HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/2 + 
     (HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/2 - HPL[{1}, 1 - w]^2/4 - \[Zeta][2]
 
Et4 = (-11*C1[u, v, w]*HPL[{1}, 1 - u])/192 - 
     (119*C1[u, w, v]*HPL[{1}, 1 - u])/1536 - 
     (41*C1[v, u, w]*HPL[{1}, 1 - u])/768 - (65*C1[v, w, u]*HPL[{1}, 1 - u])/
      1536 - (13*C1[w, u, v]*HPL[{1}, 1 - u])/192 - 
     (C1[w, v, u]*HPL[{1}, 1 - u])/24 - (21*C10[u, v, w]*HPL[{1}, 1 - u])/
      512 - (103*C10[v, w, u]*HPL[{1}, 1 - u])/1536 - 
     (83*C10[w, u, v]*HPL[{1}, 1 - u])/1536 - (C11[u, v, w]*HPL[{1}, 1 - u])/
      1536 + (C11[u, w, v]*HPL[{1}, 1 - u])/384 + 
     (13*C11[v, u, w]*HPL[{1}, 1 - u])/1536 + (C11[v, w, u]*HPL[{1}, 1 - u])/
      384 + (17*C11[w, u, v]*HPL[{1}, 1 - u])/1536 - 
     (13*C11[w, v, u]*HPL[{1}, 1 - u])/1536 + 
     (113*C12[u, v, w]*HPL[{1}, 1 - u])/1536 + 
     (121*C12[u, w, v]*HPL[{1}, 1 - u])/1536 + 
     (61*C12[v, u, w]*HPL[{1}, 1 - u])/1536 + 
     (55*C12[v, w, u]*HPL[{1}, 1 - u])/1536 + 
     (77*C12[w, u, v]*HPL[{1}, 1 - u])/1536 + 
     (71*C12[w, v, u]*HPL[{1}, 1 - u])/1536 + 
     (17*C13[u, v, w]*HPL[{1}, 1 - u])/384 + 
     (23*C13[u, w, v]*HPL[{1}, 1 - u])/768 + (7*C13[v, w, u]*HPL[{1}, 1 - u])/
      384 - (C13[w, u, v]*HPL[{1}, 1 - u])/512 + 
     (71*C13[w, v, u]*HPL[{1}, 1 - u])/1536 + (C14[u, v, w]*HPL[{1}, 1 - u])/
      24 + (95*C14[u, w, v]*HPL[{1}, 1 - u])/1536 + 
     (C14[v, u, w]*HPL[{1}, 1 - u])/256 - (9*C14[v, w, u]*HPL[{1}, 1 - u])/
      512 + (3*C14[w, u, v]*HPL[{1}, 1 - u])/64 - 
     (31*C16[u, v, w]*HPL[{1}, 1 - u])/1024 - 
     (7*C16[v, w, u]*HPL[{1}, 1 - u])/3072 - 
     (11*C16[w, u, v]*HPL[{1}, 1 - u])/768 + 
     (237*C17[u, v, w]*HPL[{1}, 1 - u])/256 + 
     (201*C17[v, w, u]*HPL[{1}, 1 - u])/256 + 
     (57*C17[w, u, v]*HPL[{1}, 1 - u])/64 + 
     (839*C18[u, v, w]*HPL[{1}, 1 - u])/1024 + 
     (2695*C18[v, w, u]*HPL[{1}, 1 - u])/3072 + 
     (313*C18[w, u, v]*HPL[{1}, 1 - u])/384 + 
     (25*C19[u, v, w]*HPL[{1}, 1 - u])/1024 + 
     (113*C19[v, w, u]*HPL[{1}, 1 - u])/3072 + 
     (25*C19[w, u, v]*HPL[{1}, 1 - u])/768 - (43*C2[u, v, w]*HPL[{1}, 1 - u])/
      1536 - (7*C2[u, w, v]*HPL[{1}, 1 - u])/192 - 
     (53*C2[v, u, w]*HPL[{1}, 1 - u])/1536 - (11*C2[v, w, u]*HPL[{1}, 1 - u])/
      384 - (49*C2[w, u, v]*HPL[{1}, 1 - u])/1536 - 
     (43*C2[w, v, u]*HPL[{1}, 1 - u])/1536 + 
     (39*C20[u, v, w]*HPL[{1}, 1 - u])/1024 + 
     (215*C20[v, w, u]*HPL[{1}, 1 - u])/3072 + 
     (83*C20[w, u, v]*HPL[{1}, 1 - u])/1536 - 
     (9*C21[u, v, w]*HPL[{1}, 1 - u])/256 + (9*C21[v, w, u]*HPL[{1}, 1 - u])/
      256 + (201*C22[u, v, w]*HPL[{1}, 1 - u])/2048 + 
     (251*C22[v, w, u]*HPL[{1}, 1 - u])/6144 + 
     (227*C22[w, u, v]*HPL[{1}, 1 - u])/3072 - 
     (3*C23[u, v, w]*HPL[{1}, 1 - u])/256 + (3*C23[v, w, u]*HPL[{1}, 1 - u])/
      256 - (13*C24[u, v, w]*HPL[{1}, 1 - u])/256 - 
     (C24[v, w, u]*HPL[{1}, 1 - u])/24 - (17*C24[w, u, v]*HPL[{1}, 1 - u])/
      384 - (49*C25[u, v, w]*HPL[{1}, 1 - u])/256 - 
     (21*C25[v, w, u]*HPL[{1}, 1 - u])/128 - 
     (11*C25[w, u, v]*HPL[{1}, 1 - u])/64 - (65*C26[u, v, w]*HPL[{1}, 1 - u])/
      512 - (155*C26[v, w, u]*HPL[{1}, 1 - u])/1536 - 
     (43*C26[w, u, v]*HPL[{1}, 1 - u])/384 - 
     (109*C27[u, v, w]*HPL[{1}, 1 - u])/512 - 
     (371*C27[v, w, u]*HPL[{1}, 1 - u])/512 - 
     (129*C27[w, u, v]*HPL[{1}, 1 - u])/256 + 
     (10377*C28[u, v, w]*HPL[{1}, 1 - u])/128 - 
     (19*C3[u, v, w]*HPL[{1}, 1 - u])/512 - (23*C3[u, w, v]*HPL[{1}, 1 - u])/
      512 - (115*C3[v, u, w]*HPL[{1}, 1 - u])/1536 - 
     (91*C3[v, w, u]*HPL[{1}, 1 - u])/1536 - (89*C3[w, u, v]*HPL[{1}, 1 - u])/
      1536 - (77*C3[w, v, u]*HPL[{1}, 1 - u])/1536 - 
     (25*C4[u, v, w]*HPL[{1}, 1 - u])/256 - (35*C4[v, w, u]*HPL[{1}, 1 - u])/
      384 - (5*C4[w, u, v]*HPL[{1}, 1 - u])/48 - 
     (21*C5[u, v, w]*HPL[{1}, 1 - u])/512 - (103*C5[v, w, u]*HPL[{1}, 1 - u])/
      1536 - (83*C5[w, u, v]*HPL[{1}, 1 - u])/1536 - 
     (9*C6[u, v, w]*HPL[{1}, 1 - u])/512 - (65*C6[v, w, u]*HPL[{1}, 1 - u])/
      1536 - (13*C6[w, u, v]*HPL[{1}, 1 - u])/384 - 
     (13*C7[u, v, w]*HPL[{1}, 1 - u])/512 - (19*C7[v, w, u]*HPL[{1}, 1 - u])/
      512 - (C7[w, u, v]*HPL[{1}, 1 - u])/32 - 
     (19*C8[u, v, w]*HPL[{1}, 1 - u])/512 - (13*C8[v, w, u]*HPL[{1}, 1 - u])/
      512 - (C8[w, u, v]*HPL[{1}, 1 - u])/32 + 
     (25*A1[u, v, w]*HPL[{1}, 1 - u]^2)/1536 + 
     (19*A1[u, w, v]*HPL[{1}, 1 - u]^2)/768 - 
     (27*A1[v, u, w]*HPL[{1}, 1 - u]^2)/1024 + 
     (53*A1[v, w, u]*HPL[{1}, 1 - u]^2)/3072 - 
     (33*A1[w, u, v]*HPL[{1}, 1 - u]^2)/1024 + 
     (7*A1[w, v, u]*HPL[{1}, 1 - u]^2)/768 + 
     (165*A10[u, v, w]*HPL[{1}, 1 - u]^2)/512 - 
     (61*A10[v, w, u]*HPL[{1}, 1 - u]^2)/512 - 
     (13*A10[w, u, v]*HPL[{1}, 1 - u]^2)/64 - 
     (9*A11[u, v, w]*HPL[{1}, 1 - u]^2)/1024 - 
     (A2[u, v, w]*HPL[{1}, 1 - u]^2)/3072 + (A2[u, w, v]*HPL[{1}, 1 - u]^2)/
      192 - (11*A2[v, u, w]*HPL[{1}, 1 - u]^2)/384 + 
     (67*A2[v, w, u]*HPL[{1}, 1 - u]^2)/3072 - 
     (31*A2[w, u, v]*HPL[{1}, 1 - u]^2)/1536 + 
     (41*A2[w, v, u]*HPL[{1}, 1 - u]^2)/3072 - 
     (21*A3[u, v, w]*HPL[{1}, 1 - u]^2)/512 + 
     (7*A3[v, w, u]*HPL[{1}, 1 - u]^2)/768 + 
     (71*A3[w, u, v]*HPL[{1}, 1 - u]^2)/3072 - 
     (5*A4[u, v, w]*HPL[{1}, 1 - u]^2)/1024 + 
     (7*A4[v, w, u]*HPL[{1}, 1 - u]^2)/1024 + 
     (7*A4[w, u, v]*HPL[{1}, 1 - u]^2)/1024 + 
     (21*A6[u, v, w]*HPL[{1}, 1 - u]^2)/512 - 
     (7*A6[v, w, u]*HPL[{1}, 1 - u]^2)/768 - 
     (71*A6[w, u, v]*HPL[{1}, 1 - u]^2)/3072 - 
     (15*A7[u, v, w]*HPL[{1}, 1 - u]^2)/512 + (A7[v, w, u]*HPL[{1}, 1 - u]^2)/
      48 + (107*A7[w, u, v]*HPL[{1}, 1 - u]^2)/3072 - 
     (9*A8[u, v, w]*HPL[{1}, 1 - u]^2)/512 - 
     (3*A9[u, v, w]*HPL[{1}, 1 - u]^2)/512 - (3*G[u, v, w]*HPL[{1}, 1 - u]^3)/
      64 - (73*H1[u, v, w]*HPL[{1}, 1 - u]^3)/4608 - 
     (65*H1[v, w, u]*HPL[{1}, 1 - u]^3)/4608 + 
     (7*H1[w, u, v]*HPL[{1}, 1 - u]^3)/512 + 
     (81*F1[u, v, w]*HPL[{1}, 1 - u]^4)/2048 - 
     (95*F1[v, w, u]*HPL[{1}, 1 - u]^4)/18432 - 
     (89*F1[w, u, v]*HPL[{1}, 1 - u]^4)/9216 + 
     (11*C1[u, v, w]*HPL[{1}, 1 - v])/768 - (C1[u, w, v]*HPL[{1}, 1 - v])/
      1536 + (31*C1[v, u, w]*HPL[{1}, 1 - v])/1536 - 
     (31*C1[v, w, u]*HPL[{1}, 1 - v])/1536 + (C1[w, u, v]*HPL[{1}, 1 - v])/
      1536 - (11*C1[w, v, u]*HPL[{1}, 1 - v])/768 - 
     (5*C10[u, v, w]*HPL[{1}, 1 - v])/384 + (5*C10[w, u, v]*HPL[{1}, 1 - v])/
      384 - (C11[u, v, w]*HPL[{1}, 1 - v])/384 + 
     (17*C11[u, w, v]*HPL[{1}, 1 - v])/1536 - 
     (5*C11[v, u, w]*HPL[{1}, 1 - v])/1536 + (5*C11[v, w, u]*HPL[{1}, 1 - v])/
      1536 - (17*C11[w, u, v]*HPL[{1}, 1 - v])/1536 + 
     (C11[w, v, u]*HPL[{1}, 1 - v])/384 - (C12[u, v, w]*HPL[{1}, 1 - v])/96 - 
     (C12[u, w, v]*HPL[{1}, 1 - v])/96 - (C12[v, u, w]*HPL[{1}, 1 - v])/192 + 
     (C12[v, w, u]*HPL[{1}, 1 - v])/192 + (C12[w, u, v]*HPL[{1}, 1 - v])/96 + 
     (C12[w, v, u]*HPL[{1}, 1 - v])/96 + (C13[u, v, w]*HPL[{1}, 1 - v])/512 - 
     (43*C13[u, w, v]*HPL[{1}, 1 - v])/1536 + 
     (11*C13[v, u, w]*HPL[{1}, 1 - v])/768 - 
     (11*C13[v, w, u]*HPL[{1}, 1 - v])/768 + 
     (43*C13[w, u, v]*HPL[{1}, 1 - v])/1536 - (C13[w, v, u]*HPL[{1}, 1 - v])/
      512 - (11*C14[u, v, w]*HPL[{1}, 1 - v])/256 - 
     (9*C14[u, w, v]*HPL[{1}, 1 - v])/512 - (31*C14[v, u, w]*HPL[{1}, 1 - v])/
      1536 + (31*C14[v, w, u]*HPL[{1}, 1 - v])/1536 + 
     (9*C14[w, u, v]*HPL[{1}, 1 - v])/512 + (11*C14[w, v, u]*HPL[{1}, 1 - v])/
      256 + (37*C16[u, v, w]*HPL[{1}, 1 - v])/3072 - 
     (37*C16[w, u, v]*HPL[{1}, 1 - v])/3072 - 
     (27*C17[u, v, w]*HPL[{1}, 1 - v])/256 + 
     (27*C17[w, u, v]*HPL[{1}, 1 - v])/256 + 
     (191*C18[u, v, w]*HPL[{1}, 1 - v])/3072 - 
     (191*C18[w, u, v]*HPL[{1}, 1 - v])/3072 + 
     (13*C19[u, v, w]*HPL[{1}, 1 - v])/3072 - 
     (13*C19[w, u, v]*HPL[{1}, 1 - v])/3072 - (C2[u, v, w]*HPL[{1}, 1 - v])/
      384 - (C2[u, w, v]*HPL[{1}, 1 - v])/1536 + 
     (13*C2[v, u, w]*HPL[{1}, 1 - v])/1536 - (13*C2[v, w, u]*HPL[{1}, 1 - v])/
      1536 + (C2[w, u, v]*HPL[{1}, 1 - v])/1536 + 
     (C2[w, v, u]*HPL[{1}, 1 - v])/384 + (49*C20[u, v, w]*HPL[{1}, 1 - v])/
      3072 - (49*C20[w, u, v]*HPL[{1}, 1 - v])/3072 + 
     (9*C21[u, v, w]*HPL[{1}, 1 - v])/256 - (9*C21[w, u, v]*HPL[{1}, 1 - v])/
      256 - (203*C22[u, v, w]*HPL[{1}, 1 - v])/6144 + 
     (203*C22[w, u, v]*HPL[{1}, 1 - v])/6144 + 
     (3*C23[u, v, w]*HPL[{1}, 1 - v])/256 - (3*C23[w, u, v]*HPL[{1}, 1 - v])/
      256 + (C24[u, v, w]*HPL[{1}, 1 - v])/384 - 
     (C24[w, u, v]*HPL[{1}, 1 - v])/384 + (C25[u, v, w]*HPL[{1}, 1 - v])/
      128 - (C25[w, u, v]*HPL[{1}, 1 - v])/128 + 
     (17*C26[u, v, w]*HPL[{1}, 1 - v])/1536 - 
     (17*C26[w, u, v]*HPL[{1}, 1 - v])/1536 - 
     (113*C27[u, v, w]*HPL[{1}, 1 - v])/512 + 
     (113*C27[w, u, v]*HPL[{1}, 1 - v])/512 - 
     (13*C3[u, v, w]*HPL[{1}, 1 - v])/768 - (7*C3[u, w, v]*HPL[{1}, 1 - v])/
      768 + (C3[v, u, w]*HPL[{1}, 1 - v])/128 - (C3[v, w, u]*HPL[{1}, 1 - v])/
      128 + (7*C3[w, u, v]*HPL[{1}, 1 - v])/768 + 
     (13*C3[w, v, u]*HPL[{1}, 1 - v])/768 + (5*C4[u, v, w]*HPL[{1}, 1 - v])/
      384 - (5*C4[w, u, v]*HPL[{1}, 1 - v])/384 - 
     (5*C5[u, v, w]*HPL[{1}, 1 - v])/384 + (5*C5[w, u, v]*HPL[{1}, 1 - v])/
      384 - (13*C6[u, v, w]*HPL[{1}, 1 - v])/1536 + 
     (13*C6[w, u, v]*HPL[{1}, 1 - v])/1536 - (3*C7[u, v, w]*HPL[{1}, 1 - v])/
      512 + (3*C7[w, u, v]*HPL[{1}, 1 - v])/512 + 
     (3*C8[u, v, w]*HPL[{1}, 1 - v])/512 - (3*C8[w, u, v]*HPL[{1}, 1 - v])/
      512 + (524035*A1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/202752 - 
     (3*A1[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/512 + 
     (62177*A1[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/202752 - 
     (279373*A1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/202752 + 
     (274621*A1[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/202752 + 
     (276204965*A10[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/811008 - 
     (126157937*A10[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/811008 + 
     (5819*A10[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/768 + 
     (132299*A11[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/4096 + 
     (21*A2[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/256 + 
     (335*A2[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/3072 + 
     (197*A2[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/512 + 
     (325*A2[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/3072 + 
     (23*A2[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/192 - 
     (71*A2[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/384 + 
     (18849*A3[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/11264 - 
     (66403*A3[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/33792 - 
     (53*A3[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/512 - 
     (A4[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/768 + 
     (183*A4[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1024 - 
     (5*A4[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/512 - 
     (19795*A5[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/6144 + 
     (7651*A5[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/6144 + 
     (2495*A6[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/4608 - 
     (491*A6[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/4608 + 
     (319*A6[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/512 - 
     (233*A7[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/3072 - 
     (145*A7[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/3072 + 
     (3*A7[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/128 + 
     (23*A8[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/128 - 
     (727*A9[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/3072 + 
     (49884139*G[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v])/1622016 + 
     (15437*H1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v])/8448 - 
     (93953*H1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v])/16896 + 
     (67501*H1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v])/33792 + 
     (354757*F1[u, v, w]*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v])/110592 + 
     (6989695*F1[v, w, u]*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v])/180224 - 
     (1347869*F1[w, u, v]*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v])/270336 + 
     (3*A1[u, v, w]*HPL[{1}, 1 - v]^2)/512 + 
     (25*A1[u, w, v]*HPL[{1}, 1 - v]^2)/3072 - 
     (13*A1[v, u, w]*HPL[{1}, 1 - v]^2)/1536 + 
     (13*A1[v, w, u]*HPL[{1}, 1 - v]^2)/1536 - 
     (25*A1[w, u, v]*HPL[{1}, 1 - v]^2)/3072 - 
     (3*A1[w, v, u]*HPL[{1}, 1 - v]^2)/512 + 
     (43*A10[u, v, w]*HPL[{1}, 1 - v]^2)/512 - 
     (43*A10[w, u, v]*HPL[{1}, 1 - v]^2)/512 - 
     (13*A2[u, v, w]*HPL[{1}, 1 - v]^2)/1536 + 
     (13*A2[u, w, v]*HPL[{1}, 1 - v]^2)/1536 - 
     (17*A2[v, u, w]*HPL[{1}, 1 - v]^2)/3072 + 
     (17*A2[v, w, u]*HPL[{1}, 1 - v]^2)/3072 - 
     (13*A2[w, u, v]*HPL[{1}, 1 - v]^2)/1536 + 
     (13*A2[w, v, u]*HPL[{1}, 1 - v]^2)/1536 - 
     (43*A3[u, v, w]*HPL[{1}, 1 - v]^2)/3072 + 
     (43*A3[w, u, v]*HPL[{1}, 1 - v]^2)/3072 + 
     (43*A6[u, v, w]*HPL[{1}, 1 - v]^2)/3072 - 
     (43*A6[w, u, v]*HPL[{1}, 1 - v]^2)/3072 - 
     (43*A7[u, v, w]*HPL[{1}, 1 - v]^2)/3072 + 
     (43*A7[w, u, v]*HPL[{1}, 1 - v]^2)/3072 - 
     (89962969*G[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2)/1622016 - 
     (5909*H1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2)/4224 + 
     (135535*H1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2)/33792 - 
     (47987*H1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2)/33792 + 
     (24500791*F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2)/270336 - 
     (1653859*F1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2)/270336 + 
     (965225*F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2)/33792 + 
     (H1[v, w, u]*HPL[{1}, 1 - v]^3)/576 - (H1[w, u, v]*HPL[{1}, 1 - v]^3)/
      576 - (33039407*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3)/540672 - 
     (542893*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3)/110592 + 
     (548429*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3)/90112 + 
     (83*F1[u, v, w]*HPL[{1}, 1 - v]^4)/18432 - 
     (83*F1[w, u, v]*HPL[{1}, 1 - v]^4)/18432 + (C1[u, v, w]*HPL[{1}, 1 - w])/
      24 + (13*C1[u, w, v]*HPL[{1}, 1 - w])/192 + 
     (65*C1[v, u, w]*HPL[{1}, 1 - w])/1536 + (41*C1[v, w, u]*HPL[{1}, 1 - w])/
      768 + (119*C1[w, u, v]*HPL[{1}, 1 - w])/1536 + 
     (11*C1[w, v, u]*HPL[{1}, 1 - w])/192 + (83*C10[u, v, w]*HPL[{1}, 1 - w])/
      1536 + (103*C10[v, w, u]*HPL[{1}, 1 - w])/1536 + 
     (21*C10[w, u, v]*HPL[{1}, 1 - w])/512 + 
     (13*C11[u, v, w]*HPL[{1}, 1 - w])/1536 - 
     (17*C11[u, w, v]*HPL[{1}, 1 - w])/1536 - (C11[v, u, w]*HPL[{1}, 1 - w])/
      384 - (13*C11[v, w, u]*HPL[{1}, 1 - w])/1536 - 
     (C11[w, u, v]*HPL[{1}, 1 - w])/384 + (C11[w, v, u]*HPL[{1}, 1 - w])/
      1536 - (71*C12[u, v, w]*HPL[{1}, 1 - w])/1536 - 
     (77*C12[u, w, v]*HPL[{1}, 1 - w])/1536 - 
     (55*C12[v, u, w]*HPL[{1}, 1 - w])/1536 - 
     (61*C12[v, w, u]*HPL[{1}, 1 - w])/1536 - 
     (121*C12[w, u, v]*HPL[{1}, 1 - w])/1536 - 
     (113*C12[w, v, u]*HPL[{1}, 1 - w])/1536 - 
     (71*C13[u, v, w]*HPL[{1}, 1 - w])/1536 + (C13[u, w, v]*HPL[{1}, 1 - w])/
      512 - (7*C13[v, u, w]*HPL[{1}, 1 - w])/384 - 
     (23*C13[w, u, v]*HPL[{1}, 1 - w])/768 - 
     (17*C13[w, v, u]*HPL[{1}, 1 - w])/384 - (3*C14[u, w, v]*HPL[{1}, 1 - w])/
      64 + (9*C14[v, u, w]*HPL[{1}, 1 - w])/512 - 
     (C14[v, w, u]*HPL[{1}, 1 - w])/256 - (95*C14[w, u, v]*HPL[{1}, 1 - w])/
      1536 - (C14[w, v, u]*HPL[{1}, 1 - w])/24 + 
     (11*C16[u, v, w]*HPL[{1}, 1 - w])/768 + (7*C16[v, w, u]*HPL[{1}, 1 - w])/
      3072 + (31*C16[w, u, v]*HPL[{1}, 1 - w])/1024 - 
     (57*C17[u, v, w]*HPL[{1}, 1 - w])/64 - 
     (201*C17[v, w, u]*HPL[{1}, 1 - w])/256 - 
     (237*C17[w, u, v]*HPL[{1}, 1 - w])/256 - 
     (313*C18[u, v, w]*HPL[{1}, 1 - w])/384 - 
     (2695*C18[v, w, u]*HPL[{1}, 1 - w])/3072 - 
     (839*C18[w, u, v]*HPL[{1}, 1 - w])/1024 - 
     (25*C19[u, v, w]*HPL[{1}, 1 - w])/768 - 
     (113*C19[v, w, u]*HPL[{1}, 1 - w])/3072 - 
     (25*C19[w, u, v]*HPL[{1}, 1 - w])/1024 + 
     (43*C2[u, v, w]*HPL[{1}, 1 - w])/1536 + (49*C2[u, w, v]*HPL[{1}, 1 - w])/
      1536 + (11*C2[v, u, w]*HPL[{1}, 1 - w])/384 + 
     (53*C2[v, w, u]*HPL[{1}, 1 - w])/1536 + (7*C2[w, u, v]*HPL[{1}, 1 - w])/
      192 + (43*C2[w, v, u]*HPL[{1}, 1 - w])/1536 - 
     (83*C20[u, v, w]*HPL[{1}, 1 - w])/1536 - 
     (215*C20[v, w, u]*HPL[{1}, 1 - w])/3072 - 
     (39*C20[w, u, v]*HPL[{1}, 1 - w])/1024 - 
     (9*C21[v, w, u]*HPL[{1}, 1 - w])/256 + (9*C21[w, u, v]*HPL[{1}, 1 - w])/
      256 - (227*C22[u, v, w]*HPL[{1}, 1 - w])/3072 - 
     (251*C22[v, w, u]*HPL[{1}, 1 - w])/6144 - 
     (201*C22[w, u, v]*HPL[{1}, 1 - w])/2048 - 
     (3*C23[v, w, u]*HPL[{1}, 1 - w])/256 + (3*C23[w, u, v]*HPL[{1}, 1 - w])/
      256 + (17*C24[u, v, w]*HPL[{1}, 1 - w])/384 + 
     (C24[v, w, u]*HPL[{1}, 1 - w])/24 + (13*C24[w, u, v]*HPL[{1}, 1 - w])/
      256 + (11*C25[u, v, w]*HPL[{1}, 1 - w])/64 + 
     (21*C25[v, w, u]*HPL[{1}, 1 - w])/128 + 
     (49*C25[w, u, v]*HPL[{1}, 1 - w])/256 + 
     (43*C26[u, v, w]*HPL[{1}, 1 - w])/384 + 
     (155*C26[v, w, u]*HPL[{1}, 1 - w])/1536 + 
     (65*C26[w, u, v]*HPL[{1}, 1 - w])/512 + 
     (129*C27[u, v, w]*HPL[{1}, 1 - w])/256 + 
     (371*C27[v, w, u]*HPL[{1}, 1 - w])/512 + 
     (109*C27[w, u, v]*HPL[{1}, 1 - w])/512 - 
     (10377*C28[u, v, w]*HPL[{1}, 1 - w])/128 + 
     (77*C3[u, v, w]*HPL[{1}, 1 - w])/1536 + (89*C3[u, w, v]*HPL[{1}, 1 - w])/
      1536 + (91*C3[v, u, w]*HPL[{1}, 1 - w])/1536 + 
     (115*C3[v, w, u]*HPL[{1}, 1 - w])/1536 + 
     (23*C3[w, u, v]*HPL[{1}, 1 - w])/512 + (19*C3[w, v, u]*HPL[{1}, 1 - w])/
      512 + (5*C4[u, v, w]*HPL[{1}, 1 - w])/48 + 
     (35*C4[v, w, u]*HPL[{1}, 1 - w])/384 + (25*C4[w, u, v]*HPL[{1}, 1 - w])/
      256 + (83*C5[u, v, w]*HPL[{1}, 1 - w])/1536 + 
     (103*C5[v, w, u]*HPL[{1}, 1 - w])/1536 + 
     (21*C5[w, u, v]*HPL[{1}, 1 - w])/512 + (13*C6[u, v, w]*HPL[{1}, 1 - w])/
      384 + (65*C6[v, w, u]*HPL[{1}, 1 - w])/1536 + 
     (9*C6[w, u, v]*HPL[{1}, 1 - w])/512 + (C7[u, v, w]*HPL[{1}, 1 - w])/32 + 
     (19*C7[v, w, u]*HPL[{1}, 1 - w])/512 + (13*C7[w, u, v]*HPL[{1}, 1 - w])/
      512 + (C8[u, v, w]*HPL[{1}, 1 - w])/32 + 
     (13*C8[v, w, u]*HPL[{1}, 1 - w])/512 + (19*C8[w, u, v]*HPL[{1}, 1 - w])/
      512 - (3*A1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/512 + 
     (230929*A1[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/101376 - 
     (276997*A1[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/101376 + 
     (276997*A1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/101376 - 
     (230929*A1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/101376 + 
     (3*A1[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/512 + 
     (201181451*A10[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/405504 - 
     (201181451*A10[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/405504 + 
     (5*A2[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/1536 - 
     (155*A2[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/512 + 
     (39*A2[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/128 - 
     (39*A2[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/128 + 
     (155*A2[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/512 - 
     (5*A2[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/1536 + 
     (61475*A3[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/16896 - 
     (61475*A3[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/16896 - 
     (553*A4[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/3072 + 
     (553*A4[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/3072 - 
     (13723*A5[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/3072 + 
     (13723*A5[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/3072 + 
     (1493*A6[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/2304 - 
     (1493*A6[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/2304 - 
     (11*A7[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/384 + 
     (11*A7[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/384 + 
     (34961777*G[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w])/405504 - 
     (323441*H1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w])/33792 + 
     (109735*H1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w])/33792 + 
     (114773*H1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w])/33792 + 
     (448825*F1[u, v, w]*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w])/55296 - 
     (748289*F1[v, w, u]*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w])/67584 + 
     (13502123*F1[w, u, v]*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w])/135168 - 
     (274621*A1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/202752 + 
     (279373*A1[u, w, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/202752 - 
     (62177*A1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/202752 + 
     (3*A1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/512 - 
     (524035*A1[w, v, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/202752 - 
     (5819*A10[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/768 + 
     (126157937*A10[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/811008 - 
     (276204965*A10[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/811008 - 
     (132299*A11[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/4096 + 
     (71*A2[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/384 - 
     (23*A2[u, w, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/192 - 
     (325*A2[v, u, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/3072 - 
     (197*A2[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/512 - 
     (335*A2[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/3072 - 
     (21*A2[w, v, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/256 + 
     (53*A3[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/512 + 
     (66403*A3[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/33792 - 
     (18849*A3[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/11264 + 
     (5*A4[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/512 - 
     (183*A4[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1024 + 
     (A4[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/768 - 
     (7651*A5[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/6144 + 
     (19795*A5[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/6144 - 
     (319*A6[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/512 + 
     (491*A6[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/4608 - 
     (2495*A6[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/4608 - 
     (3*A7[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/128 + 
     (145*A7[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/3072 + 
     (233*A7[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/3072 - 
     (23*A8[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/128 + 
     (727*A9[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/3072 + 
     (184781*H1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/
      16896 - (184781*H1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w])/16896 - (533592223*F1[u, v, w]*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1081344 - 
     (256257733*F1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w])/811008 - (40600655*F1[w, u, v]*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/811008 + 
     (89962969*G[u, v, w]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w])/1622016 + 
     (5909*H1[u, v, w]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w])/4224 + 
     (47987*H1[v, w, u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w])/33792 - 
     (135535*H1[w, u, v]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w])/33792 - 
     (107828539*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w])/405504 + (107828539*F1[w, u, v]*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w])/405504 - 
     (548429*F1[u, v, w]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w])/90112 + 
     (542893*F1[v, w, u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w])/110592 + 
     (33039407*F1[w, u, v]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w])/540672 - 
     (7*A1[u, v, w]*HPL[{1}, 1 - w]^2)/768 + 
     (33*A1[u, w, v]*HPL[{1}, 1 - w]^2)/1024 - 
     (53*A1[v, u, w]*HPL[{1}, 1 - w]^2)/3072 + 
     (27*A1[v, w, u]*HPL[{1}, 1 - w]^2)/1024 - 
     (19*A1[w, u, v]*HPL[{1}, 1 - w]^2)/768 - 
     (25*A1[w, v, u]*HPL[{1}, 1 - w]^2)/1536 + 
     (13*A10[u, v, w]*HPL[{1}, 1 - w]^2)/64 + 
     (61*A10[v, w, u]*HPL[{1}, 1 - w]^2)/512 - 
     (165*A10[w, u, v]*HPL[{1}, 1 - w]^2)/512 + 
     (9*A11[u, v, w]*HPL[{1}, 1 - w]^2)/1024 - 
     (41*A2[u, v, w]*HPL[{1}, 1 - w]^2)/3072 + 
     (31*A2[u, w, v]*HPL[{1}, 1 - w]^2)/1536 - 
     (67*A2[v, u, w]*HPL[{1}, 1 - w]^2)/3072 + 
     (11*A2[v, w, u]*HPL[{1}, 1 - w]^2)/384 - (A2[w, u, v]*HPL[{1}, 1 - w]^2)/
      192 + (A2[w, v, u]*HPL[{1}, 1 - w]^2)/3072 - 
     (71*A3[u, v, w]*HPL[{1}, 1 - w]^2)/3072 - 
     (7*A3[v, w, u]*HPL[{1}, 1 - w]^2)/768 + 
     (21*A3[w, u, v]*HPL[{1}, 1 - w]^2)/512 - 
     (7*A4[u, v, w]*HPL[{1}, 1 - w]^2)/1024 - 
     (7*A4[v, w, u]*HPL[{1}, 1 - w]^2)/1024 + 
     (5*A4[w, u, v]*HPL[{1}, 1 - w]^2)/1024 + 
     (71*A6[u, v, w]*HPL[{1}, 1 - w]^2)/3072 + 
     (7*A6[v, w, u]*HPL[{1}, 1 - w]^2)/768 - 
     (21*A6[w, u, v]*HPL[{1}, 1 - w]^2)/512 - 
     (107*A7[u, v, w]*HPL[{1}, 1 - w]^2)/3072 - 
     (A7[v, w, u]*HPL[{1}, 1 - w]^2)/48 + (15*A7[w, u, v]*HPL[{1}, 1 - w]^2)/
      512 + (9*A8[u, v, w]*HPL[{1}, 1 - w]^2)/512 + 
     (3*A9[u, v, w]*HPL[{1}, 1 - w]^2)/512 - 
     (34961777*G[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2)/405504 + 
     (323441*H1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2)/33792 - 
     (114773*H1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2)/33792 - 
     (109735*H1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2)/33792 + 
     (13077325*F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2)/135168 - 
     (13077325*F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2)/135168 - 
     (49884139*G[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2)/1622016 - 
     (15437*H1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2)/8448 - 
     (67501*H1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2)/33792 + 
     (93953*H1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2)/16896 + 
     (40600655*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2)/
      811008 + (256257733*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2)/811008 + (533592223*F1[w, u, v]*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2)/1081344 - 
     (965225*F1[u, v, w]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2)/33792 + 
     (1653859*F1[v, w, u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2)/270336 - 
     (24500791*F1[w, u, v]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2)/270336 + 
     (3*G[u, v, w]*HPL[{1}, 1 - w]^3)/64 + (73*H1[u, v, w]*HPL[{1}, 1 - w]^3)/
      4608 - (7*H1[v, w, u]*HPL[{1}, 1 - w]^3)/512 + 
     (65*H1[w, u, v]*HPL[{1}, 1 - w]^3)/4608 - 
     (13502123*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3)/135168 + 
     (748289*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3)/67584 - 
     (448825*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3)/55296 + 
     (1347869*F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3)/270336 - 
     (6989695*F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3)/180224 - 
     (354757*F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3)/110592 + 
     (89*F1[u, v, w]*HPL[{1}, 1 - w]^4)/9216 + 
     (95*F1[v, w, u]*HPL[{1}, 1 - w]^4)/18432 - 
     (81*F1[w, u, v]*HPL[{1}, 1 - w]^4)/2048 - 
     (A1[u, v, w]*HPL[{0, 1}, 1 - u])/256 + (A1[v, u, w]*HPL[{0, 1}, 1 - u])/
      768 - (A1[v, w, u]*HPL[{0, 1}, 1 - u])/384 + 
     (A1[w, u, v]*HPL[{0, 1}, 1 - u])/384 - (A1[w, v, u]*HPL[{0, 1}, 1 - u])/
      192 - (9*A10[u, v, w]*HPL[{0, 1}, 1 - u])/128 + 
     (9*A10[v, w, u]*HPL[{0, 1}, 1 - u])/128 - 
     (A11[u, v, w]*HPL[{0, 1}, 1 - u])/128 - (A2[u, v, w]*HPL[{0, 1}, 1 - u])/
      192 - (A2[u, w, v]*HPL[{0, 1}, 1 - u])/384 + 
     (A2[v, u, w]*HPL[{0, 1}, 1 - u])/384 + (A2[w, u, v]*HPL[{0, 1}, 1 - u])/
      768 - (A2[w, v, u]*HPL[{0, 1}, 1 - u])/256 + 
     (A3[u, v, w]*HPL[{0, 1}, 1 - u])/256 + (A3[v, w, u]*HPL[{0, 1}, 1 - u])/
      768 + (A3[w, u, v]*HPL[{0, 1}, 1 - u])/384 + 
     (A4[u, v, w]*HPL[{0, 1}, 1 - u])/128 - (A4[v, w, u]*HPL[{0, 1}, 1 - u])/
      384 + (A4[w, u, v]*HPL[{0, 1}, 1 - u])/384 - 
     (A6[u, v, w]*HPL[{0, 1}, 1 - u])/256 - (A6[v, w, u]*HPL[{0, 1}, 1 - u])/
      768 - (A6[w, u, v]*HPL[{0, 1}, 1 - u])/384 + 
     (A7[u, v, w]*HPL[{0, 1}, 1 - u])/256 + (A7[v, w, u]*HPL[{0, 1}, 1 - u])/
      768 + (A7[w, u, v]*HPL[{0, 1}, 1 - u])/384 + 
     (1193*G[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u])/128 + 
     (383*H1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u])/3072 + 
     (997*H1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u])/3072 + 
     (911*H1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u])/1024 - 
     (2520671*F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u])/49152 - 
     (78986207*F1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u])/1622016 - 
     (1489691*F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u])/50688 + 
     (333759425*G[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u])/1622016 - 
     (83045*H1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u])/202752 + 
     (477823*H1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u])/202752 - 
     (381703*H1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u])/202752 - 
     (466369889*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u])/4866048 + (2311702055*F1[v, w, u]*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u])/4866048 + 
     (63473467*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u])/811008 + (78937603*F1[u, v, w]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u])/811008 + (22672175*F1[v, w, u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u])/540672 + (8698991*F1[w, u, v]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u])/90112 + (195099635*G[u, v, w]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u])/811008 + (371365*H1[u, v, w]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u])/101376 + (357241*H1[v, w, u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u])/101376 - (759883*H1[w, u, v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u])/101376 - (259201313*F1[u, v, w]*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/608256 - 
     (2545*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/
      144 + (21505721*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u])/27648 - (28957909*F1[u, v, w]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/270336 - 
     (31030333*F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u])/90112 - (1288153*F1[w, u, v]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/22528 - 
     (1297795*F1[u, v, w]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u])/202752 + 
     (574205*F1[v, w, u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u])/135168 - 
     (4115239*F1[w, u, v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u])/45056 + 
     (2544479*F1[u, v, w]*HPL[{0, 1}, 1 - u]^2)/49152 + 
     (80756063*F1[v, w, u]*HPL[{0, 1}, 1 - u]^2)/811008 + 
     (4825831*F1[w, u, v]*HPL[{0, 1}, 1 - u]^2)/50688 - 
     (A1[u, v, w]*HPL[{0, 1}, 1 - v])/768 + (A1[u, w, v]*HPL[{0, 1}, 1 - v])/
      384 - (A1[v, u, w]*HPL[{0, 1}, 1 - v])/256 + 
     (A1[v, w, u]*HPL[{0, 1}, 1 - v])/256 - (A1[w, u, v]*HPL[{0, 1}, 1 - v])/
      384 + (A1[w, v, u]*HPL[{0, 1}, 1 - v])/768 + 
     (9*A10[u, v, w]*HPL[{0, 1}, 1 - v])/128 - 
     (9*A10[w, u, v]*HPL[{0, 1}, 1 - v])/128 + 
     (A2[u, v, w]*HPL[{0, 1}, 1 - v])/768 + (A2[u, w, v]*HPL[{0, 1}, 1 - v])/
      256 - (A2[v, u, w]*HPL[{0, 1}, 1 - v])/384 + 
     (A2[v, w, u]*HPL[{0, 1}, 1 - v])/384 - (A2[w, u, v]*HPL[{0, 1}, 1 - v])/
      256 - (A2[w, v, u]*HPL[{0, 1}, 1 - v])/768 - 
     (A3[u, v, w]*HPL[{0, 1}, 1 - v])/768 + (A3[w, u, v]*HPL[{0, 1}, 1 - v])/
      768 - (A4[u, v, w]*HPL[{0, 1}, 1 - v])/192 + 
     (A4[w, u, v]*HPL[{0, 1}, 1 - v])/192 + (A6[u, v, w]*HPL[{0, 1}, 1 - v])/
      768 - (A6[w, u, v]*HPL[{0, 1}, 1 - v])/768 - 
     (A7[u, v, w]*HPL[{0, 1}, 1 - v])/768 + (A7[w, u, v]*HPL[{0, 1}, 1 - v])/
      768 - (5130895*G[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v])/147456 + 
     (1138063*H1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v])/202752 - 
     (264907*H1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v])/202752 - 
     (797527*H1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v])/202752 + 
     (72055043*F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v])/540672 + 
     (84128783*F1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v])/811008 + 
     (24948563*F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v])/270336 + 
     (307*H1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v])/1536 - 
     (307*H1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v])/1536 - 
     (1473304841*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - v])/4866048 + (1607240615*F1[v, w, u]*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v])/4866048 + 
     (77806907*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - v])/811008 - (31316095*F1[u, v, w]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - v])/1622016 + (31316095*F1[w, u, v]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - v])/1622016 + (5130895*G[u, v, w]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v])/147456 - (1138063*H1[u, v, w]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v])/202752 + (797527*H1[v, w, u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v])/202752 + (264907*H1[w, u, v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v])/202752 - (25877721*F1[u, v, w]*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/90112 + 
     (25877721*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v])/90112 - (77806907*F1[u, v, w]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/811008 - 
     (1607240615*F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v])/4866048 + (1473304841*F1[w, u, v]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/4866048 - 
     (24948563*F1[u, v, w]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v])/270336 - 
     (84128783*F1[v, w, u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v])/811008 - 
     (72055043*F1[w, u, v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v])/540672 - 
     (583877495*F1[u, v, w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/4866048 + 
     (1592016545*F1[v, w, u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/4866048 + 
     (29762147*F1[w, u, v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/270336 + 
     (3542767*F1[u, v, w]*HPL[{0, 1}, 1 - v]^2)/811008 - 
     (3542767*F1[w, u, v]*HPL[{0, 1}, 1 - v]^2)/811008 + 
     (A1[u, v, w]*HPL[{0, 1}, 1 - w])/192 - (A1[u, w, v]*HPL[{0, 1}, 1 - w])/
      384 + (A1[v, u, w]*HPL[{0, 1}, 1 - w])/384 - 
     (A1[v, w, u]*HPL[{0, 1}, 1 - w])/768 + (A1[w, v, u]*HPL[{0, 1}, 1 - w])/
      256 - (9*A10[v, w, u]*HPL[{0, 1}, 1 - w])/128 + 
     (9*A10[w, u, v]*HPL[{0, 1}, 1 - w])/128 + 
     (A11[u, v, w]*HPL[{0, 1}, 1 - w])/128 + (A2[u, v, w]*HPL[{0, 1}, 1 - w])/
      256 - (A2[u, w, v]*HPL[{0, 1}, 1 - w])/768 - 
     (A2[v, w, u]*HPL[{0, 1}, 1 - w])/384 + (A2[w, u, v]*HPL[{0, 1}, 1 - w])/
      384 + (A2[w, v, u]*HPL[{0, 1}, 1 - w])/192 - 
     (A3[u, v, w]*HPL[{0, 1}, 1 - w])/384 - (A3[v, w, u]*HPL[{0, 1}, 1 - w])/
      768 - (A3[w, u, v]*HPL[{0, 1}, 1 - w])/256 - 
     (A4[u, v, w]*HPL[{0, 1}, 1 - w])/384 + (A4[v, w, u]*HPL[{0, 1}, 1 - w])/
      384 - (A4[w, u, v]*HPL[{0, 1}, 1 - w])/128 + 
     (A6[u, v, w]*HPL[{0, 1}, 1 - w])/384 + (A6[v, w, u]*HPL[{0, 1}, 1 - w])/
      768 + (A6[w, u, v]*HPL[{0, 1}, 1 - w])/256 - 
     (A7[u, v, w]*HPL[{0, 1}, 1 - w])/384 - (A7[v, w, u]*HPL[{0, 1}, 1 - w])/
      768 - (A7[w, u, v]*HPL[{0, 1}, 1 - w])/256 - 
     (195099635*G[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w])/811008 - 
     (371365*H1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w])/101376 + 
     (759883*H1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w])/101376 - 
     (357241*H1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w])/101376 + 
     (4115239*F1[u, v, w]*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w])/45056 - 
     (574205*F1[v, w, u]*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w])/135168 + 
     (1297795*F1[w, u, v]*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w])/202752 - 
     (333759425*G[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w])/1622016 + 
     (83045*H1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w])/202752 + 
     (381703*H1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w])/202752 - 
     (477823*H1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w])/202752 + 
     (1288153*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w])/
      22528 + (31030333*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/90112 + (28957909*F1[w, u, v]*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w])/270336 - 
     (8698991*F1[u, v, w]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/90112 - 
     (22672175*F1[v, w, u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/540672 - 
     (78937603*F1[w, u, v]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/811008 - 
     (1193*G[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/128 - 
     (383*H1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/3072 - 
     (911*H1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/1024 - 
     (997*H1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/3072 - 
     (21505721*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w])/27648 + (2545*F1[v, w, u]*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/144 + 
     (259201313*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w])/608256 - (63473467*F1[u, v, w]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/811008 - 
     (2311702055*F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w])/4866048 + (466369889*F1[w, u, v]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/4866048 + 
     (1489691*F1[u, v, w]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w])/50688 + 
     (78986207*F1[v, w, u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w])/1622016 + 
     (2520671*F1[w, u, v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w])/49152 - 
     (271986755*F1[u, v, w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/608256 + 
     (271986755*F1[w, u, v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/608256 - 
     (29762147*F1[u, v, w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/270336 - 
     (1592016545*F1[v, w, u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/4866048 + 
     (583877495*F1[w, u, v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/4866048 - 
     (4825831*F1[u, v, w]*HPL[{0, 1}, 1 - w]^2)/50688 - 
     (80756063*F1[v, w, u]*HPL[{0, 1}, 1 - w]^2)/811008 - 
     (2544479*F1[w, u, v]*HPL[{0, 1}, 1 - w]^2)/49152 + 
     (4763*G[u, v, w]*HPL[{0, 0, 1}, 1 - u])/512 + 
     (371*H1[u, v, w]*HPL[{0, 0, 1}, 1 - u])/3072 + 
     (985*H1[v, w, u]*HPL[{0, 0, 1}, 1 - u])/3072 + 
     (865*H1[w, u, v]*HPL[{0, 0, 1}, 1 - u])/1024 - 
     (2530751*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u])/12288 - 
     (26824293*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u])/90112 - 
     (2114315*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u])/8448 + 
     (27053605*F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/270336 + 
     (79292963*F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/811008 + 
     (2183705*F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/33792 - 
     (2534543*F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/24576 - 
     (8920311*F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/90112 - 
     (13456997*F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/202752 + 
     (307*H1[v, w, u]*HPL[{0, 0, 1}, 1 - v])/1536 - 
     (307*H1[w, u, v]*HPL[{0, 0, 1}, 1 - v])/1536 + 
     (133120951*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/811008 + 
     (27466789*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/135168 + 
     (44230573*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/270336 - 
     (12814799*F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/270336 + 
     (12814799*F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/270336 - 
     (44230573*F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/270336 - 
     (27466789*F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/135168 - 
     (133120951*F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/811008 - 
     (4763*G[u, v, w]*HPL[{0, 0, 1}, 1 - w])/512 - 
     (371*H1[u, v, w]*HPL[{0, 0, 1}, 1 - w])/3072 - 
     (865*H1[v, w, u]*HPL[{0, 0, 1}, 1 - w])/1024 - 
     (985*H1[w, u, v]*HPL[{0, 0, 1}, 1 - w])/3072 + 
     (13456997*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/202752 + 
     (8920311*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/90112 + 
     (2534543*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/24576 - 
     (2183705*F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/33792 - 
     (79292963*F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/811008 - 
     (27053605*F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/270336 + 
     (2114315*F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/8448 + 
     (26824293*F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/90112 + 
     (2530751*F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/12288 - 
     (3*G[u, v, w]*HPL[{0, 1, 1}, 1 - u])/64 - 
     (H1[u, v, w]*HPL[{0, 1, 1}, 1 - u])/48 - 
     (5*H1[v, w, u]*HPL[{0, 1, 1}, 1 - u])/192 + 
     (H1[w, u, v]*HPL[{0, 1, 1}, 1 - u])/32 + 
     (25*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/256 - 
     (247*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/768 - 
     (7*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/24 + 
     (480293345*F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/2433024 - 
     (97998989*F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/110592 - 
     (11963035*F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/67584 + 
     (260194901*F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/304128 - 
     (47829*F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/11264 - 
     (835032961*F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/608256 - 
     (H1[v, w, u]*HPL[{0, 1, 1}, 1 - v])/192 + 
     (H1[w, u, v]*HPL[{0, 1, 1}, 1 - v])/192 + 
     (592077043*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/1216512 - 
     (1601265863*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/2433024 - 
     (11676061*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/67584 - 
     (23*F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/768 + 
     (23*F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/768 + 
     (11676061*F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/67584 + 
     (1601265863*F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/2433024 - 
     (592077043*F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/1216512 + 
     (3*G[u, v, w]*HPL[{0, 1, 1}, 1 - w])/64 + 
     (H1[u, v, w]*HPL[{0, 1, 1}, 1 - w])/48 - 
     (H1[v, w, u]*HPL[{0, 1, 1}, 1 - w])/32 + 
     (5*H1[w, u, v]*HPL[{0, 1, 1}, 1 - w])/192 + 
     (835032961*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/608256 + 
     (47829*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/11264 - 
     (260194901*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/304128 + 
     (11963035*F1[u, v, w]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/67584 + 
     (97998989*F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/110592 - 
     (480293345*F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/2433024 + 
     (7*F1[u, v, w]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/24 + 
     (247*F1[v, w, u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/768 - 
     (25*F1[w, u, v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/256 - 
     (2530511*F1[u, v, w]*HPL[{0, 0, 0, 1}, 1 - u])/12288 - 
     (80350295*F1[v, w, u]*HPL[{0, 0, 0, 1}, 1 - u])/405504 - 
     (3060595*F1[w, u, v]*HPL[{0, 0, 0, 1}, 1 - u])/25344 - 
     (31380775*F1[u, v, w]*HPL[{0, 0, 0, 1}, 1 - v])/405504 + 
     (31380775*F1[w, u, v]*HPL[{0, 0, 0, 1}, 1 - v])/405504 + 
     (3060595*F1[u, v, w]*HPL[{0, 0, 0, 1}, 1 - w])/25344 + 
     (80350295*F1[v, w, u]*HPL[{0, 0, 0, 1}, 1 - w])/405504 + 
     (2530511*F1[w, u, v]*HPL[{0, 0, 0, 1}, 1 - w])/12288 + 
     (25*F1[u, v, w]*HPL[{0, 0, 1, 1}, 1 - u])/256 - 
     (31*F1[v, w, u]*HPL[{0, 0, 1, 1}, 1 - u])/256 - 
     (3*F1[w, u, v]*HPL[{0, 0, 1, 1}, 1 - u])/32 - 
     (7*F1[u, v, w]*HPL[{0, 0, 1, 1}, 1 - v])/256 + 
     (7*F1[w, u, v]*HPL[{0, 0, 1, 1}, 1 - v])/256 + 
     (3*F1[u, v, w]*HPL[{0, 0, 1, 1}, 1 - w])/32 + 
     (31*F1[v, w, u]*HPL[{0, 0, 1, 1}, 1 - w])/256 - 
     (25*F1[w, u, v]*HPL[{0, 0, 1, 1}, 1 - w])/256 + 
     (2544511*F1[u, v, w]*HPL[{0, 1, 1, 1}, 1 - u])/8192 + 
     (26915637*F1[v, w, u]*HPL[{0, 1, 1, 1}, 1 - u])/90112 + 
     (514083*F1[w, u, v]*HPL[{0, 1, 1, 1}, 1 - u])/2816 + 
     (10464981*F1[u, v, w]*HPL[{0, 1, 1, 1}, 1 - v])/90112 - 
     (10464981*F1[w, u, v]*HPL[{0, 1, 1, 1}, 1 - v])/90112 - 
     (514083*F1[u, v, w]*HPL[{0, 1, 1, 1}, 1 - w])/2816 - 
     (26915637*F1[v, w, u]*HPL[{0, 1, 1, 1}, 1 - w])/90112 - 
     (2544511*F1[w, u, v]*HPL[{0, 1, 1, 1}, 1 - w])/8192 - 
     (39*HPL[{1}, 1 - u]^3*J1[u, v, w])/2048 - 
     (12143*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*J1[u, v, w])/22528 + 
     (8007*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*J1[u, v, w])/22528 - 
     (518359*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*J1[u, v, w])/135168 - 
     (8007*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*J1[u, v, w])/22528 + 
     (518359*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*J1[u, v, w])/135168 + 
     (12143*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*J1[u, v, w])/22528 + 
     (39*HPL[{1}, 1 - w]^3*J1[u, v, w])/2048 - 
     (1601*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*J1[u, v, w])/4096 - 
     (198221*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*J1[u, v, w])/270336 + 
     (219581*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*J1[u, v, w])/135168 + 
     (51091*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*J1[u, v, w])/73728 - 
     (51091*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*J1[u, v, w])/73728 - 
     (219581*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*J1[u, v, w])/135168 + 
     (198221*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*J1[u, v, w])/270336 + 
     (1601*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*J1[u, v, w])/4096 - 
     (1769*HPL[{0, 0, 1}, 1 - u]*J1[u, v, w])/4096 + 
     (1769*HPL[{0, 0, 1}, 1 - w]*J1[u, v, w])/4096 - 
     (7*HPL[{0, 1, 1}, 1 - u]*J1[u, v, w])/384 + 
     (7*HPL[{0, 1, 1}, 1 - w]*J1[u, v, w])/384 - 
     (35*HPL[{1}, 1 - u]^3*J1[v, w, u])/2048 - 
     (37927*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*J1[v, w, u])/16896 + 
     (214943*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*J1[v, w, u])/135168 + 
     (HPL[{1}, 1 - v]^3*J1[v, w, u])/512 - 
     (39805*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*J1[v, w, u])/45056 + 
     (202997*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[v, w, u])/
      67584 - (15519*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*J1[v, w, u])/45056 + 
     (34899*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*J1[v, w, u])/45056 + 
     (18885*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*J1[v, w, u])/45056 - 
     (19*HPL[{1}, 1 - w]^3*J1[v, w, u])/2048 - 
     (843*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*J1[v, w, u])/4096 + 
     (162623*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*J1[v, w, u])/270336 + 
     (49507*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*J1[v, w, u])/45056 - 
     (276539*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*J1[v, w, u])/270336 + 
     (379*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*J1[v, w, u])/2048 + 
     (495263*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*J1[v, w, u])/270336 + 
     (46687*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*J1[v, w, u])/36864 + 
     (42283*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*J1[v, w, u])/73728 - 
     (1125*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*J1[v, w, u])/4096 - 
     (915*HPL[{0, 0, 1}, 1 - u]*J1[v, w, u])/4096 + 
     (427*HPL[{0, 0, 1}, 1 - v]*J1[v, w, u])/2048 - 
     (1079*HPL[{0, 0, 1}, 1 - w]*J1[v, w, u])/4096 - 
     (HPL[{0, 1, 1}, 1 - u]*J1[v, w, u])/48 - 
     (HPL[{0, 1, 1}, 1 - v]*J1[v, w, u])/384 - 
     (3*HPL[{0, 1, 1}, 1 - w]*J1[v, w, u])/128 + 
     (19*HPL[{1}, 1 - u]^3*J1[w, u, v])/2048 - 
     (18885*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*J1[w, u, v])/45056 + 
     (15519*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*J1[w, u, v])/45056 - 
     (HPL[{1}, 1 - v]^3*J1[w, u, v])/512 - 
     (34899*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*J1[w, u, v])/45056 - 
     (202997*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*J1[w, u, v])/
      67584 - (214943*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*J1[w, u, v])/135168 + 
     (39805*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*J1[w, u, v])/45056 + 
     (37927*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*J1[w, u, v])/16896 + 
     (35*HPL[{1}, 1 - w]^3*J1[w, u, v])/2048 + 
     (1125*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*J1[w, u, v])/4096 - 
     (42283*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*J1[w, u, v])/73728 - 
     (46687*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*J1[w, u, v])/36864 - 
     (495263*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*J1[w, u, v])/270336 - 
     (379*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*J1[w, u, v])/2048 + 
     (276539*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*J1[w, u, v])/270336 - 
     (49507*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*J1[w, u, v])/45056 - 
     (162623*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*J1[w, u, v])/270336 + 
     (843*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*J1[w, u, v])/4096 + 
     (1079*HPL[{0, 0, 1}, 1 - u]*J1[w, u, v])/4096 - 
     (427*HPL[{0, 0, 1}, 1 - v]*J1[w, u, v])/2048 + 
     (915*HPL[{0, 0, 1}, 1 - w]*J1[w, u, v])/4096 + 
     (3*HPL[{0, 1, 1}, 1 - u]*J1[w, u, v])/128 + 
     (HPL[{0, 1, 1}, 1 - v]*J1[w, u, v])/384 + 
     (HPL[{0, 1, 1}, 1 - w]*J1[w, u, v])/48 - (HPL[{1}, 1 - u]^3*K1[u, v, w])/
      96 + (3976243*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*K1[u, v, w])/811008 - 
     (40859*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*K1[u, v, w])/270336 - 
     (40613941*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*K1[u, v, w])/405504 + 
     (40859*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*K1[u, v, w])/270336 + 
     (40613941*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*K1[u, v, w])/405504 - 
     (3976243*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*K1[u, v, w])/811008 + 
     (HPL[{1}, 1 - w]^3*K1[u, v, w])/96 - 
     (3845*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*K1[u, v, w])/3072 - 
     (85919*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*K1[u, v, w])/67584 + 
     (986663*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*K1[u, v, w])/202752 - 
     (11869477*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*K1[u, v, w])/405504 + 
     (11869477*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*K1[u, v, w])/405504 - 
     (986663*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*K1[u, v, w])/202752 + 
     (85919*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*K1[u, v, w])/67584 + 
     (3845*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*K1[u, v, w])/3072 - 
     (2071*HPL[{0, 0, 1}, 1 - u]*K1[u, v, w])/1536 + 
     (2071*HPL[{0, 0, 1}, 1 - w]*K1[u, v, w])/1536 - 
     (3*HPL[{0, 1, 1}, 1 - u]*K1[u, v, w])/128 + 
     (3*HPL[{0, 1, 1}, 1 - w]*K1[u, v, w])/128 - 
     (5*HPL[{1}, 1 - u]^3*K1[v, w, u])/384 - 
     (65143187*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*K1[v, w, u])/1622016 + 
     (97312577*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*K1[v, w, u])/1622016 - 
     (HPL[{1}, 1 - v]^3*K1[v, w, u])/384 + 
     (2229995*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*K1[v, w, u])/202752 + 
     (1191295*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*K1[v, w, u])/
      4224 + (4943737*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*K1[v, w, u])/811008 - 
     (438905*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*K1[v, w, u])/135168 - 
     (836951*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*K1[v, w, u])/270336 - 
     (3*HPL[{1}, 1 - w]^3*K1[v, w, u])/256 - 
     (3229*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*K1[v, w, u])/3072 + 
     (259115*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*K1[v, w, u])/101376 + 
     (59699*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*K1[v, w, u])/33792 - 
     (468433*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*K1[v, w, u])/202752 + 
     (77*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*K1[v, w, u])/384 + 
     (68439*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*K1[v, w, u])/22528 + 
     (124525*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*K1[v, w, u])/25344 + 
     (13861877*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*K1[v, w, u])/405504 - 
     (1073*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*K1[v, w, u])/1024 - 
     (1721*HPL[{0, 0, 1}, 1 - u]*K1[v, w, u])/1536 + 
     (175*HPL[{0, 0, 1}, 1 - v]*K1[v, w, u])/768 - 
     (271*HPL[{0, 0, 1}, 1 - w]*K1[v, w, u])/256 - 
     (3*HPL[{0, 1, 1}, 1 - u]*K1[v, w, u])/128 - 
     (3*HPL[{0, 1, 1}, 1 - w]*K1[v, w, u])/128 + 
     (3*HPL[{1}, 1 - u]^3*K1[w, u, v])/256 + 
     (836951*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*K1[w, u, v])/270336 - 
     (4943737*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*K1[w, u, v])/811008 + 
     (HPL[{1}, 1 - v]^3*K1[w, u, v])/384 + 
     (438905*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*K1[w, u, v])/135168 - 
     (1191295*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*K1[w, u, v])/
      4224 - (97312577*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*K1[w, u, v])/
      1622016 - (2229995*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*K1[w, u, v])/
      202752 + (65143187*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*K1[w, u, v])/
      1622016 + (5*HPL[{1}, 1 - w]^3*K1[w, u, v])/384 + 
     (1073*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*K1[w, u, v])/1024 - 
     (13861877*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*K1[w, u, v])/405504 - 
     (124525*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*K1[w, u, v])/25344 - 
     (68439*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*K1[w, u, v])/22528 - 
     (77*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*K1[w, u, v])/384 + 
     (468433*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*K1[w, u, v])/202752 - 
     (59699*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*K1[w, u, v])/33792 - 
     (259115*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*K1[w, u, v])/101376 + 
     (3229*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*K1[w, u, v])/3072 + 
     (271*HPL[{0, 0, 1}, 1 - u]*K1[w, u, v])/256 - 
     (175*HPL[{0, 0, 1}, 1 - v]*K1[w, u, v])/768 + 
     (1721*HPL[{0, 0, 1}, 1 - w]*K1[w, u, v])/1536 + 
     (3*HPL[{0, 1, 1}, 1 - u]*K1[w, u, v])/128 + 
     (3*HPL[{0, 1, 1}, 1 - w]*K1[w, u, v])/128 - 
     (82357183*F1[u, v, w]*Omega2[u, v, w])/405504 - 
     (80746559*F1[v, w, u]*Omega2[u, v, w])/405504 - 
     (530875*F1[w, u, v]*Omega2[u, v, w])/4224 + 
     (530875*F1[u, v, w]*Omega2[v, w, u])/4224 + 
     (80746559*F1[v, w, u]*Omega2[v, w, u])/405504 + 
     (82357183*F1[w, u, v]*Omega2[v, w, u])/405504 - 
     (12583*F1[u, v, w]*Omega2[w, u, v])/3168 + 
     (12583*F1[w, u, v]*Omega2[w, u, v])/3168 + 
     (43*HPL[{1}, 1 - u]^5*Phi6[u, v, w])/2048 + 
     (125201*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*Phi6[u, v, w])/67584 + 
     (301120273*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*Phi6[u, v, w])/6488064 - 
     (101236837*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*Phi6[u, v, w])/1622016 - 
     (86987*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*Phi6[u, v, w])/67584 + 
     (53047*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*Phi6[u, v, w])/16896 - 
     (17076445*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       Phi6[u, v, w])/811008 - (26922777*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*Phi6[u, v, w])/90112 + 
     (86987*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*Phi6[u, v, w])/67584 + 
     (684573353*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*Phi6[u, v, w])/6488064 + 
     (26922777*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
       Phi6[u, v, w])/90112 + (101236837*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
       Phi6[u, v, w])/1622016 - (684573353*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - w]^3*Phi6[u, v, w])/6488064 + 
     (17076445*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       Phi6[u, v, w])/811008 - (301120273*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*
       Phi6[u, v, w])/6488064 - (53047*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*
       Phi6[u, v, w])/16896 - (125201*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
       Phi6[u, v, w])/67584 - (43*HPL[{1}, 1 - w]^5*Phi6[u, v, w])/2048 - 
     (2533775*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*Phi6[u, v, w])/49152 - 
     (1389869*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       Phi6[u, v, w])/55296 + (85779161*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u]*Phi6[u, v, w])/9732096 - 
     (335551*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*Phi6[u, v, w])/33792 - 
     (299911657*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       Phi6[u, v, w])/4866048 + (125872669*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w])/90112 + 
     (4815889*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       Phi6[u, v, w])/405504 + (255800977*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u]*Phi6[u, v, w])/9732096 - 
     (36031043*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       Phi6[u, v, w])/811008 - (24925475*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
       Phi6[u, v, w])/1081344 - (43353445*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - u]^2*Phi6[u, v, w])/540672 - 
     (31657975*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*Phi6[u, v, w])/811008 + 
     (69398591*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*Phi6[u, v, w])/405504 + 
     (7117533*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*Phi6[u, v, w])/360448 - 
     (37131887*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       Phi6[u, v, w])/2433024 + (177603185*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - v]*Phi6[u, v, w])/4866048 + 
     (45662821*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       Phi6[u, v, w])/811008 - (177603185*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*Phi6[u, v, w])/4866048 - 
     (45662821*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       Phi6[u, v, w])/811008 + (37131887*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v]*Phi6[u, v, w])/2433024 - 
     (7117533*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*Phi6[u, v, w])/360448 - 
     (635546339*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       Phi6[u, v, w])/2433024 + (2602350457*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w])/4866048 - 
     (257651*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       Phi6[u, v, w])/33792 - (159708023*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
       Phi6[u, v, w])/811008 + (159708023*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]^2*Phi6[u, v, w])/811008 + 
     (24925475*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*Phi6[u, v, w])/1081344 + 
     (36031043*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       Phi6[u, v, w])/811008 - (4815889*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - w]*Phi6[u, v, w])/405504 + 
     (335551*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*Phi6[u, v, w])/33792 - 
     (255800977*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       Phi6[u, v, w])/9732096 - (125872669*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w])/90112 - 
     (85779161*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       Phi6[u, v, w])/9732096 + (299911657*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w]*Phi6[u, v, w])/4866048 + 
     (1389869*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       Phi6[u, v, w])/55296 + (2533775*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
       Phi6[u, v, w])/49152 - (4109880083*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w]*Phi6[u, v, w])/4866048 + 
     (4109880083*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       Phi6[u, v, w])/4866048 + (257651*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*Phi6[u, v, w])/33792 - 
     (2602350457*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       Phi6[u, v, w])/4866048 + (635546339*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*Phi6[u, v, w])/2433024 - 
     (69398591*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*Phi6[u, v, w])/405504 + 
     (31657975*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*Phi6[u, v, w])/811008 + 
     (43353445*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*Phi6[u, v, w])/540672 - 
     (2542331*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w])/12288 + 
     (1897072361*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       Phi6[u, v, w])/4866048 - (347489729*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w])/9732096 + 
     (267055037*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       Phi6[u, v, w])/2433024 - (5324167*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w])/135168 + 
     (1811310275*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w])/
      9732096 - (17554547*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       Phi6[u, v, w])/270336 + (448291895*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w])/540672 - 
     (141641959*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w])/
      608256 + (1491927895*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w])/4866048 - 
     (1491927895*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       Phi6[u, v, w])/4866048 + (141641959*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w])/608256 - 
     (165114083*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*Phi6[u, v, w])/
      180224 + (165114083*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       Phi6[u, v, w])/180224 - (1811310275*HPL[{1}, 1 - u]^2*
       HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w])/9732096 + 
     (5324167*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       Phi6[u, v, w])/135168 + (347489729*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w])/9732096 - 
     (267055037*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       Phi6[u, v, w])/2433024 - (1897072361*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w])/4866048 + 
     (2542331*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w])/12288 - 
     (448291895*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w])/
      540672 + (17554547*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       Phi6[u, v, w])/270336 + (13*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*
       Phi6[u, v, w])/512 + (4947755*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w])/25344 - 
     (44521273*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w])/
      9732096 + (132375235*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w])/405504 - 
     (1000066081*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       Phi6[u, v, w])/540672 - (488593505*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w])/9732096 + 
     (35677957*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w])/
      67584 + (2504020787*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
       Phi6[u, v, w])/4866048 + (7573806367*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w])/4866048 + 
     (84150223*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w])/
      2433024 - (63958289*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w])/405504 + 
     (63958289*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       Phi6[u, v, w])/405504 - (84150223*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w])/2433024 - 
     (582674311*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*Phi6[u, v, w])/
      608256 + (582674311*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       Phi6[u, v, w])/608256 + (488593505*HPL[{1}, 1 - u]^2*
       HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w])/9732096 + 
     (1000066081*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
       Phi6[u, v, w])/540672 + (44521273*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w])/9732096 - 
     (132375235*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       Phi6[u, v, w])/405504 - (4947755*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w])/25344 - 
     (13*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w])/512 - 
     (7573806367*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w])/
      4866048 - (2504020787*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
       Phi6[u, v, w])/4866048 - (35677957*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w])/67584 - 
     (2552711*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*Phi6[u, v, w])/12288 - 
     (16231933*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*Phi6[u, v, w])/
      73728 + (350526221*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
       Phi6[u, v, w])/811008 - (68821469*HPL[{1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - v]*Phi6[u, v, w])/101376 + 
     (68821469*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*Phi6[u, v, w])/
      101376 - (350526221*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*
       Phi6[u, v, w])/811008 + (16231933*HPL[{1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w]*Phi6[u, v, w])/73728 + 
     (2552711*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*Phi6[u, v, w])/12288 + 
     (35674789*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*Phi6[u, v, w])/
      67584 - (1273811633*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
       Phi6[u, v, w])/2433024 - (490709299*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u]*Phi6[u, v, w])/608256 + 
     (366611543*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*Phi6[u, v, w])/
      2433024 - (366611543*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
       Phi6[u, v, w])/2433024 + (490709299*HPL[{1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - w]*Phi6[u, v, w])/608256 + 
     (1273811633*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*Phi6[u, v, w])/
      2433024 - (35674789*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
       Phi6[u, v, w])/67584 + (2545615*HPL[{1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u]*Phi6[u, v, w])/8192 - 
     (9617221*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*Phi6[u, v, w])/22528 - 
     (56592377*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*Phi6[u, v, w])/
      90112 + (25288249*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*
       Phi6[u, v, w])/90112 - (25288249*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v]*Phi6[u, v, w])/90112 + 
     (56592377*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*Phi6[u, v, w])/
      90112 + (9617221*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
       Phi6[u, v, w])/22528 - (2545615*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w]*Phi6[u, v, w])/8192 - 
     (885*HPL[{0, 0, 0, 0, 1}, 1 - u]*Phi6[u, v, w])/512 + 
     (885*HPL[{0, 0, 0, 0, 1}, 1 - w]*Phi6[u, v, w])/512 - 
     (37*HPL[{0, 0, 0, 1, 1}, 1 - u]*Phi6[u, v, w])/256 + 
     (37*HPL[{0, 0, 0, 1, 1}, 1 - w]*Phi6[u, v, w])/256 + 
     (1703143*HPL[{0, 0, 1, 0, 1}, 1 - u]*Phi6[u, v, w])/12288 - 
     (1703143*HPL[{0, 0, 1, 0, 1}, 1 - w]*Phi6[u, v, w])/12288 - 
     (35678001*HPL[{0, 0, 1, 1, 1}, 1 - u]*Phi6[u, v, w])/11264 + 
     (35678001*HPL[{0, 0, 1, 1, 1}, 1 - w]*Phi6[u, v, w])/11264 - 
     (35677957*HPL[{0, 1, 0, 1, 1}, 1 - u]*Phi6[u, v, w])/33792 + 
     (35677957*HPL[{0, 1, 0, 1, 1}, 1 - w]*Phi6[u, v, w])/33792 + 
     (3*HPL[{0, 1, 1, 1, 1}, 1 - u]*Phi6[u, v, w])/256 - 
     (3*HPL[{0, 1, 1, 1, 1}, 1 - w]*Phi6[u, v, w])/256 - 
     (2117923*M1[u, v, w]*Phi6[u, v, w])/16896 - 
     (1703143*M1[v, u, w]*Phi6[u, v, w])/12288 + 
     (1703143*M1[v, w, u]*Phi6[u, v, w])/12288 + 
     (2117923*M1[w, v, u]*Phi6[u, v, w])/16896 - 
     (31540231*HPL[{1}, 1 - u]*Omega2[u, v, w]*Phi6[u, v, w])/405504 + 
     (31674079*HPL[{1}, 1 - v]*Omega2[u, v, w]*Phi6[u, v, w])/405504 - 
     (219*HPL[{1}, 1 - w]*Omega2[u, v, w]*Phi6[u, v, w])/512 + 
     (219*HPL[{1}, 1 - u]*Omega2[v, w, u]*Phi6[u, v, w])/512 - 
     (31674079*HPL[{1}, 1 - v]*Omega2[v, w, u]*Phi6[u, v, w])/405504 + 
     (31540231*HPL[{1}, 1 - w]*Omega2[v, w, u]*Phi6[u, v, w])/405504 - 
     (6558397*HPL[{1}, 1 - u]*Omega2[w, u, v]*Phi6[u, v, w])/50688 + 
     (6558397*HPL[{1}, 1 - w]*Omega2[w, u, v]*Phi6[u, v, w])/50688 - 
     (20659643*Phi6[u, v, w]*Qep[u, v, w])/19008 + 
     (53606327*Phi6[u, v, w]*Qep[u, w, v])/76032 - 
     (114750631*Phi6[u, v, w]*Qep[v, u, w])/76032 + 
     (114750631*Phi6[u, v, w]*Qep[v, w, u])/76032 - 
     (53606327*Phi6[u, v, w]*Qep[w, u, v])/76032 + 
     (20659643*Phi6[u, v, w]*Qep[w, v, u])/19008 - (25*S1[u, v, w])/256 - 
     (5*S1[u, w, v])/64 - (5*S1[v, u, w])/256 + (5*S1[v, w, u])/256 + 
     (5*S1[w, u, v])/64 + (25*S1[w, v, u])/256 + (15*S10[u, v, w])/64 - 
     (65*S10[u, w, v])/512 + (185*S10[v, u, w])/512 - 
     (185*S10[v, w, u])/512 + (65*S10[w, u, v])/512 - (15*S10[w, v, u])/64 + 
     (89*S11[u, v, w])/1536 - S11[u, w, v]/48 + (121*S11[v, u, w])/1536 - 
     (121*S11[v, w, u])/1536 + S11[w, u, v]/48 - (89*S11[w, v, u])/1536 + 
     (25*S12[u, v, w])/512 + (25*S12[v, u, w])/512 - (25*S12[v, w, u])/512 - 
     (25*S12[w, v, u])/512 - (49*S13[u, v, w])/768 - (39*S13[u, w, v])/512 + 
     (19*S13[v, u, w])/1536 - (19*S13[v, w, u])/1536 + 
     (39*S13[w, u, v])/512 + (49*S13[w, v, u])/768 - S14[u, v, w]/32 - 
     (19*S14[u, w, v])/512 + (3*S14[v, u, w])/512 - (3*S14[v, w, u])/512 + 
     (19*S14[w, u, v])/512 + S14[w, v, u]/32 + (13*S15[u, v, w])/512 + 
     (13*S15[u, w, v])/512 - (13*S15[w, u, v])/512 - (13*S15[w, v, u])/512 + 
     (19*S16[u, w, v])/512 - (19*S16[v, u, w])/512 + (19*S16[v, w, u])/512 - 
     (19*S16[w, u, v])/512 - (13*S17[u, v, w])/512 - S17[u, w, v]/32 + 
     (3*S17[v, u, w])/512 - (3*S17[v, w, u])/512 + S17[w, u, v]/32 + 
     (13*S17[w, v, u])/512 - (61*S18[u, v, w])/1536 - (37*S18[u, w, v])/768 + 
     (13*S18[v, u, w])/1536 - (13*S18[v, w, u])/1536 + 
     (37*S18[w, u, v])/768 + (61*S18[w, v, u])/1536 - 
     (61*S19[u, v, w])/1536 - (37*S19[u, w, v])/768 + 
     (13*S19[v, u, w])/1536 - (13*S19[v, w, u])/1536 + 
     (37*S19[w, u, v])/768 + (61*S19[w, v, u])/1536 - (21*S2[u, v, w])/512 - 
     (9*S2[u, w, v])/256 - (3*S2[v, u, w])/512 + (3*S2[v, w, u])/512 + 
     (9*S2[w, u, v])/256 + (21*S2[w, v, u])/512 + S20[u, v, w]/32 + 
     (19*S20[u, w, v])/512 - (3*S20[v, u, w])/512 + (3*S20[v, w, u])/512 - 
     (19*S20[w, u, v])/512 - S20[w, v, u]/32 - (227*S21[u, v, w])/1536 - 
     (199*S21[u, w, v])/1536 - (7*S21[v, u, w])/384 + (7*S21[v, w, u])/384 + 
     (199*S21[w, u, v])/1536 + (227*S21[w, v, u])/1536 + S22[u, v, w]/256 + 
     S22[u, w, v]/128 - S22[v, u, w]/256 + S22[v, w, u]/256 - 
     S22[w, u, v]/128 - S22[w, v, u]/256 - (3*S23[u, v, w])/512 + 
     (13*S23[u, w, v])/512 - S23[v, u, w]/32 + S23[v, w, u]/32 - 
     (13*S23[w, u, v])/512 + (3*S23[w, v, u])/512 + (19*S24[u, v, w])/512 + 
     (3*S24[u, w, v])/512 + S24[v, u, w]/32 - S24[v, w, u]/32 - 
     (3*S24[w, u, v])/512 - (19*S24[w, v, u])/512 - (83*S25[u, v, w])/1536 - 
     (103*S25[u, w, v])/1536 + (5*S25[v, u, w])/384 - (5*S25[v, w, u])/384 + 
     (103*S25[w, u, v])/1536 + (83*S25[w, v, u])/1536 - 
     (83*S26[u, v, w])/1536 - (103*S26[u, w, v])/1536 + 
     (5*S26[v, u, w])/384 - (5*S26[v, w, u])/384 + (103*S26[w, u, v])/1536 + 
     (83*S26[w, v, u])/1536 + (33*S27[u, v, w])/256 - 
     (189*S27[u, w, v])/256 + (111*S27[v, u, w])/128 - 
     (111*S27[v, w, u])/128 + (189*S27[w, u, v])/256 - 
     (33*S27[w, v, u])/256 + (2831*S28[u, v, w])/3072 + 
     (643*S28[u, w, v])/768 + (259*S28[v, u, w])/3072 - 
     (259*S28[v, w, u])/3072 - (643*S28[w, u, v])/768 - 
     (2831*S28[w, v, u])/3072 - S29[u, v, w]/384 - (77*S29[u, w, v])/1536 + 
     (73*S29[v, u, w])/1536 - (73*S29[v, w, u])/1536 + 
     (77*S29[w, u, v])/1536 + S29[w, v, u]/384 + (13*S3[u, v, w])/256 - 
     (11*S3[u, w, v])/512 + (37*S3[v, u, w])/512 - (37*S3[v, w, u])/512 + 
     (11*S3[w, u, v])/512 - (13*S3[w, v, u])/256 - (215*S30[u, v, w])/6144 + 
     (221*S30[u, w, v])/6144 - (109*S30[v, u, w])/1536 + 
     (109*S30[v, w, u])/1536 - (221*S30[w, u, v])/6144 + 
     (215*S30[w, v, u])/6144 - (5*S31[u, v, w])/768 - 
     (493*S31[u, w, v])/1536 + (161*S31[v, u, w])/512 - 
     (161*S31[v, w, u])/512 + (493*S31[w, u, v])/1536 + 
     (5*S31[w, v, u])/768 - (17*S32[u, v, w])/384 - S32[u, w, v]/24 - 
     S32[v, u, w]/384 + S32[v, w, u]/384 + S32[w, u, v]/24 + 
     (17*S32[w, v, u])/384 + (17*S33[u, v, w])/1536 + 
     (13*S33[u, w, v])/1536 + S33[v, u, w]/384 - S33[v, w, u]/384 - 
     (13*S33[w, u, v])/1536 - (17*S33[w, v, u])/1536 + 
     (351*S34[u, v, w])/1024 - (31*S34[u, w, v])/512 + 
     (413*S34[v, u, w])/1024 - (413*S34[v, w, u])/1024 + 
     (31*S34[w, u, v])/512 - (351*S34[w, v, u])/1024 + 
     (21*S35[u, v, w])/512 - (21*S35[w, u, v])/512 + (21*S36[u, v, w])/512 - 
     (21*S36[w, u, v])/512 - (833*S38[u, v, w])/1536 + 
     (833*S38[w, u, v])/1536 + (19*S39[u, v, w])/256 - 
     (19*S39[w, u, v])/256 - (5*S4[u, v, w])/384 + (83*S4[u, w, v])/1536 - 
     (103*S4[v, u, w])/1536 + (103*S4[v, w, u])/1536 - 
     (83*S4[w, u, v])/1536 + (5*S4[w, v, u])/384 + (15*S40[u, v, w])/128 - 
     (15*S40[w, u, v])/128 + (89*S41[u, v, w])/384 - (89*S41[w, u, v])/384 + 
     (2843*S42[u, v, w])/3072 - (2843*S42[w, u, v])/3072 - 
     (3*S43[u, v, w])/128 + (3*S43[w, u, v])/128 + (47*S45[u, v, w])/384 - 
     (47*S45[w, u, v])/384 - (51*S46[u, v, w])/1024 + 
     (51*S46[w, u, v])/1024 - (41*S47[u, v, w])/256 + (41*S47[w, u, v])/256 + 
     (305*S48[u, v, w])/1536 - (305*S48[w, u, v])/1536 + 
     (25*S49[u, v, w])/384 - (25*S49[w, u, v])/384 - (83*S5[u, v, w])/1536 - 
     (139*S5[u, w, v])/1536 + (7*S5[v, u, w])/192 - (7*S5[v, w, u])/192 + 
     (139*S5[w, u, v])/1536 + (83*S5[w, v, u])/1536 - 
     (141*S50[u, v, w])/512 + (141*S50[w, u, v])/512 + 
     (221*S52[u, v, w])/768 - (221*S52[w, u, v])/768 - 
     (77*S53[u, v, w])/512 + (77*S53[w, u, v])/512 + (9*S54[u, v, w])/1024 - 
     (9*S54[w, u, v])/1024 + (13*S55[u, v, w])/512 - (13*S55[w, u, v])/512 + 
     (19*S57[u, v, w])/512 - (19*S57[w, u, v])/512 + (13*S58[u, v, w])/512 - 
     (13*S58[w, u, v])/512 - (61*S6[u, v, w])/192 - (349*S6[u, w, v])/1536 - 
     (139*S6[v, u, w])/1536 + (139*S6[v, w, u])/1536 + 
     (349*S6[w, u, v])/1536 + (61*S6[w, v, u])/192 - 
     (771*S62[u, v, w])/1024 + (771*S62[w, u, v])/1024 + 
     (59*S63[u, v, w])/1024 - (59*S63[w, u, v])/1024 - 
     (255*S64[u, v, w])/256 + (255*S64[w, u, v])/256 + 
     (14490793*S65[u, v, w])/135168 - (14490793*S65[w, u, v])/135168 + 
     (27*S66[u, v, w])/1024 - (27*S66[w, u, v])/1024 - 
     (28051*S67[u, v, w])/2048 + (28051*S67[w, u, v])/2048 + 
     (2227*S68[u, v, w])/3072 - (2227*S68[w, u, v])/3072 + 
     (5*S69[u, v, w])/768 - (5*S69[w, u, v])/768 + (11*S7[u, v, w])/768 - 
     S7[u, w, v]/384 + (13*S7[v, u, w])/768 - (13*S7[v, w, u])/768 + 
     S7[w, u, v]/384 - (11*S7[w, v, u])/768 + (677*S70[u, v, w])/1536 - 
     (677*S70[w, u, v])/1536 + (1484251*S71[u, v, w])/135168 - 
     (1484251*S71[w, u, v])/135168 + (401*S72[u, v, w])/2048 - 
     (401*S72[w, u, v])/2048 + (219*S73[u, v, w])/4096 - 
     (219*S73[w, u, v])/4096 - (34985*S75[u, v, w])/6144 + 
     (34985*S75[w, u, v])/6144 - (101*S76[u, v, w])/384 + 
     (101*S76[w, u, v])/384 + (31*S77[u, v, w])/1536 - 
     (31*S77[w, u, v])/1536 - (28471*S78[u, v, w])/12288 + 
     (28471*S78[w, u, v])/12288 + (253*S79[u, v, w])/1024 - 
     (253*S79[w, u, v])/1024 - (31*S8[u, v, w])/768 + (25*S8[u, w, v])/768 - 
     (7*S8[v, u, w])/96 + (7*S8[v, w, u])/96 - (25*S8[w, u, v])/768 + 
     (31*S8[w, v, u])/768 + (355*S80[u, v, w])/1024 - 
     (355*S80[w, u, v])/1024 - (10377*S81[u, v, w])/128 + 
     (10377*S81[w, u, v])/128 + S9[u, v, w]/64 + (5*S9[u, w, v])/64 - 
     S9[v, u, w]/16 + S9[v, w, u]/16 - (5*S9[w, u, v])/64 - S9[w, v, u]/64 - 
     (5*A1[u, v, w]*\[Zeta][2])/16 - (1351*A1[u, w, v]*\[Zeta][2])/256 + 
     (1271*A1[v, u, w]*\[Zeta][2])/256 - (1271*A1[v, w, u]*\[Zeta][2])/256 + 
     (1351*A1[w, u, v]*\[Zeta][2])/256 + (5*A1[w, v, u]*\[Zeta][2])/16 - 
     (10463*A10[u, v, w]*\[Zeta][2])/128 + (10463*A10[w, u, v]*\[Zeta][2])/
      128 + (61*A2[u, v, w]*\[Zeta][2])/512 - (171*A2[u, w, v]*\[Zeta][2])/
      32 + (2797*A2[v, u, w]*\[Zeta][2])/512 - (2797*A2[v, w, u]*\[Zeta][2])/
      512 + (171*A2[w, u, v]*\[Zeta][2])/32 - (61*A2[w, v, u]*\[Zeta][2])/
      512 + (1431*A3[u, v, w]*\[Zeta][2])/256 - (1431*A3[w, u, v]*\[Zeta][2])/
      256 + (2675*A4[u, v, w]*\[Zeta][2])/512 - (2675*A4[w, u, v]*\[Zeta][2])/
      512 - (2136059*A5[u, v, w]*\[Zeta][2])/33792 + 
     (2136059*A5[w, u, v]*\[Zeta][2])/33792 + (147131*A6[u, v, w]*\[Zeta][2])/
      18432 - (147131*A6[w, u, v]*\[Zeta][2])/18432 + 
     (8085163*A7[u, v, w]*\[Zeta][2])/36864 - 
     (8085163*A7[w, u, v]*\[Zeta][2])/36864 - 
     (1705*G[u, v, w]*HPL[{1}, 1 - u]*\[Zeta][2])/256 - 
     (4765*H1[u, v, w]*HPL[{1}, 1 - u]*\[Zeta][2])/1536 - 
     (4163*H1[v, w, u]*HPL[{1}, 1 - u]*\[Zeta][2])/1536 - 
     (1179*H1[w, u, v]*HPL[{1}, 1 - u]*\[Zeta][2])/512 + 
     (2547119*F1[u, v, w]*HPL[{1}, 1 - u]^2*\[Zeta][2])/24576 + 
     (80889647*F1[v, w, u]*HPL[{1}, 1 - u]^2*\[Zeta][2])/811008 + 
     (18786385*F1[w, u, v]*HPL[{1}, 1 - u]^2*\[Zeta][2])/202752 + 
     (301*H1[v, w, u]*HPL[{1}, 1 - v]*\[Zeta][2])/768 - 
     (301*H1[w, u, v]*HPL[{1}, 1 - v]*\[Zeta][2])/768 + 
     (1267748227*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][2])/
      2433024 - (2586374233*F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       \[Zeta][2])/2433024 - (11525567*F1[w, u, v]*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*\[Zeta][2])/45056 + 
     (5744107*F1[u, v, w]*HPL[{1}, 1 - v]^2*\[Zeta][2])/811008 - 
     (5744107*F1[w, u, v]*HPL[{1}, 1 - v]^2*\[Zeta][2])/811008 + 
     (1705*G[u, v, w]*HPL[{1}, 1 - w]*\[Zeta][2])/256 + 
     (4765*H1[u, v, w]*HPL[{1}, 1 - w]*\[Zeta][2])/1536 + 
     (1179*H1[v, w, u]*HPL[{1}, 1 - w]*\[Zeta][2])/512 + 
     (4163*H1[w, u, v]*HPL[{1}, 1 - w]*\[Zeta][2])/1536 + 
     (963530615*F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*\[Zeta][2])/
      608256 - (963530615*F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       \[Zeta][2])/608256 + (11525567*F1[u, v, w]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*\[Zeta][2])/45056 + 
     (2586374233*F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2])/
      2433024 - (1267748227*F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       \[Zeta][2])/2433024 - (18786385*F1[u, v, w]*HPL[{1}, 1 - w]^2*
       \[Zeta][2])/202752 - (80889647*F1[v, w, u]*HPL[{1}, 1 - w]^2*
       \[Zeta][2])/811008 - (2547119*F1[w, u, v]*HPL[{1}, 1 - w]^2*
       \[Zeta][2])/24576 + (2544383*F1[u, v, w]*HPL[{0, 1}, 1 - u]*
       \[Zeta][2])/12288 + (34984729*F1[v, w, u]*HPL[{0, 1}, 1 - u]*
       \[Zeta][2])/405504 + (1542293*F1[w, u, v]*HPL[{0, 1}, 1 - u]*
       \[Zeta][2])/12672 - (4789549*F1[u, v, w]*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/135168 + (4789549*F1[w, u, v]*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/135168 - (1542293*F1[u, v, w]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/12672 - (34984729*F1[v, w, u]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/405504 - (2544383*F1[w, u, v]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/12288 + (1311*HPL[{1}, 1 - u]*J1[u, v, w]*\[Zeta][2])/
      2048 - (1311*HPL[{1}, 1 - w]*J1[u, v, w]*\[Zeta][2])/2048 + 
     (1257*HPL[{1}, 1 - u]*J1[v, w, u]*\[Zeta][2])/2048 - 
     (27*HPL[{1}, 1 - v]*J1[v, w, u]*\[Zeta][2])/1024 - 
     (1179*HPL[{1}, 1 - w]*J1[v, w, u]*\[Zeta][2])/2048 + 
     (1179*HPL[{1}, 1 - u]*J1[w, u, v]*\[Zeta][2])/2048 + 
     (27*HPL[{1}, 1 - v]*J1[w, u, v]*\[Zeta][2])/1024 - 
     (1257*HPL[{1}, 1 - w]*J1[w, u, v]*\[Zeta][2])/2048 - 
     (69*HPL[{1}, 1 - u]*K1[u, v, w]*\[Zeta][2])/256 + 
     (69*HPL[{1}, 1 - w]*K1[u, v, w]*\[Zeta][2])/256 - 
     (27*HPL[{1}, 1 - u]*K1[v, w, u]*\[Zeta][2])/128 + 
     (15*HPL[{1}, 1 - v]*K1[v, w, u]*\[Zeta][2])/256 + 
     (21*HPL[{1}, 1 - w]*K1[v, w, u]*\[Zeta][2])/256 - 
     (21*HPL[{1}, 1 - u]*K1[w, u, v]*\[Zeta][2])/256 - 
     (15*HPL[{1}, 1 - v]*K1[w, u, v]*\[Zeta][2])/256 + 
     (27*HPL[{1}, 1 - w]*K1[w, u, v]*\[Zeta][2])/128 + 
     (2537519*HPL[{1}, 1 - u]^3*Phi6[u, v, w]*\[Zeta][2])/49152 + 
     (77040559*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Phi6[u, v, w]*\[Zeta][2])/
      811008 - (39477715*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Phi6[u, v, w]*
       \[Zeta][2])/202752 + (234951419*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
       Phi6[u, v, w]*\[Zeta][2])/811008 + 
     (39477715*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Phi6[u, v, w]*\[Zeta][2])/
      202752 - (234951419*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
       \[Zeta][2])/811008 - (77040559*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       Phi6[u, v, w]*\[Zeta][2])/811008 - 
     (2537519*HPL[{1}, 1 - w]^3*Phi6[u, v, w]*\[Zeta][2])/49152 + 
     (300293753*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*\[Zeta][2])/
      540672 - (2160201979*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
       \[Zeta][2])/2433024 - (180834977*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       Phi6[u, v, w]*\[Zeta][2])/110592 + 
     (1560236299*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*\[Zeta][2])/
      2433024 - (1560236299*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]*
       \[Zeta][2])/2433024 + (180834977*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       Phi6[u, v, w]*\[Zeta][2])/110592 + 
     (2160201979*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*\[Zeta][2])/
      2433024 - (300293753*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
       \[Zeta][2])/540672 - (518142187*HPL[{0, 0, 1}, 1 - u]*Phi6[u, v, w]*
       \[Zeta][2])/540672 + (518142187*HPL[{0, 0, 1}, 1 - w]*Phi6[u, v, w]*
       \[Zeta][2])/540672 - (68132221*HPL[{0, 1, 1}, 1 - u]*Phi6[u, v, w]*
       \[Zeta][2])/67584 + (68132221*HPL[{0, 1, 1}, 1 - w]*Phi6[u, v, w]*
       \[Zeta][2])/67584 - (11826181*F1[u, v, w]*\[Zeta][2]^2)/56320 + 
     (11826181*F1[w, u, v]*\[Zeta][2]^2)/56320 - 
     (506535*HPL[{1}, 1 - u]*Phi6[u, v, w]*\[Zeta][2]^2)/1024 + 
     (506535*HPL[{1}, 1 - w]*Phi6[u, v, w]*\[Zeta][2]^2)/1024 + 
     (16301903*H1[v, w, u]*\[Zeta][3])/11264 - 
     (16301903*H1[w, u, v]*\[Zeta][3])/11264 - 
     (62157221*F1[u, v, w]*HPL[{1}, 1 - u]*\[Zeta][3])/67584 - 
     (5003*F1[v, w, u]*HPL[{1}, 1 - u]*\[Zeta][3])/768 + 
     (F1[w, u, v]*HPL[{1}, 1 - u]*\[Zeta][3])/192 - 
     (1669*F1[u, v, w]*HPL[{1}, 1 - v]*\[Zeta][3])/256 + 
     (1669*F1[w, u, v]*HPL[{1}, 1 - v]*\[Zeta][3])/256 - 
     (F1[u, v, w]*HPL[{1}, 1 - w]*\[Zeta][3])/192 + 
     (5003*F1[v, w, u]*HPL[{1}, 1 - w]*\[Zeta][3])/768 + 
     (62157221*F1[w, u, v]*HPL[{1}, 1 - w]*\[Zeta][3])/67584 + 
     (75419821*J1[v, w, u]*\[Zeta][3])/135168 - 
     (75419821*J1[w, u, v]*\[Zeta][3])/135168 + 
     (20865711*K1[v, w, u]*\[Zeta][3])/22528 - 
     (20865711*K1[w, u, v]*\[Zeta][3])/22528 + 
     (8611439*HPL[{1}, 1 - u]^2*Phi6[u, v, w]*\[Zeta][3])/67584 - 
     (9796577*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Phi6[u, v, w]*\[Zeta][3])/
      16896 + (9796577*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Phi6[u, v, w]*
       \[Zeta][3])/16896 - (8611439*HPL[{1}, 1 - w]^2*Phi6[u, v, w]*
       \[Zeta][3])/67584 + (45494387*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]*
       \[Zeta][3])/67584 - (45494387*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]*
       \[Zeta][3])/67584
 
Et3 = -A1[u, v, w]/96 - A1[u, w, v]/12 + (7*A1[v, u, w])/96 - 
     (7*A1[v, w, u])/96 + A1[w, u, v]/12 + A1[w, v, u]/96 - 
     (15*A10[u, v, w])/16 + (15*A10[w, u, v])/16 + A2[u, v, w]/48 - 
     (5*A2[u, w, v])/96 + (7*A2[v, u, w])/96 - (7*A2[v, w, u])/96 + 
     (5*A2[w, u, v])/96 - A2[w, v, u]/48 + (3*A3[u, v, w])/32 - 
     (3*A3[w, u, v])/32 + A4[u, v, w]/32 - A4[w, u, v]/32 - 
     (3*A6[u, v, w])/32 + (3*A6[w, u, v])/32 + (3*A7[u, v, w])/32 - 
     (3*A7[w, u, v])/32 + (H1[u, v, w]*HPL[{1}, 1 - u])/96 - 
     (H1[v, w, u]*HPL[{1}, 1 - u])/96 - (H1[w, u, v]*HPL[{1}, 1 - u])/32 - 
     (3*F1[u, v, w]*HPL[{1}, 1 - u]^2)/64 + (F1[v, w, u]*HPL[{1}, 1 - u]^2)/
      64 + (F1[w, u, v]*HPL[{1}, 1 - u]^2)/32 - (H1[v, w, u]*HPL[{1}, 1 - v])/
      48 + (H1[w, u, v]*HPL[{1}, 1 - v])/48 + 
     (F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/32 - 
     (F1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/32 - 
     (F1[u, v, w]*HPL[{1}, 1 - v]^2)/64 + (F1[w, u, v]*HPL[{1}, 1 - v]^2)/
      64 - (H1[u, v, w]*HPL[{1}, 1 - w])/96 + (H1[v, w, u]*HPL[{1}, 1 - w])/
      32 + (H1[w, u, v]*HPL[{1}, 1 - w])/96 + 
     (F1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/16 - 
     (F1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/16 + 
     (F1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/32 - 
     (F1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/32 - 
     (F1[u, v, w]*HPL[{1}, 1 - w]^2)/32 - (F1[v, w, u]*HPL[{1}, 1 - w]^2)/
      64 + (3*F1[w, u, v]*HPL[{1}, 1 - w]^2)/64 + 
     (23*HPL[{1}, 1 - u]*J1[u, v, w])/384 - (23*HPL[{1}, 1 - w]*J1[u, v, w])/
      384 + (13*HPL[{1}, 1 - u]*J1[v, w, u])/384 - 
     (5*HPL[{1}, 1 - v]*J1[v, w, u])/192 - (HPL[{1}, 1 - w]*J1[v, w, u])/
      128 + (HPL[{1}, 1 - u]*J1[w, u, v])/128 + 
     (5*HPL[{1}, 1 - v]*J1[w, u, v])/192 - (13*HPL[{1}, 1 - w]*J1[w, u, v])/
      384 - (HPL[{1}, 1 - u]^3*Phi6[u, v, w])/32 + 
     (HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Phi6[u, v, w])/32 - 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Phi6[u, v, w])/32 + 
     (HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Phi6[u, v, w])/16 + 
     (HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Phi6[u, v, w])/32 - 
     (HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Phi6[u, v, w])/16 - 
     (HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Phi6[u, v, w])/32 + 
     (HPL[{1}, 1 - w]^3*Phi6[u, v, w])/32 + (3*F1[u, v, w]*\[Zeta][2])/16 - 
     (3*F1[w, u, v]*\[Zeta][2])/16 + (13*HPL[{1}, 1 - u]*Phi6[u, v, w]*
       \[Zeta][2])/16 - (13*HPL[{1}, 1 - w]*Phi6[u, v, w]*\[Zeta][2])/16
 
Et2 = -F1[u, v, w]/8 + F1[w, u, v]/8 - (HPL[{1}, 1 - u]*Phi6[u, v, w])/8 + 
     (HPL[{1}, 1 - w]*Phi6[u, v, w])/8
 
Et1 = 0

R64 = (-14457*F1[u, v, w]^2)/2048 - (901*F1[u, v, w]*F1[v, w, u])/96 - 
     (14457*F1[v, w, u]^2)/2048 - (901*F1[u, v, w]*F1[w, u, v])/96 - 
     (901*F1[v, w, u]*F1[w, u, v])/96 - (14457*F1[w, u, v]^2)/2048 + 
     (3*D1[u, v, w]*HPL[{1}, 1 - u])/128 + (3*D1[u, w, v]*HPL[{1}, 1 - u])/
      128 - (3*D1[v, u, w]*HPL[{1}, 1 - u])/64 + 
     (3*D1[v, w, u]*HPL[{1}, 1 - u])/128 - (3*D1[w, u, v]*HPL[{1}, 1 - u])/
      64 + (3*D1[w, v, u]*HPL[{1}, 1 - u])/128 + 
     (3*D10[u, v, w]*HPL[{1}, 1 - u])/256 + (3*D10[u, w, v]*HPL[{1}, 1 - u])/
      256 + (5*D10[v, u, w]*HPL[{1}, 1 - u])/256 - 
     (D10[v, w, u]*HPL[{1}, 1 - u])/32 + (5*D10[w, u, v]*HPL[{1}, 1 - u])/
      256 - (D10[w, v, u]*HPL[{1}, 1 - u])/32 + 
     (5*D11[u, v, w]*HPL[{1}, 1 - u])/256 + (5*D11[u, w, v]*HPL[{1}, 1 - u])/
      256 - (5*D11[v, u, w]*HPL[{1}, 1 - u])/128 + 
     (5*D11[v, w, u]*HPL[{1}, 1 - u])/256 - (5*D11[w, u, v]*HPL[{1}, 1 - u])/
      128 + (5*D11[w, v, u]*HPL[{1}, 1 - u])/256 + 
     (D12[u, v, w]*HPL[{1}, 1 - u])/256 + (D12[u, w, v]*HPL[{1}, 1 - u])/
      256 + (D12[v, w, u]*HPL[{1}, 1 - u])/256 + 
     (D12[w, v, u]*HPL[{1}, 1 - u])/256 - (D13[u, v, w]*HPL[{1}, 1 - u])/
      128 - (D13[v, w, u]*HPL[{1}, 1 - u])/256 - 
     (D13[w, u, v]*HPL[{1}, 1 - u])/256 + (D14[v, w, u]*HPL[{1}, 1 - u])/
      256 + (D14[w, u, v]*HPL[{1}, 1 - u])/256 - 
     (3*D15[u, v, w]*HPL[{1}, 1 - u])/64 + (3*D15[v, w, u]*HPL[{1}, 1 - u])/
      128 + (3*D15[w, u, v]*HPL[{1}, 1 - u])/128 - 
     (D16[u, v, w]*HPL[{1}, 1 - u])/32 + (D16[v, w, u]*HPL[{1}, 1 - u])/64 + 
     (D16[w, u, v]*HPL[{1}, 1 - u])/64 - (D17[u, v, w]*HPL[{1}, 1 - u])/64 - 
     (D17[v, w, u]*HPL[{1}, 1 - u])/64 - (D17[w, u, v]*HPL[{1}, 1 - u])/64 - 
     (D18[u, v, w]*HPL[{1}, 1 - u])/64 - (D18[v, w, u]*HPL[{1}, 1 - u])/64 - 
     (D18[w, u, v]*HPL[{1}, 1 - u])/64 - (3*D19[u, v, w]*HPL[{1}, 1 - u])/
      64 + (3*D19[v, w, u]*HPL[{1}, 1 - u])/128 + 
     (3*D19[w, u, v]*HPL[{1}, 1 - u])/128 - (D2[u, v, w]*HPL[{1}, 1 - u])/
      256 - (D2[u, w, v]*HPL[{1}, 1 - u])/256 - (D2[v, w, u]*HPL[{1}, 1 - u])/
      256 - (D2[w, v, u]*HPL[{1}, 1 - u])/256 + 
     (D20[v, w, u]*HPL[{1}, 1 - u])/256 + (D20[w, u, v]*HPL[{1}, 1 - u])/
      256 + (5*D21[u, v, w]*HPL[{1}, 1 - u])/128 - 
     (7*D21[v, w, u]*HPL[{1}, 1 - u])/256 - (7*D21[w, u, v]*HPL[{1}, 1 - u])/
      256 + (D22[u, v, w]*HPL[{1}, 1 - u])/128 - 
     (D22[v, w, u]*HPL[{1}, 1 - u])/256 - (D22[w, u, v]*HPL[{1}, 1 - u])/
      256 + (D23[v, w, u]*HPL[{1}, 1 - u])/128 + 
     (D23[w, u, v]*HPL[{1}, 1 - u])/128 - (D24[u, v, w]*HPL[{1}, 1 - u])/
      128 + (D24[v, w, u]*HPL[{1}, 1 - u])/256 + 
     (D24[w, u, v]*HPL[{1}, 1 - u])/256 - (15*D25[u, v, w]*HPL[{1}, 1 - u])/
      64 - (15*D25[u, w, v]*HPL[{1}, 1 - u])/64 + 
     (9*D25[v, u, w]*HPL[{1}, 1 - u])/16 - (21*D25[v, w, u]*HPL[{1}, 1 - u])/
      64 + (9*D25[w, u, v]*HPL[{1}, 1 - u])/16 - 
     (21*D25[w, v, u]*HPL[{1}, 1 - u])/64 - (D26[u, v, w]*HPL[{1}, 1 - u])/
      256 - (D26[u, w, v]*HPL[{1}, 1 - u])/256 + 
     (D26[v, w, u]*HPL[{1}, 1 - u])/256 + (D26[w, v, u]*HPL[{1}, 1 - u])/
      256 + (9*D27[u, v, w]*HPL[{1}, 1 - u])/128 + 
     (9*D27[u, w, v]*HPL[{1}, 1 - u])/128 - (27*D27[v, u, w]*HPL[{1}, 1 - u])/
      256 - (3*D27[v, w, u]*HPL[{1}, 1 - u])/256 - 
     (27*D27[w, u, v]*HPL[{1}, 1 - u])/256 - (3*D27[w, v, u]*HPL[{1}, 1 - u])/
      256 + (21*D29[u, v, w]*HPL[{1}, 1 - u])/32 - 
     (21*D29[v, w, u]*HPL[{1}, 1 - u])/64 - (21*D29[w, u, v]*HPL[{1}, 1 - u])/
      64 + (5*D3[u, v, w]*HPL[{1}, 1 - u])/256 + 
     (5*D3[u, w, v]*HPL[{1}, 1 - u])/256 + (3*D3[v, u, w]*HPL[{1}, 1 - u])/
      256 - (D3[v, w, u]*HPL[{1}, 1 - u])/32 + 
     (3*D3[w, u, v]*HPL[{1}, 1 - u])/256 - (D3[w, v, u]*HPL[{1}, 1 - u])/32 - 
     (79*D30[u, v, w]*HPL[{1}, 1 - u])/512 + 
     (177*D30[v, w, u]*HPL[{1}, 1 - u])/1024 + 
     (177*D30[w, u, v]*HPL[{1}, 1 - u])/1024 - 
     (7*D31[u, v, w]*HPL[{1}, 1 - u])/128 + (7*D31[v, w, u]*HPL[{1}, 1 - u])/
      256 + (7*D31[w, u, v]*HPL[{1}, 1 - u])/256 + 
     (D32[u, v, w]*HPL[{1}, 1 - u])/8 - (3*D32[v, w, u]*HPL[{1}, 1 - u])/64 - 
     (3*D32[w, u, v]*HPL[{1}, 1 - u])/64 - (7*D34[u, v, w]*HPL[{1}, 1 - u])/
      256 + (11*D34[v, w, u]*HPL[{1}, 1 - u])/512 + 
     (11*D34[w, u, v]*HPL[{1}, 1 - u])/512 + (5*D4[u, v, w]*HPL[{1}, 1 - u])/
      256 + (5*D4[u, w, v]*HPL[{1}, 1 - u])/256 + 
     (3*D4[v, u, w]*HPL[{1}, 1 - u])/256 - (D4[v, w, u]*HPL[{1}, 1 - u])/32 + 
     (3*D4[w, u, v]*HPL[{1}, 1 - u])/256 - (D4[w, v, u]*HPL[{1}, 1 - u])/32 - 
     (D5[u, v, w]*HPL[{1}, 1 - u])/32 - (D5[u, w, v]*HPL[{1}, 1 - u])/32 + 
     (3*D5[v, u, w]*HPL[{1}, 1 - u])/256 + (5*D5[v, w, u]*HPL[{1}, 1 - u])/
      256 + (3*D5[w, u, v]*HPL[{1}, 1 - u])/256 + 
     (5*D5[w, v, u]*HPL[{1}, 1 - u])/256 + (3*D6[u, v, w]*HPL[{1}, 1 - u])/
      128 + (3*D6[u, w, v]*HPL[{1}, 1 - u])/128 + 
     (3*D6[v, u, w]*HPL[{1}, 1 - u])/128 - (3*D6[v, w, u]*HPL[{1}, 1 - u])/
      64 + (3*D6[w, u, v]*HPL[{1}, 1 - u])/128 - 
     (3*D6[w, v, u]*HPL[{1}, 1 - u])/64 + (5*D7[u, v, w]*HPL[{1}, 1 - u])/
      256 + (5*D7[u, w, v]*HPL[{1}, 1 - u])/256 + 
     (5*D7[v, u, w]*HPL[{1}, 1 - u])/256 - (5*D7[v, w, u]*HPL[{1}, 1 - u])/
      128 + (5*D7[w, u, v]*HPL[{1}, 1 - u])/256 - 
     (5*D7[w, v, u]*HPL[{1}, 1 - u])/128 - (7*D8[u, v, w]*HPL[{1}, 1 - u])/
      256 - (7*D8[u, w, v]*HPL[{1}, 1 - u])/256 - 
     (7*D8[v, u, w]*HPL[{1}, 1 - u])/256 + (5*D8[v, w, u]*HPL[{1}, 1 - u])/
      128 - (7*D8[w, u, v]*HPL[{1}, 1 - u])/256 + 
     (5*D8[w, v, u]*HPL[{1}, 1 - u])/128 - (D9[u, v, w]*HPL[{1}, 1 - u])/32 - 
     (D9[u, w, v]*HPL[{1}, 1 - u])/32 + (D9[v, u, w]*HPL[{1}, 1 - u])/64 + 
     (D9[v, w, u]*HPL[{1}, 1 - u])/64 + (D9[w, u, v]*HPL[{1}, 1 - u])/64 + 
     (D9[w, v, u]*HPL[{1}, 1 - u])/64 + (15*B1[u, v, w]*HPL[{1}, 1 - u]^2)/
      512 + (15*B1[u, w, v]*HPL[{1}, 1 - u]^2)/512 + 
     (9*B1[v, u, w]*HPL[{1}, 1 - u]^2)/256 + 
     (17*B1[v, w, u]*HPL[{1}, 1 - u]^2)/512 + 
     (9*B1[w, u, v]*HPL[{1}, 1 - u]^2)/256 + 
     (17*B1[w, v, u]*HPL[{1}, 1 - u]^2)/512 + 
     (5*B10[u, v, w]*HPL[{1}, 1 - u]^2)/256 + 
     (5*B10[v, w, u]*HPL[{1}, 1 - u]^2)/512 + 
     (5*B10[w, u, v]*HPL[{1}, 1 - u]^2)/512 - 
     (3*B11[u, v, w]*HPL[{1}, 1 - u]^2)/64 - 
     (13*B11[v, w, u]*HPL[{1}, 1 - u]^2)/256 - 
     (13*B11[w, u, v]*HPL[{1}, 1 - u]^2)/256 + 
     (17*B2[u, v, w]*HPL[{1}, 1 - u]^2)/512 + 
     (17*B2[u, w, v]*HPL[{1}, 1 - u]^2)/512 + (B2[v, u, w]*HPL[{1}, 1 - u]^2)/
      32 + (19*B2[v, w, u]*HPL[{1}, 1 - u]^2)/512 + 
     (B2[w, u, v]*HPL[{1}, 1 - u]^2)/32 + (19*B2[w, v, u]*HPL[{1}, 1 - u]^2)/
      512 + (5*B3[u, v, w]*HPL[{1}, 1 - u]^2)/128 + 
     (11*B3[v, w, u]*HPL[{1}, 1 - u]^2)/256 + 
     (11*B3[w, u, v]*HPL[{1}, 1 - u]^2)/256 + 
     (7*B4[u, v, w]*HPL[{1}, 1 - u]^2)/256 + 
     (7*B4[v, w, u]*HPL[{1}, 1 - u]^2)/256 + 
     (7*B4[w, u, v]*HPL[{1}, 1 - u]^2)/256 - 
     (5*B5[u, v, w]*HPL[{1}, 1 - u]^2)/512 - 
     (5*B5[u, w, v]*HPL[{1}, 1 - u]^2)/512 - (B5[v, u, w]*HPL[{1}, 1 - u]^2)/
      128 - (B5[v, w, u]*HPL[{1}, 1 - u]^2)/512 - 
     (B5[w, u, v]*HPL[{1}, 1 - u]^2)/128 - (B5[w, v, u]*HPL[{1}, 1 - u]^2)/
      512 - (5*B6[u, v, w]*HPL[{1}, 1 - u]^2)/512 - 
     (5*B6[u, w, v]*HPL[{1}, 1 - u]^2)/512 - 
     (5*B6[v, u, w]*HPL[{1}, 1 - u]^2)/512 - 
     (5*B6[w, u, v]*HPL[{1}, 1 - u]^2)/512 + 
     (3*B7[u, v, w]*HPL[{1}, 1 - u]^2)/128 + 
     (7*B7[v, w, u]*HPL[{1}, 1 - u]^2)/256 + 
     (7*B7[w, u, v]*HPL[{1}, 1 - u]^2)/256 - (B8[u, v, w]*HPL[{1}, 1 - u]^2)/
      256 - (69*B9[u, v, w]*HPL[{1}, 1 - u]^2)/128 - 
     (75*B9[v, w, u]*HPL[{1}, 1 - u]^2)/128 - 
     (75*B9[w, u, v]*HPL[{1}, 1 - u]^2)/128 - (3*D1[u, v, w]*HPL[{1}, 1 - v])/
      64 + (3*D1[u, w, v]*HPL[{1}, 1 - v])/128 + 
     (3*D1[v, u, w]*HPL[{1}, 1 - v])/128 + (3*D1[v, w, u]*HPL[{1}, 1 - v])/
      128 + (3*D1[w, u, v]*HPL[{1}, 1 - v])/128 - 
     (3*D1[w, v, u]*HPL[{1}, 1 - v])/64 + (5*D10[u, v, w]*HPL[{1}, 1 - v])/
      256 - (D10[u, w, v]*HPL[{1}, 1 - v])/32 + 
     (3*D10[v, u, w]*HPL[{1}, 1 - v])/256 + (3*D10[v, w, u]*HPL[{1}, 1 - v])/
      256 - (D10[w, u, v]*HPL[{1}, 1 - v])/32 + 
     (5*D10[w, v, u]*HPL[{1}, 1 - v])/256 - (5*D11[u, v, w]*HPL[{1}, 1 - v])/
      128 + (5*D11[u, w, v]*HPL[{1}, 1 - v])/256 + 
     (5*D11[v, u, w]*HPL[{1}, 1 - v])/256 + (5*D11[v, w, u]*HPL[{1}, 1 - v])/
      256 + (5*D11[w, u, v]*HPL[{1}, 1 - v])/256 - 
     (5*D11[w, v, u]*HPL[{1}, 1 - v])/128 + (D12[u, w, v]*HPL[{1}, 1 - v])/
      256 + (D12[v, u, w]*HPL[{1}, 1 - v])/256 + 
     (D12[v, w, u]*HPL[{1}, 1 - v])/256 + (D12[w, u, v]*HPL[{1}, 1 - v])/
      256 - (D13[u, v, w]*HPL[{1}, 1 - v])/256 - 
     (D13[v, w, u]*HPL[{1}, 1 - v])/128 - (D13[w, u, v]*HPL[{1}, 1 - v])/
      256 + (D14[u, v, w]*HPL[{1}, 1 - v])/256 + 
     (D14[w, u, v]*HPL[{1}, 1 - v])/256 + (3*D15[u, v, w]*HPL[{1}, 1 - v])/
      128 - (3*D15[v, w, u]*HPL[{1}, 1 - v])/64 + 
     (3*D15[w, u, v]*HPL[{1}, 1 - v])/128 + (D16[u, v, w]*HPL[{1}, 1 - v])/
      64 - (D16[v, w, u]*HPL[{1}, 1 - v])/32 + (D16[w, u, v]*HPL[{1}, 1 - v])/
      64 - (D17[u, v, w]*HPL[{1}, 1 - v])/64 - (D17[v, w, u]*HPL[{1}, 1 - v])/
      64 - (D17[w, u, v]*HPL[{1}, 1 - v])/64 - (D18[u, v, w]*HPL[{1}, 1 - v])/
      64 - (D18[v, w, u]*HPL[{1}, 1 - v])/64 - (D18[w, u, v]*HPL[{1}, 1 - v])/
      64 + (3*D19[u, v, w]*HPL[{1}, 1 - v])/128 - 
     (3*D19[v, w, u]*HPL[{1}, 1 - v])/64 + (3*D19[w, u, v]*HPL[{1}, 1 - v])/
      128 - (D2[u, w, v]*HPL[{1}, 1 - v])/256 - (D2[v, u, w]*HPL[{1}, 1 - v])/
      256 - (D2[v, w, u]*HPL[{1}, 1 - v])/256 - (D2[w, u, v]*HPL[{1}, 1 - v])/
      256 + (D20[u, v, w]*HPL[{1}, 1 - v])/256 + 
     (D20[w, u, v]*HPL[{1}, 1 - v])/256 - (7*D21[u, v, w]*HPL[{1}, 1 - v])/
      256 + (5*D21[v, w, u]*HPL[{1}, 1 - v])/128 - 
     (7*D21[w, u, v]*HPL[{1}, 1 - v])/256 - (D22[u, v, w]*HPL[{1}, 1 - v])/
      256 + (D22[v, w, u]*HPL[{1}, 1 - v])/128 - 
     (D22[w, u, v]*HPL[{1}, 1 - v])/256 + (D23[u, v, w]*HPL[{1}, 1 - v])/
      128 + (D23[w, u, v]*HPL[{1}, 1 - v])/128 + 
     (D24[u, v, w]*HPL[{1}, 1 - v])/256 - (D24[v, w, u]*HPL[{1}, 1 - v])/
      128 + (D24[w, u, v]*HPL[{1}, 1 - v])/256 + 
     (9*D25[u, v, w]*HPL[{1}, 1 - v])/16 - (21*D25[u, w, v]*HPL[{1}, 1 - v])/
      64 - (15*D25[v, u, w]*HPL[{1}, 1 - v])/64 - 
     (15*D25[v, w, u]*HPL[{1}, 1 - v])/64 - (21*D25[w, u, v]*HPL[{1}, 1 - v])/
      64 + (9*D25[w, v, u]*HPL[{1}, 1 - v])/16 + 
     (D26[u, w, v]*HPL[{1}, 1 - v])/256 - (D26[v, u, w]*HPL[{1}, 1 - v])/
      256 - (D26[v, w, u]*HPL[{1}, 1 - v])/256 + 
     (D26[w, u, v]*HPL[{1}, 1 - v])/256 - (27*D27[u, v, w]*HPL[{1}, 1 - v])/
      256 - (3*D27[u, w, v]*HPL[{1}, 1 - v])/256 + 
     (9*D27[v, u, w]*HPL[{1}, 1 - v])/128 + (9*D27[v, w, u]*HPL[{1}, 1 - v])/
      128 - (3*D27[w, u, v]*HPL[{1}, 1 - v])/256 - 
     (27*D27[w, v, u]*HPL[{1}, 1 - v])/256 - 
     (21*D29[u, v, w]*HPL[{1}, 1 - v])/64 + (21*D29[v, w, u]*HPL[{1}, 1 - v])/
      32 - (21*D29[w, u, v]*HPL[{1}, 1 - v])/64 + 
     (3*D3[u, v, w]*HPL[{1}, 1 - v])/256 - (D3[u, w, v]*HPL[{1}, 1 - v])/32 + 
     (5*D3[v, u, w]*HPL[{1}, 1 - v])/256 + (5*D3[v, w, u]*HPL[{1}, 1 - v])/
      256 - (D3[w, u, v]*HPL[{1}, 1 - v])/32 + 
     (3*D3[w, v, u]*HPL[{1}, 1 - v])/256 + (177*D30[u, v, w]*HPL[{1}, 1 - v])/
      1024 - (79*D30[v, w, u]*HPL[{1}, 1 - v])/512 + 
     (177*D30[w, u, v]*HPL[{1}, 1 - v])/1024 + 
     (7*D31[u, v, w]*HPL[{1}, 1 - v])/256 - (7*D31[v, w, u]*HPL[{1}, 1 - v])/
      128 + (7*D31[w, u, v]*HPL[{1}, 1 - v])/256 - 
     (3*D32[u, v, w]*HPL[{1}, 1 - v])/64 + (D32[v, w, u]*HPL[{1}, 1 - v])/8 - 
     (3*D32[w, u, v]*HPL[{1}, 1 - v])/64 + (11*D34[u, v, w]*HPL[{1}, 1 - v])/
      512 - (7*D34[v, w, u]*HPL[{1}, 1 - v])/256 + 
     (11*D34[w, u, v]*HPL[{1}, 1 - v])/512 + (3*D4[u, v, w]*HPL[{1}, 1 - v])/
      256 - (D4[u, w, v]*HPL[{1}, 1 - v])/32 + 
     (5*D4[v, u, w]*HPL[{1}, 1 - v])/256 + (5*D4[v, w, u]*HPL[{1}, 1 - v])/
      256 - (D4[w, u, v]*HPL[{1}, 1 - v])/32 + 
     (3*D4[w, v, u]*HPL[{1}, 1 - v])/256 + (3*D5[u, v, w]*HPL[{1}, 1 - v])/
      256 + (5*D5[u, w, v]*HPL[{1}, 1 - v])/256 - 
     (D5[v, u, w]*HPL[{1}, 1 - v])/32 - (D5[v, w, u]*HPL[{1}, 1 - v])/32 + 
     (5*D5[w, u, v]*HPL[{1}, 1 - v])/256 + (3*D5[w, v, u]*HPL[{1}, 1 - v])/
      256 + (3*D6[u, v, w]*HPL[{1}, 1 - v])/128 - 
     (3*D6[u, w, v]*HPL[{1}, 1 - v])/64 + (3*D6[v, u, w]*HPL[{1}, 1 - v])/
      128 + (3*D6[v, w, u]*HPL[{1}, 1 - v])/128 - 
     (3*D6[w, u, v]*HPL[{1}, 1 - v])/64 + (3*D6[w, v, u]*HPL[{1}, 1 - v])/
      128 + (5*D7[u, v, w]*HPL[{1}, 1 - v])/256 - 
     (5*D7[u, w, v]*HPL[{1}, 1 - v])/128 + (5*D7[v, u, w]*HPL[{1}, 1 - v])/
      256 + (5*D7[v, w, u]*HPL[{1}, 1 - v])/256 - 
     (5*D7[w, u, v]*HPL[{1}, 1 - v])/128 + (5*D7[w, v, u]*HPL[{1}, 1 - v])/
      256 - (7*D8[u, v, w]*HPL[{1}, 1 - v])/256 + 
     (5*D8[u, w, v]*HPL[{1}, 1 - v])/128 - (7*D8[v, u, w]*HPL[{1}, 1 - v])/
      256 - (7*D8[v, w, u]*HPL[{1}, 1 - v])/256 + 
     (5*D8[w, u, v]*HPL[{1}, 1 - v])/128 - (7*D8[w, v, u]*HPL[{1}, 1 - v])/
      256 + (D9[u, v, w]*HPL[{1}, 1 - v])/64 + (D9[u, w, v]*HPL[{1}, 1 - v])/
      64 - (D9[v, u, w]*HPL[{1}, 1 - v])/32 - (D9[v, w, u]*HPL[{1}, 1 - v])/
      32 + (D9[w, u, v]*HPL[{1}, 1 - v])/64 + (D9[w, v, u]*HPL[{1}, 1 - v])/
      64 - (17*B1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/64 + 
     (9*B1[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/32 - 
     (17*B1[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/64 + 
     (9*B1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/32 + 
     (67*B1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/256 + 
     (67*B1[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/256 + 
     (4717*B10[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1536 + 
     (4717*B10[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1536 - 
     (395*B10[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/512 + 
     (241*B11[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1024 + 
     (241*B11[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1024 + 
     (1045*B11[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1536 + 
     (35*B2[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/192 + 
     (17*B2[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/128 + 
     (35*B2[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/192 + 
     (17*B2[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/128 - 
     (123*B2[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1024 - 
     (123*B2[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1024 + 
     (365*B3[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1536 + 
     (365*B3[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1536 + 
     (19*B3[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/64 + 
     (B4[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/64 + 
     (B4[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/64 - 
     (29*B4[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/128 + 
     (769*B5[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/3072 - 
     (1553*B5[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/6144 + 
     (769*B5[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/3072 - 
     (1553*B5[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/6144 + 
     (163*B5[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/192 + 
     (163*B5[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/192 + 
     (8263*B6[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/6144 + 
     (7175*B6[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/6144 + 
     (8263*B6[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/6144 + 
     (7175*B6[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/6144 + 
     (959*B6[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/2048 + 
     (959*B6[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/2048 + 
     (1461*B7[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/2048 + 
     (1461*B7[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/2048 + 
     (523*B7[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1536 + 
     (3995*B8[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/3072 + 
     (3995*B8[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/3072 + 
     (6701*B8[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/1024 + 
     (7733*B9[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/3072 + 
     (7733*B9[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/3072 + 
     (9*B9[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - v])/32 + 
     (9*B1[u, v, w]*HPL[{1}, 1 - v]^2)/256 + 
     (17*B1[u, w, v]*HPL[{1}, 1 - v]^2)/512 + 
     (15*B1[v, u, w]*HPL[{1}, 1 - v]^2)/512 + 
     (15*B1[v, w, u]*HPL[{1}, 1 - v]^2)/512 + 
     (17*B1[w, u, v]*HPL[{1}, 1 - v]^2)/512 + 
     (9*B1[w, v, u]*HPL[{1}, 1 - v]^2)/256 + 
     (5*B10[u, v, w]*HPL[{1}, 1 - v]^2)/512 + 
     (5*B10[v, w, u]*HPL[{1}, 1 - v]^2)/256 + 
     (5*B10[w, u, v]*HPL[{1}, 1 - v]^2)/512 - 
     (13*B11[u, v, w]*HPL[{1}, 1 - v]^2)/256 - 
     (3*B11[v, w, u]*HPL[{1}, 1 - v]^2)/64 - 
     (13*B11[w, u, v]*HPL[{1}, 1 - v]^2)/256 + 
     (B2[u, v, w]*HPL[{1}, 1 - v]^2)/32 + (19*B2[u, w, v]*HPL[{1}, 1 - v]^2)/
      512 + (17*B2[v, u, w]*HPL[{1}, 1 - v]^2)/512 + 
     (17*B2[v, w, u]*HPL[{1}, 1 - v]^2)/512 + 
     (19*B2[w, u, v]*HPL[{1}, 1 - v]^2)/512 + (B2[w, v, u]*HPL[{1}, 1 - v]^2)/
      32 + (11*B3[u, v, w]*HPL[{1}, 1 - v]^2)/256 + 
     (5*B3[v, w, u]*HPL[{1}, 1 - v]^2)/128 + 
     (11*B3[w, u, v]*HPL[{1}, 1 - v]^2)/256 + 
     (7*B4[u, v, w]*HPL[{1}, 1 - v]^2)/256 + 
     (7*B4[v, w, u]*HPL[{1}, 1 - v]^2)/256 + 
     (7*B4[w, u, v]*HPL[{1}, 1 - v]^2)/256 - (B5[u, v, w]*HPL[{1}, 1 - v]^2)/
      128 - (B5[u, w, v]*HPL[{1}, 1 - v]^2)/512 - 
     (5*B5[v, u, w]*HPL[{1}, 1 - v]^2)/512 - 
     (5*B5[v, w, u]*HPL[{1}, 1 - v]^2)/512 - (B5[w, u, v]*HPL[{1}, 1 - v]^2)/
      512 - (B5[w, v, u]*HPL[{1}, 1 - v]^2)/128 - 
     (5*B6[u, v, w]*HPL[{1}, 1 - v]^2)/512 - 
     (5*B6[v, u, w]*HPL[{1}, 1 - v]^2)/512 - 
     (5*B6[v, w, u]*HPL[{1}, 1 - v]^2)/512 - 
     (5*B6[w, v, u]*HPL[{1}, 1 - v]^2)/512 + 
     (7*B7[u, v, w]*HPL[{1}, 1 - v]^2)/256 + 
     (3*B7[v, w, u]*HPL[{1}, 1 - v]^2)/128 + 
     (7*B7[w, u, v]*HPL[{1}, 1 - v]^2)/256 - (B8[v, w, u]*HPL[{1}, 1 - v]^2)/
      256 - (75*B9[u, v, w]*HPL[{1}, 1 - v]^2)/128 - 
     (69*B9[v, w, u]*HPL[{1}, 1 - v]^2)/128 - 
     (75*B9[w, u, v]*HPL[{1}, 1 - v]^2)/128 - 
     (341*HPL[{1}, 1 - u]^6*HPL[{1}, 1 - v]^2)/18432 + 
     (887*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]^3)/36864 + 
     (65197*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^4)/65536 + 
     (1303*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^5)/4608 + 
     (971*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^6)/18432 + 
     (3*D1[u, v, w]*HPL[{1}, 1 - w])/128 - (3*D1[u, w, v]*HPL[{1}, 1 - w])/
      64 + (3*D1[v, u, w]*HPL[{1}, 1 - w])/128 - 
     (3*D1[v, w, u]*HPL[{1}, 1 - w])/64 + (3*D1[w, u, v]*HPL[{1}, 1 - w])/
      128 + (3*D1[w, v, u]*HPL[{1}, 1 - w])/128 - 
     (D10[u, v, w]*HPL[{1}, 1 - w])/32 + (5*D10[u, w, v]*HPL[{1}, 1 - w])/
      256 - (D10[v, u, w]*HPL[{1}, 1 - w])/32 + 
     (5*D10[v, w, u]*HPL[{1}, 1 - w])/256 + (3*D10[w, u, v]*HPL[{1}, 1 - w])/
      256 + (3*D10[w, v, u]*HPL[{1}, 1 - w])/256 + 
     (5*D11[u, v, w]*HPL[{1}, 1 - w])/256 - (5*D11[u, w, v]*HPL[{1}, 1 - w])/
      128 + (5*D11[v, u, w]*HPL[{1}, 1 - w])/256 - 
     (5*D11[v, w, u]*HPL[{1}, 1 - w])/128 + (5*D11[w, u, v]*HPL[{1}, 1 - w])/
      256 + (5*D11[w, v, u]*HPL[{1}, 1 - w])/256 + 
     (D12[u, v, w]*HPL[{1}, 1 - w])/256 + (D12[v, u, w]*HPL[{1}, 1 - w])/
      256 + (D12[w, u, v]*HPL[{1}, 1 - w])/256 + 
     (D12[w, v, u]*HPL[{1}, 1 - w])/256 - (D13[u, v, w]*HPL[{1}, 1 - w])/
      256 - (D13[v, w, u]*HPL[{1}, 1 - w])/256 - 
     (D13[w, u, v]*HPL[{1}, 1 - w])/128 + (D14[u, v, w]*HPL[{1}, 1 - w])/
      256 + (D14[v, w, u]*HPL[{1}, 1 - w])/256 + 
     (3*D15[u, v, w]*HPL[{1}, 1 - w])/128 + (3*D15[v, w, u]*HPL[{1}, 1 - w])/
      128 - (3*D15[w, u, v]*HPL[{1}, 1 - w])/64 + 
     (D16[u, v, w]*HPL[{1}, 1 - w])/64 + (D16[v, w, u]*HPL[{1}, 1 - w])/64 - 
     (D16[w, u, v]*HPL[{1}, 1 - w])/32 - (D17[u, v, w]*HPL[{1}, 1 - w])/64 - 
     (D17[v, w, u]*HPL[{1}, 1 - w])/64 - (D17[w, u, v]*HPL[{1}, 1 - w])/64 - 
     (D18[u, v, w]*HPL[{1}, 1 - w])/64 - (D18[v, w, u]*HPL[{1}, 1 - w])/64 - 
     (D18[w, u, v]*HPL[{1}, 1 - w])/64 + (3*D19[u, v, w]*HPL[{1}, 1 - w])/
      128 + (3*D19[v, w, u]*HPL[{1}, 1 - w])/128 - 
     (3*D19[w, u, v]*HPL[{1}, 1 - w])/64 - (D2[u, v, w]*HPL[{1}, 1 - w])/
      256 - (D2[v, u, w]*HPL[{1}, 1 - w])/256 - (D2[w, u, v]*HPL[{1}, 1 - w])/
      256 - (D2[w, v, u]*HPL[{1}, 1 - w])/256 + 
     (D20[u, v, w]*HPL[{1}, 1 - w])/256 + (D20[v, w, u]*HPL[{1}, 1 - w])/
      256 - (7*D21[u, v, w]*HPL[{1}, 1 - w])/256 - 
     (7*D21[v, w, u]*HPL[{1}, 1 - w])/256 + (5*D21[w, u, v]*HPL[{1}, 1 - w])/
      128 - (D22[u, v, w]*HPL[{1}, 1 - w])/256 - 
     (D22[v, w, u]*HPL[{1}, 1 - w])/256 + (D22[w, u, v]*HPL[{1}, 1 - w])/
      128 + (D23[u, v, w]*HPL[{1}, 1 - w])/128 + 
     (D23[v, w, u]*HPL[{1}, 1 - w])/128 + (D24[u, v, w]*HPL[{1}, 1 - w])/
      256 + (D24[v, w, u]*HPL[{1}, 1 - w])/256 - 
     (D24[w, u, v]*HPL[{1}, 1 - w])/128 - (21*D25[u, v, w]*HPL[{1}, 1 - w])/
      64 + (9*D25[u, w, v]*HPL[{1}, 1 - w])/16 - 
     (21*D25[v, u, w]*HPL[{1}, 1 - w])/64 + (9*D25[v, w, u]*HPL[{1}, 1 - w])/
      16 - (15*D25[w, u, v]*HPL[{1}, 1 - w])/64 - 
     (15*D25[w, v, u]*HPL[{1}, 1 - w])/64 + (D26[u, v, w]*HPL[{1}, 1 - w])/
      256 + (D26[v, u, w]*HPL[{1}, 1 - w])/256 - 
     (D26[w, u, v]*HPL[{1}, 1 - w])/256 - (D26[w, v, u]*HPL[{1}, 1 - w])/
      256 - (3*D27[u, v, w]*HPL[{1}, 1 - w])/256 - 
     (27*D27[u, w, v]*HPL[{1}, 1 - w])/256 - (3*D27[v, u, w]*HPL[{1}, 1 - w])/
      256 - (27*D27[v, w, u]*HPL[{1}, 1 - w])/256 + 
     (9*D27[w, u, v]*HPL[{1}, 1 - w])/128 + (9*D27[w, v, u]*HPL[{1}, 1 - w])/
      128 - (21*D29[u, v, w]*HPL[{1}, 1 - w])/64 - 
     (21*D29[v, w, u]*HPL[{1}, 1 - w])/64 + (21*D29[w, u, v]*HPL[{1}, 1 - w])/
      32 - (D3[u, v, w]*HPL[{1}, 1 - w])/32 + (3*D3[u, w, v]*HPL[{1}, 1 - w])/
      256 - (D3[v, u, w]*HPL[{1}, 1 - w])/32 + 
     (3*D3[v, w, u]*HPL[{1}, 1 - w])/256 + (5*D3[w, u, v]*HPL[{1}, 1 - w])/
      256 + (5*D3[w, v, u]*HPL[{1}, 1 - w])/256 + 
     (177*D30[u, v, w]*HPL[{1}, 1 - w])/1024 + 
     (177*D30[v, w, u]*HPL[{1}, 1 - w])/1024 - 
     (79*D30[w, u, v]*HPL[{1}, 1 - w])/512 + (7*D31[u, v, w]*HPL[{1}, 1 - w])/
      256 + (7*D31[v, w, u]*HPL[{1}, 1 - w])/256 - 
     (7*D31[w, u, v]*HPL[{1}, 1 - w])/128 - (3*D32[u, v, w]*HPL[{1}, 1 - w])/
      64 - (3*D32[v, w, u]*HPL[{1}, 1 - w])/64 + 
     (D32[w, u, v]*HPL[{1}, 1 - w])/8 + (11*D34[u, v, w]*HPL[{1}, 1 - w])/
      512 + (11*D34[v, w, u]*HPL[{1}, 1 - w])/512 - 
     (7*D34[w, u, v]*HPL[{1}, 1 - w])/256 - (D4[u, v, w]*HPL[{1}, 1 - w])/
      32 + (3*D4[u, w, v]*HPL[{1}, 1 - w])/256 - 
     (D4[v, u, w]*HPL[{1}, 1 - w])/32 + (3*D4[v, w, u]*HPL[{1}, 1 - w])/256 + 
     (5*D4[w, u, v]*HPL[{1}, 1 - w])/256 + (5*D4[w, v, u]*HPL[{1}, 1 - w])/
      256 + (5*D5[u, v, w]*HPL[{1}, 1 - w])/256 + 
     (3*D5[u, w, v]*HPL[{1}, 1 - w])/256 + (5*D5[v, u, w]*HPL[{1}, 1 - w])/
      256 + (3*D5[v, w, u]*HPL[{1}, 1 - w])/256 - 
     (D5[w, u, v]*HPL[{1}, 1 - w])/32 - (D5[w, v, u]*HPL[{1}, 1 - w])/32 - 
     (3*D6[u, v, w]*HPL[{1}, 1 - w])/64 + (3*D6[u, w, v]*HPL[{1}, 1 - w])/
      128 - (3*D6[v, u, w]*HPL[{1}, 1 - w])/64 + 
     (3*D6[v, w, u]*HPL[{1}, 1 - w])/128 + (3*D6[w, u, v]*HPL[{1}, 1 - w])/
      128 + (3*D6[w, v, u]*HPL[{1}, 1 - w])/128 - 
     (5*D7[u, v, w]*HPL[{1}, 1 - w])/128 + (5*D7[u, w, v]*HPL[{1}, 1 - w])/
      256 - (5*D7[v, u, w]*HPL[{1}, 1 - w])/128 + 
     (5*D7[v, w, u]*HPL[{1}, 1 - w])/256 + (5*D7[w, u, v]*HPL[{1}, 1 - w])/
      256 + (5*D7[w, v, u]*HPL[{1}, 1 - w])/256 + 
     (5*D8[u, v, w]*HPL[{1}, 1 - w])/128 - (7*D8[u, w, v]*HPL[{1}, 1 - w])/
      256 + (5*D8[v, u, w]*HPL[{1}, 1 - w])/128 - 
     (7*D8[v, w, u]*HPL[{1}, 1 - w])/256 - (7*D8[w, u, v]*HPL[{1}, 1 - w])/
      256 - (7*D8[w, v, u]*HPL[{1}, 1 - w])/256 + 
     (D9[u, v, w]*HPL[{1}, 1 - w])/64 + (D9[u, w, v]*HPL[{1}, 1 - w])/64 + 
     (D9[v, u, w]*HPL[{1}, 1 - w])/64 + (D9[v, w, u]*HPL[{1}, 1 - w])/64 - 
     (D9[w, u, v]*HPL[{1}, 1 - w])/32 - (D9[w, v, u]*HPL[{1}, 1 - w])/32 + 
     (9*B1[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/32 - 
     (17*B1[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/64 + 
     (67*B1[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/256 + 
     (67*B1[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/256 - 
     (17*B1[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/64 + 
     (9*B1[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/32 + 
     (4717*B10[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/1536 - 
     (395*B10[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/512 + 
     (4717*B10[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/1536 + 
     (241*B11[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/1024 + 
     (1045*B11[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/1536 + 
     (241*B11[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/1024 + 
     (17*B2[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/128 + 
     (35*B2[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/192 - 
     (123*B2[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/1024 - 
     (123*B2[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/1024 + 
     (35*B2[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/192 + 
     (17*B2[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/128 + 
     (365*B3[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/1536 + 
     (19*B3[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/64 + 
     (365*B3[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/1536 + 
     (B4[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/64 - 
     (29*B4[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/128 + 
     (B4[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/64 - 
     (1553*B5[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/6144 + 
     (769*B5[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/3072 + 
     (163*B5[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/192 + 
     (163*B5[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/192 + 
     (769*B5[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/3072 - 
     (1553*B5[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/6144 + 
     (7175*B6[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/6144 + 
     (8263*B6[u, w, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/6144 + 
     (959*B6[v, u, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/2048 + 
     (959*B6[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/2048 + 
     (8263*B6[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/6144 + 
     (7175*B6[w, v, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/6144 + 
     (1461*B7[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/2048 + 
     (523*B7[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/1536 + 
     (1461*B7[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/2048 + 
     (3995*B8[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/3072 + 
     (6701*B8[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/1024 + 
     (3995*B8[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/3072 + 
     (7733*B9[u, v, w]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/3072 + 
     (9*B9[v, w, u]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/32 + 
     (7733*B9[w, u, v]*HPL[{1}, 1 - u]*HPL[{1}, 1 - w])/3072 + 
     (67*B1[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/256 + 
     (67*B1[u, w, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/256 + 
     (9*B1[v, u, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/32 - 
     (17*B1[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/64 + 
     (9*B1[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/32 - 
     (17*B1[w, v, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/64 - 
     (395*B10[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/512 + 
     (4717*B10[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1536 + 
     (4717*B10[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1536 + 
     (1045*B11[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1536 + 
     (241*B11[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1024 + 
     (241*B11[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1024 - 
     (123*B2[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1024 - 
     (123*B2[u, w, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1024 + 
     (17*B2[v, u, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/128 + 
     (35*B2[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/192 + 
     (17*B2[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/128 + 
     (35*B2[w, v, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/192 + 
     (19*B3[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/64 + 
     (365*B3[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1536 + 
     (365*B3[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1536 - 
     (29*B4[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/128 + 
     (B4[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/64 + 
     (B4[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/64 + 
     (163*B5[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/192 + 
     (163*B5[u, w, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/192 - 
     (1553*B5[v, u, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/6144 + 
     (769*B5[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/3072 - 
     (1553*B5[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/6144 + 
     (769*B5[w, v, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/3072 + 
     (959*B6[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/2048 + 
     (959*B6[u, w, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/2048 + 
     (7175*B6[v, u, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/6144 + 
     (8263*B6[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/6144 + 
     (7175*B6[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/6144 + 
     (8263*B6[w, v, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/6144 + 
     (523*B7[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1536 + 
     (1461*B7[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/2048 + 
     (1461*B7[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/2048 + 
     (6701*B8[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/1024 + 
     (3995*B8[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/3072 + 
     (3995*B8[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/3072 + 
     (9*B9[u, v, w]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/32 + 
     (7733*B9[v, w, u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/3072 + 
     (7733*B9[w, u, v]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/3072 + 
     (187*HPL[{1}, 1 - u]^6*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/15360 + 
     (27619*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w])/368640 + 
     (69641*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w])/49152 + 
     (65419*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w])/147456 + 
     (5087*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w])/30720 + 
     (187*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^6*HPL[{1}, 1 - w])/15360 + 
     (17*B1[u, v, w]*HPL[{1}, 1 - w]^2)/512 + 
     (9*B1[u, w, v]*HPL[{1}, 1 - w]^2)/256 + 
     (17*B1[v, u, w]*HPL[{1}, 1 - w]^2)/512 + 
     (9*B1[v, w, u]*HPL[{1}, 1 - w]^2)/256 + 
     (15*B1[w, u, v]*HPL[{1}, 1 - w]^2)/512 + 
     (15*B1[w, v, u]*HPL[{1}, 1 - w]^2)/512 + 
     (5*B10[u, v, w]*HPL[{1}, 1 - w]^2)/512 + 
     (5*B10[v, w, u]*HPL[{1}, 1 - w]^2)/512 + 
     (5*B10[w, u, v]*HPL[{1}, 1 - w]^2)/256 - 
     (13*B11[u, v, w]*HPL[{1}, 1 - w]^2)/256 - 
     (13*B11[v, w, u]*HPL[{1}, 1 - w]^2)/256 - 
     (3*B11[w, u, v]*HPL[{1}, 1 - w]^2)/64 + 
     (19*B2[u, v, w]*HPL[{1}, 1 - w]^2)/512 + (B2[u, w, v]*HPL[{1}, 1 - w]^2)/
      32 + (19*B2[v, u, w]*HPL[{1}, 1 - w]^2)/512 + 
     (B2[v, w, u]*HPL[{1}, 1 - w]^2)/32 + (17*B2[w, u, v]*HPL[{1}, 1 - w]^2)/
      512 + (17*B2[w, v, u]*HPL[{1}, 1 - w]^2)/512 + 
     (11*B3[u, v, w]*HPL[{1}, 1 - w]^2)/256 + 
     (11*B3[v, w, u]*HPL[{1}, 1 - w]^2)/256 + 
     (5*B3[w, u, v]*HPL[{1}, 1 - w]^2)/128 + 
     (7*B4[u, v, w]*HPL[{1}, 1 - w]^2)/256 + 
     (7*B4[v, w, u]*HPL[{1}, 1 - w]^2)/256 + 
     (7*B4[w, u, v]*HPL[{1}, 1 - w]^2)/256 - (B5[u, v, w]*HPL[{1}, 1 - w]^2)/
      512 - (B5[u, w, v]*HPL[{1}, 1 - w]^2)/128 - 
     (B5[v, u, w]*HPL[{1}, 1 - w]^2)/512 - (B5[v, w, u]*HPL[{1}, 1 - w]^2)/
      128 - (5*B5[w, u, v]*HPL[{1}, 1 - w]^2)/512 - 
     (5*B5[w, v, u]*HPL[{1}, 1 - w]^2)/512 - 
     (5*B6[u, w, v]*HPL[{1}, 1 - w]^2)/512 - 
     (5*B6[v, w, u]*HPL[{1}, 1 - w]^2)/512 - 
     (5*B6[w, u, v]*HPL[{1}, 1 - w]^2)/512 - 
     (5*B6[w, v, u]*HPL[{1}, 1 - w]^2)/512 + 
     (7*B7[u, v, w]*HPL[{1}, 1 - w]^2)/256 + 
     (7*B7[v, w, u]*HPL[{1}, 1 - w]^2)/256 + 
     (3*B7[w, u, v]*HPL[{1}, 1 - w]^2)/128 - (B8[w, u, v]*HPL[{1}, 1 - w]^2)/
      256 - (75*B9[u, v, w]*HPL[{1}, 1 - w]^2)/128 - 
     (75*B9[v, w, u]*HPL[{1}, 1 - w]^2)/128 - 
     (69*B9[w, u, v]*HPL[{1}, 1 - w]^2)/128 + 
     (1139*HPL[{1}, 1 - u]^6*HPL[{1}, 1 - w]^2)/12288 + 
     (11743*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2)/737280 - 
     (1320289*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2)/884736 + 
     (657499*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2)/110592 - 
     (1271347*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2)/884736 - 
     (77159*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]^2)/245760 + 
     (793*HPL[{1}, 1 - v]^6*HPL[{1}, 1 - w]^2)/36864 - 
     (21547*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w]^3)/147456 + 
     (1367*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3)/2304 + 
     (1239425*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3)/221184 + 
     (641695*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3)/110592 + 
     (133133*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^3)/73728 - 
     (24421*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]^3)/147456 + 
     (111225*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^4)/65536 + 
     (228203*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4)/147456 - 
     (1519441*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4)/884736 + 
     (3439*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^4)/12288 + 
     (275767*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^4)/196608 - 
     (12151*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^5)/36864 - 
     (20581*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5)/368640 + 
     (242843*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^5)/737280 + 
     (3665*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^5)/147456 + 
     (89*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^6)/4096 + 
     (187*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^6)/15360 + 
     (967*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^6)/18432 + 
     (25*B1[u, v, w]*HPL[{0, 1}, 1 - u])/256 + 
     (25*B1[u, w, v]*HPL[{0, 1}, 1 - u])/256 + 
     (13*B1[v, u, w]*HPL[{0, 1}, 1 - u])/128 + 
     (25*B1[v, w, u]*HPL[{0, 1}, 1 - u])/256 + 
     (13*B1[w, u, v]*HPL[{0, 1}, 1 - u])/128 + 
     (25*B1[w, v, u]*HPL[{0, 1}, 1 - u])/256 + 
     (5*B10[u, v, w]*HPL[{0, 1}, 1 - u])/128 + 
     (7*B10[v, w, u]*HPL[{0, 1}, 1 - u])/256 + 
     (7*B10[w, u, v]*HPL[{0, 1}, 1 - u])/256 - 
     (B11[u, v, w]*HPL[{0, 1}, 1 - u])/8 - 
     (19*B11[v, w, u]*HPL[{0, 1}, 1 - u])/128 - 
     (19*B11[w, u, v]*HPL[{0, 1}, 1 - u])/128 + 
     (25*B2[u, v, w]*HPL[{0, 1}, 1 - u])/256 + 
     (25*B2[u, w, v]*HPL[{0, 1}, 1 - u])/256 + 
     (13*B2[v, u, w]*HPL[{0, 1}, 1 - u])/128 + 
     (27*B2[v, w, u]*HPL[{0, 1}, 1 - u])/256 + 
     (13*B2[w, u, v]*HPL[{0, 1}, 1 - u])/128 + 
     (27*B2[w, v, u]*HPL[{0, 1}, 1 - u])/256 + 
     (B3[u, v, w]*HPL[{0, 1}, 1 - u])/8 + (17*B3[v, w, u]*HPL[{0, 1}, 1 - u])/
      128 + (17*B3[w, u, v]*HPL[{0, 1}, 1 - u])/128 + 
     (11*B4[u, v, w]*HPL[{0, 1}, 1 - u])/128 + 
     (11*B4[v, w, u]*HPL[{0, 1}, 1 - u])/128 + 
     (11*B4[w, u, v]*HPL[{0, 1}, 1 - u])/128 - 
     (5*B5[u, v, w]*HPL[{0, 1}, 1 - u])/256 - 
     (5*B5[u, w, v]*HPL[{0, 1}, 1 - u])/256 - 
     (B5[v, u, w]*HPL[{0, 1}, 1 - u])/64 - (3*B5[v, w, u]*HPL[{0, 1}, 1 - u])/
      256 - (B5[w, u, v]*HPL[{0, 1}, 1 - u])/64 - 
     (3*B5[w, v, u]*HPL[{0, 1}, 1 - u])/256 - 
     (5*B6[u, v, w]*HPL[{0, 1}, 1 - u])/256 - 
     (5*B6[u, w, v]*HPL[{0, 1}, 1 - u])/256 - 
     (5*B6[v, u, w]*HPL[{0, 1}, 1 - u])/256 - 
     (B6[v, w, u]*HPL[{0, 1}, 1 - u])/128 - 
     (5*B6[w, u, v]*HPL[{0, 1}, 1 - u])/256 - 
     (B6[w, v, u]*HPL[{0, 1}, 1 - u])/128 + 
     (5*B7[u, v, w]*HPL[{0, 1}, 1 - u])/64 + 
     (9*B7[v, w, u]*HPL[{0, 1}, 1 - u])/128 + 
     (9*B7[w, u, v]*HPL[{0, 1}, 1 - u])/128 - 
     (B8[u, v, w]*HPL[{0, 1}, 1 - u])/128 - (B8[v, w, u]*HPL[{0, 1}, 1 - u])/
      64 - (B8[w, u, v]*HPL[{0, 1}, 1 - u])/64 - 
     (111*B9[u, v, w]*HPL[{0, 1}, 1 - u])/64 - 
     (111*B9[v, w, u]*HPL[{0, 1}, 1 - u])/64 - 
     (111*B9[w, u, v]*HPL[{0, 1}, 1 - u])/64 - 
     (925*HPL[{1}, 1 - u]^6*HPL[{0, 1}, 1 - u])/6144 - 
     (12095*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u])/24576 - 
     (282229*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u])/442368 + 
     (1313087*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u])/
      442368 - (94237*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u])/
      442368 + (225829*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - u])/
      221184 + (493*HPL[{1}, 1 - v]^6*HPL[{0, 1}, 1 - u])/4608 - 
     (12095*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/24576 + 
     (809303*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u])/147456 - (1644841*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/442368 - 
     (4550125*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u])/442368 - (596789*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/221184 + 
     (25627*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/30720 - 
     (118255*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u])/147456 - 
     (208231*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u])/49152 + (4953325*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u])/884736 + 
     (123713*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u])/49152 - (435161*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u])/147456 + 
     (37971*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u])/16384 - 
     (3991027*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u])/442368 + (49813*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u])/49152 + 
     (60263*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u])/36864 + 
     (4955*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u])/147456 - 
     (79679*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
       HPL[{0, 1}, 1 - u])/73728 - (582673*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u])/147456 - 
     (21109*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - u])/73728 + 
     (72137*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - u])/184320 + 
     (277*HPL[{1}, 1 - w]^6*HPL[{0, 1}, 1 - u])/6144 - 
     (156689*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - u]^2)/147456 + 
     (502993*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2)/73728 - 
     (61757*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2)/73728 - 
     (881225*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]^2)/110592 - 
     (74861*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u]^2)/24576 + 
     (470201*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2)/73728 - 
     (202613*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]^2)/294912 + (554999*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2)/98304 + 
     (394639*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2)/73728 - 
     (39943*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2)/73728 + 
     (3574597*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u]^2)/294912 - (1896517*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2)/147456 - 
     (1104839*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]^2)/
      110592 + (420679*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u]^2)/73728 - (151499*HPL[{1}, 1 - w]^4*
       HPL[{0, 1}, 1 - u]^2)/73728 + (11993*HPL[{1}, 1 - u]^2*
       HPL[{0, 1}, 1 - u]^3)/8192 - (1144493*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]^3)/147456 - (24473*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u]^3)/12288 - (1091501*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]^3)/147456 + (18085*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]^3)/16384 + (977*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u]^3)/4096 - (11483*HPL[{0, 1}, 1 - u]^4)/49152 + 
     (13*B1[u, v, w]*HPL[{0, 1}, 1 - v])/128 + 
     (25*B1[u, w, v]*HPL[{0, 1}, 1 - v])/256 + 
     (25*B1[v, u, w]*HPL[{0, 1}, 1 - v])/256 + 
     (25*B1[v, w, u]*HPL[{0, 1}, 1 - v])/256 + 
     (25*B1[w, u, v]*HPL[{0, 1}, 1 - v])/256 + 
     (13*B1[w, v, u]*HPL[{0, 1}, 1 - v])/128 + 
     (7*B10[u, v, w]*HPL[{0, 1}, 1 - v])/256 + 
     (5*B10[v, w, u]*HPL[{0, 1}, 1 - v])/128 + 
     (7*B10[w, u, v]*HPL[{0, 1}, 1 - v])/256 - 
     (19*B11[u, v, w]*HPL[{0, 1}, 1 - v])/128 - 
     (B11[v, w, u]*HPL[{0, 1}, 1 - v])/8 - 
     (19*B11[w, u, v]*HPL[{0, 1}, 1 - v])/128 + 
     (13*B2[u, v, w]*HPL[{0, 1}, 1 - v])/128 + 
     (27*B2[u, w, v]*HPL[{0, 1}, 1 - v])/256 + 
     (25*B2[v, u, w]*HPL[{0, 1}, 1 - v])/256 + 
     (25*B2[v, w, u]*HPL[{0, 1}, 1 - v])/256 + 
     (27*B2[w, u, v]*HPL[{0, 1}, 1 - v])/256 + 
     (13*B2[w, v, u]*HPL[{0, 1}, 1 - v])/128 + 
     (17*B3[u, v, w]*HPL[{0, 1}, 1 - v])/128 + 
     (B3[v, w, u]*HPL[{0, 1}, 1 - v])/8 + (17*B3[w, u, v]*HPL[{0, 1}, 1 - v])/
      128 + (11*B4[u, v, w]*HPL[{0, 1}, 1 - v])/128 + 
     (11*B4[v, w, u]*HPL[{0, 1}, 1 - v])/128 + 
     (11*B4[w, u, v]*HPL[{0, 1}, 1 - v])/128 - 
     (B5[u, v, w]*HPL[{0, 1}, 1 - v])/64 - (3*B5[u, w, v]*HPL[{0, 1}, 1 - v])/
      256 - (5*B5[v, u, w]*HPL[{0, 1}, 1 - v])/256 - 
     (5*B5[v, w, u]*HPL[{0, 1}, 1 - v])/256 - 
     (3*B5[w, u, v]*HPL[{0, 1}, 1 - v])/256 - 
     (B5[w, v, u]*HPL[{0, 1}, 1 - v])/64 - (5*B6[u, v, w]*HPL[{0, 1}, 1 - v])/
      256 - (B6[u, w, v]*HPL[{0, 1}, 1 - v])/128 - 
     (5*B6[v, u, w]*HPL[{0, 1}, 1 - v])/256 - 
     (5*B6[v, w, u]*HPL[{0, 1}, 1 - v])/256 - 
     (B6[w, u, v]*HPL[{0, 1}, 1 - v])/128 - 
     (5*B6[w, v, u]*HPL[{0, 1}, 1 - v])/256 + 
     (9*B7[u, v, w]*HPL[{0, 1}, 1 - v])/128 + 
     (5*B7[v, w, u]*HPL[{0, 1}, 1 - v])/64 + 
     (9*B7[w, u, v]*HPL[{0, 1}, 1 - v])/128 - 
     (B8[u, v, w]*HPL[{0, 1}, 1 - v])/64 - (B8[v, w, u]*HPL[{0, 1}, 1 - v])/
      128 - (B8[w, u, v]*HPL[{0, 1}, 1 - v])/64 - 
     (111*B9[u, v, w]*HPL[{0, 1}, 1 - v])/64 - 
     (111*B9[v, w, u]*HPL[{0, 1}, 1 - v])/64 - 
     (111*B9[w, u, v]*HPL[{0, 1}, 1 - v])/64 - 
     (163*HPL[{1}, 1 - u]^6*HPL[{0, 1}, 1 - v])/4608 + 
     (69401*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v])/221184 - 
     (88145*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v])/442368 + 
     (778747*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v])/442368 - 
     (324389*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v])/442368 - 
     (12095*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - v])/24576 - 
     (925*HPL[{1}, 1 - v]^6*HPL[{0, 1}, 1 - v])/6144 + 
     (120337*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/184320 - 
     (219757*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v])/221184 - (3987487*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/442368 - 
     (2054171*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v])/442368 + (809303*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/147456 - 
     (12095*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/24576 - 
     (226837*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v])/49152 + 
     (219611*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v])/147456 + (4920697*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v])/884736 - 
     (1381547*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v])/442368 - (312605*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v])/442368 + 
     (128599*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v])/73728 + 
     (259675*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - v])/147456 - (4354675*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v])/442368 + 
     (1476355*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v])/
      442368 - (142801*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4*
       HPL[{0, 1}, 1 - v])/49152 - (286319*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v])/110592 - 
     (173903*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v])/442368 + 
     (428279*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - v])/368640 + 
     (13951*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - v])/27648 + 
     (491*HPL[{1}, 1 - w]^6*HPL[{0, 1}, 1 - v])/4608 + 
     (583529*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/
      221184 + (1055165*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/221184 - (3816035*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/73728 + 
     (1492121*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/221184 + (793273*HPL[{1}, 1 - v]^4*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/221184 + 
     (931355*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/55296 - (246383*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/55296 - 
     (2135075*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/110592 + 
     (1818485*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/110592 - (5115391*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/221184 - 
     (635507*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/147456 - 
     (3997517*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/221184 + (825979*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/221184 + 
     (141359*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/73728 - (87617*HPL[{1}, 1 - w]^4*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/221184 + 
     (14407*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v])/3072 - 
     (1254097*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1}, 1 - v])/49152 - (383875*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v])/36864 + 
     (622675*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1}, 1 - v])/36864 + (173405*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v])/16384 + 
     (133409*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v])/
      6144 + (19937*HPL[{0, 1}, 1 - u]^3*HPL[{0, 1}, 1 - v])/12288 - 
     (113827*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - v]^2)/73728 - 
     (950699*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2)/110592 - 
     (52231*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]^2)/24576 + 
     (160667*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]^2)/24576 - 
     (156689*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v]^2)/147456 + 
     (516421*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2)/73728 + 
     (3265261*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]^2)/294912 + 
     (79579*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]^2)/294912 + (54577*HPL[{1}, 1 - v]^3*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2)/8192 - 
     (2070241*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2)/
      147456 + (1903453*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v]^2)/294912 - (5185*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2)/24576 + 
     (393469*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]^2)/73728 - 
     (1008785*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]^2)/
      110592 - (269965*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]^2)/73728 + 
     (35419*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2)/
      12288 - (5064115*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v]^2)/147456 + (12251*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2)/3072 + 
     (1304327*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v]^2)/49152 + (23317*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2)/36864 + 
     (56077*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2)/3072 - 
     (4387753*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^2)/294912 + 
     (6481*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^3)/4096 - 
     (1116269*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^3)/147456 + 
     (11993*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]^3)/8192 + 
     (48631*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^3)/49152 - 
     (1119725*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^3)/147456 - 
     (13193*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^3)/4096 + 
     (19937*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^3)/12288 - 
     (11483*HPL[{0, 1}, 1 - v]^4)/49152 + (25*B1[u, v, w]*HPL[{0, 1}, 1 - w])/
      256 + (13*B1[u, w, v]*HPL[{0, 1}, 1 - w])/128 + 
     (25*B1[v, u, w]*HPL[{0, 1}, 1 - w])/256 + 
     (13*B1[v, w, u]*HPL[{0, 1}, 1 - w])/128 + 
     (25*B1[w, u, v]*HPL[{0, 1}, 1 - w])/256 + 
     (25*B1[w, v, u]*HPL[{0, 1}, 1 - w])/256 + 
     (7*B10[u, v, w]*HPL[{0, 1}, 1 - w])/256 + 
     (7*B10[v, w, u]*HPL[{0, 1}, 1 - w])/256 + 
     (5*B10[w, u, v]*HPL[{0, 1}, 1 - w])/128 - 
     (19*B11[u, v, w]*HPL[{0, 1}, 1 - w])/128 - 
     (19*B11[v, w, u]*HPL[{0, 1}, 1 - w])/128 - 
     (B11[w, u, v]*HPL[{0, 1}, 1 - w])/8 + 
     (27*B2[u, v, w]*HPL[{0, 1}, 1 - w])/256 + 
     (13*B2[u, w, v]*HPL[{0, 1}, 1 - w])/128 + 
     (27*B2[v, u, w]*HPL[{0, 1}, 1 - w])/256 + 
     (13*B2[v, w, u]*HPL[{0, 1}, 1 - w])/128 + 
     (25*B2[w, u, v]*HPL[{0, 1}, 1 - w])/256 + 
     (25*B2[w, v, u]*HPL[{0, 1}, 1 - w])/256 + 
     (17*B3[u, v, w]*HPL[{0, 1}, 1 - w])/128 + 
     (17*B3[v, w, u]*HPL[{0, 1}, 1 - w])/128 + 
     (B3[w, u, v]*HPL[{0, 1}, 1 - w])/8 + (11*B4[u, v, w]*HPL[{0, 1}, 1 - w])/
      128 + (11*B4[v, w, u]*HPL[{0, 1}, 1 - w])/128 + 
     (11*B4[w, u, v]*HPL[{0, 1}, 1 - w])/128 - 
     (3*B5[u, v, w]*HPL[{0, 1}, 1 - w])/256 - 
     (B5[u, w, v]*HPL[{0, 1}, 1 - w])/64 - (3*B5[v, u, w]*HPL[{0, 1}, 1 - w])/
      256 - (B5[v, w, u]*HPL[{0, 1}, 1 - w])/64 - 
     (5*B5[w, u, v]*HPL[{0, 1}, 1 - w])/256 - 
     (5*B5[w, v, u]*HPL[{0, 1}, 1 - w])/256 - 
     (B6[u, v, w]*HPL[{0, 1}, 1 - w])/128 - 
     (5*B6[u, w, v]*HPL[{0, 1}, 1 - w])/256 - 
     (B6[v, u, w]*HPL[{0, 1}, 1 - w])/128 - 
     (5*B6[v, w, u]*HPL[{0, 1}, 1 - w])/256 - 
     (5*B6[w, u, v]*HPL[{0, 1}, 1 - w])/256 - 
     (5*B6[w, v, u]*HPL[{0, 1}, 1 - w])/256 + 
     (9*B7[u, v, w]*HPL[{0, 1}, 1 - w])/128 + 
     (9*B7[v, w, u]*HPL[{0, 1}, 1 - w])/128 + 
     (5*B7[w, u, v]*HPL[{0, 1}, 1 - w])/64 - (B8[u, v, w]*HPL[{0, 1}, 1 - w])/
      64 - (B8[v, w, u]*HPL[{0, 1}, 1 - w])/64 - 
     (B8[w, u, v]*HPL[{0, 1}, 1 - w])/128 - 
     (111*B9[u, v, w]*HPL[{0, 1}, 1 - w])/64 - 
     (111*B9[v, w, u]*HPL[{0, 1}, 1 - w])/64 - 
     (111*B9[w, u, v]*HPL[{0, 1}, 1 - w])/64 + 
     (383*HPL[{1}, 1 - u]^6*HPL[{0, 1}, 1 - w])/2048 + 
     (197179*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w])/368640 - 
     (297919*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/147456 + 
     (94531*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w])/73728 - 
     (559397*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w])/147456 - 
     (15347*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5*HPL[{0, 1}, 1 - w])/122880 + 
     (823*HPL[{1}, 1 - v]^6*HPL[{0, 1}, 1 - w])/18432 + 
     (4975*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/18432 - 
     (34381*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w])/12288 + (331895*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/147456 + 
     (97081*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w])/49152 - (69275*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/55296 + 
     (4547*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/110592 - 
     (38317*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w])/147456 - 
     (4497031*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w])/442368 + (5086093*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w])/884736 - 
     (4084999*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w])/442368 + (10073*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w])/442368 + 
     (58905*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w])/16384 - 
     (514565*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - w])/147456 - (2149867*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w])/442368 + 
     (922511*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w])/442368 - 
     (36805*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w])/49152 + 
     (809303*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*
       HPL[{0, 1}, 1 - w])/147456 - (305749*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w])/442368 - 
     (12095*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - w])/24576 - 
     (12095*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5*HPL[{0, 1}, 1 - w])/24576 - 
     (925*HPL[{1}, 1 - w]^6*HPL[{0, 1}, 1 - w])/6144 + 
     (301499*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/73728 + 
     (547901*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/36864 - (1073749*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/73728 + 
     (239147*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/221184 - (286157*HPL[{1}, 1 - v]^4*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/221184 + 
     (243191*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/221184 - (623219*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/36864 - 
     (511865*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/49152 + 
     (668501*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/221184 - (335521*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/8192 - 
     (90085*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/36864 - 
     (171615*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/8192 + (78785*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/221184 + 
     (560641*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/36864 + (75209*HPL[{1}, 1 - w]^4*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/24576 + 
     (3453*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w])/1024 + 
     (14263*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1}, 1 - w])/4096 + (108677*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w])/6144 - 
     (4002307*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1}, 1 - w])/147456 + (3381301*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w])/147456 - 
     (9751*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w])/4096 + 
     (19937*HPL[{0, 1}, 1 - u]^3*HPL[{0, 1}, 1 - w])/12288 - 
     (188831*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/
      221184 + (214609*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/73728 - (4127225*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/221184 + 
     (1306241*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/110592 + (694753*HPL[{1}, 1 - v]^4*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/221184 + 
     (350515*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/221184 - (1030627*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/
      147456 + (162775*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/110592 + 
     (569609*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/221184 - (4466995*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/221184 - 
     (2408635*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/110592 - 
     (372267*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/8192 + (2060449*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/110592 + 
     (747653*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/221184 + (811145*HPL[{1}, 1 - w]^4*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/221184 + 
     (8552437*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/73728 + (18707*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/1152 + 
     (8314529*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/73728 + (9633*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/512 + 
     (373111*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/18432 + 
     (977761*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/8192 - (2179135*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/442368 + 
     (68021*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/3072 + 
     (775633*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1}, 1 - w])/36864 + (12515*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/3072 + 
     (248719*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1}, 1 - w])/49152 - (2892115*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/147456 - 
     (181283*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/
      12288 - (2179135*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1}, 1 - w])/442368 + (19937*HPL[{0, 1}, 1 - v]^3*
       HPL[{0, 1}, 1 - w])/12288 - (273899*HPL[{1}, 1 - u]^4*
       HPL[{0, 1}, 1 - w]^2)/73728 + (317839*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2)/73728 - 
     (1655989*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2)/
      147456 + (405733*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - w]^2)/73728 - (43567*HPL[{1}, 1 - v]^4*
       HPL[{0, 1}, 1 - w]^2)/24576 - (266309*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2)/27648 + 
     (2095925*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]^2)/294912 + (3462877*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2)/294912 - 
     (1040531*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2)/
      110592 + (34811*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w]^2)/73728 - (418133*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2)/294912 - 
     (82631*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2)/73728 + 
     (491129*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]^2)/73728 + 
     (482065*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]^2)/73728 - 
     (156689*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]^2)/147456 - 
     (614159*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2)/
      36864 + (162301*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w]^2)/16384 + (1311*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2)/64 - 
     (2486147*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w]^2)/147456 + (649633*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2)/36864 + 
     (3541*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2)/1024 - 
     (4387753*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]^2)/294912 + 
     (51949*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2)/3072 + 
     (4367597*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]^2)/147456 - (1691*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2)/12288 - 
     (79927*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]^2)/36864 - (4553107*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2)/147456 + 
     (14143*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2)/3072 - 
     (2179135*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2)/
      442368 - (4387753*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2)/294912 - 
     (44845*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]^3)/12288 + 
     (107927*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^3)/49152 + 
     (3295*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^3)/4096 - 
     (1094957*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^3)/147456 - 
     (1141037*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^3)/147456 + 
     (11993*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^3)/8192 + 
     (19937*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^3)/12288 + 
     (19937*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^3)/12288 - 
     (11483*HPL[{0, 1}, 1 - w]^4)/49152 - 
     (2741*HPL[{1}, 1 - u]^5*HPL[{0, 0, 1}, 1 - u])/4608 - 
     (10409*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/4608 + 
     (104071*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u])/
      55296 + (45379*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
       HPL[{0, 0, 1}, 1 - u])/221184 - 
     (165853*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - u])/
      110592 + (4849*HPL[{1}, 1 - v]^5*HPL[{0, 0, 1}, 1 - u])/55296 - 
     (403*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/128 - 
     (17807*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/1536 + (3928883*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/442368 + 
     (101873*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/27648 + (8893*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/55296 + (48421*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u])/18432 + 
     (3080615*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - u])/147456 + 
     (873961*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - u])/13824 - (503957*HPL[{1}, 1 - v]^3*
       HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u])/221184 - 
     (10323*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u])/2048 - 
     (86359*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 1}, 1 - u])/110592 - (385127*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u])/221184 + 
     (14641*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - u])/36864 + 
     (33137*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - u])/36864 + 
     (1759*HPL[{1}, 1 - w]^5*HPL[{0, 0, 1}, 1 - u])/9216 - 
     (172601*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u])/
      18432 + (297163*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - u])/73728 + 
     (82889*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - u])/36864 - (351529*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u])/73728 + 
     (350155*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - u])/73728 + (499705*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u])/12288 - 
     (50285*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - u])/36864 + (238673*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u])/36864 - 
     (118795*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - u])/36864 - (474149*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u])/73728 + 
     (28039*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u])/
      6144 + (13985*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 0, 1}, 1 - u])/1536 + (14585*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u])/1536 + 
     (51739*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/
      6912 + (1024655*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u])/221184 + (2347985*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/221184 - 
     (1751*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/
      110592 + (1680961*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u])/27648 + (985339*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/73728 - 
     (196853*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u])/110592 - (4952053*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/221184 + 
     (185515*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u])/110592 - (1099751*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/110592 + 
     (38755*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u])/6144 - (384227*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/36864 + 
     (747145*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u])/36864 + (4534765*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u])/147456 - 
     (3269*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u])/1536 - 
     (38987*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u])/
      18432 + (74017*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/9216 + (613685*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/12288 - 
     (178511*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/8192 - (76039*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/12288 + 
     (359737*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/24576 + (388813*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/24576 + 
     (114215*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/36864 + (252041*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/24576 - 
     (134861*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/36864 + (3821*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/12288 + 
     (26275*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/6144 + (203375*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/12288 - 
     (156149*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/12288 + (3395155*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/221184 + 
     (11989*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/3072 - (4587*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/1024 + 
     (3191405*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u])/
      147456 - (155447*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - u])/18432 - 
     (2899*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u])/1536 - 
     (44983*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]^2)/3072 + 
     (451043*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]^2)/36864 - 
     (59*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]^2)/3072 + 
     (479843*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]^2)/36864 + 
     (27721*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]^2)/3072 - 
     (353*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]^2)/1024 - 
     (11*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]^2)/64 + 
     (973*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]^2)/1536 - 
     (9*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]^2)/512 + 
     (17969*HPL[{1}, 1 - u]^5*HPL[{0, 0, 1}, 1 - v])/55296 - 
     (107219*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/
      110592 - (283681*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - v])/221184 - (31603*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v])/55296 - 
     (13033*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - v])/4608 - 
     (2741*HPL[{1}, 1 - v]^5*HPL[{0, 0, 1}, 1 - v])/4608 + 
     (51211*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/110592 + 
     (64913*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/110592 + (8353255*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/442368 - 
     (29735*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/3072 - (2971*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/1152 - (35485*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v])/27648 + 
     (13502989*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - v])/221184 + (4268965*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v])/442368 + 
     (175115*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v])/
      55296 - (417869*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 1}, 1 - v])/221184 + 
     (276295*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 1}, 1 - v])/55296 - (255785*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v])/110592 - 
     (85183*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - v])/221184 - 
     (141775*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - v])/
      221184 + (4889*HPL[{1}, 1 - w]^5*HPL[{0, 0, 1}, 1 - v])/55296 + 
     (33089*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/
      110592 + (2260357*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/221184 + (3084439*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/221184 + 
     (108607*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/
      13824 - (112207*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/27648 + (344485*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/24576 + 
     (3000103*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/55296 + 
     (15343*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/3456 - (5255663*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/221184 - 
     (373409*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/
      55296 - (1253*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 0, 1}, 1 - v])/512 + (1208639*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v])/49152 - 
     (70723*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v])/
      9216 - (563477*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v])/73728 + (341777*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/36864 + 
     (325387*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v])/73728 - (172601*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/18432 - 
     (9785*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v])/2304 + (165631*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/4096 + 
     (321931*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v])/73728 - (9005*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/36864 - 
     (11779*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v])/36864 - (269231*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/73728 - 
     (191941*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v])/12288 + 
     (32131*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v])/6144 + (534595*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/36864 + 
     (14303*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v])/
      1536 + (28039*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - v])/6144 + (14267*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v])/1536 - 
     (579377*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/
      55296 - (4156907*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/221184 + (6265085*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/110592 + 
     (211793*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/
      27648 + (300779*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/110592 + 
     (897379*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/73728 + 
     (1141285*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/221184 - 
     (278113*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/110592 + (2659549*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/221184 - 
     (17071*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/
      110592 - (73003*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/18432 + (3070735*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/221184 + 
     (15767*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/6144 + (829705*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/36864 + 
     (32899*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/6144 - (94627*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/12288 - 
     (11219*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v])/
      9216 + (4316533*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - v])/147456 - 
     (1233*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v])/512 + 
     (196345*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/
      12288 - (141073*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/18432 + (66155*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/4096 - 
     (31137197*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/442368 - (31320365*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/442368 - 
     (807163*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/
      27648 - (17581*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v])/6144 - (15461*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/6144 + 
     (1521191*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/
      18432 - (589*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]^2)/3072 + 
     (466307*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]^2)/36864 - 
     (44983*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]^2)/3072 + 
     (27721*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]^2)/3072 + 
     (464579*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]^2)/36864 - 
     (529*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]^2)/3072 + 
     (443*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]^2)/1536 - 
     (11*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]^2)/64 + 
     (503*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]^2)/1536 - 
     (421*HPL[{1}, 1 - u]^5*HPL[{0, 0, 1}, 1 - w])/9216 + 
     (16213*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/24576 - 
     (171269*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w])/
      55296 - (7427*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
       HPL[{0, 0, 1}, 1 - w])/3456 + (389137*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^4*HPL[{0, 0, 1}, 1 - w])/221184 + 
     (5297*HPL[{1}, 1 - v]^5*HPL[{0, 0, 1}, 1 - w])/27648 + 
     (8603*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/73728 + 
     (119839*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/55296 + (1817375*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/27648 - 
     (314545*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/110592 - (33293*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/221184 - 
     (94837*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w])/
      24576 + (189345*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - w])/16384 + (9124421*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w])/442368 - 
     (46811*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w])/
      13824 + (13615*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 1}, 1 - w])/3072 - (1671*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w])/128 + 
     (21271*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w])/
      13824 - (991*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - w])/
      384 - (13025*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 0, 1}, 1 - w])/
      4608 - (2741*HPL[{1}, 1 - w]^5*HPL[{0, 0, 1}, 1 - w])/4608 - 
     (5257*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/
      36864 - (66601*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w])/36864 - (563*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/4608 - 
     (13421*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/
      1536 + (866477*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w])/73728 + (1191379*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w])/73728 - (1668893*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/73728 + 
     (127039*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w])/24576 + (527519*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/9216 + 
     (23255*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/
      3072 - (2839*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 0, 1}, 1 - w])/1536 - 
     (243*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w])/64 + 
     (4150381*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w])/
      147456 - (301735*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/55296 + (60253*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/27648 - 
     (285953*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/110592 + (19069*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/110592 - 
     (5816305*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/221184 + 
     (418789*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/24576 + 
     (2180153*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/221184 + (5849053*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/110592 + 
     (3254393*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/221184 + 
     (3433*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/432 + 
     (7317*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/2048 - (14825*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/18432 + 
     (3732535*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/221184 - 
     (93055*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w])/
      9216 - (3329*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - w])/1536 + (3350869*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w])/147456 - 
     (26237*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/
      8192 - (8225*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/9216 - (56575*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/12288 - 
     (522455*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/
      73728 - (47407*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/36864 + (526541*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/12288 + 
     (288461*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/36864 + (346699*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/73728 + 
     (300619*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/73728 - (172601*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/18432 - 
     (232735*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/36864 + (781915*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/36864 + 
     (27043*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/6144 + (508265*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/36864 - 
     (184283*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/12288 + 
     (37987*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/6144 + (14549*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w])/1536 + 
     (14021*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w])/
      1536 + (28039*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - w])/6144 + (200345*HPL[{1}, 1 - u]^2*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/12288 - 
     (30995501*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w])/442368 - (819853*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/27648 - 
     (161377*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w])/18432 - (30974765*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/442368 + 
     (200105*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/
      12288 - (4527*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w])/2048 + (1504271*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/18432 - 
     (4607*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/
      2048 - (807163*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/27648 - (31299629*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/442368 + 
     (66075*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/
      4096 - (31157933*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/442368 - 
     (141073*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/18432 + (196585*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/12288 + 
     (1521191*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/
      18432 - (15701*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/6144 - (17341*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/6144 - 
     (333*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]^2)/1024 + 
     (27721*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]^2)/3072 - 
     (119*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]^2)/3072 + 
     (478115*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]^2)/36864 + 
     (452771*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]^2)/36864 - 
     (44983*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]^2)/3072 + 
     (11*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]^2)/512 + 
     (913*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]^2)/1536 - 
     (11*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]^2)/64 - 
     (12343*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/18432 - 
     (39875*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u])/
      55296 - (1270903*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
       HPL[{0, 1, 1}, 1 - u])/110592 - 
     (132937*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - u])/
      110592 - (16697*HPL[{1}, 1 - v]^5*HPL[{0, 1, 1}, 1 - u])/55296 + 
     (1351*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/6144 - 
     (80303*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/18432 - (5259143*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/221184 + 
     (1878907*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/221184 + (24511*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/110592 - 
     (931*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u])/1536 - 
     (1333769*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - u])/36864 + (2570135*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u])/110592 + 
     (1241701*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u])/
      73728 - (498259*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
       HPL[{0, 1, 1}, 1 - u])/73728 + (1565269*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u])/221184 + 
     (1304459*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u])/
      73728 + (14623*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - u])/
      12288 + (13267*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - u])/
      13824 - (229*HPL[{1}, 1 - w]^5*HPL[{0, 1, 1}, 1 - u])/1152 - 
     (1421*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/2304 - 
     (225125*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/36864 + (581587*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/24576 + 
     (4529209*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/
      221184 - (251621*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/36864 + (520355*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/6144 + 
     (125371*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/8192 + (153689*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/8192 + 
     (991319*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/73728 + (4022461*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/221184 + 
     (89*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u])/256 + 
     (85631*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u])/
      6144 + (80315*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1, 1}, 1 - u])/6144 + (76249*HPL[{1}, 1 - u]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/27648 + 
     (2257247*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/221184 + (9063815*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/221184 - 
     (1445485*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/
      110592 - (1621129*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/55296 + (1816853*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/73728 + (1652929*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/27648 + 
     (6703577*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/221184 + (5338433*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/221184 - 
     (323413*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/
      27648 - (382007*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/18432 + (866365*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/36864 + 
     (828737*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/36864 - (134509*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u])/4096 + 
     (378115*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u])/
      73728 - (918545*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1, 1}, 1 - u])/73728 + (3443*HPL[{1}, 1 - u]^3*
       HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/9216 - 
     (639931*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/36864 + (1947923*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/73728 - 
     (66077*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/
      6912 + (101779*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/73728 + (2850337*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/73728 + (1346399*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/73728 + 
     (168837*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/8192 + (936731*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/18432 - 
     (1518881*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/
      110592 - (281579*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/18432 + (1349413*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/36864 + 
     (141121*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/4096 - (755215*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/4608 - 
     (794027*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/18432 - (248771*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/18432 + 
     (42787*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u])/
      36864 + (897295*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - u])/73728 + (310627*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u])/73728 - 
     (415*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/
      768 + (384235*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/12288 + (23245*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/2304 + 
     (353371*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/12288 - (1173757*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/9216 + 
     (96625*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/
      9216 - (533*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/384 + (62915*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/9216 + 
     (99005*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/
      9216 + (130651*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/18432 - (39439*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/6144 - 
     (96901*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/
      18432 + (2243*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/6144 + (2315551*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/36864 - 
     (8131*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/
      36864 - (111791*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/9216 + (62711*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/6144 + 
     (81005*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/
      6144 + (117361*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/18432 + (275*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/6144 + 
     (13529*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/
      36864 - (26839*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/6144 + (2251759*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/36864 - 
     (94441*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/
      18432 - (125081*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/9216 + (96097*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/6144 + 
     (56479*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/
      6144 - (3*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]^2)/16 - 
     (4821*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]^2)/2048 - 
     (17503*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]^2)/4608 - 
     (1277*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]^2)/2048 + 
     (306143*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]^2)/9216 - 
     (28361*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]^2)/9216 - 
     (1637*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]^2)/1536 + 
     (31633*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]^2)/1152 + 
     (101281*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]^2)/4608 - 
     (3577*HPL[{1}, 1 - u]^5*HPL[{0, 1, 1}, 1 - v])/55296 + 
     (51649*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/110592 - 
     (872837*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v])/
      110592 + (126881*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
       HPL[{0, 1, 1}, 1 - v])/55296 - (1847*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*
       HPL[{0, 1, 1}, 1 - v])/18432 + (1207*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/2304 + (1262725*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/221184 - 
     (7337629*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/221184 - 
     (115577*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/18432 - (6443*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/18432 + (332287*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v])/18432 + 
     (5702227*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - v])/221184 - (3001307*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v])/110592 - 
     (47225*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v])/
      27648 + (1279457*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
       HPL[{0, 1, 1}, 1 - v])/73728 + (1588711*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v])/221184 - 
     (2212423*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v])/
      221184 - (23911*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*
       HPL[{0, 1, 1}, 1 - v])/73728 - 
     (75175*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - v])/221184 - 
     (16657*HPL[{1}, 1 - w]^5*HPL[{0, 1, 1}, 1 - v])/55296 - 
     (554183*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      36864 + (6471931*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/221184 - (1151657*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/221184 + 
     (34097*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      27648 + (6038861*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/110592 + (2983321*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/73728 - (338225*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/13824 + 
     (3194731*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/221184 + (6734239*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/221184 - 
     (363917*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      36864 + (467491*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1, 1}, 1 - v])/73728 - (355633*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v])/36864 + 
     (655747*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v])/
      73728 + (3808837*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/221184 + (1199161*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/73728 - 
     (239237*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/36864 - (1421*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/2304 + 
     (305263*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/24576 + (521761*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/6144 - 
     (237509*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/36864 + (403633*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/24576 + 
     (1911929*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/73728 + (4721743*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/221184 + 
     (1625441*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/36864 - (107333*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/6144 + 
     (1636427*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/36864 + 
     (82207*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v])/
      6144 + (89*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v])/
      256 + (27913*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1, 1}, 1 - v])/2048 - (412489*HPL[{1}, 1 - u]^3*
       HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/36864 + 
     (4901011*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/221184 - (1980697*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/110592 + 
     (52481*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/
      27648 + (4625401*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/221184 + (1904813*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/73728 + (2763133*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/221184 + 
     (111095*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/1728 + (7399747*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/221184 - 
     (162397*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/
      12288 - (64693*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/4608 - (972709*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/6144 - 
     (90845*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/2304 + (515009*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/36864 - 
     (341587*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/18432 + (537727*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/36864 - 
     (1141357*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v])/
      73728 - (339209*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - v])/12288 + (456547*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v])/73728 - 
     (100081*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      18432 - (35135*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/6144 + (40697*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/6144 + 
     (2274463*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/36864 + (4787*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/6144 + 
     (15349*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      36864 + (23589*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/2048 - (40117*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/3072 + 
     (235967*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      18432 + (5315*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/512 + (121817*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/4096 - 
     (415*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/
      768 - (1173757*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/9216 + (372155*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/12288 + 
     (93935*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/
      9216 + (27853*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/3072 - (533*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/384 + 
     (78361*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/
      9216 + (2323*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/12288 + (4499*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/6144 + 
     (125921*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/
      18432 + (2292847*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/36864 - (12637*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/2048 - 
     (99721*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/
      18432 + (231043*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/18432 - (116521*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/9216 + 
     (23285*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/
      2048 + (89613*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/4096 - (2011*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/24 + 
     (789397*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      36864 - (5244955*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/36864 - (5286043*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/36864 + 
     (106259*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      12288 - (2163179*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/12288 - (6359425*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/36864 - 
     (4465307*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v])/
      18432 - (1707*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]^2)/512 - 
     (7615*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]^2)/6144 - 
     (3*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]^2)/16 + 
     (306143*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]^2)/9216 - 
     (10679*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]^2)/6144 - 
     (32641*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]^2)/9216 + 
     (3063*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]^2)/128 - 
     (1637*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]^2)/1536 + 
     (117545*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]^2)/4608 - 
     (1003*HPL[{1}, 1 - u]^5*HPL[{0, 1, 1}, 1 - w])/2304 + 
     (159367*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/
      221184 + (33155*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 1}, 1 - w])/2048 + (315535*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w])/18432 + 
     (402587*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{0, 1, 1}, 1 - w])/
      221184 - (1369*HPL[{1}, 1 - v]^5*HPL[{0, 1, 1}, 1 - w])/6912 - 
     (5551*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/24576 + 
     (2214535*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/221184 + (2126363*HPL[{1}, 1 - u]^2*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/110592 + 
     (2021641*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/221184 + (142843*HPL[{1}, 1 - v]^4*
       HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/221184 - 
     (350207*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w])/
      36864 - (2014553*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - w])/73728 - (3740851*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w])/110592 - 
     (1671737*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w])/
      221184 - (55669*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
       HPL[{0, 1, 1}, 1 - w])/18432 - (53363*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w])/18432 + 
     (3199*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w])/13824 - 
     (2137*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - w])/6144 - 
     (1879*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*HPL[{0, 1, 1}, 1 - w])/18432 - 
     (1317905*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/
      110592 + (1013185*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/18432 + (249737*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/8192 - 
     (1196201*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/
      110592 + (2237135*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/73728 + (1610813*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/73728 + (243605*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/8192 + 
     (381127*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/24576 - (429787*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/18432 + 
     (17395*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/
      9216 + (299683*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1, 1}, 1 - w])/73728 - 
     (40717*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w])/
      8192 - (295295*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1, 1}, 1 - w])/12288 - (1081195*HPL[{1}, 1 - u]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/110592 + 
     (4919747*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/221184 + 
     (150797*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/3456 - (1534969*HPL[{1}, 1 - v]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/110592 + 
     (8287901*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/221184 + (2760409*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/73728 + (5481023*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/221184 - 
     (2892761*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/110592 - 
     (248695*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/221184 + (34393*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/27648 - 
     (35213*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/768 - (71999*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/3072 - 
     (3127697*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/18432 + (1282435*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w])/73728 + 
     (389059*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w])/
      73728 - (22745*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1, 1}, 1 - w])/12288 + (4801885*HPL[{1}, 1 - u]^3*
       HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/221184 + 
     (387703*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/24576 + (889459*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/73728 + 
     (3951055*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/
      221184 + (1964929*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/73728 + (168979*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/2048 + 
     (1324049*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/73728 - (249893*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/36864 - 
     (226853*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/36864 - (1421*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/2304 + 
     (439081*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/36864 + (696611*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/36864 - 
     (107561*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/6144 + (578827*HPL[{1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/12288 + 
     (1442431*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/36864 - (340903*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/18432 + 
     (83803*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w])/
      6144 + (27381*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - w])/2048 + (89*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - w])/256 - (94081*HPL[{1}, 1 - u]^2*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/18432 + 
     (2293615*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/36864 - (4631*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/36864 - 
     (33527*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/6144 - (13*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/6144 + 
     (14009*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/
      2048 + (55567*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/6144 + (273587*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/18432 - 
     (12929*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/
      1024 + (3343*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/12288 + (2273695*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/36864 - 
     (97261*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/
      18432 + (2531*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/6144 - (10917*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/2048 + 
     (121931*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/
      18432 + (257719*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/18432 + (63623*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/6144 - 
     (120511*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/
      9216 + (30815*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/3072 - (1173757*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/9216 + 
     (12145*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/
      1152 + (122633*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/4096 + (369707*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/12288 - 
     (415*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/
      768 + (29639*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/3072 + (73003*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/9216 - 
     (533*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/
      384 + (259979*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/12288 - (5264107*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/36864 + 
     (112459*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/
      12288 - (32641*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/384 - (5222251*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/36864 + 
     (797377*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/
      36864 - (2095843*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w])/12288 - (4535987*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/18432 - 
     (6420073*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/
      36864 + (109519*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/12288 - (5244187*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/36864 + 
     (797057*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/
      36864 - (5263339*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/36864 - (64841*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/768 + 
     (789077*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/
      36864 - (4502471*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w])/18432 - (6417641*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/36864 - 
     (6356993*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/
      36864 - (10907*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]^2)/3072 + 
     (306143*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]^2)/9216 - 
     (15323*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]^2)/4608 - 
     (10807*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]^2)/6144 - 
     (7487*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]^2)/6144 - 
     (3*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]^2)/16 + 
     (39283*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]^2)/1536 + 
     (27491*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]^2)/1152 - 
     (1637*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]^2)/1536 - 
     (2429*HPL[{1}, 1 - u]^4*HPL[{0, 0, 0, 1}, 1 - u])/4608 - 
     (66365*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/
      18432 - (393397*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 0, 1}, 1 - u])/18432 - 
     (25271*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - u])/
      4096 - (1975*HPL[{1}, 1 - v]^4*HPL[{0, 0, 0, 1}, 1 - u])/9216 - 
     (49969*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      18432 + (3042689*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/36864 + 
     (227281*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/8192 - 
     (55841*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      18432 - (8377*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 1}, 1 - u])/384 + (1145537*HPL[{1}, 1 - u]*
       HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u])/73728 + 
     (85493*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u])/
      12288 - (37711*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 0, 1}, 1 - u])/36864 - 
     (27755*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - u])/
      18432 + (307*HPL[{1}, 1 - w]^4*HPL[{0, 0, 0, 1}, 1 - u])/9216 - 
     (54571*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u])/
      6144 - (320933*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - u])/18432 - 
     (433*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u])/
      768 - (334181*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - u])/18432 + 
     (11185*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - u])/1024 - 
     (7717*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u])/
      1536 + (28507*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - u])/6144 + 
     (20045*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/
      2048 + (37879*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - u])/1536 - 
     (46607*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/
      3072 + (127651*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - u])/6144 + 
     (27137*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - u])/1024 - 
     (137927*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/
      6144 - (1525*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - u])/512 - (6685*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 0, 0, 1}, 1 - u])/3072 + 
     (20045*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      2048 + (191939*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/6144 - 
     (88463*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      6144 + (7269*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/512 + (18597*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/1024 - 
     (45719*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      3072 - (1525*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/512 - (10895*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/512 - 
     (6685*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u])/3072 - 
     (44095*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u])/
      1536 - (1943*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - u])/384 - 
     (2243*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u])/
      384 + (14057*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - u])/1024 - 
     (1871*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/
      768 - (48061*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - u])/3072 + 
     (14057*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      1024 - (49045*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/3072 - 
     (1625*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      768 - (865*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - u])/768 - 
     (771*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u])/
      512 + (115*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - u])/512 - 
     (73813*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/
      3072 + (41851*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - u])/1536 + 
     (1983*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/
      1024 - (73813*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/3072 + 
     (1451*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/
      1024 + (42649*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u])/1536 - (44587*HPL[{0, 0, 0, 1}, 1 - u]^2)/
      3072 + (1091*HPL[{1}, 1 - u]^4*HPL[{0, 0, 0, 1}, 1 - v])/3072 - 
     (130151*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/
      36864 - (344753*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 0, 1}, 1 - v])/18432 - 
     (18623*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 1 - v])/
      6144 - (2429*HPL[{1}, 1 - v]^4*HPL[{0, 0, 0, 1}, 1 - v])/4608 - 
     (52967*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/
      18432 + (1330417*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v])/73728 + 
     (2972141*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v])/36864 - 
     (20155*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/
      6144 + (38149*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 1}, 1 - v])/4096 + 
     (1893277*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 1}, 1 - v])/73728 - 
     (207733*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v])/
      9216 - (10003*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 0, 1}, 1 - v])/2304 - 
     (151313*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 1 - v])/
      36864 - (653*HPL[{1}, 1 - w]^4*HPL[{0, 0, 0, 1}, 1 - v])/3072 - 
     (47783*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/
      3072 + (6725*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - v])/384 + (20045*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/2048 + 
     (5111*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - v])/256 + (57189*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/2048 - 
     (95417*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/
      6144 - (6685*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - v])/3072 - 
     (11845*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/
      1536 - (327989*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - v])/18432 - 
     (54571*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/
      6144 + (17129*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - v])/1536 - 
     (327125*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - v])/18432 + 
     (5821*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/
      3072 - (1525*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - v])/512 + (28507*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 0, 0, 1}, 1 - v])/6144 - 
     (47731*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/
      2048 + (137209*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v])/6144 + 
     (20045*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/
      2048 + (21269*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v])/768 + (70979*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/3072 - 
     (47639*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/
      3072 - (10895*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v])/512 - (1525*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/512 - 
     (6685*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v])/3072 - 
     (2189*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/
      768 + (14057*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - v])/1024 - 
     (46789*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/
      3072 - (1051*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - v])/192 - 
     (44095*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/
      1536 - (521*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - v])/96 - 
     (46933*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/
      3072 + (14057*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v])/1024 - 
     (2153*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/
      768 + (14521*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - v])/512 - 
     (73813*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/
      3072 + (2525*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - v])/3072 - 
     (601*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/
      1536 - (865*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - v])/768 - 
     (1367*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/
      1536 + (6013*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v])/3072 - 
     (73813*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/
      3072 + (41819*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v])/1536 - (3635*HPL[{0, 0, 0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - v])/1536 - (44587*HPL[{0, 0, 0, 1}, 1 - v]^2)/
      3072 - (4925*HPL[{1}, 1 - u]^4*HPL[{0, 0, 0, 1}, 1 - w])/9216 - 
     (871*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/576 + 
     (15135*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - w])/
      4096 + (2569*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1}, 
        1 - w])/4608 + (323*HPL[{1}, 1 - v]^4*HPL[{0, 0, 0, 1}, 1 - w])/
      9216 - (112753*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/36864 + 
     (1816157*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/73728 + 
     (414047*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/24576 - 
     (9557*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/4096 - 
     (146539*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w])/
      6144 + (3096569*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 1}, 1 - w])/36864 - 
     (11963*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w])/
      576 - (60433*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1}, 
        1 - w])/18432 - (55901*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 0, 1}, 1 - w])/18432 - 
     (2429*HPL[{1}, 1 - w]^4*HPL[{0, 0, 0, 1}, 1 - w])/4608 - 
     (45575*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w])/
      3072 + (36413*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - w])/1536 - 
     (122821*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w])/
      6144 + (33751*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - w])/1536 + 
     (144163*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - w])/6144 + 
     (20045*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w])/
      2048 - (6685*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - w])/3072 - 
     (78905*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/
      6144 + (4337*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w])/256 - (46751*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/3072 + 
     (186673*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w])/6144 + 
     (46247*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w])/3072 + 
     (20045*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/
      2048 - (10895*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w])/512 - (6685*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 0, 0, 1}, 1 - w])/3072 + 
     (1409*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/
      512 + (13423*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/1536 - 
     (18911*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/
      3072 - (333317*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/18432 - 
     (321797*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/18432 - 
     (54571*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/
      6144 - (1525*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/512 - (1525*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/512 + 
     (28507*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w])/6144 - 
     (1589*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w])/
      768 - (49189*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - w])/3072 + 
     (14057*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w])/
      1024 - (47917*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w])/3072 - 
     (1907*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/
      768 + (14057*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w])/1024 - 
     (2225*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/
      384 - (1961*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/384 - 
     (44095*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/
      1536 + (13635*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - w])/512 + 
     (7841*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w])/
      3072 - (73813*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - w])/3072 + 
     (4417*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/
      3072 + (42617*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w])/1536 - 
     (73813*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/
      3072 - (1399*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/1536 - 
     (569*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/
      1536 - (865*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w])/768 - (3635*HPL[{0, 0, 0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - w])/1536 - (3635*HPL[{0, 0, 0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1}, 1 - w])/1536 - (44587*HPL[{0, 0, 0, 1}, 1 - w]^2)/
      3072 - (455*HPL[{1}, 1 - u]^4*HPL[{0, 0, 1, 1}, 1 - u])/1536 - 
     (18955*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/
      9216 - (26395*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1, 1}, 1 - u])/6144 - 
     (162751*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1}, 1 - u])/
      18432 - (139*HPL[{1}, 1 - v]^4*HPL[{0, 0, 1, 1}, 1 - u])/1536 + 
     (7345*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/3072 + 
     (4013075*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/73728 + 
     (613533*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/8192 - 
     (357845*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      55296 - (15335*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 1}, 1 - u])/2304 + 
     (1021837*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 1}, 1 - u])/73728 + 
     (51515*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u])/
      4608 + (311569*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 1, 1}, 1 - u])/18432 + 
     (63445*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - u])/
      55296 + (661*HPL[{1}, 1 - w]^4*HPL[{0, 0, 1, 1}, 1 - u])/576 + 
     (121*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/
      256 + (102485*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - u])/9216 + 
     (24329*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/
      3072 + (69365*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - u])/9216 + 
     (2448689*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - u])/36864 - 
     (14727*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/
      1024 + (27*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - u])/256 + 
     (64429*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/
      6144 + (423451*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - u])/4608 + 
     (4547*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/
      768 - (48127*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - u])/2048 - (725*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/768 - 
     (17023*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/
      768 + (5479*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - u])/3072 - (1641*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 0, 1, 1}, 1 - u])/2048 + 
     (64429*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      6144 + (177059*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/6144 + 
     (3473*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      192 + (182371*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/4608 - 
     (16375*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/384 + 
     (5657*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      768 + (5479*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/3072 - 
     (83*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      128 - (1641*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u])/2048 + 
     (41*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/32 + 
     (201*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/
      128 - (299*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - u])/128 + 
     (6263*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/
      1024 + (431*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - u])/256 + 
     (537*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/
      512 + (6263*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/1024 - 
     (283*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      512 + (841*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/256 - 
     (239*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/
      768 - (1571*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - u])/384 + 
     (3503*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/
      768 - (1223767*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - u])/9216 - 
     (5593*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/
      512 + (19615*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - u])/1536 - 
     (1223767*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      9216 + (15625*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u])/1536 - 
     (4263*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/
      512 + (11*HPL[{0, 0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/64 + 
     (475*HPL[{0, 0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/256 + 
     (475*HPL[{0, 0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/256 - 
     HPL[{0, 0, 1, 1}, 1 - u]^2/64 + (12703*HPL[{1}, 1 - u]^4*
       HPL[{0, 0, 1, 1}, 1 - v])/4608 + 
     (8941*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v])/2048 + 
     (164035*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - v])/
      18432 + (7285*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
       HPL[{0, 0, 1, 1}, 1 - v])/9216 - 
     (455*HPL[{1}, 1 - v]^4*HPL[{0, 0, 1, 1}, 1 - v])/1536 - 
     (314735*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/
      55296 + (1946237*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/73728 + 
     (3307595*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/73728 - 
     (4205*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/9216 + 
     (423215*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v])/
      18432 + (4760537*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 1}, 1 - v])/73728 - 
     (94765*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v])/
      9216 - (360295*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 1, 1}, 1 - v])/27648 + 
     (2297*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - v])/1536 - 
     (377*HPL[{1}, 1 - w]^4*HPL[{0, 0, 1, 1}, 1 - v])/4608 + 
     (3077*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/
      768 + (129383*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - v])/2304 + 
     (64429*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/
      6144 - (103295*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - v])/3072 + 
     (75199*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - v])/6144 + 
     (38183*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/
      3072 - (1641*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - v])/2048 - 
     (28487*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v])/
      1024 + (84845*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - v])/9216 + 
     (121*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v])/
      256 + (2490869*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - v])/36864 + 
     (87005*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - v])/9216 + 
     (10349*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v])/
      512 + (5479*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - v])/3072 + 
     (27*HPL[{0, 1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - v])/256 - 
     (81257*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/
      3072 - (32197*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/2048 + 
     (64429*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/
      6144 + (15425*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/3072 + 
     (775217*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/9216 + 
     (3257*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/
      768 - (83*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/128 + (5479*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/3072 - 
     (1641*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v])/2048 - 
     (99*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/
      256 + (6263*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - v])/1024 + 
     (1597*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/
      512 - (HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v])/
      2 + (41*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v])/
      32 - (17*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 
        1 - v])/64 + (1477*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/512 + 
     (6263*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/
      1024 - (39*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/256 - 
     (8219*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/
      1536 - (1223767*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - v])/9216 + 
     (3685*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/
      512 + (569*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - v])/384 - 
     (239*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v])/
      768 - (259*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - v])/256 + 
     (19775*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/
      1536 - (1223767*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v])/9216 - 
     (16939*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/
      1536 + (475*HPL[{0, 0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/256 + 
     (11*HPL[{0, 0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v])/64 + 
     (475*HPL[{0, 0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/256 - 
     (1367225*HPL[{0, 0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/18432 - 
     HPL[{0, 0, 1, 1}, 1 - v]^2/64 - (487*HPL[{1}, 1 - u]^4*
       HPL[{0, 0, 1, 1}, 1 - w])/288 + (30845*HPL[{1}, 1 - u]^3*
       HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/27648 - 
     (11825*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - w])/
      2304 + (316955*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
       HPL[{0, 0, 1, 1}, 1 - w])/27648 + 
     (37*HPL[{1}, 1 - v]^4*HPL[{0, 0, 1, 1}, 1 - w])/32 + 
     (30991*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/
      4608 + (4374937*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/73728 + 
     (501619*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/24576 + 
     (95407*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/
      9216 - (310285*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 1}, 1 - w])/18432 + 
     (4551875*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 1}, 1 - w])/73728 - 
     (365*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w])/256 - 
     (1375*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - w])/3072 + 
     (7205*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1}, 1 - w])/9216 - 
     (455*HPL[{1}, 1 - w]^4*HPL[{0, 0, 1, 1}, 1 - w])/1536 + 
     (5837*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w])/
      768 - (15275*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - w])/1024 - 
     (10109*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w])/
      1024 + (361531*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - w])/4608 - 
     (20607*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - w])/2048 + 
     (64429*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w])/
      6144 - (1641*HPL[{0, 1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - w])/2048 + 
     (79463*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/
      3072 - (149735*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/3072 + 
     (4367*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/
      768 + (50243*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/2048 + 
     (404237*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/9216 + 
     (64429*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/
      6144 - (83*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/128 - (1641*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 0, 1, 1}, 1 - w])/2048 + 
     (75259*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/
      3072 + (2046149*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/36864 - 
     (10261*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/
      512 + (71525*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/9216 + 
     (100325*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/9216 + 
     (121*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/
      256 + (5479*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/3072 + 
     (5479*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/
      3072 + (27*HPL[{0, 1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w])/256 + 
     (901*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w])/
      256 - (403*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - w])/512 + 
     (6263*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w])/
      1024 + (657*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/512 + 
     (371*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/
      256 + (6263*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/1024 - 
     (269*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/
      128 + (171*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/128 + 
     (41*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/32 - 
     (21509*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w])/
      1536 + (8115*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - w])/512 - (1223767*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w])/9216 + 
     (15785*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/
      1536 - (12949*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/1536 - 
     (1223767*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/
      9216 - (857*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/768 + 
     (203*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/
      128 - (239*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/768 + (475*HPL[{0, 0, 0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - w])/256 + (475*HPL[{0, 0, 0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/256 + (11*HPL[{0, 0, 0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w])/64 - (1367225*HPL[{0, 0, 1, 1}, 1 - u]*
       HPL[{0, 0, 1, 1}, 1 - w])/18432 - (1367225*HPL[{0, 0, 1, 1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - w])/18432 - HPL[{0, 0, 1, 1}, 1 - w]^2/64 + 
     (2935*HPL[{1}, 1 - u]^4*HPL[{0, 1, 1, 1}, 1 - u])/3072 + 
     (18759*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/
      4096 + (89527*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 1, 1}, 1 - u])/24576 + 
     (4231*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - u])/512 + 
     (5911*HPL[{1}, 1 - v]^4*HPL[{0, 1, 1, 1}, 1 - u])/2048 + 
     (23485*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/
      12288 - (139673*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/12288 - 
     (206321*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/6144 + 
     (54593*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/
      8192 + (41441*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1, 1}, 1 - u])/8192 + 
     (18677*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1, 1}, 1 - u])/6144 - (6254881*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u])/147456 - 
     (11023*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - u])/
      1536 + (17145*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1, 1, 1}, 1 - u])/8192 + 
     (13169*HPL[{1}, 1 - w]^4*HPL[{0, 1, 1, 1}, 1 - u])/6144 + 
     (50059*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u])/
      4096 - (37051*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u])/3072 - 
     (465435*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u])/
      8192 - (30427*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u])/3072 - 
     (4379267*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u])/24576 - 
     (355819*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u])/
      8192 - (25915*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - u])/4096 - 
     (287105*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/
      12288 - (324065*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/6144 + (1902157*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/12288 - 
     (100987*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/6144 - 
     (1935283*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/24576 + 
     (80527*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/
      1536 + (11147*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/1024 + (82631*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1, 1, 1}, 1 - u])/2048 - 
     (287105*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/
      12288 - (293851*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/6144 + 
     (43429*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/
      1536 - (131201*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/6144 - 
     (1320403*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/24576 + 
     (1891501*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/
      12288 + (11147*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/1024 - (2272879*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/12288 + 
     (82631*HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u])/2048 + 
     (41759*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u])/
      1024 - (2423*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u])/128 - 
     (2123*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u])/
      128 - (39513*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/2048 - 
     (30311*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/
      512 + (111721*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/6144 - 
     (39513*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/
      2048 + (117625*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/6144 - 
     (30803*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/
      512 + (1441*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u])/512 + 
     (4345*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u])/
      1024 - (971*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u])/1024 + 
     (81941*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/
      3072 + (366343*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/6144 + 
     (3506677*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/
      36864 + (81941*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/3072 + 
     (3564133*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/
      36864 + (356767*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/6144 + (43163*HPL[{0, 0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u])/1024 + (929*HPL[{0, 0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/256 + (929*HPL[{0, 0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/256 - (159*HPL[{0, 0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - u])/128 - (1293*HPL[{0, 0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u])/512 - (1293*HPL[{0, 0, 1, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u])/512 - (120401*HPL[{0, 1, 1, 1}, 1 - u]^2)/
      4096 + (7237*HPL[{1}, 1 - u]^4*HPL[{0, 1, 1, 1}, 1 - v])/6144 + 
     (133*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/384 - 
     (105049*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - v])/
      24576 + (35285*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
       HPL[{0, 1, 1, 1}, 1 - v])/12288 + 
     (2935*HPL[{1}, 1 - v]^4*HPL[{0, 1, 1, 1}, 1 - v])/3072 + 
     (50761*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/
      8192 - (9181*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/2048 - 
     (69125*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/12288 + 
     (44477*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/
      12288 - (7297225*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1, 1}, 1 - v])/147456 - 
     (28043*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1, 1}, 1 - v])/1024 + 
     (177803*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v])/
      24576 + (86837*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1, 1, 1}, 1 - v])/8192 + 
     (12709*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - v])/
      6144 + (17701*HPL[{1}, 1 - w]^4*HPL[{0, 1, 1, 1}, 1 - v])/6144 + 
     (1916269*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/
      12288 - (192317*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - v])/6144 - 
     (287105*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/
      12288 - (1453387*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - v])/24576 - 
     (232735*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - v])/6144 + 
     (97289*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/
      3072 + (82631*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - v])/2048 - 
     (289771*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/
      8192 - (33523*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v])/3072 + 
     (50059*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/
      4096 - (4396139*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v])/24576 - 
     (33955*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v])/3072 - 
     (525859*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/
      8192 + (11147*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v])/1024 - (25915*HPL[{0, 1}, 1 - v]^2*
       HPL[{0, 1, 1, 1}, 1 - v])/4096 + 
     (168953*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/
      3072 - (129661*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/6144 - 
     (287105*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/
      12288 - (2023243*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/24576 - 
     (295391*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/6144 + (1914541*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/12288 - 
     (2272879*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/
      12288 + (11147*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/1024 + (82631*HPL[{0, 1}, 1 - w]^2*
       HPL[{0, 1, 1, 1}, 1 - v])/2048 - 
     (29675*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/
      512 - (39513*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - v])/2048 + 
     (104089*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/
      6144 - (283*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v])/16 + 
     (41759*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/
      1024 - (1141*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v])/64 + (104953*HPL[{1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/6144 - 
     (39513*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/
      2048 - (29747*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/512 + 
     (345799*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/
      6144 + (81941*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - v])/3072 + 
     (3629941*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/
      36864 + (921*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v])/1024 + 
     (1441*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/
      512 + (2453*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - v])/1024 + 
     (3504373*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/
      36864 + (81941*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v])/3072 + 
     (366727*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/
      6144 + (929*HPL[{0, 0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/256 + 
     (43163*HPL[{0, 0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/1024 + 
     (929*HPL[{0, 0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/256 - 
     (1293*HPL[{0, 0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/512 - 
     (159*HPL[{0, 0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/128 - 
     (1293*HPL[{0, 0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/512 - 
     (176125*HPL[{0, 1, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/256 - 
     (120401*HPL[{0, 1, 1, 1}, 1 - v]^2)/4096 + 
     (23633*HPL[{1}, 1 - u]^4*HPL[{0, 1, 1, 1}, 1 - w])/6144 + 
     (17301*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/
      8192 - (4811713*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 1, 1}, 1 - w])/147456 - 
     (33563*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1}, 1 - w])/
      8192 + (4379*HPL[{1}, 1 - v]^4*HPL[{0, 1, 1, 1}, 1 - w])/2048 - 
     (6571*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/6144 - 
     (74489*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/3072 - 
     (2737*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/3072 - 
     (6647*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/2048 + 
     (91469*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w])/
      8192 - (193553*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1, 1}, 1 - w])/12288 + 
     (47203*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w])/
      24576 + (44413*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1, 1, 1}, 1 - w])/12288 + 
     (11783*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1}, 1 - w])/
      4096 + (2935*HPL[{1}, 1 - w]^4*HPL[{0, 1, 1, 1}, 1 - w])/3072 + 
     (1889773*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w])/
      12288 - (1729243*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/24576 + 
     (138395*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w])/
      3072 - (274529*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/6144 - 
     (150523*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/6144 - 
     (287105*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w])/
      12288 + (82631*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - w])/2048 + 
     (72521*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/
      3072 - (1230475*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/24576 + 
     (1903885*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/
      12288 - (278053*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/6144 - 
     (146999*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/6144 - 
     (287105*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/
      12288 - (2272879*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/12288 + 
     (82631*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - w])/2048 - 
     (546923*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/
      8192 - (4218251*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/24576 - 
     (328003*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/
      8192 - (30859*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/3072 - 
     (36619*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/3072 + 
     (50059*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/
      4096 + (11147*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/1024 + 
     (11147*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/
      1024 - (25915*HPL[{0, 1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w])/4096 - 
     (30875*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w])/
      512 + (118489*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/6144 - 
     (39513*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w])/
      2048 + (110857*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/6144 - 
     (30239*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/
      512 - (39513*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/2048 - 
     (2141*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/
      128 - (2405*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/128 + 
     (41759*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/
      1024 + (377695*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/6144 + 
     (3438565*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w])/
      36864 + (81941*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/3072 + 
     (3561829*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/
      36864 + (357151*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/6144 + 
     (81941*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/
      3072 + (2517*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/1024 + 
     (857*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/
      1024 + (1441*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/512 + (929*HPL[{0, 0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/256 + (929*HPL[{0, 0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/256 + (43163*HPL[{0, 0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/1024 - (1293*HPL[{0, 0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/512 - (1293*HPL[{0, 0, 1, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/512 - (159*HPL[{0, 0, 1, 1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w])/128 - (176125*HPL[{0, 1, 1, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - w])/256 - (176125*HPL[{0, 1, 1, 1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - w])/256 - (120401*HPL[{0, 1, 1, 1}, 1 - w]^2)/
      4096 - (47*HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 0, 1}, 1 - u])/4608 + 
     (103409*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u])/
      3072 + (162919*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 0, 0, 1}, 1 - u])/18432 - 
     (2537*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 0, 1}, 1 - u])/4608 + 
     (103409*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u])/
      3072 + (21899*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 0, 1}, 1 - u])/1536 - 
     (51053*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u])/
      18432 + (162919*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 0, 1}, 1 - u])/18432 - 
     (51053*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - u])/
      18432 - (2537*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 0, 1}, 1 - u])/4608 - 
     (151*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u])/
      128 + (2089*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 
        1 - u])/256 + (2089*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 0, 1}, 1 - u])/256 + 
     (1745*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u])/
      256 + (5*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 
        1 - u])/64 + (1979*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 0, 1}, 1 - u])/256 + 
     (1745*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u])/
      256 + (1979*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 
        1 - u])/256 + (5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 0, 1}, 1 - u])/64 + 
     (41*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u])/128 + 
     (13*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u])/32 + 
     (13*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u])/32 - 
     (997*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u])/768 - 
     (955*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u])/768 - 
     (955*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u])/768 - 
     (2537*HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 0, 1}, 1 - v])/4608 + 
     (162919*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      18432 + (103409*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 0, 0, 1}, 1 - v])/3072 - 
     (47*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 0, 1}, 1 - v])/4608 - 
     (51053*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      18432 + (21899*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 0, 1}, 1 - v])/1536 + 
     (103409*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      3072 - (51053*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 0, 1}, 1 - v])/18432 + 
     (162919*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      18432 - (2537*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 0, 1}, 1 - v])/4608 + 
     (5*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v])/64 + 
     (1745*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      256 + (1979*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 
        1 - v])/256 + (2089*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 0, 1}, 1 - v])/256 - 
     (151*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      128 + (2089*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 
        1 - v])/256 + (1979*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 0, 1}, 1 - v])/256 + 
     (1745*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      256 + (5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 
        1 - v])/64 + (13*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v])/
      32 + (41*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v])/128 + 
     (13*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v])/32 - 
     (955*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v])/768 - 
     (997*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v])/768 - 
     (955*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v])/768 - 
     (2537*HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 0, 1}, 1 - w])/4608 - 
     (51053*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w])/
      18432 - (51053*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 0, 0, 1}, 1 - w])/18432 - 
     (2537*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 0, 1}, 1 - w])/4608 + 
     (162919*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w])/
      18432 + (21899*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 0, 1}, 1 - w])/1536 + 
     (162919*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w])/
      18432 + (103409*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 0, 1}, 1 - w])/3072 + 
     (103409*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1}, 1 - w])/
      3072 - (47*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 0, 1}, 1 - w])/4608 + 
     (5*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w])/64 + 
     (1979*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w])/
      256 + (1745*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 
        1 - w])/256 + (1979*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 0, 1}, 1 - w])/256 + 
     (5*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w])/64 + 
     (1745*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w])/
      256 + (2089*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 
        1 - w])/256 + (2089*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 0, 1}, 1 - w])/256 - 
     (151*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w])/
      128 + (13*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w])/32 + 
     (13*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w])/32 + 
     (41*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w])/128 - 
     (955*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w])/768 - 
     (955*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w])/768 - 
     (997*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w])/768 + 
     (11947*HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1, 1}, 1 - u])/4608 + 
     (273899*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u])/
      4096 + (423391*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 0, 1, 1}, 1 - u])/18432 - 
     (91441*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1, 1}, 1 - u])/9216 + 
     (273899*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u])/
      4096 - (1071613*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1, 1}, 1 - u])/4608 + 
     (1775*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u])/
      36 + (423391*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 
        1 - u])/18432 + (1775*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 1, 1}, 1 - u])/36 - 
     (91441*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1, 1}, 1 - u])/9216 + 
     (63*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u])/
      128 - (10117*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1, 1}, 1 - u])/256 - 
     (10117*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u])/
      256 - (4627*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 
        1 - u])/96 + (2113*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1, 1}, 1 - u])/128 - 
     (7603*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u])/
      192 - (4627*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 
        1 - u])/96 - (7603*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1, 1}, 1 - u])/192 + 
     (2113*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u])/
      128 - (69*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u])/128 - 
     (47*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u])/512 - 
     (47*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u])/512 + 
     (4913*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u])/768 - 
     (16031*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u])/384 - 
     (16031*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u])/384 - 
     (91441*HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1, 1}, 1 - v])/9216 + 
     (423391*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v])/
      18432 + (273899*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 0, 1, 1}, 1 - v])/4096 + 
     (11947*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1, 1}, 1 - v])/4608 + 
     (1775*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v])/
      36 - (1071613*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1, 1}, 1 - v])/4608 + 
     (273899*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v])/
      4096 + (1775*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 
        1 - v])/36 + (423391*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 1, 1}, 1 - v])/18432 - 
     (91441*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1, 1}, 1 - v])/9216 + 
     (2113*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v])/
      128 - (4627*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 
        1 - v])/96 - (7603*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1, 1}, 1 - v])/192 - 
     (10117*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v])/
      256 + (63*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 
        1 - v])/128 - (10117*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1, 1}, 1 - v])/256 - 
     (7603*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v])/
      192 - (4627*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 
        1 - v])/96 + (2113*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1, 1}, 1 - v])/128 - 
     (47*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v])/512 - 
     (69*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v])/128 - 
     (47*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v])/512 - 
     (16031*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v])/384 + 
     (4913*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v])/768 - 
     (16031*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v])/384 - 
     (91441*HPL[{1}, 1 - u]^3*HPL[{0, 0, 0, 1, 1}, 1 - w])/9216 + 
     (1775*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      36 + (1775*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1}, 
        1 - w])/36 - (91441*HPL[{1}, 1 - v]^3*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      9216 + (423391*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1, 1}, 1 - w])/18432 - 
     (1071613*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1, 1}, 1 - w])/4608 + 
     (423391*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      18432 + (273899*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 0, 1, 1}, 1 - w])/4096 + 
     (273899*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      4096 + (11947*HPL[{1}, 1 - w]^3*HPL[{0, 0, 0, 1, 1}, 1 - w])/4608 + 
     (2113*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      128 - (7603*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 
        1 - w])/192 - (4627*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1, 1}, 1 - w])/96 - 
     (7603*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      192 + (2113*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 
        1 - w])/128 - (4627*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 0, 1, 1}, 1 - w])/96 - 
     (10117*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      256 - (10117*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 0, 1, 1}, 1 - w])/256 + 
     (63*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w])/
      128 - (47*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w])/512 - 
     (47*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w])/512 - 
     (69*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w])/128 - 
     (16031*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w])/384 - 
     (16031*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w])/384 + 
     (4913*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w])/768 + 
     (641*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 0, 1}, 1 - u])/384 + 
     (863575*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      24576 + (102427*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1, 0, 1}, 1 - u])/12288 - 
     (9543*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 0, 1}, 1 - u])/2048 + 
     (863575*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      24576 - (2081321*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 0, 1}, 1 - u])/24576 + 
     (119893*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      4608 + (102427*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 0, 1}, 1 - u])/12288 + 
     (119893*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      4608 - (9543*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 0, 1}, 1 - u])/2048 + 
     (53*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      256 - (148601*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 0, 1}, 1 - u])/6144 - 
     (148601*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      6144 - (41131*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 0, 1}, 1 - u])/1536 + 
     (2021*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      256 - (71831*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 0, 1}, 1 - u])/3072 - 
     (41131*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      1536 - (71831*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 0, 1}, 1 - u])/3072 + 
     (2021*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u])/
      256 + (231*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u])/256 - 
     (271*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u])/1024 - 
     (271*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u])/1024 + 
     (449*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u])/128 - 
     (20131*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u])/1024 - 
     (20131*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u])/1024 - 
     (9543*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 0, 1}, 1 - v])/2048 + 
     (102427*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      12288 + (863575*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1, 0, 1}, 1 - v])/24576 + 
     (641*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 0, 1}, 1 - v])/384 + 
     (119893*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      4608 - (2081321*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 0, 1}, 1 - v])/24576 + 
     (863575*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      24576 + (119893*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 0, 1}, 1 - v])/4608 + 
     (102427*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      12288 - (9543*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 0, 1}, 1 - v])/2048 + 
     (2021*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      256 - (41131*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 0, 1}, 1 - v])/1536 - 
     (71831*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      3072 - (148601*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 0, 1}, 1 - v])/6144 + 
     (53*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      256 - (148601*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 0, 1}, 1 - v])/6144 - 
     (71831*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      3072 - (41131*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 0, 1}, 1 - v])/1536 + 
     (2021*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v])/
      256 - (271*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v])/1024 + 
     (231*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v])/256 - 
     (271*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v])/1024 - 
     (20131*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v])/1024 + 
     (449*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v])/128 - 
     (20131*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v])/1024 - 
     (9543*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 0, 1}, 1 - w])/2048 + 
     (119893*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      4608 + (119893*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1, 0, 1}, 1 - w])/4608 - 
     (9543*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 0, 1}, 1 - w])/2048 + 
     (102427*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      12288 - (2081321*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 0, 1}, 1 - w])/24576 + 
     (102427*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      12288 + (863575*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 0, 1}, 1 - w])/24576 + 
     (863575*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      24576 + (641*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 0, 1}, 1 - w])/384 + 
     (2021*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      256 - (71831*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 0, 1}, 1 - w])/3072 - 
     (41131*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      1536 - (71831*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 0, 1}, 1 - w])/3072 + 
     (2021*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      256 - (41131*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 0, 1}, 1 - w])/1536 - 
     (148601*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      6144 - (148601*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 0, 1}, 1 - w])/6144 + 
     (53*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w])/
      256 - (271*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w])/1024 - 
     (271*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w])/1024 + 
     (231*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w])/256 - 
     (20131*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w])/1024 - 
     (20131*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w])/1024 + 
     (449*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w])/128 + 
     (5617*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1, 1}, 1 - u])/1536 + 
     (7451*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      1536 + (42203*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1, 1, 1}, 1 - u])/6144 - 
     (328771*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1, 1}, 1 - u])/18432 + 
     (7451*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      1536 - (1028095*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1, 1}, 1 - u])/3072 - 
     (3717017*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      24576 + (42203*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 1, 1}, 1 - u])/6144 - 
     (3717017*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      24576 - (328771*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1, 1}, 1 - u])/18432 - 
     (219*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      128 - (41517*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1, 1}, 1 - u])/512 - 
     (41517*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      512 - (7539*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 
        1 - u])/128 - (1295405*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1, 1}, 1 - u])/6144 - 
     (1000259*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      6144 - (7539*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1, 1}, 1 - u])/128 - 
     (1000259*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u])/
      6144 - (1295405*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1, 1}, 1 - u])/6144 - 
     (117*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u])/128 + 
     (21671*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u])/1024 + 
     (21671*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u])/1024 + 
     (2083*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u])/256 + 
     (11490353*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u])/12288 + 
     (11490353*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u])/12288 - 
     (328771*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1, 1}, 1 - v])/18432 + 
     (42203*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      6144 + (7451*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1}, 
        1 - v])/1536 + (5617*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      1536 - (3717017*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1, 1}, 1 - v])/24576 - 
     (1028095*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1, 1}, 1 - v])/3072 + 
     (7451*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      1536 - (3717017*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 1, 1}, 1 - v])/24576 + 
     (42203*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      6144 - (328771*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1, 1}, 1 - v])/18432 - 
     (1295405*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      6144 - (7539*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1, 1}, 1 - v])/128 - 
     (1000259*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      6144 - (41517*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1, 1}, 1 - v])/512 - 
     (219*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      128 - (41517*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1, 1}, 1 - v])/512 - 
     (1000259*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      6144 - (7539*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1, 1}, 1 - v])/128 - 
     (1295405*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v])/
      6144 + (21671*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v])/1024 - 
     (117*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v])/128 + 
     (21671*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v])/1024 + 
     (11490353*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v])/12288 + 
     (2083*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v])/256 + 
     (11490353*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v])/12288 - 
     (328771*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1, 1, 1}, 1 - w])/18432 - 
     (3717017*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      24576 - (3717017*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1, 1, 1}, 1 - w])/24576 - 
     (328771*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1, 1, 1}, 1 - w])/18432 + 
     (42203*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      6144 - (1028095*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1, 1}, 1 - w])/3072 + 
     (42203*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      6144 + (7451*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1}, 
        1 - w])/1536 + (7451*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1, 1, 1}, 1 - w])/1536 + 
     (5617*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1, 1, 1}, 1 - w])/1536 - 
     (1295405*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      6144 - (1000259*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1, 1, 1}, 1 - w])/6144 - 
     (7539*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      128 - (1000259*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1, 1}, 1 - w])/6144 - 
     (1295405*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      6144 - (7539*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1, 1, 1}, 1 - w])/128 - 
     (41517*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      512 - (41517*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1, 1, 1}, 1 - w])/512 - 
     (219*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w])/
      128 + (21671*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w])/1024 + 
     (21671*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w])/1024 - 
     (117*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w])/128 + 
     (11490353*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w])/12288 + 
     (11490353*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w])/12288 + 
     (2083*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w])/256 + 
     (6923*HPL[{1}, 1 - u]^3*HPL[{0, 1, 0, 1, 1}, 1 - u])/9216 + 
     (274621*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      36864 - (607105*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 0, 1, 1}, 1 - u])/73728 - 
     (326125*HPL[{1}, 1 - v]^3*HPL[{0, 1, 0, 1, 1}, 1 - u])/55296 + 
     (274621*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      36864 - (9103835*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 0, 1, 1}, 1 - u])/73728 - 
     (3853763*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      73728 - (607105*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 0, 1, 1}, 1 - u])/73728 - 
     (3853763*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      73728 - (326125*HPL[{1}, 1 - w]^3*HPL[{0, 1, 0, 1, 1}, 1 - u])/55296 - 
     (63*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      256 - (753*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 
        1 - u])/32 - (753*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 0, 1, 1}, 1 - u])/32 - 
     (17163*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      1024 - (1294337*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 0, 1, 1}, 1 - u])/18432 - 
     (930455*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      18432 - (17163*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 0, 1, 1}, 1 - u])/1024 - 
     (930455*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u])/
      18432 - (1294337*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 0, 1, 1}, 1 - u])/18432 + 
     (39*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u])/256 + 
     (3735*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u])/512 + 
     (3735*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u])/512 + 
     (991*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u])/512 + 
     (11463677*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u])/36864 + 
     (11463677*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u])/36864 - 
     (326125*HPL[{1}, 1 - u]^3*HPL[{0, 1, 0, 1, 1}, 1 - v])/55296 - 
     (607105*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      73728 + (274621*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 0, 1, 1}, 1 - v])/36864 + 
     (6923*HPL[{1}, 1 - v]^3*HPL[{0, 1, 0, 1, 1}, 1 - v])/9216 - 
     (3853763*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      73728 - (9103835*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 0, 1, 1}, 1 - v])/73728 + 
     (274621*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      36864 - (3853763*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 0, 1, 1}, 1 - v])/73728 - 
     (607105*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      73728 - (326125*HPL[{1}, 1 - w]^3*HPL[{0, 1, 0, 1, 1}, 1 - v])/55296 - 
     (1294337*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      18432 - (17163*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 0, 1, 1}, 1 - v])/1024 - 
     (930455*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      18432 - (753*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 0, 1, 1}, 1 - v])/32 - 
     (63*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      256 - (753*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 
        1 - v])/32 - (930455*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 0, 1, 1}, 1 - v])/18432 - 
     (17163*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v])/
      1024 - (1294337*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 0, 1, 1}, 1 - v])/18432 + 
     (3735*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v])/512 + 
     (39*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v])/256 + 
     (3735*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v])/512 + 
     (11463677*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v])/36864 + 
     (991*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v])/512 + 
     (11463677*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v])/36864 - 
     (326125*HPL[{1}, 1 - u]^3*HPL[{0, 1, 0, 1, 1}, 1 - w])/55296 - 
     (3853763*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      73728 - (3853763*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 0, 1, 1}, 1 - w])/73728 - 
     (326125*HPL[{1}, 1 - v]^3*HPL[{0, 1, 0, 1, 1}, 1 - w])/55296 - 
     (607105*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      73728 - (9103835*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 0, 1, 1}, 1 - w])/73728 - 
     (607105*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      73728 + (274621*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 0, 1, 1}, 1 - w])/36864 + 
     (274621*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      36864 + (6923*HPL[{1}, 1 - w]^3*HPL[{0, 1, 0, 1, 1}, 1 - w])/9216 - 
     (1294337*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      18432 - (930455*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 0, 1, 1}, 1 - w])/18432 - 
     (17163*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      1024 - (930455*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 0, 1, 1}, 1 - w])/18432 - 
     (1294337*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      18432 - (17163*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 0, 1, 1}, 1 - w])/1024 - 
     (753*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w])/
      32 - (753*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 
        1 - w])/32 - (63*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 0, 1, 1}, 1 - w])/256 + 
     (3735*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w])/512 + 
     (3735*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w])/512 + 
     (39*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w])/256 + 
     (11463677*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w])/36864 + 
     (11463677*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w])/36864 + 
     (991*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w])/512 - 
     (5*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1, 1}, 1 - u])/8 - 
     (25*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u])/32 + 
     (529*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - u])/96 - 
     (1435*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1, 1}, 1 - u])/768 - 
     (25*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u])/32 + 
     (5215*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1, 1}, 1 - u])/768 - 
     (35381*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u])/
      6144 + (529*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 
        1 - u])/96 - (35381*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1, 1, 1}, 1 - u])/6144 - 
     (1435*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1, 1}, 1 - u])/768 - 
     (13*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u])/64 - 
     (9309*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u])/
      128 - (9309*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 
        1 - u])/128 + (1175*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1, 1}, 1 - u])/384 - 
     (35935*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u])/
      18432 + (26377*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1, 1}, 1 - u])/1536 + 
     (1175*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u])/
      384 + (26377*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1, 1}, 1 - u])/1536 - 
     (35935*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u])/
      18432 + (53*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u])/32 + 
     (37*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u])/64 + 
     (37*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u])/64 - 
     (23*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u])/8 + 
     (102097*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u])/9216 + 
     (102097*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u])/9216 - 
     (1435*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1, 1}, 1 - v])/768 + 
     (529*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v])/96 - 
     (25*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1}, 1 - v])/32 - 
     (5*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1, 1}, 1 - v])/8 - 
     (35381*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v])/
      6144 + (5215*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1, 1}, 1 - v])/768 - 
     (25*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v])/32 - 
     (35381*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - v])/
      6144 + (529*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 
        1 - v])/96 - (1435*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1, 1}, 1 - v])/
      768 - (35935*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1, 1}, 1 - v])/18432 + 
     (1175*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v])/
      384 + (26377*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1, 1}, 1 - v])/1536 - 
     (9309*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v])/
      128 - (13*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 
        1 - v])/64 - (9309*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1, 1}, 1 - v])/128 + 
     (26377*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v])/
      1536 + (1175*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1, 1}, 1 - v])/384 - 
     (35935*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v])/
      18432 + (37*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v])/64 + 
     (53*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v])/32 + 
     (37*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v])/64 + 
     (102097*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v])/9216 - 
     (23*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v])/8 + 
     (102097*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v])/9216 - 
     (1435*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1, 1, 1}, 1 - w])/768 - 
     (35381*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w])/
      6144 - (35381*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 1, 1, 1}, 1 - w])/6144 - 
     (1435*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1, 1, 1}, 1 - w])/768 + 
     (529*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w])/96 + 
     (5215*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1, 1}, 1 - w])/768 + 
     (529*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w])/96 - 
     (25*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - w])/32 - 
     (25*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1}, 1 - w])/32 - 
     (5*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1, 1, 1}, 1 - w])/8 - 
     (35935*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w])/
      18432 + (26377*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1, 1}, 1 - w])/1536 + 
     (1175*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w])/
      384 + (26377*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1, 1}, 1 - w])/1536 - 
     (35935*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w])/
      18432 + (1175*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1, 1, 1}, 1 - w])/384 - 
     (9309*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w])/
      128 - (9309*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 
        1 - w])/128 - (13*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1, 1, 1}, 1 - w])/64 + 
     (37*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w])/64 + 
     (37*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w])/64 + 
     (53*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w])/32 + 
     (102097*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w])/9216 + 
     (102097*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w])/9216 - 
     (23*HPL[{0, 1, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w])/8 + 
     3*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - u] - 
     (25*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u])/64 - 
     (25*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - u])/64 - 
     (25*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u])/64 + 
     (13*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u])/48 - 
     (25*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - u])/64 - 
     (3*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u])/2 - 
     (7*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u])/8 - 
     (7*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - u])/8 - 
     (25*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - v])/64 - 
     (25*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v])/64 + 
     3*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - v] + 
     (13*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v])/48 - 
     (25*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v])/64 - 
     (25*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - v])/64 - 
     (7*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v])/8 - 
     (3*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v])/2 - 
     (7*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - v])/8 - 
     (25*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - w])/64 + 
     (13*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w])/48 - 
     (25*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - w])/64 - 
     (25*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w])/64 - 
     (25*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w])/64 + 
     3*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 0, 1}, 1 - w] - 
     (7*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w])/8 - 
     (7*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w])/8 - 
     (3*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1}, 1 - w])/2 - 
     (123*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/64 + 
     (31*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/
      128 - (29*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/16 + 
     (31*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/
      128 + (25*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 
        1 - u])/6 - (29*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/
      16 + (33*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/32 + 
     (31*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/128 + 
     (31*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/128 - 
     (29*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - v])/16 + 
     (31*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v])/
      128 - (123*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - v])/64 + 
     (25*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v])/6 + 
     (31*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v])/
      128 - (29*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - v])/16 + 
     (31*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v])/128 + 
     (33*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v])/32 + 
     (31*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - v])/128 - 
     (29*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/16 + 
     (25*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/6 - 
     (29*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/16 + 
     (31*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/
      128 + (31*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 
        1 - w])/128 - (123*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/
      64 + (31*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/128 + 
     (31*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/128 + 
     (33*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/32 + 
     (31*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/256 + 
     (33*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/
      512 - (133*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/128 + 
     (33*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/
      512 + (131*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 
        1 - u])/64 - (133*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/
      128 + (19*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/128 - 
     (71*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/512 - 
     (71*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/512 - 
     (133*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - v])/128 + 
     (33*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v])/
      512 + (31*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - v])/256 + 
     (131*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v])/
      64 + (33*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 
        1 - v])/512 - (133*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - v])/
      128 - (71*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v])/512 + 
     (19*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v])/128 - 
     (71*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - v])/512 - 
     (133*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/128 + 
     (131*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/
      64 - (133*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/128 + 
     (33*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/
      512 + (33*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 
        1 - w])/512 + (31*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/
      256 - (71*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/512 - 
     (71*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/512 + 
     (19*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/128 + 
     (207*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1, 1}, 1 - u])/128 - 
     (1130033*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u])/
      6144 + (34409*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1, 1}, 1 - u])/2048 - 
     (1130033*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - u])/
      6144 + (913667*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - u])/6144 + (34409*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - u])/2048 - (225*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - u])/64 - (70457*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - u])/1024 - (70457*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - u])/1024 + (34409*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - v])/2048 - (1130033*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 0, 1, 1, 1}, 1 - v])/6144 + 
     (207*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1, 1}, 1 - v])/128 + 
     (913667*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - v])/
      6144 - (1130033*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - v])/6144 + (34409*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - v])/2048 - (70457*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - v])/1024 - (225*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - v])/64 - (70457*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - v])/1024 + (34409*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - w])/2048 + (913667*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 0, 1, 1, 1}, 1 - w])/6144 + 
     (34409*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1, 1, 1}, 1 - w])/2048 - 
     (1130033*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w])/
      6144 - (1130033*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 
        1 - w])/6144 + (207*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1, 1, 1}, 1 - w])/
      128 - (70457*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w])/1024 - 
     (70457*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w])/1024 - 
     (225*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1}, 1 - w])/64 - 
     (HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1, 1}, 1 - u])/8 - 
     (107097*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u])/
      1024 + (18961*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1, 1}, 1 - u])/2048 - 
     (107097*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u])/
      1024 + (913339*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 
        1 - u])/12288 + (18961*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1, 1}, 
        1 - u])/2048 - HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u] - 
     (34935*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u])/1024 - 
     (34935*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - u])/1024 + 
     (18961*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1, 1}, 1 - v])/2048 - 
     (107097*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v])/
      1024 - (HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1, 1}, 1 - v])/8 + 
     (913339*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v])/
      12288 - (107097*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 
        1 - v])/1024 + (18961*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1, 1}, 
        1 - v])/2048 - (34935*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 
        1 - v])/1024 - HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v] - 
     (34935*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - v])/1024 + 
     (18961*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/2048 + 
     (913339*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/
      12288 + (18961*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/2048 - 
     (107097*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/
      1024 - (107097*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 
        1 - w])/1024 - (HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/8 - 
     (34935*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/1024 - 
     (34935*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/1024 - 
     HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1}, 1 - w] - 
     (5*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/256 - 
     (1127009*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/
      36864 + (11077*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/3072 - 
     (1127009*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/
      36864 + (906155*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 
        1 - u])/36864 + (11077*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 0, 1}, 
        1 - u])/3072 - (5*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/
      128 - (5839*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/512 - 
     (5839*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/512 + 
     (11077*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 0, 1}, 1 - v])/3072 - 
     (1127009*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v])/
      36864 - (5*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 0, 1}, 1 - v])/256 + 
     (906155*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v])/
      36864 - (1127009*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1, 0, 1}, 1 - v])/36864 + 
     (11077*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 0, 1}, 1 - v])/3072 - 
     (5839*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v])/512 - 
     (5*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v])/128 - 
     (5839*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - v])/512 + 
     (11077*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/3072 + 
     (906155*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/
      36864 + (11077*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/3072 - 
     (1127009*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/
      36864 - (1127009*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/36864 - 
     (5*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/256 - 
     (5839*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/512 - 
     (5839*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/512 - 
     (5*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/128 - 
     (73*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1, 1}, 1 - u])/32 - 
     (39005*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u])/
      1536 + (2509*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1, 1}, 1 - u])/1024 - 
     (39005*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u])/
      1536 + (579563*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 
        1 - u])/1536 + (2509*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1, 1}, 
        1 - u])/1024 - (313*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 
        1 - u])/64 - (8967*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u])/
      256 - (8967*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - u])/256 + 
     (2509*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1, 1}, 1 - v])/1024 - 
     (39005*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v])/
      1536 - (73*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1, 1}, 1 - v])/32 + 
     (579563*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v])/
      1536 - (39005*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 
        1 - v])/1536 + (2509*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1, 1}, 
        1 - v])/1024 - (8967*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 
        1 - v])/256 - (313*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v])/
      64 - (8967*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - v])/256 + 
     (2509*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/1024 + 
     (579563*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/
      1536 + (2509*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/1024 - 
     (39005*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/
      1536 - (39005*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 
        1 - w])/1536 - (73*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/
      32 - (8967*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/256 - 
     (8967*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/256 - 
     (313*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/64 + 
     (HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/16 - 
     (6349*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/
      2048 + (143*HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/12288 - 
     (6349*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/
      2048 + (568687*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 
        1 - u])/6144 + (143*HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/
      12288 + (25*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/64 - 
     (9793*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/1024 - 
     (9793*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/1024 + 
     (143*HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - v])/12288 - 
     (6349*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v])/
      2048 + (HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - v])/16 + 
     (568687*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v])/
      6144 - (6349*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 
        1 - v])/2048 + (143*HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - v])/
      12288 - (9793*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v])/1024 + 
     (25*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v])/64 - 
     (9793*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - v])/1024 + 
     (143*HPL[{1}, 1 - u]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/12288 + 
     (568687*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/
      6144 + (143*HPL[{1}, 1 - v]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/12288 - 
     (6349*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/
      2048 - (6349*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 
        1 - w])/2048 + (HPL[{1}, 1 - w]^2*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/
      16 - (9793*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/1024 - 
     (9793*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/1024 + 
     (25*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/64 + 
     (475*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1, 1}, 1 - u])/128 + 
     (5555*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u])/
      1536 - (6035*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1, 1}, 1 - u])/1536 + 
     (5555*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u])/
      1536 - (517189*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 
        1 - u])/6144 - (6035*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1, 1}, 
        1 - u])/1536 + (125*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1}, 
        1 - u])/64 - (3445*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u])/
      1536 - (3445*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - u])/1536 - 
     (6035*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1, 1}, 1 - v])/1536 + 
     (5555*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v])/
      1536 + (475*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1, 1}, 1 - v])/128 - 
     (517189*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v])/
      6144 + (5555*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 
        1 - v])/1536 - (6035*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1, 1}, 
        1 - v])/1536 - (3445*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1}, 
        1 - v])/1536 + (125*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 
        1 - v])/64 - (3445*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - v])/
      1536 - (6035*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/1536 - 
     (517189*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/
      6144 - (6035*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/1536 + 
     (5555*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/
      1536 + (5555*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 
        1 - w])/1536 + (475*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/
      128 - (3445*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/1536 - 
     (3445*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/1536 + 
     (125*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/64 + 
     (15*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - u])/2 + 
     (15*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - v])/2 + 
     (15*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 0, 1}, 1 - w])/2 - 
     (39*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - u])/4 - 
     (17*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - u])/32 - 
     (17*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - u])/32 - 
     (17*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - v])/32 - 
     (39*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - v])/4 - 
     (17*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - v])/32 - 
     (17*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - w])/32 - 
     (17*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - w])/32 - 
     (39*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 0, 1, 1}, 1 - w])/4 - 
     (75*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - u])/32 - 
     (9*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - u])/32 - 
     (9*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - u])/32 - 
     (9*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - v])/32 - 
     (75*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - v])/32 - 
     (9*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - v])/32 - 
     (9*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - w])/32 - 
     (9*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - w])/32 - 
     (75*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 0, 1}, 1 - w])/32 - 
     (9*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - u])/4 + 
     (51*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - u])/4 + 
     (51*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - u])/4 + 
     (51*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - v])/4 - 
     (9*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - v])/4 + 
     (51*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - v])/4 + 
     (51*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - w])/4 + 
     (51*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - w])/4 - 
     (9*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1, 1, 1}, 1 - w])/4 - 
     (13*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - u])/16 - 
     (5*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - u])/64 - 
     (5*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - u])/64 - 
     (5*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - v])/64 - 
     (13*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - v])/16 - 
     (5*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - v])/64 - 
     (5*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - w])/64 - 
     (5*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - w])/64 - 
     (13*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 0, 1}, 1 - w])/16 - 
     (85*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - u])/32 + 
     (1661*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - u])/256 + 
     (1661*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - u])/256 + 
     (1661*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - v])/256 - 
     (85*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - v])/32 + 
     (1661*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - v])/256 + 
     (1661*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - w])/256 + 
     (1661*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - w])/256 - 
     (85*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 0, 1, 1}, 1 - w])/32 - 
     (13*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - u])/32 + 
     (573*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - u])/256 + 
     (573*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - u])/256 + 
     (573*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - v])/256 - 
     (13*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - v])/32 + 
     (573*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - v])/256 + 
     (573*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - w])/256 + 
     (573*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - w])/256 - 
     (13*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 0, 1}, 1 - w])/32 - 
     (25*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - u])/16 + 
     (1553*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - u])/8 + 
     (1553*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - u])/8 + 
     (1553*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - v])/8 - 
     (25*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - v])/16 + 
     (1553*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - v])/8 + 
     (1553*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - w])/8 + 
     (1553*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - w])/8 - 
     (25*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1, 1, 1}, 1 - w])/16 - 
     (13*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - u])/32 + 
     (31*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - u])/32 + 
     (31*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - u])/32 + 
     (31*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - v])/32 - 
     (13*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - v])/32 + 
     (31*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - v])/32 + 
     (31*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - w])/32 + 
     (31*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - w])/32 - 
     (13*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 0, 1, 1}, 1 - w])/32 + 
     (57*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - u])/128 + 
     (169*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - u])/512 + 
     (169*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - u])/512 + 
     (169*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - v])/512 + 
     (57*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - v])/128 + 
     (169*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - v])/512 + 
     (169*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - w])/512 + 
     (169*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - w])/512 + 
     (57*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 0, 1}, 1 - w])/128 + 
     (85*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - u])/64 + 
     (555443*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - u])/4096 + 
     (555443*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - u])/4096 + 
     (555443*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - v])/4096 + 
     (85*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - v])/64 + 
     (555443*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - v])/4096 + 
     (555443*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - w])/4096 + 
     (555443*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - w])/4096 + 
     (85*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1, 1, 1}, 1 - w])/64 + 
     (71*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - u])/64 + 
     (450475*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - u])/6144 + 
     (450475*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - u])/6144 + 
     (450475*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - v])/6144 + 
     (71*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - v])/64 + 
     (450475*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - v])/6144 + 
     (450475*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - w])/6144 + 
     (450475*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - w])/6144 + 
     (71*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 0, 1, 1}, 1 - w])/64 + 
     (149*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - u])/128 + 
     (11735*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - u])/512 + 
     (11735*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - u])/512 + 
     (11735*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - v])/512 + 
     (149*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - v])/128 + 
     (11735*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - v])/512 + 
     (11735*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - w])/512 + 
     (11735*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - w])/512 + 
     (149*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 0, 1}, 1 - w])/128 - 
     (115*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - u])/32 + 
     (273635*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - u])/512 + 
     (273635*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - u])/512 + 
     (273635*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - v])/512 - 
     (115*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - v])/32 + 
     (273635*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - v])/512 + 
     (273635*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - w])/512 + 
     (273635*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - w])/512 - 
     (115*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1, 1, 1}, 1 - w])/32 - 
     (3*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - u])/32 + 
     (161635*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - u])/12288 + 
     (161635*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - u])/12288 + 
     (161635*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - v])/12288 - 
     (3*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - v])/32 + 
     (161635*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - v])/12288 + 
     (161635*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - w])/12288 + 
     (161635*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - w])/12288 - 
     (3*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 0, 1, 1}, 1 - w])/32 - 
     (387*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - u])/64 + 
     (24397*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - u])/192 + 
     (24397*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - u])/192 + 
     (24397*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - v])/192 - 
     (387*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - v])/64 + 
     (24397*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - v])/192 + 
     (24397*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - w])/192 + 
     (24397*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - w])/192 - 
     (387*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1, 1, 1}, 1 - w])/64 - 
     (127*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - u])/64 + 
     (10565*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - u])/1024 + 
     (10565*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - u])/1024 + 
     (10565*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - v])/1024 - 
     (127*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - v])/64 + 
     (10565*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - v])/1024 + 
     (10565*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - w])/1024 + 
     (10565*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - w])/1024 - 
     (127*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 0, 1, 1, 1}, 1 - w])/64 - 
     (25*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - u])/2 + 
     (15*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - u])/4 + 
     (15*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - u])/4 + 
     (15*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - v])/4 - 
     (25*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - v])/2 + 
     (15*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - v])/4 + 
     (15*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - w])/4 + 
     (15*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - w])/4 - 
     (25*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1, 1, 1}, 1 - w])/2 + 
     (15*HPL[{0, 0, 0, 0, 0, 0, 0, 1}, 1 - u])/2 + 
     (15*HPL[{0, 0, 0, 0, 0, 0, 0, 1}, 1 - v])/2 + 
     (15*HPL[{0, 0, 0, 0, 0, 0, 0, 1}, 1 - w])/2 - 
     (39*HPL[{0, 0, 0, 0, 0, 0, 1, 1}, 1 - u])/4 - 
     (39*HPL[{0, 0, 0, 0, 0, 0, 1, 1}, 1 - v])/4 - 
     (39*HPL[{0, 0, 0, 0, 0, 0, 1, 1}, 1 - w])/4 - 
     (75*HPL[{0, 0, 0, 0, 0, 1, 0, 1}, 1 - u])/32 - 
     (75*HPL[{0, 0, 0, 0, 0, 1, 0, 1}, 1 - v])/32 - 
     (75*HPL[{0, 0, 0, 0, 0, 1, 0, 1}, 1 - w])/32 + 
     (747*HPL[{0, 0, 0, 0, 0, 1, 1, 1}, 1 - u])/16 + 
     (747*HPL[{0, 0, 0, 0, 0, 1, 1, 1}, 1 - v])/16 + 
     (747*HPL[{0, 0, 0, 0, 0, 1, 1, 1}, 1 - w])/16 - 
     (13*HPL[{0, 0, 0, 0, 1, 0, 0, 1}, 1 - u])/16 - 
     (13*HPL[{0, 0, 0, 0, 1, 0, 0, 1}, 1 - v])/16 - 
     (13*HPL[{0, 0, 0, 0, 1, 0, 0, 1}, 1 - w])/16 + 
     (271*HPL[{0, 0, 0, 0, 1, 0, 1, 1}, 1 - u])/16 + 
     (271*HPL[{0, 0, 0, 0, 1, 0, 1, 1}, 1 - v])/16 + 
     (271*HPL[{0, 0, 0, 0, 1, 0, 1, 1}, 1 - w])/16 + 
     (23*HPL[{0, 0, 0, 0, 1, 1, 0, 1}, 1 - u])/8 + 
     (23*HPL[{0, 0, 0, 0, 1, 1, 0, 1}, 1 - v])/8 + 
     (23*HPL[{0, 0, 0, 0, 1, 1, 0, 1}, 1 - w])/8 + 
     (113*HPL[{0, 0, 0, 0, 1, 1, 1, 1}, 1 - u])/4 + 
     (113*HPL[{0, 0, 0, 0, 1, 1, 1, 1}, 1 - v])/4 + 
     (113*HPL[{0, 0, 0, 0, 1, 1, 1, 1}, 1 - w])/4 + 
     (9*HPL[{0, 0, 0, 1, 0, 0, 1, 1}, 1 - u])/2 + 
     (9*HPL[{0, 0, 0, 1, 0, 0, 1, 1}, 1 - v])/2 + 
     (9*HPL[{0, 0, 0, 1, 0, 0, 1, 1}, 1 - w])/2 - 
     (11*HPL[{0, 0, 0, 1, 0, 1, 0, 1}, 1 - u])/128 - 
     (11*HPL[{0, 0, 0, 1, 0, 1, 0, 1}, 1 - v])/128 - 
     (11*HPL[{0, 0, 0, 1, 0, 1, 0, 1}, 1 - w])/128 + 
     (1009*HPL[{0, 0, 0, 1, 0, 1, 1, 1}, 1 - u])/64 + 
     (1009*HPL[{0, 0, 0, 1, 0, 1, 1, 1}, 1 - v])/64 + 
     (1009*HPL[{0, 0, 0, 1, 0, 1, 1, 1}, 1 - w])/64 + 
     (87*HPL[{0, 0, 0, 1, 1, 0, 0, 1}, 1 - u])/32 + 
     (87*HPL[{0, 0, 0, 1, 1, 0, 0, 1}, 1 - v])/32 + 
     (87*HPL[{0, 0, 0, 1, 1, 0, 0, 1}, 1 - w])/32 + 
     (437*HPL[{0, 0, 0, 1, 1, 0, 1, 1}, 1 - u])/64 + 
     (437*HPL[{0, 0, 0, 1, 1, 0, 1, 1}, 1 - v])/64 + 
     (437*HPL[{0, 0, 0, 1, 1, 0, 1, 1}, 1 - w])/64 + 
     (353*HPL[{0, 0, 0, 1, 1, 1, 0, 1}, 1 - u])/128 + 
     (353*HPL[{0, 0, 0, 1, 1, 1, 0, 1}, 1 - v])/128 + 
     (353*HPL[{0, 0, 0, 1, 1, 1, 0, 1}, 1 - w])/128 + 
     (615*HPL[{0, 0, 0, 1, 1, 1, 1, 1}, 1 - u])/8 + 
     (615*HPL[{0, 0, 0, 1, 1, 1, 1, 1}, 1 - v])/8 + 
     (615*HPL[{0, 0, 0, 1, 1, 1, 1, 1}, 1 - w])/8 - 
     (13*HPL[{0, 0, 1, 0, 0, 1, 0, 1}, 1 - u])/16 - 
     (13*HPL[{0, 0, 1, 0, 0, 1, 0, 1}, 1 - v])/16 - 
     (13*HPL[{0, 0, 1, 0, 0, 1, 0, 1}, 1 - w])/16 + 
     (9*HPL[{0, 0, 1, 0, 0, 1, 1, 1}, 1 - u])/2 + 
     (9*HPL[{0, 0, 1, 0, 0, 1, 1, 1}, 1 - v])/2 + 
     (9*HPL[{0, 0, 1, 0, 0, 1, 1, 1}, 1 - w])/2 + 
     (141*HPL[{0, 0, 1, 0, 1, 0, 1, 1}, 1 - u])/128 + 
     (141*HPL[{0, 0, 1, 0, 1, 0, 1, 1}, 1 - v])/128 + 
     (141*HPL[{0, 0, 1, 0, 1, 0, 1, 1}, 1 - w])/128 + 
     (5*HPL[{0, 0, 1, 0, 1, 1, 0, 1}, 1 - u])/128 + 
     (5*HPL[{0, 0, 1, 0, 1, 1, 0, 1}, 1 - v])/128 + 
     (5*HPL[{0, 0, 1, 0, 1, 1, 0, 1}, 1 - w])/128 + 
     (733*HPL[{0, 0, 1, 0, 1, 1, 1, 1}, 1 - u])/32 + 
     (733*HPL[{0, 0, 1, 0, 1, 1, 1, 1}, 1 - v])/32 + 
     (733*HPL[{0, 0, 1, 0, 1, 1, 1, 1}, 1 - w])/32 - 
     (19*HPL[{0, 0, 1, 1, 0, 1, 0, 1}, 1 - u])/128 - 
     (19*HPL[{0, 0, 1, 1, 0, 1, 0, 1}, 1 - v])/128 - 
     (19*HPL[{0, 0, 1, 1, 0, 1, 0, 1}, 1 - w])/128 + 
     (1351*HPL[{0, 0, 1, 1, 0, 1, 1, 1}, 1 - u])/128 + 
     (1351*HPL[{0, 0, 1, 1, 0, 1, 1, 1}, 1 - v])/128 + 
     (1351*HPL[{0, 0, 1, 1, 0, 1, 1, 1}, 1 - w])/128 + 
     (269*HPL[{0, 0, 1, 1, 1, 0, 1, 1}, 1 - u])/32 + 
     (269*HPL[{0, 0, 1, 1, 1, 0, 1, 1}, 1 - v])/32 + 
     (269*HPL[{0, 0, 1, 1, 1, 0, 1, 1}, 1 - w])/32 + 
     (147*HPL[{0, 0, 1, 1, 1, 1, 0, 1}, 1 - u])/32 + 
     (147*HPL[{0, 0, 1, 1, 1, 1, 0, 1}, 1 - v])/32 + 
     (147*HPL[{0, 0, 1, 1, 1, 1, 0, 1}, 1 - w])/32 - 
     (265*HPL[{0, 0, 1, 1, 1, 1, 1, 1}, 1 - u])/32 - 
     (265*HPL[{0, 0, 1, 1, 1, 1, 1, 1}, 1 - v])/32 - 
     (265*HPL[{0, 0, 1, 1, 1, 1, 1, 1}, 1 - w])/32 - 
     (361*HPL[{0, 1, 0, 1, 0, 1, 1, 1}, 1 - u])/128 - 
     (361*HPL[{0, 1, 0, 1, 0, 1, 1, 1}, 1 - v])/128 - 
     (361*HPL[{0, 1, 0, 1, 0, 1, 1, 1}, 1 - w])/128 - 
     (107*HPL[{0, 1, 0, 1, 1, 0, 1, 1}, 1 - u])/128 - 
     (107*HPL[{0, 1, 0, 1, 1, 0, 1, 1}, 1 - v])/128 - 
     (107*HPL[{0, 1, 0, 1, 1, 0, 1, 1}, 1 - w])/128 + 
     (175*HPL[{0, 1, 0, 1, 1, 1, 1, 1}, 1 - u])/64 + 
     (175*HPL[{0, 1, 0, 1, 1, 1, 1, 1}, 1 - v])/64 + 
     (175*HPL[{0, 1, 0, 1, 1, 1, 1, 1}, 1 - w])/64 + 
     (13*HPL[{0, 1, 1, 0, 1, 1, 1, 1}, 1 - u])/16 + 
     (13*HPL[{0, 1, 1, 0, 1, 1, 1, 1}, 1 - v])/16 + 
     (13*HPL[{0, 1, 1, 0, 1, 1, 1, 1}, 1 - w])/16 + 
     (1225*HPL[{0, 1, 1, 1, 1, 1, 1, 1}, 1 - u])/64 + 
     (1225*HPL[{0, 1, 1, 1, 1, 1, 1, 1}, 1 - v])/64 + 
     (1225*HPL[{0, 1, 1, 1, 1, 1, 1, 1}, 1 - w])/64 - 
     (4099*HPL[{1}, 1 - u]^3*M1[u, v, w])/9216 + 
     (8699*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*M1[u, v, w])/36864 - 
     (5929*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*M1[u, v, w])/2304 - 
     (1141*HPL[{1}, 1 - v]^3*M1[u, v, w])/9216 + 
     (8699*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*M1[u, v, w])/36864 + 
     (21689*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[u, v, w])/
      6144 - (16325*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*M1[u, v, w])/18432 - 
     (5929*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*M1[u, v, w])/2304 - 
     (16325*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*M1[u, v, w])/18432 - 
     (1141*HPL[{1}, 1 - w]^3*M1[u, v, w])/9216 + 
     (23*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*M1[u, v, w])/64 + 
     (6851*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*M1[u, v, w])/3072 + 
     (6851*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*M1[u, v, w])/3072 + 
     (2009*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*M1[u, v, w])/384 - 
     (37*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*M1[u, v, w])/256 + 
     (2061*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*M1[u, v, w])/512 + 
     (2009*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*M1[u, v, w])/384 + 
     (2061*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*M1[u, v, w])/512 - 
     (37*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*M1[u, v, w])/256 + 
     (25*HPL[{0, 0, 1}, 1 - u]*M1[u, v, w])/64 - 
     (41*HPL[{0, 0, 1}, 1 - v]*M1[u, v, w])/256 - 
     (41*HPL[{0, 0, 1}, 1 - w]*M1[u, v, w])/256 - 
     (443*HPL[{0, 1, 1}, 1 - u]*M1[u, v, w])/512 - 
     (133*HPL[{0, 1, 1}, 1 - v]*M1[u, v, w])/512 - 
     (133*HPL[{0, 1, 1}, 1 - w]*M1[u, v, w])/512 + 
     (1483*HPL[{1}, 1 - u]^3*M1[v, u, w])/9216 - 
     (11555*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*M1[v, u, w])/9216 + 
     (57343*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*M1[v, u, w])/36864 - 
     (1475*HPL[{1}, 1 - v]^3*M1[v, u, w])/9216 - 
     (1205*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*M1[v, u, w])/2304 + 
     (22069*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*M1[v, u, w])/36864 + 
     (24151*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*M1[v, u, w])/36864 - 
     (38063*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*M1[v, u, w])/36864 - 
     (HPL[{1}, 1 - w]^3*M1[v, u, w])/1152 - 
     (43*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*M1[v, u, w])/128 + 
     (5093*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*M1[v, u, w])/3072 + 
     (1159*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*M1[v, u, w])/2048 - 
     (43*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*M1[v, u, w])/32 + 
     (43*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*M1[v, u, w])/256 - 
     (7553*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*M1[v, u, w])/6144 - 
     (2633*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*M1[v, u, w])/6144 + 
     (1593*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*M1[v, u, w])/2048 + 
     (43*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*M1[v, u, w])/256 - 
     (47*HPL[{0, 0, 1}, 1 - u]*M1[v, u, w])/128 + 
     (47*HPL[{0, 0, 1}, 1 - v]*M1[v, u, w])/256 + 
     (47*HPL[{0, 0, 1}, 1 - w]*M1[v, u, w])/256 + 
     (457*HPL[{0, 1, 1}, 1 - u]*M1[v, u, w])/1536 - 
     (473*HPL[{0, 1, 1}, 1 - v]*M1[v, u, w])/1536 + 
     (HPL[{0, 1, 1}, 1 - w]*M1[v, u, w])/96 - 
     (41*HPL[{1}, 1 - u]^3*M1[v, w, u])/144 - 
     (12161*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*M1[v, w, u])/9216 - 
     (12161*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*M1[v, w, u])/9216 - 
     (41*HPL[{1}, 1 - v]^3*M1[v, w, u])/144 - 
     (6685*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*M1[v, w, u])/18432 + 
     (21689*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[v, w, u])/
      6144 - (6685*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*M1[v, w, u])/18432 - 
     (56801*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*M1[v, w, u])/36864 - 
     (56801*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*M1[v, w, u])/36864 - 
     (1133*HPL[{1}, 1 - w]^3*M1[v, w, u])/9216 + 
     (49*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*M1[v, w, u])/256 + 
     (10979*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*M1[v, w, u])/3072 + 
     (7085*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*M1[v, w, u])/2048 + 
     (10979*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*M1[v, w, u])/3072 + 
     (49*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*M1[v, w, u])/256 + 
     (7085*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*M1[v, w, u])/2048 + 
     (27365*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*M1[v, w, u])/6144 + 
     (27365*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*M1[v, w, u])/6144 - 
     (5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*M1[v, w, u])/16 + 
     (53*HPL[{0, 0, 1}, 1 - u]*M1[v, w, u])/256 + 
     (53*HPL[{0, 0, 1}, 1 - v]*M1[v, w, u])/256 - 
     (11*HPL[{0, 0, 1}, 1 - w]*M1[v, w, u])/32 - 
     (107*HPL[{0, 1, 1}, 1 - u]*M1[v, w, u])/192 - 
     (107*HPL[{0, 1, 1}, 1 - v]*M1[v, w, u])/192 - 
     (415*HPL[{0, 1, 1}, 1 - w]*M1[v, w, u])/1536 - 
     (109*HPL[{1}, 1 - u]^3*M1[w, u, v])/384 - 
     (3527*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*M1[w, u, v])/12288 - 
     (7857*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*M1[w, u, v])/4096 - 
     (383*HPL[{1}, 1 - v]^3*M1[w, u, v])/3072 - 
     (4169*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*M1[w, u, v])/4096 + 
     (21689*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*M1[w, u, v])/
      6144 - (7857*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*M1[w, u, v])/4096 - 
     (4169*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*M1[w, u, v])/4096 - 
     (3527*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*M1[w, u, v])/12288 - 
     (109*HPL[{1}, 1 - w]^3*M1[w, u, v])/384 + 
     (3*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*M1[w, u, v])/128 + 
     (17179*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*M1[w, u, v])/6144 + 
     (1493*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*M1[w, u, v])/384 + 
     (9837*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*M1[w, u, v])/2048 + 
     (3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*M1[w, u, v])/128 + 
     (9837*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*M1[w, u, v])/2048 + 
     (1493*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*M1[w, u, v])/384 + 
     (17179*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*M1[w, u, v])/6144 + 
     (3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*M1[w, u, v])/128 + 
     (3*HPL[{0, 0, 1}, 1 - u]*M1[w, u, v])/128 + 
     (3*HPL[{0, 0, 1}, 1 - v]*M1[w, u, v])/128 + 
     (3*HPL[{0, 0, 1}, 1 - w]*M1[w, u, v])/128 - 
     (109*HPL[{0, 1, 1}, 1 - u]*M1[w, u, v])/192 - 
     (383*HPL[{0, 1, 1}, 1 - v]*M1[w, u, v])/1536 - 
     (109*HPL[{0, 1, 1}, 1 - w]*M1[w, u, v])/192 + 
     (1475*HPL[{1}, 1 - u]^3*M1[w, v, u])/9216 - 
     (22069*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*M1[w, v, u])/36864 + 
     (38063*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*M1[w, v, u])/36864 + 
     (HPL[{1}, 1 - v]^3*M1[w, v, u])/1152 - 
     (57343*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*M1[w, v, u])/36864 - 
     (24151*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*M1[w, v, u])/36864 + 
     (11555*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*M1[w, v, u])/9216 + 
     (1205*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*M1[w, v, u])/2304 - 
     (1483*HPL[{1}, 1 - w]^3*M1[w, v, u])/9216 - 
     (43*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*M1[w, v, u])/256 + 
     (7553*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*M1[w, v, u])/6144 + 
     (43*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*M1[w, v, u])/32 - 
     (1593*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*M1[w, v, u])/2048 - 
     (43*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*M1[w, v, u])/256 + 
     (2633*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*M1[w, v, u])/6144 - 
     (5093*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*M1[w, v, u])/3072 - 
     (1159*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*M1[w, v, u])/2048 + 
     (43*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*M1[w, v, u])/128 - 
     (47*HPL[{0, 0, 1}, 1 - u]*M1[w, v, u])/256 - 
     (47*HPL[{0, 0, 1}, 1 - v]*M1[w, v, u])/256 + 
     (47*HPL[{0, 0, 1}, 1 - w]*M1[w, v, u])/128 + 
     (473*HPL[{0, 1, 1}, 1 - u]*M1[w, v, u])/1536 - 
     (HPL[{0, 1, 1}, 1 - v]*M1[w, v, u])/96 - 
     (457*HPL[{0, 1, 1}, 1 - w]*M1[w, v, u])/1536 + 
     (875*HPL[{1}, 1 - u]^3*Nt[u, v, w])/9216 + 
     (5405*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Nt[u, v, w])/36864 + 
     (5405*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Nt[u, v, w])/36864 + 
     (875*HPL[{1}, 1 - v]^3*Nt[u, v, w])/9216 + 
     (5405*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Nt[u, v, w])/36864 - 
     (9301*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Nt[u, v, w])/
      3072 + (5405*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Nt[u, v, w])/36864 + 
     (5405*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Nt[u, v, w])/36864 + 
     (5405*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Nt[u, v, w])/36864 + 
     (875*HPL[{1}, 1 - w]^3*Nt[u, v, w])/9216 + 
     (13*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Nt[u, v, w])/256 + 
     (409*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Nt[u, v, w])/6144 + 
     (409*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Nt[u, v, w])/6144 + 
     (409*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Nt[u, v, w])/6144 + 
     (13*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Nt[u, v, w])/256 + 
     (409*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Nt[u, v, w])/6144 + 
     (409*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Nt[u, v, w])/6144 + 
     (409*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Nt[u, v, w])/6144 + 
     (13*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Nt[u, v, w])/256 + 
     (13*HPL[{0, 0, 1}, 1 - u]*Nt[u, v, w])/256 + 
     (13*HPL[{0, 0, 1}, 1 - v]*Nt[u, v, w])/256 + 
     (13*HPL[{0, 0, 1}, 1 - w]*Nt[u, v, w])/256 + 
     (281*HPL[{0, 1, 1}, 1 - u]*Nt[u, v, w])/1536 + 
     (281*HPL[{0, 1, 1}, 1 - v]*Nt[u, v, w])/1536 + 
     (281*HPL[{0, 1, 1}, 1 - w]*Nt[u, v, w])/1536 + 
     (667*HPL[{1}, 1 - u]^4*Omega2[u, v, w])/4608 - 
     (16825*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*Omega2[u, v, w])/18432 - 
     (57451*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*Omega2[u, v, w])/24576 - 
     (54973*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*Omega2[u, v, w])/18432 - 
     (1957*HPL[{1}, 1 - v]^4*Omega2[u, v, w])/4608 - 
     (12653*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*Omega2[u, v, w])/6144 + 
     (6557*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w])/
      2304 + (8165*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       Omega2[u, v, w])/768 - (51329*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*
       Omega2[u, v, w])/18432 + (51871*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       Omega2[u, v, w])/8192 + (28123*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*Omega2[u, v, w])/4096 + 
     (239635*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*Omega2[u, v, w])/73728 - 
     (595*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*Omega2[u, v, w])/4608 - 
     (3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*Omega2[u, v, w])/8 + 
     (893*HPL[{1}, 1 - w]^4*Omega2[u, v, w])/4608 - 
     (56395*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*Omega2[u, v, w])/12288 + 
     (7093*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       Omega2[u, v, w])/384 + (30945*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
       Omega2[u, v, w])/2048 - (3411*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*Omega2[u, v, w])/1024 + 
     (29449*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       Omega2[u, v, w])/6144 - (20927*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       Omega2[u, v, w])/6144 + (26107*HPL[{0, 1}, 1 - u]^2*Omega2[u, v, w])/
      12288 + (48919*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*Omega2[u, v, w])/
      6144 + (12921*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       Omega2[u, v, w])/512 - (51691*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
       Omega2[u, v, w])/12288 - (13061*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*Omega2[u, v, w])/6144 + 
     (1837*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       Omega2[u, v, w])/512 - (20927*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       Omega2[u, v, w])/6144 + (7573*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       Omega2[u, v, w])/1024 + (26107*HPL[{0, 1}, 1 - v]^2*Omega2[u, v, w])/
      12288 - (6169*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*Omega2[u, v, w])/
      1536 + (1193*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       Omega2[u, v, w])/64 + (5009*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
       Omega2[u, v, w])/1024 - (1175*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*Omega2[u, v, w])/1024 - 
     (1815*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       Omega2[u, v, w])/1024 + (34475*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       Omega2[u, v, w])/12288 - (11047*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       Omega2[u, v, w])/1024 - (11047*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       Omega2[u, v, w])/1024 - (54971*HPL[{0, 1}, 1 - w]^2*Omega2[u, v, w])/
      12288 - (44527*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*Omega2[u, v, w])/
      3072 + (37213*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*Omega2[u, v, w])/
      3072 - (52565*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*Omega2[u, v, w])/
      3072 + (35941*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*Omega2[u, v, w])/
      3072 - (43255*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*Omega2[u, v, w])/
      3072 - (52565*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*Omega2[u, v, w])/
      3072 + (1523*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*Omega2[u, v, w])/
      768 + (995*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*Omega2[u, v, w])/768 + 
     (39335*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*Omega2[u, v, w])/3072 + 
     (41*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*Omega2[u, v, w])/96 - 
     (1313*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*Omega2[u, v, w])/64 + 
     (9809*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*Omega2[u, v, w])/512 - 
     (3725*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*Omega2[u, v, w])/192 - 
     (11*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*Omega2[u, v, w])/16 + 
     (9809*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*Omega2[u, v, w])/512 + 
     (30661*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*Omega2[u, v, w])/3072 + 
     (9667*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*Omega2[u, v, w])/1024 + 
     (109*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*Omega2[u, v, w])/96 - 
     (43243*HPL[{0, 0, 0, 1}, 1 - u]*Omega2[u, v, w])/3072 - 
     (43243*HPL[{0, 0, 0, 1}, 1 - v]*Omega2[u, v, w])/3072 + 
     (38051*HPL[{0, 0, 0, 1}, 1 - w]*Omega2[u, v, w])/3072 + 
     (23*HPL[{0, 0, 1, 1}, 1 - u]*Omega2[u, v, w])/128 + 
     (23*HPL[{0, 0, 1, 1}, 1 - v]*Omega2[u, v, w])/128 + 
     (177*HPL[{0, 0, 1, 1}, 1 - w]*Omega2[u, v, w])/128 + 
     (41787*HPL[{0, 1, 1, 1}, 1 - u]*Omega2[u, v, w])/2048 + 
     (41787*HPL[{0, 1, 1, 1}, 1 - v]*Omega2[u, v, w])/2048 - 
     (39323*HPL[{0, 1, 1, 1}, 1 - w]*Omega2[u, v, w])/2048 - 
     (123505*Omega2[u, v, w]^2)/12288 + 
     (893*HPL[{1}, 1 - u]^4*Omega2[v, w, u])/4608 + 
     (37*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*Omega2[v, w, u])/192 + 
     (281959*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*Omega2[v, w, u])/73728 + 
     (2423*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*Omega2[v, w, u])/2304 - 
     (101*HPL[{1}, 1 - v]^4*Omega2[v, w, u])/576 - 
     (3211*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*Omega2[v, w, u])/4608 + 
     (102329*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       Omega2[v, w, u])/12288 - (543*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*Omega2[v, w, u])/2048 + 
     (1393*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*Omega2[v, w, u])/2304 + 
     (35195*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*Omega2[v, w, u])/8192 + 
     (220111*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       Omega2[v, w, u])/18432 - (137627*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
       Omega2[v, w, u])/24576 - (3145*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       Omega2[v, w, u])/768 - (8471*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       Omega2[v, w, u])/9216 - (1949*HPL[{1}, 1 - w]^4*Omega2[v, w, u])/
      4608 + (34475*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*Omega2[v, w, u])/
      12288 - (1863*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       Omega2[v, w, u])/1024 - (269*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
       Omega2[v, w, u])/384 - (1127*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*Omega2[v, w, u])/1024 + 
     (50555*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       Omega2[v, w, u])/3072 + (1925*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       Omega2[v, w, u])/512 - (54971*HPL[{0, 1}, 1 - u]^2*Omega2[v, w, u])/
      12288 - (20927*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*Omega2[v, w, u])/
      6144 - (6163*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       Omega2[v, w, u])/1024 - (52267*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
       Omega2[v, w, u])/12288 + (45961*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*Omega2[v, w, u])/6144 + 
     (16053*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       Omega2[v, w, u])/1024 + (107941*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       Omega2[v, w, u])/6144 - (11047*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       Omega2[v, w, u])/1024 + (26107*HPL[{0, 1}, 1 - v]^2*Omega2[v, w, u])/
      12288 - (20927*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*Omega2[v, w, u])/
      6144 - (6109*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       Omega2[v, w, u])/2048 + (58477*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
       Omega2[v, w, u])/6144 + (13655*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*Omega2[v, w, u])/3072 + 
     (24593*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       Omega2[v, w, u])/1024 - (55819*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       Omega2[v, w, u])/12288 - (11047*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       Omega2[v, w, u])/1024 + (7573*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       Omega2[v, w, u])/1024 + (26107*HPL[{0, 1}, 1 - w]^2*Omega2[v, w, u])/
      12288 + (39335*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*Omega2[v, w, u])/
      3072 + (959*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*Omega2[v, w, u])/
      768 + (1559*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*Omega2[v, w, u])/
      768 - (52565*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*Omega2[v, w, u])/
      3072 - (43399*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*Omega2[v, w, u])/
      3072 + (36085*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*Omega2[v, w, u])/
      3072 - (52565*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*Omega2[v, w, u])/
      3072 + (37069*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*Omega2[v, w, u])/
      3072 - (44383*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*Omega2[v, w, u])/
      3072 + (109*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*Omega2[v, w, u])/96 + 
     (32489*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*Omega2[v, w, u])/3072 + 
     (27173*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*Omega2[v, w, u])/3072 + 
     (9809*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*Omega2[v, w, u])/512 - 
     (145*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*Omega2[v, w, u])/768 - 
     (15283*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*Omega2[v, w, u])/768 + 
     (9809*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*Omega2[v, w, u])/512 - 
     (3721*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*Omega2[v, w, u])/192 - 
     (17*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*Omega2[v, w, u])/24 + 
     (38051*HPL[{0, 0, 0, 1}, 1 - u]*Omega2[v, w, u])/3072 - 
     (43243*HPL[{0, 0, 0, 1}, 1 - v]*Omega2[v, w, u])/3072 - 
     (43243*HPL[{0, 0, 0, 1}, 1 - w]*Omega2[v, w, u])/3072 + 
     (177*HPL[{0, 0, 1, 1}, 1 - u]*Omega2[v, w, u])/128 + 
     (23*HPL[{0, 0, 1, 1}, 1 - v]*Omega2[v, w, u])/128 + 
     (23*HPL[{0, 0, 1, 1}, 1 - w]*Omega2[v, w, u])/128 - 
     (39323*HPL[{0, 1, 1, 1}, 1 - u]*Omega2[v, w, u])/2048 + 
     (41787*HPL[{0, 1, 1, 1}, 1 - v]*Omega2[v, w, u])/2048 + 
     (41787*HPL[{0, 1, 1, 1}, 1 - w]*Omega2[v, w, u])/2048 + 
     (38939*Omega2[u, v, w]*Omega2[v, w, u])/6144 - 
     (123505*Omega2[v, w, u]^2)/12288 - 
     (143*HPL[{1}, 1 - u]^4*Omega2[w, u, v])/192 - 
     (7315*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*Omega2[w, u, v])/4608 + 
     (87383*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*Omega2[w, u, v])/73728 - 
     (217*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*Omega2[w, u, v])/576 + 
     (893*HPL[{1}, 1 - v]^4*Omega2[w, u, v])/4608 + 
     (4135*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*Omega2[w, u, v])/9216 + 
     (173891*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       Omega2[w, u, v])/18432 + (125845*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*Omega2[w, u, v])/12288 - 
     (587*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*Omega2[w, u, v])/4608 - 
     (195535*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*Omega2[w, u, v])/24576 + 
     (4147*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Omega2[w, u, v])/
      2304 + (370235*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*Omega2[w, u, v])/
      73728 + (35327*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*Omega2[w, u, v])/
      18432 - (18679*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*Omega2[w, u, v])/
      18432 - (17*HPL[{1}, 1 - w]^4*Omega2[w, u, v])/96 - 
     (47563*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*Omega2[w, u, v])/12288 + 
     (3469*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       Omega2[w, u, v])/3072 - (20927*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
       Omega2[w, u, v])/6144 + (11373*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*Omega2[w, u, v])/512 + 
     (2045*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       Omega2[w, u, v])/6144 + (65431*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       Omega2[w, u, v])/6144 + (26107*HPL[{0, 1}, 1 - u]^2*Omega2[w, u, v])/
      12288 + (3301*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*Omega2[w, u, v])/
      512 - (1471*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       Omega2[w, u, v])/1024 + (34475*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*
       Omega2[w, u, v])/12288 + (12463*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*Omega2[w, u, v])/768 - 
     (1519*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       Omega2[w, u, v])/1024 - (3235*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       Omega2[w, u, v])/1024 - (11047*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       Omega2[w, u, v])/1024 - (54971*HPL[{0, 1}, 1 - v]^2*Omega2[w, u, v])/
      12288 + (113207*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*Omega2[w, u, v])/
      6144 + (36403*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       Omega2[w, u, v])/6144 - (20927*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
       Omega2[w, u, v])/6144 + (22247*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*Omega2[w, u, v])/1536 - 
     (2285*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       Omega2[w, u, v])/512 - (48139*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       Omega2[w, u, v])/12288 + (7573*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       Omega2[w, u, v])/1024 - (11047*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       Omega2[w, u, v])/1024 + (26107*HPL[{0, 1}, 1 - w]^2*Omega2[w, u, v])/
      12288 - (42127*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*Omega2[w, u, v])/
      3072 - (52565*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*Omega2[w, u, v])/
      3072 + (34813*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*Omega2[w, u, v])/
      3072 + (1277*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*Omega2[w, u, v])/
      768 + (39335*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*Omega2[w, u, v])/
      3072 + (1241*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*Omega2[w, u, v])/
      768 + (34957*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*Omega2[w, u, v])/
      3072 - (52565*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*Omega2[w, u, v])/
      3072 - (42271*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*Omega2[w, u, v])/
      3072 - (1001*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*Omega2[w, u, v])/
      768 + (9809*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*Omega2[w, u, v])/
      512 - (4809*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*Omega2[w, u, v])/
      256 + (29065*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*Omega2[w, u, v])/
      3072 + (109*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*Omega2[w, u, v])/96 + 
     (10199*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*Omega2[w, u, v])/1024 - 
     (15299*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*Omega2[w, u, v])/768 + 
     (9809*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*Omega2[w, u, v])/512 - 
     (43*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*Omega2[w, u, v])/256 - 
     (43243*HPL[{0, 0, 0, 1}, 1 - u]*Omega2[w, u, v])/3072 + 
     (38051*HPL[{0, 0, 0, 1}, 1 - v]*Omega2[w, u, v])/3072 - 
     (43243*HPL[{0, 0, 0, 1}, 1 - w]*Omega2[w, u, v])/3072 + 
     (23*HPL[{0, 0, 1, 1}, 1 - u]*Omega2[w, u, v])/128 + 
     (177*HPL[{0, 0, 1, 1}, 1 - v]*Omega2[w, u, v])/128 + 
     (23*HPL[{0, 0, 1, 1}, 1 - w]*Omega2[w, u, v])/128 + 
     (41787*HPL[{0, 1, 1, 1}, 1 - u]*Omega2[w, u, v])/2048 - 
     (39323*HPL[{0, 1, 1, 1}, 1 - v]*Omega2[w, u, v])/2048 + 
     (41787*HPL[{0, 1, 1, 1}, 1 - w]*Omega2[w, u, v])/2048 + 
     (38939*Omega2[u, v, w]*Omega2[w, u, v])/6144 + 
     (38939*Omega2[v, w, u]*Omega2[w, u, v])/6144 - 
     (123505*Omega2[w, u, v]^2)/12288 + (2879*HPL[{1}, 1 - u]^3*Ot[u, v, w])/
      9216 + (48293*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Ot[u, v, w])/36864 + 
     (48293*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Ot[u, v, w])/36864 + 
     (2879*HPL[{1}, 1 - v]^3*Ot[u, v, w])/9216 + 
     (48293*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Ot[u, v, w])/36864 - 
     (32683*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Ot[u, v, w])/
      3072 + (48293*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Ot[u, v, w])/36864 + 
     (48293*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Ot[u, v, w])/36864 + 
     (48293*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Ot[u, v, w])/36864 + 
     (2879*HPL[{1}, 1 - w]^3*Ot[u, v, w])/9216 + 
     (7*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Ot[u, v, w])/256 - 
     (2013*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Ot[u, v, w])/512 - 
     (2013*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Ot[u, v, w])/512 - 
     (2013*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Ot[u, v, w])/512 + 
     (7*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Ot[u, v, w])/256 - 
     (2013*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Ot[u, v, w])/512 - 
     (2013*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Ot[u, v, w])/512 - 
     (2013*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Ot[u, v, w])/512 + 
     (7*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Ot[u, v, w])/256 + 
     (7*HPL[{0, 0, 1}, 1 - u]*Ot[u, v, w])/256 + 
     (7*HPL[{0, 0, 1}, 1 - v]*Ot[u, v, w])/256 + 
     (7*HPL[{0, 0, 1}, 1 - w]*Ot[u, v, w])/256 + 
     (949*HPL[{0, 1, 1}, 1 - u]*Ot[u, v, w])/1536 + 
     (949*HPL[{0, 1, 1}, 1 - v]*Ot[u, v, w])/1536 + 
     (949*HPL[{0, 1, 1}, 1 - w]*Ot[u, v, w])/1536 - 
     (745219*G[u, v, w]*Phi6[u, v, w])/24576 + 
     (49631*H1[u, v, w]*Phi6[u, v, w])/12288 + 
     (49631*H1[v, w, u]*Phi6[u, v, w])/12288 + 
     (49631*H1[w, u, v]*Phi6[u, v, w])/12288 - 
     (14457*F1[u, v, w]*HPL[{1}, 1 - u]*Phi6[u, v, w])/1024 - 
     (21939*F1[v, w, u]*HPL[{1}, 1 - u]*Phi6[u, v, w])/2048 - 
     (21939*F1[w, u, v]*HPL[{1}, 1 - u]*Phi6[u, v, w])/2048 - 
     (21939*F1[u, v, w]*HPL[{1}, 1 - v]*Phi6[u, v, w])/2048 - 
     (14457*F1[v, w, u]*HPL[{1}, 1 - v]*Phi6[u, v, w])/1024 - 
     (21939*F1[w, u, v]*HPL[{1}, 1 - v]*Phi6[u, v, w])/2048 - 
     (21939*F1[u, v, w]*HPL[{1}, 1 - w]*Phi6[u, v, w])/2048 - 
     (21939*F1[v, w, u]*HPL[{1}, 1 - w]*Phi6[u, v, w])/2048 - 
     (14457*F1[w, u, v]*HPL[{1}, 1 - w]*Phi6[u, v, w])/1024 + 
     (295369*J1[u, v, w]*Phi6[u, v, w])/49152 + 
     (295369*J1[v, w, u]*Phi6[u, v, w])/49152 + 
     (295369*J1[w, u, v]*Phi6[u, v, w])/49152 + 
     (4525*K1[u, v, w]*Phi6[u, v, w])/256 + (4525*K1[v, w, u]*Phi6[u, v, w])/
      256 + (4525*K1[w, u, v]*Phi6[u, v, w])/256 - 
     (13911*HPL[{1}, 1 - u]^2*Phi6[u, v, w]^2)/2048 - 
     (27179*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Phi6[u, v, w]^2)/2048 - 
     (13911*HPL[{1}, 1 - v]^2*Phi6[u, v, w]^2)/2048 - 
     (27179*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Phi6[u, v, w]^2)/2048 - 
     (27179*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Phi6[u, v, w]^2)/2048 - 
     (13911*HPL[{1}, 1 - w]^2*Phi6[u, v, w]^2)/2048 + 
     (11*HPL[{0, 1}, 1 - u]*Phi6[u, v, w]^2)/16 + 
     (11*HPL[{0, 1}, 1 - v]*Phi6[u, v, w]^2)/16 + 
     (11*HPL[{0, 1}, 1 - w]*Phi6[u, v, w]^2)/16 + 
     (755*HPL[{1}, 1 - u]^3*Qep[u, v, w])/432 - 
     (2261*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Qep[u, v, w])/216 + 
     (29165*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Qep[u, v, w])/1728 - 
     (823*HPL[{1}, 1 - v]^3*Qep[u, v, w])/432 - 
     (2831*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Qep[u, v, w])/216 + 
     (40279*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[u, v, w])/
      576 + (6623*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Qep[u, v, w])/1728 + 
     (18965*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Qep[u, v, w])/1728 - 
     (29797*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Qep[u, v, w])/1728 - 
     (131*HPL[{1}, 1 - w]^3*Qep[u, v, w])/54 - 
     (377*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Qep[u, v, w])/96 + 
     (15769*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Qep[u, v, w])/576 + 
     (547*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Qep[u, v, w])/24 - 
     (41549*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Qep[u, v, w])/576 - 
     (15*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Qep[u, v, w])/4 - 
     (883*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Qep[u, v, w])/192 - 
     (1085*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Qep[u, v, w])/36 - 
     (503*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Qep[u, v, w])/64 + 
     (737*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Qep[u, v, w])/96 - 
     (409*HPL[{0, 0, 1}, 1 - u]*Qep[u, v, w])/96 - 
     (25*HPL[{0, 0, 1}, 1 - v]*Qep[u, v, w])/6 + 
     (809*HPL[{0, 0, 1}, 1 - w]*Qep[u, v, w])/96 + 
     (79*HPL[{0, 1, 1}, 1 - u]*Qep[u, v, w])/24 - 
     (247*HPL[{0, 1, 1}, 1 - v]*Qep[u, v, w])/72 - 
     (169*HPL[{0, 1, 1}, 1 - w]*Qep[u, v, w])/36 - 
     (209*HPL[{1}, 1 - u]^3*Qep[u, w, v])/27 - 
     (13949*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Qep[u, w, v])/1728 - 
     (75899*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Qep[u, w, v])/1728 - 
     (2189*HPL[{1}, 1 - v]^3*Qep[u, w, v])/432 - 
     (9389*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Qep[u, w, v])/1728 + 
     (83657*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[u, w, v])/
      576 - (62447*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Qep[u, w, v])/1728 - 
     (65699*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Qep[u, w, v])/1728 - 
     (26027*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Qep[u, w, v])/1728 - 
     (491*HPL[{1}, 1 - w]^3*Qep[u, w, v])/108 + 
     (359*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Qep[u, w, v])/96 + 
     (10133*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Qep[u, w, v])/144 + 
     (4797*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Qep[u, w, v])/64 + 
     (2933*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Qep[u, w, v])/36 + 
     (147*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Qep[u, w, v])/32 + 
     (4993*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Qep[u, w, v])/64 + 
     (22739*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Qep[u, w, v])/576 + 
     (15605*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Qep[u, w, v])/192 - 
     (41*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Qep[u, w, v])/6 + 
     (391*HPL[{0, 0, 1}, 1 - u]*Qep[u, w, v])/96 + 
     (481*HPL[{0, 0, 1}, 1 - v]*Qep[u, w, v])/96 - 
     (91*HPL[{0, 0, 1}, 1 - w]*Qep[u, w, v])/12 - 
     (91*HPL[{0, 1, 1}, 1 - u]*Qep[u, w, v])/6 - 
     (737*HPL[{0, 1, 1}, 1 - v]*Qep[u, w, v])/72 - 
     (323*HPL[{0, 1, 1}, 1 - w]*Qep[u, w, v])/36 - 
     (383*HPL[{1}, 1 - u]^3*Qep[v, u, w])/48 - 
     (6493*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Qep[v, u, w])/576 - 
     (5561*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Qep[v, u, w])/144 - 
     (623*HPL[{1}, 1 - v]^3*Qep[v, u, w])/144 - 
     (2249*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Qep[v, u, w])/576 + 
     (83657*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[v, u, w])/
      576 - (667*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Qep[v, u, w])/32 - 
     (4811*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Qep[v, u, w])/96 - 
     (1051*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Qep[v, u, w])/48 - 
     (727*HPL[{1}, 1 - w]^3*Qep[v, u, w])/144 + 
     (HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Qep[v, u, w])/3 + 
     (263*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Qep[v, u, w])/64 + 
     (4429*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Qep[v, u, w])/64 + 
     (19895*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Qep[v, u, w])/192 + 
     (5*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Qep[v, u, w])/32 + 
     (3091*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Qep[v, u, w])/32 + 
     (50203*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Qep[v, u, w])/576 + 
     (18685*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Qep[v, u, w])/288 + 
     (97*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Qep[v, u, w])/96 + 
     (HPL[{0, 0, 1}, 1 - u]*Qep[v, u, w])/4 + 
     (5*HPL[{0, 0, 1}, 1 - v]*Qep[v, u, w])/32 + 
     (35*HPL[{0, 0, 1}, 1 - w]*Qep[v, u, w])/32 - 
     (1103*HPL[{0, 1, 1}, 1 - u]*Qep[v, u, w])/72 - 
     (619*HPL[{0, 1, 1}, 1 - v]*Qep[v, u, w])/72 - 
     (251*HPL[{0, 1, 1}, 1 - w]*Qep[v, u, w])/24 + 
     (145*HPL[{1}, 1 - u]^3*Qep[v, w, u])/144 - 
     (9085*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Qep[v, w, u])/576 + 
     (1285*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Qep[v, w, u])/64 - 
     (5*HPL[{1}, 1 - v]^3*Qep[v, w, u])/3 - 
     (5453*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Qep[v, w, u])/192 + 
     (40279*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[v, w, u])/
      576 + (1327*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Qep[v, w, u])/576 + 
     (5129*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Qep[v, w, u])/288 - 
     (1483*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Qep[v, w, u])/288 - 
     (277*HPL[{1}, 1 - w]^3*Qep[v, w, u])/144 + 
     (49*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Qep[v, w, u])/96 + 
     (251*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Qep[v, w, u])/48 + 
     (809*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Qep[v, w, u])/192 - 
     (47*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Qep[v, w, u])/8 - 
     (11*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Qep[v, w, u])/32 + 
     (221*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Qep[v, w, u])/192 - 
     (7915*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Qep[v, w, u])/576 - 
     (31991*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Qep[v, w, u])/576 - 
     (HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Qep[v, w, u])/6 + 
     (19*HPL[{0, 0, 1}, 1 - u]*Qep[v, w, u])/32 - 
     (11*HPL[{0, 0, 1}, 1 - v]*Qep[v, w, u])/32 - 
     (HPL[{0, 0, 1}, 1 - w]*Qep[v, w, u])/4 + 
     (119*HPL[{0, 1, 1}, 1 - u]*Qep[v, w, u])/72 - 
     (59*HPL[{0, 1, 1}, 1 - v]*Qep[v, w, u])/18 - 
     (77*HPL[{0, 1, 1}, 1 - w]*Qep[v, w, u])/24 + 
     (163*HPL[{1}, 1 - u]^3*Qep[w, u, v])/108 - 
     (7723*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Qep[w, u, v])/864 + 
     (4133*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Qep[w, u, v])/864 - 
     (65*HPL[{1}, 1 - v]^3*Qep[w, u, v])/27 - 
     (14089*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Qep[w, u, v])/864 + 
     (40279*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[w, u, v])/
      576 - (2593*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Qep[w, u, v])/864 + 
     (7033*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Qep[w, u, v])/432 - 
     (421*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Qep[w, u, v])/216 - 
     (91*HPL[{1}, 1 - w]^3*Qep[w, u, v])/54 - 
     (22*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Qep[w, u, v])/3 + 
     (12457*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Qep[w, u, v])/576 - 
     (25037*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Qep[w, u, v])/576 - 
     (1565*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Qep[w, u, v])/64 + 
     (131*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Qep[w, u, v])/32 - 
     (6047*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Qep[w, u, v])/288 - 
     (4603*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Qep[w, u, v])/576 + 
     (343*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Qep[w, u, v])/32 + 
     (311*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Qep[w, u, v])/96 - 
     (97*HPL[{0, 0, 1}, 1 - u]*Qep[w, u, v])/12 + 
     (433*HPL[{0, 0, 1}, 1 - v]*Qep[w, u, v])/96 + 
     (343*HPL[{0, 0, 1}, 1 - w]*Qep[w, u, v])/96 + 
     (113*HPL[{0, 1, 1}, 1 - u]*Qep[w, u, v])/36 - 
     (59*HPL[{0, 1, 1}, 1 - v]*Qep[w, u, v])/12 - 
     (55*HPL[{0, 1, 1}, 1 - w]*Qep[w, u, v])/18 - 
     (229*HPL[{1}, 1 - u]^3*Qep[w, v, u])/27 - 
     (20189*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*Qep[w, v, u])/864 - 
     (32045*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*Qep[w, v, u])/864 - 
     (493*HPL[{1}, 1 - v]^3*Qep[w, v, u])/108 - 
     (4639*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*Qep[w, v, u])/432 + 
     (83657*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Qep[w, v, u])/
      576 - (10387*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*Qep[w, v, u])/432 - 
     (60169*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*Qep[w, v, u])/1728 - 
     (28669*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*Qep[w, v, u])/1728 - 
     (1861*HPL[{1}, 1 - w]^3*Qep[w, v, u])/432 + 
     (785*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*Qep[w, v, u])/96 + 
     (29831*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*Qep[w, v, u])/576 + 
     (1901*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*Qep[w, v, u])/36 + 
     (18791*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*Qep[w, v, u])/192 - 
     (13*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*Qep[w, v, u])/4 + 
     (17473*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*Qep[w, v, u])/576 + 
     (7613*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*Qep[w, v, u])/72 + 
     (16709*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*Qep[w, v, u])/192 - 
     (329*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*Qep[w, v, u])/96 + 
     (857*HPL[{0, 0, 1}, 1 - u]*Qep[w, v, u])/96 - 
     (11*HPL[{0, 0, 1}, 1 - v]*Qep[w, v, u])/3 - 
     (361*HPL[{0, 0, 1}, 1 - w]*Qep[w, v, u])/96 - 
     (605*HPL[{0, 1, 1}, 1 - u]*Qep[w, v, u])/36 - 
     (35*HPL[{0, 1, 1}, 1 - v]*Qep[w, v, u])/4 - 
     (635*HPL[{0, 1, 1}, 1 - w]*Qep[w, v, u])/72 - (5*T1[u, v, w])/16 - 
     (5*T1[u, w, v])/16 - (5*T1[v, u, w])/16 - (5*T1[v, w, u])/16 - 
     (5*T1[w, u, v])/16 - (5*T1[w, v, u])/16 - (31*T10[u, v, w])/128 - 
     (31*T10[u, w, v])/128 - (31*T10[v, u, w])/128 - (31*T10[v, w, u])/128 - 
     (31*T10[w, u, v])/128 - (31*T10[w, v, u])/128 - 
     (5741*T100[u, v, w])/6144 + (17467*T101[u, v, w])/6144 - 
     (292661*T102[u, v, w])/73728 - (31*T11[u, v, w])/128 - 
     (31*T11[u, w, v])/128 - (31*T11[v, u, w])/128 - (31*T11[v, w, u])/128 - 
     (31*T11[w, u, v])/128 - (31*T11[w, v, u])/128 - (17*T12[u, v, w])/64 - 
     (17*T12[u, w, v])/64 - (17*T12[v, u, w])/64 - (17*T12[v, w, u])/64 - 
     (17*T12[w, u, v])/64 - (17*T12[w, v, u])/64 - (37*T13[u, v, w])/128 - 
     (37*T13[u, w, v])/128 - (37*T13[v, u, w])/128 - (37*T13[v, w, u])/128 - 
     (37*T13[w, u, v])/128 - (37*T13[w, v, u])/128 - T14[u, v, w]/4 - 
     T14[u, w, v]/4 - T14[v, u, w]/4 - T14[v, w, u]/4 - T14[w, u, v]/4 - 
     T14[w, v, u]/4 - (37*T15[u, v, w])/128 - (37*T15[u, w, v])/128 - 
     (37*T15[v, u, w])/128 - (37*T15[v, w, u])/128 - (37*T15[w, u, v])/128 - 
     (37*T15[w, v, u])/128 + (303*T16[u, v, w])/64 + (303*T16[u, w, v])/64 + 
     (303*T16[v, u, w])/64 + (303*T16[v, w, u])/64 + (303*T16[w, u, v])/64 + 
     (303*T16[w, v, u])/64 + (1317*T17[u, v, w])/256 + 
     (1317*T17[u, w, v])/256 + (1317*T17[v, u, w])/256 + 
     (1317*T17[v, w, u])/256 + (1317*T17[w, u, v])/256 + 
     (1317*T17[w, v, u])/256 - T18[u, v, w]/256 - T18[u, w, v]/256 - 
     T18[v, u, w]/256 - T18[v, w, u]/256 - T18[w, u, v]/256 - 
     T18[w, v, u]/256 - T19[u, v, w]/256 - T19[u, w, v]/256 - 
     T19[v, u, w]/256 - T19[v, w, u]/256 - T19[w, u, v]/256 - 
     T19[w, v, u]/256 - (81*T2[u, v, w])/256 - (81*T2[u, w, v])/256 - 
     (81*T2[v, u, w])/256 - (81*T2[v, w, u])/256 - (81*T2[w, u, v])/256 - 
     (81*T2[w, v, u])/256 + (1173*T20[u, v, w])/1024 + 
     (1173*T20[u, w, v])/1024 + (1173*T20[v, u, w])/1024 + 
     (1173*T20[v, w, u])/1024 + (1173*T20[w, u, v])/1024 + 
     (1173*T20[w, v, u])/1024 - (127*T21[u, v, w])/512 - 
     (127*T21[u, w, v])/512 - (127*T21[v, u, w])/512 - 
     (127*T21[v, w, u])/512 - (127*T21[w, u, v])/512 - 
     (127*T21[w, v, u])/512 - T22[u, v, w]/256 - T22[u, w, v]/256 - 
     T22[v, u, w]/256 - T22[v, w, u]/256 - T22[w, u, v]/256 - 
     T22[w, v, u]/256 + (3*T23[u, v, w])/256 + (3*T23[u, w, v])/256 + 
     (3*T23[v, u, w])/256 + (3*T23[v, w, u])/256 + (3*T23[w, u, v])/256 + 
     (3*T23[w, v, u])/256 + (39*T24[u, v, w])/128 + (39*T24[u, w, v])/128 + 
     (39*T24[v, u, w])/128 + (39*T24[v, w, u])/128 + (39*T24[w, u, v])/128 + 
     (39*T24[w, v, u])/128 + (73*T25[u, v, w])/256 + (73*T25[u, w, v])/256 + 
     (73*T25[v, u, w])/256 + (73*T25[v, w, u])/256 + (73*T25[w, u, v])/256 + 
     (73*T25[w, v, u])/256 + (3*T26[u, v, w])/128 + (3*T26[u, w, v])/128 + 
     (3*T26[v, u, w])/128 + (3*T26[v, w, u])/128 + (3*T26[w, u, v])/128 + 
     (3*T26[w, v, u])/128 + (63*T27[u, v, w])/256 + (63*T27[u, w, v])/256 + 
     (63*T27[v, u, w])/256 + (63*T27[v, w, u])/256 + (63*T27[w, u, v])/256 + 
     (63*T27[w, v, u])/256 + T29[u, v, w]/128 + T29[u, w, v]/128 + 
     T29[v, u, w]/128 + T29[v, w, u]/128 + T29[w, u, v]/128 + 
     T29[w, v, u]/128 - (145*T3[u, v, w])/512 - (145*T3[u, w, v])/512 - 
     (145*T3[v, u, w])/512 - (145*T3[v, w, u])/512 - (145*T3[w, u, v])/512 - 
     (145*T3[w, v, u])/512 + T30[u, v, w]/256 + T30[u, w, v]/256 + 
     T30[v, u, w]/256 + T30[v, w, u]/256 + T30[w, u, v]/256 + 
     T30[w, v, u]/256 + (725*T31[u, v, w])/3072 + (725*T31[u, w, v])/3072 + 
     (725*T31[v, u, w])/3072 + (725*T31[v, w, u])/3072 + 
     (725*T31[w, u, v])/3072 + (725*T31[w, v, u])/3072 + 
     (5*T32[u, v, w])/256 + (5*T32[u, w, v])/256 + (5*T32[v, u, w])/256 + 
     (5*T32[v, w, u])/256 + (5*T32[w, u, v])/256 + (5*T32[w, v, u])/256 + 
     (3*T33[u, v, w])/128 + (3*T33[u, w, v])/128 + (3*T33[v, u, w])/128 + 
     (3*T33[v, w, u])/128 + (3*T33[w, u, v])/128 + (3*T33[w, v, u])/128 + 
     (3*T34[u, v, w])/256 + (3*T34[u, w, v])/256 + (3*T34[v, u, w])/256 + 
     (3*T34[v, w, u])/256 + (3*T34[w, u, v])/256 + (3*T34[w, v, u])/256 + 
     (1165*T35[u, v, w])/3072 + (1165*T35[u, w, v])/3072 + 
     (1165*T35[v, u, w])/3072 + (1165*T35[v, w, u])/3072 + 
     (1165*T35[w, u, v])/3072 + (1165*T35[w, v, u])/3072 + 
     (181*T36[u, v, w])/256 + (181*T36[u, w, v])/256 + 
     (181*T36[v, u, w])/256 + (181*T36[v, w, u])/256 + 
     (181*T36[w, u, v])/256 + (181*T36[w, v, u])/256 + T37[u, v, w]/256 + 
     T37[u, w, v]/256 + T37[v, u, w]/256 + T37[v, w, u]/256 + 
     T37[w, u, v]/256 + T37[w, v, u]/256 + (3*T38[u, v, w])/128 + 
     (3*T38[u, w, v])/128 + (3*T38[v, u, w])/128 + (3*T38[v, w, u])/128 + 
     (3*T38[w, u, v])/128 + (3*T38[w, v, u])/128 + (3*T39[u, v, w])/128 + 
     (3*T39[u, w, v])/128 + (3*T39[v, u, w])/128 + (3*T39[v, w, u])/128 + 
     (3*T39[w, u, v])/128 + (3*T39[w, v, u])/128 - (67*T4[u, v, w])/256 - 
     (67*T4[u, w, v])/256 - (67*T4[v, u, w])/256 - (67*T4[v, w, u])/256 - 
     (67*T4[w, u, v])/256 - (67*T4[w, v, u])/256 + (5*T40[u, v, w])/256 + 
     (5*T40[u, w, v])/256 + (5*T40[v, u, w])/256 + (5*T40[v, w, u])/256 + 
     (5*T40[w, u, v])/256 + (5*T40[w, v, u])/256 - T41[u, v, w]/32 - 
     T41[u, w, v]/32 - T41[v, u, w]/32 - T41[v, w, u]/32 - T41[w, u, v]/32 - 
     T41[w, v, u]/32 - (3*T42[u, v, w])/64 - (3*T42[u, w, v])/64 - 
     (3*T42[v, u, w])/64 - (3*T42[v, w, u])/64 - (3*T42[w, u, v])/64 - 
     (3*T42[w, v, u])/64 - T43[u, v, w]/32 - T43[u, w, v]/32 - 
     T43[v, u, w]/32 - T43[v, w, u]/32 - T43[w, u, v]/32 - T43[w, v, u]/32 + 
     T44[u, v, w]/256 + T44[u, w, v]/256 + T44[v, u, w]/256 + 
     T44[v, w, u]/256 + T44[w, u, v]/256 + T44[w, v, u]/256 - 
     T45[u, v, w]/64 - T45[u, w, v]/64 - T45[v, u, w]/64 - T45[v, w, u]/64 - 
     T45[w, u, v]/64 - T45[w, v, u]/64 - (3*T46[u, v, w])/64 - 
     (3*T46[u, w, v])/64 - (3*T46[v, u, w])/64 - (3*T46[v, w, u])/64 - 
     (3*T46[w, u, v])/64 - (3*T46[w, v, u])/64 - T47[u, v, w]/64 - 
     T47[u, w, v]/64 - T47[v, u, w]/64 - T47[v, w, u]/64 - T47[w, u, v]/64 - 
     T47[w, v, u]/64 + (5*T48[u, v, w])/128 + (5*T48[u, w, v])/128 + 
     (5*T48[v, u, w])/128 + (5*T48[v, w, u])/128 + (5*T48[w, u, v])/128 + 
     (5*T48[w, v, u])/128 - (7*T49[u, v, w])/256 - (7*T49[u, w, v])/256 - 
     (7*T49[v, u, w])/256 - (7*T49[v, w, u])/256 - (7*T49[w, u, v])/256 - 
     (7*T49[w, v, u])/256 - (63*T5[u, v, w])/256 - (63*T5[u, w, v])/256 - 
     (63*T5[v, u, w])/256 - (63*T5[v, w, u])/256 - (63*T5[w, u, v])/256 - 
     (63*T5[w, v, u])/256 - (7*T50[u, v, w])/256 - (7*T50[u, w, v])/256 - 
     (7*T50[v, u, w])/256 - (7*T50[v, w, u])/256 - (7*T50[w, u, v])/256 - 
     (7*T50[w, v, u])/256 - (5*T51[u, v, w])/128 - (5*T51[u, w, v])/128 - 
     (5*T51[v, u, w])/128 - (5*T51[v, w, u])/128 - (5*T51[w, u, v])/128 - 
     (5*T51[w, v, u])/128 + T52[u, v, w]/64 + T52[u, w, v]/64 + 
     T52[v, u, w]/64 + T52[v, w, u]/64 + T52[w, u, v]/64 + T52[w, v, u]/64 + 
     (5*T53[u, v, w])/256 + (5*T53[u, w, v])/256 + (5*T53[v, u, w])/256 + 
     (5*T53[v, w, u])/256 + (5*T53[w, u, v])/256 + (5*T53[w, v, u])/256 + 
     (5*T54[u, v, w])/256 + (5*T54[u, w, v])/256 + (5*T54[v, u, w])/256 + 
     (5*T54[v, w, u])/256 + (5*T54[w, u, v])/256 + (5*T54[w, v, u])/256 - 
     (21*T55[u, v, w])/64 - (21*T55[u, w, v])/64 - (21*T55[v, u, w])/64 - 
     (21*T55[v, w, u])/64 - (21*T55[w, u, v])/64 - (21*T55[w, v, u])/64 + 
     (177*T57[u, v, w])/1024 + (177*T57[u, w, v])/1024 + 
     (177*T57[v, u, w])/1024 + (177*T57[v, w, u])/1024 + 
     (177*T57[w, u, v])/1024 + (177*T57[w, v, u])/1024 - T58[u, v, w]/256 - 
     T58[u, w, v]/256 - T58[v, u, w]/256 - T58[v, w, u]/256 - 
     T58[w, u, v]/256 - T58[w, v, u]/256 - (25*T59[u, v, w])/128 - 
     (25*T59[v, w, u])/128 - (25*T59[w, u, v])/128 - (73*T6[u, v, w])/256 - 
     (73*T6[u, w, v])/256 - (73*T6[v, u, w])/256 - (73*T6[v, w, u])/256 - 
     (73*T6[w, u, v])/256 - (73*T6[w, v, u])/256 - T60[u, v, w]/8 - 
     T60[v, w, u]/8 - T60[w, u, v]/8 - (17*T61[u, v, w])/128 - 
     (17*T61[v, w, u])/128 - (17*T61[w, u, v])/128 - (33*T62[u, v, w])/256 - 
     (33*T62[v, w, u])/256 - (33*T62[w, u, v])/256 - (33*T64[u, v, w])/256 - 
     (33*T64[v, w, u])/256 - (33*T64[w, u, v])/256 - T65[u, v, w]/8 - 
     T65[v, w, u]/8 - T65[w, u, v]/8 - (145*T66[u, v, w])/1024 - 
     (145*T66[v, w, u])/1024 - (145*T66[w, u, v])/1024 + 
     (339*T67[u, v, w])/128 + (339*T67[v, w, u])/128 + 
     (339*T67[w, u, v])/128 + (315*T68[u, v, w])/128 + 
     (315*T68[v, w, u])/128 + (315*T68[w, u, v])/128 - 
     (251*T69[u, v, w])/1536 - (251*T69[v, w, u])/1536 - 
     (251*T69[w, u, v])/1536 - (31*T7[u, v, w])/128 - (31*T7[u, w, v])/128 - 
     (31*T7[v, u, w])/128 - (31*T7[v, w, u])/128 - (31*T7[w, u, v])/128 - 
     (31*T7[w, v, u])/128 - (57*T70[u, v, w])/512 - (57*T70[v, w, u])/512 - 
     (57*T70[w, u, v])/512 - (61*T71[u, v, w])/1536 - 
     (61*T71[v, w, u])/1536 - (61*T71[w, u, v])/1536 + 
     (277*T72[u, v, w])/384 + (277*T72[v, w, u])/384 + 
     (277*T72[w, u, v])/384 + T73[u, v, w]/128 + T73[v, w, u]/128 + 
     T73[w, u, v]/128 + (195*T74[u, v, w])/512 + (195*T74[v, w, u])/512 + 
     (195*T74[w, u, v])/512 + T75[u, v, w]/128 + T75[v, w, u]/128 + 
     T75[w, u, v]/128 - T76[u, v, w]/128 - T76[v, w, u]/128 - 
     T76[w, u, v]/128 - (3*T77[u, v, w])/128 - (3*T77[v, w, u])/128 - 
     (3*T77[w, u, v])/128 - T78[u, v, w]/128 - T78[v, w, u]/128 - 
     T78[w, u, v]/128 + (3827*T80[u, v, w])/9216 + (3827*T80[v, w, u])/9216 + 
     (3827*T80[w, u, v])/9216 - (3*T81[u, v, w])/128 - (3*T81[v, w, u])/128 - 
     (3*T81[w, u, v])/128 + (215*T83[u, v, w])/6144 + 
     (215*T83[v, w, u])/6144 + (215*T83[w, u, v])/6144 - 
     (5*T84[u, v, w])/32 - (5*T84[v, w, u])/32 - (5*T84[w, u, v])/32 + 
     (5*T85[u, v, w])/256 + (5*T85[v, w, u])/256 + (5*T85[w, u, v])/256 - 
     T86[u, v, w]/1024 - T86[v, w, u]/1024 - T86[w, u, v]/1024 - 
     T87[u, v, w]/256 - T87[v, w, u]/256 - T87[w, u, v]/256 + 
     T88[u, v, w]/512 + T88[v, w, u]/512 + T88[w, u, v]/512 - 
     (29*T89[u, v, w])/256 - (29*T89[v, w, u])/256 - (29*T89[w, u, v])/256 - 
     (63*T9[u, v, w])/256 - (63*T9[u, w, v])/256 - (63*T9[v, u, w])/256 - 
     (63*T9[v, w, u])/256 - (63*T9[w, u, v])/256 - (63*T9[w, v, u])/256 + 
     (5551*T90[u, v, w])/1536 + (5551*T90[v, w, u])/1536 + 
     (5551*T90[w, u, v])/1536 + (12327*T91[u, v, w])/64 + 
     (12327*T91[v, w, u])/64 + (12327*T91[w, u, v])/64 + 
     (21*T92[u, v, w])/64 + (21*T92[v, w, u])/64 + (21*T92[w, u, v])/64 - 
     (18465*T93[u, v, w])/4096 - (18465*T93[v, w, u])/4096 - 
     (18465*T93[w, u, v])/4096 + (12643*T94[u, v, w])/3072 + 
     (12643*T94[v, w, u])/3072 + (12643*T94[w, u, v])/3072 - 
     (79*T95[u, v, w])/1024 - (79*T95[v, w, u])/1024 - 
     (79*T95[w, u, v])/1024 + (6113*T96[u, v, w])/6144 + 
     (6113*T96[v, w, u])/6144 + (6113*T96[w, u, v])/6144 - 
     (3427*T97[u, v, w])/6144 - (3427*T97[v, w, u])/6144 - 
     (3427*T97[w, u, v])/6144 + (46337*B1[u, v, w]*\[Zeta][2])/3072 + 
     (46337*B1[u, w, v]*\[Zeta][2])/3072 + (46337*B1[v, u, w]*\[Zeta][2])/
      3072 + (46337*B1[v, w, u]*\[Zeta][2])/3072 + 
     (46337*B1[w, u, v]*\[Zeta][2])/3072 + (46337*B1[w, v, u]*\[Zeta][2])/
      3072 + (15*B10[u, v, w]*\[Zeta][2])/16 + (15*B10[v, w, u]*\[Zeta][2])/
      16 + (15*B10[w, u, v]*\[Zeta][2])/16 - (44083*B11[u, v, w]*\[Zeta][2])/
      768 - (44083*B11[v, w, u]*\[Zeta][2])/768 - 
     (44083*B11[w, u, v]*\[Zeta][2])/768 + (5657*B2[u, v, w]*\[Zeta][2])/
      192 + (5657*B2[u, w, v]*\[Zeta][2])/192 + (5657*B2[v, u, w]*\[Zeta][2])/
      192 + (5657*B2[v, w, u]*\[Zeta][2])/192 + (5657*B2[w, u, v]*\[Zeta][2])/
      192 + (5657*B2[w, v, u]*\[Zeta][2])/192 + 
     (48293*B3[u, v, w]*\[Zeta][2])/3072 + (48293*B3[v, w, u]*\[Zeta][2])/
      3072 + (48293*B3[w, u, v]*\[Zeta][2])/3072 + 
     (44731*B4[u, v, w]*\[Zeta][2])/1536 + (44731*B4[v, w, u]*\[Zeta][2])/
      1536 + (44731*B4[w, u, v]*\[Zeta][2])/1536 - 
     (15*B5[u, v, w]*\[Zeta][2])/32 - (15*B5[u, w, v]*\[Zeta][2])/32 - 
     (15*B5[v, u, w]*\[Zeta][2])/32 - (15*B5[v, w, u]*\[Zeta][2])/32 - 
     (15*B5[w, u, v]*\[Zeta][2])/32 - (15*B5[w, v, u]*\[Zeta][2])/32 + 
     (57*B6[u, v, w]*\[Zeta][2])/512 + (57*B6[u, w, v]*\[Zeta][2])/512 + 
     (57*B6[v, u, w]*\[Zeta][2])/512 + (57*B6[v, w, u]*\[Zeta][2])/512 + 
     (57*B6[w, u, v]*\[Zeta][2])/512 + (57*B6[w, v, u]*\[Zeta][2])/512 + 
     (104479*B7[u, v, w]*\[Zeta][2])/3072 + (104479*B7[v, w, u]*\[Zeta][2])/
      3072 + (104479*B7[w, u, v]*\[Zeta][2])/3072 - 
     (27443*B8[u, v, w]*\[Zeta][2])/1024 - (27443*B8[v, w, u]*\[Zeta][2])/
      1024 - (27443*B8[w, u, v]*\[Zeta][2])/1024 - 
     (2245963*B9[u, v, w]*\[Zeta][2])/6144 - (2245963*B9[v, w, u]*\[Zeta][2])/
      6144 - (2245963*B9[w, u, v]*\[Zeta][2])/6144 + 
     (2755*HPL[{1}, 1 - u]^6*\[Zeta][2])/18432 + 
     (42325*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - v]*\[Zeta][2])/73728 - 
     (41071*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2*\[Zeta][2])/73728 - 
     (4205273*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3*\[Zeta][2])/36864 - 
     (26239*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4*\[Zeta][2])/73728 + 
     (42325*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^5*\[Zeta][2])/73728 + 
     (2755*HPL[{1}, 1 - v]^6*\[Zeta][2])/18432 + 
     (42325*HPL[{1}, 1 - u]^5*HPL[{1}, 1 - w]*\[Zeta][2])/73728 + 
     (362675*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2])/
      36864 + (6057493*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       \[Zeta][2])/73728 + (6048997*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*
       HPL[{1}, 1 - w]*\[Zeta][2])/73728 + 
     (362675*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*\[Zeta][2])/
      36864 + (42325*HPL[{1}, 1 - v]^5*HPL[{1}, 1 - w]*\[Zeta][2])/73728 - 
     (18463*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^2*\[Zeta][2])/73728 + 
     (6056773*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][2])/
      73728 - (9257365*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
       \[Zeta][2])/24576 + (6041941*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
       HPL[{1}, 1 - w]^2*\[Zeta][2])/73728 - 
     (33295*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2*\[Zeta][2])/73728 - 
     (4216937*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^3*\[Zeta][2])/36864 + 
     (6049717*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*\[Zeta][2])/
      73728 + (6064549*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*
       \[Zeta][2])/73728 - (4205273*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3*
       \[Zeta][2])/36864 - (25519*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4*
       \[Zeta][2])/73728 + (362675*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^4*\[Zeta][2])/36864 - 
     (34015*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4*\[Zeta][2])/73728 + 
     (42325*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^5*\[Zeta][2])/73728 + 
     (42325*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^5*\[Zeta][2])/73728 + 
     (2755*HPL[{1}, 1 - w]^6*\[Zeta][2])/18432 + 
     (203327*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - u]*\[Zeta][2])/36864 - 
     (4149355*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       \[Zeta][2])/73728 - (23389345*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - u]*\[Zeta][2])/73728 - 
     (21432277*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
       \[Zeta][2])/110592 - (235885*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u]*
       \[Zeta][2])/73728 - (431891*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*\[Zeta][2])/8192 + 
     (25898401*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*\[Zeta][2])/24576 + 
     (30477485*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*\[Zeta][2])/73728 + 
     (6219547*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       \[Zeta][2])/36864 - (7847867*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u]*\[Zeta][2])/24576 + 
     (26877997*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u]*\[Zeta][2])/73728 - 
     (9059009*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       \[Zeta][2])/36864 - (19222645*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u]*\[Zeta][2])/110592 + 
     (6444955*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*
       \[Zeta][2])/36864 - (53807*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u]*
       \[Zeta][2])/24576 - (825035*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]^2*
       \[Zeta][2])/4096 + (3692755*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - u]^2*\[Zeta][2])/73728 - 
     (235241*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2*\[Zeta][2])/12288 + 
     (3390355*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*
       \[Zeta][2])/73728 + (1435829*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]^2*\[Zeta][2])/9216 - 
     (151331*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2*\[Zeta][2])/4096 + 
     (1246043*HPL[{0, 1}, 1 - u]^3*\[Zeta][2])/6144 - 
     (97613*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - v]*\[Zeta][2])/73728 - 
     (20324149*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/110592 - (22620929*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/73728 - 
     (3981419*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/73728 + (203327*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/36864 + (6251035*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/36864 + 
     (3069189*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/8192 + 
     (8570091*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/8192 - 
     (4054955*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/73728 - (8711561*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/36864 + 
     (9959615*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/24576 - 
     (23747633*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/73728 + (6041635*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/36864 - 
     (20549869*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/110592 - (250925*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/73728 - (4660831*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/24576 + 
     (351763*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/2048 - 
     (4550687*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/24576 + (10714481*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][2])/12288 + 
     (11366305*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*\[Zeta][2])/12288 + 
     (2365667*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/73728 + (2778083*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
       \[Zeta][2])/12288 - (198819*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^2*
       \[Zeta][2])/4096 + (3520531*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - v]^2*\[Zeta][2])/73728 - 
     (825035*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]^2*\[Zeta][2])/4096 + 
     (1455929*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
       \[Zeta][2])/9216 + (3562579*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]^2*\[Zeta][2])/73728 - 
     (39859*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2*\[Zeta][2])/4096 + 
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     (1246043*HPL[{0, 1}, 1 - v]^3*\[Zeta][2])/6144 - 
     (104911*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - w]*\[Zeta][2])/24576 + 
     (6451075*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/36864 - (9540065*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/36864 + 
     (6741427*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/36864 - (176461*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/73728 - (20094925*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/110592 + 
     (29565181*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/73728 + 
     (27259229*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/73728 - 
     (19763389*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/110592 - (2682137*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/8192 + 
     (26042081*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/24576 - 
     (23224753*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/73728 - (1351481*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/24576 - 
     (3981931*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/73728 + (203327*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/36864 - (4479647*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/24576 + 
     (3803643*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/4096 + 
     (3424547*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/73728 + (879241*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][2])/6144 + 
     (10738913*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/12288 - 
     (4518751*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/24576 + (2778083*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/12288 + (2905475*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/73728 + 
     (10604321*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/12288 - 
     (4589791*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/24576 + (11583809*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2])/12288 + 
     (956633*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/6144 - 
     (4621727*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/24576 + (2907577*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2])/12288 + 
     (2778083*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2])/12288 - 
     (67081*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]^2*\[Zeta][2])/12288 + 
     (1355321*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
       \[Zeta][2])/9216 - (171603*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2*
       \[Zeta][2])/4096 + (3432403*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]^2*\[Zeta][2])/73728 + 
     (3650707*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*
       \[Zeta][2])/73728 - (825035*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2*
       \[Zeta][2])/4096 + (2778083*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*
       \[Zeta][2])/12288 + (2778083*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*
       \[Zeta][2])/12288 + (1246043*HPL[{0, 1}, 1 - w]^3*\[Zeta][2])/6144 + 
     (31849*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/2048 - 
     (843881*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/36864 - (99847*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/8192 + 
     (43*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/384 - 
     (934313*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/36864 - (9929189*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/18432 - 
     (332801*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/3072 - (272501*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/24576 - 
     (110967*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/1024 + (61*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/768 - (1229617*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/1536 + 
     (38803*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/3072 + (29203*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/3072 - 
     (2919539*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/3072 - (19005*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/256 + 
     (308129*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/3072 - (2903659*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/3072 + 
     (99443*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][2])/1024 - (57065*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/768 + 
     (45*HPL[{0, 0, 1}, 1 - u]^2*\[Zeta][2])/128 + 
     (601*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/768 - 
     (322613*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/24576 - (903209*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/36864 + 
     (31849*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/2048 - 
     (111327*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/1024 - (9882533*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/18432 - 
     (874985*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/36864 - (334961*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/3072 - 
     (103879*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/8192 + (89*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/192 - (55985*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/768 - 
     (2910331*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/3072 + (100227*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/1024 + 
     (33715*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/3072 - (1229617*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/1536 + 
     (34291*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/3072 + (299297*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/3072 - 
     (2912867*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][2])/3072 - (18825*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/256 - 
     (6441929*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/9216 + 
     (45*HPL[{0, 0, 1}, 1 - v]^2*\[Zeta][2])/128 - 
     (23*HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/96 - 
     (333881*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/3072 - (110607*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/1024 + 
     (331*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/768 - 
     (87175*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/8192 - (9929189*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/18432 - 
     (310517*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/24576 - (906089*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/36864 - 
     (872105*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/36864 + (31849*HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/2048 - (19185*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/256 + 
     (296945*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/3072 - (2906195*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/3072 + 
     (103171*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/1024 - (56525*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/768 - 
     (2917003*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/3072 + (29779*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/3072 + 
     (38227*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][2])/3072 - (1229617*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/1536 - 
     (6441929*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/9216 - 
     (6441929*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/9216 + 
     (45*HPL[{0, 0, 1}, 1 - w]^2*\[Zeta][2])/128 - 
     (4639*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/9216 + 
     (1044019*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/18432 + (11058283*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/18432 - 
     (1005157*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/27648 + 
     (1089235*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/18432 - (16844647*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/18432 - 
     (13517317*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/18432 + (11075683*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/18432 - 
     (13517917*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/18432 - (1006057*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/27648 + (259*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/1024 - 
     (1262359*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/36864 - (1007191*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/36864 - 
     (406701*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/2048 - (620791*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/2048 + 
     (386281*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/6144 - (1310359*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/6144 + 
     (143443*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][2])/2048 - (1860853*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/6144 - 
     (5207*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/3072 - 
     (91729*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/1024 - 
     (91729*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/1024 - 
     (365*HPL[{0, 1, 1}, 1 - u]^2*\[Zeta][2])/256 - 
     (986617*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/27648 + 
     (11100307*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/18432 + (1073683*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/18432 - 
     (4639*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/9216 - 
     (13524397*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/18432 - (16891303*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/18432 + 
     (1059571*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/18432 - (13530277*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/18432 + 
     (11080315*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/18432 - (995437*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/27648 - (1893685*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/6144 - 
     (426269*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/2048 + (431609*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/6144 - 
     (1098007*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/36864 + (259*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/1024 - 
     (1171543*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/36864 + (434249*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/6144 - 
     (1251655*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][2])/6144 - (626263*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/2048 - 
     (91729*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/1024 - 
     (5207*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/3072 - 
     (91729*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/1024 + 
     (3655921*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/1536 - 
     (365*HPL[{0, 1, 1}, 1 - v]^2*\[Zeta][2])/256 - 
     (1014877*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/27648 - 
     (13523797*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/18432 - (13511437*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/18432 - 
     (996337*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/27648 + 
     (11055691*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/18432 - (16844647*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/18432 + 
     (11078275*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/18432 + (1075123*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/18432 + 
     (1058131*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/18432 - (4639*HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/9216 - (615319*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/2048 + 
     (139107*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/2048 - (1267559*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/6144 + 
     (399289*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/6144 - (1877269*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/6144 - 
     (1262903*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/6144 - (1174615*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/36864 - 
     (1094935*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][2])/36864 + (259*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/1024 - 
     (91729*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/1024 - 
     (91729*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/1024 - 
     (5207*HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/3072 + 
     (3655921*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/1536 + 
     (3655921*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/1536 - 
     (365*HPL[{0, 1, 1}, 1 - w]^2*\[Zeta][2])/256 + 
     (52051*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2])/3072 - 
     (77269*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
       \[Zeta][2])/384 + (136315*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - u]*
       \[Zeta][2])/3072 - (76327*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2])/384 - 
     (2380885*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
       \[Zeta][2])/1536 + (136075*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u]*
       \[Zeta][2])/3072 - (1228243*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2])/1536 - 
     (1338245*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2])/1536 - 
     (1338245*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2])/1536 + 
     (141259*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2])/3072 - 
     (76651*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*
       \[Zeta][2])/384 + (52051*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - v]*
       \[Zeta][2])/3072 - (2384773*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2])/1536 - 
     (76945*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*
       \[Zeta][2])/384 + (138907*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v]*
       \[Zeta][2])/3072 - (1338245*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2])/1536 - 
     (1228243*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2])/1536 - 
     (1338245*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2])/1536 + 
     (133723*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][2])/3072 - 
     (2380885*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*
       \[Zeta][2])/1536 + (138667*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - w]*
       \[Zeta][2])/3072 - (76621*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][2])/384 - 
     (76975*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*
       \[Zeta][2])/384 + (52051*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w]*
       \[Zeta][2])/3072 - (1338245*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][2])/1536 - 
     (1338245*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][2])/1536 - 
     (1228243*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][2])/1536 - 
     (89*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2])/64 - 
     (637975*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
       \[Zeta][2])/2304 - (909481*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - u]*
       \[Zeta][2])/12288 - (609715*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2])/2304 - 
     (14721*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
       \[Zeta][2])/1024 - (914281*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u]*
       \[Zeta][2])/12288 - (23*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*
       \[Zeta][2])/16 + (68311*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*
       \[Zeta][2])/1536 + (68311*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*
       \[Zeta][2])/1536 - (810601*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - v]*
       \[Zeta][2])/12288 - (619435*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2])/2304 - 
     (89*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2])/64 - 
     (27681*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*
       \[Zeta][2])/1024 - (628255*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2])/2304 - 
     (857641*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2])/12288 + 
     (68311*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2])/1536 - 
     (23*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2])/16 + 
     (68311*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2])/1536 - 
     (961321*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2])/12288 - 
     (14721*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
       \[Zeta][2])/1024 - (862441*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - w]*
       \[Zeta][2])/12288 - (618535*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2])/2304 - 
     (629155*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
       \[Zeta][2])/2304 - (89*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w]*
       \[Zeta][2])/64 + (68311*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*
       \[Zeta][2])/1536 + (68311*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*
       \[Zeta][2])/1536 - (23*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*
       \[Zeta][2])/16 - (49611*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - u]*
       \[Zeta][2])/2048 - (281883*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2])/1024 + 
     (65659*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2])/12288 - 
     (289419*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*
       \[Zeta][2])/1024 + (1293479*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2])/1536 + 
     (68539*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2])/12288 + 
     (1228603*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2])/1024 + 
     (635555*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2])/512 + 
     (635555*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2])/512 + 
     (6331*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2])/12288 - 
     (286827*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*
       \[Zeta][2])/1024 - (49611*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - v]*
       \[Zeta][2])/2048 + (1305143*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2])/1536 - 
     (284475*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*
       \[Zeta][2])/1024 + (34555*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v]*
       \[Zeta][2])/12288 + (635555*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2])/512 + 
     (1228603*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2])/1024 + 
     (635555*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2])/512 + 
     (96763*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2])/12288 + 
     (1293479*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
       \[Zeta][2])/1536 + (37435*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - w]*
       \[Zeta][2])/12288 - (287067*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2])/1024 - 
     (284235*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
       \[Zeta][2])/1024 - (49611*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w]*
       \[Zeta][2])/2048 + (635555*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*
       \[Zeta][2])/512 + (635555*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*
       \[Zeta][2])/512 + (1228603*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*
       \[Zeta][2])/1024 + (11*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
       \[Zeta][2])/64 - (49*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
       \[Zeta][2])/64 - (49*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - u]*
       \[Zeta][2])/64 - (49*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
       \[Zeta][2])/64 + (11*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
       \[Zeta][2])/64 - (49*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - v]*
       \[Zeta][2])/64 - (49*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
       \[Zeta][2])/64 - (49*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
       \[Zeta][2])/64 + (11*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w]*
       \[Zeta][2])/64 + (209*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
       \[Zeta][2])/64 + (187*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
       \[Zeta][2])/64 + (187*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u]*
       \[Zeta][2])/64 + (187*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
       \[Zeta][2])/64 + (209*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
       \[Zeta][2])/64 + (187*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v]*
       \[Zeta][2])/64 + (187*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
       \[Zeta][2])/64 + (187*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
       \[Zeta][2])/64 + (209*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w]*
       \[Zeta][2])/64 + (69*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
       \[Zeta][2])/64 + (29*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
       \[Zeta][2])/32 + (29*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u]*
       \[Zeta][2])/32 + (29*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
       \[Zeta][2])/32 + (69*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
       \[Zeta][2])/64 + (29*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v]*
       \[Zeta][2])/32 + (29*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
       \[Zeta][2])/32 + (29*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
       \[Zeta][2])/32 + (69*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w]*
       \[Zeta][2])/64 + (153*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
       \[Zeta][2])/16 + (4862291*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u]*
       \[Zeta][2])/12288 + (4862291*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 
        1 - u]*\[Zeta][2])/12288 + (4862291*HPL[{1}, 1 - u]*
       HPL[{0, 0, 1, 1, 1}, 1 - v]*\[Zeta][2])/12288 + 
     (153*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v]*\[Zeta][2])/16 + 
     (4862291*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v]*\[Zeta][2])/12288 + 
     (4862291*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w]*\[Zeta][2])/12288 + 
     (4862291*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w]*\[Zeta][2])/12288 + 
     (153*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w]*\[Zeta][2])/16 + 
     (319*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u]*\[Zeta][2])/128 + 
     (4899059*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u]*\[Zeta][2])/36864 + 
     (4899059*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u]*\[Zeta][2])/36864 + 
     (4899059*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v]*\[Zeta][2])/36864 + 
     (319*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v]*\[Zeta][2])/128 + 
     (4899059*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v]*\[Zeta][2])/36864 + 
     (4899059*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w]*\[Zeta][2])/36864 + 
     (4899059*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w]*\[Zeta][2])/36864 + 
     (319*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w]*\[Zeta][2])/128 - 
     (11*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u]*\[Zeta][2])/32 + 
     (20399*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u]*\[Zeta][2])/256 + 
     (20399*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u]*\[Zeta][2])/256 + 
     (20399*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v]*\[Zeta][2])/256 - 
     (11*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v]*\[Zeta][2])/32 + 
     (20399*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v]*\[Zeta][2])/256 + 
     (20399*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w]*\[Zeta][2])/256 + 
     (20399*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w]*\[Zeta][2])/256 - 
     (11*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w]*\[Zeta][2])/32 + 
     (15*HPL[{0, 0, 0, 0, 0, 1}, 1 - u]*\[Zeta][2])/16 + 
     (15*HPL[{0, 0, 0, 0, 0, 1}, 1 - v]*\[Zeta][2])/16 + 
     (15*HPL[{0, 0, 0, 0, 0, 1}, 1 - w]*\[Zeta][2])/16 - 
     (9*HPL[{0, 0, 0, 0, 1, 1}, 1 - u]*\[Zeta][2])/16 - 
     (9*HPL[{0, 0, 0, 0, 1, 1}, 1 - v]*\[Zeta][2])/16 - 
     (9*HPL[{0, 0, 0, 0, 1, 1}, 1 - w]*\[Zeta][2])/16 - 
     (3*HPL[{0, 0, 0, 1, 0, 1}, 1 - u]*\[Zeta][2])/8 - 
     (3*HPL[{0, 0, 0, 1, 0, 1}, 1 - v]*\[Zeta][2])/8 - 
     (3*HPL[{0, 0, 0, 1, 0, 1}, 1 - w]*\[Zeta][2])/8 + 
     (567*HPL[{0, 0, 0, 1, 1, 1}, 1 - u]*\[Zeta][2])/64 + 
     (567*HPL[{0, 0, 0, 1, 1, 1}, 1 - v]*\[Zeta][2])/64 + 
     (567*HPL[{0, 0, 0, 1, 1, 1}, 1 - w]*\[Zeta][2])/64 + 
     (235*HPL[{0, 0, 1, 0, 1, 1}, 1 - u]*\[Zeta][2])/64 + 
     (235*HPL[{0, 0, 1, 0, 1, 1}, 1 - v]*\[Zeta][2])/64 + 
     (235*HPL[{0, 0, 1, 0, 1, 1}, 1 - w]*\[Zeta][2])/64 + 
     (33*HPL[{0, 0, 1, 1, 0, 1}, 1 - u]*\[Zeta][2])/32 + 
     (33*HPL[{0, 0, 1, 1, 0, 1}, 1 - v]*\[Zeta][2])/32 + 
     (33*HPL[{0, 0, 1, 1, 0, 1}, 1 - w]*\[Zeta][2])/32 - 
     (51*HPL[{0, 0, 1, 1, 1, 1}, 1 - u]*\[Zeta][2])/32 - 
     (51*HPL[{0, 0, 1, 1, 1, 1}, 1 - v]*\[Zeta][2])/32 - 
     (51*HPL[{0, 0, 1, 1, 1, 1}, 1 - w]*\[Zeta][2])/32 - 
     (5*HPL[{0, 1, 0, 1, 1, 1}, 1 - u]*\[Zeta][2])/16 - 
     (5*HPL[{0, 1, 0, 1, 1, 1}, 1 - v]*\[Zeta][2])/16 - 
     (5*HPL[{0, 1, 0, 1, 1, 1}, 1 - w]*\[Zeta][2])/16 - 
     (25*HPL[{0, 1, 1, 1, 1, 1}, 1 - u]*\[Zeta][2])/32 - 
     (25*HPL[{0, 1, 1, 1, 1, 1}, 1 - v]*\[Zeta][2])/32 - 
     (25*HPL[{0, 1, 1, 1, 1, 1}, 1 - w]*\[Zeta][2])/32 - 
     (157*HPL[{1}, 1 - u]*M1[u, v, w]*\[Zeta][2])/128 + 
     (5*HPL[{1}, 1 - v]*M1[u, v, w]*\[Zeta][2])/128 + 
     (5*HPL[{1}, 1 - w]*M1[u, v, w]*\[Zeta][2])/128 + 
     (27*HPL[{1}, 1 - u]*M1[v, u, w]*\[Zeta][2])/32 - 
     (27*HPL[{1}, 1 - v]*M1[v, u, w]*\[Zeta][2])/64 - 
     (27*HPL[{1}, 1 - w]*M1[v, u, w]*\[Zeta][2])/64 - 
     (103*HPL[{1}, 1 - u]*M1[v, w, u]*\[Zeta][2])/128 - 
     (103*HPL[{1}, 1 - v]*M1[v, w, u]*\[Zeta][2])/128 + 
     (59*HPL[{1}, 1 - w]*M1[v, w, u]*\[Zeta][2])/128 - 
     (49*HPL[{1}, 1 - u]*M1[w, u, v]*\[Zeta][2])/128 - 
     (49*HPL[{1}, 1 - v]*M1[w, u, v]*\[Zeta][2])/128 - 
     (49*HPL[{1}, 1 - w]*M1[w, u, v]*\[Zeta][2])/128 + 
     (27*HPL[{1}, 1 - u]*M1[w, v, u]*\[Zeta][2])/64 + 
     (27*HPL[{1}, 1 - v]*M1[w, v, u]*\[Zeta][2])/64 - 
     (27*HPL[{1}, 1 - w]*M1[w, v, u]*\[Zeta][2])/32 + 
     (58171*HPL[{1}, 1 - u]^2*Omega2[u, v, w]*\[Zeta][2])/6144 + 
     (1276813*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[u, v, w]*\[Zeta][2])/
      3072 + (48283*HPL[{1}, 1 - v]^2*Omega2[u, v, w]*\[Zeta][2])/6144 - 
     (1218097*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[u, v, w]*\[Zeta][2])/
      3072 - (1215265*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w]*
       \[Zeta][2])/3072 + (54643*HPL[{1}, 1 - w]^2*Omega2[u, v, w]*
       \[Zeta][2])/6144 - (1228219*HPL[{0, 1}, 1 - u]*Omega2[u, v, w]*
       \[Zeta][2])/3072 - (1228219*HPL[{0, 1}, 1 - v]*Omega2[u, v, w]*
       \[Zeta][2])/3072 - (482677*HPL[{0, 1}, 1 - w]*Omega2[u, v, w]*
       \[Zeta][2])/1024 + (54643*HPL[{1}, 1 - u]^2*Omega2[v, w, u]*
       \[Zeta][2])/6144 - (1212913*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       Omega2[v, w, u]*\[Zeta][2])/3072 + 
     (52987*HPL[{1}, 1 - v]^2*Omega2[v, w, u]*\[Zeta][2])/6144 - 
     (1220449*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[v, w, u]*\[Zeta][2])/
      3072 + (1276813*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[v, w, u]*
       \[Zeta][2])/3072 + (53467*HPL[{1}, 1 - w]^2*Omega2[v, w, u]*
       \[Zeta][2])/6144 - (482677*HPL[{0, 1}, 1 - u]*Omega2[v, w, u]*
       \[Zeta][2])/1024 - (1228219*HPL[{0, 1}, 1 - v]*Omega2[v, w, u]*
       \[Zeta][2])/3072 - (1228219*HPL[{0, 1}, 1 - w]*Omega2[v, w, u]*
       \[Zeta][2])/3072 + (43099*HPL[{1}, 1 - u]^2*Omega2[w, u, v]*
       \[Zeta][2])/6144 - (1217857*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       Omega2[w, u, v]*\[Zeta][2])/3072 + 
     (54643*HPL[{1}, 1 - v]^2*Omega2[w, u, v]*\[Zeta][2])/6144 + 
     (1284589*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[w, u, v]*\[Zeta][2])/
      3072 - (1215505*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[w, u, v]*
       \[Zeta][2])/3072 + (47803*HPL[{1}, 1 - w]^2*Omega2[w, u, v]*
       \[Zeta][2])/6144 - (1228219*HPL[{0, 1}, 1 - u]*Omega2[w, u, v]*
       \[Zeta][2])/3072 - (482677*HPL[{0, 1}, 1 - v]*Omega2[w, u, v]*
       \[Zeta][2])/1024 - (1228219*HPL[{0, 1}, 1 - w]*Omega2[w, u, v]*
       \[Zeta][2])/3072 + (49*HPL[{1}, 1 - u]*Ot[u, v, w]*\[Zeta][2])/128 + 
     (49*HPL[{1}, 1 - v]*Ot[u, v, w]*\[Zeta][2])/128 + 
     (49*HPL[{1}, 1 - w]*Ot[u, v, w]*\[Zeta][2])/128 + 
     (48001*Phi6[u, v, w]^2*\[Zeta][2])/256 - 
     (263*HPL[{1}, 1 - u]*Qep[u, v, w]*\[Zeta][2])/48 + 
     10*HPL[{1}, 1 - v]*Qep[u, v, w]*\[Zeta][2] - 
     (217*HPL[{1}, 1 - w]*Qep[u, v, w]*\[Zeta][2])/48 - 
     (1519*HPL[{1}, 1 - u]*Qep[u, w, v]*\[Zeta][2])/48 - 
     (59*HPL[{1}, 1 - v]*Qep[u, w, v]*\[Zeta][2])/16 + 
     (65*HPL[{1}, 1 - w]*Qep[u, w, v]*\[Zeta][2])/6 - 
     (43*HPL[{1}, 1 - u]*Qep[v, u, w]*\[Zeta][2])/6 - 
     (1087*HPL[{1}, 1 - v]*Qep[v, u, w]*\[Zeta][2])/48 + 
     (85*HPL[{1}, 1 - w]*Qep[v, u, w]*\[Zeta][2])/16 + 
     (647*HPL[{1}, 1 - u]*Qep[v, w, u]*\[Zeta][2])/48 - 
     (695*HPL[{1}, 1 - v]*Qep[v, w, u]*\[Zeta][2])/48 + 
     HPL[{1}, 1 - w]*Qep[v, w, u]*\[Zeta][2] + 19*HPL[{1}, 1 - u]*
      Qep[w, u, v]*\[Zeta][2] + (215*HPL[{1}, 1 - v]*Qep[w, u, v]*\[Zeta][2])/
      48 - (1127*HPL[{1}, 1 - w]*Qep[w, u, v]*\[Zeta][2])/48 - 
     (203*HPL[{1}, 1 - u]*Qep[w, v, u]*\[Zeta][2])/16 + 
     (11*HPL[{1}, 1 - v]*Qep[w, v, u]*\[Zeta][2])/6 - 
     (655*HPL[{1}, 1 - w]*Qep[w, v, u]*\[Zeta][2])/48 - 
     (68731*HPL[{1}, 1 - u]^4*\[Zeta][2]^2)/12288 - 
     (135721*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*\[Zeta][2]^2)/1920 + 
     (39938033*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*\[Zeta][2]^2)/61440 - 
     (135721*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*\[Zeta][2]^2)/1920 - 
     (68731*HPL[{1}, 1 - v]^4*\[Zeta][2]^2)/12288 - 
     (135721*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*\[Zeta][2]^2)/1920 - 
     (44861543*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       \[Zeta][2]^2)/92160 - (44861543*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*\[Zeta][2]^2)/92160 - 
     (135721*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*\[Zeta][2]^2)/1920 + 
     (39938033*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*\[Zeta][2]^2)/61440 - 
     (44861543*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       \[Zeta][2]^2)/92160 + (39938033*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
       \[Zeta][2]^2)/61440 - (135721*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       \[Zeta][2]^2)/1920 - (135721*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       \[Zeta][2]^2)/1920 - (68731*HPL[{1}, 1 - w]^4*\[Zeta][2]^2)/12288 + 
     (5018005*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2]^2)/6144 + 
     (100003*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2]^2)/
      7680 + (26864179*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2]^2)/
      30720 + (175363*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       \[Zeta][2]^2)/7680 - (14332661*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*\[Zeta][2]^2)/15360 + 
     (26854579*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2]^2)/30720 + 
     (11573207*HPL[{0, 1}, 1 - u]^2*\[Zeta][2]^2)/30720 + 
     (27061939*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2]^2)/30720 + 
     (149443*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][2]^2)/
      7680 + (5018005*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2]^2)/
      6144 - (14488181*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       \[Zeta][2]^2)/15360 + (125923*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*\[Zeta][2]^2)/7680 + 
     (26967859*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2]^2)/30720 + 
     (8827559*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][2]^2)/5120 + 
     (11573207*HPL[{0, 1}, 1 - v]^2*\[Zeta][2]^2)/30720 + 
     (26760499*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2)/30720 - 
     (14332661*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2]^2)/15360 + (26958259*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*
       \[Zeta][2]^2)/30720 + (151843*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w]*\[Zeta][2]^2)/7680 + 
     (123523*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2)/
      7680 + (5018005*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2)/
      6144 + (8827559*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2)/
      5120 + (8827559*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2)/
      5120 + (11573207*HPL[{0, 1}, 1 - w]^2*\[Zeta][2]^2)/30720 + 
     (13055653*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2]^2)/7680 - 
     (5023*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2]^2)/640 - 
     (5023*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2]^2)/640 - 
     (5023*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2]^2)/640 + 
     (13055653*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2]^2)/7680 - 
     (5023*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2]^2)/640 - 
     (5023*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2]^2)/640 - 
     (5023*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2]^2)/640 + 
     (13055653*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2]^2)/7680 + 
     (343*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2]^2)/64 - 
     (1563809*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2]^2)/960 - 
     (1563809*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2]^2)/960 - 
     (1563809*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2]^2)/960 + 
     (343*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2]^2)/64 - 
     (1563809*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2]^2)/960 - 
     (1563809*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2]^2)/960 - 
     (1563809*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2]^2)/960 + 
     (343*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2]^2)/64 + 
     (13073347*HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2]^2)/7680 + 
     (13073347*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2]^2)/7680 + 
     (13073347*HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][2]^2)/7680 + 
     (807*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2]^2)/160 + 
     (807*HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2]^2)/160 + 
     (807*HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2]^2)/160 - 
     (13089907*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2]^2)/5120 - 
     (13089907*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2]^2)/5120 - 
     (13089907*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2]^2)/5120 + 
     (13080691*Omega2[u, v, w]*\[Zeta][2]^2)/15360 + 
     (13080691*Omega2[v, w, u]*\[Zeta][2]^2)/15360 + 
     (13080691*Omega2[w, u, v]*\[Zeta][2]^2)/15360 - 
     (86820697*HPL[{1}, 1 - u]^2*\[Zeta][2]^3)/107520 - 
     (9555583*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][2]^3)/32256 - 
     (86820697*HPL[{1}, 1 - v]^2*\[Zeta][2]^3)/107520 - 
     (9555583*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*\[Zeta][2]^3)/32256 - 
     (9555583*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2]^3)/32256 - 
     (86820697*HPL[{1}, 1 - w]^2*\[Zeta][2]^3)/107520 - 
     (257356741*HPL[{0, 1}, 1 - u]*\[Zeta][2]^3)/53760 - 
     (257356741*HPL[{0, 1}, 1 - v]*\[Zeta][2]^3)/53760 - 
     (257356741*HPL[{0, 1}, 1 - w]*\[Zeta][2]^3)/53760 + 
     (69211389*\[Zeta][2]^4)/11200 + (805*HPL[{1}, 1 - u]^5*\[Zeta][3])/
      2304 - (259*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*\[Zeta][3])/6144 + 
     (82073*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*\[Zeta][3])/36864 + 
     (1900703*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*\[Zeta][3])/36864 - 
     (259*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*\[Zeta][3])/6144 + 
     (805*HPL[{1}, 1 - v]^5*\[Zeta][3])/2304 - 
     (259*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]*\[Zeta][3])/6144 - 
     (27667*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][3])/
      18432 - (1461103*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       \[Zeta][3])/36864 - (27667*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*
       HPL[{1}, 1 - w]*\[Zeta][3])/18432 - 
     (259*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]*\[Zeta][3])/6144 + 
     (1900703*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^2*\[Zeta][3])/36864 - 
     (1461103*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][3])/
      36864 - (1461103*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
       \[Zeta][3])/36864 + (82073*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2*
       \[Zeta][3])/36864 + (82073*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^3*
       \[Zeta][3])/36864 - (27667*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^3*\[Zeta][3])/18432 + 
     (1900703*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3*\[Zeta][3])/36864 - 
     (259*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^4*\[Zeta][3])/6144 - 
     (259*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4*\[Zeta][3])/6144 + 
     (805*HPL[{1}, 1 - w]^5*\[Zeta][3])/2304 - 
     (898283*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - u]*\[Zeta][3])/9216 - 
     (41731*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][3])/
      1024 + (3422099*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
       \[Zeta][3])/36864 + (960925*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u]*
       \[Zeta][3])/9216 - (41731*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*\[Zeta][3])/1024 - 
     (210445*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*\[Zeta][3])/768 - 
     (180959*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][3])/
      2304 + (2209679*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       \[Zeta][3])/36864 - (180959*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u]*\[Zeta][3])/2304 + 
     (25805*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - u]*\[Zeta][3])/4608 + 
     (102871*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]^2*\[Zeta][3])/512 + 
     (94265*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2*\[Zeta][3])/1024 - 
     (107805*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2*\[Zeta][3])/1024 + 
     (25805*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - v]*\[Zeta][3])/4608 + 
     (2209679*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       \[Zeta][3])/36864 - (41731*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 1}, 1 - v]*\[Zeta][3])/1024 - 
     (898283*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v]*\[Zeta][3])/9216 - 
     (180959*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][3])/
      2304 - (210445*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*\[Zeta][3])/768 - 
     (41731*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][3])/
      1024 - (180959*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*
       \[Zeta][3])/2304 + (3422099*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v]*\[Zeta][3])/36864 + 
     (960925*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - v]*\[Zeta][3])/9216 - 
     (526421*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       \[Zeta][3])/1536 + (48747*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v]*\[Zeta][3])/128 - 
     (1019855*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       \[Zeta][3])/2304 - (107805*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]^2*
       \[Zeta][3])/1024 + (102871*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2*
       \[Zeta][3])/512 + (94265*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2*
       \[Zeta][3])/1024 + (960925*HPL[{1}, 1 - u]^3*HPL[{0, 1}, 1 - w]*
       \[Zeta][3])/9216 - (180959*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*\[Zeta][3])/2304 - 
     (180959*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*\[Zeta][3])/
      2304 + (25805*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w]*\[Zeta][3])/4608 + 
     (3422099*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       \[Zeta][3])/36864 - (210445*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][3])/768 + 
     (2209679*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       \[Zeta][3])/36864 - (41731*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w]*\[Zeta][3])/1024 - 
     (41731*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*\[Zeta][3])/
      1024 - (898283*HPL[{1}, 1 - w]^3*HPL[{0, 1}, 1 - w]*\[Zeta][3])/9216 + 
     (48747*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][3])/
      128 - (1019855*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       \[Zeta][3])/2304 - (526421*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w]*\[Zeta][3])/1536 - 
     (1019855*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       \[Zeta][3])/2304 - (526421*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w]*\[Zeta][3])/1536 + 
     (48747*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][3])/
      128 + (94265*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]^2*\[Zeta][3])/1024 - 
     (107805*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2*\[Zeta][3])/1024 + 
     (102871*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2*\[Zeta][3])/512 - 
     (201811*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - u]*\[Zeta][3])/512 + 
     (33*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][3])/
      256 + (49375*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u]*\[Zeta][3])/768 - 
     (50501*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][3])/
      128 - (604745*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][3])/1536 + (234225*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][3])/1024 - (6265*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][3])/16 - (407257*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][3])/1536 + (48959*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*
       \[Zeta][3])/768 + (234225*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][3])/1024 - (50501*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][3])/128 - 
     (201811*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v]*\[Zeta][3])/512 - 
     (604745*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*
       \[Zeta][3])/1536 + (33*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v]*\[Zeta][3])/256 + 
     (49375*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - v]*\[Zeta][3])/768 + 
     (48959*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][3])/768 - 
     (6265*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][3])/16 - 
     (407257*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][3])/1536 + 
     (49375*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1}, 1 - w]*\[Zeta][3])/768 - 
     (604745*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][3])/1536 + (234225*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - w]*
       \[Zeta][3])/1024 + (33*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w]*\[Zeta][3])/256 - 
     (50501*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][3])/
      128 - (201811*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w]*\[Zeta][3])/512 - 
     (407257*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][3])/1536 + 
     (48959*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][3])/768 - 
     (6265*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][3])/16 + 
     (39*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - u]*\[Zeta][3])/64 - 
     (3010213*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][3])/9216 - (3476119*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][3])/18432 + (627047*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u]*\[Zeta][3])/9216 + 
     (684421*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][3])/1536 - (445069*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][3])/18432 - (303007*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][3])/512 + (1330439*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][3])/1536 - (294613*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*
       \[Zeta][3])/768 - (445069*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][3])/18432 + (627047*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][3])/9216 + 
     (39*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v]*\[Zeta][3])/64 + 
     (684421*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*
       \[Zeta][3])/1536 - (3010213*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v]*\[Zeta][3])/9216 - 
     (3476119*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - v]*\[Zeta][3])/18432 - 
     (294613*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][3])/768 - 
     (303007*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][3])/512 + 
     (1330439*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][3])/1536 - 
     (3476119*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1}, 1 - w]*\[Zeta][3])/18432 + 
     (684421*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][3])/1536 - (445069*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][3])/18432 - (3010213*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w]*\[Zeta][3])/9216 + 
     (627047*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][3])/9216 + (39*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][3])/64 + (1330439*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][3])/1536 - (294613*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][3])/768 - (303007*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*
       \[Zeta][3])/512 - (101207*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u]*
       \[Zeta][3])/256 - (101043*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u]*
       \[Zeta][3])/256 - (HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u]*
       \[Zeta][3])/32 - (HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][3])/
      32 - (101207*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][3])/256 - 
     (101043*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][3])/256 - 
     (101043*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][3])/256 - 
     (HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][3])/32 - 
     (101207*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][3])/256 - 
     (101035*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][3])/256 - 
     (100919*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][3])/128 + 
     (303337*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][3])/256 + 
     (303337*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][3])/256 - 
     (101035*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][3])/256 - 
     (100919*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][3])/128 - 
     (100919*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][3])/128 + 
     (303337*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][3])/256 - 
     (101035*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][3])/256 + 
     (303621*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][3])/512 + 
     (656067*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][3])/512 + 
     (49857*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][3])/512 + 
     (49857*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][3])/512 + 
     (303621*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][3])/512 + 
     (656067*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][3])/512 + 
     (656067*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][3])/512 + 
     (49857*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][3])/512 + 
     (303621*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][3])/512 - 
     (101207*HPL[{0, 0, 0, 0, 1}, 1 - u]*\[Zeta][3])/256 - 
     (101207*HPL[{0, 0, 0, 0, 1}, 1 - v]*\[Zeta][3])/256 - 
     (101207*HPL[{0, 0, 0, 0, 1}, 1 - w]*\[Zeta][3])/256 + 
     (506035*HPL[{0, 0, 0, 1, 1}, 1 - u]*\[Zeta][3])/256 + 
     (506035*HPL[{0, 0, 0, 1, 1}, 1 - v]*\[Zeta][3])/256 + 
     (506035*HPL[{0, 0, 0, 1, 1}, 1 - w]*\[Zeta][3])/256 + 
     (303535*HPL[{0, 0, 1, 0, 1}, 1 - u]*\[Zeta][3])/256 + 
     (303535*HPL[{0, 0, 1, 0, 1}, 1 - v]*\[Zeta][3])/256 + 
     (303535*HPL[{0, 0, 1, 0, 1}, 1 - w]*\[Zeta][3])/256 + 
     (909831*HPL[{0, 0, 1, 1, 1}, 1 - u]*\[Zeta][3])/256 + 
     (909831*HPL[{0, 0, 1, 1, 1}, 1 - v]*\[Zeta][3])/256 + 
     (909831*HPL[{0, 0, 1, 1, 1}, 1 - w]*\[Zeta][3])/256 + 
     (505347*HPL[{0, 1, 0, 1, 1}, 1 - u]*\[Zeta][3])/512 + 
     (505347*HPL[{0, 1, 0, 1, 1}, 1 - v]*\[Zeta][3])/512 + 
     (505347*HPL[{0, 1, 0, 1, 1}, 1 - w]*\[Zeta][3])/512 - 
     (101035*M1[u, v, w]*\[Zeta][3])/512 - (101035*M1[v, w, u]*\[Zeta][3])/
      512 - (101035*M1[w, u, v]*\[Zeta][3])/512 + (43*Nt[u, v, w]*\[Zeta][3])/
      128 - (43*HPL[{1}, 1 - u]*Omega2[u, v, w]*\[Zeta][3])/128 - 
     (101121*HPL[{1}, 1 - v]*Omega2[u, v, w]*\[Zeta][3])/256 + 
     (43*HPL[{1}, 1 - w]*Omega2[u, v, w]*\[Zeta][3])/128 + 
     (43*HPL[{1}, 1 - u]*Omega2[v, w, u]*\[Zeta][3])/128 - 
     (43*HPL[{1}, 1 - v]*Omega2[v, w, u]*\[Zeta][3])/128 - 
     (101121*HPL[{1}, 1 - w]*Omega2[v, w, u]*\[Zeta][3])/256 - 
     (101121*HPL[{1}, 1 - u]*Omega2[w, u, v]*\[Zeta][3])/256 + 
     (43*HPL[{1}, 1 - v]*Omega2[w, u, v]*\[Zeta][3])/128 - 
     (43*HPL[{1}, 1 - w]*Omega2[w, u, v]*\[Zeta][3])/128 + 
     (101207*Ot[u, v, w]*\[Zeta][3])/512 - (101035*Qep[u, w, v]*\[Zeta][3])/
      24 - (101035*Qep[v, u, w]*\[Zeta][3])/24 - 
     (101035*Qep[w, v, u]*\[Zeta][3])/24 + 
     (299189*HPL[{1}, 1 - u]^3*\[Zeta][2]*\[Zeta][3])/3072 - 
     (982117*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][2]*\[Zeta][3])/6144 - 
     (982117*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][2]*\[Zeta][3])/6144 + 
     (299189*HPL[{1}, 1 - v]^3*\[Zeta][2]*\[Zeta][3])/3072 - 
     (982117*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][2]*\[Zeta][3])/6144 + 
     (136473*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2]*
       \[Zeta][3])/512 - (982117*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][2]*
       \[Zeta][3])/6144 - (982117*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       \[Zeta][2]*\[Zeta][3])/6144 - (982117*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]^2*\[Zeta][2]*\[Zeta][3])/6144 + 
     (299189*HPL[{1}, 1 - w]^3*\[Zeta][2]*\[Zeta][3])/3072 + 
     (691141*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*\[Zeta][2]*\[Zeta][3])/3072 - 
     (49703*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2]*\[Zeta][3])/128 + 
     (152367*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2]*\[Zeta][3])/128 + 
     (152367*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][2]*\[Zeta][3])/128 + 
     (691141*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][2]*\[Zeta][3])/3072 - 
     (49703*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2]*\[Zeta][3])/128 - 
     (49703*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][2]*\[Zeta][3])/128 + 
     (152367*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2]*\[Zeta][3])/128 + 
     (691141*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][2]*\[Zeta][3])/3072 - 
     (1715531*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2]*\[Zeta][3])/3072 - 
     (1715531*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2]*\[Zeta][3])/3072 - 
     (1715531*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2]*\[Zeta][3])/3072 + 
     (101743*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2]*\[Zeta][3])/768 + 
     (101743*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2]*\[Zeta][3])/768 + 
     (101743*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2]*\[Zeta][3])/768 - 
     (303363*HPL[{1}, 1 - u]*\[Zeta][2]^2*\[Zeta][3])/320 - 
     (303363*HPL[{1}, 1 - v]*\[Zeta][2]^2*\[Zeta][3])/320 - 
     (303363*HPL[{1}, 1 - w]*\[Zeta][2]^2*\[Zeta][3])/320 + 
     (100843*HPL[{1}, 1 - u]^2*\[Zeta][3]^2)/768 + 
     (1546315*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][3]^2)/3072 + 
     (100843*HPL[{1}, 1 - v]^2*\[Zeta][3]^2)/768 + 
     (1546315*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*\[Zeta][3]^2)/3072 + 
     (1546315*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][3]^2)/3072 + 
     (100843*HPL[{1}, 1 - w]^2*\[Zeta][3]^2)/768 + 
     (504791*HPL[{0, 1}, 1 - u]*\[Zeta][3]^2)/768 + 
     (504791*HPL[{0, 1}, 1 - v]*\[Zeta][3]^2)/768 + 
     (504791*HPL[{0, 1}, 1 - w]*\[Zeta][3]^2)/768 - 
     (3*\[Zeta][2]*\[Zeta][3]^2)/2 - (5*HPL[{1}, 1 - u]^3*\[Zeta][5])/48 + 
     (117409*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][5])/4096 + 
     (117409*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][5])/4096 - 
     (5*HPL[{1}, 1 - v]^3*\[Zeta][5])/48 + 
     (117409*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][5])/4096 - 
     (1504981*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][5])/
      2048 + (117409*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][5])/4096 + 
     (117409*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*\[Zeta][5])/4096 + 
     (117409*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][5])/4096 - 
     (5*HPL[{1}, 1 - w]^3*\[Zeta][5])/48 + 
     (187*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][5])/128 + 
     (187*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][5])/128 + 
     (187*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][5])/128 + 
     (187*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][5])/128 + 
     (187*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][5])/128 + 
     (187*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][5])/128 - 
     (5*HPL[{0, 1, 1}, 1 - u]*\[Zeta][5])/8 - 
     (5*HPL[{0, 1, 1}, 1 - v]*\[Zeta][5])/8 - 
     (5*HPL[{0, 1, 1}, 1 - w]*\[Zeta][5])/8 - (5*\[Zeta][3]*\[Zeta][5])/2 + 
     (3*\[Zeta][5, 3])/2
 
R63 = (15*B1[u, v, w])/64 + (15*B1[u, w, v])/64 + (15*B1[v, u, w])/64 + 
     (15*B1[v, w, u])/64 + (15*B1[w, u, v])/64 + (15*B1[w, v, u])/64 + 
     B10[u, v, w]/32 + B10[v, w, u]/32 + B10[w, u, v]/32 - 
     (3*B11[u, v, w])/8 - (3*B11[v, w, u])/8 - (3*B11[w, u, v])/8 + 
     (15*B2[u, v, w])/64 + (15*B2[u, w, v])/64 + (15*B2[v, u, w])/64 + 
     (15*B2[v, w, u])/64 + (15*B2[w, u, v])/64 + (15*B2[w, v, u])/64 + 
     (9*B3[u, v, w])/32 + (9*B3[v, w, u])/32 + (9*B3[w, u, v])/32 + 
     (7*B4[u, v, w])/32 + (7*B4[v, w, u])/32 + (7*B4[w, u, v])/32 - 
     B5[u, v, w]/64 - B5[u, w, v]/64 - B5[v, u, w]/64 - B5[v, w, u]/64 - 
     B5[w, u, v]/64 - B5[w, v, u]/64 - B6[u, v, w]/64 - B6[u, w, v]/64 - 
     B6[v, u, w]/64 - B6[v, w, u]/64 - B6[w, u, v]/64 - B6[w, v, u]/64 + 
     (3*B7[u, v, w])/16 + (3*B7[v, w, u])/16 + (3*B7[w, u, v])/16 - 
     B8[u, v, w]/32 - B8[v, w, u]/32 - B8[w, u, v]/32 - (33*B9[u, v, w])/8 - 
     (33*B9[v, w, u])/8 - (33*B9[w, u, v])/8 - 
     (3*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]^2)/128 - 
     (51*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^3)/64 - 
     (HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^4)/64 + 
     (9*HPL[{1}, 1 - u]^4*HPL[{1}, 1 - v]*HPL[{1}, 1 - w])/128 + 
     (785*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w])/1536 + 
     (761*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w])/1536 + 
     (9*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w])/128 - 
     (HPL[{1}, 1 - u]^4*HPL[{1}, 1 - w]^2)/128 + 
     (773*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2)/1536 - 
     (457*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2)/128 + 
     (761*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^2)/1536 - 
     (HPL[{1}, 1 - v]^4*HPL[{1}, 1 - w]^2)/64 - 
     (105*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]^3)/128 + 
     (773*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3)/1536 + 
     (785*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^3)/1536 - 
     (51*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]^3)/64 - 
     (HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^4)/128 + 
     (9*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^4)/128 - 
     (3*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^4)/128 + 
     (7*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - u])/256 - 
     (51*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u])/128 - 
     (561*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u])/256 - 
     (625*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - u])/384 - 
     (5*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - u])/256 - 
     (51*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/128 + 
     (1037*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u])/128 + (2735*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/768 + 
     (199*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u])/128 - 
     (1691*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u])/768 + 
     (913*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u])/256 - (335*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - u])/128 - (635*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u])/384 + (201*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - u])/128 - (HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - u])/256 - 
     (25*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]^2)/16 + 
     (201*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]^2)/128 - 
     (9*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]^2)/128 + 
     (193*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2)/128 + 
     (31*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]^2)/16 - 
     (5*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]^2)/128 + 
     (3*HPL[{0, 1}, 1 - u]^3)/2 - (9*HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - v])/
      256 - (211*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v])/128 - 
     (1687*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v])/768 - 
     (51*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - v])/128 + 
     (7*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - v])/256 + 
     (203*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/128 + 
     (2743*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v])/768 + (1037*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/128 - 
     (51*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v])/128 - 
     (335*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v])/128 + 
     (2743*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v])/768 - (1687*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - v])/768 + (203*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - v])/128 - (211*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - v])/128 - (9*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - v])/
      256 - (109*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/
      64 + (139*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/96 - (305*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/192 + (1549*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/192 + 
     (1505*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/192 - (HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - v])/8 + (575*HPL[{0, 1}, 1 - u]^2*HPL[{0, 1}, 1 - v])/
      256 - (13*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]^2)/128 + 
     (197*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]^2)/128 - 
     (25*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]^2)/16 + 
     (65*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2)/32 + 
     (197*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]^2)/128 - 
     (13*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]^2)/128 + 
     (575*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]^2)/256 + 
     (3*HPL[{0, 1}, 1 - v]^3)/2 - (HPL[{1}, 1 - u]^4*HPL[{0, 1}, 1 - w])/
      256 + (201*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w])/128 - 
     (335*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/128 + 
     (199*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*HPL[{0, 1}, 1 - w])/128 - 
     (5*HPL[{1}, 1 - v]^4*HPL[{0, 1}, 1 - w])/256 - 
     (635*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/384 + 
     (913*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - w])/256 + (2735*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/768 - 
     (625*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w])/384 - 
     (1691*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w])/768 + 
     (1037*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w])/128 - (561*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*
       HPL[{0, 1}, 1 - w])/256 - (51*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - w])/128 - (51*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*
       HPL[{0, 1}, 1 - w])/128 + (7*HPL[{1}, 1 - w]^4*HPL[{0, 1}, 1 - w])/
      256 - (283*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/
      192 + (509*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/64 - (HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/8 + (53*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/48 + 
     (509*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/64 - (283*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1}, 1 - w])/192 + (575*HPL[{0, 1}, 1 - u]^2*
       HPL[{0, 1}, 1 - w])/256 - (HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/8 + (1505*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/192 - 
     (305*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/192 + 
     (1549*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1}, 1 - w])/192 + (139*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/96 - 
     (109*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/64 - 
     HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w] + 
     (575*HPL[{0, 1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/256 - 
     (5*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]^2)/128 + 
     (31*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]^2)/16 - 
     (9*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]^2)/128 + 
     (193*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2)/128 + 
     (201*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]^2)/128 - 
     (25*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]^2)/16 + 
     (575*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]^2)/256 + 
     (575*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]^2)/256 + 
     (3*HPL[{0, 1}, 1 - w]^3)/2 + (HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - u])/
      16 - (115*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u])/64 + 
     (131*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - u])/128 - 
     (7*HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - u])/384 - 
     (123*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u])/64 - 
     (169*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/32 - (83*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/96 + (437*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - u])/384 - (57*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - u])/64 - (17*HPL[{1}, 1 - w]^3*
       HPL[{0, 0, 1}, 1 - u])/384 - (95*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - u])/16 - (HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - u])/32 - (HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 0, 1}, 1 - u])/32 - (389*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u])/64 + (5*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u])/192 + (5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - u])/96 - (1147*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/192 - (5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - u])/192 - HPL[{0, 0, 1}, 1 - u]^2/32 + 
     (HPL[{1}, 1 - u]^3*HPL[{0, 0, 1}, 1 - v])/128 + 
     (379*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/384 - 
     (119*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1}, 1 - v])/64 + 
     (HPL[{1}, 1 - v]^3*HPL[{0, 0, 1}, 1 - v])/16 - 
     (11*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/12 - 
     (163*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/32 - (119*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - v])/64 - (11*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - v])/12 + (379*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 0, 1}, 1 - v])/384 + (HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - v])/
      128 + (5*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/64 - 
     (1157*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/192 - 
     (5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/96 - 
     (HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/32 - 
     (95*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/16 - 
     (HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - v])/32 - 
     (5*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/96 - 
     (1157*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/192 + 
     (5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - v])/64 - 
     (169*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - v])/32 - 
     HPL[{0, 0, 1}, 1 - v]^2/32 - (17*HPL[{1}, 1 - u]^3*
       HPL[{0, 0, 1}, 1 - w])/384 - (57*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*
       HPL[{0, 0, 1}, 1 - w])/64 - (83*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*
       HPL[{0, 0, 1}, 1 - w])/96 - (7*HPL[{1}, 1 - v]^3*
       HPL[{0, 0, 1}, 1 - w])/384 + (437*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*
       HPL[{0, 0, 1}, 1 - w])/384 - (169*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*
       HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/32 + 
     (131*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/128 - 
     (123*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w])/64 - 
     (115*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1}, 1 - w])/64 + 
     (HPL[{1}, 1 - w]^3*HPL[{0, 0, 1}, 1 - w])/16 - 
     (5*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/192 - 
     (1147*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/192 + 
     (5*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/96 + 
     (5*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/192 - 
     (389*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/64 - 
     (HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/32 - 
     (HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/32 - 
     (95*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1}, 1 - w])/16 - 
     (169*HPL[{0, 0, 1}, 1 - u]*HPL[{0, 0, 1}, 1 - w])/32 - 
     (169*HPL[{0, 0, 1}, 1 - v]*HPL[{0, 0, 1}, 1 - w])/32 - 
     HPL[{0, 0, 1}, 1 - w]^2/32 + (HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - u])/
      8 + (13*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u])/32 + 
     (609*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - u])/128 + 
     (5*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - u])/384 + 
     (17*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u])/32 - 
     (289*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/32 - (1919*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/384 + (1823*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - u])/384 - (643*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - u])/128 - (5*HPL[{1}, 1 - w]^3*
       HPL[{0, 1, 1}, 1 - u])/384 - (HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/32 + (9*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/64 + (9*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/64 - (HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/64 + (17*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/192 - (31*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/96 - (79*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/192 - (HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/8 + (55*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/192 - (HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - u])/16 - (HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - u])/32 - (HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - u])/32 + (7*HPL[{0, 1, 1}, 1 - u]^2)/32 + 
     (5*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - v])/128 + 
     (1861*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/384 + 
     (15*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - v])/32 + 
     (HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - v])/8 - 
     (1939*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v])/384 - 
     (295*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/32 + (15*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/32 - (1939*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - v])/384 + (1861*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - v])/384 + (5*HPL[{1}, 1 - w]^3*
       HPL[{0, 1, 1}, 1 - v])/128 - (7*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/64 - (41*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/192 + (7*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/96 + (9*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/64 - (HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/32 + (9*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/64 + (7*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/96 - (41*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/192 - (7*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/64 - (HPL[{0, 0, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/32 - (HPL[{0, 0, 1}, 1 - v]*
       HPL[{0, 1, 1}, 1 - v])/16 - (HPL[{0, 0, 1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - v])/32 + (345*HPL[{0, 1, 1}, 1 - u]*
       HPL[{0, 1, 1}, 1 - v])/32 + (7*HPL[{0, 1, 1}, 1 - v]^2)/32 - 
     (5*HPL[{1}, 1 - u]^3*HPL[{0, 1, 1}, 1 - w])/384 - 
     (643*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/128 - 
     (1919*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1}, 1 - w])/384 + 
     (5*HPL[{1}, 1 - v]^3*HPL[{0, 1, 1}, 1 - w])/384 + 
     (1823*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/384 - 
     (289*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/32 + (609*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*
       HPL[{0, 1, 1}, 1 - w])/128 + (17*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - w])/32 + (13*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*
       HPL[{0, 1, 1}, 1 - w])/32 + (HPL[{1}, 1 - w]^3*HPL[{0, 1, 1}, 1 - w])/
      8 + (55*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/192 - 
     (HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/8 - 
     (79*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/192 - 
     (31*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/96 + 
     (17*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/192 - 
     (HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/64 + 
     (9*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/64 + 
     (9*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/64 - 
     (HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/32 - 
     (HPL[{0, 0, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/32 - 
     (HPL[{0, 0, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/32 - 
     (HPL[{0, 0, 1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/16 + 
     (345*HPL[{0, 1, 1}, 1 - u]*HPL[{0, 1, 1}, 1 - w])/32 + 
     (345*HPL[{0, 1, 1}, 1 - v]*HPL[{0, 1, 1}, 1 - w])/32 + 
     (7*HPL[{0, 1, 1}, 1 - w]^2)/32 - 
     (13*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - u])/32 - 
     (71*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/32 + 
     (17*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - u])/64 - 
     (67*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/32 - 
     (95*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/8 + 
     (13*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - u])/64 - 
     (47*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - u])/8 - 
     (95*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - u])/16 - 
     (95*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - u])/16 + 
     (21*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - v])/64 - 
     (69*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/32 - 
     (13*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - v])/32 - 
     (193*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/16 - 
     (69*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/32 + 
     (21*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - v])/64 - 
     (95*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - v])/16 - 
     (47*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - v])/8 - 
     (95*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - v])/16 + 
     (13*HPL[{1}, 1 - u]^2*HPL[{0, 0, 0, 1}, 1 - w])/64 - 
     (95*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/8 + 
     (17*HPL[{1}, 1 - v]^2*HPL[{0, 0, 0, 1}, 1 - w])/64 - 
     (67*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/32 - 
     (71*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/32 - 
     (13*HPL[{1}, 1 - w]^2*HPL[{0, 0, 0, 1}, 1 - w])/32 - 
     (95*HPL[{0, 1}, 1 - u]*HPL[{0, 0, 0, 1}, 1 - w])/16 - 
     (95*HPL[{0, 1}, 1 - v]*HPL[{0, 0, 0, 1}, 1 - w])/16 - 
     (47*HPL[{0, 1}, 1 - w]*HPL[{0, 0, 0, 1}, 1 - w])/8 + 
     (19*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - u])/32 - 
     (45*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/16 - 
     (5*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - u])/64 - 
     (35*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/16 - 
     (9*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/4 - 
     (25*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - u])/64 + 
     (HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - u])/8 - 
     (HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - u])/16 - 
     (HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - u])/16 + 
     (15*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - v])/64 - 
     (5*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v])/2 + 
     (19*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - v])/32 - 
     (51*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/16 - 
     (5*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/2 + 
     (15*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - v])/64 - 
     (HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - v])/16 + 
     (HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - v])/8 - 
     (HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - v])/16 - 
     (25*HPL[{1}, 1 - u]^2*HPL[{0, 0, 1, 1}, 1 - w])/64 - 
     (9*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/4 - 
     (5*HPL[{1}, 1 - v]^2*HPL[{0, 0, 1, 1}, 1 - w])/64 - 
     (35*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/16 - 
     (45*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/16 + 
     (19*HPL[{1}, 1 - w]^2*HPL[{0, 0, 1, 1}, 1 - w])/32 - 
     (HPL[{0, 1}, 1 - u]*HPL[{0, 0, 1, 1}, 1 - w])/16 - 
     (HPL[{0, 1}, 1 - v]*HPL[{0, 0, 1, 1}, 1 - w])/16 + 
     (HPL[{0, 1}, 1 - w]*HPL[{0, 0, 1, 1}, 1 - w])/8 - 
     (15*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - u])/16 - 
     (75*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/64 - 
     (3*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - u])/64 - 
     (99*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/64 + 
     (417*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/32 + 
     (9*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - u])/64 + 
     (297*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - u])/32 + 
     (153*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - u])/16 + 
     (153*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - u])/16 - 
     (15*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - v])/64 - 
     (87*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/64 - 
     (15*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - v])/16 + 
     (435*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/32 - 
     (87*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/64 - 
     (15*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - v])/64 + 
     (153*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - v])/16 + 
     (297*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - v])/32 + 
     (153*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - v])/16 + 
     (9*HPL[{1}, 1 - u]^2*HPL[{0, 1, 1, 1}, 1 - w])/64 + 
     (417*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/32 - 
     (3*HPL[{1}, 1 - v]^2*HPL[{0, 1, 1, 1}, 1 - w])/64 - 
     (99*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/64 - 
     (75*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/64 - 
     (15*HPL[{1}, 1 - w]^2*HPL[{0, 1, 1, 1}, 1 - w])/16 + 
     (153*HPL[{0, 1}, 1 - u]*HPL[{0, 1, 1, 1}, 1 - w])/16 + 
     (153*HPL[{0, 1}, 1 - v]*HPL[{0, 1, 1, 1}, 1 - w])/16 + 
     (297*HPL[{0, 1}, 1 - w]*HPL[{0, 1, 1, 1}, 1 - w])/32 - 
     (3*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 0, 1}, 1 - u])/2 - 
     (3*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 0, 1}, 1 - v])/2 - 
     (3*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 0, 1}, 1 - w])/2 + 
     (7*HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - u])/8 + 
     (HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - u])/16 + 
     (HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - u])/16 + 
     (HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - v])/16 + 
     (7*HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - v])/8 + 
     (HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - v])/16 + 
     (HPL[{1}, 1 - u]*HPL[{0, 0, 0, 1, 1}, 1 - w])/16 + 
     (HPL[{1}, 1 - v]*HPL[{0, 0, 0, 1, 1}, 1 - w])/16 + 
     (7*HPL[{1}, 1 - w]*HPL[{0, 0, 0, 1, 1}, 1 - w])/8 - 
     (5*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - u])/32 + 
     (5*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - u])/64 + 
     (5*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - u])/64 + 
     (5*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - v])/64 - 
     (5*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - v])/32 + 
     (5*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - v])/64 + 
     (5*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 0, 1}, 1 - w])/64 + 
     (5*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 0, 1}, 1 - w])/64 - 
     (5*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 0, 1}, 1 - w])/32 - 
     (21*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - u])/8 - 
     (15*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - u])/16 - 
     (15*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - u])/16 - 
     (15*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - v])/16 - 
     (21*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - v])/8 - 
     (15*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - v])/16 - 
     (15*HPL[{1}, 1 - u]*HPL[{0, 0, 1, 1, 1}, 1 - w])/16 - 
     (15*HPL[{1}, 1 - v]*HPL[{0, 0, 1, 1, 1}, 1 - w])/16 - 
     (21*HPL[{1}, 1 - w]*HPL[{0, 0, 1, 1, 1}, 1 - w])/8 - 
     (13*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - u])/32 - 
     (19*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - u])/64 - 
     (19*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - u])/64 - 
     (19*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - v])/64 - 
     (13*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - v])/32 - 
     (19*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - v])/64 - 
     (19*HPL[{1}, 1 - u]*HPL[{0, 1, 0, 1, 1}, 1 - w])/64 - 
     (19*HPL[{1}, 1 - v]*HPL[{0, 1, 0, 1, 1}, 1 - w])/64 - 
     (13*HPL[{1}, 1 - w]*HPL[{0, 1, 0, 1, 1}, 1 - w])/32 + 
     (9*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - u])/4 + 
     (3*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - u])/8 + 
     (3*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - u])/8 + 
     (3*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - v])/8 + 
     (9*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - v])/4 + 
     (3*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - v])/8 + 
     (3*HPL[{1}, 1 - u]*HPL[{0, 1, 1, 1, 1}, 1 - w])/8 + 
     (3*HPL[{1}, 1 - v]*HPL[{0, 1, 1, 1, 1}, 1 - w])/8 + 
     (9*HPL[{1}, 1 - w]*HPL[{0, 1, 1, 1, 1}, 1 - w])/4 - 
     (3*HPL[{0, 0, 0, 0, 0, 1}, 1 - u])/2 - 
     (3*HPL[{0, 0, 0, 0, 0, 1}, 1 - v])/2 - 
     (3*HPL[{0, 0, 0, 0, 0, 1}, 1 - w])/2 + 
     (7*HPL[{0, 0, 0, 0, 1, 1}, 1 - u])/8 + 
     (7*HPL[{0, 0, 0, 0, 1, 1}, 1 - v])/8 + 
     (7*HPL[{0, 0, 0, 0, 1, 1}, 1 - w])/8 - 
     (3*HPL[{0, 0, 0, 1, 0, 1}, 1 - u])/32 - 
     (3*HPL[{0, 0, 0, 1, 0, 1}, 1 - v])/32 - 
     (3*HPL[{0, 0, 0, 1, 0, 1}, 1 - w])/32 - 
     (51*HPL[{0, 0, 0, 1, 1, 1}, 1 - u])/16 - 
     (51*HPL[{0, 0, 0, 1, 1, 1}, 1 - v])/16 - 
     (51*HPL[{0, 0, 0, 1, 1, 1}, 1 - w])/16 - 
     (11*HPL[{0, 0, 1, 0, 1, 1}, 1 - u])/16 - 
     (11*HPL[{0, 0, 1, 0, 1, 1}, 1 - v])/16 - 
     (11*HPL[{0, 0, 1, 0, 1, 1}, 1 - w])/16 - 
     (3*HPL[{0, 0, 1, 1, 0, 1}, 1 - u])/32 - 
     (3*HPL[{0, 0, 1, 1, 0, 1}, 1 - v])/32 - 
     (3*HPL[{0, 0, 1, 1, 0, 1}, 1 - w])/32 + 
     (21*HPL[{0, 0, 1, 1, 1, 1}, 1 - u])/8 + 
     (21*HPL[{0, 0, 1, 1, 1, 1}, 1 - v])/8 + 
     (21*HPL[{0, 0, 1, 1, 1, 1}, 1 - w])/8 + 
     (3*HPL[{0, 1, 0, 1, 1, 1}, 1 - u])/32 + 
     (3*HPL[{0, 1, 0, 1, 1, 1}, 1 - v])/32 + 
     (3*HPL[{0, 1, 0, 1, 1, 1}, 1 - w])/32 - 
     (105*HPL[{0, 1, 1, 1, 1, 1}, 1 - u])/32 - 
     (105*HPL[{0, 1, 1, 1, 1, 1}, 1 - v])/32 - 
     (105*HPL[{0, 1, 1, 1, 1, 1}, 1 - w])/32 - (HPL[{1}, 1 - u]*M1[u, v, w])/
      16 + (HPL[{1}, 1 - v]*M1[u, v, w])/32 + (HPL[{1}, 1 - w]*M1[u, v, w])/
      32 + (HPL[{1}, 1 - u]*M1[v, u, w])/16 - (HPL[{1}, 1 - v]*M1[v, u, w])/
      32 - (HPL[{1}, 1 - w]*M1[v, u, w])/32 - (HPL[{1}, 1 - u]*M1[v, w, u])/
      32 - (HPL[{1}, 1 - v]*M1[v, w, u])/32 + (HPL[{1}, 1 - w]*M1[v, w, u])/
      16 + (HPL[{1}, 1 - u]*M1[w, v, u])/32 + (HPL[{1}, 1 - v]*M1[w, v, u])/
      32 - (HPL[{1}, 1 - w]*M1[w, v, u])/16 + 
     (9*HPL[{1}, 1 - u]^2*Omega2[u, v, w])/64 + 
     (25*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[u, v, w])/8 + 
     (5*HPL[{1}, 1 - v]^2*Omega2[u, v, w])/64 - 
     (105*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[u, v, w])/32 - 
     (101*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[u, v, w])/32 + 
     (HPL[{1}, 1 - w]^2*Omega2[u, v, w])/32 - 
     (25*HPL[{0, 1}, 1 - u]*Omega2[u, v, w])/8 - 
     (25*HPL[{0, 1}, 1 - v]*Omega2[u, v, w])/8 - 
     (25*HPL[{0, 1}, 1 - w]*Omega2[u, v, w])/8 + 
     (HPL[{1}, 1 - u]^2*Omega2[v, w, u])/32 - 
     (101*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[v, w, u])/32 + 
     (5*HPL[{1}, 1 - v]^2*Omega2[v, w, u])/64 - 
     (105*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[v, w, u])/32 + 
     (25*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[v, w, u])/8 + 
     (9*HPL[{1}, 1 - w]^2*Omega2[v, w, u])/64 - 
     (25*HPL[{0, 1}, 1 - u]*Omega2[v, w, u])/8 - 
     (25*HPL[{0, 1}, 1 - v]*Omega2[v, w, u])/8 - 
     (25*HPL[{0, 1}, 1 - w]*Omega2[v, w, u])/8 + 
     (HPL[{1}, 1 - u]^2*Omega2[w, u, v])/64 - 
     (103*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*Omega2[w, u, v])/32 + 
     (HPL[{1}, 1 - v]^2*Omega2[w, u, v])/32 + 
     (53*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*Omega2[w, u, v])/16 - 
     (103*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*Omega2[w, u, v])/32 + 
     (HPL[{1}, 1 - w]^2*Omega2[w, u, v])/64 - 
     (25*HPL[{0, 1}, 1 - u]*Omega2[w, u, v])/8 - 
     (25*HPL[{0, 1}, 1 - v]*Omega2[w, u, v])/8 - 
     (25*HPL[{0, 1}, 1 - w]*Omega2[w, u, v])/8 + (13*Phi6[u, v, w]^2)/8 + 
     (2*HPL[{1}, 1 - u]*Qep[u, v, w])/3 + (HPL[{1}, 1 - v]*Qep[u, v, w])/3 - 
     HPL[{1}, 1 - w]*Qep[u, v, w] - (2*HPL[{1}, 1 - u]*Qep[u, w, v])/3 - 
     (HPL[{1}, 1 - v]*Qep[u, w, v])/3 + HPL[{1}, 1 - w]*Qep[u, w, v] - 
     (HPL[{1}, 1 - u]*Qep[v, u, w])/3 + (HPL[{1}, 1 - w]*Qep[v, u, w])/3 + 
     (HPL[{1}, 1 - u]*Qep[v, w, u])/3 - (HPL[{1}, 1 - w]*Qep[v, w, u])/3 + 
     HPL[{1}, 1 - u]*Qep[w, u, v] - (HPL[{1}, 1 - v]*Qep[w, u, v])/3 - 
     (2*HPL[{1}, 1 - w]*Qep[w, u, v])/3 - HPL[{1}, 1 - u]*Qep[w, v, u] + 
     (HPL[{1}, 1 - v]*Qep[w, v, u])/3 + (2*HPL[{1}, 1 - w]*Qep[w, v, u])/3 - 
     (5*HPL[{1}, 1 - u]^4*\[Zeta][2])/128 - 
     (39*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - v]*\[Zeta][2])/128 + 
     (157*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2*\[Zeta][2])/32 - 
     (39*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^3*\[Zeta][2])/128 - 
     (5*HPL[{1}, 1 - v]^4*\[Zeta][2])/128 - 
     (39*HPL[{1}, 1 - u]^3*HPL[{1}, 1 - w]*\[Zeta][2])/128 - 
     (157*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2])/32 - 
     (157*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][2])/32 - 
     (39*HPL[{1}, 1 - v]^3*HPL[{1}, 1 - w]*\[Zeta][2])/128 + 
     (157*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2*\[Zeta][2])/32 - 
     (157*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][2])/32 + 
     (157*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2*\[Zeta][2])/32 - 
     (39*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^3*\[Zeta][2])/128 - 
     (39*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^3*\[Zeta][2])/128 - 
     (5*HPL[{1}, 1 - w]^4*\[Zeta][2])/128 + 
     (407*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2])/64 + 
     (265*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][2])/
      128 + (411*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2])/64 + 
     (329*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2])/
      128 - 6*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][2] + 
     (395*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u]*\[Zeta][2])/64 + 
     (55*HPL[{0, 1}, 1 - u]^2*\[Zeta][2])/16 + 
     (427*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2])/64 + 
     (297*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][2])/
      128 + (407*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2])/64 - 
     (27*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2])/4 + 
     (297*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][2])/
      128 + (427*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v]*\[Zeta][2])/64 + 
     (429*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][2])/32 + 
     (55*HPL[{0, 1}, 1 - v]^2*\[Zeta][2])/16 + 
     (395*HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2])/64 - 
     6*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][2] + 
     (411*HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w]*\[Zeta][2])/64 + 
     (329*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][2])/
      128 + (265*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/128 + (407*HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/64 + (429*HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/32 + (429*HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w]*
       \[Zeta][2])/32 + (55*HPL[{0, 1}, 1 - w]^2*\[Zeta][2])/16 + 
     (783*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/64 + 
     (13*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/128 + 
     (13*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - u]*\[Zeta][2])/128 + 
     (13*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/128 + 
     (783*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/64 + 
     (13*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - v]*\[Zeta][2])/128 + 
     (13*HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/128 + 
     (13*HPL[{1}, 1 - v]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/128 + 
     (783*HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w]*\[Zeta][2])/64 - 
     (HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/16 - 
     (561*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/32 - 
     (561*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - u]*\[Zeta][2])/32 - 
     (561*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/32 - 
     (HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/16 - 
     (561*HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - v]*\[Zeta][2])/32 - 
     (561*HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/32 - 
     (561*HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/32 - 
     (HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w]*\[Zeta][2])/16 + 
     (197*HPL[{0, 0, 0, 1}, 1 - u]*\[Zeta][2])/16 + 
     (197*HPL[{0, 0, 0, 1}, 1 - v]*\[Zeta][2])/16 + 
     (197*HPL[{0, 0, 0, 1}, 1 - w]*\[Zeta][2])/16 - 
     (HPL[{0, 0, 1, 1}, 1 - u]*\[Zeta][2])/16 - 
     (HPL[{0, 0, 1, 1}, 1 - v]*\[Zeta][2])/16 - 
     (HPL[{0, 0, 1, 1}, 1 - w]*\[Zeta][2])/16 - 
     (309*HPL[{0, 1, 1, 1}, 1 - u]*\[Zeta][2])/16 - 
     (309*HPL[{0, 1, 1, 1}, 1 - v]*\[Zeta][2])/16 - 
     (309*HPL[{0, 1, 1, 1}, 1 - w]*\[Zeta][2])/16 + 
     (51*Omega2[u, v, w]*\[Zeta][2])/8 + (51*Omega2[v, w, u]*\[Zeta][2])/8 + 
     (51*Omega2[w, u, v]*\[Zeta][2])/8 - (49*HPL[{1}, 1 - u]^2*\[Zeta][2]^2)/
      8 - (29*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*\[Zeta][2]^2)/10 - 
     (49*HPL[{1}, 1 - v]^2*\[Zeta][2]^2)/8 - 
     (29*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]*\[Zeta][2]^2)/10 - 
     (29*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][2]^2)/10 - 
     (49*HPL[{1}, 1 - w]^2*\[Zeta][2]^2)/8 - 
     (713*HPL[{0, 1}, 1 - u]*\[Zeta][2]^2)/20 - 
     (713*HPL[{0, 1}, 1 - v]*\[Zeta][2]^2)/20 - 
     (713*HPL[{0, 1}, 1 - w]*\[Zeta][2]^2)/20 + (299*\[Zeta][2]^3)/6 - 
     (3*HPL[{1}, 1 - u]^3*\[Zeta][3])/32 - 
     (125*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]*\[Zeta][3])/128 - 
     (125*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]^2*\[Zeta][3])/128 - 
     (3*HPL[{1}, 1 - v]^3*\[Zeta][3])/32 - 
     (125*HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]*\[Zeta][3])/128 - 
     (87*HPL[{1}, 1 - u]*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]*\[Zeta][3])/32 - 
     (125*HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]*\[Zeta][3])/128 - 
     (125*HPL[{1}, 1 - u]*HPL[{1}, 1 - w]^2*\[Zeta][3])/128 - 
     (125*HPL[{1}, 1 - v]*HPL[{1}, 1 - w]^2*\[Zeta][3])/128 - 
     (3*HPL[{1}, 1 - w]^3*\[Zeta][3])/32 - 
     (7*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - u]*\[Zeta][3])/16 + 
     (5*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - u]*\[Zeta][3])/16 + 
     (5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - u]*\[Zeta][3])/16 + 
     (5*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - v]*\[Zeta][3])/16 - 
     (7*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - v]*\[Zeta][3])/16 + 
     (5*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - v]*\[Zeta][3])/16 + 
     (5*HPL[{1}, 1 - u]*HPL[{0, 1}, 1 - w]*\[Zeta][3])/16 + 
     (5*HPL[{1}, 1 - v]*HPL[{0, 1}, 1 - w]*\[Zeta][3])/16 - 
     (7*HPL[{1}, 1 - w]*HPL[{0, 1}, 1 - w]*\[Zeta][3])/16 + \[Zeta][3]^2
 
R62 = -(HPL[{1}, 1 - u]^2*HPL[{1}, 1 - v]^2)/16 - 
     (HPL[{1}, 1 - u]^2*HPL[{1}, 1 - w]^2)/16 - 
     (HPL[{1}, 1 - v]^2*HPL[{1}, 1 - w]^2)/16 + 
     (HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - u])/4 - 
     (HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - u])/8 - 
     (HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - u])/8 - HPL[{0, 1}, 1 - u]^2/4 - 
     (HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - v])/8 + 
     (HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - v])/4 - 
     (HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - v])/8 - 
     (HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - v])/4 - HPL[{0, 1}, 1 - v]^2/4 - 
     (HPL[{1}, 1 - u]^2*HPL[{0, 1}, 1 - w])/8 - 
     (HPL[{1}, 1 - v]^2*HPL[{0, 1}, 1 - w])/8 + 
     (HPL[{1}, 1 - w]^2*HPL[{0, 1}, 1 - w])/4 - 
     (HPL[{0, 1}, 1 - u]*HPL[{0, 1}, 1 - w])/4 - 
     (HPL[{0, 1}, 1 - v]*HPL[{0, 1}, 1 - w])/4 - HPL[{0, 1}, 1 - w]^2/4 + 
     HPL[{1}, 1 - u]*HPL[{0, 0, 1}, 1 - u] + HPL[{1}, 1 - v]*
      HPL[{0, 0, 1}, 1 - v] + HPL[{1}, 1 - w]*HPL[{0, 0, 1}, 1 - w] - 
     (HPL[{1}, 1 - u]*HPL[{0, 1, 1}, 1 - u])/2 - 
     (HPL[{1}, 1 - v]*HPL[{0, 1, 1}, 1 - v])/2 - 
     (HPL[{1}, 1 - w]*HPL[{0, 1, 1}, 1 - w])/2 + HPL[{0, 0, 0, 1}, 1 - u] + 
     HPL[{0, 0, 0, 1}, 1 - v] + HPL[{0, 0, 0, 1}, 1 - w] - 
     HPL[{0, 0, 1, 1}, 1 - u]/2 - HPL[{0, 0, 1, 1}, 1 - v]/2 - 
     HPL[{0, 0, 1, 1}, 1 - w]/2 + Omega2[u, v, w]/4 + Omega2[v, w, u]/4 + 
     Omega2[w, u, v]/4 - (HPL[{1}, 1 - u]^2*\[Zeta][2])/4 - 
     (HPL[{1}, 1 - v]^2*\[Zeta][2])/4 - (HPL[{1}, 1 - w]^2*\[Zeta][2])/4 - 
     (HPL[{0, 1}, 1 - u]*\[Zeta][2])/2 - (HPL[{0, 1}, 1 - v]*\[Zeta][2])/2 - 
     (HPL[{0, 1}, 1 - w]*\[Zeta][2])/2 + (4*\[Zeta][2]^2)/5
 
R61 = 0

V4 = E4 - E2*R62 + R62^2/2 - E1*R63 - R64 + (E3*Y)/2 - (E1*R62*Y)/2 - 
     (R63*Y)/2 + (E2*Y^2)/8 - (R62*Y^2)/8 + (E1*Y^3)/48 + Y^4/384 - 
     (E2*Y*\[Zeta][2])/2 + (R62*Y*\[Zeta][2])/2 - (E1*Y^2*\[Zeta][2])/4 - 
     (Y^3*\[Zeta][2])/16 + (11*E1*Y*\[Zeta][2]^2)/10 + 
     (27*Y^2*\[Zeta][2]^2)/40 - (219*Y*\[Zeta][2]^3)/70 - (Y*\[Zeta][3]^2)/2
 
V3 = E3 - E1*R62 - R63 + (E2*Y)/2 - (R62*Y)/2 + (E1*Y^2)/8 + Y^3/48 - 
     (E1*Y*\[Zeta][2])/2 - (Y^2*\[Zeta][2])/4 + (11*Y*\[Zeta][2]^2)/10
 
V2 = E2 - R62 + (E1*Y)/2 + Y^2/8 - (Y*\[Zeta][2])/2
 
V1 = E1 + Y/2
 
Vt4 = Et4 - Et2*R62 + (Et3*Y)/2 + (Et2*Y^2)/8 - (Et2*Y*\[Zeta][2])/2
 
Vt3 = Et3 + (Et2*Y)/2
 
Vt2 = Et2

Vt1 = 0

U4 = -E1^4/4 + E1^2*E2 - E2^2/2 - E1*E3 + E4

U3 = E1^3/3 - E1*E2 + E3

U2 = -E1^2/2 + E2

U1 = E1

Y = HPL[{1}, 1 - u]^2/2 + HPL[{1}, 1 - v]^2/2 + HPL[{1}, 1 - w]^2/2 + 
     HPL[{0, 1}, 1 - u] + HPL[{0, 1}, 1 - v] + HPL[{0, 1}, 1 - w]